TSTP Solution File: SWW365+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW365+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 : Fri Sep 1 00:14:02 EDT 2023
% Result : Theorem 92.26s 92.07s
% Output : CNFRefutation 92.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW365+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 20:30:34 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 91.84/91.96 %-------------------------------------------
% 91.84/91.96 % File :CSE---1.6
% 91.84/91.96 % Problem :theBenchmark
% 91.84/91.96 % Transform :cnf
% 91.84/91.96 % Format :tptp:raw
% 91.84/91.96 % Command :java -jar mcs_scs.jar %d %s
% 91.84/91.96
% 91.84/91.96 % Result :Theorem 88.300000s
% 91.84/91.96 % Output :CNFRefutation 88.300000s
% 91.84/91.96 %-------------------------------------------
% 91.84/91.97 %------------------------------------------------------------------------------
% 91.84/91.97 % File : SWW365+1 : TPTP v8.1.2. Released v5.2.0.
% 91.84/91.97 % Domain : Software Verification
% 91.84/91.97 % Problem : Hoare's Logic with Procedures 435444, 5000 axioms selected
% 91.84/91.97 % Version : Especial.
% 91.84/91.97 % English :
% 91.84/91.97
% 91.84/91.97 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 91.84/91.97 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 91.84/91.97 % Source : [Bla11]
% 91.84/91.97 % Names : hoare_435444.5000.p [Bla11]
% 91.84/91.97
% 91.84/91.97 % Status : ContradictoryAxioms
% 91.84/91.97 % Rating : 0.56 v8.1.0, 0.64 v7.5.0, 0.66 v7.4.0, 0.83 v7.3.0, 0.66 v7.1.0, 0.65 v7.0.0, 0.70 v6.4.0, 0.65 v6.3.0, 0.62 v6.2.0, 0.76 v6.1.0, 0.80 v6.0.0, 0.78 v5.5.0, 0.81 v5.4.0, 0.86 v5.3.0, 0.89 v5.2.0
% 91.84/91.97 % Syntax : Number of formulae : 5231 (1640 unt; 0 def)
% 91.84/91.97 % Number of atoms : 12836 (4423 equ)
% 91.84/91.97 % Maximal formula atoms : 13 ( 2 avg)
% 91.84/91.97 % Number of connectives : 8612 (1007 ~; 154 |; 737 &)
% 91.84/91.97 % ( 911 <=>;5803 =>; 0 <=; 0 <~>)
% 91.84/91.97 % Maximal formula depth : 22 ( 6 avg)
% 91.84/91.97 % Maximal term depth : 19 ( 2 avg)
% 91.84/91.97 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 91.84/91.97 % Number of functors : 378 ( 378 usr; 51 con; 0-7 aty)
% 91.84/91.97 % Number of variables : 16546 (16394 !; 152 ?)
% 91.84/91.97 % SPC : FOF_CAX_RFO_SEQ
% 91.84/91.97
% 91.84/91.97 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 91.84/91.97 % 2011-03-01 12:38:07
% 91.84/91.97 %------------------------------------------------------------------------------
% 91.84/91.97 %----Relevant facts (4983)
% 91.84/91.97 fof(fact_ext,axiom,
% 91.84/91.97 ! [V_g_2,V_f_2] :
% 91.84/91.97 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 91.84/91.97 => V_f_2 = V_g_2 ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_assms_I1_J,axiom,
% 91.84/91.97 ! [V_G_2,V_ts_2] :
% 91.84/91.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 91.84/91.97 => v_P(V_G_2,V_ts_2) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_assms_I3_J,axiom,
% 91.84/91.97 ! [V_G_2,V_c_2] :
% 91.84/91.97 ( v_wt(V_c_2)
% 91.84/91.97 => ( ! [B_x] :
% 91.84/91.97 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 91.84/91.97 => 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)))) )
% 91.84/91.97 => 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)))) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_finite__imageI,axiom,
% 91.84/91.97 ! [V_h_2,T_c,V_F_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.84/91.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_card__insert__if,axiom,
% 91.84/91.97 ! [V_x_2,V_A_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.84/91.97 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.97 => 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) )
% 91.84/91.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.97 => 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)) ) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_card__insert__disjoint,axiom,
% 91.84/91.97 ! [V_x_2,V_A_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.84/91.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.97 => 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)) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_empty__subsetI,axiom,
% 91.84/91.97 ! [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)) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_finite_OinsertI,axiom,
% 91.84/91.97 ! [V_a_2,V_A_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.84/91.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_finite_OemptyI,axiom,
% 91.84/91.97 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_image__eqI,axiom,
% 91.84/91.97 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 91.84/91.97 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 91.84/91.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_subsetD,axiom,
% 91.84/91.97 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.84/91.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_insertE,axiom,
% 91.84/91.97 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 91.84/91.97 => ( V_a_2 != V_b_2
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_insertCI,axiom,
% 91.84/91.97 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 91.84/91.97 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 91.84/91.97 => V_a_2 = V_b_2 )
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_emptyE,axiom,
% 91.84/91.97 ! [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)))) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_equalityCE,axiom,
% 91.84/91.97 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 91.84/91.97 ( V_A_2 = V_B_2
% 91.84/91.97 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.84/91.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 91.84/91.97 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_equalityI,axiom,
% 91.84/91.97 ! [V_B_2,V_A_2,T_b] :
% 91.84/91.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.84/91.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.84/91.97 => V_A_2 = V_B_2 ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_eq__mem__trans,axiom,
% 91.84/91.97 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 91.84/91.97 ( V_a_2 = V_b_2
% 91.84/91.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 91.84/91.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.84/91.97
% 91.84/91.97 fof(fact_eqelem__imp__iff,axiom,
% 91.84/91.97 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 91.84/91.97 ( V_x_2 = V_y_2
% 91.84/91.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.97 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_eqset__imp__iff,axiom,
% 91.84/91.98 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 91.84/91.98 ( V_A_2 = V_B_2
% 91.84/91.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.98 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_mem__def,axiom,
% 91.84/91.98 ! [V_A_2,V_x_2,T_b] :
% 91.84/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.84/91.98 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_finite__code,axiom,
% 91.84/91.98 ! [V_A_2,T_b] :
% 91.84/91.98 ( class_Finite__Set_Ofinite(T_b)
% 91.84/91.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_finite,axiom,
% 91.84/91.98 ! [V_A_2,T_b] :
% 91.84/91.98 ( class_Finite__Set_Ofinite(T_b)
% 91.84/91.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_insert__code,axiom,
% 91.84/91.98 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 91.84/91.98 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 91.84/91.98 <=> ( V_y_2 = V_x_2
% 91.84/91.98 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_insert__commute,axiom,
% 91.84/91.98 ! [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)) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_insert__absorb2,axiom,
% 91.84/91.98 ! [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) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_equalityE,axiom,
% 91.84/91.98 ! [T_b,V_B_2,V_A_2] :
% 91.84/91.98 ( V_A_2 = V_B_2
% 91.84/91.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.84/91.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_subset__trans,axiom,
% 91.84/91.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.84/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.84/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.84/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_equalityD2,axiom,
% 91.84/91.98 ! [T_b,V_B_2,V_A_2] :
% 91.84/91.98 ( V_A_2 = V_B_2
% 91.84/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_equalityD1,axiom,
% 91.84/91.98 ! [T_b,V_B_2,V_A_2] :
% 91.84/91.98 ( V_A_2 = V_B_2
% 91.84/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_set__eq__subset,axiom,
% 91.84/91.98 ! [T_b,V_B_2,V_A_2] :
% 91.84/91.98 ( V_A_2 = V_B_2
% 91.84/91.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.84/91.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_subset__refl,axiom,
% 91.84/91.98 ! [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)) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_image__image,axiom,
% 91.84/91.98 ! [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) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_equals0D,axiom,
% 91.84/91.98 ! [V_a_2,T_b,V_A_2] :
% 91.84/91.98 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.84/91.98 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_empty__iff,axiom,
% 91.84/91.98 ! [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)))) ).
% 91.84/91.98
% 91.84/91.98 fof(fact_ex__in__conv,axiom,
% 91.84/91.98 ! [V_A_2,T_b] :
% 91.92/91.98 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/91.98 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_all__not__in__conv,axiom,
% 91.92/91.98 ! [V_A_2,T_b] :
% 91.92/91.98 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/91.98 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__absorb,axiom,
% 91.92/91.98 ! [V_A_2,V_a_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/91.98 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insertI2,axiom,
% 91.92/91.98 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__ident,axiom,
% 91.92/91.98 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/91.98 => ( 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)
% 91.92/91.98 <=> V_A_2 = V_B_2 ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__iff,axiom,
% 91.92/91.98 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 91.92/91.98 <=> ( V_a_2 = V_b_2
% 91.92/91.98 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insertI1,axiom,
% 91.92/91.98 ! [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))) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_set__mp,axiom,
% 91.92/91.98 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_set__rev__mp,axiom,
% 91.92/91.98 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_in__mono,axiom,
% 91.92/91.98 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_rev__image__eqI,axiom,
% 91.92/91.98 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_imageI,axiom,
% 91.92/91.98 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__iff,axiom,
% 91.92/91.98 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 91.92/91.98 <=> ? [B_x] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/91.98 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_finite_Oequations_I1_J,axiom,
% 91.92/91.98 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_singleton__inject,axiom,
% 91.92/91.98 ! [V_b_2,V_a_2,T_b] :
% 91.92/91.98 ( 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)))
% 91.92/91.98 => V_a_2 = V_b_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_doubleton__eq__iff,axiom,
% 91.92/91.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/91.98 ( 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))))
% 91.92/91.98 <=> ( ( V_a_2 = V_c_2
% 91.92/91.98 & V_b_2 = V_d_2 )
% 91.92/91.98 | ( V_a_2 = V_d_2
% 91.92/91.98 & V_b_2 = V_c_2 ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__not__empty,axiom,
% 91.92/91.98 ! [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)) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_empty__not__insert,axiom,
% 91.92/91.98 ! [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) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_finite__insert,axiom,
% 91.92/91.98 ! [V_A_2,V_a_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 91.92/91.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__empty,axiom,
% 91.92/91.98 ! [V_A_2,T_b] :
% 91.92/91.98 ( 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))))
% 91.92/91.98 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__is__empty,axiom,
% 91.92/91.98 ! [V_A_2,V_f_2,T_b,T_c] :
% 91.92/91.98 ( 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))
% 91.92/91.98 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__empty,axiom,
% 91.92/91.98 ! [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)) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_empty__is__image,axiom,
% 91.92/91.98 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/91.98 ( 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)
% 91.92/91.98 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_finite__subset,axiom,
% 91.92/91.98 ! [V_B_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_rev__finite__subset,axiom,
% 91.92/91.98 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__mono,axiom,
% 91.92/91.98 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__insertI2,axiom,
% 91.92/91.98 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__insertI,axiom,
% 91.92/91.98 ! [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))) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__insert,axiom,
% 91.92/91.98 ! [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)) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__mono,axiom,
% 91.92/91.98 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__image__iff,axiom,
% 91.92/91.98 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 91.92/91.98 ( 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)))
% 91.92/91.98 <=> ? [B_AA] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 91.92/91.98 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_singletonE,axiom,
% 91.92/91.98 ! [V_a_2,V_b_2,T_b] :
% 91.92/91.98 ( 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)))))
% 91.92/91.98 => V_b_2 = V_a_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_singleton__iff,axiom,
% 91.92/91.98 ! [V_a_2,V_b_2,T_b] :
% 91.92/91.98 ( 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)))))
% 91.92/91.98 <=> V_b_2 = V_a_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__insert,axiom,
% 91.92/91.98 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => ( 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)))
% 91.92/91.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__subset,axiom,
% 91.92/91.98 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( 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))
% 91.92/91.98 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/91.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_insert__image,axiom,
% 91.92/91.98 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => 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) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_subset__singletonD,axiom,
% 91.92/91.98 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.98 ( 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)))))
% 91.92/91.98 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.98 | 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))) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_finite__surj,axiom,
% 91.92/91.98 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.98 => ( 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)))
% 91.92/91.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__constant__conv,axiom,
% 91.92/91.98 ! [V_c_2,T_c,T_b,V_A_2] :
% 91.92/91.98 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.98 => 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)) )
% 91.92/91.98 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.98 => 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))) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_card__insert__le,axiom,
% 91.92/91.98 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.98 => 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)))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_card__seteq,axiom,
% 91.92/91.98 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => ( 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)))
% 91.92/91.98 => V_A_2 = V_B_2 ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_card__mono,axiom,
% 91.92/91.98 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.98 => 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))) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_card__image__le,axiom,
% 91.92/91.98 ! [V_f_2,T_c,V_A_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_image__constant,axiom,
% 91.92/91.98 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.98 => 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))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_assms_I2_J,axiom,
% 91.92/91.98 ! [V_G_2,V_pn_2] :
% 91.92/91.98 ( 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))))
% 91.92/91.98 => 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)))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_Suc__diff__le,axiom,
% 91.92/91.98 ! [V_m,V_n] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/91.98 => 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)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_assms_I4_J,axiom,
% 91.92/91.98 ! [V_pn_2] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 91.92/91.98 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_the__elem__eq,axiom,
% 91.92/91.98 ! [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 ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__refl,axiom,
% 91.92/91.98 ! [V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Opreorder(T_a)
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_bot__fun__def,axiom,
% 91.92/91.98 ! [V_x_2,T_c,T_b] :
% 91.92/91.98 ( class_Orderings_Obot(T_b)
% 91.92/91.98 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_pred__subset__eq,axiom,
% 91.92/91.98 ! [V_S_2,V_R_2,T_b] :
% 91.92/91.98 ( 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)))
% 91.92/91.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_bot__empty__eq,axiom,
% 91.92/91.98 ! [V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 91.92/91.98 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_le__diff__iff,axiom,
% 91.92/91.98 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 91.92/91.98 => ( 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)))
% 91.92/91.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_Nat_Odiff__diff__eq,axiom,
% 91.92/91.98 ! [V_n,V_m,V_k] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 91.92/91.98 => 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) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_eq__diff__iff,axiom,
% 91.92/91.98 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 91.92/91.98 => ( 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)
% 91.92/91.98 <=> V_m_2 = V_na_2 ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_linorder__linear,axiom,
% 91.92/91.98 ! [V_y,V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Olinorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__eq__iff,axiom,
% 91.92/91.98 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.98 ( class_Orderings_Oorder(T_b)
% 91.92/91.98 => ( V_x_2 = V_y_2
% 91.92/91.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__eq__refl,axiom,
% 91.92/91.98 ! [V_y,V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Opreorder(T_a)
% 91.92/91.98 => ( V_x = V_y
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__antisym__conv,axiom,
% 91.92/91.98 ! [V_x_2,V_y_2,T_b] :
% 91.92/91.98 ( class_Orderings_Oorder(T_b)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_ord__eq__le__trans,axiom,
% 91.92/91.98 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.98 ( class_Orderings_Oord(T_a)
% 91.92/91.98 => ( V_a = V_b
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_xt1_I3_J,axiom,
% 91.92/91.98 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.98 ( class_Orderings_Oorder(T_a)
% 91.92/91.98 => ( V_a = V_b
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_ord__le__eq__trans,axiom,
% 91.92/91.98 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.98 ( class_Orderings_Oord(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/91.98 => ( V_b = V_c
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_xt1_I4_J,axiom,
% 91.92/91.98 ! [V_c,V_a,V_b,T_a] :
% 91.92/91.98 ( class_Orderings_Oorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/91.98 => ( V_b = V_c
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__antisym,axiom,
% 91.92/91.98 ! [V_y,V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Oorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.98 => V_x = V_y ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_order__trans,axiom,
% 91.92/91.98 ! [V_z,V_y,V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Opreorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_xt1_I5_J,axiom,
% 91.92/91.98 ! [V_x,V_y,T_a] :
% 91.92/91.98 ( class_Orderings_Oorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.98 => V_x = V_y ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_xt1_I6_J,axiom,
% 91.92/91.98 ! [V_z,V_x,V_y,T_a] :
% 91.92/91.98 ( class_Orderings_Oorder(T_a)
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_linorder__le__cases,axiom,
% 91.92/91.98 ! [V_y,V_x,T_a] :
% 91.92/91.98 ( class_Orderings_Olinorder(T_a)
% 91.92/91.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_eq__mem,axiom,
% 91.92/91.98 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 91.92/91.98 <=> V_x_2 = V_y_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_n__not__Suc__n,axiom,
% 91.92/91.98 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_Suc__n__not__n,axiom,
% 91.92/91.98 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 91.92/91.98
% 91.92/91.98 fof(fact_nat_Oinject,axiom,
% 91.92/91.98 ! [V_nat_H_2,V_nat_2] :
% 91.92/91.98 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 91.92/91.98 <=> V_nat_2 = V_nat_H_2 ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_Suc__inject,axiom,
% 91.92/91.98 ! [V_y,V_x] :
% 91.92/91.98 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 91.92/91.98 => V_x = V_y ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_rev__predicate1D,axiom,
% 91.92/91.98 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 91.92/91.98 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/91.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 91.92/91.98 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_predicate1D,axiom,
% 91.92/91.98 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 91.92/91.98 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/91.98 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_le__refl,axiom,
% 91.92/91.98 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 91.92/91.98
% 91.92/91.98 fof(fact_nat__le__linear,axiom,
% 91.92/91.98 ! [V_n,V_m] :
% 91.92/91.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_eq__imp__le,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( V_m = V_n
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__trans,axiom,
% 91.92/91.99 ! [V_k,V_j,V_i] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__antisym,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/91.99 => V_m = V_n ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__commute,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_pred__equals__eq,axiom,
% 91.92/91.99 ! [V_S_2,V_R_2,T_b] :
% 91.92/91.99 ( 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)
% 91.92/91.99 <=> V_R_2 = V_S_2 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_bot__least,axiom,
% 91.92/91.99 ! [V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Obot(T_a)
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__fun__def,axiom,
% 91.92/91.99 ! [V_g_2,V_f_2,T_b,T_c] :
% 91.92/91.99 ( class_Orderings_Oord(T_c)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/91.99 <=> ! [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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__funD,axiom,
% 91.92/91.99 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 91.92/91.99 ( class_Orderings_Oord(T_c)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__funE,axiom,
% 91.92/91.99 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 91.92/91.99 ( class_Orderings_Oord(T_c)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_bot__apply,axiom,
% 91.92/91.99 ! [V_x_2,T_c,T_b] :
% 91.92/91.99 ( class_Orderings_Obot(T_b)
% 91.92/91.99 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__n__not__le__n,axiom,
% 91.92/91.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_not__less__eq__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__Suc__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__le__mono,axiom,
% 91.92/91.99 ! [V_m_2,V_na_2] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__SucI,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__SucE,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__leD,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__Suc__Suc,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__diff__diff,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__le__self,axiom,
% 91.92/91.99 ! [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)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__le__mono2,axiom,
% 91.92/91.99 ! [V_l,V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => 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))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__le__mono,axiom,
% 91.92/91.99 ! [V_l,V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => 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))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__diff__cancel,axiom,
% 91.92/91.99 ! [V_n,V_i] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 91.92/91.99 => 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 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one_Oinsert,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.99 => 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)) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__eq__diff__less__eq,axiom,
% 91.92/91.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/91.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/91.99 => ( 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)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/91.99 => 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) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_finite__subset__induct,axiom,
% 91.92/91.99 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/91.99 => ( ! [B_a,B_F] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 91.92/91.99 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 91.92/91.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 91.92/91.99 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.99 => 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)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Suc__Diff1,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_the__elem__def,axiom,
% 91.92/91.99 ! [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))))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple_Oinsert,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 91.92/91.99 => 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)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 91.92/91.99 <=> 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)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/91.99 => 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) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => 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)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_DiffE,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_DiffI,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_finite__Diff,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => 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))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__idemp,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one__idem_Oidem,axiom,
% 91.92/91.99 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/91.99 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 91.92/91.99 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_DiffD2,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_DiffD1,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__iff,axiom,
% 91.92/91.99 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/91.99 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__cancel,axiom,
% 91.92/91.99 ! [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)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__empty,axiom,
% 91.92/91.99 ! [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 ).
% 91.92/91.99
% 91.92/91.99 fof(fact_empty__Diff,axiom,
% 91.92/91.99 ! [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)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_finite__Diff2,axiom,
% 91.92/91.99 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.99 => ( 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)))
% 91.92/91.99 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_double__diff,axiom,
% 91.92/91.99 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/91.99 => 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 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__mono,axiom,
% 91.92/91.99 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__subset,axiom,
% 91.92/91.99 ! [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)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => 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)))))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one_Oinsert__remove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( ( hAPP(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))
% 91.92/91.99 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 91.92/91.99 & ( hAPP(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))
% 91.92/91.99 => 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)))))) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_insert__Diff1,axiom,
% 91.92/91.99 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/91.99 => 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) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_insert__Diff__if,axiom,
% 91.92/91.99 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 91.92/91.99 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/91.99 => 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) )
% 91.92/91.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/91.99 => 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)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_insert__Diff__single,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__insert2,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__insert,axiom,
% 91.92/91.99 ! [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)))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_finite__Diff__insert,axiom,
% 91.92/91.99 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 91.92/91.99 ( 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))))
% 91.92/91.99 <=> 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))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_image__diff__subset,axiom,
% 91.92/91.99 ! [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)))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple_Oempty,axiom,
% 91.92/91.99 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple_Oremove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 91.92/91.99 => 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)))))) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one_Oremove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => ( ( hAPP(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))
% 91.92/91.99 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 91.92/91.99 & ( hAPP(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))
% 91.92/91.99 => 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)))))) ) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_nat__case__Suc,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_insert__Diff,axiom,
% 91.92/91.99 ! [V_A_2,V_a_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/91.99 => 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 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Diff__insert__absorb,axiom,
% 91.92/91.99 ! [V_A_2,V_x_2,T_b] :
% 91.92/91.99 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__eq__diff__eq,axiom,
% 91.92/91.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/91.99 ( class_Groups_Oab__group__add(T_b)
% 91.92/91.99 => ( 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)
% 91.92/91.99 => ( V_a_2 = V_b_2
% 91.92/91.99 <=> V_c_2 = V_d_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one_Osingleton,axiom,
% 91.92/91.99 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/91.99 => 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 ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__single__insert,axiom,
% 91.92/91.99 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( 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))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_subset__insert__iff,axiom,
% 91.92/91.99 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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)) )
% 91.92/91.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff__subset,axiom,
% 91.92/91.99 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/91.99 => 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)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__card__le__card__Diff,axiom,
% 91.92/91.99 ! [V_A_2,V_B_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/91.99 => 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)))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one__idem_Oin__idem,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 91.92/91.99 => 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) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__insert,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => 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)))))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff1__le,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => 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))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_fun__diff__def,axiom,
% 91.92/91.99 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/91.99 ( class_Groups_Ominus(T_b)
% 91.92/91.99 => 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)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_flat__lub__def,axiom,
% 91.92/91.99 ! [V_b_2,V_A_2,T_b] :
% 91.92/91.99 ( ( 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)))))
% 91.92/91.99 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 91.92/91.99 & ( ~ 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)))))
% 91.92/91.99 => 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)))))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff__singleton,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff__singleton__if,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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)) )
% 91.92/91.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_minus__apply,axiom,
% 91.92/91.99 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/91.99 ( class_Groups_Ominus(T_b)
% 91.92/91.99 => 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)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one_Oclosed,axiom,
% 91.92/91.99 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.99 => ( ! [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))))))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff__insert,axiom,
% 91.92/91.99 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 91.92/91.99 => 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)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff2__less,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/91.99 => 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))) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card__Diff1__less,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_finite__empty__induct,axiom,
% 91.92/91.99 ! [V_Pa_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 91.92/91.99 => ( ! [B_a,B_A] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 91.92/91.99 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 91.92/91.99 => 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)))))) ) ) )
% 91.92/91.99 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 91.92/91.99 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 91.92/91.99 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/91.99 => ( ! [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))
% 91.92/91.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/91.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/91.99 => 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)) ) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_lessI,axiom,
% 91.92/91.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__mono,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_one__reorient,axiom,
% 91.92/91.99 ! [V_x_2,T_b] :
% 91.92/91.99 ( class_Groups_Oone(T_b)
% 91.92/91.99 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 91.92/91.99 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__not__refl,axiom,
% 91.92/91.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__irrefl,axiom,
% 91.92/91.99 ! [V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_nat__neq__iff,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( V_m_2 != V_na_2
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__neq__iff,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( V_x_2 != V_y_2
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_not__less__iff__gr__or__eq,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 91.92/91.99 | V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__less__linear,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 | V_x = V_y
% 91.92/91.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__antisym__conv3,axiom,
% 91.92/91.99 ! [V_x_2,V_y_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__neqE,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( V_x != V_y
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__neqE__nat,axiom,
% 91.92/91.99 ! [V_y,V_x] :
% 91.92/91.99 ( V_x != V_y
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__irrefl__nat,axiom,
% 91.92/91.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__not__refl2,axiom,
% 91.92/91.99 ! [V_m,V_n] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 91.92/91.99 => V_m != V_n ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__not__refl3,axiom,
% 91.92/91.99 ! [V_t,V_s] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 91.92/91.99 => V_s != V_t ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__imp__neq,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => V_x != V_y ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__not__sym,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__imp__not__less,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__imp__not__eq,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => V_x != V_y ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__imp__not__eq2,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => V_y != V_x ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__asym_H,axiom,
% 91.92/91.99 ! [V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I9_J,axiom,
% 91.92/91.99 ! [V_a,V_b,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_ord__eq__less__trans,axiom,
% 91.92/91.99 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oord(T_a)
% 91.92/91.99 => ( V_a = V_b
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I1_J,axiom,
% 91.92/91.99 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( V_a = V_b
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_ord__less__eq__trans,axiom,
% 91.92/91.99 ! [V_c,V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oord(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/91.99 => ( V_b = V_c
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I2_J,axiom,
% 91.92/91.99 ! [V_c,V_a,V_b,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/91.99 => ( V_b = V_c
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__trans,axiom,
% 91.92/91.99 ! [V_z,V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I10_J,axiom,
% 91.92/91.99 ! [V_z,V_x,V_y,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__asym,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__cases,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ( V_x != V_y
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_nat__less__cases,axiom,
% 91.92/91.99 ! [V_Pa_2,V_na_2,V_m_2] :
% 91.92/91.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 91.92/91.99 => ( ( V_m_2 = V_na_2
% 91.92/91.99 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 91.92/91.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/91.99 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 91.92/91.99 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__not__less,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__not__le,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__le__less__linear,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__le,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Oorder(T_b)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 & V_x_2 != V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__le__not__le,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_b)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__le__less,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Oorder(T_b)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 | V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_leI,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_not__leE,axiom,
% 91.92/91.99 ! [V_x,V_y,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__antisym__conv1,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__neq__le__trans,axiom,
% 91.92/91.99 ! [V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( V_a != V_b
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I12_J,axiom,
% 91.92/91.99 ! [V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( V_a != V_b
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_leD,axiom,
% 91.92/91.99 ! [V_x,V_y,T_a] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__imp__le,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_linorder__antisym__conv2,axiom,
% 91.92/91.99 ! [V_y_2,V_x_2,T_b] :
% 91.92/91.99 ( class_Orderings_Olinorder(T_b)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 91.92/91.99 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__le__imp__less__or__eq,axiom,
% 91.92/91.99 ! [V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 | V_x = V_y ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__le__neq__trans,axiom,
% 91.92/91.99 ! [V_b,V_a,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/91.99 => ( V_a != V_b
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I11_J,axiom,
% 91.92/91.99 ! [V_a,V_b,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/91.99 => ( V_a != V_b
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__less__le__trans,axiom,
% 91.92/91.99 ! [V_z,V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I7_J,axiom,
% 91.92/91.99 ! [V_z,V_x,V_y,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_order__le__less__trans,axiom,
% 91.92/91.99 ! [V_z,V_y,V_x,T_a] :
% 91.92/91.99 ( class_Orderings_Opreorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_xt1_I8_J,axiom,
% 91.92/91.99 ! [V_z,V_x,V_y,T_a] :
% 91.92/91.99 ( class_Orderings_Oorder(T_a)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__eq__diff__less,axiom,
% 91.92/91.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/91.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/91.99 => ( 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)
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_not__less__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__Suc__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 | V_m_2 = V_na_2 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__less__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( 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)))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_not__less__less__Suc__eq,axiom,
% 91.92/91.99 ! [V_m_2,V_na_2] :
% 91.92/91.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 91.92/91.99 <=> V_na_2 = V_m_2 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__antisym,axiom,
% 91.92/91.99 ! [V_m,V_n] :
% 91.92/91.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 91.92/91.99 => V_m = V_n ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__SucI,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__lessI,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__trans__Suc,axiom,
% 91.92/91.99 ! [V_k,V_j,V_i] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__SucE,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => V_m = V_n ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__lessD,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__less__SucD,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_nat__less__le,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 & V_m_2 != V_na_2 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__eq__less__or__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 | V_m_2 = V_na_2 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__imp__le__nat,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__neq__implies__less,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => ( V_m != V_n
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__or__eq__imp__le,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 | V_m = V_n )
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__imp__diff__less,axiom,
% 91.92/91.99 ! [V_n,V_k,V_j] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 91.92/91.99 => 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)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__less__mono2,axiom,
% 91.92/91.99 ! [V_l,V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__eq__Suc__le,axiom,
% 91.92/91.99 ! [V_m_2,V_na_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__Suc__eq__le,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__le__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__imp__less__Suc,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__leI,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_le__less__Suc__eq,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 91.92/91.99 <=> V_na_2 = V_m_2 ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_Suc__le__lessD,axiom,
% 91.92/91.99 ! [V_n,V_m] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__less__Suc,axiom,
% 91.92/91.99 ! [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))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 91.92/91.99 ! [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) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__Suc__1,axiom,
% 91.92/91.99 ! [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 ).
% 91.92/91.99
% 91.92/91.99 fof(fact_diff__less__mono,axiom,
% 91.92/91.99 ! [V_c,V_b,V_a] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 91.92/91.99 => 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))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__diff__iff,axiom,
% 91.92/91.99 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 91.92/91.99 => ( 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)))
% 91.92/91.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_less__eq__Suc__le__raw,axiom,
% 91.92/91.99 ! [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)) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card_Oremove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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)))))) ) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_termination__basic__simps_I5_J,axiom,
% 91.92/91.99 ! [V_y,V_x] :
% 91.92/91.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 91.92/91.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card_Oinsert__remove,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => 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)))))) ) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_fun__left__comm__idem__remove,axiom,
% 91.92/91.99 ! [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))))) ).
% 91.92/91.99
% 91.92/91.99 fof(fact_the__eq__trivial,axiom,
% 91.92/91.99 ! [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 ).
% 91.92/91.99
% 91.92/91.99 fof(fact_the__sym__eq__trivial,axiom,
% 91.92/91.99 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 91.92/91.99
% 91.92/91.99 fof(fact_card_Oinsert,axiom,
% 91.92/91.99 ! [V_x_2,V_A_2,T_b] :
% 91.92/91.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/91.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/91.99 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__insert__iff,axiom,
% 91.92/92.00 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 91.92/92.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 91.92/92.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => 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)) )
% 91.92/92.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__induct,axiom,
% 91.92/92.00 ! [V_Pa_2,V_F_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.00 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.00 => ( ! [B_x,B_F] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 91.92/92.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 91.92/92.00 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 91.92/92.00 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 91.92/92.00 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 91.92/92.00 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => ( 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)
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Diff1__fold__graph,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__trans,axiom,
% 91.92/92.00 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 91.92/92.00 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__right__cancel,axiom,
% 91.92/92.00 ! [V_na_2,V_k_2,V_m_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> V_m_2 = V_na_2 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__left__cancel,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> V_m_2 = V_na_2 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__assoc,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__left__commute,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__commute,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__right__imp__eq,axiom,
% 91.92/92.00 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.00 ( class_Groups_Ocancel__semigroup__add(T_a)
% 91.92/92.00 => ( 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)
% 91.92/92.00 => V_b = V_c ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__imp__eq,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( 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)
% 91.92/92.00 => V_b = V_c ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__left__imp__eq,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocancel__semigroup__add(T_a)
% 91.92/92.00 => ( 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)
% 91.92/92.00 => V_b = V_c ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__right__cancel,axiom,
% 91.92/92.00 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 91.92/92.00 ( class_Groups_Ocancel__semigroup__add(T_b)
% 91.92/92.00 => ( 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)
% 91.92/92.00 <=> V_b_2 = V_c_2 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__left__cancel,axiom,
% 91.92/92.00 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Ocancel__semigroup__add(T_b)
% 91.92/92.00 => ( 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)
% 91.92/92.00 <=> V_b_2 = V_c_2 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oab__semigroup__add(T_a)
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_termination__basic__simps_I1_J,axiom,
% 91.92/92.00 ! [V_z,V_y,V_x] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_termination__basic__simps_I2_J,axiom,
% 91.92/92.00 ! [V_y,V_z,V_x] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_termination__basic__simps_I4_J,axiom,
% 91.92/92.00 ! [V_y,V_z,V_x] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_termination__basic__simps_I3_J,axiom,
% 91.92/92.00 ! [V_z,V_y,V_x] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 91.92/92.00 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__imp__le__left,axiom,
% 91.92/92.00 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__imp__le__right,axiom,
% 91.92/92.00 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__right__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__cancel__left,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__cancel__right,axiom,
% 91.92/92.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__imp__less__left,axiom,
% 91.92/92.00 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__imp__less__right,axiom,
% 91.92/92.00 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__strict__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__strict__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__strict__right__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__cancel__left,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__cancel__right,axiom,
% 91.92/92.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__fun__def,axiom,
% 91.92/92.00 ! [V_g_2,V_f_2,T_b,T_c] :
% 91.92/92.00 ( class_Orderings_Oord(T_c)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/92.00 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__diff__cancel,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__cancel,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubsetD,axiom,
% 91.92/92.00 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__psubset__empty,axiom,
% 91.92/92.00 ! [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)))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__Suc__shift,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__Suc,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__Suc__right,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__lessD1,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__eq__less,axiom,
% 91.92/92.00 ! [V_n,V_m,V_l,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 91.92/92.00 => ( 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)
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__mono,axiom,
% 91.92/92.00 ! [V_l,V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__mono1,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_trans__less__add2,axiom,
% 91.92/92.00 ! [V_m,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_trans__less__add1,axiom,
% 91.92/92.00 ! [V_m,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__left__cancel__less,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__add__less2,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__add__less1,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_subset__psubset__trans,axiom,
% 91.92/92.00 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__subset__trans,axiom,
% 91.92/92.00 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__imp__subset,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_subset__iff__psubset__eq,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 | V_A_2 = V_B_2 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__eq,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 & V_A_2 != V_B_2 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__leE,axiom,
% 91.92/92.00 ! [V_n,V_k,V_m] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/92.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__leD1,axiom,
% 91.92/92.00 ! [V_n,V_k,V_m] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__leD2,axiom,
% 91.92/92.00 ! [V_n,V_k,V_m] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__mono,axiom,
% 91.92/92.00 ! [V_l,V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__mono1,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_trans__le__add2,axiom,
% 91.92/92.00 ! [V_m,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_trans__le__add1,axiom,
% 91.92/92.00 ! [V_m,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__add__left__cancel__le,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__iff__add,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.00 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add1,axiom,
% 91.92/92.00 ! [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))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add2,axiom,
% 91.92/92.00 ! [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))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__cancel2,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__cancel,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__diff__left,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__inverse,axiom,
% 91.92/92.00 ! [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 ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__inverse2,axiom,
% 91.92/92.00 ! [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 ).
% 91.92/92.00
% 91.92/92.00 fof(fact_empty__fold__graphE,axiom,
% 91.92/92.00 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => V_x_2 = V_z_2 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_OemptyI,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph__imp__finite,axiom,
% 91.92/92.00 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 91.92/92.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fun__left__comm__idem__insert,axiom,
% 91.92/92.00 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__less__le__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__le__less__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__Suc1,axiom,
% 91.92/92.00 ! [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)))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__Suc2,axiom,
% 91.92/92.00 ! [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)))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__iff__Suc__add,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.00 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__diff__conv,axiom,
% 91.92/92.00 ! [V_k_2,V_j_2,V_i_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__diff__inverse,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__assoc2,axiom,
% 91.92/92.00 ! [V_i,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__diff__assoc2,axiom,
% 91.92/92.00 ! [V_i,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__assoc,axiom,
% 91.92/92.00 ! [V_i,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__imp__diff__is__add,axiom,
% 91.92/92.00 ! [V_k_2,V_j_2,V_i_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 91.92/92.00 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add__diff__inverse2,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__diff__conv2,axiom,
% 91.92/92.00 ! [V_i_2,V_j_2,V_k_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__diff__assoc,axiom,
% 91.92/92.00 ! [V_i,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add__diff__inverse,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add__diff,axiom,
% 91.92/92.00 ! [V_m,V_n,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__diff__conv,axiom,
% 91.92/92.00 ! [V_i_2,V_k_2,V_j_2] :
% 91.92/92.00 ( 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))
% 91.92/92.00 <=> 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__diff__right,axiom,
% 91.92/92.00 ! [V_i,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__eq__plus1__left,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__eq__plus1,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_OinsertI,axiom,
% 91.92/92.00 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/92.00 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_psubset__card__mono,axiom,
% 91.92/92.00 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__Suc__diff__eq2,axiom,
% 91.92/92.00 ! [V_m,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__Suc__diff__eq1,axiom,
% 91.92/92.00 ! [V_m,V_j,V_k] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__psubset,axiom,
% 91.92/92.00 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__one,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => 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)))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold1Set_Ointros,axiom,
% 91.92/92.00 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 91.92/92.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 91.92/92.00 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 91.92/92.00 ( 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))
% 91.92/92.00 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.00 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 91.92/92.00 | ? [B_x,B_y] :
% 91.92/92.00 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 91.92/92.00 & 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) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph__permute__diff,axiom,
% 91.92/92.00 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 91.92/92.00 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.00 => ( 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))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 91.92/92.00 => 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)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__Plus,axiom,
% 91.92/92.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_image__ident,axiom,
% 91.92/92.00 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__inj__on__le,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => ( 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))
% 91.92/92.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__eq__if,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 91.92/92.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__diff__1,axiom,
% 91.92/92.00 ! [V_n] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.00 => 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 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__pred_H,axiom,
% 91.92/92.00 ! [V_n] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__zeroE,axiom,
% 91.92/92.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le0,axiom,
% 91.92/92.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__empty,axiom,
% 91.92/92.00 ! [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))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__Suc,axiom,
% 91.92/92.00 ! [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))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__left__mono__neg,axiom,
% 91.92/92.00 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__right__mono__neg,axiom,
% 91.92/92.00 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_comm__mult__strict__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__right__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__neg__neg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__neg__pos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel__left__neg,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__mult__pos2,axiom,
% 91.92/92.00 ! [V_a,V_b,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__mult__pos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__pos__neg2,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__pos__neg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__pos__pos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel__left__pos,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel__left__disj,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel__right__disj,axiom,
% 91.92/92.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__square__less__zero,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring(T_a)
% 91.92/92.00 => ~ 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__le__square,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring(T_a)
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__le__mult__iff,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__0__iff,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__nonneg__nonneg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__nonneg__nonpos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__nonneg__nonpos2,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__nonpos__nonneg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__nonpos__nonpos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__right__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_comm__mult__left__mono,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__comm__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__right__mono__neg,axiom,
% 91.92/92.00 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__mono__neg,axiom,
% 91.92/92.00 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__mono_H,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__semiring(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_split__mult__pos__le,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_a)
% 91.92/92.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_split__mult__neg__le,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 91.92/92.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 91.92/92.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__reorient,axiom,
% 91.92/92.00 ! [V_x_2,T_b] :
% 91.92/92.00 ( class_Groups_Ozero(T_b)
% 91.92/92.00 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 91.92/92.00 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oab__semigroup__mult(T_a)
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_divisors__zero,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Ono__zero__divisors(T_a)
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.00 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.00 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_no__zero__divisors,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Ono__zero__divisors(T_a)
% 91.92/92.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__eq__0__iff,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oring__no__zero__divisors(T_b)
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__def,axiom,
% 91.92/92.00 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 <=> ! [B_x] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.00 => ! [B_xa] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 91.92/92.00 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 91.92/92.00 => B_x = B_xa ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__zero__right,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Rings_Omult__zero(T_a)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__zero__left,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Rings_Omult__zero(T_a)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__id2,axiom,
% 91.92/92.00 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__0,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__0__right,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__is__0,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> ( V_m_2 = V_na_2
% 91.92/92.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__cancel2,axiom,
% 91.92/92.00 ! [V_na_2,V_k_2,V_m_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> ( V_m_2 = V_na_2
% 91.92/92.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_bot__nat__def,axiom,
% 91.92/92.00 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_times_Oidem,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__idem,axiom,
% 91.92/92.00 ! [V_x,T_a] :
% 91.92/92.00 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__idem,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__contraD,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => ( V_x_2 != V_y_2
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/92.00 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__iff,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/92.00 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 91.92/92.00 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__onD,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/92.00 => V_x_2 = V_y_2 ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_sum__squares__eq__zero__iff,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)
% 91.92/92.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__eq__1__iff,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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))
% 91.92/92.00 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.00 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__0__less__mult__iff,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__cancel2,axiom,
% 91.92/92.00 ! [V_na_2,V_k_2,V_m_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__mono1,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__mono2,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_subset__inj__on,axiom,
% 91.92/92.00 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__diff,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__eq__self__implies__10,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 91.92/92.00 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 91.92/92.00 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_combine__common__factor,axiom,
% 91.92/92.00 ! [V_c,V_b,V_e,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Osemiring(T_a)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_comm__semiring__class_Odistrib,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Ocomm__semiring(T_a)
% 91.92/92.00 => 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)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__neq__one,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Ozero__neq__one(T_a)
% 91.92/92.00 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_one__neq__zero,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Ozero__neq__one(T_a)
% 91.92/92.00 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__cancel__left__pos,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__cancel__left__neg,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__mono,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__strict__mono_H,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__le__imp__less,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__less__imp__less,axiom,
% 91.92/92.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => 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))) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__right__less__imp__less,axiom,
% 91.92/92.00 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__imp__less__right,axiom,
% 91.92/92.00 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__less__imp__less,axiom,
% 91.92/92.00 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__less__imp__less__left,axiom,
% 91.92/92.00 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__right__le__imp__le,axiom,
% 91.92/92.00 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__le__imp__le,axiom,
% 91.92/92.00 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__right__le__one__le,axiom,
% 91.92/92.00 ! [V_y,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.00 => 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)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__left__le__one__le,axiom,
% 91.92/92.00 ! [V_y,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.00 => 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)) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_sum__squares__ge__zero,axiom,
% 91.92/92.00 ! [V_y,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring(T_a)
% 91.92/92.00 => 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)))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_sum__squares__le__zero__iff,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_sum__squares__gt__zero__iff,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 91.92/92.00 => ( 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))))
% 91.92/92.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__sum__squares__lt__zero,axiom,
% 91.92/92.00 ! [V_y,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__ring(T_a)
% 91.92/92.00 => ~ 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__Suc,axiom,
% 91.92/92.00 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_n__less__m__mult__n,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => ( 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))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_n__less__n__mult__m,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => ( 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))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_one__less__mult,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( 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))
% 91.92/92.00 => ( 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))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_one__le__mult__iff,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( 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))
% 91.92/92.00 & 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__cancel2,axiom,
% 91.92/92.00 ! [V_na_2,V_k_2,V_m_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_convex__bound__le,axiom,
% 91.92/92.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__1(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 91.92/92.00 => 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)) ) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__1__left,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__1,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocomm__monoid__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__1__right,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult_Ocomm__neutral,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocomm__monoid__mult(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__mult__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> V_m_2 = V_na_2 ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__mult__distrib2,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__mult__distrib,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__square,axiom,
% 91.92/92.00 ! [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))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__cube,axiom,
% 91.92/92.00 ! [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)))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__mono1,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__mono2,axiom,
% 91.92/92.00 ! [V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__le__mono,axiom,
% 91.92/92.00 ! [V_l,V_k,V_j,V_i] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__0__left,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Omonoid__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__0,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_double__zero__sym,axiom,
% 91.92/92.00 ! [V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 91.92/92.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__0__right,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Omonoid__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add_Ocomm__neutral,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__mult__distrib2,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__mult__distrib,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__0__right,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__self,axiom,
% 91.92/92.00 ! [V_a,T_a] :
% 91.92/92.00 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_eq__iff__diff__eq__0,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.00 => ( V_a_2 = V_b_2
% 91.92/92.00 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_right__minus__eq,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 <=> V_a_2 = V_b_2 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__mult__1,axiom,
% 91.92/92.00 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__1__eq__mult__iff,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 91.92/92.00 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 91.92/92.00 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__mult__1__right,axiom,
% 91.92/92.00 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__mult__eq__1__iff,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 91.92/92.00 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 91.92/92.00 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Zero__not__Suc,axiom,
% 91.92/92.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat_Osimps_I2_J,axiom,
% 91.92/92.00 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__not__Zero,axiom,
% 91.92/92.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat_Osimps_I3_J,axiom,
% 91.92/92.00 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Zero__neq__Suc,axiom,
% 91.92/92.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__neq__Zero,axiom,
% 91.92/92.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__less0,axiom,
% 91.92/92.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_neq0__conv,axiom,
% 91.92/92.00 ! [V_na_2] :
% 91.92/92.00 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__nat__zero__code,axiom,
% 91.92/92.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_gr__implies__not0,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.00 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_gr0I,axiom,
% 91.92/92.00 ! [V_n] :
% 91.92/92.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_plus__nat_Oadd__0,axiom,
% 91.92/92.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Nat_Oadd__0__right,axiom,
% 91.92/92.00 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__is__0,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__eq__self__zero,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 91.92/92.00 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 91.92/92.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__0__eq,axiom,
% 91.92/92.00 ! [V_na_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 91.92/92.00 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__0__eq__0,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_minus__nat_Odiff__0,axiom,
% 91.92/92.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__self__eq__0,axiom,
% 91.92/92.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diffs0__imp__equal,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => V_m = V_n ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__1__mult,axiom,
% 91.92/92.00 ! [V_n,V_m,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_eq__add__iff1,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oring(T_b)
% 91.92/92.00 => ( 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)
% 91.92/92.00 <=> 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 ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_eq__add__iff2,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oring(T_b)
% 91.92/92.00 => ( 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)
% 91.92/92.00 <=> 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) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__strict__subset,axiom,
% 91.92/92.00 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__add__nat,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_pos__add__strict,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__one__le__zero,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => ~ 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__le__one,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => 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))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__one,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_not__one__less__zero,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fun__left__comm__idem,axiom,
% 91.92/92.00 ! [T_b] :
% 91.92/92.00 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.00 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_convex__bound__lt,axiom,
% 91.92/92.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 91.92/92.00 => 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)) ) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_nat__case__0,axiom,
% 91.92/92.00 ! [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 ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__eq__if,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__imageD,axiom,
% 91.92/92.00 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 91.92/92.00 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 91.92/92.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__image,axiom,
% 91.92/92.00 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 => 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) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__Plus__iff,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__Plus,axiom,
% 91.92/92.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.00 => 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__PlusD_I1_J,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__PlusD_I2_J,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__image__set__diff,axiom,
% 91.92/92.00 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.00 => 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)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__Plus__conv__if,axiom,
% 91.92/92.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.00 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 91.92/92.00 => 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)) )
% 91.92/92.00 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 91.92/92.00 => 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) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add__iff2,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__add__iff1,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__iff2,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__add__iff1,axiom,
% 91.92/92.00 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Rings_Oordered__ring(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_empty__fold1SetE,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold1Set__nonempty,axiom,
% 91.92/92.00 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 91.92/92.00 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__mult__less__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__two,axiom,
% 91.92/92.00 ! [T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.00 => 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)))) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__Suc,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_mult__Suc__right,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_Suc__mult__le__cancel1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__nonpos__nonpos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__increasing2,axiom,
% 91.92/92.00 ! [V_a,V_b,V_c,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__increasing,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__nonneg__eq__0__iff,axiom,
% 91.92/92.00 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 91.92/92.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__nonneg__nonneg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 91.92/92.00 ! [V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 91.92/92.00 ! [V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 91.92/92.00 ! [V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 91.92/92.00 ! [V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.00 => ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__pos__pos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__neg__neg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_le__iff__diff__le__0,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 91.92/92.00 <=> 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__iff__diff__less__0,axiom,
% 91.92/92.00 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/92.00 <=> 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))) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__Suc__eq__0__disj,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 91.92/92.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 | ? [B_j] :
% 91.92/92.00 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 91.92/92.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_less__Suc0,axiom,
% 91.92/92.00 ! [V_na_2] :
% 91.92/92.00 ( 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))))
% 91.92/92.00 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_gr0__conv__Suc,axiom,
% 91.92/92.00 ! [V_na_2] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 91.92/92.00 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__is__1,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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))
% 91.92/92.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.00 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_one__is__add,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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)
% 91.92/92.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.00 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__gr__0,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 91.92/92.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card_Oempty,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_card__infinite,axiom,
% 91.92/92.00 ! [V_A_2,T_b] :
% 91.92/92.00 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__less,axiom,
% 91.92/92.00 ! [V_m,V_n] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 91.92/92.00 => 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)) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_zero__less__diff,axiom,
% 91.92/92.00 ! [V_m_2,V_na_2] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__add__0,axiom,
% 91.92/92.00 ! [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) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__is__0__eq,axiom,
% 91.92/92.00 ! [V_na_2,V_m_2] :
% 91.92/92.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__is__0__eq_H,axiom,
% 91.92/92.00 ! [V_n,V_m] :
% 91.92/92.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/92.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_One__nat__def,axiom,
% 91.92/92.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_diff__Suc,axiom,
% 91.92/92.00 ! [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)) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_finite__surj__inj,axiom,
% 91.92/92.00 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( 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)))
% 91.92/92.00 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_endo__inj__surj,axiom,
% 91.92/92.00 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( 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))
% 91.92/92.00 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 91.92/92.00 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__iff__eq__card,axiom,
% 91.92/92.00 ! [V_f_2,T_c,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.00 <=> 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) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_eq__card__imp__inj__on,axiom,
% 91.92/92.00 ! [V_f_2,T_c,V_A_2,T_b] :
% 91.92/92.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.00 => ( 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)
% 91.92/92.00 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_pigeonhole,axiom,
% 91.92/92.00 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( 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)))
% 91.92/92.00 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__pos__nonneg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__nonneg__pos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__strict__increasing,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__strict__increasing2,axiom,
% 91.92/92.00 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__neg__nonpos,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_add__nonpos__neg,axiom,
% 91.92/92.00 ! [V_b,V_a,T_a] :
% 91.92/92.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_fold__graph__insert__swap,axiom,
% 91.92/92.00 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 91.92/92.00 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.00 => ( 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))
% 91.92/92.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 91.92/92.00 => 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))) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_linorder__neqE__linordered__idom,axiom,
% 91.92/92.00 ! [V_y,V_x,T_a] :
% 91.92/92.00 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.00 => ( V_x != V_y
% 91.92/92.00 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/92.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 91.92/92.00
% 91.92/92.00 fof(fact_inj__on__insert,axiom,
% 91.92/92.00 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 91.92/92.00 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 91.92/92.00 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 & ~ 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))))))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__eq__0__iff,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__ge__0__finite,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc__pred,axiom,
% 91.92/92.01 ! [V_n] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__Suc__less,axiom,
% 91.92/92.01 ! [V_i,V_n] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__diff__split,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,V_Pa_2] :
% 91.92/92.01 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 91.92/92.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.01 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 91.92/92.01 & ! [B_d] :
% 91.92/92.01 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 91.92/92.01 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__diff__split__asm,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,V_Pa_2] :
% 91.92/92.01 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 91.92/92.01 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.01 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 91.92/92.01 | ? [B_d] :
% 91.92/92.01 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 91.92/92.01 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__bij__eq,axiom,
% 91.92/92.01 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.01 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1Set__sing,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 91.92/92.01 ( 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))
% 91.92/92.01 <=> V_a_2 = V_b_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__gt__0__iff,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__iff__card__le,axiom,
% 91.92/92.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.01 => ( ? [B_f] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 91.92/92.01 & 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)) )
% 91.92/92.01 <=> 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__less__add__iff2,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__less__add__iff1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__iff__surj,axiom,
% 91.92/92.01 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 91.92/92.01 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 => ( ? [B_f] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 91.92/92.01 & 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)) )
% 91.92/92.01 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__eq__add__iff2,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.01 => ( 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)
% 91.92/92.01 <=> 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__diff__add__eq2,axiom,
% 91.92/92.01 ! [V_n,V_m,V_u,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__le__add__iff2,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__eq__add__iff1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 91.92/92.01 => ( 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)
% 91.92/92.01 <=> 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 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__diff__add__eq1,axiom,
% 91.92/92.01 ! [V_n,V_m,V_u,V_i,V_j] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__le__add__iff1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__commute,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__assoc,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.01 ( 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)
% 91.92/92.01 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 | V_m_2 = V_na_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_finite__nat__set__iff__bounded,axiom,
% 91.92/92.01 ! [V_N_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 91.92/92.01 <=> ? [B_m] :
% 91.92/92.01 ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_left__add__mult__distrib,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 91.92/92.01 ! [V_N_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 91.92/92.01 <=> ? [B_m] :
% 91.92/92.01 ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__eq__cancel1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.01 => ( 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)
% 91.92/92.01 <=> V_m_2 = V_na_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__less__cancel1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__mult__le__cancel1,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 91.92/92.01 ! [V_m,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 91.92/92.01 ! [V_a,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 91.92/92.01 ! [V_m,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__scale__eq__noteq,axiom,
% 91.92/92.01 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 91.92/92.01 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 91.92/92.01 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => ( ( V_a = V_b
% 91.92/92.01 & V_c != V_d )
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_even__less__0__iff,axiom,
% 91.92/92.01 ! [V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Plus__eq__empty__conv,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.01 ( 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))
% 91.92/92.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__Suc__eq,axiom,
% 91.92/92.01 ! [V_k_2,V_A_2,T_b] :
% 91.92/92.01 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 91.92/92.01 <=> ? [B_b,B_B] :
% 91.92/92.01 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 91.92/92.01 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 91.92/92.01 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 91.92/92.01 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 91.92/92.01 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 91.92/92.01 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 91.92/92.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 91.92/92.01 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 91.92/92.01 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 91.92/92.01 ! [V_d,V_c,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 91.92/92.01 ! [V_d,V_c,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 91.92/92.01 ! [V_c,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 91.92/92.01 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 91.92/92.01 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 91.92/92.01 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 91.92/92.01 ! [V_rx,V_ly,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 91.92/92.01 ! [V_rx,V_ly,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 91.92/92.01 ! [V_ry,V_rx,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 91.92/92.01 ! [V_ry,V_rx,V_lx,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 91.92/92.01 ! [V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_double__eq__0__iff,axiom,
% 91.92/92.01 ! [V_a_2,T_b] :
% 91.92/92.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.01 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__0__iff,axiom,
% 91.92/92.01 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.01 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 91.92/92.01 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 91.92/92.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_crossproduct__eq,axiom,
% 91.92/92.01 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 91.92/92.01 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 91.92/92.01 => ( 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))
% 91.92/92.01 <=> ( V_w_2 = V_x_2
% 91.92/92.01 | V_y_2 = V_z_2 ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 91.92/92.01 ! [V_b,V_m,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 91.92/92.01 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_crossproduct__noteq,axiom,
% 91.92/92.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 91.92/92.01 => ( ( V_a_2 != V_b_2
% 91.92/92.01 & V_c_2 != V_d_2 )
% 91.92/92.01 <=> 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 91.92/92.01 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OatMost__iff,axiom,
% 91.92/92.01 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OatLeast__iff,axiom,
% 91.92/92.01 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OlessThan__iff,axiom,
% 91.92/92.01 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OgreaterThan__iff,axiom,
% 91.92/92.01 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 91.92/92.01 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 91.92/92.01 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__odd__less__0,axiom,
% 91.92/92.01 ! [V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__image,axiom,
% 91.92/92.01 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)))))) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__into,axiom,
% 91.92/92.01 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__triv,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__idem,axiom,
% 91.92/92.01 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 91.92/92.01 ( hAPP(V_f_2,V_x_2) = V_y_2
% 91.92/92.01 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__other,axiom,
% 91.92/92.01 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 91.92/92.01 ( V_z_2 != V_x_2
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__twist,axiom,
% 91.92/92.01 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 91.92/92.01 ( V_a_2 != V_c_2
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__apply,axiom,
% 91.92/92.01 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 91.92/92.01 ( ( V_z_2 = V_x_2
% 91.92/92.01 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 91.92/92.01 & ( V_z_2 != V_x_2
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__same,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__upd,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__idem__iff,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 91.92/92.01 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__def,axiom,
% 91.92/92.01 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 91.92/92.01 ( ( V_x_2 = V_a_2
% 91.92/92.01 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 91.92/92.01 & ( V_x_2 != V_a_2
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__0,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__add,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__mult,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__diff,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__1,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__f__eq,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__f__f,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__onto,axiom,
% 91.92/92.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__the__inv__into,axiom,
% 91.92/92.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__fun__updI,axiom,
% 91.92/92.01 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__double__eq__0__iff,axiom,
% 91.92/92.01 ! [V_a_2,T_b] :
% 91.92/92.01 ( class_Int_Oring__char__0(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__def,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_f__the__inv__into__f,axiom,
% 91.92/92.01 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 91.92/92.01 => 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 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__odd__nonzero,axiom,
% 91.92/92.01 ! [V_a_2,T_b] :
% 91.92/92.01 ( class_Int_Oring__char__0(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_ex__least__nat__less,axiom,
% 91.92/92.01 ! [V_na_2,V_Pa_2] :
% 91.92/92.01 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 91.92/92.01 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 91.92/92.01 => ? [B_k] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 91.92/92.01 & ! [B_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 91.92/92.01 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 91.92/92.01 & 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)))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card_Oeq__fold__g,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card__def,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_insert__fold1SetE,axiom,
% 91.92/92.01 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 91.92/92.01 ( 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))
% 91.92/92.01 => ~ ! [B_a,B_A] :
% 91.92/92.01 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1Set_Oequations,axiom,
% 91.92/92.01 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 91.92/92.01 ( 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))
% 91.92/92.01 <=> ? [B_a,B_A] :
% 91.92/92.01 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 91.92/92.01 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 91.92/92.01 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__insert,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__diff__nat,axiom,
% 91.92/92.01 ! [V_k_2,V_N_2] :
% 91.92/92.01 ( ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_card_Oneutral,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.01 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.01 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_expand__Suc,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__reorient,axiom,
% 91.92/92.01 ! [V_x_2,V_w_2,T_b] :
% 91.92/92.01 ( class_Int_Onumber(T_b)
% 91.92/92.01 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 91.92/92.01 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_eq__number__of,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Int_Oring__char__0(T_b) )
% 91.92/92.01 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 91.92/92.01 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__number__of,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__number__of,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__add,axiom,
% 91.92/92.01 ! [V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__number__of__eq,axiom,
% 91.92/92.01 ! [V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__number__of__left,axiom,
% 91.92/92.01 ! [V_z,V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__mult,axiom,
% 91.92/92.01 ! [V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_arith__simps_I32_J,axiom,
% 91.92/92.01 ! [V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__number__of__left,axiom,
% 91.92/92.01 ! [V_z,V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__diff,axiom,
% 91.92/92.01 ! [V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__empty,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__number__of__eq__not__less,axiom,
% 91.92/92.01 ! [V_w_2,V_v_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber(T_b)
% 91.92/92.01 & class_Orderings_Olinorder(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> ~ 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_right__distrib__number__of,axiom,
% 91.92/92.01 ! [V_c,V_b,V_v,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber(T_b)
% 91.92/92.01 & class_Rings_Osemiring(T_b) )
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_left__distrib__number__of,axiom,
% 91.92/92.01 ! [V_v,V_b,V_a,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber(T_b)
% 91.92/92.01 & class_Rings_Osemiring(T_b) )
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__number__of__diff1,axiom,
% 91.92/92.01 ! [V_c,V_w,V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_left__diff__distrib__number__of,axiom,
% 91.92/92.01 ! [V_v,V_b,V_a,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber(T_b)
% 91.92/92.01 & class_Rings_Oring(T_b) )
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_right__diff__distrib__number__of,axiom,
% 91.92/92.01 ! [V_c,V_b,V_v,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber(T_b)
% 91.92/92.01 & class_Rings_Oring(T_b) )
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__number__of,axiom,
% 91.92/92.01 ! [V_w_2,T_b] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__singleton,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__singleton__def,axiom,
% 91.92/92.01 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 91.92/92.01 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 91.92/92.01 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__one_Oeq__fold,axiom,
% 91.92/92.01 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__distrib,axiom,
% 91.92/92.01 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.01 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__insert,axiom,
% 91.92/92.01 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_c)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__insert__idem,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.01 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__in,axiom,
% 91.92/92.01 ! [V_A_2,T_b] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 => ( ! [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))))))
% 91.92/92.01 => 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)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_hom__fold1__commute,axiom,
% 91.92/92.01 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.01 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.01 => ( ! [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))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.01 => 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)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__1,axiom,
% 91.92/92.01 ! [V_f_2,V_S_2,T_b,T_c] :
% 91.92/92.01 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.01 => ( ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.01 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__cong,axiom,
% 91.92/92.01 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_c)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.01 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__eq__fold,axiom,
% 91.92/92.01 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__succ,axiom,
% 91.92/92.01 ! [V_k,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pair__box_Osize_I1_J,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__reindex,axiom,
% 91.92/92.01 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_d)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat_Osize_I2_J,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__number__of__int__code,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_plus__numeral__code_I9_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__eq__number__of__int__code,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_times__numeral__code_I5_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__one__le__iff__zero__less,axiom,
% 91.92/92.01 ! [V_z_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__imp__0__less,axiom,
% 91.92/92.01 ! [V_z] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__bin__lemma,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 91.92/92.01 <=> 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__zless__mono2,axiom,
% 91.92/92.01 ! [V_k,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pos__zmult__eq__1__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 91.92/92.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.01 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.01 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_odd__less__0,axiom,
% 91.92/92.01 ! [V_z_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__1__right,axiom,
% 91.92/92.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__1,axiom,
% 91.92/92.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__0__less__1,axiom,
% 91.92/92.01 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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_odd__nonzero,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__0,axiom,
% 91.92/92.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__0__right,axiom,
% 91.92/92.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__zmult__distrib2,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__zmult__distrib,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__assoc,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__commute,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiff__zmult__distrib,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiff__zmult__distrib2,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__refl,axiom,
% 91.92/92.01 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__linear,axiom,
% 91.92/92.01 ! [V_w,V_z] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 91.92/92.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__trans,axiom,
% 91.92/92.01 ! [V_k,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__antisym,axiom,
% 91.92/92.01 ! [V_w,V_z] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 91.92/92.01 => V_z = V_w ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__left__mono,axiom,
% 91.92/92.01 ! [V_k,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__assoc,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__left__commute,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__commute,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_succ__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__linear,axiom,
% 91.92/92.01 ! [V_y,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 91.92/92.01 | V_x = V_y
% 91.92/92.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__add1__eq,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( 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))))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 91.92/92.01 | V_w_2 = V_z_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__strict__right__mono,axiom,
% 91.92/92.01 ! [V_k,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__zless__mono,axiom,
% 91.92/92.01 ! [V_z,V_z_H,V_w,V_w_H] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__imp__add1__zle,axiom,
% 91.92/92.01 ! [V_z,V_w] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add1__zle__eq,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( 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))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__diff1__eq,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( 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))))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__add1__eq__le,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( 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))))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__le,axiom,
% 91.92/92.01 ! [V_w_2,V_z_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 91.92/92.01 & V_z_2 != V_w_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_o__eq__elim,axiom,
% 91.92/92.01 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_o__eq__dest,axiom,
% 91.92/92.01 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_o__apply,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_o__assoc,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_o__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comp__cong,axiom,
% 91.92/92.01 ! [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] :
% 91.92/92.01 ( 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))
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pair__box_Oinject,axiom,
% 91.92/92.01 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.01 ( 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)
% 91.92/92.01 <=> ( V_a_2 = V_a_H_2
% 91.92/92.01 & V_b_2 = V_b_H_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_image__compose,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__imageI2,axiom,
% 91.92/92.01 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__empty,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__upd__comp,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 91.92/92.01 ! [V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat_Osize_I1_J,axiom,
% 91.92/92.01 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__image__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_inj__on__imageI,axiom,
% 91.92/92.01 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comp__inj__on,axiom,
% 91.92/92.01 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( 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))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comp__inj__on__iff,axiom,
% 91.92/92.01 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.01 => ( 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))
% 91.92/92.01 <=> 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 91.92/92.01 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 91.92/92.01 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 91.92/92.01 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_the__inv__into__comp,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 91.92/92.01 ( 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))
% 91.92/92.01 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 91.92/92.01 => ( 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))))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fold1__eq__fold__idem,axiom,
% 91.92/92.01 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.01 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_minus__fold__remove,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__one_Oeq__fold_H,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 91.92/92.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_unique__quotient__lemma__neg,axiom,
% 91.92/92.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono2__lemma,axiom,
% 91.92/92.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 91.92/92.01 ( 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)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_unique__quotient__lemma,axiom,
% 91.92/92.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_q__neg__lemma,axiom,
% 91.92/92.01 ! [V_r_H,V_q_H,V_b_H] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_q__pos__lemma,axiom,
% 91.92/92.01 ! [V_r_H,V_q_H,V_b_H] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_self__quotient__aux1,axiom,
% 91.92/92.01 ! [V_q,V_r,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_self__quotient__aux2,axiom,
% 91.92/92.01 ! [V_q,V_r,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__is__id,axiom,
% 91.92/92.01 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__0__neq__1,axiom,
% 91.92/92.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 91.92/92.01 ! [V_y,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 91.92/92.01 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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 91.92/92.01 ! [V_y,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pair__box_Osize_I2_J,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pair__box_Orecs,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pair__box_Osimps_I2_J,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 91.92/92.01 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)))))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Oremove,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 91.92/92.01 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 91.92/92.01 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.01 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__left__comp,axiom,
% 91.92/92.01 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__comp,axiom,
% 91.92/92.01 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 91.92/92.01 ! [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] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 91.92/92.01 => V_y_2 = V_x_2 ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__comp_H,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 91.92/92.01 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 91.92/92.01 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Oeq__fold,axiom,
% 91.92/92.01 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 91.92/92.01 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 91.92/92.01 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 91.92/92.01 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 91.92/92.01 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Oinsert,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 91.92/92.01 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 91.92/92.01 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 91.92/92.01 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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding_Oinsert__remove,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 91.92/92.01 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)))))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 91.92/92.01 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.01 => ? [B_y_H] :
% 91.92/92.01 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 91.92/92.01 & 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)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__image_Oreindex,axiom,
% 91.92/92.01 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.01 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat_Osize_I4_J,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc__nat__number__of__add,axiom,
% 91.92/92.01 ! [V_n,V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_tsub__def,axiom,
% 91.92/92.01 ! [V_x,V_y] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 91.92/92.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 91.92/92.01 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__idem_Oinsert__idem,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 91.92/92.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__size,axiom,
% 91.92/92.01 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 91.92/92.01
% 91.92/92.01 fof(fact_not__neg__0,axiom,
% 91.92/92.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_not__neg__1,axiom,
% 91.92/92.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_not__neg__eq__ge__0,axiom,
% 91.92/92.01 ! [V_x_2] :
% 91.92/92.01 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__def,axiom,
% 91.92/92.01 ! [V_Z_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__idem_Oidem__comp,axiom,
% 91.92/92.01 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 91.92/92.01 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__image_Odistrib,axiom,
% 91.92/92.01 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat_Osize_I3_J,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__imp__number__of__eq__0,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_folding__image_Oeq__fold,axiom,
% 91.92/92.01 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 91.92/92.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_eq__nat__number__of,axiom,
% 91.92/92.01 ! [V_v_H_2,V_v_2] :
% 91.92/92.01 ( 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)
% 91.92/92.01 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 91.92/92.01 => 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))) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 91.92/92.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 91.92/92.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 91.92/92.01 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__add__left,axiom,
% 91.92/92.01 ! [V_k,V_v_H,V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.01 => 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) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 91.92/92.01 ! [V_y,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_tsub__eq,axiom,
% 91.92/92.01 ! [V_x,V_y] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 91.92/92.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc__nat__number__of,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__Bit1,axiom,
% 91.92/92.01 ! [V_w_2] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 91.92/92.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__number__of__lemma,axiom,
% 91.92/92.01 ! [V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => ( ( 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)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ 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)))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__add__1,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__1__add__number__of,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 91.92/92.01 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.01 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.01 => ~ ! [B_y] :
% 91.92/92.01 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 91.92/92.01 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__number__of__eq,axiom,
% 91.92/92.01 ! [V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__number__of__pred__iff__0,axiom,
% 91.92/92.01 ! [V_v_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 91.92/92.01 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__mult__left,axiom,
% 91.92/92.01 ! [V_k,V_v_H,V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I51_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 91.92/92.01 <=> V_k_2 = V_l_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I46_J,axiom,
% 91.92/92.01 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I39_J,axiom,
% 91.92/92.01 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__eq__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,T_b] :
% 91.92/92.01 ( class_Nat_Osemiring__char__0(T_b)
% 91.92/92.01 => ( 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)
% 91.92/92.01 <=> V_m_2 = V_na_2 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I12_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_succ__Pls,axiom,
% 91.92/92.01 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I22_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 91.92/92.01 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)))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__numeral__1,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__numeral__1__right,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_numeral__1__eq__1,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_semiring__norm_I110_J,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I29_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I5_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_one__is__num__one,axiom,
% 91.92/92.01 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__numeral__1__eq__1,axiom,
% 91.92/92.01 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Numeral1__eq1__nat,axiom,
% 91.92/92.01 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I34_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__eq__int__code_I16_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I17_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__int__code_I16_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Pls__def,axiom,
% 91.92/92.01 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I19_J,axiom,
% 91.92/92.01 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I2_J,axiom,
% 91.92/92.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__Pls__right,axiom,
% 91.92/92.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__Pls,axiom,
% 91.92/92.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__Pls,axiom,
% 91.92/92.01 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 91.92/92.01
% 91.92/92.01 fof(fact_not__neg__int,axiom,
% 91.92/92.01 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I1_J,axiom,
% 91.92/92.01 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 91.92/92.01 ! [V_A_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 91.92/92.01 <=> 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_numeral__1__eq__Suc__0,axiom,
% 91.92/92.01 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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_numeral__3__eq__3,axiom,
% 91.92/92.01 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)))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 91.92/92.01 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))))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc3__eq__add__3,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_succ__pred,axiom,
% 91.92/92.01 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__special_I2_J,axiom,
% 91.92/92.01 ! [V_y_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__special_I4_J,axiom,
% 91.92/92.01 ! [V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__special_I2_J,axiom,
% 91.92/92.01 ! [V_y_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__special_I4_J,axiom,
% 91.92/92.01 ! [V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__special_I2_J,axiom,
% 91.92/92.01 ! [V_w,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__special_I3_J,axiom,
% 91.92/92.01 ! [V_v,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 91.92/92.01 ! [V_m,V_n] :
% 91.92/92.01 ( 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))
% 91.92/92.01 => 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)))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 91.92/92.01 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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__0,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__eq__0__conv,axiom,
% 91.92/92.01 ! [V_na_2] :
% 91.92/92.01 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.01 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 91.92/92.01 ! [V_Pa_2] :
% 91.92/92.01 ( ? [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.01 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.01 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 91.92/92.01 ! [V_Pa_2] :
% 91.92/92.01 ( ! [B_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.01 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.01 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__zle__int,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__less__0__conv,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__int,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_bin__less__0__simps_I4_J,axiom,
% 91.92/92.01 ! [V_w_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__int,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__int,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zadd__int__left,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zle__iff__zadd,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 91.92/92.01 <=> ? [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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__0__le__iff,axiom,
% 91.92/92.01 ! [V_n,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__le__imp__of__nat,axiom,
% 91.92/92.01 ! [V_m,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__less__0__iff,axiom,
% 91.92/92.01 ! [V_m,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ~ 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__Pls,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_semiring__norm_I112_J,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Bit1__def,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__mult,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__int,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__numeral__0,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__numeral__0__right,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__0,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__less__imp__less,axiom,
% 91.92/92.01 ! [V_n,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__imp__of__nat__less,axiom,
% 91.92/92.01 ! [V_n,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__less__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 91.92/92.01 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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__1,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__le__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__add,axiom,
% 91.92/92.01 ! [V_n,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_bin__less__0__simps_I1_J,axiom,
% 91.92/92.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__Pls,axiom,
% 91.92/92.01 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_semiring__norm_I113_J,axiom,
% 91.92/92.01 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__mult,axiom,
% 91.92/92.01 ! [V_n,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__is__num__zero,axiom,
% 91.92/92.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__number__of__Bit1,axiom,
% 91.92/92.01 ! [V_w_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 91.92/92.01 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Suc__diff__number__of,axiom,
% 91.92/92.01 ! [V_m,V_v] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__1,axiom,
% 91.92/92.01 ! [T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_not__neg__number__of__Pls,axiom,
% 91.92/92.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__of__nat,axiom,
% 91.92/92.01 ! [V_na_2,T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__iff__pred__less,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pred__def,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__diff__1,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__Bit1,axiom,
% 91.92/92.01 ! [V_w,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__le__0__conv,axiom,
% 91.92/92.01 ! [V_na_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__Suc0__eq__1,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zless__iff__Suc__zadd,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 91.92/92.01 <=> ? [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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__Suc,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiff__int,axiom,
% 91.92/92.01 ! [V_m,V_n] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__Suc,axiom,
% 91.92/92.01 ! [V_m,T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_eq__number__of__0,axiom,
% 91.92/92.01 ! [V_v_2] :
% 91.92/92.01 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_eq__0__number__of,axiom,
% 91.92/92.01 ! [V_v_2] :
% 91.92/92.01 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__nat__number__of,axiom,
% 91.92/92.01 ! [V_v_H_2,V_v_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 91.92/92.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__diff,axiom,
% 91.92/92.01 ! [V_m,V_n,T_a] :
% 91.92/92.01 ( class_Rings_Oring__1(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__nat__number__of,axiom,
% 91.92/92.01 ! [V_v_H_2,V_v_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__less__int__conv,axiom,
% 91.92/92.01 ! [V_na_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zmult__zless__mono2__lemma,axiom,
% 91.92/92.01 ! [V_k,V_j,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__special_I3_J,axiom,
% 91.92/92.01 ! [V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_le__special_I1_J,axiom,
% 91.92/92.01 ! [V_y_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__special_I1_J,axiom,
% 91.92/92.01 ! [V_y_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__special_I3_J,axiom,
% 91.92/92.01 ! [V_x_2,T_b] :
% 91.92/92.01 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 & class_Rings_Olinordered__idom(T_b) )
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__0__less__iff,axiom,
% 91.92/92.01 ! [V_na_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__nat__number__of,axiom,
% 91.92/92.01 ! [V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__0__number__of,axiom,
% 91.92/92.01 ! [V_v_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__nat__number__of,axiom,
% 91.92/92.01 ! [V_v_H,V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 91.92/92.01 => 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)) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__nat__number__of,axiom,
% 91.92/92.01 ! [V_v_H,V_v] :
% 91.92/92.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiff__int__split,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_Pa_2] :
% 91.92/92.01 ( 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))))
% 91.92/92.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 91.92/92.01 => 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)))) )
% 91.92/92.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 91.92/92.01 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of2,axiom,
% 91.92/92.01 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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 91.92/92.01 ! [V_na_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__number__of__odd__number__of,axiom,
% 91.92/92.01 ! [V_v_2,V_w_2,T_b] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 => ( ( 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)))
% 91.92/92.01 => 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))) )
% 91.92/92.01 & ( ~ 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)))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zpower__number__of__odd,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2] :
% 91.92/92.01 ( ( 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)))
% 91.92/92.01 => 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))) )
% 91.92/92.01 & ( ~ 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)))
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nats__number__of,axiom,
% 91.92/92.01 ! [V_w_2,T_b] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_one__code__numeral__code,axiom,
% 91.92/92.01 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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__number__of__odd,axiom,
% 91.92/92.01 ! [V_z_2,V_w_2,T_b] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_b)
% 91.92/92.01 => ( ( 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)))
% 91.92/92.01 => 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))) )
% 91.92/92.01 & ( ~ 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)))
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__int__eq,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2] :
% 91.92/92.01 ( 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)
% 91.92/92.01 <=> V_m_2 = V_na_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zpower__int,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__power,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.01 <=> 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.01 <=> 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 91.92/92.01 ! [V_A_2,V_x_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 91.92/92.01 <=> 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 91.92/92.01 ! [V_B_2,V_A_2] :
% 91.92/92.01 ( V_A_2 = V_B_2
% 91.92/92.01 <=> 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2] :
% 91.92/92.01 ( 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)
% 91.92/92.01 <=> V_x_2 = V_y_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 91.92/92.01 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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_code__numeral__zero__minus__one,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 91.92/92.01 ! [V_q,V_y,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 91.92/92.01 ! [V_q,V_p,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zpower__zpower,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 91.92/92.01 ! [V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 91.92/92.01 ! [V_q,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 91.92/92.01 ! [V_q,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 91.92/92.01 ! [V_q,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 91.92/92.01 ! [V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 91.92/92.01 ! [V_q,V_p,V_x,T_a] :
% 91.92/92.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 91.92/92.01 ! [V_n,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zpower__zadd__distrib,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Ints__power,axiom,
% 91.92/92.01 ! [V_na_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Oring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 91.92/92.01 ! [V_i_2,V_inc_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => 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 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 91.92/92.01 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__code__numeral__code,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nats__0,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nats__add,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nats__mult,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Nats__1,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__in__Nats,axiom,
% 91.92/92.01 ! [V_na_2,T_b] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power3__eq__cube,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__eq__if,axiom,
% 91.92/92.01 ! [V_p,V_m] :
% 91.92/92.01 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 91.92/92.01 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__strict__mono,axiom,
% 91.92/92.01 ! [V_n,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.01 => 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))) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_one__less__power,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__increasing__iff,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__le__imp__le__exp,axiom,
% 91.92/92.01 ! [V_n,V_m,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__decreasing,axiom,
% 91.92/92.01 ! [V_a,V_N,V_n,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.01 => 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))) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__strict__decreasing,axiom,
% 91.92/92.01 ! [V_a,V_N,V_n,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.01 => 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))) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__Suc__less__one,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_field__power__not__zero,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 91.92/92.01 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__Suc__0,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 91.92/92.01 ! [V_m_2,V_x_2] :
% 91.92/92.01 ( 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))
% 91.92/92.01 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__zero__less__power__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_x_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 91.92/92.01 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__power__less__imp__less,axiom,
% 91.92/92.01 ! [V_n,V_m,V_i] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__commutes,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__mult__distrib,axiom,
% 91.92/92.01 ! [V_n,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Groups_Ocomm__monoid__mult(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__one,axiom,
% 91.92/92.01 ! [V_n,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_of__nat__power,axiom,
% 91.92/92.01 ! [V_n,V_m,T_a] :
% 91.92/92.01 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__mult,axiom,
% 91.92/92.01 ! [V_n,V_m,V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__one__right,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__mono,axiom,
% 91.92/92.01 ! [V_n,V_b,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__le__power,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zero__less__power,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__eq__0__iff,axiom,
% 91.92/92.01 ! [V_na_2,V_a_2,T_b] :
% 91.92/92.01 ( ( class_Power_Opower(T_b)
% 91.92/92.01 & class_Rings_Omult__zero(T_b)
% 91.92/92.01 & class_Rings_Ono__zero__divisors(T_b)
% 91.92/92.01 & class_Rings_Ozero__neq__one(T_b) )
% 91.92/92.01 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.01 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.01 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_one__le__power,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__0__Suc,axiom,
% 91.92/92.01 ! [V_n,T_a] :
% 91.92/92.01 ( ( class_Power_Opower(T_a)
% 91.92/92.01 & class_Rings_Osemiring__0(T_a) )
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__inject__exp,axiom,
% 91.92/92.01 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 91.92/92.01 => ( 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)
% 91.92/92.01 <=> V_m_2 = V_na_2 ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__Suc,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Power_Opower(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__Suc2,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__one__le__power,axiom,
% 91.92/92.01 ! [V_n,V_i] :
% 91.92/92.01 ( 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))
% 91.92/92.01 => 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))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__0,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Power_Opower(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__add,axiom,
% 91.92/92.01 ! [V_n,V_m,V_a,T_a] :
% 91.92/92.01 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__less__imp__less__base,axiom,
% 91.92/92.01 ! [V_b,V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__inject__base,axiom,
% 91.92/92.01 ! [V_b,V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( 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))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.01 => V_a = V_b ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__le__imp__le__base,axiom,
% 91.92/92.01 ! [V_b,V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( 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))))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__gt1__lemma,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__less__power__Suc,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__0__left,axiom,
% 91.92/92.01 ! [V_n,T_a] :
% 91.92/92.01 ( ( class_Power_Opower(T_a)
% 91.92/92.01 & class_Rings_Osemiring__0(T_a) )
% 91.92/92.01 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__gt1,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__strict__increasing__iff,axiom,
% 91.92/92.01 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_b)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__less__imp__less__exp,axiom,
% 91.92/92.01 ! [V_n,V_m,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__strict__increasing,axiom,
% 91.92/92.01 ! [V_a,V_N,V_n,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__increasing,axiom,
% 91.92/92.01 ! [V_a,V_N,V_n,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__Suc__less,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__eq__imp__eq__base,axiom,
% 91.92/92.01 ! [V_b,V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.01 => ( 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)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.01 => V_a = V_b ) ) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__of__aux__code,axiom,
% 91.92/92.01 ! [V_n,V_i] :
% 91.92/92.01 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.01 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 91.92/92.01 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power__power__power,axiom,
% 91.92/92.01 ! [T_b] :
% 91.92/92.01 ( class_Power_Opower(T_b)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_odd__power__less__zero,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 91.92/92.01 ! [V_n,V_a,T_a] :
% 91.92/92.01 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.01 => ( 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)))))
% 91.92/92.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power2__diff,axiom,
% 91.92/92.01 ! [V_y,V_x,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_code__numeral_Osize_I1_J,axiom,
% 91.92/92.01 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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__power__div__base,axiom,
% 91.92/92.01 ! [V_k,V_m] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 91.92/92.01 => 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)))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I48_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 91.92/92.01 <=> V_k_2 = V_l_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__number__of__Bit0,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__zero,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__eq__int__code_I13_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I31_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__int__code_I13_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I14_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Bit0__Pls,axiom,
% 91.92/92.01 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I38_J,axiom,
% 91.92/92.01 ! [V_l_2] :
% 91.92/92.01 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 91.92/92.01 <=> c_Int_OPls = V_l_2 ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I44_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 91.92/92.01 <=> V_k_2 = c_Int_OPls ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I49_J,axiom,
% 91.92/92.01 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I50_J,axiom,
% 91.92/92.01 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Bit0__def,axiom,
% 91.92/92.01 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__Bit0__Bit0,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__Bit0,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I7_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__0,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__by__0,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__by__1,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 91.92/92.01 ! [V_y,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 91.92/92.01 ! [V_a_2,V_b_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 91.92/92.01 ! [V_a_2,V_b_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__neg__pos__less0,axiom,
% 91.92/92.01 ! [V_b,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__self,axiom,
% 91.92/92.01 ! [V_a] :
% 91.92/92.01 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_bin__less__0__simps_I3_J,axiom,
% 91.92/92.01 ! [V_w_2] :
% 91.92/92.01 ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I21_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I27_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I32_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__eq__int__code_I14_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I4_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I10_J,axiom,
% 91.92/92.01 ! [V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I16_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__int__code_I15_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__Bit1__Bit0,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_add__Bit0__Bit1,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I3_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I10_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I9_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__number__of__Bit0,axiom,
% 91.92/92.01 ! [V_w_2] :
% 91.92/92.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 91.92/92.01 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__mult1,axiom,
% 91.92/92.01 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__mult2,axiom,
% 91.92/92.01 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__self1__is__id,axiom,
% 91.92/92.01 ! [V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__self2__is__id,axiom,
% 91.92/92.01 ! [V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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 ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__mult1__if,axiom,
% 91.92/92.01 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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) )
% 91.92/92.01 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pred__Bit1,axiom,
% 91.92/92.01 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pred__Bit0,axiom,
% 91.92/92.01 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__self,axiom,
% 91.92/92.01 ! [V_a,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_succ__Bit1,axiom,
% 91.92/92.01 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_succ__Bit0,axiom,
% 91.92/92.01 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nat__number__of__Bit0,axiom,
% 91.92/92.01 ! [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))) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__number__of__Bit1,axiom,
% 91.92/92.01 ! [V_v,V_w] :
% 91.92/92.01 ( ( 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)))
% 91.92/92.01 => 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)) )
% 91.92/92.01 & ( ~ 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)))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_number__of__Bit0,axiom,
% 91.92/92.01 ! [V_w,T_a] :
% 91.92/92.01 ( class_Int_Onumber__ring(T_a)
% 91.92/92.01 => 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)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__eq__0__iff,axiom,
% 91.92/92.01 ! [V_k_2,V_i_2] :
% 91.92/92.01 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.01 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 91.92/92.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 91.92/92.01 ! [V_a_2,V_b_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 91.92/92.01 ! [V_i_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 91.92/92.01 ! [V_b_2,V_a_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 91.92/92.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono2,axiom,
% 91.92/92.01 ! [V_b,V_b_H,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__nonneg__neg__le0,axiom,
% 91.92/92.01 ! [V_b,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__pos__pos__trivial,axiom,
% 91.92/92.01 ! [V_b,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 91.92/92.01 ! [V_a_2,V_b_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( 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)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__nonpos__pos__le0,axiom,
% 91.92/92.01 ! [V_b,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono2__neg,axiom,
% 91.92/92.01 ! [V_b,V_b_H,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 91.92/92.01 => 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))) ) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__neg__neg__trivial,axiom,
% 91.92/92.01 ! [V_b,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 91.92/92.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono1,axiom,
% 91.92/92.01 ! [V_b,V_a_H,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__mono1__neg,axiom,
% 91.92/92.01 ! [V_b,V_a_H,V_a] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.01 => 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))) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_int__div__less__self,axiom,
% 91.92/92.01 ! [V_k,V_x] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_zdiv__zmult2__eq,axiom,
% 91.92/92.01 ! [V_b,V_a,V_c] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.01 => 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) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I15_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__int__code_I14_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_rel__simps_I33_J,axiom,
% 91.92/92.01 ! [V_l_2,V_k_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_less__eq__int__code_I15_J,axiom,
% 91.92/92.01 ! [V_k2_2,V_k1_2] :
% 91.92/92.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 91.92/92.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_mult__Bit1,axiom,
% 91.92/92.01 ! [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) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power_Opower_Opower__0,axiom,
% 91.92/92.01 ! [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 ).
% 91.92/92.01
% 91.92/92.01 fof(fact_power_Opower_Opower__Suc,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_diff__bin__simps_I8_J,axiom,
% 91.92/92.01 ! [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)) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__self2,axiom,
% 91.92/92.01 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__mult__self1,axiom,
% 91.92/92.01 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__add__self2,axiom,
% 91.92/92.01 ! [V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.01 => 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)) ) ) ).
% 91.92/92.01
% 91.92/92.01 fof(fact_div__add__self1,axiom,
% 91.92/92.01 ! [V_a,V_b,T_a] :
% 91.92/92.01 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__Bit1__Bit1,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__number__of__even,axiom,
% 91.92/92.02 ! [V_w_2,V_z_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zpower__number__of__even,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__zdiv__mult__2,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__zdiv__mult__2,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_double__number__of__Bit0,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_number__of1,axiom,
% 91.92/92.02 ! [V_n] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( 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))))
% 91.92/92.02 & 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__number__of__even__number__of,axiom,
% 91.92/92.02 ! [V_w_2,V_v_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__2,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__2__right,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_one__add__one__is__two,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__zdiv,axiom,
% 91.92/92.02 ! [V_k_2,V_na_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 91.92/92.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.02 => ! [B_i] :
% 91.92/92.02 ( ? [B_j] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 91.92/92.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ! [B_i] :
% 91.92/92.02 ( ? [B_j] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__div__eq,axiom,
% 91.92/92.02 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 91.92/92.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__eq__power2,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__power2,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_semiring__norm_I115_J,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_numeral__2__eq__2,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 91.92/92.02 ! [V_x,T_a] :
% 91.92/92.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__eq__square,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 91.92/92.02 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))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__2__eq__Suc_H,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__2__eq__Suc,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_one__power2,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__2,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__2__right,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__even__eq,axiom,
% 91.92/92.02 ! [V_n,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 91.92/92.02 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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__1__add__1,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__eq__imp__eq,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.02 => ( 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))))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.02 => V_x = V_y ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__le__imp__le,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.02 => ( 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))))))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__le__power2,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.02 => 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)))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__less__power2,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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))))))
% 91.92/92.02 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__less__0,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.02 => ~ 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_sum__power2__eq__zero__iff,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__eq__square__number__of,axiom,
% 91.92/92.02 ! [V_w,T_b] :
% 91.92/92.02 ( ( class_Groups_Omonoid__mult(T_b)
% 91.92/92.02 & class_Int_Onumber(T_b) )
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__2__cases,axiom,
% 91.92/92.02 ! [V_n] :
% 91.92/92.02 ( 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)))))
% 91.92/92.02 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 91.92/92.02 ! [V_n,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__less__imp__less,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__semidom(T_a)
% 91.92/92.02 => ( 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))))))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_sum__power2__le__zero__iff,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_sum__power2__ge__zero,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.02 => 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))))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__sum__power2__lt__zero,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.02 => ~ 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_sum__power2__gt__zero__iff,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))))))
% 91.92/92.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__sum,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__le__even__power_H,axiom,
% 91.92/92.02 ! [V_n,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__odd__eq,axiom,
% 91.92/92.02 ! [V_n,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Omonoid__mult(T_a)
% 91.92/92.02 => 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 91.92/92.02 ! [V_n,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__zmod__mult__2,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__number__of__Bit1,axiom,
% 91.92/92.02 ! [V_v,V_w] :
% 91.92/92.02 ( ( 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)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ 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)))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__zmod__mult__2,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__nat__double,axiom,
% 91.92/92.02 ! [V_x,T_a] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Osize_I2_J,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__m1__odd,axiom,
% 91.92/92.02 ! [V_n,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__m1__even,axiom,
% 91.92/92.02 ! [V_n,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Oinject,axiom,
% 91.92/92.02 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 91.92/92.02 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 91.92/92.02 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mod__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__minus1__right,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__0,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__by__0,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__self,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__self2,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__self1,axiom,
% 91.92/92.02 ! [V_a,V_b,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__right__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__left__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__simps_I2_J,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__simps_I1_J,axiom,
% 91.92/92.02 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__add__cong,axiom,
% 91.92/92.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__right__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__left__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__mult1,axiom,
% 91.92/92.02 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__mult2,axiom,
% 91.92/92.02 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__simps_I4_J,axiom,
% 91.92/92.02 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__cong,axiom,
% 91.92/92.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__diff__cong,axiom,
% 91.92/92.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__diff__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__diff__left__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__diff__right__eq,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__le__mono,axiom,
% 91.92/92.02 ! [V_k,V_n,V_m] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__le__dividend,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mult2__eq,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zero,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__self,axiom,
% 91.92/92.02 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__int,axiom,
% 91.92/92.02 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I24_J,axiom,
% 91.92/92.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I7_J,axiom,
% 91.92/92.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__simps_I3_J,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zmult1__eq,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I37_J,axiom,
% 91.92/92.02 c_Int_OPls != c_Int_OMin ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I40_J,axiom,
% 91.92/92.02 c_Int_OMin != c_Int_OPls ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I47_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 91.92/92.02 <=> V_k_2 = c_Int_OMin ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I43_J,axiom,
% 91.92/92.02 ! [V_l_2] :
% 91.92/92.02 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 91.92/92.02 <=> c_Int_OMin = V_l_2 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Bit1__Min,axiom,
% 91.92/92.02 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I45_J,axiom,
% 91.92/92.02 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I42_J,axiom,
% 91.92/92.02 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiff__zmod__left,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiff__zmod__right,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zpower__zmod,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__div__distrib,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self2__is__0,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self1__is__0,axiom,
% 91.92/92.02 ! [V_a,V_b,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self1,axiom,
% 91.92/92.02 ! [V_b,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self2,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__by__1,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__div__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__1,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__less,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__div__cancel__disj,axiom,
% 91.92/92.02 ! [V_n,V_m,V_k] :
% 91.92/92.02 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 91.92/92.02 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__0,axiom,
% 91.92/92.02 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ex__nat,axiom,
% 91.92/92.02 ! [V_Pa_2] :
% 91.92/92.02 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.02 <=> ? [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.02 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_all__nat,axiom,
% 91.92/92.02 ! [V_Pa_2] :
% 91.92/92.02 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 91.92/92.02 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 91.92/92.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__nat__nat__iff,axiom,
% 91.92/92.02 ! [V_z_H_2,V_z_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 91.92/92.02 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 91.92/92.02 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__le__nonneg__dividend,axiom,
% 91.92/92.02 ! [V_k,V_m] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__mod__bound,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__mod__bound,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__int,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__number__of__def,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__number__of,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__eq__0__iff,axiom,
% 91.92/92.02 ! [V_d_2,V_m_2] :
% 91.92/92.02 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_bin__less__0__simps_I2_J,axiom,
% 91.92/92.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_DIVISION__BY__ZERO,axiom,
% 91.92/92.02 ! [V_a] :
% 91.92/92.02 ( 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)
% 91.92/92.02 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zdiv__trivial,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I20_J,axiom,
% 91.92/92.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I23_J,axiom,
% 91.92/92.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I30_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I26_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I3_J,axiom,
% 91.92/92.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I6_J,axiom,
% 91.92/92.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I13_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I9_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I28_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 91.92/92.02 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I8_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__number__of__Pls__Min,axiom,
% 91.92/92.02 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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__nat,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 91.92/92.02 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zadd1__eq,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__neg__nat,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 91.92/92.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__number__of__Min,axiom,
% 91.92/92.02 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 91.92/92.02 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pred__Pls,axiom,
% 91.92/92.02 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__Min,axiom,
% 91.92/92.02 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__Min__right,axiom,
% 91.92/92.02 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pred__Min,axiom,
% 91.92/92.02 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_succ__Min,axiom,
% 91.92/92.02 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__nat__number__of,axiom,
% 91.92/92.02 ! [V_v_H,V_v] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__minus1,axiom,
% 91.92/92.02 ! [V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__bin__simps_I2_J,axiom,
% 91.92/92.02 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_one__div__nat__number__of,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mod__equality,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mod__equality2,axiom,
% 91.92/92.02 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__div__equality,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__div__equality2,axiom,
% 91.92/92.02 ! [V_a,V_b,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__le__mono2,axiom,
% 91.92/92.02 ! [V_k,V_n,V_m] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__div__cancel1,axiom,
% 91.92/92.02 ! [V_n,V_m,V_k] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mult__self__is__m,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mult__self1__is__m,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__less__dividend,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__le__0,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__0__iff,axiom,
% 91.92/92.02 ! [V_i_2] :
% 91.92/92.02 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zless__nat__conj,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mono__iff,axiom,
% 91.92/92.02 ! [V_w_2,V_z_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__1,axiom,
% 91.92/92.02 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__0__le,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__eq__iff,axiom,
% 91.92/92.02 ! [V_z_2,V_m_2] :
% 91.92/92.02 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 91.92/92.02 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__nat__eq,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zless__nat__eq__int__zless,axiom,
% 91.92/92.02 ! [V_z_2,V_m_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 91.92/92.02 <=> 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__neg__neg__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__mod__conj,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 & 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__mod__sign,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__pos__pos__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__mod__conj,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 & 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__mod__sign,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I11_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rel__simps_I25_J,axiom,
% 91.92/92.02 ! [V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zmod__equality2,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zmod__equality,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zmult1__eq,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zdiv__equality,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__bin__simps_I4_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult__eq__1__iff,axiom,
% 91.92/92.02 ! [V_na_2,V_m_2] :
% 91.92/92.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.02 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.02 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 91.92/92.02 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 91.92/92.02 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.02 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 91.92/92.02 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__bin__simps_I5_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__bin__simps_I6_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zdiv__equality_H,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult__div__cancel,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__geq,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__if,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__div,axiom,
% 91.92/92.02 ! [V_k_2,V_na_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 91.92/92.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 91.92/92.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => ! [B_i,B_j] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 91.92/92.02 => ( 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)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zero__less__nat__eq,axiom,
% 91.92/92.02 ! [V_z_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__less__eq__zless,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__eq__iff2,axiom,
% 91.92/92.02 ! [V_w_2,V_m_2] :
% 91.92/92.02 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 91.92/92.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__eq__iff,axiom,
% 91.92/92.02 ! [V_m_2,V_w_2] :
% 91.92/92.02 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 91.92/92.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__le__eq__zle,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__nat,axiom,
% 91.92/92.02 ! [V_i_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 91.92/92.02 <=> ( ! [B_n] :
% 91.92/92.02 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 91.92/92.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__add__distrib,axiom,
% 91.92/92.02 ! [V_z_H,V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__eq__iff__number__of,axiom,
% 91.92/92.02 ! [V_v_2,V_m_2] :
% 91.92/92.02 ( 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)
% 91.92/92.02 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 91.92/92.02 & 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__distrib,axiom,
% 91.92/92.02 ! [V_z_H,V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__pos__neg__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__diff__distrib,axiom,
% 91.92/92.02 ! [V_z,V_z_H] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 91.92/92.02 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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__eq__minus1,axiom,
% 91.92/92.02 ! [V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 91.92/92.02 ! [V_n,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__power__eq,axiom,
% 91.92/92.02 ! [V_n,V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__code__numeral__minus__one,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__nat__eq__if,axiom,
% 91.92/92.02 ! [V_z_2,V_z_H_2] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__div__geq,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__div__lemma,axiom,
% 91.92/92.02 ! [V_m_2,V_q_2,V_na_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 91.92/92.02 => ( ( 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))
% 91.92/92.02 & 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)))) )
% 91.92/92.02 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__div_H,axiom,
% 91.92/92.02 ! [V_na_2,V_m_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 91.92/92.02 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 91.92/92.02 | ? [B_q] :
% 91.92/92.02 ( 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))
% 91.92/92.02 & 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))))
% 91.92/92.02 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__Suc__eq__div__add3,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__div__eq__add3__div,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div2__Suc__Suc,axiom,
% 91.92/92.02 ! [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))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__self__div__2,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_one__less__nat__eq,axiom,
% 91.92/92.02 ! [V_z_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__less__iff,axiom,
% 91.92/92.02 ! [V_m_2,V_w_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 91.92/92.02 <=> 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 91.92/92.02 ! [V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 91.92/92.02 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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__mod__eq,axiom,
% 91.92/92.02 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 91.92/92.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult2__lemma__aux2,axiom,
% 91.92/92.02 ! [V_q,V_r,V_b,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult2__lemma__aux1,axiom,
% 91.92/92.02 ! [V_q,V_r,V_b,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult2__lemma__aux4,axiom,
% 91.92/92.02 ! [V_q,V_b,V_r,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult2__lemma__aux3,axiom,
% 91.92/92.02 ! [V_q,V_b,V_r,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__zmod,axiom,
% 91.92/92.02 ! [V_k_2,V_na_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 91.92/92.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 91.92/92.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.02 => ! [B_i,B_j] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 91.92/92.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ! [B_i,B_j] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__number__of__Bit0,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zmult2__eq,axiom,
% 91.92/92.02 ! [V_b,V_a,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__eq__number__of,axiom,
% 91.92/92.02 ! [V_v_2,V_na_2] :
% 91.92/92.02 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 91.92/92.02 <=> 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__number__of__Suc,axiom,
% 91.92/92.02 ! [V_na_2,V_v_2] :
% 91.92/92.02 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 91.92/92.02 <=> 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__case__number__of,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__2,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__neg__lemma,axiom,
% 91.92/92.02 ! [V_na_2,V_Pa_2,V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ! [B_i,B_j] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__pos__lemma,axiom,
% 91.92/92.02 ! [V_na_2,V_Pa_2,V_k_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ! [B_i,B_j] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 91.92/92.02 & 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) )
% 91.92/92.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__pos__neg__trivial,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__nat__number__of,axiom,
% 91.92/92.02 ! [V_n,V_v] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__nat__number__of__number__of,axiom,
% 91.92/92.02 ! [V_w,V_v] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__Suc__number__of,axiom,
% 91.92/92.02 ! [V_v_2,V_na_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__number__of__Suc,axiom,
% 91.92/92.02 ! [V_na_2,V_v_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__number__of__Suc,axiom,
% 91.92/92.02 ! [V_na_2,V_v_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__Suc__number__of,axiom,
% 91.92/92.02 ! [V_v_2,V_na_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__2__gt__zero,axiom,
% 91.92/92.02 ! [V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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)))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__case__add__eq__if,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 91.92/92.02 ! [V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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)))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__aux__def,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Osize_I4_J,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__rec__add__eq__if,axiom,
% 91.92/92.02 ! [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))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__rec__number__of,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__morphism__nat__int,axiom,
% 91.92/92.02 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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__nat__number__of,axiom,
% 91.92/92.02 ! [V_v_2,V_v_H_2] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_one__mod__nat__number__of,axiom,
% 91.92/92.02 ! [V_v_H] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_inj__uminus,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negative__zle,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negative__zless,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__minus,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_equation__minus__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 91.92/92.02 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__equation__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 91.92/92.02 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__equal__iff__equal,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 91.92/92.02 <=> V_a_2 = V_b_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_fun__Compl__def,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ouminus(T_b)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_double__compl,axiom,
% 91.92/92.02 ! [V_x,T_a] :
% 91.92/92.02 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_uminus__apply,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ouminus(T_b)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_compl__eq__compl__iff,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Lattices_Oboolean__algebra(T_b)
% 91.92/92.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 91.92/92.02 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zminus__zminus,axiom,
% 91.92/92.02 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 91.92/92.02
% 91.92/92.02 fof(fact_arith__simps_I30_J,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_number__of__minus,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__number__of__mult,axiom,
% 91.92/92.02 ! [V_z,V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_compl__le__compl__iff,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Lattices_Oboolean__algebra(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_compl__mono,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__minus__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__le__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__le__iff__le,axiom,
% 91.92/92.02 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__imp__neg__le,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__zero,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__0__equal__iff__equal,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 91.92/92.02 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_equal__neg__zero,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 91.92/92.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__equal__0__iff__equal,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__equal__zero,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 91.92/92.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__minus__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__less__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__less__iff__less,axiom,
% 91.92/92.02 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__add__distrib,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Oab__group__add(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__add,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__minus__cancel,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__add__cancel,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_square__eq__iff,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Oidom(T_b)
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> ( V_a_2 = V_b_2
% 91.92/92.02 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__mult__minus,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__mult__commute,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__mult__left,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__mult__right,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__diff__eq,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Oab__group__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__less,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__add1__eq,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__minus__eq,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__minus__cong,axiom,
% 91.92/92.02 ! [V_a_H,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Divides_Oring__div(T_a)
% 91.92/92.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__less__eq__dividend,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zminus__0,axiom,
% 91.92/92.02 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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__distrib2,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__distrib,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__Pls,axiom,
% 91.92/92.02 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zminus__zadd__distrib,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__numeral__code_I5_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__Bit0,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult__zminus,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus2,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus__zminus,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zminus__zmod,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zminus2,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zminus__zminus,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__0__le__iff__le,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__minus__self__iff,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__le__0__iff__le,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__le__self__iff,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__minus__self__iff,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__0__less__iff__less,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__less__0__iff__less,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__less__nonneg,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_right__minus,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_b)
% 91.92/92.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 91.92/92.02 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_left__minus,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ab__left__minus,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Oab__group__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__unique,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__0,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Rings_Ocomm__ring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__minus__eq__add,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ab__diff__minus,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Oab__group__add(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__def,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Groups_Ogroup__add(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 91.92/92.02 ! [V_x,T_a] :
% 91.92/92.02 ( class_Rings_Ocomm__ring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_square__eq__1__iff,axiom,
% 91.92/92.02 ! [V_x_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 91.92/92.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.02 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.02 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__Suc,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.02 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__1,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__less__divisor,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__eq__0__iff,axiom,
% 91.92/92.02 ! [V_d_2,V_m_2] :
% 91.92/92.02 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__if,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__geq,axiom,
% 91.92/92.02 ! [V_n,V_m] :
% 91.92/92.02 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__rec__0,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self3,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mult1__eq,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult2__eq,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__rec__Suc,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_le__mod__geq,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Omod__div__equality_H,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__div__cancel,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mod__equality_H,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zadd__zminus__inverse2,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negative__eq__positive,axiom,
% 91.92/92.02 ! [V_m_2,V_na_2] :
% 91.92/92.02 ( 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)
% 91.92/92.02 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__int,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__int__zless__negative,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus1__not__zero,axiom,
% 91.92/92.02 ! [V_l,V_k] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus2__not__zero,axiom,
% 91.92/92.02 ! [V_l,V_k] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__int__def,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__int__def__symmetric,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Ints__minus,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Int_OMin__def,axiom,
% 91.92/92.02 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__Min,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__Bit1,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__minus,axiom,
% 91.92/92.02 ! [V_n,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__le__divisor,axiom,
% 91.92/92.02 ! [V_m,V_n] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__mult__self4,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__minus1__right,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mult__minus1,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_arith__simps_I31_J,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_number__of__Min,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__number__of__eq,axiom,
% 91.92/92.02 ! [V_w,V_v,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__zle__neg,axiom,
% 91.92/92.02 ! [V_m_2,V_na_2] :
% 91.92/92.02 ( 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))))
% 91.92/92.02 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negative__zle__0,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__zminus__int,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__numeral__code_I6_J,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_minus__Min,axiom,
% 91.92/92.02 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus2__eq__if,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmod__zminus1__eq__if,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_neg__zminus__int,axiom,
% 91.92/92.02 ! [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))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__minus1__right,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__lemma,axiom,
% 91.92/92.02 ! [V_q,V_b,V_r,V_c] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__mod,axiom,
% 91.92/92.02 ! [V_k_2,V_na_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 91.92/92.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 91.92/92.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.02 => ! [B_i,B_j] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 91.92/92.02 => ( 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)
% 91.92/92.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_add__number__of__diff2,axiom,
% 91.92/92.02 ! [V_w,V_c,V_v,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__times__mod__eq,axiom,
% 91.92/92.02 ! [V_m,V_k] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mod__distrib,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_number__of__pred,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__zle__0__negative,axiom,
% 91.92/92.02 ! [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))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negative__zless__0,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod2__Suc__Suc,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__minus,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__mult__distrib__neg,axiom,
% 91.92/92.02 ! [V_z_H,V_z] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zminus1__eq__if,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zdiv__zminus2__eq__if,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power2__eq__1__iff,axiom,
% 91.92/92.02 ! [V_a_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.02 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__minus__even,axiom,
% 91.92/92.02 ! [V_n,V_a,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__special_I1_J,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_diff__special_I2_J,axiom,
% 91.92/92.02 ! [V_v,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod__nat__number__of,axiom,
% 91.92/92.02 ! [V_v_H,V_v] :
% 91.92/92.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 91.92/92.02 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 91.92/92.02 => 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))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_code__numeral_Osize_I3_J,axiom,
% 91.92/92.02 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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mod2__gr__0,axiom,
% 91.92/92.02 ! [V_m_2] :
% 91.92/92.02 ( 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))))))
% 91.92/92.02 <=> 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__minus1__even,axiom,
% 91.92/92.02 ! [V_n,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_power__minus1__odd,axiom,
% 91.92/92.02 ! [V_n,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__of__code,axiom,
% 91.92/92.02 ! [V_k] :
% 91.92/92.02 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.02 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.02 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.02 => ( ( 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)
% 91.92/92.02 => 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)))))) )
% 91.92/92.02 & ( 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)
% 91.92/92.02 => 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)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__special_I2_J,axiom,
% 91.92/92.02 ! [V_y_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 91.92/92.02 <=> 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__special_I4_J,axiom,
% 91.92/92.02 ! [V_x_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.02 <=> 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))))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_z3div__def,axiom,
% 91.92/92.02 ! [V_k,V_l] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.02 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_z3mod__def,axiom,
% 91.92/92.02 ! [V_k,V_l] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.02 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__special_I3_J,axiom,
% 91.92/92.02 ! [V_x_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 <=> 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ComplI,axiom,
% 91.92/92.02 ! [V_A_2,V_c_2,T_b] :
% 91.92/92.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ComplE,axiom,
% 91.92/92.02 ! [V_A_2,V_c_2,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_ComplD,axiom,
% 91.92/92.02 ! [V_A_2,V_c_2,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Compl__iff,axiom,
% 91.92/92.02 ! [V_A_2,V_c_2,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Compl__anti__mono,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Compl__subset__Compl__iff,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_iszero__0,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.02 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_iszero__def,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.02 => ( c_Int_Oiszero(T_b,V_z_2)
% 91.92/92.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__iszero__1,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Osemiring__1(T_a)
% 91.92/92.02 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_subset__Compl__self__eq,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_iszero__Numeral0,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_iszero__number__of__Bit1,axiom,
% 91.92/92.02 ! [V_w,T_a] :
% 91.92/92.02 ( ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 & class_Int_Oring__char__0(T_a) )
% 91.92/92.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_iszero__number__of__Bit0,axiom,
% 91.92/92.02 ! [V_w_2,T_b] :
% 91.92/92.02 ( ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 & class_Int_Oring__char__0(T_b) )
% 91.92/92.02 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 91.92/92.02 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nonzero__number__of__Min,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_not__iszero__Numeral1,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__number__of__eq,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 91.92/92.02 <=> 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_eq__special_I1_J,axiom,
% 91.92/92.02 ! [V_y_2,T_b] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_b)
% 91.92/92.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 91.92/92.02 <=> 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.02 <=> 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.02 <=> 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__number__of__Suc,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__Suc__number__of,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_card__greaterThanLessThan__int,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__of__nat,axiom,
% 91.92/92.02 ! [V_k,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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)))) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_finite__greaterThanLessThan__int,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_double__complement,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Compl__eq__Compl__iff,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( 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)
% 91.92/92.02 <=> V_A_2 = V_B_2 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf_Oidem,axiom,
% 91.92/92.02 ! [V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf_Ocommute,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__commute,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 91.92/92.02 ! [V_b,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__left__idem,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 91.92/92.02 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__left__commute,axiom,
% 91.92/92.02 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf_Oassoc,axiom,
% 91.92/92.02 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__assoc,axiom,
% 91.92/92.02 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__eq__iff,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2,T_b] :
% 91.92/92.02 ( class_Int_Oring__char__0(T_b)
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> V_w_2 = V_z_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__le1,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__le2,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__iff__inf,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.02 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__inf__iff,axiom,
% 91.92/92.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__infI1,axiom,
% 91.92/92.02 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__infI2,axiom,
% 91.92/92.02 ! [V_a,V_x,V_b,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__absorb1,axiom,
% 91.92/92.02 ! [V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.02 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__absorb2,axiom,
% 91.92/92.02 ! [V_x,V_y,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.02 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__infI,axiom,
% 91.92/92.02 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__greatest,axiom,
% 91.92/92.02 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oinf__mono,axiom,
% 91.92/92.02 ! [V_d,V_b,V_c,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ole__infE,axiom,
% 91.92/92.02 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.02 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__le__iff__disj,axiom,
% 91.92/92.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 91.92/92.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oless__infI2,axiom,
% 91.92/92.02 ! [V_a,V_x,V_b,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Oless__infI1,axiom,
% 91.92/92.02 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__less__iff__conj,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__less__iff__disj,axiom,
% 91.92/92.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 91.92/92.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__add__distrib__left,axiom,
% 91.92/92.02 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.02 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__diff__distrib__left,axiom,
% 91.92/92.02 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__0L,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__0R,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__Suc__Suc,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__diff,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_number__of__eq,axiom,
% 91.92/92.02 ! [V_k,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__number__of__def,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__int__eq,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 91.92/92.02 ! [T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__number__of,axiom,
% 91.92/92.02 ! [V_v,V_u,T_b] :
% 91.92/92.02 ( ( class_Int_Onumber(T_b)
% 91.92/92.02 & class_Orderings_Oord(T_b) )
% 91.92/92.02 => ( ( 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)))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ 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)))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__eq__0__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Int_Oring__char__0(T_b)
% 91.92/92.02 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__0__eq__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Int_Oring__char__0(T_b)
% 91.92/92.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 91.92/92.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__0,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 91.92/92.02 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__le__iff,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__less__iff,axiom,
% 91.92/92.02 ! [V_z_2,V_w_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__add,axiom,
% 91.92/92.02 ! [V_z,V_w,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__number__of__eq,axiom,
% 91.92/92.02 ! [V_v,T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__mult,axiom,
% 91.92/92.02 ! [V_z,V_w,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__1,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__diff,axiom,
% 91.92/92.02 ! [V_z,V_w,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__of__nat__eq,axiom,
% 91.92/92.02 ! [V_n,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__minus,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Ints__of__int,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1(T_b)
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__power,axiom,
% 91.92/92.02 ! [V_n,V_z,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_nat__set__def,axiom,
% 91.92/92.02 ! [V_S_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_S_2)
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_greaterThanLessThan__empty,axiom,
% 91.92/92.02 ! [V_k_2,V_l_2,T_b] :
% 91.92/92.02 ( class_Orderings_Oorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.02 => ( V_A_2 = V_B_2
% 91.92/92.02 <=> 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__m1,axiom,
% 91.92/92.02 ! [T_a] :
% 91.92/92.02 ( class_Int_Onumber__ring(T_a)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__Suc1,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__Suc2,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__0__le__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__le__0__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__less__0__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__0__less__iff,axiom,
% 91.92/92.02 ! [V_z_2,T_b] :
% 91.92/92.02 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__nat__nat,axiom,
% 91.92/92.02 ! [V_z,T_a] :
% 91.92/92.02 ( class_Rings_Oring__1(T_a)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 91.92/92.02 ! [V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 91.92/92.02 ! [V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 91.92/92.02 <=> 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 91.92/92.02 ! [V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_fold1__antimono,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.02 => 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))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_fold1__strict__below__iff,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> ? [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_strict__below__fold1__iff,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_fold1__below__iff,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( 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))
% 91.92/92.02 <=> ? [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ofold1__belowI,axiom,
% 91.92/92.02 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_finite__greaterThanLessThan,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oidem,axiom,
% 91.92/92.02 ! [V_x,T_a] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_a)
% 91.92/92.02 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_card__greaterThanLessThan,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ofold__inf__insert,axiom,
% 91.92/92.02 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_semilattice__big_OF__eq,axiom,
% 91.92/92.02 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.02 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_dual__max,axiom,
% 91.92/92.02 ! [T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__num,axiom,
% 91.92/92.02 ! [V_k_2,T_b] :
% 91.92/92.02 ( class_Rings_Oring__1(T_b)
% 91.92/92.02 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 91.92/92.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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))))) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__monoid__big_OF__eq,axiom,
% 91.92/92.02 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 91.92/92.02 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.02 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__ord__min,axiom,
% 91.92/92.02 ! [T_b] :
% 91.92/92.02 ( class_Orderings_Oord(T_b)
% 91.92/92.02 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 91.92/92.02 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 91.92/92.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.02 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 91.92/92.02 ! [V_A_2,V_x_2] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 91.92/92.02 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 91.92/92.02 <=> 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__def,axiom,
% 91.92/92.02 ! [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))))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oremove,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => ( ( hAPP(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))
% 91.92/92.02 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 91.92/92.02 & ( hAPP(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))
% 91.92/92.02 => 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)))))) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nitpick_OFrac__def,axiom,
% 91.92/92.02 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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => ( ( hAPP(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))
% 91.92/92.02 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 91.92/92.02 & ( hAPP(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))
% 91.92/92.02 => 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)))))) ) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 91.92/92.02 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 91.92/92.02 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 91.92/92.02 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 91.92/92.02 ! [V_n,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 91.92/92.02 ! [V_y,V_x] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 91.92/92.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Osingleton,axiom,
% 91.92/92.02 ! [V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_is__nat__def,axiom,
% 91.92/92.02 ! [V_x_2] :
% 91.92/92.02 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 91.92/92.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__correct,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min__le,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 91.92/92.02 ! [V_x_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => 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 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2] :
% 91.92/92.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 91.92/92.02 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min__in,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oin__idem,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_OF__eq,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 91.92/92.02 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min__antimono,axiom,
% 91.92/92.02 ! [V_N_2,V_M_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 91.92/92.02 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.02 => 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))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 91.92/92.02 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min__insert,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Osubset__idem,axiom,
% 91.92/92.02 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 91.92/92.02 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 91.92/92.02 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => 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)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ( hAPP(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))
% 91.92/92.02 => 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 )
% 91.92/92.02 & ( hAPP(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))
% 91.92/92.02 => 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)))))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oinsert,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => 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)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oinsert__remove,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ( hAPP(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))
% 91.92/92.02 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 91.92/92.02 & ( hAPP(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))
% 91.92/92.02 => 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)))))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oeq__fold_H,axiom,
% 91.92/92.02 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( ! [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))))))
% 91.92/92.02 => 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)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Min_Oclosed,axiom,
% 91.92/92.02 ! [V_A_2,T_b] :
% 91.92/92.02 ( class_Orderings_Olinorder(T_b)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.02 => ( ! [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))))))
% 91.92/92.02 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult2__lemma,axiom,
% 91.92/92.02 ! [V_c,V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 91.92/92.02 => 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)))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__gen__delta,axiom,
% 91.92/92.02 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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)))) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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)) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_adjust__eq,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__int__setprod,axiom,
% 91.92/92.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 & class_Rings_Oring__1(T_b) )
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_bot__empty__eq2,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,T_c,T_b] :
% 91.92/92.02 ( 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))
% 91.92/92.02 <=> 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pred__equals__eq2,axiom,
% 91.92/92.02 ! [V_S_2,V_R_2,T_c,T_b] :
% 91.92/92.02 ( 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)
% 91.92/92.02 <=> V_R_2 = V_S_2 ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pred__subset__eq2,axiom,
% 91.92/92.02 ! [V_S_2,V_R_2,T_c,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 <=> 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_of__nat__setprod,axiom,
% 91.92/92.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 & class_Rings_Osemiring__1(T_b) )
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_int__setprod,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__timesf,axiom,
% 91.92/92.02 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__1,axiom,
% 91.92/92.02 ! [V_A_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 91.92/92.02 ! [V_A_2,V_f_2,T_b] :
% 91.92/92.02 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.02 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__zero__iff,axiom,
% 91.92/92.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 91.92/92.02 & class_Rings_Ono__zero__divisors(T_c) )
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> ? [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__zero,axiom,
% 91.92/92.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Rings_Ocomm__semiring__1(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ? [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.02 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oempty,axiom,
% 91.92/92.02 ! [V_g_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__empty,axiom,
% 91.92/92.02 ! [V_f_2,T_c,T_b] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__infinite,axiom,
% 91.92/92.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oinfinite,axiom,
% 91.92/92.02 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__eq__1__iff,axiom,
% 91.92/92.02 ! [V_f_2,V_F_2,T_b] :
% 91.92/92.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.02 => ( 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)
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 91.92/92.02 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 91.92/92.02 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.02 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.02 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.02 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Odistrib,axiom,
% 91.92/92.02 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_unique__remainder,axiom,
% 91.92/92.02 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => V_r = V_r_H ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_unique__quotient,axiom,
% 91.92/92.02 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => V_q = V_q_H ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_self__remainder,axiom,
% 91.92/92.02 ! [V_r,V_q,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__0,axiom,
% 91.92/92.02 ! [V_b] :
% 91.92/92.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__pos__nat__iff,axiom,
% 91.92/92.02 ! [V_f_2,V_S_2,T_b] :
% 91.92/92.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 <=> ! [B_x] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__reindex__cong,axiom,
% 91.92/92.02 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_d)
% 91.92/92.02 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.02 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 91.92/92.02 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 91.92/92.02 => 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) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__reindex,axiom,
% 91.92/92.02 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_d)
% 91.92/92.02 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__delta_H,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__delta,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.02 => 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) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__constant,axiom,
% 91.92/92.02 ! [V_y_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_self__quotient,axiom,
% 91.92/92.02 ! [V_r,V_q,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__mod,axiom,
% 91.92/92.02 ! [V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__div,axiom,
% 91.92/92.02 ! [V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod__insert,axiom,
% 91.92/92.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oinsert,axiom,
% 91.92/92.02 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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)) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oreindex,axiom,
% 91.92/92.02 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_OF__eq,axiom,
% 91.92/92.02 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oeq__fold,axiom,
% 91.92/92.02 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__mod__div,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oinsert__remove,axiom,
% 91.92/92.02 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => 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)))))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__rel__div__mod,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_setprod_Oremove,axiom,
% 91.92/92.02 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 91.92/92.02 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.02 => 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)))))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zadd1__lemma,axiom,
% 91.92/92.02 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( 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)))
% 91.92/92.02 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zminus1__lemma,axiom,
% 91.92/92.02 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => 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))))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_divmod__int__relI,axiom,
% 91.92/92.02 ! [V_r,V_q,V_b,V_a] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 91.92/92.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_zmult1__lemma,axiom,
% 91.92/92.02 ! [V_a,V_r,V_q,V_c,V_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 => 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)))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_adjust__def,axiom,
% 91.92/92.02 ! [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))))))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_pair__imageI,axiom,
% 91.92/92.02 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.02 ( 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))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_norm__frac_Osimps,axiom,
% 91.92/92.02 ! [V_a_2,V_b_2] :
% 91.92/92.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.02 => 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))) ) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 91.92/92.02 ! [V_w] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( ( 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))))
% 91.92/92.02 => 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))) )
% 91.92/92.02 & ( ~ 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))))
% 91.92/92.02 => 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)))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_prod__caseI,axiom,
% 91.92/92.02 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_splitI,axiom,
% 91.92/92.02 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 91.92/92.02 => 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))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_mem__splitI,axiom,
% 91.92/92.02 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 91.92/92.02 => 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)))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_bot2E,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_swap__inj__on,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_splitD_H,axiom,
% 91.92/92.02 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 91.92/92.02 ( 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))
% 91.92/92.02 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_less__by__empty,axiom,
% 91.92/92.02 ! [V_B_2,T_b,V_A_2] :
% 91.92/92.02 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 91.92/92.02 => 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_rev__predicate2D,axiom,
% 91.92/92.02 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 91.92/92.02 => ( 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))
% 91.92/92.02 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_predicate2D,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 91.92/92.02 ( 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))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 91.92/92.02 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__paired__All,axiom,
% 91.92/92.02 ! [T_c,T_b,V_Pa_2] :
% 91.92/92.02 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.02 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Pair__eq,axiom,
% 91.92/92.02 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.02 ( 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)
% 91.92/92.02 <=> ( V_a_2 = V_a_H_2
% 91.92/92.02 & V_b_2 = V_b_H_2 ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Pair__inject,axiom,
% 91.92/92.02 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 91.92/92.02 ( 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)
% 91.92/92.02 => ~ ( V_a = V_a_H
% 91.92/92.02 => V_b != V_b_H ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__weak__cong,axiom,
% 91.92/92.02 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 91.92/92.02 ( V_p_2 = V_q_2
% 91.92/92.02 => 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) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__correct,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__twice,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__conv,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_prod_Osimps_I2_J,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_splitD,axiom,
% 91.92/92.02 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__div__mod,axiom,
% 91.92/92.02 ! [V_l,V_k] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.02 => 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)) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__minus1,axiom,
% 91.92/92.02 ! [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))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__eta,axiom,
% 91.92/92.02 ! [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 ).
% 91.92/92.02
% 91.92/92.02 fof(fact_The__split__eq,axiom,
% 91.92/92.02 ! [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) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_split__paired__The,axiom,
% 91.92/92.02 ! [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)))) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg_Osimps,axiom,
% 91.92/92.02 ! [V_b,V_a] :
% 91.92/92.02 ( ( ( 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)))
% 91.92/92.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ ( 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)))
% 91.92/92.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.02 => 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))) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__eqn__number__of,axiom,
% 91.92/92.02 ! [V_w,V_v] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( ( 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))))
% 91.92/92.02 => 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))) )
% 91.92/92.02 & ( ~ 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))))
% 91.92/92.02 => 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)))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_negDivAlg__eqn,axiom,
% 91.92/92.02 ! [V_a,V_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.02 => ( ( 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)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ 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)))
% 91.92/92.02 => 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))) ) ) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_in__rel__def,axiom,
% 91.92/92.02 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 91.92/92.02 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 91.92/92.02 <=> 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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_div__mod__code__numeral__def,axiom,
% 91.92/92.02 ! [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)) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_Nitpick_Orefl_H__def,axiom,
% 91.92/92.02 ! [V_r_2,T_b] :
% 91.92/92.02 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 91.92/92.02 <=> ! [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)) ) ).
% 91.92/92.02
% 91.92/92.02 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 91.92/92.02 ! [V_w] :
% 91.92/92.02 ( 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)))
% 91.92/92.02 => ( ( 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)))
% 91.92/92.02 => 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)) )
% 91.92/92.02 & ( ~ 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)))
% 91.92/92.03 => 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)))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg_Osimps,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg__0,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg__correct,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg__div__mod,axiom,
% 91.92/92.03 ! [V_l,V_k] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg__eqn,axiom,
% 91.92/92.03 ! [V_a,V_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg__eqn__number__of,axiom,
% 91.92/92.03 ! [V_w,V_v] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => 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)))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__int__def,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.03 => 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))) ) ) ) ) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__step,axiom,
% 91.92/92.03 ! [V_m,V_n] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_negDivAlg_Opsimps,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( ( 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)))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ ( 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)))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 91.92/92.03 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.03 ( ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg_Opsimps,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_accp__downward,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 91.92/92.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_accp_Oequations,axiom,
% 91.92/92.03 ! [V_a_2,V_r_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 91.92/92.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_accp_Osimps,axiom,
% 91.92/92.03 ! [V_a_2,V_r_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 91.92/92.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__zero,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_accp__subset,axiom,
% 91.92/92.03 ! [V_R2_2,V_R1_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__base,axiom,
% 91.92/92.03 ! [V_n,V_m] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_negateSnd__eq,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__div__mod,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__int__rel__neg,axiom,
% 91.92/92.03 ! [V_qr,V_b,V_a] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__if,axiom,
% 91.92/92.03 ! [V_m_2,V_na_2] :
% 91.92/92.03 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_norm__frac_Opsimps,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.03 => 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))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_negDivAlg_Opinduct,axiom,
% 91.92/92.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ! [B_a,B_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( ~ ( 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)))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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))) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_posDivAlg_Opinduct,axiom,
% 91.92/92.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ! [B_a,B_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 91.92/92.03 => 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))) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 91.92/92.03 ! [V_a,V_r,V_q,V_c,V_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 91.92/92.03 => 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)))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 91.92/92.03 ! [V_c,V_r,V_q,V_b,V_a] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 91.92/92.03 => 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)))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__unique,axiom,
% 91.92/92.03 ! [V_qr_H,V_qr,V_n,V_m] :
% 91.92/92.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 91.92/92.03 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 91.92/92.03 => V_qr = V_qr_H ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 91.92/92.03 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__eq,axiom,
% 91.92/92.03 ! [V_qr,V_n,V_m] :
% 91.92/92.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 91.92/92.03 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__eq,axiom,
% 91.92/92.03 ! [V_r,V_q,V_n,V_m] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__eq,axiom,
% 91.92/92.03 ! [V_r,V_q,V_n,V_m] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 91.92/92.03 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 91.92/92.03 => 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)))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__pos__neg__1__number__of,axiom,
% 91.92/92.03 ! [V_w] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => 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))))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_in__measure,axiom,
% 91.92/92.03 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_norm__frac_Opinduct,axiom,
% 91.92/92.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ! [B_a,B_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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))) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__pos__neg__1__number__of,axiom,
% 91.92/92.03 ! [V_w] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => 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))))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__neg__neg,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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)))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_split__comp,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_split__beta,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_prod__case__beta,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_split__comp__eq,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_split__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_prod__eqI,axiom,
% 91.92/92.03 ! [V_q,V_p,T_b,T_a] :
% 91.92/92.03 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 91.92/92.03 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 91.92/92.03 => V_p = V_q ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pair__fst__snd__eq,axiom,
% 91.92/92.03 ! [T_c,T_b,V_t_2,V_s_2] :
% 91.92/92.03 ( V_s_2 = V_t_2
% 91.92/92.03 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 91.92/92.03 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_surjective__pairing,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__collapse,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fst__eqD,axiom,
% 91.92/92.03 ! [V_a,V_y,V_x,T_b,T_a] :
% 91.92/92.03 ( 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
% 91.92/92.03 => V_x = V_a ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fst__conv,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_snd__eqD,axiom,
% 91.92/92.03 ! [V_a,V_y,V_x,T_a,T_b] :
% 91.92/92.03 ( 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
% 91.92/92.03 => V_y = V_a ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_snd__conv,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_The__split,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fst__def,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_snd__def,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__int__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__int__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__neg__pos,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__neg__pos,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__pos__pos,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__pos__pos,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__pos__pos__1__number__of,axiom,
% 91.92/92.03 ! [V_w] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__pos__pos__1__number__of,axiom,
% 91.92/92.03 ! [V_w] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__pos__neg,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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)))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__pos__neg,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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)))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__neg__neg,axiom,
% 91.92/92.03 ! [V_b,V_a] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => 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)))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_prod__size__simp,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_conjI__realizer,axiom,
% 91.92/92.03 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 91.92/92.03 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 91.92/92.03 => ( 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))))
% 91.92/92.03 & 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)))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_exI__realizer,axiom,
% 91.92/92.03 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 91.92/92.03 => 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)))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mlex__leq,axiom,
% 91.92/92.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mlex__less,axiom,
% 91.92/92.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_div__nat__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mod__nat__def,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divmod__nat__rel__def,axiom,
% 91.92/92.03 ! [V_qr_2,V_na_2,V_m_2] :
% 91.92/92.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 91.92/92.03 <=> ( 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))
% 91.92/92.03 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.03 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.03 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 & 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)) ) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 & 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))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_prod_Orecs,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_in__lex__prod,axiom,
% 91.92/92.03 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> ( 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))
% 91.92/92.03 | ( V_a_2 = V_a_H_2
% 91.92/92.03 & 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_in__finite__psubset,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_setprod__diff1,axiom,
% 91.92/92.03 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( class_Fields_Ofield(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__number__of__Suc,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__inf__absorb,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 91.92/92.03 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 91.92/92.03 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__add__distrib__left,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_diff__divide__distrib,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__1,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__diff__distrib__left,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Groups_Oordered__ab__group__add(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__assoc,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup_Oassoc,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__left__commute,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 91.92/92.03 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__left__idem,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__commute,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup_Ocommute,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup_Oidem,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_times__divide__eq__right,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add__divide__distrib,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oless__supI2,axiom,
% 91.92/92.03 ! [V_a,V_b,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oless__supI1,axiom,
% 91.92/92.03 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__max__iff__disj,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__less__iff__conj,axiom,
% 91.92/92.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__zero,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__zero__left,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oidem,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_power__divide,axiom,
% 91.92/92.03 ! [V_n,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__Suc__Suc,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__0L,axiom,
% 91.92/92.03 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__0R,axiom,
% 91.92/92.03 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__divide__left,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__max__iff__disj,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__supE,axiom,
% 91.92/92.03 ! [V_x,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__mono,axiom,
% 91.92/92.03 ! [V_d,V_b,V_c,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__least,axiom,
% 91.92/92.03 ! [V_z,V_x,V_y,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__supI,axiom,
% 91.92/92.03 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__absorb1,axiom,
% 91.92/92.03 ! [V_x,V_y,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__absorb2,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__supI2,axiom,
% 91.92/92.03 ! [V_a,V_b,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__supI1,axiom,
% 91.92/92.03 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__sup__iff,axiom,
% 91.92/92.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ole__iff__sup,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.03 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__maxI2,axiom,
% 91.92/92.03 ! [V_x,V_y,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__maxI1,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 91.92/92.03 ! [T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nonzero__eq__divide__eq,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_b)
% 91.92/92.03 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 91.92/92.03 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nonzero__divide__eq__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_b)
% 91.92/92.03 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 91.92/92.03 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__eq__imp,axiom,
% 91.92/92.03 ! [V_a,V_b,V_c,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 91.92/92.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_eq__divide__imp,axiom,
% 91.92/92.03 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 91.92/92.03 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__self__if,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 91.92/92.03 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 91.92/92.03 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__self,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_right__inverse__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_b)
% 91.92/92.03 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.03 <=> V_a_2 = V_b_2 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__number__of,axiom,
% 91.92/92.03 ! [V_v,V_u,T_b] :
% 91.92/92.03 ( ( class_Int_Onumber(T_b)
% 91.92/92.03 & class_Orderings_Oord(T_b) )
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nonzero__minus__divide__right,axiom,
% 91.92/92.03 ! [V_a,V_b,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nonzero__minus__divide__divide,axiom,
% 91.92/92.03 ! [V_a,V_b,T_a] :
% 91.92/92.03 ( class_Rings_Odivision__ring(T_a)
% 91.92/92.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nonzero__power__divide,axiom,
% 91.92/92.03 ! [V_n,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Odistrib__sup__le,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Odistrib__inf__le,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_a)
% 91.92/92.03 => 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)))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_power__one__over,axiom,
% 91.92/92.03 ! [V_n,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__min__eq__max,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Groups_Olinordered__ab__group__add(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__max__eq__min,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Groups_Olinordered__ab__group__add(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nat__minus__add__max,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_setprod__dividef,axiom,
% 91.92/92.03 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_eq__divide__eq__number__of1,axiom,
% 91.92/92.03 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_eq__divide__eq__number__of,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__eq__eq__number__of,axiom,
% 91.92/92.03 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => 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) )
% 91.92/92.03 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__eq__eq__number__of1,axiom,
% 91.92/92.03 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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
% 91.92/92.03 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__Numeral0,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__Suc1,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__Suc2,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__numeral__1,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( ( class_Fields_Ofield(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__Numeral1,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( ( class_Fields_Ofield(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__minus1,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__ord__max,axiom,
% 91.92/92.03 ! [T_b] :
% 91.92/92.03 ( class_Orderings_Oord(T_b)
% 91.92/92.03 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Ofold__sup__insert,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_dual__min,axiom,
% 91.92/92.03 ! [T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__divide__eq__number__of1,axiom,
% 91.92/92.03 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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))))
% 91.92/92.03 <=> ( ( 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)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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)))) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__divide__eq__number__of,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__less__eq__number__of,axiom,
% 91.92/92.03 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__less__eq__number__of1,axiom,
% 91.92/92.03 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( ( 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)))
% 91.92/92.03 => 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)))) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_power__diff,axiom,
% 91.92/92.03 ! [V_m,V_n,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus1__divide,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 91.92/92.03 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__le__eq__number__of1,axiom,
% 91.92/92.03 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( ( 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)))
% 91.92/92.03 => 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)))) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__le__eq__number__of,axiom,
% 91.92/92.03 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__divide__eq__number__of,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__divide__eq__number__of1,axiom,
% 91.92/92.03 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber(T_b) )
% 91.92/92.03 => ( 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))))
% 91.92/92.03 <=> ( ( 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)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => ( ( 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)))
% 91.92/92.03 => 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)))) )
% 91.92/92.03 & ( ~ 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)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_half__gt__zero__iff,axiom,
% 91.92/92.03 ! [V_r_2,T_b] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 & class_Int_Onumber__ring(T_b) )
% 91.92/92.03 => ( 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))))))
% 91.92/92.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_half__gt__zero,axiom,
% 91.92/92.03 ! [V_r,T_a] :
% 91.92/92.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.03 & class_Int_Onumber__ring(T_a) )
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 91.92/92.03 => 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)))))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__Suc__number__of,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__left__mono__neg,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__left__mono,axiom,
% 91.92/92.03 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_neg__divide__le__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_neg__le__divide__eq,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__imp__le__div__pos,axiom,
% 91.92/92.03 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_times__divide__times__eq,axiom,
% 91.92/92.03 ! [V_w,V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__divide__right,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__divide__divide,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_zero__le__divide__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__le__0__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__right__mono,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__right__mono__neg,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__strict__right__mono__neg,axiom,
% 91.92/92.03 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__strict__right__mono,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__neg__neg,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__neg__pos,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__pos__neg,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__pos__pos,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__less__0__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_zero__less__divide__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_frac__eq__eq,axiom,
% 91.92/92.03 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 91.92/92.03 ( class_Fields_Ofield(T_b)
% 91.92/92.03 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__divide__mult__cancel__left,axiom,
% 91.92/92.03 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__divide__mult__cancel__right,axiom,
% 91.92/92.03 ! [V_b,V_a,V_c,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__eq__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 91.92/92.03 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 91.92/92.03 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_eq__divide__eq,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_b)
% 91.92/92.03 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 91.92/92.03 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 91.92/92.03 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.03 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__nonneg__pos,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__nonneg__neg,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_frac__less2,axiom,
% 91.92/92.03 ! [V_z,V_w,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 91.92/92.03 => 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))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_frac__less,axiom,
% 91.92/92.03 ! [V_z,V_w,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 91.92/92.03 => 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))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_frac__le,axiom,
% 91.92/92.03 ! [V_z,V_w,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 91.92/92.03 => 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))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__nonpos__pos,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__nonpos__neg,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__strict__left__mono__neg,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__strict__left__mono,axiom,
% 91.92/92.03 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_neg__divide__less__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_neg__less__divide__eq,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__imp__less__div__pos,axiom,
% 91.92/92.03 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__imp__div__pos__less,axiom,
% 91.92/92.03 ! [V_z,V_x,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pos__divide__less__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pos__less__divide__eq,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__less__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__divide__eq,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add__num__frac,axiom,
% 91.92/92.03 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add__divide__eq__iff,axiom,
% 91.92/92.03 ! [V_y,V_x,V_z,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add__frac__num,axiom,
% 91.92/92.03 ! [V_z,V_x,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 91.92/92.03 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__add__eq__iff,axiom,
% 91.92/92.03 ! [V_y,V_x,V_z,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add__frac__eq,axiom,
% 91.92/92.03 ! [V_w,V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_diff__frac__eq,axiom,
% 91.92/92.03 ! [V_w,V_x,V_z,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__diff__eq__iff,axiom,
% 91.92/92.03 ! [V_y,V_x,V_z,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_diff__divide__eq__iff,axiom,
% 91.92/92.03 ! [V_y,V_x,V_z,T_a] :
% 91.92/92.03 ( class_Fields_Ofield(T_a)
% 91.92/92.03 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_gt__half__sum,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__half__sum,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 91.92/92.03 => 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))))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__divide__eq,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_divide__le__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pos__le__divide__eq,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pos__divide__le__eq,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult__imp__div__pos__le,axiom,
% 91.92/92.03 ! [V_z,V_x,V_y,T_a] :
% 91.92/92.03 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_same__fstI,axiom,
% 91.92/92.03 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oremove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OInf__le__Sup,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__lessI2,axiom,
% 91.92/92.03 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Osingleton,axiom,
% 91.92/92.03 ! [V_x_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max__ge,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 91.92/92.03 ! [V_x_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max__in,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oin__idem,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_OF__eq,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 91.92/92.03 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__lessI1,axiom,
% 91.92/92.03 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max__mono,axiom,
% 91.92/92.03 ! [V_N_2,V_M_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 91.92/92.03 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 91.92/92.03 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max__insert,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Osubset__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 91.92/92.03 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oinsert,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oinsert__remove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oeq__fold_H,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__Max__eq__Min,axiom,
% 91.92/92.03 ! [V_S_2,T_b] :
% 91.92/92.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__Min__eq__Max,axiom,
% 91.92/92.03 ! [V_S_2,T_b] :
% 91.92/92.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__leqI2,axiom,
% 91.92/92.03 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_smin__insertI,axiom,
% 91.92/92.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_smax__insertI,axiom,
% 91.92/92.03 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__leqI1,axiom,
% 91.92/92.03 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( ! [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))))))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_smax__emptyI,axiom,
% 91.92/92.03 ! [V_Y_2] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 91.92/92.03 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_smin__emptyI,axiom,
% 91.92/92.03 ! [V_X_2] :
% 91.92/92.03 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_wmax__insertI,axiom,
% 91.92/92.03 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_wmin__insertI,axiom,
% 91.92/92.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Oclosed,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( ! [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))))))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_wmax__emptyI,axiom,
% 91.92/92.03 ! [V_X_2] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_wmin__emptyI,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__rpair__set,axiom,
% 91.92/92.03 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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__rpair__set,axiom,
% 91.92/92.03 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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__strict__def,axiom,
% 91.92/92.03 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__than__iff,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_intrel__iff,axiom,
% 91.92/92.03 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_pair__less__def,axiom,
% 91.92/92.03 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mlex__prod__def,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__weak__def,axiom,
% 91.92/92.03 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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_rp__inv__image__rp,axiom,
% 91.92/92.03 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 91.92/92.03 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 91.92/92.03 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 91.92/92.03 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( ! [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))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 91.92/92.03 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( ! [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))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup1CI,axiom,
% 91.92/92.03 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 91.92/92.03 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 91.92/92.03 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup1E,axiom,
% 91.92/92.03 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 91.92/92.03 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UnCI,axiom,
% 91.92/92.03 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 91.92/92.03 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UnE,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UnI2,axiom,
% 91.92/92.03 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UnI1,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__iff,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__insert__left,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__insert__right,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__max,axiom,
% 91.92/92.03 ! [T_b] :
% 91.92/92.03 ( ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 & class_Orderings_Olinorder(T_b) )
% 91.92/92.03 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__Diff__cancel,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__Diff__cancel2,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__Diff,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__fun__def,axiom,
% 91.92/92.03 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__Un,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__apply,axiom,
% 91.92/92.03 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__assoc,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__aci_I6_J,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup_Oassoc,axiom,
% 91.92/92.03 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__left__commute,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__aci_I7_J,axiom,
% 91.92/92.03 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup_Oleft__commute,axiom,
% 91.92/92.03 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__left__idem,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__aci_I8_J,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup_Oleft__idem,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__commute,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__aci_I5_J,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup_Ocommute,axiom,
% 91.92/92.03 ! [V_b,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__idem,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup_Oidem,axiom,
% 91.92/92.03 ! [V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup1I2,axiom,
% 91.92/92.03 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 91.92/92.03 ( hBOOL(hAPP(V_B_2,V_x_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup1I1,axiom,
% 91.92/92.03 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 91.92/92.03 ( hBOOL(hAPP(V_A_2,V_x_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ball__Un,axiom,
% 91.92/92.03 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.03 <=> ( ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.03 & ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_bex__Un,axiom,
% 91.92/92.03 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( ? [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.03 <=> ( ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.03 | ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__assoc,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__left__commute,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__left__absorb,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__commute,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__absorb,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__supI2,axiom,
% 91.92/92.03 ! [V_a,V_b,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__supI1,axiom,
% 91.92/92.03 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oidem,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__supE,axiom,
% 91.92/92.03 ! [V_x,V_b,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__mono,axiom,
% 91.92/92.03 ! [V_d,V_b,V_c,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__least,axiom,
% 91.92/92.03 ! [V_z,V_x,V_y,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__supI,axiom,
% 91.92/92.03 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__absorb1,axiom,
% 91.92/92.03 ! [V_x,V_y,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__absorb2,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__supI2,axiom,
% 91.92/92.03 ! [V_a,V_b,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__supI1,axiom,
% 91.92/92.03 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__sup__iff,axiom,
% 91.92/92.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__iff__sup,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.03 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__ge2,axiom,
% 91.92/92.03 ! [V_x,V_y,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__ord_I4_J,axiom,
% 91.92/92.03 ! [V_x,V_y,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__ge1,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inf__sup__ord_I3_J,axiom,
% 91.92/92.03 ! [V_y,V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Olattice(T_a)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__upper1,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__upper2,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_subset__Un__eq,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__absorb1,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__absorb2,axiom,
% 91.92/92.03 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__least,axiom,
% 91.92/92.03 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__mono,axiom,
% 91.92/92.03 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__bot__left,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Obounded__lattice__bot(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__bot__right,axiom,
% 91.92/92.03 ! [V_x,T_a] :
% 91.92/92.03 ( class_Lattices_Obounded__lattice__bot(T_a)
% 91.92/92.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__eq__bot__iff,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Lattices_Obounded__lattice__bot(T_b)
% 91.92/92.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 91.92/92.03 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 91.92/92.03 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__UnI,axiom,
% 91.92/92.03 ! [V_G_2,V_F_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__Un,axiom,
% 91.92/92.03 ! [V_G_2,V_F_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__empty,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__empty__right,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__empty__left,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fun__left__comm__idem__sup,axiom,
% 91.92/92.03 ! [T_b] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__Un__eq,axiom,
% 91.92/92.03 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_insert__is__Un,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Diff__subset__conv,axiom,
% 91.92/92.03 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Diff__partition,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> V_A_2 = V_B_2 ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Compl__Diff__eq,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_rp__inv__image__def,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fold__sup__insert,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.03 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_folding__idem_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__le__fold__sup,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_union__fold__insert,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_fold1__Un2,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Min__Un,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max__Un,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__eq__fold__image,axiom,
% 91.92/92.03 ! [V_f_2,T_c,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__weak__def,axiom,
% 91.92/92.03 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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_in__inv__image,axiom,
% 91.92/92.03 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I4_J,axiom,
% 91.92/92.03 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oremove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Max_Ohom__commute,axiom,
% 91.92/92.03 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( ! [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))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__greaterThanAtMost,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__greaterThanAtMost__int,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__nat__def,axiom,
% 91.92/92.03 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2] :
% 91.92/92.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.03 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Osingleton,axiom,
% 91.92/92.03 ! [V_x_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => 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 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2] :
% 91.92/92.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.03 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_greaterThanAtMost__empty,axiom,
% 91.92/92.03 ! [V_k_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 91.92/92.03 ! [V_l_2,V_k_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 91.92/92.03 ! [V_l_2,V_k_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I20_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__greaterThanAtMost,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__Un__eq2,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oin__idem,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_OF__eq,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Osubset__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__greaterThanAtMost__int,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Ounion__idem,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 91.92/92.03 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__strict__def,axiom,
% 91.92/92.03 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I16_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_measure__def,axiom,
% 91.92/92.03 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oinsert,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ( hAPP(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))
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( hAPP(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))
% 91.92/92.03 => 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)))))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__ext__additive,axiom,
% 91.92/92.03 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_max__extp__max__ext__eq,axiom,
% 91.92/92.03 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 91.92/92.03 ( 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)
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_irrefl__def,axiom,
% 91.92/92.03 ! [V_r_2,T_b] :
% 91.92/92.03 ( c_Relation_Oirrefl(T_b,V_r_2)
% 91.92/92.03 <=> ! [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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Field__insert,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Oclosed,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => ( ! [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))))))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup2CI,axiom,
% 91.92/92.03 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 91.92/92.03 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup2E,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup2I2,axiom,
% 91.92/92.03 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup2I1,axiom,
% 91.92/92.03 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Field__empty,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mono__Field,axiom,
% 91.92/92.03 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Field__Un,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__Field,axiom,
% 91.92/92.03 ! [V_r_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 91.92/92.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Min_Ohom__commute,axiom,
% 91.92/92.03 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( ! [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))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_decr__mult__lemma,axiom,
% 91.92/92.03 ! [V_k_2,V_Pa_2,V_d_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.03 => 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)))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Sup__fin_Ohom__commute,axiom,
% 91.92/92.03 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.03 ( class_Lattices_Olattice(T_b)
% 91.92/92.03 => ( ! [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))
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_negD,axiom,
% 91.92/92.03 ! [V_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.03 => ? [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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUPR__fold__sup,axiom,
% 91.92/92.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_incr__mult__lemma,axiom,
% 91.92/92.03 ! [V_k_2,V_Pa_2,V_d_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.03 => 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)))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_strong__setprod__reindex__cong,axiom,
% 91.92/92.03 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.03 ( class_Groups_Ocomm__monoid__mult(T_d)
% 91.92/92.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.03 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 => 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) )
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_setprod__mono__one__right,axiom,
% 91.92/92.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 91.92/92.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP1__I,axiom,
% 91.92/92.03 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP2__I,axiom,
% 91.92/92.03 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__UN,axiom,
% 91.92/92.03 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__o,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_sup__SUPR__fold__sup,axiom,
% 91.92/92.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__eq__UN,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__I,axiom,
% 91.92/92.03 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le__SUPI,axiom,
% 91.92/92.03 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP__subset,axiom,
% 91.92/92.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__UN__flatten,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I9_J,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I9_J,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP1__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP2__iff,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ball__UN,axiom,
% 91.92/92.03 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.03 ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 => ! [B_xa] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__iff,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UNION__empty__conv_I2_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__constant,axiom,
% 91.92/92.03 ! [V_c_2,T_c,T_b,V_A_2] :
% 91.92/92.03 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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 ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__empty2,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UNION__empty__conv_I1_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.03 ( 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)
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__subset__iff,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I10_J,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__UN,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I10_J,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__Un,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__Un__distrib,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP__commute,axiom,
% 91.92/92.03 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUPR__apply,axiom,
% 91.92/92.03 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I6_J,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I6_J,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__insert__distrib,axiom,
% 91.92/92.03 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__upper,axiom,
% 91.92/92.03 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__absorb,axiom,
% 91.92/92.03 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I1_J,axiom,
% 91.92/92.03 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__singleton,axiom,
% 91.92/92.03 ! [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 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I1_J,axiom,
% 91.92/92.03 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP__le__iff,axiom,
% 91.92/92.03 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less__SUP__iff,axiom,
% 91.92/92.03 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 91.92/92.03 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.03 & class_Orderings_Olinorder(T_b) )
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I2_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__extend__simps_I3_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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 )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I2_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__simps_I3_J,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__insert,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SUP__const,axiom,
% 91.92/92.03 ! [V_M_2,T_b,V_A_2,T_c] :
% 91.92/92.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.03 => 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 ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nat__def,axiom,
% 91.92/92.03 ! [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)))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_setprod__mono__one__left,axiom,
% 91.92/92.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 91.92/92.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.03 => 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) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_zero__less__imp__eq__int,axiom,
% 91.92/92.03 ! [V_k] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 91.92/92.03 => ? [B_n] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 91.92/92.03 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__Pow,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_PowI,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__empty,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__bottom,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__top,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Rep__Integ__inject,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2] :
% 91.92/92.03 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 91.92/92.03 <=> V_x_2 = V_y_2 ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Cantors__paradox,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ~ ? [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__not__empty,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__Pow__iff,axiom,
% 91.92/92.03 ! [V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 91.92/92.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__insert,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__iff,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 91.92/92.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_PowD,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Pow__mono,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__Pow__surj,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 91.92/92.03 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 91.92/92.03 => 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) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__Pow__subset,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_UN__Pow__subset,axiom,
% 91.92/92.03 ! [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)))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__Pow__mono,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Powp__Pow__eq,axiom,
% 91.92/92.03 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I19_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_equiv__intrel__iff,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2] :
% 91.92/92.03 ( 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))))
% 91.92/92.03 <=> 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I3_J,axiom,
% 91.92/92.03 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__atLeastLessThan,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__atLeastAtMost,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__atLeastAtMost__int,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__atLeastLessThan__int,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__Un,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I21_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__Suc__atLeastAtMost,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__Suc__atLeastLessThan,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__eq__iff,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ( V_a_2 = V_c_2
% 91.92/92.03 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 91.92/92.03 => V_a_2 = V_c_2 ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 91.92/92.03 => V_b_2 = V_d_2 ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__empty,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__add__atLeastLessThan,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__add__atLeastAtMost,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__UN,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 91.92/92.03 ! [V_na_2,V_m_2] :
% 91.92/92.03 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 91.92/92.03 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan0,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I6_J,axiom,
% 91.92/92.03 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__atLeastLessThan,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__mono,axiom,
% 91.92/92.03 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 91.92/92.03 ( 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))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Un__Image,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2] :
% 91.92/92.03 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 91.92/92.03 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I18_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastatMost__empty__iff2,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastatMost__empty__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastatMost__empty,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastatMost__subset__iff,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__empty,axiom,
% 91.92/92.03 ! [V_a_2,V_b_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__empty__iff,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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))
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)
% 91.92/92.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastAtMost__singleton,axiom,
% 91.92/92.03 ! [V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 91.92/92.03 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( V_a_2 = V_b_2
% 91.92/92.03 & V_b_2 = V_c_2 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastAtMost__singleton_H,axiom,
% 91.92/92.03 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( V_a_2 = V_b_2
% 91.92/92.03 => 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))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__subset__iff,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I17_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__uminus__atLeastAtMost,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__diff,axiom,
% 91.92/92.03 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 91.92/92.03 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_rev__ImageI,axiom,
% 91.92/92.03 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__iff,axiom,
% 91.92/92.03 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.03 & 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__atLeastAtMost,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastAtMostSuc__conv,axiom,
% 91.92/92.03 ! [V_na_2,V_m_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Powp__mono,axiom,
% 91.92/92.03 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__singleton,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__eq__UN,axiom,
% 91.92/92.03 ! [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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastatMost__psubset__iff,axiom,
% 91.92/92.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.03 ( class_Orderings_Oorder(T_b)
% 91.92/92.03 => ( 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)))
% 91.92/92.03 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 91.92/92.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 91.92/92.03 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 91.92/92.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 91.92/92.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThan__add__Un,axiom,
% 91.92/92.03 ! [V_k_2,V_j_2,V_i_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I22_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_subset__card__intvl__is__intvl,axiom,
% 91.92/92.03 ! [V_k_2,V_A_2] :
% 91.92/92.03 ( 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)))))
% 91.92/92.03 => 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__uminus__atLeastLessThan,axiom,
% 91.92/92.03 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__add__int__atLeastLessThan,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__atLeastLessThan__int,axiom,
% 91.92/92.03 ! [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)) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_atLeastLessThanSuc,axiom,
% 91.92/92.03 ! [V_na_2,V_m_2] :
% 91.92/92.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_simp__from__to,axiom,
% 91.92/92.03 ! [V_i_2,V_j_2] :
% 91.92/92.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 91.92/92.03 => 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)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I15_J,axiom,
% 91.92/92.03 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 91.92/92.03 => 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) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Image__singleton__iff,axiom,
% 91.92/92.03 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 91.92/92.03 ( 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))))))
% 91.92/92.03 <=> 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_card__atLeastAtMost__int,axiom,
% 91.92/92.03 ! [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))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 91.92/92.03 ! [V_x_2,V_y_2,V_c_2] :
% 91.92/92.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 91.92/92.03 => 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)) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 91.92/92.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 91.92/92.03 => 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))) )
% 91.92/92.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ivl__disj__un_I5_J,axiom,
% 91.92/92.03 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.03 ( class_Orderings_Olinorder(T_b)
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.03 => 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) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_of__int,axiom,
% 91.92/92.03 ! [V_j_2,V_i_2,T_b] :
% 91.92/92.03 ( class_Rings_Oring__1(T_b)
% 91.92/92.03 => 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)) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_One__int__def,axiom,
% 91.92/92.03 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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_mult,axiom,
% 91.92/92.03 ! [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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_le,axiom,
% 91.92/92.03 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 91.92/92.03 ( 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)))))))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Rep__Integ__inverse,axiom,
% 91.92/92.03 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus,axiom,
% 91.92/92.03 ! [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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_Zero__int__def,axiom,
% 91.92/92.03 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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_int__def,axiom,
% 91.92/92.03 ! [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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_add,axiom,
% 91.92/92.03 ! [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))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_nat,axiom,
% 91.92/92.03 ! [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) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_minus__int__def,axiom,
% 91.92/92.03 ! [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))))))) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_less,axiom,
% 91.92/92.03 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 91.92/92.03 ( 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)))))))
% 91.92/92.03 <=> 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))) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ex__nat__less,axiom,
% 91.92/92.03 ! [V_Pa_2,V_na_2] :
% 91.92/92.03 ( ? [B_m] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_all__nat__less,axiom,
% 91.92/92.03 ! [V_Pa_2,V_na_2] :
% 91.92/92.03 ( ! [B_m] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_all__nat__less__eq,axiom,
% 91.92/92.03 ! [V_Pa_2,V_na_2] :
% 91.92/92.03 ( ! [B_m] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 91.92/92.03 <=> ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_ex__nat__less__eq,axiom,
% 91.92/92.03 ! [V_Pa_2,V_na_2] :
% 91.92/92.03 ( ? [B_m] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 91.92/92.03 <=> ? [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_bset_I8_J,axiom,
% 91.92/92.03 ! [V_B_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( ! [B_xa] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ! [B_xb] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 91.92/92.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 91.92/92.03 => 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))) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_aset_I6_J,axiom,
% 91.92/92.03 ! [V_A_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( ! [B_xa] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ! [B_xb] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 91.92/92.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 91.92/92.03 => 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)) ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_bset_I3_J,axiom,
% 91.92/92.03 ! [V_B_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ! [B_xa] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 91.92/92.03 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 91.92/92.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_aset_I3_J,axiom,
% 91.92/92.03 ! [V_A_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( 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))
% 91.92/92.03 => ( ! [B_x] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ! [B_xa] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 91.92/92.03 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 91.92/92.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_aset_I4_J,axiom,
% 91.92/92.03 ! [V_A_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( ! [B_xa] :
% 91.92/92.03 ( 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)))
% 91.92/92.03 => ! [B_xb] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 91.92/92.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.03 => ( B_x != V_t_2
% 91.92/92.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 91.92/92.03
% 91.92/92.03 fof(fact_bset_I4_J,axiom,
% 91.92/92.03 ! [V_B_2,V_t_2,V_D_2] :
% 91.92/92.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 91.92/92.03 => ! [B_x] :
% 91.92/92.03 ( ! [B_xa] :
% 91.92/92.03 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( B_x != V_t_2
% 91.92/92.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_bset_I7_J,axiom,
% 91.92/92.04 ! [V_B_2,V_t_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 91.92/92.04 => 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))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_aset_I5_J,axiom,
% 91.92/92.04 ! [V_A_2,V_t_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_aset_I8_J,axiom,
% 91.92/92.04 ! [V_t_2,V_A_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_bset_I6_J,axiom,
% 91.92/92.04 ! [V_t_2,V_B_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_eq__Abs__Integ,axiom,
% 91.92/92.04 ! [V_z_2] :
% 91.92/92.04 ~ ! [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))))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_periodic__finite__ex,axiom,
% 91.92/92.04 ! [V_Pa_2,V_d_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 91.92/92.04 => ( ! [B_x,B_k] :
% 91.92/92.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.04 <=> 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)))) )
% 91.92/92.04 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.04 <=> ? [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_bset_I5_J,axiom,
% 91.92/92.04 ! [V_t_2,V_B_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_aset_I7_J,axiom,
% 91.92/92.04 ! [V_t_2,V_A_2,V_D_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 91.92/92.04 => ! [B_x] :
% 91.92/92.04 ( ! [B_xa] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ! [B_xb] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 91.92/92.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 91.92/92.04 ! [V_u_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__on__def,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__lessThan,axiom,
% 91.92/92.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 91.92/92.04 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__lessThan,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__on__def_H,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast0LessThan,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__0,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__Suc,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__iff,axiom,
% 91.92/92.04 ! [V_k_2,V_i_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oord(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__subset__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__strict__subset__iff,axiom,
% 91.92/92.04 ! [V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__on__empty,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_single__Diff__lessThan,axiom,
% 91.92/92.04 ! [V_k_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__on__eqI,axiom,
% 91.92/92.04 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 91.92/92.04 ( V_a_2 = V_b_2
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__on__iff,axiom,
% 91.92/92.04 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> ( V_x_2 = V_y_2
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I8_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_arith__series__int,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_arith__series__nat,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_arith__series__general,axiom,
% 91.92/92.04 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Ocomm__semiring__1(T_b)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__def,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__negf,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__0,axiom,
% 91.92/92.04 ! [V_A_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_of__int__setsum,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Rings_Oring__1(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__commute,axiom,
% 91.92/92.04 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_of__nat__setsum,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_int__setsum,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__subtractf,axiom,
% 91.92/92.04 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__right__distrib,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 91.92/92.04 ( class_Rings_Osemiring__0(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__left__distrib,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Rings_Osemiring__0(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__product,axiom,
% 91.92/92.04 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Rings_Osemiring__0(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__addf,axiom,
% 91.92/92.04 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__divide__distrib,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Fields_Ofield(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__empty,axiom,
% 91.92/92.04 ! [V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oempty,axiom,
% 91.92/92.04 ! [V_g_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oinfinite,axiom,
% 91.92/92.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__infinite,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__empty,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__is__empty2,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( 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)
% 91.92/92.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__is__empty,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__eq__0__iff,axiom,
% 91.92/92.04 ! [V_f_2,V_F_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.04 => ( 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)
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Odistrib,axiom,
% 91.92/92.04 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__eq__setsum,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 91.92/92.04 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 91.92/92.04 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 91.92/92.04 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 91.92/92.04 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__eq__Suc0__iff,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 <=> ? [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.04 & ! [B_xa] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 91.92/92.04 => ( B_x != B_xa
% 91.92/92.04 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__reindex,axiom,
% 91.92/92.04 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 91.92/92.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__eq__1__iff,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( 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)
% 91.92/92.04 <=> ? [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 91.92/92.04 & ! [B_xa] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 91.92/92.04 => ( B_x != B_xa
% 91.92/92.04 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__add__nat__ivl,axiom,
% 91.92/92.04 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff__nat__ivl,axiom,
% 91.92/92.04 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 91.92/92.04 ! [V_k_2,V_f_2] :
% 91.92/92.04 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__delta,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__delta_H,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__constant,axiom,
% 91.92/92.04 ! [V_A_2,V_y_2,T_c,T_b] :
% 91.92/92.04 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__lessThan__Suc,axiom,
% 91.92/92.04 ! [V_na_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__insert,axiom,
% 91.92/92.04 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oinsert,axiom,
% 91.92/92.04 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oreindex,axiom,
% 91.92/92.04 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_OF__eq,axiom,
% 91.92/92.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oeq__fold,axiom,
% 91.92/92.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__diff1,axiom,
% 91.92/92.04 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 91.92/92.04 ( 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)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff__nat,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 91.92/92.04 ! [V_k_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__head__upt__Suc,axiom,
% 91.92/92.04 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__head__Suc,axiom,
% 91.92/92.04 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotientI,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oinsert__remove,axiom,
% 91.92/92.04 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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)))))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff1__nat,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 91.92/92.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__op__ivl__Suc,axiom,
% 91.92/92.04 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__cl__ivl__Suc,axiom,
% 91.92/92.04 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__head,axiom,
% 91.92/92.04 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__ub__add__nat,axiom,
% 91.92/92.04 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => ( 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))))
% 91.92/92.04 => 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)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_singleton__quotient,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Oremove,axiom,
% 91.92/92.04 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => 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)))))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff1_H,axiom,
% 91.92/92.04 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)))))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff1__ring,axiom,
% 91.92/92.04 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Rings_Oring(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__diff1,axiom,
% 91.92/92.04 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__quotient__disjoint,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( 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)
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_geometric__sum,axiom,
% 91.92/92.04 ! [V_na_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Fields_Ofield(T_b)
% 91.92/92.04 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_gauss__sum,axiom,
% 91.92/92.04 ! [V_na_2,T_b] :
% 91.92/92.04 ( class_Rings_Ocomm__semiring__1(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__natinterval__difff,axiom,
% 91.92/92.04 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => 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)))) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.04 ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__mono2,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.04 => ( ! [B_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 91.92/92.04 => 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))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_subset__equiv__class,axiom,
% 91.92/92.04 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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))))))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotientE,axiom,
% 91.92/92.04 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ~ ! [B_x] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_b] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__class__self,axiom,
% 91.92/92.04 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)))))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.04 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__class__eq,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__eqI,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 91.92/92.04 => ( V_X_2 = V_Y_2
% 91.92/92.04 <=> 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_eq__equiv__class__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/92.04 => ( 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))))
% 91.92/92.04 <=> 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_eq__equiv__class,axiom,
% 91.92/92.04 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__class__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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))
% 91.92/92.04 <=> ( 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))))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__class__subset,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)))))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_eq__equiv__class__iff2,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 91.92/92.04 => ( 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)
% 91.92/92.04 <=> 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__equiv__class2,axiom,
% 91.92/92.04 ! [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] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 91.92/92.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 91.92/92.04 => 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) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__equiv__class,axiom,
% 91.92/92.04 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__bounded,axiom,
% 91.92/92.04 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 91.92/92.04 & class_Rings_Osemiring__1(T_c) )
% 91.92/92.04 => ( ! [B_i] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__mono3,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 91.92/92.04 => 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))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_congruent2__implies__congruent,axiom,
% 91.92/92.04 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_congruent2D,axiom,
% 91.92/92.04 ! [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] :
% 91.92/92.04 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 91.92/92.04 => ( 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))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_congruentD,axiom,
% 91.92/92.04 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 91.92/92.04 => ( 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))
% 91.92/92.04 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_congruent2__implies__congruent__UN,axiom,
% 91.92/92.04 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 91.92/92.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__equiv__class__inject,axiom,
% 91.92/92.04 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 91.92/92.04 => ( 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)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => ! [B_y] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 91.92/92.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 91.92/92.04 => 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)) ) ) )
% 91.92/92.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__equiv__class__type2,axiom,
% 91.92/92.04 ! [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] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 91.92/92.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( ! [B_x1] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 91.92/92.04 => ! [B_x2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__equiv__class__type,axiom,
% 91.92/92.04 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__reindex__nonzero,axiom,
% 91.92/92.04 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.04 => ! [B_y] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 91.92/92.04 => ( B_x != B_y
% 91.92/92.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 91.92/92.04 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__class__nondisjoint,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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)))))))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Id__onE,axiom,
% 91.92/92.04 ! [V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 91.92/92.04 => ~ ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__nonneg__0,axiom,
% 91.92/92.04 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 91.92/92.04 => ( ! [B_i] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 91.92/92.04 => ( 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)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 91.92/92.04 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf1E,axiom,
% 91.92/92.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 91.92/92.04 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf1I,axiom,
% 91.92/92.04 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 91.92/92.04 ( hBOOL(hAPP(V_A_2,V_x_2))
% 91.92/92.04 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_IntE,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_IntI,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__Int,axiom,
% 91.92/92.04 ! [V_G_2,V_F_2,T_b] :
% 91.92/92.04 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.04 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__atMost,axiom,
% 91.92/92.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__on__Int,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Int2,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Int__distrib2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__Diff,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Int__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__inf__distrib2,axiom,
% 91.92/92.04 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.04 ( class_Lattices_Odistrib__lattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__distrib2,axiom,
% 91.92/92.04 ! [V_x,V_z,V_y,T_a] :
% 91.92/92.04 ( class_Lattices_Odistrib__lattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__inf__distrib1,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Odistrib__lattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__distrib1,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Odistrib__lattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__inf__absorb,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__absorb,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__Int__crazy,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__Int__distrib2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__Un__distrib2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__Int__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__Un__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I3_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__bot__left,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__bot__right,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_disjoint__iff__not__equal,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => ! [B_xa] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 91.92/92.04 => B_x != B_xa ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__empty__right,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__empty__left,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I1_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__ord_I1_J,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__le1,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__ord_I2_J,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__le2,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__iff__inf,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.04 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__inf__iff,axiom,
% 91.92/92.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__infI1,axiom,
% 91.92/92.04 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__infI2,axiom,
% 91.92/92.04 ! [V_a,V_x,V_b,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__absorb1,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__absorb2,axiom,
% 91.92/92.04 ! [V_x,V_y,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__infI,axiom,
% 91.92/92.04 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__greatest,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__mono,axiom,
% 91.92/92.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__infE,axiom,
% 91.92/92.04 ! [V_b,V_a,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__mono,axiom,
% 91.92/92.04 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__greatest,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__absorb1,axiom,
% 91.92/92.04 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__absorb2,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__lower2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__lower1,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__iff,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_IntD1,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_IntD2,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fun__left__comm__idem__inf,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2] :
% 91.92/92.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__fun__def,axiom,
% 91.92/92.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__apply,axiom,
% 91.92/92.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__assoc,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__aci_I2_J,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf_Oassoc,axiom,
% 91.92/92.04 ! [V_c,V_b,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__left__commute,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__aci_I3_J,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf_Oleft__commute,axiom,
% 91.92/92.04 ! [V_c,V_a,V_b,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__left__idem,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__aci_I4_J,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf_Oleft__idem,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__commute,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__sup__aci_I1_J,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf_Ocommute,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__idem,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf_Oidem,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf1D2,axiom,
% 91.92/92.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf1D1,axiom,
% 91.92/92.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__assoc,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__left__commute,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__left__absorb,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__commute,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__absorb,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 91.92/92.04 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_less__infI2,axiom,
% 91.92/92.04 ! [V_a,V_x,V_b,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_less__infI1,axiom,
% 91.92/92.04 ! [V_b,V_x,V_a,T_a] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oidem,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__min,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 & class_Orderings_Olinorder(T_b) )
% 91.92/92.04 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Pow__Int__eq,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastAtMostL1,axiom,
% 91.92/92.04 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastAtMostR1,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_insert__inter__insert,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__Int__eq,axiom,
% 91.92/92.04 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__simps_I5_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__simps_I4_J,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__extend__simps_I5_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__UN__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__extend__simps_I4_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__UN__distrib2,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_distrib__inf__le,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_distrib__sup__le,axiom,
% 91.92/92.04 ! [V_z,V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Olattice(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__compl__bot,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__inf__bot,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_diff__eq,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__inf,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__sup,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__left__if1,axiom,
% 91.92/92.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__right__if1,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__left__if0,axiom,
% 91.92/92.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 91.92/92.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__right__if0,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 91.92/92.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__left,axiom,
% 91.92/92.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 91.92/92.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__insert__right,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 91.92/92.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__Int__subset,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__disjoint,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__triv,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__Int__assoc__eq,axiom,
% 91.92/92.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Int,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Un,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__Diff__Int,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I11_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__disjoint2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__disjoint,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Image__Int__subset,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__Int,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__Un,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__Compl,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__eq,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I14_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Image__Id__on,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2] :
% 91.92/92.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 91.92/92.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast0AtMost,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_lessThan__Suc__atMost,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__atMost,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__Suc,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__iff,axiom,
% 91.92/92.04 ! [V_k_2,V_i_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oord(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold__inf__insert,axiom,
% 91.92/92.04 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__Sup__absorb,axiom,
% 91.92/92.04 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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 ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__subset__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__on__image__Int,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_disjoint__eq__subset__Compl,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I15_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastAtMost,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastLessThan,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__le__add__shift,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I4_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I2_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I16_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I12_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I13_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__greaterThanAtMost,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I9_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__greaterThanLessThan,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I10_J,axiom,
% 91.92/92.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold__inf__le__inf,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold1__belowI,axiom,
% 91.92/92.04 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_below__fold1__iff,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__Un__Int,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod_Ounion__inter,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod__Un__Int,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__Un__Int,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__Diff__subset__Int,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__restrict__set,axiom,
% 91.92/92.04 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__atMost__Suc,axiom,
% 91.92/92.04 ! [V_na_2,V_f_2,T_b] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__0,axiom,
% 91.92/92.04 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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_quotient__disj,axiom,
% 91.92/92.04 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 91.92/92.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => ( V_X_2 = V_Y_2
% 91.92/92.04 | 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding__one_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding__one_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I9_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__Un__disjoint,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__Un,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oab__group__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod__Un__disjoint,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__Un__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__on__Un,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.04 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.04 & 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold__image__Un__Int,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold1__Un,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Groups_Oab__semigroup__mult(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Sup__fin_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Min_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Min_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Max_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Max_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__Un__nat,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_folding_Ounion,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__le__eq__Un0,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I2_J,axiom,
% 91.92/92.04 ! [V_u_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold__Un__disjoint,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I10_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I7_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card_Ounion__inter__neutral,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( ( ? [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)))
% 91.92/92.04 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod__Un,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Fields_Ofield(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.04 => 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))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fold__image__Un__one,axiom,
% 91.92/92.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__nat__def,axiom,
% 91.92/92.04 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__Int__eq2,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setprod__Un__one,axiom,
% 91.92/92.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__Un__zero,axiom,
% 91.92/92.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 91.92/92.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf2E,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf2I,axiom,
% 91.92/92.04 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf2D2,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf2D1,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oremove,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => ( ( hAPP(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))
% 91.92/92.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 91.92/92.04 & ( hAPP(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))
% 91.92/92.04 => 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)))))) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__nonneg__leq__bound,axiom,
% 91.92/92.04 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 91.92/92.04 => ( ! [B_i] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 91.92/92.04 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sum__diff__distrib,axiom,
% 91.92/92.04 ! [V_na_2,V_Pa_2,V_Q_2] :
% 91.92/92.04 ( ! [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)))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Osingleton,axiom,
% 91.92/92.04 ! [V_x_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => 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 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__Inf__absorb,axiom,
% 91.92/92.04 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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 ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oin__idem,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_OF__eq,axiom,
% 91.92/92.04 ! [V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Osubset__idem,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Ounion__idem,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__le__Sup,axiom,
% 91.92/92.04 ! [V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 91.92/92.04 ! [V_a_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oinsert,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( ( hAPP(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))
% 91.92/92.04 => 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 )
% 91.92/92.04 & ( hAPP(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))
% 91.92/92.04 => 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)))))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Ounion__inter,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 91.92/92.04 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Oclosed,axiom,
% 91.92/92.04 ! [V_A_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( ! [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))))))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Inf__fin_Ohom__commute,axiom,
% 91.92/92.04 ! [V_N_2,V_h_2,T_b] :
% 91.92/92.04 ( class_Lattices_Olattice(T_b)
% 91.92/92.04 => ( ! [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))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ImageE,axiom,
% 91.92/92.04 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 91.92/92.04 => ~ ! [B_x] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__mono__zero__left,axiom,
% 91.92/92.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__mono__zero__right,axiom,
% 91.92/92.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 91.92/92.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__strict__mono,axiom,
% 91.92/92.04 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.04 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 91.92/92.04 => 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))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atMost__Int__atLeast,axiom,
% 91.92/92.04 ! [V_na_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_field__le__mult__one__interval,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.04 => ( ! [B_z] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 91.92/92.04 => 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)) ) )
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 91.92/92.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.04 => ( V_A_2 = V_B_2
% 91.92/92.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 91.92/92.04 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__iff,axiom,
% 91.92/92.04 ! [V_k_2,V_i_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oord(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__subset__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__atLeast,axiom,
% 91.92/92.04 ! [V_k_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__lessThan,axiom,
% 91.92/92.04 ! [V_k_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I14_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I8_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastAtMostL2,axiom,
% 91.92/92.04 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__atLeastAtMostR2,axiom,
% 91.92/92.04 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I6_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__uminus__atMost,axiom,
% 91.92/92.04 ! [V_x_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__uminus__atLeast,axiom,
% 91.92/92.04 ! [V_x_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__Suc,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I12_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I13_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I1_J,axiom,
% 91.92/92.04 ! [V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__Suc__greaterThan,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_greaterThan__eq__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 91.92/92.04 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_greaterThan__iff,axiom,
% 91.92/92.04 ! [V_k_2,V_i_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oord(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_greaterThan__subset__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__greaterThan,axiom,
% 91.92/92.04 ! [V_k_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__atMost,axiom,
% 91.92/92.04 ! [V_k_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I7_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__un_I11_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Olinorder(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__uminus__lessThan,axiom,
% 91.92/92.04 ! [V_x_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__uminus__greaterThan,axiom,
% 91.92/92.04 ! [V_x_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_ivl__disj__int_I5_J,axiom,
% 91.92/92.04 ! [V_u_2,V_l_2,T_b] :
% 91.92/92.04 ( class_Orderings_Oorder(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_greaterThan__Suc,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__1__neg,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( 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))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__neg,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__if,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Groups_Osgn__if(T_a)
% 91.92/92.04 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 91.92/92.04 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__sgn,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__0__0,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.04 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn0,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( class_Groups_Osgn__if(T_a)
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__times,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__greater,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__less,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__1__pos,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sgn__pos,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zsgn__def,axiom,
% 91.92/92.04 ! [V_i] :
% 91.92/92.04 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 91.92/92.04 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 91.92/92.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 91.92/92.04 => 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)) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_decr__lemma,axiom,
% 91.92/92.04 ! [V_z,V_x,V_d] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_incr__lemma,axiom,
% 91.92/92.04 ! [V_x,V_z,V_d] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__abs,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_setsum__abs__ge__zero,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__setsum__abs,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__add__abs,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__mult,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__mult__self,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__one,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__minus__cancel,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__idempotent,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__eq__0,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 91.92/92.04 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__zero,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_power__abs,axiom,
% 91.92/92.04 ! [V_n,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__of__nat,axiom,
% 91.92/92.04 ! [V_n,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__int__eq,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__divide,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__le__D1,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__ge__self,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__setprod,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( class_Fields_Olinordered__field(T_b)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__minus__commute,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__ge__zero,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__le__zero__iff,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__of__nonneg,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__of__pos,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zero__less__abs__iff,axiom,
% 91.92/92.04 ! [V_a_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__not__less__zero,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ~ 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__triangle__ineq,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__mult__less,axiom,
% 91.92/92.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 91.92/92.04 => 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))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__triangle__ineq3,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__triangle__ineq2,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__triangle__ineq2__sym,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__ge__minus__self,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__le__iff,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.04 => ( 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))
% 91.92/92.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 91.92/92.04 & 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__leI,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__le__D2,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__less__iff,axiom,
% 91.92/92.04 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_b)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 91.92/92.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_nonzero__abs__divide,axiom,
% 91.92/92.04 ! [V_a,V_b,T_a] :
% 91.92/92.04 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.04 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__power__minus,axiom,
% 91.92/92.04 ! [V_n,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__zmult__eq__1,axiom,
% 91.92/92.04 ! [V_n,V_m] :
% 91.92/92.04 ( 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)
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_mult__sgn__abs,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__sgn,axiom,
% 91.92/92.04 ! [V_k,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__mult__pos,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__eq__mult,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Oordered__ring__abs(T_a)
% 91.92/92.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 91.92/92.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 91.92/92.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 91.92/92.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__triangle__ineq4,axiom,
% 91.92/92.04 ! [V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__diff__triangle__ineq,axiom,
% 91.92/92.04 ! [V_d,V_c,V_b,V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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))))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__minus__le__zero,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__of__nonpos,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__if,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oabs__if(T_a)
% 91.92/92.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__of__neg,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zero__le__power__abs,axiom,
% 91.92/92.04 ! [V_n,V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__div__pos,axiom,
% 91.92/92.04 ! [V_x,V_y,T_a] :
% 91.92/92.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__minus__one,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( ( class_Int_Onumber__ring(T_a)
% 91.92/92.04 & class_Rings_Olinordered__idom(T_a) )
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zabs__less__one__iff,axiom,
% 91.92/92.04 ! [V_z_2] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zabs__def,axiom,
% 91.92/92.04 ! [V_i] :
% 91.92/92.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 91.92/92.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 91.92/92.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_nat__abs__mult__distrib,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zero__le__zpower__abs,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__number__of,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( ( class_Int_Onumber__ring(T_a)
% 91.92/92.04 & class_Rings_Olinordered__idom(T_a) )
% 91.92/92.04 => ( ( 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)))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( ~ 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)))
% 91.92/92.04 => 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) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__power__minus__one,axiom,
% 91.92/92.04 ! [V_n,T_a] :
% 91.92/92.04 ( ( class_Int_Onumber__ring(T_a)
% 91.92/92.04 & class_Rings_Olinordered__idom(T_a) )
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_zero__less__zpower__abs__iff,axiom,
% 91.92/92.04 ! [V_na_2,V_x_2] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_power2__abs,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_abs__power2,axiom,
% 91.92/92.04 ! [V_a,T_a] :
% 91.92/92.04 ( class_Rings_Olinordered__idom(T_a)
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_divmod__int__pdivmod,axiom,
% 91.92/92.04 ! [V_l_2,V_k_2] :
% 91.92/92.04 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_divmod__int__code,axiom,
% 91.92/92.04 ! [V_l_2,V_k_2] :
% 91.92/92.04 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)))) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apsnd__conv,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apsnd__compose,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fst__apsnd,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apsnd__eq__conv,axiom,
% 91.92/92.04 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 91.92/92.04 ( 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)
% 91.92/92.04 <=> 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_snd__apsnd,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_negateSnd__def,axiom,
% 91.92/92.04 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_nat__gcd_Osimps,axiom,
% 91.92/92.04 ! [V_x,V_y] :
% 91.92/92.04 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 91.92/92.04 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_pdivmod__def,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_pdivmod__posDivAlg,axiom,
% 91.92/92.04 ! [V_k,V_l] :
% 91.92/92.04 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_nat__gcd_Opsimps,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 91.92/92.04 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => 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)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_nat__gcd_Opinduct,axiom,
% 91.92/92.04 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ( ! [B_x,B_y] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apsnd__apfst,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apfst__apsnd,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apfst__compose,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apfst__conv,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apfst__eq__conv,axiom,
% 91.92/92.04 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.04 ( 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)
% 91.92/92.04 <=> 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_fst__apfst,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_snd__apfst,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_apsnd__apfst__commute,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__unique,axiom,
% 91.92/92.04 ! [V_y,V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 91.92/92.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 91.92/92.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 91.92/92.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 91.92/92.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 91.92/92.04 => ( V_A_2 = V_B_2
% 91.92/92.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 91.92/92.04 => ( ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 91.92/92.04 => 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) ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_accp__acc__eq,axiom,
% 91.92/92.04 ! [V_x_2,V_r_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UNIV__I,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__top__right,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__top__left,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__eq__top__iff,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__top(T_b)
% 91.92/92.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 91.92/92.04 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 91.92/92.04 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__top__right,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inf__top__left,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 91.92/92.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__UNIV__right,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Int__UNIV__left,axiom,
% 91.92/92.04 ! [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 ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__UNIV__unit,axiom,
% 91.92/92.04 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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Pow__UNIV,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_top__apply,axiom,
% 91.92/92.04 ! [V_x_2,T_c,T_b] :
% 91.92/92.04 ( class_Orderings_Otop(T_b)
% 91.92/92.04 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UNIV__Plus__UNIV,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__UNIV,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( class_Finite__Set_Ofinite(T_b)
% 91.92/92.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__Prod__UNIV,axiom,
% 91.92/92.04 ! [T_c,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 91.92/92.04 => 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)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__option__UNIV,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__fun__UNIVD2,axiom,
% 91.92/92.04 ! [T_c,T_b] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__Plus__UNIV__iff,axiom,
% 91.92/92.04 ! [T_c,T_b] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_subset__UNIV,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UNIV__not__empty,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__UNIV__left,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__UNIV__right,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_infinite__UNIV__nat,axiom,
% 91.92/92.04 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_equiv__intrel,axiom,
% 91.92/92.04 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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__int,axiom,
% 91.92/92.04 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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_injD,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 91.92/92.04 => V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__eq,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 91.92/92.04 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_top__greatest,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Orderings_Otop(T_a)
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_infinite__UNIV__int,axiom,
% 91.92/92.04 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_range__composition,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__lessThan__UNIV,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__atMost__UNIV,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_rangeI,axiom,
% 91.92/92.04 ! [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))))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_range__eqI,axiom,
% 91.92/92.04 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 91.92/92.04 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 91.92/92.04 => 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))))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__atLeast__UNIV,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Diff__UNIV,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_comp__surj,axiom,
% 91.92/92.04 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 91.92/92.04 ! [V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__image__eq__iff,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( 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)
% 91.92/92.04 <=> V_A_2 = V_B_2 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__comp,axiom,
% 91.92/92.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__empty__eq,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__UNIV__eq,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__compl,axiom,
% 91.92/92.04 ! [V_A_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 91.92/92.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__partition2,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__partition,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_SUP__UN__eq,axiom,
% 91.92/92.04 ! [V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__range__imageI,axiom,
% 91.92/92.04 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 91.92/92.04 ( 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)))))
% 91.92/92.04 => 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))))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_the__inv__f__f,axiom,
% 91.92/92.04 ! [V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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 ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__fun__UNIVD1,axiom,
% 91.92/92.04 ! [T_c,T_b] :
% 91.92/92.04 ( 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))))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__of__nat,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( class_Nat_Osemiring__char__0(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_atLeast__0,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_acc__subset,axiom,
% 91.92/92.04 ! [V_R2_2,V_R1_2,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__fun,axiom,
% 91.92/92.04 ! [T_d,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__bot__eq,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__top__eq,axiom,
% 91.92/92.04 ! [T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_compl__sup__top,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_sup__compl__top,axiom,
% 91.92/92.04 ! [V_x,T_a] :
% 91.92/92.04 ( class_Lattices_Oboolean__algebra(T_a)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_range__ex1__eq,axiom,
% 91.92/92.04 ! [V_b_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( 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)))))
% 91.92/92.04 <=> ? [B_x] :
% 91.92/92.04 ( V_b_2 = hAPP(V_f_2,B_x)
% 91.92/92.04 & ! [B_y] :
% 91.92/92.04 ( V_b_2 = hAPP(V_f_2,B_y)
% 91.92/92.04 => B_y = B_x ) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__image__mem__iff,axiom,
% 91.92/92.04 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__UNIV__inj__surj,axiom,
% 91.92/92.04 ! [V_f_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__UNIV__surj__inj,axiom,
% 91.92/92.04 ! [V_f_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__image__subset__iff,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__Int,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_image__set__diff,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_surj__Compl__image__subset,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_acc_Osimps,axiom,
% 91.92/92.04 ! [V_r_2,V_a_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_acc__downward,axiom,
% 91.92/92.04 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 91.92/92.04 => ( 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))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__UN__finite__eq,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__singleton,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__UNIV__card__ge__0,axiom,
% 91.92/92.04 ! [T_b] :
% 91.92/92.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.04 => 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))))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_card__UNIV__bool,axiom,
% 91.92/92.04 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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_inj__image__Compl__subset,axiom,
% 91.92/92.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.04 => 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)))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_greaterThan__0,axiom,
% 91.92/92.04 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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_SUP__UN__eq2,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__finite2__subset,axiom,
% 91.92/92.04 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 91.92/92.04 ( ! [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)))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INFI__fold__inf,axiom,
% 91.92/92.04 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__finite2__eq,axiom,
% 91.92/92.04 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 91.92/92.04 ( ! [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)
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_top1I,axiom,
% 91.92/92.04 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__D,axiom,
% 91.92/92.04 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__E,axiom,
% 91.92/92.04 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF1__D,axiom,
% 91.92/92.04 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF1__E,axiom,
% 91.92/92.04 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF2__E,axiom,
% 91.92/92.04 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 91.92/92.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF2__D,axiom,
% 91.92/92.04 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_finite__INT,axiom,
% 91.92/92.04 ! [V_A_2,T_c,V_I_2,T_b] :
% 91.92/92.04 ( ? [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 91.92/92.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.04 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( 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)
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.04 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__empty,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__constant,axiom,
% 91.92/92.04 ! [V_c_2,T_c,T_b,V_A_2] :
% 91.92/92.04 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__INT__eq2,axiom,
% 91.92/92.04 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__INT__eq,axiom,
% 91.92/92.04 ! [V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.04 ( 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))
% 91.92/92.04 <=> 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I9_J,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I9_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__iff,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__subset__iff,axiom,
% 91.92/92.04 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 91.92/92.04 ( 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)))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I7_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I6_J,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I7_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__INT__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I6_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Un__INT__distrib2,axiom,
% 91.92/92.04 ! [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))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__commute,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INFI__apply,axiom,
% 91.92/92.04 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Pow__INT__eq,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I10_J,axiom,
% 91.92/92.04 ! [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) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I10_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I5_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I5_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__Int__distrib,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_le__INF__iff,axiom,
% 91.92/92.04 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.04 => ( 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)))
% 91.92/92.04 <=> ! [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__less__iff,axiom,
% 91.92/92.04 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 91.92/92.04 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.04 & class_Orderings_Olinorder(T_b) )
% 91.92/92.04 => ( 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))
% 91.92/92.04 <=> ? [B_x] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 91.92/92.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__insert__distrib,axiom,
% 91.92/92.04 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 91.92/92.04 => 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)) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__lower,axiom,
% 91.92/92.04 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.04 => 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))) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__absorb,axiom,
% 91.92/92.04 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 91.92/92.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 91.92/92.04 => 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) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__const,axiom,
% 91.92/92.04 ! [V_M_2,T_b,V_A_2,T_c] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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 ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I1_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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 )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I2_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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 )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I2_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I1_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__insert,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I3_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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) )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I3_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__Un,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__simps_I7_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_UN__extend__simps_I7_J,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Image__INT__subset,axiom,
% 91.92/92.04 ! [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)))) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__UN,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_Compl__INT,axiom,
% 91.92/92.04 ! [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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__greaterThan__UNIV,axiom,
% 91.92/92.04 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)) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__subset,axiom,
% 91.92/92.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__extend__simps_I4_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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 )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INT__simps_I4_J,axiom,
% 91.92/92.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 91.92/92.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) )
% 91.92/92.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.04 => 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)) ) ) ).
% 91.92/92.04
% 91.92/92.04 fof(fact_INF__leI,axiom,
% 91.92/92.04 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 91.92/92.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 91.92/92.04 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inf__INFI__fold__inf,axiom,
% 91.92/92.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Integ__def,axiom,
% 91.92/92.05 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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UN__finite__subset,axiom,
% 91.92/92.05 ! [V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( ! [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))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_iso__tuple__UNIV__I,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INF1__iff,axiom,
% 91.92/92.05 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INF2__iff,axiom,
% 91.92/92.05 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Rep__Integ,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_o__eq__dest__lhs,axiom,
% 91.92/92.05 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 91.92/92.05 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 91.92/92.05 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_K__record__comp,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__INT,axiom,
% 91.92/92.05 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 91.92/92.05 => 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)) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equivp__equiv,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 91.92/92.05 <=> 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition__Integ,axiom,
% 91.92/92.05 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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equivp__transp,axiom,
% 91.92/92.05 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equivp__symp,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equivp__reflp,axiom,
% 91.92/92.05 ! [V_x_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.05 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equivp__def,axiom,
% 91.92/92.05 ! [V_R_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.05 <=> ! [B_x,B_y] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 91.92/92.05 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_identity__equivp,axiom,
% 91.92/92.05 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_OAbs__image,axiom,
% 91.92/92.05 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_ORep__range,axiom,
% 91.92/92.05 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_OAbs__inject,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 91.92/92.05 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 91.92/92.05 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_ORep__inject,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 91.92/92.05 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_ORep__inverse,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_ORep,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_type__definition_OAbs__inverse,axiom,
% 91.92/92.05 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 91.92/92.05 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 91.92/92.05 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__vimage__singleton,axiom,
% 91.92/92.05 ! [V_a_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__fold__inf,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_max__extp_Oequations,axiom,
% 91.92/92.05 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 91.92/92.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 91.92/92.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 91.92/92.05 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 & ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 91.92/92.05 => ? [B_xa] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 91.92/92.05 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Inter,axiom,
% 91.92/92.05 ! [V_M_2,T_b] :
% 91.92/92.05 ( ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 91.92/92.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_InterE,axiom,
% 91.92/92.05 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_InterD,axiom,
% 91.92/92.05 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimageI,axiom,
% 91.92/92.05 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 91.92/92.05 ( hAPP(V_f_2,V_a_2) = V_b_2
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Un__Inter,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__INT,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Diff,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_le__Inf__iff,axiom,
% 91.92/92.05 ! [V_A_2,V_b_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__less__iff,axiom,
% 91.92/92.05 ! [V_a_2,V_S_2,T_b] :
% 91.92/92.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 & class_Orderings_Olinorder(T_b) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 91.92/92.05 <=> ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Un,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__mono,axiom,
% 91.92/92.05 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__compose,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__ident,axiom,
% 91.92/92.05 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__code,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 91.92/92.05 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Compl,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Int,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__UN,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__UNIV,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__eq,axiom,
% 91.92/92.05 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimageD,axiom,
% 91.92/92.05 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimageI2,axiom,
% 91.92/92.05 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__vimage__subset,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_surj__image__vimage__eq,axiom,
% 91.92/92.05 ! [V_A_2,V_f_2,T_b,T_c] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__lower,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__anti__mono,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__insert,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__UNIV,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__lower,axiom,
% 91.92/92.05 ! [V_A_2,V_x_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__Un__distrib,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__singleton__eq,axiom,
% 91.92/92.05 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( 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))))))
% 91.92/92.05 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__singleton,axiom,
% 91.92/92.05 ! [V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__empty,axiom,
% 91.92/92.05 ! [T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__UNIV,axiom,
% 91.92/92.05 ! [T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__insert,axiom,
% 91.92/92.05 ! [V_A_2,V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__insert,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__vimageD,axiom,
% 91.92/92.05 ! [V_F_2,V_h_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__image__eq,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INTER__eq__Inter__image,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__subsetD,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__vimage__eq,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__vimageI,axiom,
% 91.92/92.05 ! [V_h_2,T_c,V_F_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 91.92/92.05 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__vimage__image__eq,axiom,
% 91.92/92.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__const,axiom,
% 91.92/92.05 ! [T_c,V_A_2,V_c_2,T_b] :
% 91.92/92.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.05 => 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)) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__eq__UN,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__eq__Inter,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__subsetI,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__Inter__image,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__Un__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__binary,axiom,
% 91.92/92.05 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__if,axiom,
% 91.92/92.05 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 91.92/92.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 91.92/92.05 => 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)) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 91.92/92.05 => 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 ) ) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 91.92/92.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 91.92/92.05 => 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) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 91.92/92.05 => 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inf__Inf__fold__inf,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__fin__Inf,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__fold__sup,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_max__ext_Ointros,axiom,
% 91.92/92.05 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 91.92/92.05 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 91.92/92.05 => ? [B_xa] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 91.92/92.05 & 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)) ) )
% 91.92/92.05 => 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))) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UnionI,axiom,
% 91.92/92.05 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UN__extend__simps_I8_J,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UN__simps_I8_J,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__Union2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Field__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__Pow__eq,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_less__Sup__iff,axiom,
% 91.92/92.05 ! [V_S_2,V_a_2,T_b] :
% 91.92/92.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 & class_Orderings_Olinorder(T_b) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 91.92/92.05 <=> ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__le__iff,axiom,
% 91.92/92.05 ! [V_b_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( 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))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INT__simps_I8_J,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INT__extend__simps_I8_J,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__disjoint,axiom,
% 91.92/92.05 ! [V_A_2,V_C_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__upper,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__mono,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__quotient,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__insert,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__UnionD,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_subset__Pow__Union,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__UNIV,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__Un__distrib,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UNION__eq__Union__image,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__image__eq,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__upper,axiom,
% 91.92/92.05 ! [V_A_2,V_x_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__empty,axiom,
% 91.92/92.05 ! [T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__singleton,axiom,
% 91.92/92.05 ! [V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__insert,axiom,
% 91.92/92.05 ! [V_A_2,V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__UNIV,axiom,
% 91.92/92.05 ! [T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Un__eq__Union,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Un__Union__image,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__Int__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__binary,axiom,
% 91.92/92.05 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_sup__Sup__fold__sup,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__fin__Sup,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oone__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Ofrac__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Union__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Union,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 91.92/92.05 => ( ! [B_M] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__partition,axiom,
% 91.92/92.05 ! [V_F_2,V_x_2,T_b] :
% 91.92/92.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ! [B_xa] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( B_x != B_xa
% 91.92/92.05 => 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)) ) ) )
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__partition,axiom,
% 91.92/92.05 ! [V_k_2,V_C_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 91.92/92.05 => ( ! [B_c] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 91.92/92.05 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 91.92/92.05 => ( ! [B_c1] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 91.92/92.05 => ! [B_c2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 91.92/92.05 => ( B_c1 != B_c2
% 91.92/92.05 => 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)) ) ) )
% 91.92/92.05 => 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__on__Inter,axiom,
% 91.92/92.05 ! [V_f_2,T_c,T_b,V_S_2] :
% 91.92/92.05 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 91.92/92.05 => ( ! [B_A] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 91.92/92.05 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__subset,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( ! [B_X] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__split__eq__Sigma,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SigmaI,axiom,
% 91.92/92.05 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Diff__distrib2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__Diff__distrib1,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Diff__distrib1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__eq__cancel2,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 91.92/92.05 => ( 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))
% 91.92/92.05 <=> V_A_2 = V_B_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__empty1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__cartesian__product,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__cartesian__product,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__empty2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__empty,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Compl__Times__UNIV1,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Compl__Times__UNIV2,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__cartesian__product,axiom,
% 91.92/92.05 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__mult(T_b)
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Un__distrib2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__Un__distrib1,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Un__distrib1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_swap__product,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__cartesian__product,axiom,
% 91.92/92.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equiv__type,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Int__distrib2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__Int__distrib1,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__Int__distrib1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Id__on__subset__Times,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UNIV__Times__UNIV,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mem__Sigma__iff,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.05 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SigmaD1,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SigmaD2,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SigmaE2,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__cartesian__product__singleton,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Times__subset__cancel2,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__subset,axiom,
% 91.92/92.05 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__cartesian__productD1,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__cartesian__productD2,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fst__image__times,axiom,
% 91.92/92.05 ! [V_A_2,T_c,T_b,V_B_2] :
% 91.92/92.05 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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)) )
% 91.92/92.05 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_snd__image__times,axiom,
% 91.92/92.05 ! [V_B_2,T_c,T_b,V_A_2] :
% 91.92/92.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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)) )
% 91.92/92.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__times__insert,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__equiv__class,axiom,
% 91.92/92.05 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Times,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UN__Times__distrib,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__def,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__quotient,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 91.92/92.05 ! [V_A_2,V_I_2,T_c,T_b] :
% 91.92/92.05 ? [B_f] :
% 91.92/92.05 ( 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))
% 91.92/92.05 & 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fold__image__Sigma,axiom,
% 91.92/92.05 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__SigmaI,axiom,
% 91.92/92.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_a] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__Sigma,axiom,
% 91.92/92.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__Sigma,axiom,
% 91.92/92.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__SigmaI,axiom,
% 91.92/92.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SigmaE,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => ! [B_y] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 91.92/92.05 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__surj,axiom,
% 91.92/92.05 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__inj__on,axiom,
% 91.92/92.05 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.05 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__imageI,axiom,
% 91.92/92.05 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__simp,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__ident,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_snd__prod__fun,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fst__map__pair,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fst__comp__map__pair,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_snd__comp__map__pair,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair_Ocomp,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__compose,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair_Ocompositionality,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair__surj__on,axiom,
% 91.92/92.05 ! [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] :
% 91.92/92.05 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 91.92/92.05 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_prod__fun__imageE,axiom,
% 91.92/92.05 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_x,B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ~ 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__def,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 <=> ( 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))))
% 91.92/92.05 & ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_nat0__intermed__int__val,axiom,
% 91.92/92.05 ! [V_k_2,V_f_2,V_na_2] :
% 91.92/92.05 ( ! [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 91.92/92.05 => ? [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.05 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__Id__on,axiom,
% 91.92/92.05 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__empty,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__Un,axiom,
% 91.92/92.05 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__Int,axiom,
% 91.92/92.05 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__onD,axiom,
% 91.92/92.05 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__onD1,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__onD2,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__onI,axiom,
% 91.92/92.05 ! [V_A_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => 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)) )
% 91.92/92.05 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_int__val__lemma,axiom,
% 91.92/92.05 ! [V_k_2,V_f_2,V_na_2] :
% 91.92/92.05 ( ! [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 91.92/92.05 => ? [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.05 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__pos__nat,axiom,
% 91.92/92.05 ! [V_f_2,V_S_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Rep__Integ__induct,axiom,
% 91.92/92.05 ! [V_Pa_2,V_y_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 91.92/92.05 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Rep__Integ__cases,axiom,
% 91.92/92.05 ! [V_y_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 91.92/92.05 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => hAPP(V_g_2,B_x) = V_z_2 )
% 91.92/92.05 => 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__on__INTER,axiom,
% 91.92/92.05 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 91.92/92.05 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( ! [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 91.92/92.05 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__less__Suc,axiom,
% 91.92/92.05 ! [V_i_2,V_M_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__less,axiom,
% 91.92/92.05 ! [V_i_2,V_M_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_CollectI,axiom,
% 91.92/92.05 ! [T_b,V_a_2,V_Pa_2] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__conjI,axiom,
% 91.92/92.05 ! [V_Q_2,V_Pa_2,T_b] :
% 91.92/92.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__less__nat,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__le__nat,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_CollectE,axiom,
% 91.92/92.05 ! [V_Pa_2,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_CollectD,axiom,
% 91.92/92.05 ! [V_Pa_2,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mem__Collect__eq,axiom,
% 91.92/92.05 ! [V_Pa_2,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__mem__eq,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UNIV__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__disjI,axiom,
% 91.92/92.05 ! [V_Q_2,V_Pa_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__conj__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__Collect,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__disj__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__def,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_empty__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__empty__eq,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b] :
% 91.92/92.05 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_empty__Collect__eq,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b] :
% 91.92/92.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 91.92/92.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__neg__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__Collect__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__split,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_SetCompr__Sigma__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__compr,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__compr__raw,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Un__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__Collect,axiom,
% 91.92/92.05 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.05 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_singleton__conv2,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_singleton__conv,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__conv__if2,axiom,
% 91.92/92.05 ! [T_b,V_a_2,V_Pa_2] :
% 91.92/92.05 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__conv__if,axiom,
% 91.92/92.05 ! [T_b,V_a_2,V_Pa_2] :
% 91.92/92.05 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_set__diff__eq,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__not,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_insert__def,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Compl__eq,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__imp__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__M__bounded__by__nat,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__setsum__restrict,axiom,
% 91.92/92.05 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 91.92/92.05 => 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) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_if__image__distrib,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_nat__seg__image__imp__finite,axiom,
% 91.92/92.05 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__restrict__set_H,axiom,
% 91.92/92.05 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__image__gen,axiom,
% 91.92/92.05 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__singleton,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__cases,axiom,
% 91.92/92.05 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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))))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_card__less__Suc2,axiom,
% 91.92/92.05 ! [V_i_2,V_M_2] :
% 91.92/92.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__multicount,axiom,
% 91.92/92.05 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 91.92/92.05 => 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 )
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))))) ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__subsets,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Pow__Compl,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Pow__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__image__set,axiom,
% 91.92/92.05 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Collect__bounded__ex,axiom,
% 91.92/92.05 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 91.92/92.05 => ( 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)))))
% 91.92/92.05 <=> ! [B_y] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,B_y))
% 91.92/92.05 => 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)))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__graph,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__psubset__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inv__image__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_add__Max__commute,axiom,
% 91.92/92.05 ! [V_k_2,V_N_2,T_b] :
% 91.92/92.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_add__Min__commute,axiom,
% 91.92/92.05 ! [V_k_2,V_N_2,T_b] :
% 91.92/92.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 91.92/92.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_sup__Inf1__distrib,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Odistrib__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_sup__Inf2__distrib,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Odistrib__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))))) ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inf__Sup1__distrib,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Odistrib__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inf__Sup2__distrib,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Odistrib__lattice(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))))) ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 91.92/92.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 => 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))))))) ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oprod__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_int__ge__less__than__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_int__ge__less__than2__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reflp__def,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.05 ( class_Rings_Osemiring__0(T_d)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))))))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__multicount__gen,axiom,
% 91.92/92.05 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 91.92/92.05 => 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) )
% 91.92/92.05 => 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) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inj__on__id,axiom,
% 91.92/92.05 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair_Oid,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_map__pair_Oidentity,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_vimage__id,axiom,
% 91.92/92.05 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_apsnd__id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_id__def,axiom,
% 91.92/92.05 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_id__apply,axiom,
% 91.92/92.05 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reflpE,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 91.92/92.05 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_apfst__id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_o__eq__id__dest,axiom,
% 91.92/92.05 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 91.92/92.05 ( 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)
% 91.92/92.05 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_o__id,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_id__o,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_image__id,axiom,
% 91.92/92.05 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_of__int__eq__id,axiom,
% 91.92/92.05 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_surj__id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_folding_Oempty,axiom,
% 91.92/92.05 ! [V_F_2,V_f_2,T_c,T_b] :
% 91.92/92.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 91.92/92.05 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_apsnd__def,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_apfst__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_split__Pair,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__reindex__id,axiom,
% 91.92/92.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__reindex__id,axiom,
% 91.92/92.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 91.92/92.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__conv__nat__seg__image,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 <=> ? [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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__def,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Collect__split,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__compI,axiom,
% 91.92/92.05 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_RangeI,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Id__on,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_O__assoc,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__empty2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__empty1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__distrib2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__distrib,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__UNION__distrib,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__UNION__distrib2,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_union__comp__emptyL,axiom,
% 91.92/92.05 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_union__comp__emptyR,axiom,
% 91.92/92.05 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__empty__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_b,T_c] :
% 91.92/92.05 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__comp__subset__Sigma,axiom,
% 91.92/92.05 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Un__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Range,axiom,
% 91.92/92.05 ! [V_r_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_snd__eq__Range,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 91.92/92.05 <=> ? [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__insert,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Int__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Diff__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_max__ext__compat,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__ext__compat,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_RangeP__Range__eq,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_RangeE,axiom,
% 91.92/92.05 ! [V_r_2,T_c,V_b_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 91.92/92.05 => ~ ! [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pred__comp__rel__comp__eq,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pred__comp_Ointros,axiom,
% 91.92/92.05 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_RangeP_Ointros,axiom,
% 91.92/92.05 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 91.92/92.05 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pred__comp_Oequations,axiom,
% 91.92/92.05 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ? [B_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 91.92/92.05 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_RangeP_Oequations,axiom,
% 91.92/92.05 ! [V_a2_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 91.92/92.05 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reduction__pairI,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Collect__split,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pigeonhole__infinite,axiom,
% 91.92/92.05 ! [V_f_2,T_c,V_A_2,T_b] :
% 91.92/92.05 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 91.92/92.05 => ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 & ~ 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)))))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__less__than,axiom,
% 91.92/92.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__empty,axiom,
% 91.92/92.05 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__inv__image,axiom,
% 91.92/92.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__lex__prod,axiom,
% 91.92/92.05 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 91.92/92.05 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__measure,axiom,
% 91.92/92.05 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_DomainI,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__comp__self,axiom,
% 91.92/92.05 ! [V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__subset,axiom,
% 91.92/92.05 ! [V_p_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__ext__wf,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__finite__psubset,axiom,
% 91.92/92.05 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__Int2,axiom,
% 91.92/92.05 ! [V_r_H_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__Int1,axiom,
% 91.92/92.05 ! [V_r_H_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_max__ext__wf,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__pair__less,axiom,
% 91.92/92.05 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Id__on,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__mlex,axiom,
% 91.92/92.05 ! [V_f_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__less,axiom,
% 91.92/92.05 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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__irrefl,axiom,
% 91.92/92.05 ! [V_a_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ~ 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__asym,axiom,
% 91.92/92.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ~ 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__not__sym,axiom,
% 91.92/92.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ~ 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__not__refl,axiom,
% 91.92/92.05 ! [V_a_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ~ 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__int__ge__less__than,axiom,
% 91.92/92.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__int__ge__less__than2,axiom,
% 91.92/92.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__Un,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acc__wfD,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__acc__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__no__loop,axiom,
% 91.92/92.05 ! [V_R_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__union__merge,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__empty__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_c,T_b] :
% 91.92/92.05 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Un__eq,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__Domain,axiom,
% 91.92/92.05 ! [V_r_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fst__eq__Domain,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 <=> ~ ? [B_f] :
% 91.92/92.05 ! [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfE__pf,axiom,
% 91.92/92.05 ! [V_A_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__union__compatible,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 91.92/92.05 <=> ? [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf,axiom,
% 91.92/92.05 ! [T_b] :
% 91.92/92.05 ( class_Orderings_Owellorder(T_b)
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__insert,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reduction__pair__def,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b] :
% 91.92/92.05 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 91.92/92.05 <=> ( 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))
% 91.92/92.05 & 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reduction__pair__lemma,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 91.92/92.05 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 91.92/92.05 => 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Int__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Diff__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Field__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__map__pair__image,axiom,
% 91.92/92.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Union,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_DomainP__Domain__eq,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__lenlex,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_DomainE,axiom,
% 91.92/92.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 91.92/92.05 => ~ ! [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_DomainP_Ointros,axiom,
% 91.92/92.05 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 91.92/92.05 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_DomainP_Oequations,axiom,
% 91.92/92.05 ! [V_a1_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 91.92/92.05 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pred__nat__def,axiom,
% 91.92/92.05 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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__lex,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__lexn,axiom,
% 91.92/92.05 ! [V_na_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lex__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexn_Osimps_I1_J,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__pred__nat,axiom,
% 91.92/92.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__same__fst,axiom,
% 91.92/92.05 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 91.92/92.05 ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.05 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 91.92/92.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__if__measure,axiom,
% 91.92/92.05 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 91.92/92.05 ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.05 => 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))) )
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__def,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__empty,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__accp__iff,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 91.92/92.05 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_accp__wfPD,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 91.92/92.05 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__subset,axiom,
% 91.92/92.05 ! [V_p_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__in__rel,axiom,
% 91.92/92.05 ! [V_R_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 91.92/92.05 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__wf__eq,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__acyclicP,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__def_H,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 <=> ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 91.92/92.05 => 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)) )
% 91.92/92.05 & ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Abs__Integ__induct,axiom,
% 91.92/92.05 ! [V_x_2,V_Pa_2] :
% 91.92/92.05 ( ! [B_y] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_ball__empty,axiom,
% 91.92/92.05 ! [V_Pa_2,T_b,B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__acyclic,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acyclic__subset,axiom,
% 91.92/92.05 ! [V_r_2,V_s_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Powp__def,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 91.92/92.05 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INFI__bool__eq,axiom,
% 91.92/92.05 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Collect__ball__eq,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_congruent__def,axiom,
% 91.92/92.05 ! [V_f_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_INTER__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 91.92/92.05 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__acyclic__wf,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 91.92/92.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sup__Inf,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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)))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inf__Sup,axiom,
% 91.92/92.05 ! [V_A_2,T_b] :
% 91.92/92.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.05 => 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Owf_H__def,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 91.92/92.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 91.92/92.05 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 91.92/92.05 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Abs__Integ__cases,axiom,
% 91.92/92.05 ! [V_x_2] :
% 91.92/92.05 ~ ! [B_y] :
% 91.92/92.05 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 91.92/92.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__UN__I,axiom,
% 91.92/92.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_a] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Inter__eq,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfP__SUP,axiom,
% 91.92/92.05 ! [T_b,V_r_2,T_c] :
% 91.92/92.05 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 91.92/92.05 => ( ! [B_i,B_j] :
% 91.92/92.05 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 91.92/92.05 => 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)) )
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mem__splitE,axiom,
% 91.92/92.05 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_x,B_y] :
% 91.92/92.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 91.92/92.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mem__splitI2,axiom,
% 91.92/92.05 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 91.92/92.05 ( ! [B_a,B_b] :
% 91.92/92.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__SucD,axiom,
% 91.92/92.05 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 91.92/92.05 ( 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)
% 91.92/92.05 => ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 & 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Eps__split,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_nat__mod__eq__lemma,axiom,
% 91.92/92.05 ! [V_y,V_n,V_x] :
% 91.92/92.05 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 91.92/92.05 => ? [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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_exE__some,axiom,
% 91.92/92.05 ! [T_b,V_c_2,V_Pa_2] :
% 91.92/92.05 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.05 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_some__sym__eq__trivial,axiom,
% 91.92/92.05 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_some__eq__trivial,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_some__eq__ex,axiom,
% 91.92/92.05 ! [T_b,V_Pa_2] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 91.92/92.05 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_someI__ex,axiom,
% 91.92/92.05 ! [T_b,V_Pa_2] :
% 91.92/92.05 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_someI,axiom,
% 91.92/92.05 ! [T_b,V_x_2,V_Pa_2] :
% 91.92/92.05 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_tfl__some,axiom,
% 91.92/92.05 ! [T_b,B_P] :
% 91.92/92.05 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 91.92/92.05 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Eps__split__eq,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_split__paired__Eps,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wfI__pf,axiom,
% 91.92/92.05 ! [V_R_2,T_b] :
% 91.92/92.05 ( ! [B_A] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 91.92/92.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Sigma__mono,axiom,
% 91.92/92.05 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => 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))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_not__acc__down,axiom,
% 91.92/92.05 ! [V_R_2,V_x_2,T_b] :
% 91.92/92.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 91.92/92.05 => ~ ! [B_z] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acc_OaccI,axiom,
% 91.92/92.05 ! [V_r_2,V_x_2,T_b] :
% 91.92/92.05 ( ! [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_max__ext_Osimps,axiom,
% 91.92/92.05 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 91.92/92.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 91.92/92.05 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.05 & ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 91.92/92.05 => ? [B_xa] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 91.92/92.05 & 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 91.92/92.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 91.92/92.05 => 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 91.92/92.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 91.92/92.05 => 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mod__induct__0,axiom,
% 91.92/92.05 ! [V_i_2,V_Pa_2,V_p_2] :
% 91.92/92.05 ( ! [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 91.92/92.05 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 91.92/92.05 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 91.92/92.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_InterI,axiom,
% 91.92/92.05 ! [V_A_2,V_C_2,T_b] :
% 91.92/92.05 ( ! [B_X] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Min__eqI,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_y] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.05 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Max__eqI,axiom,
% 91.92/92.05 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Orderings_Olinorder(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_y] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.05 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inf__le__fold__inf,axiom,
% 91.92/92.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Osemilattice__inf(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 91.92/92.05 => 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_fold__sup__le__sup,axiom,
% 91.92/92.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 91.92/92.05 ( class_Lattices_Osemilattice__sup(T_b)
% 91.92/92.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 91.92/92.05 => 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__no__infinite__down__chainE,axiom,
% 91.92/92.05 ! [V_f_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => ~ ! [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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__reindex__cong,axiom,
% 91.92/92.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 91.92/92.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 91.92/92.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 91.92/92.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 91.92/92.05 => ( ! [B_a] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 91.92/92.05 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 91.92/92.05 => 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) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_scomp__unfold,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setsum__ivl__cong,axiom,
% 91.92/92.05 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 91.92/92.05 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.05 & class_Orderings_Oord(T_b) )
% 91.92/92.05 => ( V_a_2 = V_c_2
% 91.92/92.05 => ( V_b_2 = V_d_2
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 91.92/92.05 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 91.92/92.05 => 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_less__eq,axiom,
% 91.92/92.05 ! [V_na_2,V_m_2] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_scomp__scomp,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_scomp__Pair,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Pair__scomp,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_scomp__apply,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__trancl,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_scomp__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_less__than__def,axiom,
% 91.92/92.05 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acyclic__def,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 91.92/92.05 <=> ! [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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl_Or__into__trancl,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__subset__Field2,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__Int__subset,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_r__into__trancl_H,axiom,
% 91.92/92.05 ! [V_r_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__empty,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__domain,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__range,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__trancl,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 91.92/92.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__trans,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__into__trancl2,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_r__r__into__trancl,axiom,
% 91.92/92.05 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__unfold,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__subset__Sigma,axiom,
% 91.92/92.05 ! [V_A_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_iterate_Osimps,axiom,
% 91.92/92.05 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 91.92/92.05 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.05 => 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) )
% 91.92/92.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__insert,axiom,
% 91.92/92.05 ! [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)))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reflcl__set__eq,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_r__into__rtrancl,axiom,
% 91.92/92.05 ! [V_r_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_IdI,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__into__rtrancl,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__trancl__absorb,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__rtrancl__absorb,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_reflcl__trancl,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__reflcl,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__unfold__left,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__unfold__right,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__empty,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__Int__subset,axiom,
% 91.92/92.05 ! [V_r_2,V_s_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__idemp__self__comp,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_r__comp__rtrancl__eq,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__unfold,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__reflcl,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__Un__rtrancl,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__reflcl__absorb,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__subset__rtrancl,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__subset,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__Un__subset,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__closed__trancl,axiom,
% 91.92/92.05 ! [V_X_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_in__rtrancl__UnI,axiom,
% 91.92/92.05 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 91.92/92.05 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 91.92/92.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__rtrancl,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__trans,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__idemp,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__r__diff__Id,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__rtrancl,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__rtrancl,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__Id,axiom,
% 91.92/92.05 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_R__O__Id,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Id__O__R,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pair__in__Id__conv,axiom,
% 91.92/92.05 ! [V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> V_a_2 = V_b_2 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__trancl__trancl,axiom,
% 91.92/92.05 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__rtrancl__trancl,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__into__trancl1,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtranclD,axiom,
% 91.92/92.05 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( V_a_2 = V_b_2
% 91.92/92.05 | ( V_a_2 != V_b_2
% 91.92/92.05 & 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__into__trancl2,axiom,
% 91.92/92.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__eq__or__trancl,axiom,
% 91.92/92.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( V_x_2 = V_y_2
% 91.92/92.05 | ( V_x_2 != V_y_2
% 91.92/92.05 & 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__Id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__Id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__Id,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pair__leq__def,axiom,
% 91.92/92.05 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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Not__Domain__rtrancl,axiom,
% 91.92/92.05 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 91.92/92.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 <=> V_x_2 = V_y_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acc__downwards__aux,axiom,
% 91.92/92.05 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acc__downwards,axiom,
% 91.92/92.05 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__insert,axiom,
% 91.92/92.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 & ~ 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acyclic__insert,axiom,
% 91.92/92.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 91.92/92.05 & ~ 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__reflcl,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Id__def,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_irrefl__diff__Id,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pred__nat__trancl__eq__le,axiom,
% 91.92/92.05 ! [V_na_2,V_m_2] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__subset__Sigma__aux,axiom,
% 91.92/92.05 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => ( V_a_2 = V_b_2
% 91.92/92.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_log_Osimps,axiom,
% 91.92/92.05 ! [V_i,V_b] :
% 91.92/92.05 ( ( ( 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)))
% 91.92/92.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 91.92/92.05 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 91.92/92.05 & ( ~ ( 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)))
% 91.92/92.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_minus__shift__def,axiom,
% 91.92/92.05 ! [V_r,V_l,V_k] :
% 91.92/92.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 91.92/92.05 => 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) )
% 91.92/92.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 91.92/92.05 => 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_inc__shift__def,axiom,
% 91.92/92.05 ! [V_k,V_v] :
% 91.92/92.05 ( ( V_v = V_k
% 91.92/92.05 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 91.92/92.05 & ( V_v != V_k
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_range,axiom,
% 91.92/92.05 ! [V_s,V_k] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_irrefl__tranclI,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ~ 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__converse,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__Id,axiom,
% 91.92/92.05 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__Un,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__converse,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acyclic__converse,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__inv__image,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__converse,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Field__converse,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__Id__on,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__Int,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__converse,axiom,
% 91.92/92.05 ! [V_r_2,T_c,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 91.92/92.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__converse,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.05 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__rel__comp,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__iff,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converseI,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converseD,axiom,
% 91.92/92.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__UNION,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__INTER,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__converse__trancl,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_equiv__comp__eq,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.05 => 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 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__converse,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Domain__converse,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Range__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__converseD,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__converseI,axiom,
% 91.92/92.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__converseD,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__converseI,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__subset__eq,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 <=> 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))))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_refl__on__comp__subset,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_comp__equivI,axiom,
% 91.92/92.05 ! [V_A_2,V_r_2,T_b] :
% 91.92/92.05 ( 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
% 91.92/92.05 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 91.92/92.05 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__acyclic__wf__converse,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 91.92/92.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 91.92/92.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converse__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__INT__eq,axiom,
% 91.92/92.05 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 91.92/92.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_sequence__trans,axiom,
% 91.92/92.05 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 91.92/92.05 ( ! [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)))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__rel__comp,axiom,
% 91.92/92.05 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 91.92/92.05 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__Id,axiom,
% 91.92/92.05 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__subset,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 91.92/92.05 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__Id__on,axiom,
% 91.92/92.05 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__def,axiom,
% 91.92/92.05 ! [V_r_2,T_c,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 91.92/92.05 <=> ! [B_x,B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ! [B_z] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => B_y = B_z ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valuedD,axiom,
% 91.92/92.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => V_y_2 = V_z_2 ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__confluent,axiom,
% 91.92/92.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 | 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))) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Image__Int__eq,axiom,
% 91.92/92.05 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_total__on__diff__Id,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 91.92/92.05 ! [V_R_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_single__valued__rel__pow,axiom,
% 91.92/92.05 ! [V_na_2,V_R_2,T_b] :
% 91.92/92.05 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__commute,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__1,axiom,
% 91.92/92.05 ! [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 ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow__swap1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow__mult,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_comp__funpow,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__exp,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__imp__rtrancl,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__power,axiom,
% 91.92/92.05 ! [V_R_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 91.92/92.05 <=> ? [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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_relpow_Osimps_I2_J,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__add,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_relpow_Osimps_I1_J,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_total__on__empty,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_total__on__converse,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__0__E,axiom,
% 91.92/92.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => V_x_2 = V_y_2 ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__0__I,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__Suc__I2,axiom,
% 91.92/92.05 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__Suc__I,axiom,
% 91.92/92.05 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow_Osimps_I2_J,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow__add,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow_Osimps_I1_J,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_trancl__power,axiom,
% 91.92/92.05 ! [V_R_2,V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 91.92/92.05 <=> ? [B_n] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 91.92/92.05 & 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_total__on__def,axiom,
% 91.92/92.05 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.05 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 91.92/92.05 <=> ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => ! [B_xa] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 91.92/92.05 => ( B_x != B_xa
% 91.92/92.05 => ( 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))
% 91.92/92.05 | 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)) ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_funpow__code__def,axiom,
% 91.92/92.05 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__E2,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.05 => V_x_2 != V_z_2 )
% 91.92/92.05 => ~ ! [B_y,B_m] :
% 91.92/92.05 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ~ 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))) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__E,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.05 => V_x_2 != V_z_2 )
% 91.92/92.05 => ~ ! [B_y,B_m] :
% 91.92/92.05 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => ~ 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)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_acyclicI,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( ! [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)))
% 91.92/92.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 91.92/92.05 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ! [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => B_y = B_x ) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__Un__separatorE,axiom,
% 91.92/92.05 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ! [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => B_x = B_y ) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__Suc__D2,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ? [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 & 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__Suc__E2,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ~ 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__pow__Suc__E,axiom,
% 91.92/92.05 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_y] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_tranclD,axiom,
% 91.92/92.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ? [B_z] :
% 91.92/92.05 ( 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))
% 91.92/92.05 & 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_tranclD2,axiom,
% 91.92/92.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ? [B_z] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 & 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_IdE,axiom,
% 91.92/92.05 ! [V_p_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 91.92/92.05 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_nat__intermed__int__val,axiom,
% 91.92/92.05 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 91.92/92.05 ( ! [B_i] :
% 91.92/92.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 91.92/92.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 91.92/92.05 => 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))) )
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 91.92/92.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 91.92/92.05 => ? [B_i] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 91.92/92.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.05 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_mod__div__decomp,axiom,
% 91.92/92.05 ! [V_b,V_a,T_a] :
% 91.92/92.05 ( class_Divides_Osemiring__div(T_a)
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_wf__eq__minimal,axiom,
% 91.92/92.05 ! [V_r_2,T_b] :
% 91.92/92.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 91.92/92.05 <=> ! [B_Q] :
% 91.92/92.05 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 91.92/92.05 => ? [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 91.92/92.05 & ! [B_y] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_transfer__nat__int__set__cong,axiom,
% 91.92/92.05 ! [V_P_H_2,V_Pa_2] :
% 91.92/92.05 ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 91.92/92.05 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.05 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 91.92/92.05 => 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)) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Int__Collect__mono,axiom,
% 91.92/92.05 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.05 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_UnionE,axiom,
% 91.92/92.05 ! [V_C_2,V_A_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_X] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 91.92/92.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rel__compE,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_x,B_y,B_z] :
% 91.92/92.05 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ~ 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)) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_converseE,axiom,
% 91.92/92.05 ! [V_r_2,V_yx_2,T_c,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_x,B_y] :
% 91.92/92.05 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 91.92/92.05 => ~ 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)) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__pos,axiom,
% 91.92/92.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.05 ( class_Rings_Olinordered__semidom(T_c)
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oof__frac__def,axiom,
% 91.92/92.05 ! [V_q,T_a,T_b] :
% 91.92/92.05 ( ( class_Rings_Oinverse(T_b)
% 91.92/92.05 & class_Rings_Oring__1(T_b) )
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oless__frac__def,axiom,
% 91.92/92.05 ! [V_r_2,V_q_2,T_b] :
% 91.92/92.05 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 91.92/92.05 ! [V_r_2,V_q_2,T_b] :
% 91.92/92.05 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Odenom__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Nitpick_Onum__def,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_internal__split__def,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_setprod__nonneg,axiom,
% 91.92/92.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.05 ( class_Rings_Olinordered__semidom(T_c)
% 91.92/92.05 => ( ! [B_x] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_internal__split__conv,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_bool_Osize_I1_J,axiom,
% 91.92/92.05 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_bool_Osize_I2_J,axiom,
% 91.92/92.05 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_finite__less__ub,axiom,
% 91.92/92.05 ! [V_u_2,V_f_2] :
% 91.92/92.05 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lenlex__def,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexn__length,axiom,
% 91.92/92.05 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 91.92/92.05 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_neq__if__length__neq,axiom,
% 91.92/92.05 ! [V_ys,V_xs,T_a] :
% 91.92/92.05 ( 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)
% 91.92/92.05 => V_xs != V_ys ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lenlex__conv,axiom,
% 91.92/92.05 ! [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)))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_length__sublist,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexn_Osimps_I2_J,axiom,
% 91.92/92.05 ! [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)))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_impossible__Cons,axiom,
% 91.92/92.05 ! [V_x,V_ys,V_xs,T_a] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_not__Cons__self,axiom,
% 91.92/92.05 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_not__Cons__self2,axiom,
% 91.92/92.05 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 91.92/92.05
% 91.92/92.05 fof(fact_list_Oinject,axiom,
% 91.92/92.05 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)
% 91.92/92.05 <=> ( V_a_2 = V_a_H_2
% 91.92/92.05 & V_list_2 = V_list_H_2 ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_list_Osize_I4_J,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Cons__in__lex,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( ( 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))
% 91.92/92.05 & 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) )
% 91.92/92.05 | ( V_x_2 = V_y_2
% 91.92/92.05 & 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_set__Cons__def,axiom,
% 91.92/92.05 ! [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)))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_pick_Osimps,axiom,
% 91.92/92.05 ! [V_xs,V_x,T_a,V_i] :
% 91.92/92.05 ( ( 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)))
% 91.92/92.05 => 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) )
% 91.92/92.05 & ( ~ 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_select__weight__cons__zero,axiom,
% 91.92/92.05 ! [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) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexord__cons__cons,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( 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))
% 91.92/92.05 | ( V_a_2 = V_b_2
% 91.92/92.05 & 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexord__lex,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( 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)))
% 91.92/92.05 & 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) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 91.92/92.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_list_Osize_I2_J,axiom,
% 91.92/92.05 ! [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))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Cons__acc__listrel1I,axiom,
% 91.92/92.05 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1__converse,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1I2,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 91.92/92.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1__eq__len,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_in__listrel1__converse,axiom,
% 91.92/92.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 <=> 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_Cons__listrel1__Cons,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 <=> ( ( 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))
% 91.92/92.05 & V_xs_2 = V_ys_2 )
% 91.92/92.05 | ( V_x_2 = V_y_2
% 91.92/92.05 & 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1I1,axiom,
% 91.92/92.05 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__Cons,axiom,
% 91.92/92.05 ! [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))))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_lexord__linear,axiom,
% 91.92/92.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( ! [B_a,B_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 | B_a = B_b
% 91.92/92.05 | 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)) )
% 91.92/92.05 => ( 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)))
% 91.92/92.05 | V_x_2 = V_y_2
% 91.92/92.05 | 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__rtrancl__refl,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__mono,axiom,
% 91.92/92.05 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 91.92/92.05 ! [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)))) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__eq__len,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__rtrancl__trans,axiom,
% 91.92/92.05 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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))))
% 91.92/92.05 => ( 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))))
% 91.92/92.05 => 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)))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 91.92/92.05 ! [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)) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel1__subset__listrel,axiom,
% 91.92/92.05 ! [V_r_H_2,V_r_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 91.92/92.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => 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)))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel_OCons,axiom,
% 91.92/92.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.05 ( 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))
% 91.92/92.05 => ( 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)))
% 91.92/92.05 => 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))) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrelp__listrel__eq,axiom,
% 91.92/92.05 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 91.92/92.05 ( 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)
% 91.92/92.05 <=> 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))) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrel__Cons1,axiom,
% 91.92/92.05 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 91.92/92.05 ( 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)))
% 91.92/92.05 => ~ ! [B_y,B_ys] :
% 91.92/92.05 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 91.92/92.05 => ( 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))
% 91.92/92.05 => ~ 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))) ) ) ) ).
% 91.92/92.05
% 91.92/92.05 fof(fact_listrelp_OCons,axiom,
% 91.92/92.05 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 91.92/92.05 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 91.92/92.05 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 91.92/92.05 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrelp_Oequations_I2_J,axiom,
% 91.92/92.06 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 91.92/92.06 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__Cons2,axiom,
% 91.92/92.06 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ~ ! [B_x,B_xs] :
% 91.92/92.06 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 91.92/92.06 => ( 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))
% 91.92/92.06 => ~ 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))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__subset,axiom,
% 91.92/92.06 ! [V_A_2,V_r_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__UNIV,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__mono,axiom,
% 91.92/92.06 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_equiv__listrel,axiom,
% 91.92/92.06 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__refl__on,axiom,
% 91.92/92.06 ! [V_r_2,V_A_2,T_b] :
% 91.92/92.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Cons__in__lists__iff,axiom,
% 91.92/92.06 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__accI,axiom,
% 91.92/92.06 ! [V_r_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__accD,axiom,
% 91.92/92.06 ! [V_r_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__iff__nth,axiom,
% 91.92/92.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__irreflexive,axiom,
% 91.92/92.06 ! [V_y_2,V_r_2,T_b] :
% 91.92/92.06 ( ! [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))
% 91.92/92.06 => ~ 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_infinite__UNIV__listI,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__eq__iff__nth__eq,axiom,
% 91.92/92.06 ! [T_b,V_ys_2,V_xs_2] :
% 91.92/92.06 ( V_xs_2 = V_ys_2
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__Cons__0,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__Cons__Suc,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth_Osimps,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__Cons_H,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_n] :
% 91.92/92.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 91.92/92.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__Cons__number__of,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_v] :
% 91.92/92.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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 )
% 91.92/92.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__take__index__conv,axiom,
% 91.92/92.06 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( ( 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)))
% 91.92/92.06 & 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 )
% 91.92/92.06 | ? [B_i] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 91.92/92.06 & 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__sublist,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_finite__set,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__subset__Cons,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__all,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__take__subset,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__take__subset__set__take,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__sublist__subset,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__take,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_notin__set__sublistI,axiom,
% 91.92/92.06 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ~ 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__takeD,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__sublistD,axiom,
% 91.92/92.06 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__ConsD,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => ( V_y_2 = V_x_2
% 91.92/92.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Suc__Cons,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__take,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__take,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__upt__eq__take,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_card__length,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_all__set__conv__all__nth,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.06 <=> ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__size__estimation,axiom,
% 91.92/92.06 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__size__estimation_H,axiom,
% 91.92/92.06 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__lists__conv__set,axiom,
% 91.92/92.06 ! [V_A_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__pos__if__in__set,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__mem,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_na_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__conv__nth,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 <=> ? [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__eq__set,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__conv__nth,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_finite__lists__length__eq,axiom,
% 91.92/92.06 ! [V_na_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_finite__lists__length__le,axiom,
% 91.92/92.06 ! [V_na_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__iff__zip,axiom,
% 91.92/92.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__zip,axiom,
% 91.92/92.06 ! [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)))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__zip,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__zip,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__Cons__Cons,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__eq__iff__zip__eq,axiom,
% 91.92/92.06 ! [T_b,V_ys_2,V_xs_2] :
% 91.92/92.06 ( V_xs_2 = V_ys_2
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__zipE,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__zip__rightD,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__zip__leftD,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__same,axiom,
% 91.92/92.06 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 & V_a_2 = V_b_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__zip,axiom,
% 91.92/92.06 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_greaterThanLessThan__upto,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__setsum__nth,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 91.92/92.06 ! [V_ns_2] :
% 91.92/92.06 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 91.92/92.06 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__upto,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atLeastAtMost__upto,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_elem__le__listsum__nat,axiom,
% 91.92/92.06 ! [V_ns,V_k] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__simps_I2_J,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_a)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atLeastLessThan__upto,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_greaterThanAtMost__upto,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__list__def,axiom,
% 91.92/92.06 ! [V_l_2] :
% 91.92/92.06 ( c_List_Onat__list(V_l_2)
% 91.92/92.06 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__size__pointwise,axiom,
% 91.92/92.06 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 91.92/92.06 ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__update__nat,axiom,
% 91.92/92.06 ! [V_n,V_ns,V_k] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__take,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__beyond,axiom,
% 91.92/92.06 ! [V_x,V_i,V_xs,T_a] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__list__update__neq,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a,V_j,V_i] :
% 91.92/92.06 ( V_i != V_j
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__id,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__list__update,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a,V_k] :
% 91.92/92.06 ( ( 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))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( 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))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__list__update,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__update,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_update__zip,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__overwrite,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__swap,axiom,
% 91.92/92.06 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 91.92/92.06 ( V_i != V_i_H
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__code_I2_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__code_I3_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__butlastD,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__update__subsetI,axiom,
% 91.92/92.06 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__update__subset__insert,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__list__update__eq,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__same__conv,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 91.92/92.06 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__list__update,axiom,
% 91.92/92.06 ! [V_x,V_j,V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ( V_i = V_j
% 91.92/92.06 => 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 )
% 91.92/92.06 & ( V_i != V_j
% 91.92/92.06 => 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) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__butlast,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__butlast,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__update__memI,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__conv__take,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel1__iff__update,axiom,
% 91.92/92.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ? [B_y,B_n] :
% 91.92/92.06 ( 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))
% 91.92/92.06 & 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)))
% 91.92/92.06 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__list__update,axiom,
% 91.92/92.06 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => ( ~ 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))))))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__upto,axiom,
% 91.92/92.06 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__take,axiom,
% 91.92/92.06 ! [V_i,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__sublistI,axiom,
% 91.92/92.06 ! [V_I_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__zipI1,axiom,
% 91.92/92.06 ! [V_ys,T_b,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__zipI2,axiom,
% 91.92/92.06 ! [V_xs,T_b,V_ys,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 91.92/92.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_card__distinct,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__card,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__eq__iff__index__eq,axiom,
% 91.92/92.06 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => ( 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)
% 91.92/92.06 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__conv__nth,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 <=> ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ! [B_j] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( B_i != B_j
% 91.92/92.06 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nitpick_Ocard_H__def,axiom,
% 91.92/92.06 ! [V_A_2,T_b] :
% 91.92/92.06 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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)))) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__take__lemma,axiom,
% 91.92/92.06 ! [V_ys,V_xs,T_a,V_k] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => ( ! [B_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 91.92/92.06 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 91.92/92.06 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__remove1__eq,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Cons__number__of,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_v] :
% 91.92/92.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists_ONil,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__Nil2,axiom,
% 91.92/92.06 ! [V_r_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__Nil1,axiom,
% 91.92/92.06 ! [V_r_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__butlast,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__remove1,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_x,T_a,V_xs] :
% 91.92/92.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 91.92/92.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osimps_I3_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_y,V_x] :
% 91.92/92.06 ( ( V_x = V_y
% 91.92/92.06 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 91.92/92.06 & ( V_x != V_y
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upto__empty,axiom,
% 91.92/92.06 ! [V_i,V_j] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 91.92/92.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__eq__Nil,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__0,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Nil,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__nil,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__commute,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1_Osimps_I1_J,axiom,
% 91.92/92.06 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrelp_Oequations_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrelp_ONil,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__Nil,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__simps_I1_J,axiom,
% 91.92/92.06 ! [T_a] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_a)
% 91.92/92.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__0__conv,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osize_I3_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__empty,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__empty2,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__code_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__nonempty,axiom,
% 91.92/92.06 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osize_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__idem,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_notin__set__remove1,axiom,
% 91.92/92.06 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ~ 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__remove1,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 91.92/92.06 ( V_a_2 != V_b_2
% 91.92/92.06 => ( 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))))
% 91.92/92.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__empty,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__remove1__subset,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__greater__0__conv,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__1__Cons,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_not__listrel1__Nil,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_not__Nil__listrel1,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel_ONil,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__Nil__right,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil2__notin__lex,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil__notin__lex,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upto_Osimps,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 91.92/92.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__singleton,axiom,
% 91.92/92.06 ! [V_x_2,T_b,V_A_2] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__empty,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Cons_H,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_n] :
% 91.92/92.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upto__rec__number__of,axiom,
% 91.92/92.06 ! [V_n,V_m] :
% 91.92/92.06 ( ( 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)))
% 91.92/92.06 => 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))) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel__Nil,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__Cons__sing__Nil,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__remove1,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upto_Opsimps,axiom,
% 91.92/92.06 ! [V_j_2,V_i_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 91.92/92.06 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select,axiom,
% 91.92/92.06 ! [V_s_2,T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listset_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__Cons1,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osimps_I5_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list_Osimps_I4_J,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listset_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__Cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set__remove,axiom,
% 91.92/92.06 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upto_Opinduct,axiom,
% 91.92/92.06 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ! [B_i,B_j] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 91.92/92.06 => 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)) )
% 91.92/92.06 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 91.92/92.06 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set__empty,axiom,
% 91.92/92.06 ! [T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_anamorph_Osimps,axiom,
% 91.92/92.06 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 91.92/92.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__Cons,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__eq__Cons__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 91.92/92.06 | ? [B_ys_H] :
% 91.92/92.06 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 91.92/92.06 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Cons__eq__append__conv,axiom,
% 91.92/92.06 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 91.92/92.06 | ? [B_ys_H] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 91.92/92.06 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append1__eq__conv,axiom,
% 91.92/92.06 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( V_xs_2 = V_ys_2
% 91.92/92.06 & V_x_2 = V_y_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__Cons,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Cons__eq__appendI,axiom,
% 91.92/92.06 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 91.92/92.06 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 91.92/92.06 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__in__lists__conv,axiom,
% 91.92/92.06 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 91.92/92.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__eq__appendI,axiom,
% 91.92/92.06 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 91.92/92.06 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 91.92/92.06 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__same__eq,axiom,
% 91.92/92.06 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> V_ys_2 = V_zs_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_same__append__eq,axiom,
% 91.92/92.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> V_ys_2 = V_zs_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__eq__append__conv2,axiom,
% 91.92/92.06 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ? [B_us] :
% 91.92/92.06 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 91.92/92.06 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 91.92/92.06 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 91.92/92.06 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__assoc,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__append,axiom,
% 91.92/92.06 ! [V_ys,V_xs,T_a] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_a)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__append,axiom,
% 91.92/92.06 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( 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)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__Nil,axiom,
% 91.92/92.06 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil__is__append__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 91.92/92.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__Nil2,axiom,
% 91.92/92.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 91.92/92.06
% 91.92/92.06 fof(fact_self__append__conv,axiom,
% 91.92/92.06 ! [V_ys_2,T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 91.92/92.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_self__append__conv2,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_ys_2] :
% 91.92/92.06 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__is__Nil__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__self__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 91.92/92.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__self__conv2,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_eq__Nil__appendI,axiom,
% 91.92/92.06 ! [T_a,V_ys,V_xs] :
% 91.92/92.06 ( V_xs = V_ys
% 91.92/92.06 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__append,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_ys] :
% 91.92/92.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 91.92/92.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__append__length,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__append__length__plus,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__append1,axiom,
% 91.92/92.06 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__length,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__append,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__butlast__appendI,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 91.92/92.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 91.92/92.06 => 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__snoc,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__listrel1I,axiom,
% 91.92/92.06 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( ( ( 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)))
% 91.92/92.06 & V_us_2 = V_vs_2 )
% 91.92/92.06 | ( V_xs_2 = V_ys_2
% 91.92/92.06 & 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))) ) )
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__append__leftI,axiom,
% 91.92/92.06 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__append,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 91.92/92.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 91.92/92.06 & 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__append,axiom,
% 91.92/92.06 ! [V_ys,V_xs,T_a,V_n] :
% 91.92/92.06 ( ( 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)))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__update__append,axiom,
% 91.92/92.06 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 91.92/92.06 ( ( 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)))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__append,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel1I,axiom,
% 91.92/92.06 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => ( 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))
% 91.92/92.06 => ( 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))
% 91.92/92.06 => 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))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__append__left__rightI,axiom,
% 91.92/92.06 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Suc__conv__app__nth,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 91.92/92.06 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ( ( 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)))
% 91.92/92.06 & V_x_2 = V_y_2 )
% 91.92/92.06 | ( V_xs_2 = V_ys_2
% 91.92/92.06 & 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listrel1E,axiom,
% 91.92/92.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ~ ! [B_x,B_y] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => ! [B_us,B_vs] :
% 91.92/92.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 91.92/92.06 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__append__leftD,axiom,
% 91.92/92.06 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ! [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))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate1__def,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upd__conv__take__nth__drop,axiom,
% 91.92/92.06 ! [V_a,V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__take__drop__id,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__1__Cons,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Suc__Cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__via__drop,axiom,
% 91.92/92.06 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 91.92/92.06 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__drop,axiom,
% 91.92/92.06 ! [V_i,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct1__rotate,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 91.92/92.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_butlast__drop,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__butlast,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__drop,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__take,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__drop,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__0,axiom,
% 91.92/92.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__zip,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__rotate1,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__drop,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__rotate1,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__set__dropD,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__drop__subset,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Nil,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate1__is__Nil__conv,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__drop__subset__set__drop,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__eq__Nil,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__all,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__eq__conv__conj,axiom,
% 91.92/92.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Cons_H,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_n] :
% 91.92/92.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__drop,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_i,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__eq__append__conv__if,axiom,
% 91.92/92.06 ! [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] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ( ( 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)))
% 91.92/92.06 => ( 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)
% 91.92/92.06 & 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) ) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => ( 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
% 91.92/92.06 & 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 ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__drop_H,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__simps,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_b,T_a] :
% 91.92/92.06 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 91.92/92.06 & 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Cons__number__of,axiom,
% 91.92/92.06 ! [V_xs,V_x,T_a,V_v] :
% 91.92/92.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__add,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_j,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate1__length01,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__append1,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__append2,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_id__take__nth__drop,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__hd__drop,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__drop__conv__nth,axiom,
% 91.92/92.06 ! [V_n,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd_Osimps,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__append2,axiom,
% 91.92/92.06 ! [V_ys,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__append,axiom,
% 91.92/92.06 ! [V_ys,T_a,V_xs] :
% 91.92/92.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__in__set,axiom,
% 91.92/92.06 ! [T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__conv__nth,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate1__hd__tl,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__rotate__conv__nth,axiom,
% 91.92/92.06 ! [V_n,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__tl,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl__drop,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__tl,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__rotate,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 91.92/92.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__add,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__rotate,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate0,axiom,
% 91.92/92.06 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__rotate,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__rotate,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__is__Nil__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate1__rotate__swap,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__def,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl__append2,axiom,
% 91.92/92.06 ! [V_ys,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__tl,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__conv__mod,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__Suc,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__Suc,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl__append,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__id,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__length01,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__tl,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_tl__take,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__Suc,axiom,
% 91.92/92.06 ! [V_n,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__drop__take,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_fold1__set,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 91.92/92.06 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__append__rightI,axiom,
% 91.92/92.06 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 91.92/92.06 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__Nil,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_start__le__sum,axiom,
% 91.92/92.06 ! [V_ns_2,V_na_2,V_m_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__absorb0,axiom,
% 91.92/92.06 ! [V_zs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__assoc,axiom,
% 91.92/92.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Groups_Osemigroup__add(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__Cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__append,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__foldl,axiom,
% 91.92/92.06 ! [T_b] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sum__eq__0__conv,axiom,
% 91.92/92.06 ! [V_ns_2,V_m_2] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 91.92/92.06 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 91.92/92.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Sup__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Inf__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Sup__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Lattices_Olattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Inf__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Lattices_Olattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Min__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Max__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_SUPR__set__fold,axiom,
% 91.92/92.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 91.92/92.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_INFI__set__fold,axiom,
% 91.92/92.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 91.92/92.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_elem__le__sum,axiom,
% 91.92/92.06 ! [V_ns_2,V_na_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set__insert,axiom,
% 91.92/92.06 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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)))))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lexord__Nil__left,axiom,
% 91.92/92.06 ! [V_r_2,V_y_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__key_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( ( 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)))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__key_Osimps_I1_J,axiom,
% 91.92/92.06 ! [V_x_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__key__left__comm,axiom,
% 91.92/92.06 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__left__comm,axiom,
% 91.92/92.06 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_fun__left__comm__insort,axiom,
% 91.92/92.06 ! [T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__not__Nil,axiom,
% 91.92/92.06 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__insert__insort__key,axiom,
% 91.92/92.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( ~ 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))))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__insert__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__insort__insert,axiom,
% 91.92/92.06 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__insert__triv,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__insort__insert,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__insert__key__triv,axiom,
% 91.92/92.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( 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))))
% 91.92/92.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__list__update,axiom,
% 91.92/92.06 ! [V_x,V_k,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => ( ( 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))
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 91.92/92.06 & ( 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))
% 91.92/92.06 => 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) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__conv__nth,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last_Osimps,axiom,
% 91.92/92.06 ! [V_x,T_a,V_xs] :
% 91.92/92.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 91.92/92.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__ConsR,axiom,
% 91.92/92.06 ! [V_x,T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__ConsL,axiom,
% 91.92/92.06 ! [V_x,T_a,V_xs] :
% 91.92/92.06 ( V_xs = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__append,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_ys] :
% 91.92/92.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 91.92/92.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__appendR,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_ys] :
% 91.92/92.06 ( V_ys != c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__appendL,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_ys] :
% 91.92/92.06 ( V_ys = c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__in__set,axiom,
% 91.92/92.06 ! [T_b,V_as_2] :
% 91.92/92.06 ( V_as_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__snoc,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__drop,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__butlast__last__id,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => 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 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_snoc__eq__iff__butlast,axiom,
% 91.92/92.06 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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
% 91.92/92.06 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 91.92/92.06 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists_Osimps,axiom,
% 91.92/92.06 ! [V_A_2,V_a_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 91.92/92.06 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 | ? [B_a,B_l] :
% 91.92/92.06 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 91.92/92.06 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 91.92/92.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select__weigth__select,axiom,
% 91.92/92.06 ! [T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__mapI,axiom,
% 91.92/92.06 ! [V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__map,axiom,
% 91.92/92.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__tl,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__same__conv__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__map__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__map1,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__zip__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__zip__map2,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__map2,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__is__Nil__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil__is__map__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__update,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__eq__conv,axiom,
% 91.92/92.06 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 91.92/92.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__eq__imp__length__eq,axiom,
% 91.92/92.06 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__0,axiom,
% 91.92/92.06 ! [V_xs_2,T_c,T_b] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__const__mult,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 91.92/92.06 ( class_Rings_Osemiring__0(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__mult__const,axiom,
% 91.92/92.06 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Rings_Osemiring__0(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__subtractf,axiom,
% 91.92/92.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__addf,axiom,
% 91.92/92.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__map__eq__map,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.06 => ( 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)
% 91.92/92.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__injective,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 91.92/92.06 => V_xs_2 = V_ys_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__ident,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__butlast,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__map,axiom,
% 91.92/92.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Omap_Ocomp,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__comp__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Omap_Ocompositionality,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Omap_Oidentity,axiom,
% 91.92/92.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__size__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_List_Omap_Oid,axiom,
% 91.92/92.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__on__map__eq__map,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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)
% 91.92/92.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__inj__on,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => V_xs_2 = V_ys_2 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__map,axiom,
% 91.92/92.06 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__fun__upd,axiom,
% 91.92/92.06 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 91.92/92.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__map,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 91.92/92.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 91.92/92.06 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__abs,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_uminus__listsum__map,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Groups_Oab__group__add(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__on__mapI,axiom,
% 91.92/92.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__mapD,axiom,
% 91.92/92.06 ! [V_f_2,T_c,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__map,axiom,
% 91.92/92.06 ! [V_f_2,T_c,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 91.92/92.06 ! [V_f_2,V_xs_2,T_b,T_c] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__triv,axiom,
% 91.92/92.06 ! [V_xs_2,V_r_2,T_c,T_b] :
% 91.92/92.06 ( class_Rings_Osemiring__1(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__map__remove1,axiom,
% 91.92/92.06 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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)))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 91.92/92.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.06 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => 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))))) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_pick__same,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_l_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zero__code__numeral__def,axiom,
% 91.92/92.06 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 91.92/92.06 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 91.92/92.06 ! [V_m_2,V_na_2] :
% 91.92/92.06 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 91.92/92.06 <=> V_na_2 = V_m_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_times__code__numeral__code,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_one__code__numeral__def,axiom,
% 91.92/92.06 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_less__code__numeral__code,axiom,
% 91.92/92.06 ! [V_m_2,V_na_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 91.92/92.06 ! [V_y_2,V_x_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 91.92/92.06 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 91.92/92.06 <=> V_x_2 = V_y_2 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__fst__zip,axiom,
% 91.92/92.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => 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 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__snd__zip,axiom,
% 91.92/92.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => 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 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_number__of__code__numeral__def,axiom,
% 91.92/92.06 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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__map__fst__snd,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_plus__code__numeral__code,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_less__eq__code__numeral__code,axiom,
% 91.92/92.06 ! [V_m_2,V_na_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_pick__member,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_i_2] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__eq__conv,axiom,
% 91.92/92.06 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 91.92/92.06 <=> ( 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
% 91.92/92.06 & 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 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__size__conv__listsum,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_code__numeral__not__eq__zero,axiom,
% 91.92/92.06 ! [V_i_2] :
% 91.92/92.06 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.06 <=> 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 91.92/92.06 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 91.92/92.06 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select__weight__member,axiom,
% 91.92/92.06 ! [V_s_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select__weight__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_subtract__code__numeral__code,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of__inverse,axiom,
% 91.92/92.06 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 91.92/92.06
% 91.92/92.06 fof(fact_of__nat__nat__of,axiom,
% 91.92/92.06 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of__of__nat,axiom,
% 91.92/92.06 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 91.92/92.06 ! [V_l_2,V_k_2] :
% 91.92/92.06 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 91.92/92.06 <=> V_k_2 = V_l_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_code__numeral_Onat__of__inject,axiom,
% 91.92/92.06 ! [V_y_2,V_x_2] :
% 91.92/92.06 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 91.92/92.06 <=> V_x_2 = V_y_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_times__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_type__definition__code__numeral,axiom,
% 91.92/92.06 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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_less__code__numeral__def,axiom,
% 91.92/92.06 ! [V_m_2,V_na_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 91.92/92.06 <=> 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of__number,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_int__of__def,axiom,
% 91.92/92.06 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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_less__eq__code__numeral__def,axiom,
% 91.92/92.06 ! [V_m_2,V_na_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 91.92/92.06 <=> 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of__code,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nat__of__aux__def,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Suc__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_minus__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_of__nat__inverse,axiom,
% 91.92/92.06 ! [V_y_2] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 91.92/92.06 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_plus__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_div__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_subtract__code__numeral__def,axiom,
% 91.92/92.06 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_minus__code__numeral__code,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_mod__code__numeral__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_code__numeral__decr,axiom,
% 91.92/92.06 ! [V_k] :
% 91.92/92.06 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__mono,axiom,
% 91.92/92.06 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 91.92/92.06 ( ( class_Groups_Omonoid__add(T_c)
% 91.92/92.06 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 91.92/92.06 => ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 91.92/92.06 => 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)))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition__set,axiom,
% 91.92/92.06 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__Int__eq,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp_ONil,axiom,
% 91.92/92.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp_Oequations_I1_J,axiom,
% 91.92/92.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_in__listsp__conv__set,axiom,
% 91.92/92.06 ! [V_xs_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp__conj__eq,axiom,
% 91.92/92.06 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 91.92/92.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp__infI,axiom,
% 91.92/92.06 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp__inf__eq,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp_Oequations_I2_J,axiom,
% 91.92/92.06 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 91.92/92.06 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 91.92/92.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_append__in__listsp__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 91.92/92.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 91.92/92.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp__mono,axiom,
% 91.92/92.06 ! [V_B_2,V_A_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition__P,axiom,
% 91.92/92.06 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 91.92/92.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsp__lists__eq,axiom,
% 91.92/92.06 ! [V_x_2,V_A_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_lists__IntI,axiom,
% 91.92/92.06 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_product_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__def,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__map1,axiom,
% 91.92/92.06 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__map2,axiom,
% 91.92/92.06 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__dropI,axiom,
% 91.92/92.06 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__appendI,axiom,
% 91.92/92.06 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 91.92/92.06 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__append,axiom,
% 91.92/92.06 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => ( 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))
% 91.92/92.06 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__Cons,axiom,
% 91.92/92.06 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 91.92/92.06 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__takeI,axiom,
% 91.92/92.06 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__eq,axiom,
% 91.92/92.06 ! [T_b,V_ys_2,V_xs_2] :
% 91.92/92.06 ( V_xs_2 = V_ys_2
% 91.92/92.06 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__lengthD,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__Nil,axiom,
% 91.92/92.06 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 91.92/92.06 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__Nil2,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_product_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__nthD2,axiom,
% 91.92/92.06 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__nthD,axiom,
% 91.92/92.06 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__conv__all__nth,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 <=> ( 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)
% 91.92/92.06 & ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__update__cong2,axiom,
% 91.92/92.06 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__update__cong,axiom,
% 91.92/92.06 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__product,axiom,
% 91.92/92.06 ! [V_ys,T_b,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_product__list__set,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublists__powset,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__sublists,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublists_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublists_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__set__sublists,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__n__lists,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_enum__the__def,axiom,
% 91.92/92.06 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__n__lists,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_n__lists__Nil,axiom,
% 91.92/92.06 ! [T_a,V_n] :
% 91.92/92.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => 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))) )
% 91.92/92.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_n__lists_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__n__lists,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__n__lists__elem,axiom,
% 91.92/92.06 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2I,axiom,
% 91.92/92.06 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 91.92/92.06 ( ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 91.92/92.06 => ( 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)
% 91.92/92.06 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_all__nth__imp__all__set,axiom,
% 91.92/92.06 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 91.92/92.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__removeAll__inj__on,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__remdups,axiom,
% 91.92/92.06 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__remdups__leq,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__remdups__id,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__removeAll,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__id__iff__distinct,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 91.92/92.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__remdups,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__remdups__eq,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__remdups,axiom,
% 91.92/92.06 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__eq__nil__iff,axiom,
% 91.92/92.06 ! [V_x_2,T_b] :
% 91.92/92.06 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll_Osimps_I1_J,axiom,
% 91.92/92.06 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__eq__nil__right__iff,axiom,
% 91.92/92.06 ! [V_x_2,T_b] :
% 91.92/92.06 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 91.92/92.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_y,V_x] :
% 91.92/92.06 ( ( V_x = V_y
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_x != V_y
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__map__remdups,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__remdups,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll__id,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__remove1__removeAll,axiom,
% 91.92/92.06 ! [V_x,V_xs,T_a] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.06 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__remdups__card__conv,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__removeAll__inj,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__removeAll,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__remdups__concat,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__conv__foldl,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sort__key__simps_I1_J,axiom,
% 91.92/92.06 ! [V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__conv__concat,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__sort,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__sort,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__sort,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 91.92/92.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__eq__Nil__conv,axiom,
% 91.92/92.06 ! [V_xss_2,T_b] :
% 91.92/92.06 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 91.92/92.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil__eq__concat__conv,axiom,
% 91.92/92.06 ! [V_xss_2,T_b] :
% 91.92/92.06 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 91.92/92.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__concat,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__concat,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__concat,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sort__key__simps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sort__foldl__insort,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__injective,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 91.92/92.06 => ( 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)
% 91.92/92.06 => ( ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)) )
% 91.92/92.06 => V_xs_2 = V_ys_2 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__eq__concat__iff,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( ! [B_x] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)) )
% 91.92/92.06 => ( 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)
% 91.92/92.06 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 91.92/92.06 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_concat__map__singleton,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_n__lists_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Osimps_I3_J,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__aux__filter__head,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__concat,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__sort,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__filter,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sum__length__filter__compl,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__is__subset,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__id__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__filter__le,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition__filter__conv,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition__filter2,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_partition__filter1,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__filter,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__remove1,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remove1__filter__not,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__insort__triv,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__empty__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__filter__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll__filter__not__eq,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_remdups__filter,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_removeAll__filter__not,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__transpose,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_i_2] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__map__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__filter,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__filter__less,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__minus__filter__out,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__in__sublist,axiom,
% 91.92/92.06 ! [V_s_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__empty,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 91.92/92.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__filter__conv__card,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__aux__filter__tail,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Opsimps_I3_J,axiom,
% 91.92/92.06 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Opsimps_I2_J,axiom,
% 91.92/92.06 ! [V_xss_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__shift__lemma__Suc,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_select__weigth__drop__zero,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_pick__drop__zero,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose_Opsimps_I1_J,axiom,
% 91.92/92.06 ! [T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__max__length,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__aux__max,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr__conv__foldl,axiom,
% 91.92/92.06 ! [V_a_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Groups_Oab__semigroup__add(T_b)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr__map,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__foldr1,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__foldr1__lemma,axiom,
% 91.92/92.06 ! [V_xs_2,V_a_2,T_b] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__transpose,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__def,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sublist__shift__lemma,axiom,
% 91.92/92.06 ! [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))))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__upt,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atLeastLessThan__upt,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__Suc__append,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__Suc,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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))) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__add__eq__append,axiom,
% 91.92/92.06 ! [V_k,V_j,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__rec,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__conv__Cons,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__conv__Nil,axiom,
% 91.92/92.06 ! [V_i,V_j] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 91.92/92.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__eq__Nil__conv,axiom,
% 91.92/92.06 ! [V_j_2,V_i_2] :
% 91.92/92.06 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 91.92/92.06 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__0,axiom,
% 91.92/92.06 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_take__upt,axiom,
% 91.92/92.06 ! [V_n,V_m,V_i] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set__range,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__upt,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_drop__upt,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__upt,axiom,
% 91.92/92.06 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__upt,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__rec__number__of,axiom,
% 91.92/92.06 ! [V_n,V_m] :
% 91.92/92.06 ( ( 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)))
% 91.92/92.06 => 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))) )
% 91.92/92.06 & ( ~ 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)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_upt__eq__Cons__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 91.92/92.06 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 91.92/92.06 & V_i_2 = V_x_2
% 91.92/92.06 & 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 ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__upt,axiom,
% 91.92/92.06 ! [V_j,V_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__Suc__upt,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atLeastAtMost__upt,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atLeast__upt,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__upt,axiom,
% 91.92/92.06 ! [V_j,V_k,V_i] :
% 91.92/92.06 ( 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))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_greaterThanAtMost__upt,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_greaterThanLessThan__upt,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_atMost__upto,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__nth,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 91.92/92.06 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 91.92/92.06 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__map__upt,axiom,
% 91.92/92.06 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__rectangle,axiom,
% 91.92/92.06 ! [V_na_2,T_b,V_xs_2] :
% 91.92/92.06 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 91.92/92.06 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 91.92/92.06 => ( ! [B_i] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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 )
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__key__remove1,axiom,
% 91.92/92.06 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 91.92/92.06 => ( 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
% 91.92/92.06 => 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 ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted_ONil,axiom,
% 91.92/92.06 ! [T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__single,axiom,
% 91.92/92.06 ! [V_x,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__upt,axiom,
% 91.92/92.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__sort,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__insort__insert,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__drop,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__upto,axiom,
% 91.92/92.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__take,axiom,
% 91.92/92.06 ! [V_n,V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__remove1,axiom,
% 91.92/92.06 ! [V_a,V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__tl,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__insort,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( 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))
% 91.92/92.06 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__butlast,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted_Oequations_I1_J,axiom,
% 91.92/92.06 ! [T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__many__eq,axiom,
% 91.92/92.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 91.92/92.06 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__many,axiom,
% 91.92/92.06 ! [V_zs,V_y,V_x,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 91.92/92.06 => 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))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__remdups,axiom,
% 91.92/92.06 ! [V_l,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__distinct__set__unique,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 91.92/92.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 91.92/92.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__sort__key,axiom,
% 91.92/92.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__insort__insert__key,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__map__remove1,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__insort__key,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__map__same,axiom,
% 91.92/92.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__filter,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__same,axiom,
% 91.92/92.06 ! [V_xs_2,V_g_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__Cons,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 91.92/92.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__append,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 91.92/92.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 91.92/92.06 & ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ! [B_xa] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__insort,axiom,
% 91.92/92.06 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 91.92/92.06 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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)) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted_Oequations_I2_J,axiom,
% 91.92/92.06 ! [V_a1_2,V_a2_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 91.92/92.06 <=> ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 91.92/92.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 91.92/92.06 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__list__of__set,axiom,
% 91.92/92.06 ! [V_A_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.06 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 91.92/92.06 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 91.92/92.06 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_insort__remove1,axiom,
% 91.92/92.06 ! [V_xs_2,V_a_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 => 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 ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__nth__mono,axiom,
% 91.92/92.06 ! [V_j,V_i,V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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))) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__equals__nth__mono,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 <=> ! [B_j] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ! [B_i] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 91.92/92.06 => 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))) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_map__sorted__distinct__set__unique,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_c)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 91.92/92.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 91.92/92.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__column,axiom,
% 91.92/92.06 ! [V_i_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__nth__transpose__sorted,axiom,
% 91.92/92.06 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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))))
% 91.92/92.06 => ( 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))))
% 91.92/92.06 => 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) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_inj__on__rev,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__rev,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 91.92/92.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__is__Nil__conv,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_Nil__is__rev__conv,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 91.92/92.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev_Osimps_I1_J,axiom,
% 91.92/92.06 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_singleton__rev__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__singleton__conv,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__append,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__concat,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__filter,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__rev,axiom,
% 91.92/92.06 ! [V_ys,T_b,V_xs,T_a] :
% 91.92/92.06 ( 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)
% 91.92/92.06 => 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)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__rev,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__rev,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( 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))
% 91.92/92.06 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_list__all2__rev1,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 91.92/92.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 91.92/92.06 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__rev__ident,axiom,
% 91.92/92.06 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__swap,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 91.92/92.06 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__is__rev__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 91.92/92.06 <=> V_xs_2 = V_ys_2 ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__rev,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( class_Groups_Ocomm__monoid__add(T_a)
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__rev,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldl__foldr,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr__foldl,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__eq__Cons__iff,axiom,
% 91.92/92.06 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 91.92/92.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 91.92/92.06 <=> 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev_Osimps_I2_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__rev,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_last__rev,axiom,
% 91.92/92.06 ! [T_a,V_xs] :
% 91.92/92.06 ( V_xs != c_List_Olist_ONil(T_a)
% 91.92/92.06 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__transpose,axiom,
% 91.92/92.06 ! [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)))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__foldl__cons,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__drop,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__take,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rotate__rev,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__nth,axiom,
% 91.92/92.06 ! [V_xs,T_a,V_n] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_rev__update,axiom,
% 91.92/92.06 ! [V_y,V_xs,T_a,V_k] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__rev__nth__mono,axiom,
% 91.92/92.06 ! [V_j,V_i,V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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))) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_foldr__max__sorted,axiom,
% 91.92/92.06 ! [V_y_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 91.92/92.06 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 91.92/92.06 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 91.92/92.06 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => 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) ) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__transpose__sorted,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 91.92/92.06 => 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))) ) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__column__length,axiom,
% 91.92/92.06 ! [V_i_2,V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transpose__transpose,axiom,
% 91.92/92.06 ! [V_xs_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 91.92/92.06 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__takeWhile,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__takeWhile__le,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__eq__all__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_set__takeWhileD,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__takeWhile__snd,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_zip__takeWhile__fst,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__tail,axiom,
% 91.92/92.06 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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)) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__eq__take,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__takeWhile,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_return__list__def,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__append1,axiom,
% 91.92/92.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_nth__length__takeWhile,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( 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)))
% 91.92/92.06 => ~ 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))))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__nth,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__not__last,axiom,
% 91.92/92.06 ! [T_b,V_xs_2] :
% 91.92/92.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 91.92/92.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 91.92/92.06 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( 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)))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 91.92/92.06 ! [V_l] :
% 91.92/92.06 ( c_List_Onat__list(V_l)
% 91.92/92.06 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_embed__list__def,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__neq__rev,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__neq__rev,axiom,
% 91.92/92.06 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => 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))) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_takeWhile__dropWhile__id,axiom,
% 91.92/92.06 ! [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 ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__dropWhile,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_b)
% 91.92/92.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_length__dropWhile__le,axiom,
% 91.92/92.06 ! [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))) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 91.92/92.06 <=> ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 91.92/92.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) )
% 91.92/92.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_distinct__dropWhile,axiom,
% 91.92/92.06 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 91.92/92.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_hd__dropWhile,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 91.92/92.06 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__map,axiom,
% 91.92/92.06 ! [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)) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__append1,axiom,
% 91.92/92.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.06 => 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) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 91.92/92.06 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 91.92/92.06 ( 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)
% 91.92/92.06 <=> ( 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))
% 91.92/92.06 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__eq__drop,axiom,
% 91.92/92.06 ! [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) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_dropWhile__nth,axiom,
% 91.92/92.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 91.92/92.06 ( 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))))
% 91.92/92.06 => 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)))) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_listsum__map__filter,axiom,
% 91.92/92.06 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 91.92/92.06 ( class_Groups_Omonoid__add(T_c)
% 91.92/92.06 => ( ! [B_x] :
% 91.92/92.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.06 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 91.92/92.06 => 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)) ) ) ).
% 91.92/92.06
% 91.92/92.06 fof(fact_sorted__nth__monoI,axiom,
% 91.92/92.06 ! [V_xs,T_a] :
% 91.92/92.06 ( class_Orderings_Olinorder(T_a)
% 91.92/92.06 => ( ! [B_i,B_j] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 91.92/92.07 => ( 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)))
% 91.92/92.07 => 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))) ) )
% 91.92/92.07 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_takeWhile__eq__filter,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 91.92/92.07 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 91.92/92.07 ( ! [B_i] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 91.92/92.07 => ( 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)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 91.92/92.07 => ( ( 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)))
% 91.92/92.07 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 91.92/92.07 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_length__takeWhile__less__P__nth,axiom,
% 91.92/92.07 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 91.92/92.07 ( ! [B_i] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 91.92/92.07 => ( 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)))
% 91.92/92.07 => 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)))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_sorted_Osimps,axiom,
% 91.92/92.07 ! [V_a_2,T_b] :
% 91.92/92.07 ( class_Orderings_Olinorder(T_b)
% 91.92/92.07 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 91.92/92.07 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 91.92/92.07 | ? [B_xs,B_x] :
% 91.92/92.07 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 91.92/92.07 & ! [B_xa] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 91.92/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 91.92/92.07 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_List_Oinsert__def,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 91.92/92.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => 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) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_not__in__set__insert,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => 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) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_insert__remdups,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_distinct__insert,axiom,
% 91.92/92.07 ! [V_x,V_xs,T_a] :
% 91.92/92.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 91.92/92.07 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__insert,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_List_Oset__insert,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_insert__Nil,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_maps__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_concat__map__maps,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_maps__simps_I2_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_maps__simps_I1_J,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_distinct__concat,axiom,
% 91.92/92.07 ! [V_xs_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 91.92/92.07 => ( ! [B_ys] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 91.92/92.07 => ( ! [B_ys] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 91.92/92.07 => ! [B_zs] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 91.92/92.07 => ( B_ys != B_zs
% 91.92/92.07 => 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)) ) ) )
% 91.92/92.07 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measures__lesseq,axiom,
% 91.92/92.07 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( 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)))
% 91.92/92.07 => 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)))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_wf__measures,axiom,
% 91.92/92.07 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__measures_I1_J,axiom,
% 91.92/92.07 ! [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))))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measures__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measures__less,axiom,
% 91.92/92.07 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => 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)))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__measures_I2_J,axiom,
% 91.92/92.07 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 <=> ( 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)))
% 91.92/92.07 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 91.92/92.07 & 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))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_foldl__apply,axiom,
% 91.92/92.07 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => 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)) )
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_order__fun_I2_J,axiom,
% 91.92/92.07 ! [V_g_2,V_f_2,T_b,T_c] :
% 91.92/92.07 ( ( class_Orderings_Oorder(T_c)
% 91.92/92.07 & class_Enum_Oenum(T_b) )
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/92.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/92.07 & 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)))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_enum__ex__prod__def,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b,T_c] :
% 91.92/92.07 ( ( class_Enum_Oenum(T_c)
% 91.92/92.07 & class_Enum_Oenum(T_b) )
% 91.92/92.07 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 91.92/92.07 <=> 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))))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_enum__ex,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ( class_Enum_Oenum(T_b)
% 91.92/92.07 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 91.92/92.07 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_exists__code,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ( class_Enum_Oenum(T_b)
% 91.92/92.07 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.07 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_zip__obtain__same__length,axiom,
% 91.92/92.07 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 91.92/92.07 ( ( 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))
% 91.92/92.07 => 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)))) )
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__not__random__dseq__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_dropWhile__append2,axiom,
% 91.92/92.07 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 => 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) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all2__all__nthI,axiom,
% 91.92/92.07 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 91.92/92.07 ( 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)
% 91.92/92.07 => ( ! [B_n] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => 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))) )
% 91.92/92.07 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_finite__sorted__distinct__unique,axiom,
% 91.92/92.07 ! [V_A_2,T_b] :
% 91.92/92.07 ( class_Orderings_Olinorder(T_b)
% 91.92/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.07 => ? [B_x] :
% 91.92/92.07 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 91.92/92.07 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 91.92/92.07 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 91.92/92.07 & ! [B_y] :
% 91.92/92.07 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 91.92/92.07 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 91.92/92.07 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 91.92/92.07 => B_y = B_x ) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_takeWhile__append2,axiom,
% 91.92/92.07 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_insort__is__Cons,axiom,
% 91.92/92.07 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 91.92/92.07 ( class_Orderings_Olinorder(T_c)
% 91.92/92.07 => ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 91.92/92.07 => 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) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Cons__eq__filter__iff,axiom,
% 91.92/92.07 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( 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)
% 91.92/92.07 <=> ? [B_us,B_vs] :
% 91.92/92.07 ( 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))
% 91.92/92.07 & ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 91.92/92.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_filter__eq__Cons__iff,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 91.92/92.07 ( 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)
% 91.92/92.07 <=> ? [B_us,B_vs] :
% 91.92/92.07 ( 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))
% 91.92/92.07 & ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 91.92/92.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_order__fun_I1_J,axiom,
% 91.92/92.07 ! [V_g_2,V_f_2,T_b,T_c] :
% 91.92/92.07 ( ( class_Orderings_Oorder(T_c)
% 91.92/92.07 & class_Enum_Oenum(T_b) )
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 91.92/92.07 <=> 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))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_all__code,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ( class_Enum_Oenum(T_b)
% 91.92/92.07 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 91.92/92.07 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_enum__all,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ( class_Enum_Oenum(T_b)
% 91.92/92.07 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 91.92/92.07 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_enum__all__prod__def,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b,T_c] :
% 91.92/92.07 ( ( class_Enum_Oenum(T_c)
% 91.92/92.07 & class_Enum_Oenum(T_b) )
% 91.92/92.07 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 91.92/92.07 <=> 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))))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ball__nth,axiom,
% 91.92/92.07 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_sorted_OCons,axiom,
% 91.92/92.07 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.07 ( class_Orderings_Olinorder(T_b)
% 91.92/92.07 => ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 91.92/92.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 91.92/92.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__length,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ? [B_n] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__conv__decomp,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 <=> ? [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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__simps_I2_J,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__append,axiom,
% 91.92/92.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 91.92/92.07 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__iff,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__rev,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 91.92/92.07 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__simps_I1_J,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 91.92/92.07 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__conv__decomp__first,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 <=> ? [B_ys] :
% 91.92/92.07 ( ? [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))
% 91.92/92.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__conv__decomp__last,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 <=> ? [B_ys,B_zs] :
% 91.92/92.07 ( 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))
% 91.92/92.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__length,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ! [B_n] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measure__function__int,axiom,
% 91.92/92.07 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))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__simps_I2_J,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__append,axiom,
% 91.92/92.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 91.92/92.07 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measure__size,axiom,
% 91.92/92.07 ! [T_b] :
% 91.92/92.07 ( class_Nat_Osize(T_b)
% 91.92/92.07 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_is__measure_Osimps,axiom,
% 91.92/92.07 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_is__measure_Oequations,axiom,
% 91.92/92.07 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_is__measure_Ointros,axiom,
% 91.92/92.07 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__iff,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measure__fst,axiom,
% 91.92/92.07 ! [T_c,V_f_2,T_b] :
% 91.92/92.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 91.92/92.07 => 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_measure__snd,axiom,
% 91.92/92.07 ! [T_c,V_f_2,T_b] :
% 91.92/92.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 91.92/92.07 => 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__rev,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 91.92/92.07 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__simps_I1_J,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 91.92/92.07 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Ball__set__list__all,axiom,
% 91.92/92.07 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__iff__raw,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex1__simps_I2_J,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 91.92/92.07 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 => 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) )
% 91.92/92.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_transfer__morphism__int__nat,axiom,
% 91.92/92.07 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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex1__simps_I1_J,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_bool_Osize_I4_J,axiom,
% 91.92/92.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_bool_Osize_I3_J,axiom,
% 91.92/92.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex1__iff,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.07 & ! [B_y] :
% 91.92/92.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 91.92/92.07 => B_y = B_x ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 91.92/92.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 91.92/92.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.07 => 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) )
% 91.92/92.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.07 => 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)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 91.92/92.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 91.92/92.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.07 => 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) )
% 91.92/92.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 91.92/92.07 => 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)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 91.92/92.07 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__empty__def,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_neg__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_neg__map__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_neg__single__def,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__bind__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__map__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__single__def,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_length__splice,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_splice_Osimps_I3_J,axiom,
% 91.92/92.07 ! [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))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_splice_Osimps_I1_J,axiom,
% 91.92/92.07 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 91.92/92.07
% 91.92/92.07 fof(fact_splice__Nil2,axiom,
% 91.92/92.07 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 91.92/92.07
% 91.92/92.07 fof(fact_splice_Osimps_I2_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Opos__single__def,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_acyclicP__converse,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 <=> 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_converse__meet,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_converse__join,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep__noteq,axiom,
% 91.92/92.07 ! [V_y_2,V_x_2,T_b] :
% 91.92/92.07 ( 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))
% 91.92/92.07 <=> V_x_2 != V_y_2 ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversepD,axiom,
% 91.92/92.07 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 91.92/92.07 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep_Ointros,axiom,
% 91.92/92.07 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 91.92/92.07 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep_Oequations,axiom,
% 91.92/92.07 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 91.92/92.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep__iff,axiom,
% 91.92/92.07 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 91.92/92.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep__conversep,axiom,
% 91.92/92.07 ! [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 ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep__eq,axiom,
% 91.92/92.07 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 91.92/92.07
% 91.92/92.07 fof(fact_converse__pred__comp,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_conversep__converse__eq,axiom,
% 91.92/92.07 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 91.92/92.07 ( 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))
% 91.92/92.07 <=> 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_,axiom,
% 91.92/92.07 ! [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)))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_tl__replicate,axiom,
% 91.92/92.07 ! [V_x,T_a,V_n] :
% 91.92/92.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => 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) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__length__filter,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_length__replicate,axiom,
% 91.92/92.07 ! [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 ).
% 91.92/92.07
% 91.92/92.07 fof(fact_map__replicate__const,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__app__Cons__same,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__Suc,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_rev__replicate,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_drop__replicate,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_hd__replicate,axiom,
% 91.92/92.07 ! [V_x,T_a,V_n] :
% 91.92/92.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_last__replicate,axiom,
% 91.92/92.07 ! [V_x,T_a,V_n] :
% 91.92/92.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_take__replicate,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_zip__replicate,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Bex__set__replicate,axiom,
% 91.92/92.07 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 91.92/92.07 ( ? [B_x] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.07 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Ball__set__replicate,axiom,
% 91.92/92.07 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 91.92/92.07 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__eq__replicate,axiom,
% 91.92/92.07 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 91.92/92.07 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 91.92/92.07 <=> ( V_m_2 = V_na_2
% 91.92/92.07 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => V_x_2 = V_y_2 ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_nth__replicate,axiom,
% 91.92/92.07 ! [V_x,T_a,V_n,V_i] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 91.92/92.07 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__add,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_append__replicate__commute,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_filter__replicate,axiom,
% 91.92/92.07 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 91.92/92.07 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 => 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) )
% 91.92/92.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 91.92/92.07 => 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) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_concat__replicate__trivial,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__0,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_empty__replicate,axiom,
% 91.92/92.07 ! [V_x_2,V_na_2,T_b] :
% 91.92/92.07 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 91.92/92.07 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__empty,axiom,
% 91.92/92.07 ! [V_x_2,V_na_2,T_b] :
% 91.92/92.07 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 91.92/92.07 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_map__replicate,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__replicate,axiom,
% 91.92/92.07 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 91.92/92.07 ( 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))))
% 91.92/92.07 <=> ( V_x_2 = V_y_2
% 91.92/92.07 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_replicate__append__same,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_map__replicate__trivial,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_set__replicate,axiom,
% 91.92/92.07 ! [V_x_2,T_b,V_na_2] :
% 91.92/92.07 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_set__replicate__conv__if,axiom,
% 91.92/92.07 ! [V_x_2,T_b,V_na_2] :
% 91.92/92.07 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => 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)) )
% 91.92/92.07 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 91.92/92.07 => 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))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_set__replicate__Suc,axiom,
% 91.92/92.07 ! [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))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy__list_Osimps,axiom,
% 91.92/92.07 ! [V_d_2,T_b] :
% 91.92/92.07 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 91.92/92.07 => 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)))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_eq__comp__r,axiom,
% 91.92/92.07 ! [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 ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy__prod__def,axiom,
% 91.92/92.07 ! [V_d,T_b,T_a] :
% 91.92/92.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 91.92/92.07 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_New__DSequence_Opos__union__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_field__le__epsilon,axiom,
% 91.92/92.07 ! [V_y,V_x,T_a] :
% 91.92/92.07 ( class_Fields_Olinordered__field(T_a)
% 91.92/92.07 => ( ! [B_e] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 91.92/92.07 => 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))) )
% 91.92/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_pos__union__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy_H_Osimps,axiom,
% 91.92/92.07 ! [V_i,V_d] :
% 91.92/92.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 91.92/92.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 91.92/92.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 91.92/92.07 => 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)))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy__int__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy_H_Opsimps,axiom,
% 91.92/92.07 ! [V_i_2,V_d_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 91.92/92.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 91.92/92.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 91.92/92.07 => 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)))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 91.92/92.07 ! [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))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact__01,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Oinject,axiom,
% 91.92/92.07 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 91.92/92.07 ( 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)
% 91.92/92.07 <=> ( V_a_2 = V_a_H_2
% 91.92/92.07 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 91.92/92.07 ! [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))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_small__lazy_H_Opinduct,axiom,
% 91.92/92.07 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( ! [B_d,B_i] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 91.92/92.07 => 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)))) )
% 91.92/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 91.92/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_size__code,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence__size__code,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_seq__case,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_yieldn__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_refl__on__INTER,axiom,
% 91.92/92.07 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 91.92/92.07 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_in__set__member,axiom,
% 91.92/92.07 ! [V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_member__rec_I1_J,axiom,
% 91.92/92.07 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 91.92/92.07 ( 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))
% 91.92/92.07 <=> ( V_x_2 = V_y_2
% 91.92/92.07 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_member__set,axiom,
% 91.92/92.07 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_member__rec_I2_J,axiom,
% 91.92/92.07 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_List_Omember__def,axiom,
% 91.92/92.07 ! [V_x_2,V_xs_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 91.92/92.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex1__iff__raw,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.07 & ! [B_y] :
% 91.92/92.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 91.92/92.07 => B_y = B_x ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_setsum__UNION__zero,axiom,
% 91.92/92.07 ! [V_f_2,V_S_2,T_b,T_c] :
% 91.92/92.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 91.92/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 91.92/92.07 => ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 91.92/92.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 91.92/92.07 => ( ! [B_T1] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 91.92/92.07 => ! [B_T2] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 91.92/92.07 => ( B_T1 != B_T2
% 91.92/92.07 => ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 91.92/92.07 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 91.92/92.07 => 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) ) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_THE__default__def,axiom,
% 91.92/92.07 ! [V_d_2,T_b,V_Pa_2] :
% 91.92/92.07 ( ( ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.07 & ! [B_y] :
% 91.92/92.07 ( hBOOL(hAPP(V_Pa_2,B_y))
% 91.92/92.07 => B_y = B_x ) )
% 91.92/92.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 91.92/92.07 & ( ~ ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(V_Pa_2,B_x))
% 91.92/92.07 & ! [B_y] :
% 91.92/92.07 ( hBOOL(hAPP(V_Pa_2,B_y))
% 91.92/92.07 => B_y = B_x ) )
% 91.92/92.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_SUP2__E,axiom,
% 91.92/92.07 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 91.92/92.07 ( 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))
% 91.92/92.07 => ~ ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.07 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_INF2__I,axiom,
% 91.92/92.07 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 91.92/92.07 ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.07 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_finite__maxlen,axiom,
% 91.92/92.07 ! [V_M_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 91.92/92.07 => ? [B_n] :
% 91.92/92.07 ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 91.92/92.07 => 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)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact__02,axiom,
% 91.92/92.07 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 91.92/92.07 ! [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) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 91.92/92.07 ! [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 ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 91.92/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 91.92/92.07 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 91.92/92.07 <=> ~ 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) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__all__iff__all__interval__int,axiom,
% 91.92/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 91.92/92.07 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 91.92/92.07 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_all__interval__int__def,axiom,
% 91.92/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 91.92/92.07 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 91.92/92.07 <=> ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 91.92/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Random_Osimps,axiom,
% 91.92/92.07 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 91.92/92.07 ( ( 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)))
% 91.92/92.07 => 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)) )
% 91.92/92.07 & ( ~ 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)))
% 91.92/92.07 => 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))))))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 91.92/92.07 ! [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 ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Random__Sequence_Oempty__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Random__Sequence_Osingle__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Random__Sequence_Omap__def,axiom,
% 91.92/92.07 ! [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)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_exE__realizer,axiom,
% 91.92/92.07 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( ! [B_x,B_y] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 91.92/92.07 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 91.92/92.07 => 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))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Image__Collect__split,axiom,
% 91.92/92.07 ! [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)))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lexord__trans,axiom,
% 91.92/92.07 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 91.92/92.07 ( 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)))
% 91.92/92.07 => ( 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)))
% 91.92/92.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => 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))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__less__than,axiom,
% 91.92/92.07 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__lex__prod,axiom,
% 91.92/92.07 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_R1_2)
% 91.92/92.07 => ( c_Relation_Otrans(T_c,V_R2_2)
% 91.92/92.07 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__def,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 <=> ! [B_x,B_y] :
% 91.92/92.07 ( 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))
% 91.92/92.07 => ! [B_z] :
% 91.92/92.07 ( 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))
% 91.92/92.07 => 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)) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_transD,axiom,
% 91.92/92.07 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => ( 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))
% 91.92/92.07 => ( 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))
% 91.92/92.07 => 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)) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Union__eq,axiom,
% 91.92/92.07 ! [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)))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__reflclI,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__inv__image,axiom,
% 91.92/92.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__O__subset,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => 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)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_SUPR__bool__eq,axiom,
% 91.92/92.07 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__Int,axiom,
% 91.92/92.07 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => ( c_Relation_Otrans(T_b,V_s_2)
% 91.92/92.07 => 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)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_bex__UNIV,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ( ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_finite__Collect__bex,axiom,
% 91.92/92.07 ! [V_Q_2,T_c,V_A_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 91.92/92.07 => ( 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)))))
% 91.92/92.07 <=> ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 91.92/92.07 => 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)))) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__converse,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.07 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_bex__empty,axiom,
% 91.92/92.07 ! [V_Pa_2,T_b] :
% 91.92/92.07 ~ ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_listrel__trans,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_lexord__transI,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__finite__psubset,axiom,
% 91.92/92.07 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__Id,axiom,
% 91.92/92.07 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__trancl,axiom,
% 91.92/92.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trancl__id,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__Id__on,axiom,
% 91.92/92.07 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__rtrancl,axiom,
% 91.92/92.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Bex__set__list__ex,axiom,
% 91.92/92.07 ! [V_Pa_2,V_xs_2,T_b] :
% 91.92/92.07 ( ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 91.92/92.07 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_list__ex__iff__raw,axiom,
% 91.92/92.07 ! [V_xs_2,V_Pa_2,T_b] :
% 91.92/92.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 91.92/92.07 <=> ? [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 91.92/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_UN__eq,axiom,
% 91.92/92.07 ! [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))))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_INT__eq,axiom,
% 91.92/92.07 ! [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))))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Sup__fun__def,axiom,
% 91.92/92.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.07 => 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)))))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Sup__apply,axiom,
% 91.92/92.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.07 => 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)))))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Inf__fun__def,axiom,
% 91.92/92.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.07 => 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)))))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_Inf__apply,axiom,
% 91.92/92.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 91.92/92.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 91.92/92.07 => 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)))))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_max__extp_Ointros,axiom,
% 91.92/92.07 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 91.92/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 91.92/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 91.92/92.07 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.07 => ( ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 91.92/92.07 => ? [B_xa] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 91.92/92.07 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 91.92/92.07 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_transp__def,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 91.92/92.07 <=> 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))) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_transpE,axiom,
% 91.92/92.07 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 91.92/92.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 91.92/92.07 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_equivp__reflp__symp__transp,axiom,
% 91.92/92.07 ! [V_R_2,T_b] :
% 91.92/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.07 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 91.92/92.07 & c_Predicate_Osymp(T_b,V_R_2)
% 91.92/92.07 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_equivpI,axiom,
% 91.92/92.07 ! [V_R_2,T_b] :
% 91.92/92.07 ( c_Predicate_Oreflp(T_b,V_R_2)
% 91.92/92.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 91.92/92.07 => ( c_Predicate_Otransp(T_b,V_R_2)
% 91.92/92.07 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_sympE,axiom,
% 91.92/92.07 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 91.92/92.07 ( c_Predicate_Osymp(T_b,V_r_2)
% 91.92/92.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 91.92/92.07 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_equivpE,axiom,
% 91.92/92.07 ! [V_R_2,T_b] :
% 91.92/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 91.92/92.07 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 91.92/92.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 91.92/92.07 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_max__extp_Osimps,axiom,
% 91.92/92.07 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 91.92/92.07 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 91.92/92.07 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 91.92/92.07 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 91.92/92.07 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 91.92/92.07 & ! [B_x] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 91.92/92.07 => ? [B_xa] :
% 91.92/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 91.92/92.07 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_trans__diff__Id,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Otrans(T_b,V_r_2)
% 91.92/92.07 => ( c_Relation_Oantisym(T_b,V_r_2)
% 91.92/92.07 => 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))) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__Id__on,axiom,
% 91.92/92.07 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__subset,axiom,
% 91.92/92.07 ! [V_s_2,V_r_2,T_b] :
% 91.92/92.07 ( 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))
% 91.92/92.07 => ( c_Relation_Oantisym(T_b,V_s_2)
% 91.92/92.07 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__Id,axiom,
% 91.92/92.07 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__empty,axiom,
% 91.92/92.07 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__converse,axiom,
% 91.92/92.07 ! [V_r_2,T_b] :
% 91.92/92.07 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 91.92/92.07 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 91.92/92.07
% 91.92/92.07 fof(fact_antisym__def,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Oantisym(T_b,V_r_2)
% 92.26/92.07 <=> ! [B_x,B_y] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ( 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))
% 92.26/92.07 => B_x = B_y ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_antisymD,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Oantisym(T_b,V_r_2)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => ( 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))
% 92.26/92.07 => V_a_2 = V_b_2 ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_antisym__reflcl,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 92.26/92.07 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_fun__lub__def,axiom,
% 92.26/92.07 ! [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)))))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__trans__comp__subset,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__def,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 <=> ! [B_x,B_y] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_symD,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__inv__image,axiom,
% 92.26/92.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Un__converse,axiom,
% 92.26/92.07 ! [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))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Int,axiom,
% 92.26/92.07 ! [V_s_2,V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ( c_Relation_Osym(T_b,V_s_2)
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__converse,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 92.26/92.07 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__conv__converse__eq,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_listrel__sym,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Id,axiom,
% 92.26/92.07 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Un,axiom,
% 92.26/92.07 ! [V_s_2,V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ( c_Relation_Osym(T_b,V_s_2)
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__trancl,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Id__on,axiom,
% 92.26/92.07 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__rtrancl,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_sym__Int__converse,axiom,
% 92.26/92.07 ! [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))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_equivE,axiom,
% 92.26/92.07 ! [V_r_2,V_A_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 92.26/92.07 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 92.26/92.07 => ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_equivI,axiom,
% 92.26/92.07 ! [V_r_2,V_A_2,T_b] :
% 92.26/92.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 92.26/92.07 => ( c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 92.26/92.07 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_equiv__def,axiom,
% 92.26/92.07 ! [V_r_2,V_A_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 92.26/92.07 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 92.26/92.07 & c_Relation_Osym(T_b,V_r_2)
% 92.26/92.07 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_symp__def,axiom,
% 92.26/92.07 ! [V_r_2,T_b] :
% 92.26/92.07 ( c_Predicate_Osymp(T_b,V_r_2)
% 92.26/92.07 <=> 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivp__refl__symp__transp,axiom,
% 92.26/92.07 ! [V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 92.26/92.07 & c_Predicate_Osymp(T_b,V_R_2)
% 92.26/92.07 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivpI,axiom,
% 92.26/92.07 ! [T_b,V_R_2] :
% 92.26/92.07 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 92.26/92.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 92.26/92.07 => ( c_Predicate_Otransp(T_b,V_R_2)
% 92.26/92.07 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_equivp__implies__part__equivp,axiom,
% 92.26/92.07 ! [V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 92.26/92.07 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivp__def,axiom,
% 92.26/92.07 ! [V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 92.26/92.07 & ! [B_x,B_y] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 92.26/92.07 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 92.26/92.07 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 92.26/92.07 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivp__symp,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivp__transp,axiom,
% 92.26/92.07 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivpE,axiom,
% 92.26/92.07 ! [V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 92.26/92.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 92.26/92.07 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_part__equivp__typedef,axiom,
% 92.26/92.07 ! [V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 92.26/92.07 => ? [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))))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inj__iff,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 <=> 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__o__cancel,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inj__on__inv__into,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 92.26/92.07 => 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__image__cancel,axiom,
% 92.26/92.07 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_surj__imp__inj__inv,axiom,
% 92.26/92.07 ! [V_f_2,T_b,T_c] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__image__comp,axiom,
% 92.26/92.07 ! [V_X_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_image__inv__f__f,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inj__imp__surj__inv,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_image__inv__into__cancel,axiom,
% 92.26/92.07 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 92.26/92.07 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_surj__iff__all,axiom,
% 92.26/92.07 ! [V_f_2,T_b,T_c] :
% 92.26/92.07 ( 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))
% 92.26/92.07 <=> ! [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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_surj__f__inv__f,axiom,
% 92.26/92.07 ! [V_y_2,V_f_2,T_b,T_c] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_image__surj__f__inv__f,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_b,T_c] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__injective,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 92.26/92.07 ( 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)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 92.26/92.07 => V_x_2 = V_y_2 ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__into,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_f__inv__into__f,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__f__f,axiom,
% 92.26/92.07 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__f__eq,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 92.26/92.07 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 92.26/92.07 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__f__eq,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__f__f,axiom,
% 92.26/92.07 ! [V_x_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__id,axiom,
% 92.26/92.07 ! [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) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__def,axiom,
% 92.26/92.07 ! [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))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__def,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_o__inv__o__cancel,axiom,
% 92.26/92.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__comp,axiom,
% 92.26/92.07 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 92.26/92.07 => ( 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))))
% 92.26/92.07 => 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) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_surj__iff,axiom,
% 92.26/92.07 ! [V_f_2,T_b,T_c] :
% 92.26/92.07 ( 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))
% 92.26/92.07 <=> 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inj__transfer,axiom,
% 92.26/92.07 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => ( ! [B_y] :
% 92.26/92.07 ( 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)))))
% 92.26/92.07 => 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))) )
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_fold__image__UN__disjoint,axiom,
% 92.26/92.07 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 92.26/92.07 ( class_Groups_Ocomm__monoid__mult(T_d)
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 92.26/92.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 92.26/92.07 => ! [B_xa] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 92.26/92.07 => ( B_x != B_xa
% 92.26/92.07 => 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)) ) ) )
% 92.26/92.07 => 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) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__of__induct,axiom,
% 92.26/92.07 ! [V_Pa_2,V_y_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 92.26/92.07 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__of__cases,axiom,
% 92.26/92.07 ! [V_y_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 92.26/92.07 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_of__nat__induct,axiom,
% 92.26/92.07 ! [V_x_2,V_Pa_2] :
% 92.26/92.07 ( ! [B_y] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_of__nat__cases,axiom,
% 92.26/92.07 ! [V_x_2] :
% 92.26/92.07 ~ ! [B_y] :
% 92.26/92.07 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 92.26/92.07 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 92.26/92.07 ! [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 ).
% 92.26/92.07
% 92.26/92.07 fof(fact_beyond__def,axiom,
% 92.26/92.07 ! [V_l,V_k] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 92.26/92.07 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 92.26/92.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 92.26/92.07 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_beyond__zero,axiom,
% 92.26/92.07 ! [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) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__image__Collect__eq,axiom,
% 92.26/92.07 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curry__def,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curryI,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 92.26/92.07 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__id,axiom,
% 92.26/92.07 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__imp__bij__inv,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__inv__eq,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inv__into__inv__into__eq,axiom,
% 92.26/92.07 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 92.26/92.07 => 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__inv__into,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_o__inv__distrib,axiom,
% 92.26/92.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__comp__iff2,axiom,
% 92.26/92.07 ! [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] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 92.26/92.07 <=> 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) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__comp,axiom,
% 92.26/92.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__comp__iff,axiom,
% 92.26/92.07 ! [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] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 92.26/92.07 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 92.26/92.07 <=> 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__trans,axiom,
% 92.26/92.07 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 92.26/92.07 => 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curryD,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 92.26/92.07 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curryE,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 92.26/92.07 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curry__conv,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__image__Compl__eq,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_finite__vimage__iff,axiom,
% 92.26/92.07 ! [V_F_2,V_h_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 92.26/92.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__combine,axiom,
% 92.26/92.07 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => 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)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__Disj__Un,axiom,
% 92.26/92.07 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ( 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))
% 92.26/92.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 92.26/92.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 92.26/92.07 => 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)) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__id,axiom,
% 92.26/92.07 ! [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))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__id__iff,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 92.26/92.07 <=> V_A_2 = V_B_2 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__finite,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 92.26/92.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_BIJ,axiom,
% 92.26/92.07 ! [V_B_2,T_c,V_A_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 92.26/92.07 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 92.26/92.07 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__empty1,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)
% 92.26/92.07 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__empty2,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__same__card,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__the__inv__into,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__is__inj,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__imp__inj__on,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inj__on__imp__bij__betw,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__def,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 92.26/92.07 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__imp__surj,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__is__surj,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__betw__subset,axiom,
% 92.26/92.07 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 92.26/92.07 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 92.26/92.07 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__def,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 & 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bijI,axiom,
% 92.26/92.07 ! [V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 92.26/92.07 => ( 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))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_curry__split,axiom,
% 92.26/92.07 ! [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 ).
% 92.26/92.07
% 92.26/92.07 fof(fact_split__curry,axiom,
% 92.26/92.07 ! [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 ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__image__INT,axiom,
% 92.26/92.07 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_vimage__subset__eq,axiom,
% 92.26/92.07 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( 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))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bij__vimage__eq__inv__image,axiom,
% 92.26/92.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 92.26/92.07 ! [V_M_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 92.26/92.07 => ? [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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_Cantor__Bernstein,axiom,
% 92.26/92.07 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 92.26/92.07 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_ex__bij__betw__nat__finite,axiom,
% 92.26/92.07 ! [V_M_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 92.26/92.07 => ? [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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_ex__bij__betw__finite__nat,axiom,
% 92.26/92.07 ! [V_M_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 92.26/92.07 => ? [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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_refl__on__UNION,axiom,
% 92.26/92.07 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 92.26/92.07 ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 92.26/92.07 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bex__reg__eqv,axiom,
% 92.26/92.07 ! [V_Pa_2,V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 92.26/92.07 => ( ? [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 92.26/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 92.26/92.07 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_Respects__def,axiom,
% 92.26/92.07 ! [V_x_2,V_R_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_in__respects,axiom,
% 92.26/92.07 ! [V_R_2,V_x_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_bex__reg__right,axiom,
% 92.26/92.07 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(V_Q_2,B_x))
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 92.26/92.07 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 92.26/92.07 => ? [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 92.26/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_babs__reg__eqv,axiom,
% 92.26/92.07 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 92.26/92.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 92.26/92.07 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_Babs__def,axiom,
% 92.26/92.07 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 92.26/92.07 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_wf__weak__decr__stable,axiom,
% 92.26/92.07 ! [V_r_2,V_f_2,T_b] :
% 92.26/92.07 ( ! [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)))
% 92.26/92.07 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 92.26/92.07 => ? [B_i] :
% 92.26/92.07 ! [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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_INT__anti__mono,axiom,
% 92.26/92.07 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 92.26/92.07 => 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))) )
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_INT__greatest,axiom,
% 92.26/92.07 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 92.26/92.07 ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 92.26/92.07 => 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))) )
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_converse__rtranclE2,axiom,
% 92.26/92.07 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( 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)
% 92.26/92.07 => ~ ! [B_a,B_b] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ~ 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_rtrancl__induct2,axiom,
% 92.26/92.07 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 92.26/92.07 => ( ! [B_a,B_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ! [B_aa,B_ba] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_converse__rtrancl__induct2,axiom,
% 92.26/92.07 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 92.26/92.07 => ( ! [B_a,B_b,B_aa,B_ba] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 92.26/92.07 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_congruentI,axiom,
% 92.26/92.07 ! [T_c,V_f_2,V_r_2,T_b] :
% 92.26/92.07 ( ! [B_y,B_z] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 92.26/92.07 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_congruent2I_H,axiom,
% 92.26/92.07 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 92.26/92.07 ( ! [B_y1,B_z1] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => ! [B_y2,B_z2] :
% 92.26/92.07 ( 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))
% 92.26/92.07 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 92.26/92.07 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact__03,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_list__all__iff__all__interval__nat,axiom,
% 92.26/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 92.26/92.07 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 92.26/92.07 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact__04,axiom,
% 92.26/92.07 ! [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) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_all__interval__nat__def,axiom,
% 92.26/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 92.26/92.07 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 92.26/92.07 <=> ! [B_x] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 92.26/92.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 92.26/92.07 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 92.26/92.07 <=> ~ 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) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact__05,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_folding__image_Ocong,axiom,
% 92.26/92.07 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 92.26/92.07 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 92.26/92.07 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 92.26/92.07 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact__06,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact__07,axiom,
% 92.26/92.07 ! [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) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_New__DSequence_Opos__map__def,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_power__dvd__imp__le,axiom,
% 92.26/92.07 ! [V_n,V_m,V_i] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oorder__refl,axiom,
% 92.26/92.07 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__0__right,axiom,
% 92.26/92.07 ! [V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__1__left,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__imp__le,axiom,
% 92.26/92.07 ! [V_n,V_k] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__mult__dvd__cancel1,axiom,
% 92.26/92.07 ! [V_na_2,V_m_2,V_k_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__cancel,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_setprod__dvd__setprod__subset,axiom,
% 92.26/92.07 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 92.26/92.07 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 92.26/92.07 & class_Rings_Odvd(T_c) )
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,T_b] :
% 92.26/92.07 ( ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 & class_Int_Onumber(T_b) )
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__div__eq__mult,axiom,
% 92.26/92.07 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 92.26/92.07 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 92.26/92.07 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__div__div__eq__mult,axiom,
% 92.26/92.07 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 92.26/92.07 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 92.26/92.07 => ( 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)
% 92.26/92.07 <=> 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) ) ) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_le__imp__power__dvd,axiom,
% 92.26/92.07 ! [V_a,V_n,V_m,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__power__le,axiom,
% 92.26/92.07 ! [V_m,V_n,V_y,V_x,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_power__le__dvd,axiom,
% 92.26/92.07 ! [V_m,V_b,V_n,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 92.26/92.07 => 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)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 92.26/92.07 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 92.26/92.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 92.26/92.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__diffD1,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__diffD,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeast__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_i_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatMost__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_i_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OlessThan__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_i_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OgreaterThan__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_i_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__eq__mod__eq__0,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,T_b] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 92.26/92.07 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__imp__mod__0,axiom,
% 92.26/92.07 ! [V_b,V_a,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__abs__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_m_2,T_b] :
% 92.26/92.07 ( class_Rings_Olinordered__idom(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_abs__dvd__iff,axiom,
% 92.26/92.07 ! [V_k_2,V_m_2,T_b] :
% 92.26/92.07 ( class_Rings_Olinordered__idom(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__if__abs__eq,axiom,
% 92.26/92.07 ! [V_k,V_l,T_a] :
% 92.26/92.07 ( class_Rings_Olinordered__idom(T_a)
% 92.26/92.07 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_one__dvd,axiom,
% 92.26/92.07 ! [V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oeq__iff,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2] :
% 92.26/92.07 ( V_x_2 = V_y_2
% 92.26/92.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Ole__less,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 92.26/92.07 | V_x_2 = V_y_2 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__le,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 92.26/92.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 & V_x_2 != V_y_2 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oneq__le__trans,axiom,
% 92.26/92.07 ! [V_b,V_a] :
% 92.26/92.07 ( V_a != V_b
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oeq__refl,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( V_x = V_y
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oantisym__conv,axiom,
% 92.26/92.07 ! [V_x_2,V_y_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 <=> V_x_2 = V_y_2 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 | V_x = V_y ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Ole__neq__trans,axiom,
% 92.26/92.07 ! [V_b,V_a] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 => ( V_a != V_b
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a] :
% 92.26/92.07 ( V_a = V_b
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 => ( V_b = V_c
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__antisym,axiom,
% 92.26/92.07 ! [V_n,V_m] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 92.26/92.07 => V_m = V_n ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oantisym,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 92.26/92.07 => V_x = V_y ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oorder__trans,axiom,
% 92.26/92.07 ! [V_z,V_y,V_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a] :
% 92.26/92.07 ( V_a = V_b
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Ole__less__trans,axiom,
% 92.26/92.07 ! [V_z,V_y,V_x] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__imp__neq,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => V_x != V_y ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__not__sym,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__imp__le,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__imp__not__less,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => V_x != V_y ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => V_y != V_x ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 92.26/92.07 => ( V_b = V_c
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__le__trans,axiom,
% 92.26/92.07 ! [V_z,V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__asym_H,axiom,
% 92.26/92.07 ! [V_b,V_a] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 92.26/92.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__trans,axiom,
% 92.26/92.07 ! [V_z,V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Oless__asym,axiom,
% 92.26/92.07 ! [V_y,V_x] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 92.26/92.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__refl,axiom,
% 92.26/92.07 ! [V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__trans,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__0__left,axiom,
% 92.26/92.07 ! [V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 92.26/92.07 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_div__dvd__div,axiom,
% 92.26/92.07 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__power__same,axiom,
% 92.26/92.07 ! [V_n,V_y,V_x,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mod__imp__dvd,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mod,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_mod__mod__cancel,axiom,
% 92.26/92.07 ! [V_a,V_b,V_c,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 92.26/92.07 => 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mod__iff,axiom,
% 92.26/92.07 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__dvd__1__iff__1,axiom,
% 92.26/92.07 ! [V_m_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 92.26/92.07 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__neg__div,axiom,
% 92.26/92.07 ! [V_x,V_y,T_a] :
% 92.26/92.07 ( class_Divides_Oring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__div__neg,axiom,
% 92.26/92.07 ! [V_x,V_y,T_a] :
% 92.26/92.07 ( class_Divides_Oring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__diff__nat,axiom,
% 92.26/92.07 ! [V_n,V_m,V_k] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__diff,axiom,
% 92.26/92.07 ! [V_z,V_y,V_x,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__ring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__minus__iff,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,T_b] :
% 92.26/92.07 ( class_Rings_Ocomm__ring__1(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_minus__dvd__iff,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,T_b] :
% 92.26/92.07 ( class_Rings_Ocomm__ring__1(T_b)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_div__power,axiom,
% 92.26/92.07 ! [V_n,V_x,V_y,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 92.26/92.07 => 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)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__1__iff__1,axiom,
% 92.26/92.07 ! [V_m_2] :
% 92.26/92.07 ( 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))))
% 92.26/92.07 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__dvd__not__less,axiom,
% 92.26/92.07 ! [V_n,V_m] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 92.26/92.07 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_div__add,axiom,
% 92.26/92.07 ! [V_y,V_x,V_z,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 92.26/92.07 => 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)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__reduce,axiom,
% 92.26/92.07 ! [V_na_2,V_k_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__add,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 92.26/92.07 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 92.26/92.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 92.26/92.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 92.26/92.07 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 92.26/92.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 92.26/92.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 92.26/92.07 ! [V_k_2,V_l_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 92.26/92.07 ! [V_k_2,V_l_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 92.26/92.07 ! [V_a_2,V_b_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 92.26/92.07 ! [V_l_2,V_k_2] :
% 92.26/92.07 ( 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))
% 92.26/92.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2] :
% 92.26/92.07 ( 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))
% 92.26/92.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 92.26/92.07 ! [V_l_2,V_k_2] :
% 92.26/92.07 ( 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)
% 92.26/92.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2] :
% 92.26/92.07 ( 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)
% 92.26/92.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 92.26/92.07 ! [V_a_2,V_b_2] :
% 92.26/92.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 92.26/92.07 => 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)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2] :
% 92.26/92.07 ( 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))
% 92.26/92.07 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2] :
% 92.26/92.07 ( 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)
% 92.26/92.07 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2] :
% 92.26/92.07 ( V_a_2 = V_b_2
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 92.26/92.07 ! [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))) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 92.26/92.07 ! [V_c_2,V_b_2,V_a_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( V_a_2 = V_b_2
% 92.26/92.07 & V_b_2 = V_c_2 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inf__period_I4_J,axiom,
% 92.26/92.07 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 92.26/92.07 ( ( class_Rings_Ocomm__ring(T_b)
% 92.26/92.07 & class_Rings_Odvd(T_b) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 92.26/92.07 => ! [B_x,B_k] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_inf__period_I3_J,axiom,
% 92.26/92.07 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 92.26/92.07 ( ( class_Rings_Ocomm__ring(T_b)
% 92.26/92.07 & class_Rings_Odvd(T_b) )
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 92.26/92.07 => ! [B_x,B_k] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 92.26/92.07 ! [V_na_2,V_m_2,V_k_2] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_div__mult__div__if__dvd,axiom,
% 92.26/92.07 ! [V_w,V_z,V_x,V_y,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 92.26/92.07 => 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)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__div__mult,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__div__mult__self,axiom,
% 92.26/92.07 ! [V_b,V_a,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_div__mult__swap,axiom,
% 92.26/92.07 ! [V_a,V_b,V_c,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 92.26/92.07 => 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) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__div__cancel,axiom,
% 92.26/92.07 ! [V_b,V_a,T_a] :
% 92.26/92.07 ( class_Divides_Osemiring__div(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => 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 ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__cancel__left,axiom,
% 92.26/92.07 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 92.26/92.07 ( class_Rings_Oidom(T_b)
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__cancel__right,axiom,
% 92.26/92.07 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 92.26/92.07 ( class_Rings_Oidom(T_b)
% 92.26/92.07 => ( 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)))
% 92.26/92.07 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__right,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__left,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( 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))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvdI,axiom,
% 92.26/92.07 ! [V_k,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Odvd(T_a)
% 92.26/92.07 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_mult__dvd__mono,axiom,
% 92.26/92.07 ! [V_d,V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult,axiom,
% 92.26/92.07 ! [V_b,V_c,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult2,axiom,
% 92.26/92.07 ! [V_c,V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__triv__right,axiom,
% 92.26/92.07 ! [V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__triv__left,axiom,
% 92.26/92.07 ! [V_b,V_a,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => 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))) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_unity__coeff__ex,axiom,
% 92.26/92.07 ! [V_l_2,V_Pa_2,T_b] :
% 92.26/92.07 ( ( class_Rings_Odvd(T_b)
% 92.26/92.07 & class_Rings_Osemiring__0(T_b) )
% 92.26/92.07 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 92.26/92.07 <=> ? [B_x] :
% 92.26/92.07 ( 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))))
% 92.26/92.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__setprod,axiom,
% 92.26/92.07 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_c)
% 92.26/92.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 92.26/92.07 => 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))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__power,axiom,
% 92.26/92.07 ! [V_x,V_n,T_a] :
% 92.26/92.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 92.26/92.07 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 92.26/92.07 => 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))) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__cancel1,axiom,
% 92.26/92.07 ! [V_na_2,V_m_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 92.26/92.07 => ( 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))
% 92.26/92.07 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd__mult__cancel2,axiom,
% 92.26/92.07 ! [V_na_2,V_m_2] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 92.26/92.07 => ( 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))
% 92.26/92.07 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_dvd_Ostrict__monoD,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 92.26/92.07 ( class_Orderings_Oorder(T_b)
% 92.26/92.07 => ( 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)
% 92.26/92.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 92.26/92.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_equiv__imp__dvd__card,axiom,
% 92.26/92.07 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 92.26/92.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 92.26/92.07 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 92.26/92.07 => ( ! [B_x] :
% 92.26/92.07 ( 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)))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_zdvd__imp__le,axiom,
% 92.26/92.07 ! [V_n,V_z] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 92.26/92.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(fact_zdvd__antisym__nonneg,axiom,
% 92.26/92.07 ! [V_n,V_m] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n))
% 92.26/92.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 92.26/92.07 => V_m = V_n ) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 %----Arity declarations (220)
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 92.26/92.07 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Obounded__lattice(T_1)
% 92.26/92.07 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 92.26/92.07 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Obounded__lattice(T_1)
% 92.26/92.07 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Obounded__lattice(T_1)
% 92.26/92.07 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Olattice(T_1)
% 92.26/92.07 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Olattice(T_1)
% 92.26/92.07 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Odistrib__lattice(T_1)
% 92.26/92.07 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Oboolean__algebra(T_1)
% 92.26/92.07 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Orderings_Opreorder,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Orderings_Opreorder(T_1)
% 92.26/92.07 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Finite__Set_Ofinite(T_2)
% 92.26/92.07 & class_Finite__Set_Ofinite(T_1) )
% 92.26/92.07 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Lattices_Olattice,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Lattices_Olattice(T_1)
% 92.26/92.07 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Orderings_Oorder,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Orderings_Oorder(T_1)
% 92.26/92.07 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Orderings_Otop,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Orderings_Otop(T_1)
% 92.26/92.07 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Orderings_Oord,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Orderings_Oord(T_1)
% 92.26/92.07 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Orderings_Obot,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Orderings_Obot(T_1)
% 92.26/92.07 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Groups_Ouminus,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Groups_Ouminus(T_1)
% 92.26/92.07 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Groups_Ominus,axiom,
% 92.26/92.07 ! [T_2,T_1] :
% 92.26/92.07 ( class_Groups_Ominus(T_1)
% 92.26/92.07 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_fun__Enum_Oenum,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Enum_Oenum(T_2)
% 92.26/92.07 & class_Enum_Oenum(T_1) )
% 92.26/92.07 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_Com_Ocom) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 92.26/92.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 92.26/92.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 92.26/92.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 92.26/92.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 92.26/92.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 92.26/92.07 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 92.26/92.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 92.26/92.07 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 92.26/92.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 92.26/92.07 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 92.26/92.07 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 92.26/92.07 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 92.26/92.07 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 92.26/92.07 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 92.26/92.07 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 92.26/92.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 92.26/92.07 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 92.26/92.07 class_Orderings_Opreorder(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 92.26/92.07 class_Orderings_Olinorder(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 92.26/92.07 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 92.26/92.07 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 92.26/92.07 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 92.26/92.07 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 92.26/92.07 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 92.26/92.07 class_Lattices_Olattice(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 92.26/92.07 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 92.26/92.07 class_Divides_Oring__div(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 92.26/92.07 class_Rings_Omult__zero(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 92.26/92.07 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 92.26/92.07 class_Orderings_Oorder(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 92.26/92.07 class_Int_Oring__char__0(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 92.26/92.07 class_Int_Onumber__ring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 92.26/92.07 class_Rings_Osemiring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 92.26/92.07 class_Orderings_Oord(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 92.26/92.07 class_Groups_Ouminus(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 92.26/92.07 class_Groups_Osgn__if(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 92.26/92.07 class_Groups_Oabs__if(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 92.26/92.07 class_Rings_Oring__1(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 92.26/92.07 class_Groups_Ominus(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Power_Opower,axiom,
% 92.26/92.07 class_Power_Opower(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 92.26/92.07 class_Groups_Ozero(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oring,axiom,
% 92.26/92.07 class_Rings_Oring(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 92.26/92.07 class_Rings_Oidom(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Int_Onumber,axiom,
% 92.26/92.07 class_Int_Onumber(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Groups_Oone,axiom,
% 92.26/92.07 class_Groups_Oone(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 92.26/92.07 class_Rings_Odvd(tc_Int_Oint) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 92.26/92.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 92.26/92.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 92.26/92.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 92.26/92.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 92.26/92.07 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 92.26/92.07 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 92.26/92.07 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 92.26/92.07 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 92.26/92.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 92.26/92.07 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 92.26/92.07 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 92.26/92.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 92.26/92.07 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 92.26/92.07 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 92.26/92.07 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 92.26/92.07 class_Lattices_Olattice(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 92.26/92.07 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 92.26/92.07 class_Orderings_Oorder(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 92.26/92.07 class_Rings_Osemiring(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 92.26/92.07 class_Orderings_Oord(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 92.26/92.07 class_Orderings_Obot(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 92.26/92.07 class_Groups_Ominus(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Power_Opower,axiom,
% 92.26/92.07 class_Power_Opower(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 92.26/92.07 class_Groups_Ozero(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 92.26/92.07 class_Int_Onumber(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 92.26/92.07 class_Groups_Oone(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 92.26/92.07 class_Rings_Odvd(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_Nat_Onat) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 92.26/92.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 92.26/92.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 92.26/92.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 92.26/92.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 92.26/92.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 92.26/92.07 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 92.26/92.07 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 92.26/92.07 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 92.26/92.07 class_Lattices_Olattice(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 92.26/92.07 class_Orderings_Oorder(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 92.26/92.07 class_Orderings_Otop(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 92.26/92.07 class_Orderings_Oord(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 92.26/92.07 class_Orderings_Obot(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 92.26/92.07 class_Groups_Ouminus(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 92.26/92.07 class_Groups_Ominus(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 92.26/92.07 class_Enum_Oenum(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_HOL_Obool) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 92.26/92.07 ! [T_1] :
% 92.26/92.07 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 92.26/92.07 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_List__Olist__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Finite__Set_Ofinite(T_2)
% 92.26/92.07 & class_Finite__Set_Ofinite(T_1) )
% 92.26/92.07 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_sum__Enum_Oenum,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Enum_Oenum(T_2)
% 92.26/92.07 & class_Enum_Oenum(T_1) )
% 92.26/92.07 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_sum__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 92.26/92.07 ! [T_1] :
% 92.26/92.07 ( class_Finite__Set_Ofinite(T_1)
% 92.26/92.07 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 92.26/92.07 ! [T_1] :
% 92.26/92.07 ( class_Enum_Oenum(T_1)
% 92.26/92.07 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 92.26/92.07 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 92.26/92.07 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Finite__Set_Ofinite(T_2)
% 92.26/92.07 & class_Finite__Set_Ofinite(T_1) )
% 92.26/92.07 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_prod__Enum_Oenum,axiom,
% 92.26/92.07 ! [T_1,T_2] :
% 92.26/92.07 ( ( class_Enum_Oenum(T_2)
% 92.26/92.07 & class_Enum_Oenum(T_1) )
% 92.26/92.07 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_prod__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 92.26/92.07 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 92.26/92.07 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 92.26/92.07 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 92.26/92.07 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 92.26/92.07 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 92.26/92.07 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 92.26/92.07 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 92.26/92.07 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 92.26/92.07 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 92.26/92.07 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 92.26/92.07 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 92.26/92.07 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 92.26/92.07 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 92.26/92.07 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 92.26/92.07 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 92.26/92.07 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 92.26/92.07 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 92.26/92.07 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 92.26/92.07 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 92.26/92.07 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 92.26/92.07 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 92.26/92.07 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 92.26/92.07 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 92.26/92.07 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 92.26/92.07 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 92.26/92.07 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 92.26/92.07 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 92.26/92.07 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 92.26/92.07 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 92.26/92.07 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 92.26/92.07 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 92.26/92.07
% 92.26/92.07 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 92.26/92.07 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 92.26/92.07
% 92.26/92.07 %----Helper facts (20)
% 92.26/92.07 fof(help_c__COMBI__1,axiom,
% 92.26/92.07 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__COMBK__1,axiom,
% 92.26/92.07 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__COMBB__1,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__COMBC__1,axiom,
% 92.26/92.07 ! [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) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__COMBS__1,axiom,
% 92.26/92.07 ! [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)) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fequal__1,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 92.26/92.07 | V_x_2 = V_y_2 ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fequal__2,axiom,
% 92.26/92.07 ! [V_y_2,V_x_2] :
% 92.26/92.07 ( V_x_2 != V_y_2
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fFalse__1,axiom,
% 92.26/92.07 ~ hBOOL(c_fFalse) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fTrue__1,axiom,
% 92.26/92.07 hBOOL(c_fTrue) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fNot__1,axiom,
% 92.26/92.07 ! [V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 92.26/92.07 | ~ hBOOL(V_Pa_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fNot__2,axiom,
% 92.26/92.07 ! [V_Pa_2] :
% 92.26/92.07 ( ~ ~ hBOOL(V_Pa_2)
% 92.26/92.07 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fconj__1,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(V_Pa_2)
% 92.26/92.07 | ~ hBOOL(V_Q_2)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fconj__2,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 92.26/92.07 | hBOOL(V_Pa_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fconj__3,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 92.26/92.07 | hBOOL(V_Q_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fdisj__1,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(V_Pa_2)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fdisj__2,axiom,
% 92.26/92.07 ! [V_Pa_2,V_Q_2] :
% 92.26/92.07 ( ~ hBOOL(V_Q_2)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fdisj__3,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 92.26/92.07 | hBOOL(V_Pa_2)
% 92.26/92.07 | hBOOL(V_Q_2) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fimplies__1,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( hBOOL(V_Pa_2)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fimplies__2,axiom,
% 92.26/92.07 ! [V_Pa_2,V_Q_2] :
% 92.26/92.07 ( ~ hBOOL(V_Q_2)
% 92.26/92.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 92.26/92.07
% 92.26/92.07 fof(help_c__fimplies__3,axiom,
% 92.26/92.07 ! [V_Q_2,V_Pa_2] :
% 92.26/92.07 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 92.26/92.07 | ~ hBOOL(V_Pa_2)
% 92.26/92.07 | hBOOL(V_Q_2) ) ).
% 92.26/92.07
% 92.26/92.07 %----Conjectures (8)
% 92.26/92.07 fof(conj_0,hypothesis,
% 92.26/92.07 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_1,hypothesis,
% 92.26/92.07 ! [B_G] :
% 92.26/92.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),B_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
% 92.26/92.07 => ( 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),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n)
% 92.26/92.07 => ! [B_c] :
% 92.26/92.07 ( v_wt(B_c)
% 92.26/92.07 => 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)))) ) ) ) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_2,hypothesis,
% 92.26/92.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_3,hypothesis,
% 92.26/92.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,v_n)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_4,hypothesis,
% 92.26/92.07 hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),hAPP(c_Nat_OSuc,v_n)) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_5,hypothesis,
% 92.26/92.07 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_6,hypothesis,
% 92.26/92.07 hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)) ).
% 92.26/92.07
% 92.26/92.07 fof(conj_7,conjecture,
% 92.26/92.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)) ).
% 92.26/92.07
% 92.26/92.07 %------------------------------------------------------------------------------
% 92.26/92.07 %-------------------------------------------
% 92.26/92.07 % Proof found
% 92.26/92.07 % SZS status Theorem for theBenchmark
% 92.26/92.07 % SZS output start Proof
% 92.26/92.08 %ClaNum:10393(EqnAxiom:3032)
% 92.26/92.08 %VarNum:80389(SingletonVarNum:23592)
% 92.26/92.08 %MaxLitNum:8
% 92.26/92.08 %MaxfuncDepth:13
% 92.26/92.08 %SharedTerms:1030
% 92.26/92.08 %goalClause: 4632
% 92.26/92.08 %singleGoalClaCount:1
% 92.26/92.08 [3036]P1(a177)
% 92.26/92.08 [3037]P2(a893)
% 92.26/92.08 [3038]P2(a896)
% 92.26/92.08 [3039]P65(a893)
% 92.26/92.08 [3040]P65(a897)
% 92.26/92.08 [3041]P65(a1)
% 92.26/92.08 [3042]P65(a89)
% 92.26/92.08 [3043]P66(a893)
% 92.26/92.08 [3044]P66(a897)
% 92.26/92.08 [3045]P107(a897)
% 92.26/92.08 [3046]P107(a1)
% 92.26/92.08 [3047]P107(a89)
% 92.26/92.08 [3048]P108(a893)
% 92.26/92.08 [3049]P108(a897)
% 92.26/92.08 [3050]P108(a1)
% 92.26/92.08 [3051]P108(a89)
% 92.26/92.08 [3052]P109(a893)
% 92.26/92.08 [3053]P109(a897)
% 92.26/92.08 [3054]P109(a1)
% 92.26/92.08 [3055]P109(a89)
% 92.26/92.08 [3056]P67(a1)
% 92.26/92.08 [3057]P68(a1)
% 92.26/92.08 [3058]P69(a893)
% 92.26/92.08 [3059]P69(a897)
% 92.26/92.08 [3060]P69(a1)
% 92.26/92.08 [3061]P69(a89)
% 92.26/92.08 [3062]P80(a897)
% 92.26/92.08 [3063]P80(a1)
% 92.26/92.08 [3064]P80(a89)
% 92.26/92.08 [3065]P70(a897)
% 92.26/92.08 [3066]P70(a1)
% 92.26/92.08 [3067]P70(a89)
% 92.26/92.08 [3068]P71(a897)
% 92.26/92.08 [3069]P71(a1)
% 92.26/92.08 [3070]P71(a89)
% 92.26/92.08 [3071]P72(a897)
% 92.26/92.08 [3072]P72(a1)
% 92.26/92.08 [3073]P72(a89)
% 92.26/92.08 [3074]P83(a897)
% 92.26/92.08 [3075]P83(a1)
% 92.26/92.08 [3076]P83(a89)
% 92.26/92.08 [3077]P84(a897)
% 92.26/92.08 [3078]P84(a1)
% 92.26/92.08 [3079]P84(a89)
% 92.26/92.08 [3080]P86(a897)
% 92.26/92.08 [3081]P86(a1)
% 92.26/92.08 [3082]P86(a89)
% 92.26/92.08 [3083]P75(a1)
% 92.26/92.08 [3084]P110(a897)
% 92.26/92.08 [3085]P110(a1)
% 92.26/92.08 [3086]P110(a89)
% 92.26/92.08 [3087]P73(a897)
% 92.26/92.08 [3088]P73(a1)
% 92.26/92.08 [3089]P73(a89)
% 92.26/92.08 [3090]P111(a1)
% 92.26/92.08 [3091]P112(a897)
% 92.26/92.08 [3092]P112(a1)
% 92.26/92.08 [3093]P112(a89)
% 92.26/92.08 [3094]P127(a897)
% 92.26/92.08 [3095]P127(a1)
% 92.26/92.08 [3096]P127(a89)
% 92.26/92.08 [3097]P125(a1)
% 92.26/92.08 [3098]P131(a897)
% 92.26/92.08 [3099]P131(a1)
% 92.26/92.08 [3100]P131(a89)
% 92.26/92.08 [3101]P134(a1)
% 92.26/92.08 [3102]P136(a897)
% 92.26/92.08 [3103]P136(a1)
% 92.26/92.08 [3104]P136(a89)
% 92.26/92.08 [3105]P135(a897)
% 92.26/92.08 [3106]P135(a1)
% 92.26/92.08 [3107]P135(a89)
% 92.26/92.08 [3108]P87(a897)
% 92.26/92.08 [3109]P87(a1)
% 92.26/92.08 [3110]P87(a89)
% 92.26/92.08 [3111]P132(a897)
% 92.26/92.08 [3112]P132(a1)
% 92.26/92.08 [3113]P132(a89)
% 92.26/92.08 [3114]P138(a1)
% 92.26/92.08 [3115]P133(a897)
% 92.26/92.08 [3116]P133(a1)
% 92.26/92.08 [3117]P133(a89)
% 92.26/92.08 [3118]P142(a897)
% 92.26/92.08 [3119]P142(a1)
% 92.26/92.08 [3120]P142(a89)
% 92.26/92.08 [3121]P113(a897)
% 92.26/92.08 [3122]P113(a1)
% 92.26/92.08 [3123]P113(a89)
% 92.26/92.08 [3124]P143(a897)
% 92.26/92.08 [3125]P143(a1)
% 92.26/92.08 [3126]P143(a89)
% 92.26/92.08 [3127]P128(a897)
% 92.26/92.08 [3128]P128(a1)
% 92.26/92.08 [3129]P128(a89)
% 92.26/92.08 [3130]P126(a1)
% 92.26/92.08 [3131]P129(a1)
% 92.26/92.08 [3132]P81(a897)
% 92.26/92.08 [3133]P81(a1)
% 92.26/92.08 [3134]P81(a89)
% 92.26/92.08 [3135]P76(a897)
% 92.26/92.08 [3136]P76(a1)
% 92.26/92.08 [3137]P76(a89)
% 92.26/92.08 [3138]P82(a897)
% 92.26/92.08 [3139]P82(a1)
% 92.26/92.08 [3140]P82(a89)
% 92.26/92.08 [3141]P77(a897)
% 92.26/92.08 [3142]P77(a1)
% 92.26/92.08 [3143]P77(a89)
% 92.26/92.08 [3144]P78(a1)
% 92.26/92.08 [3145]P139(a1)
% 92.26/92.08 [3146]P130(a1)
% 92.26/92.08 [3147]P88(a897)
% 92.26/92.08 [3148]P88(a1)
% 92.26/92.08 [3149]P88(a89)
% 92.26/92.08 [3150]P119(a897)
% 92.26/92.08 [3151]P119(a1)
% 92.26/92.08 [3152]P119(a89)
% 92.26/92.08 [3153]P146(a897)
% 92.26/92.08 [3154]P146(a1)
% 92.26/92.08 [3155]P140(a1)
% 92.26/92.08 [3156]P92(a1)
% 92.26/92.08 [3157]P93(a897)
% 92.26/92.08 [3158]P93(a1)
% 92.26/92.08 [3159]P93(a89)
% 92.26/92.08 [3160]P94(a1)
% 92.26/92.08 [3161]P95(a897)
% 92.26/92.08 [3162]P95(a1)
% 92.26/92.08 [3163]P95(a89)
% 92.26/92.08 [3164]P144(a897)
% 92.26/92.08 [3165]P144(a1)
% 92.26/92.08 [3166]P144(a89)
% 92.26/92.08 [3167]P141(a1)
% 92.26/92.08 [3168]P114(a897)
% 92.26/92.08 [3169]P114(a1)
% 92.26/92.08 [3170]P114(a89)
% 92.26/92.08 [3171]P145(a897)
% 92.26/92.08 [3172]P145(a1)
% 92.26/92.08 [3173]P145(a89)
% 92.26/92.08 [3174]P3(a897)
% 92.26/92.08 [3175]P3(a1)
% 92.26/92.08 [3176]P3(a89)
% 92.26/92.08 [3177]P4(a1)
% 92.26/92.08 [3178]P89(a893)
% 92.26/92.08 [3179]P89(a1)
% 92.26/92.08 [3180]P96(a893)
% 92.26/92.08 [3181]P120(a1)
% 92.26/92.08 [3182]P117(a1)
% 92.26/92.08 [3183]P98(a893)
% 92.26/92.08 [3184]P98(a897)
% 92.26/92.08 [3185]P98(a1)
% 92.26/92.08 [3186]P99(a893)
% 92.26/92.08 [3187]P99(a897)
% 92.26/92.08 [3188]P99(a1)
% 92.26/92.08 [3189]P100(a893)
% 92.26/92.08 [3190]P5(a893)
% 92.26/92.08 [3191]P102(a893)
% 92.26/92.08 [3192]P102(a897)
% 92.26/92.08 [3193]P102(a1)
% 92.26/92.08 [3194]P104(a893)
% 92.26/92.08 [3195]P104(a897)
% 92.26/92.08 [3196]P104(a1)
% 92.26/92.08 [3197]P90(a1)
% 92.26/92.08 [3198]P85(a1)
% 92.26/92.08 [3199]P137(a1)
% 92.26/92.08 [3200]P74(a1)
% 92.26/92.08 [3201]P103(a893)
% 92.26/92.08 [3202]P115(a893)
% 92.26/92.08 [3203]P79(a897)
% 92.26/92.08 [3204]P79(a1)
% 92.26/92.08 [3205]P79(a89)
% 92.26/92.08 [3206]P116(a897)
% 92.26/92.08 [3207]P91(a897)
% 92.26/92.08 [3208]P91(a1)
% 92.26/92.08 [3209]P91(a89)
% 92.26/92.08 [3210]P60(a893)
% 92.26/92.08 [3211]P60(a896)
% 92.26/92.08 [3212]P106(a893)
% 92.26/92.08 [3213]P106(a897)
% 92.26/92.08 [3214]P106(a894)
% 92.26/92.08 [3215]P106(a89)
% 92.26/92.08 [3216]P106(a896)
% 92.26/92.08 [3217]P106(a313)
% 92.26/92.08 [3218]P105(a1)
% 92.26/92.08 [3219]P105(a896)
% 92.26/92.08 [3220]P121(a897)
% 92.26/92.08 [3221]P121(a1)
% 92.26/92.08 [3222]P121(a89)
% 92.26/92.08 [3223]P118(a1)
% 92.26/92.08 [3224]P101(a893)
% 92.26/92.08 [3238]P36(a897,a230)
% 92.26/92.08 [3239]P36(a897,a307)
% 92.26/92.08 [3240]P37(a897,a230)
% 92.26/92.08 [4567]~E(a87,a77)
% 92.26/92.08 [4568]~E(a87,a77)
% 92.26/92.08 [4569]~P1(a229)
% 92.26/92.08 [3033]E(f2(a1),a77)
% 92.26/92.08 [3034]E(f90(a89),a3)
% 92.26/92.08 [3035]E(f23(a89),a24)
% 92.26/92.08 [3225]E(f178(a897),f2(a897))
% 92.26/92.08 [3226]E(f223(a897),f91(a897))
% 92.26/92.08 [3227]E(f228(a897),f92(a897))
% 92.26/92.08 [3228]E(f93(a1),f25(a1))
% 92.26/92.08 [3229]E(f78(a229),f2(a897))
% 92.26/92.08 [3230]E(f78(a177),f2(a897))
% 92.26/92.08 [3231]P6(f72(a1))
% 92.26/92.08 [3232]P6(f2(a1))
% 92.26/92.08 [3286]P36(f903(a897,a897),a26)
% 92.26/92.08 [3629]E(f310(a897,a897,a230,a230),a26)
% 92.26/92.08 [4570]~E(f72(a1),f2(a1))
% 92.26/92.08 [3233]E(f101(f2(a897)),f2(a897))
% 92.26/92.08 [3234]E(f4(f2(a89)),f2(a897))
% 92.26/92.08 [3242]E(f317(f73(a1),a77),a77)
% 92.26/92.08 [3245]E(f317(a102,f2(a897)),f72(a897))
% 92.26/92.08 [3246]E(f317(a95,f72(a1)),f72(a897))
% 92.26/92.08 [3247]E(f317(a3,f72(a897)),f72(a89))
% 92.26/92.08 [3248]E(f317(a95,f2(a1)),f2(a897))
% 92.26/92.08 [3249]E(f317(a3,f2(a897)),f2(a89))
% 92.26/92.08 [3250]E(f317(f94(a897),a77),f2(a897))
% 92.26/92.08 [3251]E(f317(f94(a1),a77),f2(a1))
% 92.26/92.08 [3252]E(f317(f94(a89),a77),f2(a89))
% 92.26/92.08 [3253]E(f317(a95,f2(a1)),f2(a897))
% 92.26/92.08 [3254]E(f317(f94(a897),a77),f2(a897))
% 92.26/92.08 [3255]E(f317(f179(a893),a229),f2(a897))
% 92.26/92.08 [3256]E(f317(f179(a893),a177),f2(a897))
% 92.26/92.08 [3262]E(f317(f73(a1),f72(a1)),a87)
% 92.26/92.08 [3267]E(f317(f90(a1),f72(a897)),f72(a1))
% 92.26/92.08 [3268]E(f317(f90(a1),f2(a897)),f2(a1))
% 92.26/92.08 [3269]E(f317(f179(a897),f2(a897)),f2(a897))
% 92.26/92.08 [3270]E(f317(f179(a89),f2(a89)),f2(a897))
% 92.26/92.08 [3271]E(f317(f90(a1),f72(a897)),f72(a1))
% 92.26/92.08 [3272]E(f317(f90(a1),f2(a897)),f2(a1))
% 92.26/92.08 [3273]E(f317(f73(a1),f2(a1)),f2(a1))
% 92.26/92.08 [3283]E(f317(a95,f72(a1)),f317(a102,f2(a897)))
% 92.26/92.08 [3284]E(f308(f903(a897,a897),a26),a27)
% 92.26/92.08 [3285]E(f309(f903(a897,a897),a26),a28)
% 92.26/92.08 [3287]P1(f317(f29(a895),a905))
% 92.26/92.08 [3313]E(f317(f272(a897),f2(a897)),f178(f904(a897,a893)))
% 92.26/92.08 [3314]E(f317(f273(a897),f2(a897)),f232(f904(a897,a893)))
% 92.26/92.08 [3322]P39(f178(f904(a1,a893)))
% 92.26/92.08 [3356]E(f317(f317(f23(a89),f2(a89)),f72(a89)),f2(a89))
% 92.26/92.08 [3400]E(f317(f317(f144(a1,a897),a95),f103(a1)),f103(a897))
% 92.26/92.08 [3432]P1(f317(f317(f225(a1),a87),f2(a1)))
% 92.26/92.08 [3456]P1(f317(f317(f224(a1),f2(a1)),f72(a1)))
% 92.26/92.08 [3457]P1(f317(f317(f224(a1),f2(a1)),f2(a1)))
% 92.26/92.08 [3458]P1(f317(f317(f225(a1),f2(a1)),f72(a1)))
% 92.26/92.08 [3660]E(f317(f317(f279(a897,a897,a897),a307),f297(a897,a307)),a230)
% 92.26/92.08 [3697]P40(a1,a897,a95,f317(f224(a1),f2(a1)))
% 92.26/92.08 [3701]E(f317(f317(f35(a897,f904(a897,a893)),f232(f904(a897,a893))),f272(a897)),f232(f904(a897,a893)))
% 92.26/92.08 [3702]E(f317(f317(f35(a897,f904(a897,a893)),f232(f904(a897,a893))),f291(a897)),f232(f904(a897,a893)))
% 92.26/92.08 [3703]E(f317(f317(f35(a897,f904(a897,a893)),f232(f904(a897,a893))),f273(a897)),f232(f904(a897,a893)))
% 92.26/92.08 [3704]E(f317(f317(f36(a897,f904(a897,a893)),f232(f904(a897,a893))),f294(a897)),f178(f904(a897,a893)))
% 92.26/92.08 [3719]P24(a897,a1,f90(a1),f232(f904(a897,a893)))
% 92.26/92.08 [3733]P40(a897,a1,f90(a1),f317(f16(a893,a897),a177))
% 92.26/92.08 [3868]E(f317(f67(a897,a89,a1,a3),a95),f94(a89))
% 92.26/92.08 [4041]E(f317(f317(f23(a897),f317(f30(a892),f317(f300(a895,a892,a908),a905))),f317(a102,a910)),f317(f30(a892),a906))
% 92.26/92.08 [4090]P56(a89,a897,a20,a3,f232(f904(a897,a893)))
% 92.26/92.08 [4094]P56(a1,f904(f903(a897,a897),a893),a97,a83,a88)
% 92.26/92.08 [4348]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a47)
% 92.26/92.08 [4579]~E(f317(f94(a1),a87),f317(f94(a1),a77))
% 92.26/92.08 [4580]~P1(f317(a183,f72(a1)))
% 92.26/92.08 [4581]~P1(f317(a183,f2(a1)))
% 92.26/92.08 [4606]~P1(f317(f317(f225(a1),a77),f2(a1)))
% 92.26/92.08 [3305]E(f317(f317(f23(a1),a87),a87),a77)
% 92.26/92.08 [3306]E(f317(f317(f74(a1),a77),a77),a77)
% 92.26/92.08 [3307]E(f317(f317(f74(a1),a77),a87),a87)
% 92.26/92.08 [3320]E(f317(f90(a1),f317(a102,f2(a897))),f72(a1))
% 92.26/92.08 [3385]E(f317(f30(a896),f232(f904(a896,a893))),f72(a897))
% 92.26/92.08 [3405]P1(f317(a183,f317(f94(a1),a87)))
% 92.26/92.08 [3406]P1(f317(f317(f224(a1),a77),a77))
% 92.26/92.08 [3407]P1(f317(f317(f224(a1),a87),a77))
% 92.26/92.08 [3408]P1(f317(f317(f224(a1),a87),a87))
% 92.26/92.08 [3409]P1(f317(f317(f319(a895),a907),a905))
% 92.26/92.08 [3410]P1(f317(f317(f225(a1),a87),a77))
% 92.26/92.08 [3466]E(f317(f317(f299(a897),f2(a897)),f178(f904(a897,a893))),f317(f291(a897),f2(a897)))
% 92.26/92.08 [3519]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),a77)))
% 92.26/92.08 [3525]P1(f317(f317(f319(a892),f317(a908,a907)),a906))
% 92.26/92.08 [3532]E(f317(f300(a897,a897,a102),f232(f904(a897,a893))),f317(f294(a897),f2(a897)))
% 92.26/92.08 [3538]E(f317(f300(a1,a897,a95),f178(f904(a1,a893))),f178(f904(a897,a893)))
% 92.26/92.08 [3546]E(f317(f300(a897,a1,f90(a1)),f178(f904(a897,a893))),f178(f904(a1,a893)))
% 92.26/92.08 [3567]P8(f903(a897,a897),f232(f904(f903(a897,a897),a893)),a99)
% 92.26/92.08 [3875]E(f317(f67(a897,a1,a89,f90(a1)),a20),a22)
% 92.26/92.08 [3934]P36(a897,f317(f252(f903(a897,a897)),f317(f247(a897,a897,a893),f225(a897))))
% 92.26/92.08 [3972]P1(f317(f317(f224(f904(a892,a893)),a906),f317(f300(a895,a892,a908),a905)))
% 92.26/92.08 [4597]~P1(f317(a183,f317(f94(a1),a77)))
% 92.26/92.08 [4598]~P1(f317(f317(f224(a1),a77),a87))
% 92.26/92.08 [4599]~P1(f317(f317(f225(a1),a77),a77))
% 92.26/92.08 [4600]~P1(f317(f317(f225(a1),a77),a87))
% 92.26/92.08 [4601]~P1(f317(f317(f225(a1),a87),a87))
% 92.26/92.08 [4610]~P1(f317(f29(a897),f232(f904(a897,a893))))
% 92.26/92.08 [4611]~P1(f317(f29(a1),f232(f904(a1,a893))))
% 92.26/92.08 [4059]P1(f317(f317(f224(a897),f317(a102,a910)),f317(f30(a892),f317(f300(a895,a892,a908),a905))))
% 92.26/92.08 [4514]E(f317(f247(a1,a1,a893),f317(f317(f8(f904(a1,a893),f904(a1,a893),a1),f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f225(a1),f2(a1))))),f317(f317(f7(a1,a1,f904(a1,a893)),f317(f317(f8(f904(a1,f904(a1,a893)),f904(a1,f904(a1,a893)),a1),f7(a1,a1,a893)),f317(f317(f8(f904(a1,a1),f904(a1,f904(a1,a893)),a1),f317(f8(a1,f904(a1,a893),a1),a314)),a207))),f72(a1)))),a203)
% 92.26/92.08 [3570]E(f317(f317(f23(a1),f317(f317(f74(a1),a87),a87)),a87),a87)
% 92.26/92.08 [3604]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f73(a1),a87))
% 92.26/92.08 [3642]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f317(f23(a1),a77),a87))
% 92.26/92.08 [3802]E(f317(f317(f56(f903(a897,a897)),f232(f904(f903(a897,a897),a893))),a99),a88)
% 92.26/92.08 [4632]~P1(f317(f317(f224(f904(a892,a893)),f317(f317(f299(a892),f317(a908,a907)),f178(f904(a892,a893)))),a906))
% 92.26/92.08 [3830]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a897))
% 92.26/92.08 [3831]E(f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a1))
% 92.26/92.08 [3832]E(f317(f94(a89),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a89))
% 92.26/92.08 [3833]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a897))
% 92.26/92.08 [3836]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(a102,f2(a897)))
% 92.26/92.08 [4216]E(f317(f317(f91(f904(f903(f903(a897,a897),f903(a897,a897)),a893)),a26),f297(f903(a897,a897),f178(f904(f903(f903(a897,a897),f903(a897,a897)),a893)))),a65)
% 92.26/92.08 [4282]E(f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),f72(a897)),f2(a897))),f178(f904(f903(a897,a897),a893))))),f72(a1))
% 92.26/92.08 [4283]E(f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),f2(a897)),f2(a897))),f178(f904(f903(a897,a897),a893))))),f2(a1))
% 92.26/92.08 [4296]E(f317(f252(f903(a897,a897)),f317(f247(a897,a897,a893),f317(f317(f8(a897,f904(a897,a893),a897),f317(f7(a897,a897,a893),a314)),a102))),a307)
% 92.26/92.08 [4267]E(f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(a102,f317(a102,f2(a897))))
% 92.26/92.08 [4268]E(f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(a102,f317(a102,f2(a897))))
% 92.26/92.08 [4271]E(f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f317(f74(a897),f72(a897)),f72(a897)))
% 92.26/92.08 [4272]E(f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f30(a893),f232(f904(a893,a893))))
% 92.26/92.08 [4335]P6(f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 92.26/92.08 [4404]P26(f904(f903(a897,a897),a893),f317(f317(f242(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893),f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)),a27),a66))
% 92.26/92.08 [4405]P26(f904(f903(a897,a897),a893),f317(f317(f242(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893),f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)),a28),a64))
% 92.26/92.08 [4445]E(f317(f317(f91(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)),f309(f903(a897,a897),a65)),f317(f317(f299(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f178(f904(f903(a897,a897),a893))),f178(f904(f903(a897,a897),a893)))),f178(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)))),a64)
% 92.26/92.08 [4446]E(f317(f317(f91(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)),f308(f903(a897,a897),a65)),f317(f317(f299(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f178(f904(f903(a897,a897),a893))),f178(f904(f903(a897,a897),a893)))),f178(f904(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a893)))),a66)
% 92.26/92.08 [4337]E(f317(a95,f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,f2(a897))))
% 92.26/92.08 [4381]E(f317(a95,f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 92.26/92.08 [4382]E(f317(f90(a1),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 92.26/92.08 [4415]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.26/92.08 [4416]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)),f317(a102,f317(a102,f317(a102,f2(a897)))))
% 92.26/92.08 [4460]P6(f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))
% 92.26/92.08 [4485]E(f317(a95,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))
% 92.26/92.08 [4486]E(f317(f90(a1),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))
% 92.26/92.08 [4499]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))))
% 92.26/92.08 [3241]P7(x32411,a314)
% 92.26/92.08 [3630]P24(a897,a897,a102,x36301)
% 92.26/92.08 [3235]P106(f900(x32351))
% 92.26/92.08 [3236]P106(f898(x32361))
% 92.26/92.08 [3237]P106(f899(x32371))
% 92.26/92.08 [3257]P36(a1,f96(x32571))
% 92.26/92.08 [3258]P36(a1,f98(x32581))
% 92.26/92.08 [3309]P36(f904(x33091,a893),f304(x33091))
% 92.26/92.08 [3310]P37(f904(x33101,a893),f304(x33101))
% 92.26/92.08 [3334]E(f233(x33341,x33341,a314),a314)
% 92.26/92.08 [3349]E(f41(a1,x33491,x33491),f2(a1))
% 92.26/92.08 [3402]P14(x34021,f904(x34021,a893),f299(x34021))
% 92.26/92.08 [4571]~E(f317(a102,x45711),x45711)
% 92.26/92.08 [4572]~E(f317(a102,x45721),x45721)
% 92.26/92.08 [4573]~E(f317(a102,x45731),f2(a897))
% 92.26/92.08 [4574]~E(f317(a102,x45741),f2(a897))
% 92.26/92.08 [4575]~E(f317(a102,x45751),f2(a897))
% 92.26/92.08 [4576]~E(f317(a102,x45761),f2(a897))
% 92.26/92.08 [4577]~E(f317(a102,x45771),f2(a897))
% 92.26/92.08 [4578]~E(f317(a102,x45781),f2(a897))
% 92.26/92.08 [3243]E(f317(f94(a1),x32431),x32431)
% 92.26/92.08 [3244]E(f317(f179(a897),x32441),x32441)
% 92.26/92.08 [3259]E(f317(a83,f318(x32591)),x32591)
% 92.26/92.08 [3260]E(f317(a3,f547(x32601)),x32601)
% 92.26/92.08 [3261]E(f231(x32611,f2(a89)),f2(a89))
% 92.26/92.08 [3274]E(f104(x32741,f103(x32741)),f103(x32741))
% 92.26/92.08 [3275]E(f142(x32751,f103(x32751)),f103(x32751))
% 92.26/92.08 [3280]E(f317(f157(x32801),f103(x32801)),f103(x32801))
% 92.26/92.08 [3281]E(f317(f161(x32811),f103(x32811)),f103(x32811))
% 92.26/92.08 [3282]E(f317(f158(x32821),f103(x32821)),f103(x32821))
% 92.26/92.08 [3288]E(f317(f94(a1),x32881),f317(f93(a1),x32881))
% 92.26/92.08 [3289]E(f317(a83,f317(a97,x32891)),x32891)
% 92.26/92.08 [3290]E(f317(a3,f317(a20,x32901)),x32901)
% 92.26/92.08 [3291]E(f317(a3,f317(a20,x32911)),x32911)
% 92.26/92.08 [3292]E(f317(a20,f317(a3,x32921)),x32921)
% 92.26/92.08 [3294]P6(f317(f90(a1),x32941))
% 92.26/92.08 [3303]E(f317(f179(f898(x33031)),f103(x33031)),f2(a897))
% 92.26/92.08 [3304]E(f317(f179(f899(x33041)),f109(x33041)),f2(a897))
% 92.26/92.08 [3325]E(f317(f317(f23(a897),x33251),f2(a897)),x33251)
% 92.26/92.08 [3326]E(f317(f317(f74(a897),x33261),f2(a897)),x33261)
% 92.26/92.08 [3327]E(f317(f317(f74(a1),x33271),f2(a1)),x33271)
% 92.26/92.08 [3328]E(f317(f317(f75(a897),x33281),f72(a897)),x33281)
% 92.26/92.08 [3329]E(f317(f317(f75(a1),x33291),f72(a1)),x33291)
% 92.26/92.08 [3330]E(f317(f317(f223(a897),x33301),f2(a897)),x33301)
% 92.26/92.08 [3331]E(f317(f317(f75(a897),x33311),f2(a897)),f2(a897))
% 92.26/92.08 [3332]E(f317(f317(f31(a1),x33321),f2(a1)),f2(a1))
% 92.26/92.08 [3333]E(f317(f317(f228(a897),x33331),f2(a897)),f2(a897))
% 92.26/92.08 [3340]E(f317(f162(x33401),f103(x33401)),f178(f904(x33401,a893)))
% 92.26/92.08 [3344]P1(f317(f127(x33441),f103(x33441)))
% 92.26/92.08 [3350]E(f317(f144(x33501,x33501),f5(x33501)),f25(f898(x33501)))
% 92.26/92.08 [3351]E(f317(f144(x33511,x33511),f25(x33511)),f25(f898(x33511)))
% 92.26/92.08 [3352]E(f41(a1,x33521,f2(a1)),x33521)
% 92.26/92.08 [3353]E(f317(f224(a897),f317(a102,x33531)),f317(f225(a897),x33531))
% 92.26/92.08 [3354]E(f317(f272(a897),f317(a102,x33541)),f317(f291(a897),x33541))
% 92.26/92.08 [3355]E(f317(f273(a897),f317(a102,x33551)),f317(f294(a897),x33551))
% 92.26/92.08 [3357]E(f41(a1,f2(a1),x33571),f2(a1))
% 92.26/92.08 [3370]E(f317(f317(f74(a897),x33701),f72(a897)),f317(a102,x33701))
% 92.26/92.08 [3379]E(f317(f292(a897,x33791),f2(a897)),f178(f904(a897,a893)))
% 92.26/92.08 [3391]E(f293(a897,f2(a897),x33911),f317(f291(a897),x33911))
% 92.26/92.08 [3435]E(f317(f317(f23(a897),f317(a102,x34351)),f72(a897)),x34351)
% 92.26/92.08 [3447]E(f43(f2(a1),x34471),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 92.26/92.08 [3451]E(f317(f317(f74(a897),f317(a20,x34511)),f2(a897)),f317(a20,x34511))
% 92.26/92.08 [3494]P1(f317(f317(f225(a897),x34941),f317(a102,x34941)))
% 92.26/92.08 [3506]P1(f317(f317(f225(a897),f2(a897)),f317(a102,x35061)))
% 92.26/92.08 [3517]E(f317(f317(f173(f898(x35171),f898(x35171)),f2(a897)),f157(x35171)),f25(f898(x35171)))
% 92.26/92.08 [3732]E(f85(x37321,x37321,f232(f904(x37321,a893)),f25(x37321)),f25(x37321))
% 92.26/92.08 [3789]E(f317(f317(f23(a89),f317(a3,f317(a102,f317(a20,x37891)))),f72(a89)),x37891)
% 92.26/92.08 [3859]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x38591))),f2(a1)))
% 92.26/92.08 [4003]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40031)))),f2(a1)))
% 92.26/92.08 [4102]P25(x41021,x41021,f25(x41021),f232(f904(x41021,a893)),f232(f904(x41021,a893)))
% 92.26/92.08 [4586]~E(f232(f904(x45861,a893)),f178(f904(x45861,a893)))
% 92.26/92.08 [4607]~P1(f317(f317(f225(a897),x46071),f2(a897)))
% 92.26/92.08 [4608]~P1(f317(f317(f225(a897),x46081),f2(a897)))
% 92.26/92.08 [4609]~P1(f317(f317(f225(a897),x46091),f2(a897)))
% 92.26/92.08 [4620]~P1(f317(f317(f225(a1),f317(f90(a1),x46201)),f2(a1)))
% 92.26/92.08 [3293]E(f110(x32931,f109(f899(x32931))),f109(x32931))
% 92.26/92.08 [3308]E(f169(x33081,f103(f898(x33081))),f103(f898(x33081)))
% 92.26/92.08 [3311]E(f317(f317(f75(a1),a77),x33111),a77)
% 92.26/92.08 [3312]E(f317(f317(f74(a1),a77),x33121),x33121)
% 92.26/92.08 [3315]E(f317(a95,f317(f90(a1),x33151)),x33151)
% 92.26/92.08 [3316]E(f317(f317(f23(a1),x33161),a77),x33161)
% 92.26/92.08 [3317]E(f317(f317(f74(a1),x33171),a77),x33171)
% 92.26/92.08 [3319]E(f317(f317(f23(a897),x33191),x33191),f2(a897))
% 92.26/92.08 [3323]E(f317(f30(a897),f317(f272(a897),x33231)),x33231)
% 92.26/92.08 [3324]E(f317(f73(a1),f317(f73(a1),x33241)),x33241)
% 92.26/92.08 [3335]E(f317(f317(f74(a897),f2(a897)),x33351),x33351)
% 92.26/92.08 [3336]E(f317(f317(f74(a1),f2(a1)),x33361),x33361)
% 92.26/92.08 [3337]E(f317(f317(f75(a897),f72(a897)),x33371),x33371)
% 92.26/92.08 [3338]E(f317(f317(f75(a1),f72(a1)),x33381),x33381)
% 92.26/92.08 [3339]E(f317(f317(f223(a897),f2(a897)),x33391),x33391)
% 92.26/92.08 [3345]E(f317(f317(f23(a897),f2(a897)),x33451),f2(a897))
% 92.26/92.08 [3346]E(f317(f317(f75(a897),f2(a897)),x33461),f2(a897))
% 92.26/92.08 [3347]E(f317(f317(f31(a1),f2(a1)),x33471),f2(a1))
% 92.26/92.08 [3348]E(f317(f317(f228(a897),f2(a897)),x33481),f2(a897))
% 92.26/92.08 [3358]E(f118(x33581,f317(f73(a1),x33581)),f122(a1,x33581))
% 92.26/92.08 [3363]E(f317(f292(a897,f2(a897)),x33631),f317(f272(a897),x33631))
% 92.26/92.08 [3364]E(f317(f317(f75(a1),a87),x33641),f317(f73(a1),x33641))
% 92.26/92.08 [3371]E(f317(a95,f317(f94(a1),x33711)),f317(f94(a897),x33711))
% 92.26/92.08 [3372]E(f317(a95,f317(f94(a1),x33721)),f317(f94(a897),x33721))
% 92.26/92.08 [3373]E(f317(a20,f317(f94(a89),x33731)),f317(f94(a897),x33731))
% 92.26/92.08 [3374]E(f317(f30(a897),f317(f291(a897),x33741)),f317(a102,x33741))
% 92.26/92.08 [3383]E(f317(f317(f74(a897),f72(a897)),x33831),f317(a102,x33831))
% 92.26/92.08 [3387]E(f317(f93(a1),f317(f90(a1),x33871)),f317(f90(a1),x33871))
% 92.26/92.08 [3388]E(f317(f70(a1),f317(f90(a1),x33881)),f317(f90(a1),x33881))
% 92.26/92.08 [3392]E(f317(f30(x33921),f178(f904(x33921,a893))),f2(a897))
% 92.26/92.08 [3394]E(f317(f317(f31(a897),x33941),f317(a102,f2(a897))),x33941)
% 92.26/92.08 [3403]E(f41(a897,x34031,f317(a102,f2(a897))),f2(a897))
% 92.26/92.08 [3404]E(f41(a1,x34041,f317(f94(a1),a87)),f2(a1))
% 92.26/92.08 [3412]E(f317(f317(f74(a1),a87),x34121),f317(f317(f74(a1),x34121),a87))
% 92.26/92.08 [3419]E(f317(f317(f31(a1),x34191),f317(f94(a1),a87)),f317(f73(a1),x34191))
% 92.26/92.08 [3423]E(f129(a897,f317(f292(a897,x34231),f2(a897))),f103(a897))
% 92.26/92.08 [3424]E(f317(f317(f74(a1),x34241),f72(a1)),f317(f317(f23(a1),x34241),a87))
% 92.26/92.08 [3425]E(f317(f317(f23(a1),x34251),f72(a1)),f317(f317(f74(a1),x34251),a87))
% 92.26/92.08 [3429]P1(f317(f317(f224(a897),x34291),x34291))
% 92.26/92.08 [3430]P1(f317(f317(f224(a1),x34301),x34301))
% 92.26/92.08 [3431]P1(f317(f317(f277(a897),x34311),x34311))
% 92.26/92.08 [3436]E(f317(f73(a1),f317(f94(a1),x34361)),f317(f94(a1),f317(f73(a1),x34361)))
% 92.26/92.08 [3437]P1(f317(f29(a897),f317(f272(a897),x34371)))
% 92.26/92.08 [3438]P1(f317(f29(a897),f317(f291(a897),x34381)))
% 92.26/92.08 [3445]E(f151(x34451,f232(f904(x34451,a893))),f232(f904(f898(x34451),a893)))
% 92.26/92.08 [3449]P1(f317(f317(f224(a897),f2(a897)),x34491))
% 92.26/92.08 [3450]P1(f317(f317(f224(a897),f2(a897)),x34501))
% 92.26/92.08 [3460]E(f317(f317(f74(a897),f101(x34601)),f317(a102,f2(a897))),f101(f317(a102,x34601)))
% 92.26/92.08 [3461]E(f317(f252(x34611),f317(f16(a893,x34611),a229)),f178(f904(x34611,a893)))
% 92.26/92.08 [3462]E(f317(f252(x34621),f317(f16(a893,x34621),a177)),f232(f904(x34621,a893)))
% 92.26/92.08 [3465]E(f317(f317(f299(a897),x34651),f317(f272(a897),x34651)),f317(f272(a897),f317(a102,x34651)))
% 92.26/92.08 [3477]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34771)),f317(f90(a1),f317(a102,x34771)))
% 92.26/92.08 [3479]E(f317(f317(f141(f898(x34791)),f103(x34791)),f103(f898(x34791))),f50(x34791,f103(x34791)))
% 92.26/92.08 [3497]E(f178(f904(f903(x34971,x34971),a893)),f253(x34971,f178(f904(x34971,a893))))
% 92.26/92.08 [3498]E(f317(f298(x34981),f232(f904(x34981,a893))),f232(f904(f904(x34981,a893),a893)))
% 92.26/92.08 [3499]E(f317(f73(f904(x34991,a893)),f178(f904(x34991,a893))),f232(f904(x34991,a893)))
% 92.26/92.08 [3500]E(f317(f73(f904(x35001,a893)),f232(f904(x35001,a893))),f178(f904(x35001,a893)))
% 92.26/92.08 [3501]P1(f317(f29(x35011),f178(f904(x35011,a893))))
% 92.26/92.08 [3502]P1(f317(f29(x35021),f178(f904(x35021,a893))))
% 92.26/92.08 [3504]E(f317(f292(a897,x35041),f317(a102,x35041)),f317(f317(f299(a897),x35041),f178(f904(a897,a893))))
% 92.26/92.08 [3505]E(f79(f903(a897,a897),f44(x35051,f2(a897))),f317(f317(f242(a897,a897),f2(a897)),x35051))
% 92.26/92.08 [3518]E(f317(f317(f299(a897),f317(a102,x35181)),f317(f291(a897),x35181)),f317(f291(a897),f317(a102,x35181)))
% 92.26/92.08 [3522]P36(x35221,f178(f904(f903(x35221,x35221),a893)))
% 92.26/92.08 [3523]P38(x35231,f178(f904(f903(x35231,x35231),a893)))
% 92.26/92.08 [3526]P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x35261)))
% 92.26/92.08 [3527]P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x35271)))
% 92.26/92.08 [3534]E(f317(f317(f74(a897),f317(f179(a897),x35341)),f317(a102,f2(a897))),f317(f179(a897),f317(a102,x35341)))
% 92.26/92.08 [3580]P1(f317(f317(f319(a897),f547(x35801)),f232(f904(a897,a893))))
% 92.26/92.08 [3582]E(f317(f300(x35821,x35821,f25(x35821)),f232(f904(x35821,a893))),f232(f904(x35821,a893)))
% 92.26/92.08 [3637]P39(f317(f300(a897,a1,f90(a1)),x36371))
% 92.26/92.08 [3675]P52(x36751,f178(f904(x36751,a893)),f178(f904(f903(x36751,x36751),a893)))
% 92.26/92.08 [3693]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f23(a1),x36931),f72(a1))),f46(f317(f94(a1),a87),x36931))
% 92.26/92.08 [3694]P1(f317(f317(f319(a897),f317(a20,x36941)),f232(f904(a897,a893))))
% 92.26/92.08 [3745]P59(x37451,f317(f16(f904(x37451,a893),x37451),f317(f16(a893,x37451),a229)))
% 92.26/92.08 [3757]E(f280(a897,f277(a897),x37571,x37571),f317(f317(f299(a897),x37571),f178(f904(a897,a893))))
% 92.26/92.08 [3928]E(f317(f132(f898(x39281),f898(x39281),f124(x39281),f103(x39281)),f103(f898(x39281))),f103(x39281))
% 92.26/92.08 [3946]P1(f317(f317(f319(f904(f903(a897,a897),a893)),f318(x39461)),a88))
% 92.26/92.08 [3971]P1(f317(f317(f319(f904(f903(a897,a897),a893)),f317(a97,x39711)),a88))
% 92.26/92.08 [4103]P24(x41031,f904(x41031,a893),f317(f317(f7(x41031,f904(x41031,a893),f904(x41031,a893)),f299(x41031)),f178(f904(x41031,a893))),f232(f904(x41031,a893)))
% 92.26/92.08 [4582]~E(f317(f317(f74(a1),x45821),x45821),a87)
% 92.26/92.08 [4583]~E(f317(f317(f74(a1),x45831),x45831),a87)
% 92.26/92.08 [4595]~E(f317(a3,f317(a102,f317(a20,x45951))),f2(a89))
% 92.26/92.08 [4596]~E(f317(a3,f317(a102,f317(a20,x45961))),f2(a89))
% 92.26/92.08 [4602]~P1(f317(a183,f317(f90(a1),x46021)))
% 92.26/92.08 [4604]~P1(f317(f317(f225(a897),x46041),x46041))
% 92.26/92.08 [4605]~P1(f317(f317(f225(a897),x46051),x46051))
% 92.26/92.08 [4613]~P1(f317(f317(f224(a897),f317(a102,x46131)),x46131))
% 92.26/92.08 [3452]E(f317(a95,f317(f73(a1),f317(f90(a1),x34521))),f2(a897))
% 92.26/92.08 [3455]E(f317(f317(f74(a1),f317(f73(a1),x34551)),x34551),f2(a1))
% 92.26/92.08 [3459]E(f317(f30(a1),f317(f292(a1,f2(a1)),x34591)),f317(a95,x34591))
% 92.26/92.08 [3470]E(f317(f317(f234(a897),f317(a102,f2(a897))),x34701),f317(a102,f2(a897)))
% 92.26/92.08 [3564]E(f317(f271(x35641),f178(f904(f903(x35641,x35641),a893))),f178(f904(x35641,a893)))
% 92.26/92.08 [3566]P1(f317(f29(a1),f317(f292(a1,f2(a1)),x35661)))
% 92.26/92.08 [3572]E(f33(f904(x35721,a893),f178(f904(f904(x35721,a893),a893))),f232(f904(x35721,a893)))
% 92.26/92.08 [3573]E(f33(f904(x35731,a893),f232(f904(f904(x35731,a893),a893))),f178(f904(x35731,a893)))
% 92.26/92.08 [3574]E(f32(f904(x35741,a893),f178(f904(f904(x35741,a893),a893))),f178(f904(x35741,a893)))
% 92.26/92.08 [3575]E(f32(f904(x35751,a893),f232(f904(f904(x35751,a893),a893))),f232(f904(x35751,a893)))
% 92.26/92.08 [3579]P1(f317(f317(f277(a897),f317(a102,f2(a897))),x35791))
% 92.26/92.08 [3620]E(f317(f317(f299(f898(x36201)),f103(x36201)),f178(f904(f898(x36201),a893))),f151(x36201,f178(f904(x36201,a893))))
% 92.26/92.08 [3621]E(f317(f317(f299(f898(x36211)),f103(x36211)),f178(f904(f898(x36211),a893))),f152(x36211,f103(f904(x36211,a893))))
% 92.26/92.08 [3648]E(f317(f317(f74(a1),f317(f73(a1),x36481)),f317(f73(a1),x36481)),f317(f73(a1),f317(f317(f74(a1),x36481),x36481)))
% 92.26/92.08 [3659]E(f317(f317(f74(a897),f4(x36591)),f317(a102,f2(a897))),f4(f317(a3,f317(a102,f317(a20,x36591)))))
% 92.26/92.08 [3684]E(f317(f30(a1),f317(f300(a897,a1,f90(a1)),x36841)),f317(f30(a897),x36841))
% 92.26/92.08 [3687]P1(f317(f317(f224(a897),x36871),f317(f317(f75(a897),x36871),x36871)))
% 92.26/92.08 [3723]E(f317(f300(a1,a897,a95),f293(a1,f2(a1),f317(f90(a1),x37231))),f317(f291(a897),x37231))
% 92.26/92.08 [3740]E(f317(f317(f31(a897),f317(a102,f2(a897))),f317(f94(a897),x37401)),f317(a95,f317(f317(f31(a1),f72(a1)),f317(f94(a1),x37401))))
% 92.26/92.08 [3742]E(f317(f162(a897),f129(a897,f317(f292(a897,f2(a897)),f317(a102,x37421)))),f317(f291(a897),x37421))
% 92.26/92.08 [3743]E(f317(f317(f74(a897),f317(f179(a89),x37431)),f317(a102,f2(a897))),f317(f179(a89),f317(a3,f317(a102,f317(a20,x37431)))))
% 92.26/92.08 [3762]P37(x37621,f297(x37621,f178(f904(f903(x37621,x37621),a893))))
% 92.26/92.08 [3763]P38(x37631,f297(x37631,f178(f904(f903(x37631,x37631),a893))))
% 92.26/92.08 [3764]P51(x37641,f297(x37641,f178(f904(f903(x37641,x37641),a893))))
% 92.26/92.08 [3765]E(f317(f300(a1,a897,a95),f317(f300(a897,a1,f90(a1)),x37651)),x37651)
% 92.26/92.08 [3795]E(f317(f317(f299(a897),f2(a897)),f317(f300(a897,a897,a102),f317(f272(a897),x37951))),f317(f272(a897),f317(a102,x37951)))
% 92.26/92.08 [3801]P54(x38011,x38011,f297(x38011,f178(f904(f903(x38011,x38011),a893))))
% 92.26/92.08 [3807]P1(f317(a183,f317(f73(a1),f317(f90(a1),f317(a102,x38071)))))
% 92.26/92.08 [3817]E(f317(f317(f23(f904(a897,a893)),f317(f273(a897),x38171)),f317(f317(f299(a897),x38171),f178(f904(a897,a893)))),f317(f273(a897),f317(a102,x38171)))
% 92.26/92.08 [3834]E(f317(f317(f74(a1),f317(f317(f23(a1),a77),x38341)),f317(f317(f23(a1),a77),x38341)),f317(f317(f23(a1),a77),f317(f317(f74(a1),x38341),x38341)))
% 92.26/92.08 [3837]P52(x38371,f232(f904(x38371,a893)),f297(x38371,f178(f904(f903(x38371,x38371),a893))))
% 92.26/92.08 [3848]E(f317(f317(f299(f904(x38481,a893)),f178(f904(x38481,a893))),f178(f904(f904(x38481,a893),a893))),f317(f298(x38481),f178(f904(x38481,a893))))
% 92.26/92.08 [3876]E(f317(f317(f23(f904(a897,a893)),f317(f294(a897),x38761)),f317(f317(f299(a897),f317(a102,x38761)),f178(f904(a897,a893)))),f317(f294(a897),f317(a102,x38761)))
% 92.26/92.08 [3984]E(f317(f94(a897),f317(f317(f74(a1),x39841),x39841)),f317(f317(f80(a897,a897),f317(f94(a897),x39841)),f317(f317(f18(a897,a897,a897),f74(a897)),f5(a897))))
% 92.26/92.08 [4357]P14(x43571,f904(x43571,a893),f317(f317(f8(f904(x43571,a893),f904(f904(x43571,a893),f904(x43571,a893)),x43571),f317(f7(f904(x43571,a893),f904(x43571,a893),f904(x43571,a893)),f23(f904(x43571,a893)))),f317(f317(f7(x43571,f904(x43571,a893),f904(x43571,a893)),f299(x43571)),f178(f904(x43571,a893)))))
% 92.26/92.08 [4444]E(f317(f252(f903(a1,a1)),f317(f247(a1,a1,a893),f317(f317(f8(f904(a1,a893),f904(a1,a893),a1),f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),x44441)))),f225(a1)))),f98(x44441))
% 92.26/92.08 [4477]E(f317(f252(f903(a1,a1)),f317(f247(a1,a1,a893),f317(f317(f18(a1,f904(a1,a893),f904(a1,a893)),f317(f317(f8(f904(a893,a893),f904(f904(a1,a893),f904(a1,a893)),a1),f8(a893,a893,a1)),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),x44771)))),f225(a1)))),f96(x44771))
% 92.26/92.08 [4530]E(f317(f252(f903(f904(x45301,a893),f904(x45301,a893))),f317(f247(f904(x45301,a893),f904(x45301,a893),a893),f317(f317(f7(f904(x45301,a893),f904(f904(x45301,a893),a893),f904(f904(x45301,a893),a893)),f317(f317(f8(f904(f904(x45301,a893),f904(a893,a893)),f904(f904(f904(x45301,a893),a893),f904(f904(x45301,a893),a893)),f904(x45301,a893)),f18(f904(x45301,a893),a893,a893)),f317(f317(f8(f904(f904(x45301,a893),a893),f904(f904(x45301,a893),f904(a893,a893)),f904(x45301,a893)),f317(f8(a893,f904(a893,a893),f904(x45301,a893)),a315)),f225(f904(x45301,a893))))),f29(x45301)))),f304(x45301))
% 92.26/92.08 [4617]~P1(f317(f29(f898(x46171)),f232(f904(f898(x46171),a893))))
% 92.26/92.08 [4629]~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46291)))))
% 92.26/92.08 [3599]E(f317(f317(f23(a1),f317(f317(f74(a1),x35991),a87)),a87),x35991)
% 92.26/92.08 [3613]E(f317(f162(a897),f129(a897,f317(f292(a897,f2(a897)),x36131))),f317(f272(a897),x36131))
% 92.26/92.08 [3808]E(f317(f274(x38081,x38081),f297(x38081,f178(f904(f903(x38081,x38081),a893)))),f232(f904(x38081,a893)))
% 92.26/92.08 [3809]E(f317(f254(x38091,x38091),f297(x38091,f178(f904(f903(x38091,x38091),a893)))),f232(f904(x38091,a893)))
% 92.26/92.08 [3855]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x38551)),x38551),f317(f317(f23(a1),f317(f317(f74(a1),x38551),x38551)),a87))
% 92.26/92.08 [3903]E(f317(f276(x39031,x39031),f297(x39031,f178(f904(f903(x39031,x39031),a893)))),f297(x39031,f178(f904(f903(x39031,x39031),a893))))
% 92.26/92.08 [3949]P1(f317(f317(f224(a897),x39491),f317(f317(f75(a897),x39491),f317(f317(f75(a897),x39491),x39491))))
% 92.26/92.08 [4038]E(f317(f317(f279(x40381,x40381,x40381),f178(f904(f903(x40381,x40381),a893))),f297(x40381,f178(f904(f903(x40381,x40381),a893)))),f178(f904(f903(x40381,x40381),a893)))
% 92.26/92.08 [4220]P1(f317(f29(a897),f317(f252(a897),f317(f317(f7(a897,a897,a893),f224(a897)),x42201))))
% 92.26/92.08 [4221]P1(f317(f29(a897),f317(f252(a897),f317(f317(f7(a897,a897,a893),f225(a897)),x42211))))
% 92.26/92.08 [4493]E(f317(f252(f903(x44931,x44931)),f317(f317(f8(f904(x44931,a893),a893,f903(x44931,x44931)),f81(x44931)),f317(f317(f7(f903(x44931,x44931),f904(x44931,f903(x44931,x44931)),f904(x44931,a893)),f317(f317(f8(f904(f903(x44931,x44931),a893),f904(f904(x44931,f903(x44931,x44931)),f904(x44931,a893)),f903(x44931,x44931)),f8(f903(x44931,x44931),a893,x44931)),a314)),f317(f317(f18(x44931,x44931,f903(x44931,x44931)),f242(x44931,x44931)),f5(x44931))))),f297(x44931,f178(f904(f903(x44931,x44931),a893))))
% 92.26/92.08 [4618]~E(f317(f317(f23(a1),f317(f317(f74(a1),x46181),x46181)),a87),a77)
% 92.26/92.08 [4619]~E(f317(f317(f23(a1),f317(f317(f74(a1),x46191),x46191)),a87),a77)
% 92.26/92.08 [4621]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46211)),x46211),f2(a1))
% 92.26/92.08 [3994]E(f317(f317(f74(a1),f317(f317(f23(a1),a87),x39941)),f317(f317(f23(a1),a87),x39941)),f317(f317(f23(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x39941),x39941)),a87)))
% 92.26/92.08 [4111]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41111)),f317(f317(f23(a1),a87),x41111))),a87),f317(f317(f23(a1),a87),f317(f317(f74(a1),x41111),x41111)))
% 92.26/92.08 [4143]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x41431),a87)),f317(f317(f74(a1),x41431),a87))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x41431),x41431)),a87))
% 92.26/92.08 [4181]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41811)),f317(f317(f23(a1),a87),x41811))),a87),f317(f317(f23(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x41811),x41811)),a87)))
% 92.26/92.08 [4278]E(f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x42781),f2(a897))),f178(f904(f903(a897,a897),a893))))),f317(f90(a1),x42781))
% 92.26/92.08 [4288]E(f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),f322(x42881)),f400(x42881))),f178(f904(f903(a897,a897),a893))))),x42881)
% 92.26/92.08 [4321]E(f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x43211)),f317(f300(a897,a1,f90(a1)),f317(f252(a897),f317(f317(f8(a1,a893,a897),x43211),f90(a1)))))
% 92.26/92.08 [4365]P39(f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x43651)))
% 92.26/92.08 [4385]P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x43851),f178(f904(f903(a897,a897),a893)))),a66))
% 92.26/92.08 [4390]E(f317(f300(a1,a897,a95),f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f8(a897,a893,a1),x43901),a95)))),f317(f252(a897),x43901))
% 92.26/92.08 [4545]E(f302(a897,f317(f317(f35(f903(a897,a897),f904(a897,a893)),f317(a97,x45451)),f317(f247(a897,a897,f904(a897,a893)),f317(f317(f7(a897,f904(a897,a893),f904(a897,f904(a897,a893))),f317(f317(f8(f904(a897,f904(f904(a897,a893),f904(a897,a893))),f904(f904(a897,a893),f904(a897,f904(a897,a893))),a897),f7(a897,f904(a897,a893),f904(a897,a893))),f317(f317(f8(f904(a897,a897),f904(a897,f904(f904(a897,a893),f904(a897,a893))),a897),f317(f8(a897,f904(f904(a897,a893),f904(a897,a893)),a897),f299(a897))),f23(a897)))),f178(f904(a897,a893)))))),f317(a95,x45451))
% 92.26/92.08 [4039]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40391),x40391)),a87)),a87),f317(f317(f74(a1),x40391),x40391))
% 92.26/92.08 [4091]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40911),x40911)),a87)),a87),f317(f317(f74(a1),f317(f317(f23(a1),x40911),a87)),f317(f317(f23(a1),x40911),a87)))
% 92.26/92.08 [4294]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f73(a1),x42941)),a87)),f317(f317(f74(a1),f317(f73(a1),x42941)),a87))),a87),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42941),x42941)),a87)))
% 92.26/92.08 [4338]E(f317(f317(f74(a897),x43381),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,x43381)))
% 92.26/92.08 [4339]E(f317(f317(f75(a897),x43391),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(a897),x43391),x43391))
% 92.26/92.08 [4340]E(f317(f317(f31(a897),f317(f317(f74(a897),x43401),x43401)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x43401)
% 92.26/92.08 [4418]E(f41(a897,f317(a102,f317(a102,x44181)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a897,x44181,f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.26/92.08 [4559]E(f317(a83,f317(f317(f35(f903(a897,a897),f904(f903(a897,a897),a893)),f317(a97,x45591)),f317(f247(a897,a897,f904(f903(a897,a897),a893)),f317(f317(f8(f904(a897,f904(f903(a897,a897),a893)),f904(a897,f904(f903(a897,a897),a893)),a897),f317(f8(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893),a897),f275(f903(a897,a897),f903(a897,a897),a99))),f317(f317(f7(a897,f904(f903(a897,a897),a893),f904(a897,f904(f903(a897,a897),a893))),f317(f317(f8(f904(a897,f904(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f904(f904(f903(a897,a897),a893),f904(a897,f904(f903(a897,a897),a893))),a897),f7(a897,f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f8(f904(a897,f903(a897,a897)),f904(a897,f904(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),a897),f317(f8(f903(a897,a897),f904(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),a897),f299(f903(a897,a897)))),f317(f7(a897,a897,f903(a897,a897)),f242(a897,a897))))),f178(f904(f903(a897,a897),a893))))))),f317(f73(a1),x45591))
% 92.26/92.08 [4413]E(f317(f317(f74(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44131),f317(a102,f317(a102,x44131)))
% 92.26/92.08 [4414]E(f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44141),f317(f317(f74(a897),x44141),x44141))
% 92.26/92.08 [4450]E(f317(f317(f31(a897),f317(a102,f317(a102,x44501))),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(f317(f31(a897),x44501),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.26/92.08 [4500]E(f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45001),f317(a102,f317(a102,f317(a102,x45001))))
% 92.26/92.08 [4566]E(f317(f247(a1,a1,f903(a1,a1)),f317(f317(f18(a1,f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f904(f903(a1,a1),f903(a1,a1))),f904(f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),a1),f18(a1,f903(a1,a1),f903(a1,a1))),f317(f317(f8(f904(a1,f903(a1,a1)),f904(a1,f904(f903(a1,a1),f903(a1,a1))),a1),f317(f18(a1,f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),f317(f317(f8(a893,f904(f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),a1),f86(f903(a1,a1))),f317(f317(f8(a1,a893,a1),f317(f224(a1),f2(a1))),f317(f317(f7(a1,a1,a1),f23(a1)),x45661))))),f317(f317(f7(a1,f904(a1,a1),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f903(a1,a1)),f904(f904(a1,a1),f904(a1,f903(a1,a1))),a1),f8(a1,f903(a1,a1),a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f904(a1,a1),a1),f74(a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f72(a1))))),f317(f317(f7(a1,a1,a1),f23(a1)),x45661))))),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f39(x45661))
% 92.26/92.08 [3277]P106(f902(x32771,x32772))
% 92.26/92.08 [3278]P106(f901(x32781,x32782))
% 92.26/92.08 [3279]P106(f903(x32791,x32792))
% 92.26/92.08 [3297]P13(a1,f168(x32971,x32972))
% 92.26/92.08 [3298]P36(x32981,f143(x32981,x32982))
% 92.26/92.08 [3299]P37(x32991,f253(x32991,x32992))
% 92.26/92.08 [3300]P37(x33001,f297(x33001,x33002))
% 92.26/92.08 [3301]P38(x33011,f253(x33011,x33012))
% 92.26/92.08 [3302]P51(x33021,f253(x33021,x33022))
% 92.26/92.08 [3365]P30(x33651,x33652,f103(x33651))
% 92.26/92.08 [3398]P52(x33981,x33982,f253(x33981,x33982))
% 92.26/92.08 [3399]P54(x33991,x33991,f253(x33991,x33992))
% 92.26/92.08 [3662]P24(x36621,x36621,f5(x36621),x36622)
% 92.26/92.08 [3663]P24(x36631,x36631,f25(x36631),x36632)
% 92.26/92.08 [3670]P31(x36701,x36702,f103(x36701),f103(x36701))
% 92.26/92.08 [3671]P31(x36711,x36712,f103(x36711),f103(x36711))
% 92.26/92.08 [3678]P24(f898(x36781),f898(x36781),f158(x36781),x36782)
% 92.26/92.08 [4081]P25(x40811,x40811,f25(x40811),x40812,x40812)
% 92.26/92.08 [4591]~P32(x45911,x45912,f103(x45911))
% 92.26/92.08 [4592]~P34(x45921,x45922,f103(x45921))
% 92.26/92.08 [3263]E(f317(f5(x32631),x32632),x32632)
% 92.26/92.08 [3264]E(f317(f252(x32641),x32642),x32642)
% 92.26/92.08 [3265]E(f317(f25(x32651),x32652),x32652)
% 92.26/92.08 [3266]E(f317(f25(x32661),x32662),x32662)
% 92.26/92.08 [3276]E(f317(f181(x32761),x32762),f105(x32761))
% 92.26/92.08 [3295]E(f79(x32951,f317(a314,x32952)),x32952)
% 92.26/92.08 [3296]E(f84(x32961,f317(a314,x32962)),x32962)
% 92.26/92.08 [3318]E(f317(f115(x33181,x33182),f109(x33181)),f2(a897))
% 92.26/92.08 [3321]E(f317(f126(x33211,x33212),f103(x33211)),f103(x33211))
% 92.26/92.08 [3341]E(f297(x33411,f297(x33411,x33412)),f297(x33411,x33412))
% 92.26/92.08 [3342]E(f142(x33421,f142(x33421,x33422)),f142(x33421,x33422))
% 92.26/92.08 [3360]E(f317(f317(f124(x33601),x33602),f103(x33601)),x33602)
% 92.26/92.08 [3366]E(f163(x33661,x33662,f103(x33661)),x33662)
% 92.26/92.08 [3367]E(f163(x33671,f103(x33671),x33672),x33672)
% 92.26/92.08 [3368]E(f106(x33681,f109(x33681),x33682),x33682)
% 92.26/92.08 [3369]E(f159(x33691,f2(a897),x33692),f103(x33691))
% 92.26/92.08 [3375]E(f317(f317(f165(x33751),x33752),f103(x33751)),f103(x33751))
% 92.26/92.08 [3376]E(f317(f317(f128(x33761),x33762),f103(x33761)),f103(x33761))
% 92.26/92.08 [3378]E(f145(x33781,x33782,f103(x33781)),f2(a897))
% 92.26/92.08 [3380]E(f160(x33801,x33802,f103(x33801)),f103(x33801))
% 92.26/92.08 [3381]E(f167(x33811,x33812,f103(x33811)),f103(x33811))
% 92.26/92.08 [3382]E(f166(x33821,f103(x33821),x33822),f103(x33821))
% 92.26/92.08 [3386]E(f317(f162(x33861),f142(x33861,x33862)),f317(f162(x33861),x33862))
% 92.26/92.08 [3389]E(f317(f274(x33891,x33891),f253(x33891,x33892)),x33892)
% 92.26/92.08 [3390]E(f317(f254(x33901,x33901),f253(x33901,x33902)),x33902)
% 92.26/92.08 [3397]E(f317(f276(x33971,x33971),f253(x33971,x33972)),f253(x33971,x33972))
% 92.26/92.08 [3411]E(f297(f898(x34111),f147(x34111,x34112)),f148(x34111,f297(x34111,x34112)))
% 92.26/92.08 [3413]P1(f317(f127(a1),f168(x34131,x34132)))
% 92.26/92.08 [3421]E(f317(f274(x34211,x34211),f297(x34211,x34212)),f232(f904(x34211,a893)))
% 92.26/92.08 [3422]E(f317(f254(x34221,x34221),f297(x34221,x34222)),f232(f904(x34221,a893)))
% 92.26/92.08 [3426]P1(f317(f127(x34261),f142(x34261,x34262)))
% 92.26/92.08 [3427]P1(f317(f150(x34271,x34272),f103(x34271)))
% 92.26/92.08 [3428]P1(f317(f150(x34281,x34282),f103(x34281)))
% 92.26/92.08 [3433]E(f317(f162(a1),f168(x34331,x34332)),f293(a1,x34331,x34332))
% 92.26/92.08 [3434]E(f317(f162(a1),f168(x34341,x34342)),f293(a1,x34341,x34342))
% 92.26/92.08 [3448]P55(x34481,f178(f904(x34481,a893)),x34482)
% 92.26/92.08 [3453]E(f317(f246(a1,a1),f42(x34531,x34532)),f41(a1,x34531,x34532))
% 92.26/92.08 [3454]E(f317(f292(a897,x34541),f317(a102,x34542)),f293(a897,x34541,x34542))
% 92.26/92.08 [3469]E(f317(f317(f141(x34691),x34692),f103(x34691)),f130(x34691,x34692,f103(x34691)))
% 92.26/92.08 [3481]E(f293(a897,f317(a102,x34811),x34812),f295(a897,x34811,x34812))
% 92.26/92.08 [3482]P52(x34821,f232(f904(x34821,a893)),f297(x34821,x34822))
% 92.26/92.08 [3545]E(f317(f317(f23(a897),x35451),f317(a102,x35452)),f317(f30(a897),f296(a897,x35452,x35451)))
% 92.26/92.08 [3600]E(f156(x36001,x36002,f103(x36001)),f317(f317(f242(f898(x36001),f898(x36001)),f103(x36001)),f103(x36001)))
% 92.26/92.08 [3618]E(f317(f247(x36181,x36182,f903(x36181,x36182)),f242(x36181,x36182)),f25(f903(x36181,x36182)))
% 92.26/92.08 [3622]P1(f317(f317(f319(f898(x36221)),f103(x36221)),f151(x36221,x36222)))
% 92.26/92.08 [3623]E(f317(f179(f898(x36231)),f104(x36231,x36232)),f317(f317(f23(a897),f317(f179(f898(x36231)),x36232)),f72(a897)))
% 92.26/92.08 [3631]P1(f317(f29(a897),f296(a897,x36311,x36312)))
% 92.26/92.08 [3632]P1(f317(f29(a897),f295(a897,x36321,x36322)))
% 92.26/92.08 [3633]P1(f317(f29(a897),f293(a897,x36331,x36332)))
% 92.26/92.08 [3634]P1(f317(f29(a1),f296(a1,x36341,x36342)))
% 92.26/92.08 [3635]P1(f317(f29(a1),f295(a1,x36351,x36352)))
% 92.26/92.08 [3636]P1(f317(f29(a1),f293(a1,x36361,x36362)))
% 92.26/92.08 [3739]E(f317(f300(a897,a897,a102),f293(a897,x37391,x37392)),f293(a897,f317(a102,x37391),f317(a102,x37392)))
% 92.26/92.08 [3759]E(f317(f317(f279(x37591,x37591,x37591),f297(x37591,x37592)),f297(x37591,x37592)),f297(x37591,x37592))
% 92.26/92.08 [3793]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x37931),x37932)),f41(a1,x37931,x37932)),f42(x37931,x37932))
% 92.26/92.08 [3794]E(f317(f317(f242(a89,a89),f317(f317(f31(a89),x37941),x37942)),f41(a89,x37941,x37942)),f21(x37941,x37942))
% 92.26/92.08 [3821]E(f317(f317(f242(a897,a897),f317(f317(f31(a897),x38211),x38212)),f41(a897,x38211,x38212)),f79(f903(a897,a897),f44(x38211,x38212)))
% 92.26/92.08 [3872]P1(f317(f317(f225(a897),f317(f317(f23(a897),x38721),x38722)),f317(a102,x38721)))
% 92.26/92.08 [3920]P37(x39201,f317(f317(f279(x39201,x39201,x39201),x39202),f297(x39201,x39202)))
% 92.26/92.08 [3960]E(f317(f317(f128(x39601),f317(f179(f898(x39601)),f167(x39601,x39602,f103(x39601)))),f103(x39601)),f103(x39601))
% 92.26/92.08 [3970]E(f317(f317(f74(a1),f317(f317(f75(a1),x39701),f317(f317(f31(a1),x39702),x39701))),f41(a1,x39702,x39701)),x39702)
% 92.26/92.08 [3975]E(f317(f317(f35(a897,f904(f903(f898(x39751),f898(x39751)),a893)),f232(f904(a897,a893))),f133(x39751,x39752)),f135(x39751,x39752))
% 92.26/92.08 [4055]E(f317(f126(x40551,f317(f317(f8(a893,a893,x40551),a312),f317(a314,x40552))),f103(x40551)),f103(x40551))
% 92.26/92.08 [4197]P1(f317(f317(f319(f903(f898(x41971),f898(x41971))),f317(f317(f242(f898(x41971),f898(x41971)),f103(x41971)),f103(x41971))),f148(x41971,x41972)))
% 92.26/92.08 [4306]E(f243(x43061,x43061,x43061,a314,f243(x43061,x43061,x43061,x43062,a314)),x43062)
% 92.26/92.08 [4349]E(f248(x43491,x43491,x43492,x43492,f25(x43491),f25(x43492)),f25(f903(x43491,x43492)))
% 92.26/92.08 [4350]E(f248(x43501,x43501,x43502,x43502,f5(x43501),f5(x43502)),f25(f903(x43501,x43502)))
% 92.26/92.08 [4351]E(f248(x43511,x43511,x43512,x43512,f25(x43511),f25(x43512)),f25(f903(x43511,x43512)))
% 92.26/92.08 [4352]E(f248(x43521,x43521,x43522,x43522,f25(x43521),f25(x43522)),f25(f903(x43521,x43522)))
% 92.26/92.08 [3359]E(f317(f158(x33591),f317(f158(x33591),x33592)),x33592)
% 92.26/92.08 [3361]E(f317(f317(f128(x33611),f2(a897)),x33612),x33612)
% 92.26/92.08 [3377]E(f317(f317(f165(x33771),f2(a897)),x33772),f103(x33771))
% 92.26/92.08 [3384]E(f317(f317(f124(x33841),f103(x33841)),x33842),x33842)
% 92.26/92.08 [3393]E(f32(f904(x33931,a893),f317(f298(x33931),x33932)),x33932)
% 92.26/92.08 [3395]E(f317(f162(x33951),f317(f157(x33951),x33952)),f317(f162(x33951),x33952))
% 92.26/92.08 [3396]E(f317(f162(x33961),f317(f158(x33961),x33962)),f317(f162(x33961),x33962))
% 92.26/92.08 [3401]E(f317(f317(f23(a89),x34011),x34012),f317(f317(a24,x34011),x34012))
% 92.26/92.08 [3415]E(f317(f317(f74(a897),x34151),x34152),f317(f317(f74(a897),x34152),x34151))
% 92.26/92.08 [3416]E(f317(f317(f74(a1),x34161),x34162),f317(f317(f74(a1),x34162),x34161))
% 92.26/92.08 [3417]E(f317(f317(f75(a897),x34171),x34172),f317(f317(f75(a897),x34172),x34171))
% 92.26/92.08 [3418]E(f317(f317(f75(a1),x34181),x34182),f317(f317(f75(a1),x34182),x34181))
% 92.26/92.08 [3440]E(f317(f317(f173(x34401,x34401),f2(a897)),x34402),f25(x34401))
% 92.26/92.08 [3441]E(f317(f179(f898(x34411)),f317(f157(x34411),x34412)),f317(f179(f898(x34411)),x34412))
% 92.26/92.08 [3442]E(f317(f179(f898(x34421)),f317(f158(x34421),x34422)),f317(f179(f898(x34421)),x34422))
% 92.26/92.08 [3443]E(f166(x34431,x34432,f178(f904(a897,a893))),f103(x34431))
% 92.26/92.08 [3444]E(f317(f317(f144(x34441,x34441),f5(x34441)),x34442),x34442)
% 92.26/92.08 [3446]E(f317(f241(a1,a1),f42(x34461,x34462)),f317(f317(f31(a1),x34461),x34462))
% 92.26/92.08 [3463]E(f317(f179(f898(x34631)),f142(x34631,x34632)),f317(f30(x34631),f317(f162(x34631),x34632)))
% 92.26/92.08 [3464]E(f317(f271(x34641),f317(f276(x34641,x34641),x34642)),f317(f271(x34641),x34642))
% 92.26/92.08 [3468]P1(f317(f29(x34681),f317(f162(x34681),x34682)))
% 92.26/92.08 [3475]E(f317(f317(f74(a1),x34751),f317(f73(a1),x34752)),f317(f317(f23(a1),x34751),x34752))
% 92.26/92.08 [3476]E(f317(f317(f74(a1),x34761),f317(f73(a1),x34762)),f317(f317(f23(a1),x34761),x34762))
% 92.26/92.08 [3483]E(f317(f300(x34831,x34831,f5(x34831)),x34832),x34832)
% 92.26/92.08 [3484]E(f317(f300(x34841,x34841,f25(x34841)),x34842),x34842)
% 92.26/92.08 [3485]E(f317(f301(x34851,x34851,f5(x34851)),x34852),x34852)
% 92.26/92.08 [3486]E(f317(f301(x34861,x34861,f25(x34861)),x34862),x34862)
% 92.26/92.08 [3487]P1(f317(f232(f904(x34871,a893)),x34872))
% 92.26/92.08 [3489]E(f317(f30(a897),f317(f292(a897,x34891),x34892)),f317(f317(f23(a897),x34892),x34891))
% 92.26/92.08 [3490]E(f317(f292(a897,f317(a102,x34901)),x34902),f296(a897,x34901,x34902))
% 92.26/92.08 [3503]E(f317(f317(f299(x35031),x35032),f178(f904(x35031,a893))),f317(f252(x35031),f317(a314,x35032)))
% 92.26/92.08 [3508]E(f297(x35081,f317(f276(x35081,x35081),x35082)),f317(f276(x35081,x35081),f297(x35081,x35082)))
% 92.26/92.08 [3513]E(f317(f317(f74(a897),f317(a102,x35131)),x35132),f317(f317(f74(a897),x35131),f317(a102,x35132)))
% 92.26/92.08 [3514]E(f317(f317(f23(a897),f317(a102,x35141)),f317(a102,x35142)),f317(f317(f23(a897),x35141),x35142))
% 92.26/92.08 [3520]E(f51(x35201,f2(a897),x35202),f317(f317(f141(f898(x35201)),f103(x35201)),f103(f898(x35201))))
% 92.26/92.08 [3521]E(f317(f30(a897),f295(a897,x35211,x35212)),f317(f317(f23(a897),x35212),x35211))
% 92.26/92.08 [3531]P36(x35311,f317(f317(f278(a897,x35311),a230),x35312))
% 92.26/92.08 [3533]P13(a897,f129(a897,f317(f292(a897,x35331),x35332)))
% 92.26/92.08 [3535]P1(f317(f29(a897),f317(f292(a897,x35351),x35352)))
% 92.26/92.08 [3536]P1(f317(f29(a1),f317(f292(a1,x35361),x35362)))
% 92.26/92.08 [3539]E(f317(f276(f898(x35391),f898(x35391)),f147(x35391,x35392)),f147(x35391,f317(f276(x35391,x35391),x35392)))
% 92.26/92.08 [3541]E(f317(f292(a1,x35411),f317(f317(f74(a1),x35412),f72(a1))),f293(a1,x35411,x35412))
% 92.26/92.08 [3544]E(f317(f317(f31(a1),f317(f73(a1),x35441)),f317(f73(a1),x35442)),f317(f317(f31(a1),x35441),x35442))
% 92.26/92.08 [3552]E(f317(f317(f173(f903(x35521,x35521),a893),f72(a897)),x35522),x35522)
% 92.26/92.08 [3554]E(f317(f317(f23(f904(x35541,a893)),x35542),f178(f904(x35541,a893))),x35542)
% 92.26/92.08 [3555]E(f317(f317(f91(f904(x35551,a893)),x35552),f178(f904(x35551,a893))),x35552)
% 92.26/92.08 [3556]E(f317(f317(f92(f904(x35561,a893)),x35562),f232(f904(x35561,a893))),x35562)
% 92.26/92.08 [3557]E(f317(f241(a897,a897),f79(f903(a897,a897),f44(x35571,x35572))),f317(f317(f31(a897),x35571),x35572))
% 92.26/92.08 [3563]E(f293(a1,f317(f317(f74(a1),x35631),f72(a1)),x35632),f295(a1,x35631,x35632))
% 92.26/92.08 [3568]E(f317(f246(a897,a897),f79(f903(a897,a897),f44(x35681,x35682))),f41(a897,x35681,x35682))
% 92.26/92.08 [3577]P1(f317(f317(f319(x35771),x35772),f232(f904(x35771,a893))))
% 92.26/92.08 [3578]P1(f317(f317(f319(x35781),x35782),f232(f904(x35781,a893))))
% 92.26/92.08 [3583]E(f317(f317(f23(a897),f317(a102,x35831)),x35832),f317(f30(a897),f293(a897,x35832,x35831)))
% 92.26/92.08 [3609]E(f317(f317(f23(f904(x36091,a893)),x36092),f232(f904(x36091,a893))),f178(f904(x36091,a893)))
% 92.26/92.08 [3610]E(f317(f317(f91(f904(x36101,a893)),x36102),f232(f904(x36101,a893))),f232(f904(x36101,a893)))
% 92.26/92.08 [3611]E(f317(f317(f92(f904(x36111,a893)),x36112),f178(f904(x36111,a893))),f178(f904(x36111,a893)))
% 92.26/92.08 [3625]E(f41(a1,f317(f90(a1),x36251),f317(f90(a1),x36252)),f317(f90(a1),f41(a897,x36251,x36252)))
% 92.26/92.08 [3626]E(f41(a1,f317(f90(a1),x36261),f317(f90(a1),x36262)),f317(f90(a1),f41(a897,x36261,x36262)))
% 92.26/92.08 [3627]E(f41(a1,f317(f73(a1),x36271),f317(f73(a1),x36272)),f317(f73(a1),f41(a1,x36271,x36272)))
% 92.26/92.08 [3638]E(f317(f179(f898(x36381)),f317(f161(x36381),x36382)),f317(f317(f23(a897),f317(f179(f898(x36381)),x36382)),f72(a897)))
% 92.26/92.08 [3664]E(f317(f317(f31(a1),f41(a1,x36641,x36642)),x36642),f2(a1))
% 92.26/92.08 [3673]E(f317(a3,f41(a897,f317(a20,x36731),f317(a20,x36732))),f41(a89,x36731,x36732))
% 92.26/92.08 [3706]E(f317(a3,f317(f317(f23(a897),f317(a20,x37061)),f317(a20,x37062))),f317(f317(f23(a89),x37061),x37062))
% 92.26/92.08 [3707]E(f317(a3,f317(f317(f74(a897),f317(a20,x37071)),f317(a20,x37072))),f317(f317(f74(a89),x37071),x37072))
% 92.26/92.08 [3708]E(f317(a3,f317(f317(f75(a897),f317(a20,x37081)),f317(a20,x37082))),f317(f317(f75(a89),x37081),x37082))
% 92.26/92.08 [3709]E(f317(a3,f317(f317(f31(a897),f317(a20,x37091)),f317(a20,x37092))),f317(f317(f31(a89),x37091),x37092))
% 92.26/92.08 [3717]E(f317(f300(a897,a897,a102),f317(f292(a897,x37171),x37172)),f317(f292(a897,f317(a102,x37171)),f317(a102,x37172)))
% 92.26/92.08 [3744]P1(f317(f44(x37441,x37442),f79(f903(a897,a897),f44(x37441,x37442))))
% 92.26/92.08 [3768]E(f41(a897,f317(a102,f41(a897,x37681,x37682)),x37682),f41(a897,f317(a102,x37681),x37682))
% 92.26/92.08 [3780]E(f317(f317(f36(f904(x37801,a893),f904(x37801,a893)),x37802),f5(f904(x37801,a893))),f33(f904(x37801,a893),x37802))
% 92.26/92.08 [3781]E(f317(f317(f35(f904(x37811,a893),f904(x37811,a893)),x37812),f5(f904(x37811,a893))),f32(f904(x37811,a893),x37812))
% 92.26/92.08 [3782]E(f317(f300(f898(x37821),f904(x37821,a893),f162(x37821)),f317(f162(f898(x37821)),f50(x37821,x37822))),f317(f298(x37821),f317(f162(x37821),x37822)))
% 92.26/92.08 [3786]P1(f317(f317(f319(f904(x37861,a893)),x37862),f317(f298(x37861),x37862)))
% 92.26/92.08 [3792]E(f41(a1,f317(f73(a1),f41(a1,x37921,x37922)),x37922),f41(a1,f317(f73(a1),x37921),x37922))
% 92.26/92.08 [3803]P1(f317(f317(f224(f904(x38031,a893)),x38032),f232(f904(x38031,a893))))
% 92.26/92.08 [3805]E(f317(f317(f279(x38051,x38051,x38051),f297(x38051,x38052)),f297(x38051,f297(x38051,x38052))),f297(x38051,x38052))
% 92.26/92.08 [3806]E(f317(f317(f91(f904(x38061,a893)),f317(f254(x38061,x38061),x38062)),f317(f274(x38061,x38061),x38062)),f317(f271(x38061),x38062))
% 92.26/92.08 [3827]E(f303(x38271,x38272,f232(f904(x38271,a893)),f232(f904(x38272,a893))),f232(f904(f902(x38271,x38272),a893)))
% 92.26/92.08 [3877]P1(f317(f317(f224(a897),f41(a897,x38771,x38772)),x38771))
% 92.26/92.08 [3901]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x39011))),f317(f90(a1),x39012)))
% 92.26/92.08 [3925]P1(f317(f317(f319(f904(x39251,a893)),f178(f904(x39251,a893))),f317(f298(x39251),x39252)))
% 92.26/92.08 [3930]E(f297(x39301,f317(f317(f279(x39301,x39301,x39301),x39302),f297(x39301,x39302))),f297(x39301,x39302))
% 92.26/92.08 [3932]E(f317(f317(f279(x39321,x39321,x39321),f297(x39321,x39322)),x39322),f317(f317(f279(x39321,x39321,x39321),x39322),f297(x39321,x39322)))
% 92.26/92.08 [3933]E(f317(f317(f279(x39331,x39331,x39331),f297(x39331,x39332)),x39332),f317(f317(f279(x39331,x39331,x39331),x39332),f297(x39331,x39332)))
% 92.26/92.08 [3935]E(f317(a95,f317(f317(f74(a1),f317(f317(f23(a1),x39351),x39352)),f72(a1))),f317(f30(a1),f293(a1,x39352,x39351)))
% 92.26/92.08 [3950]E(f317(f274(x39501,x39501),f317(f317(f279(x39501,x39501,x39501),x39502),f297(x39501,x39502))),f317(f274(x39501,x39501),x39502))
% 92.26/92.08 [3951]E(f317(f254(x39511,x39511),f317(f317(f279(x39511,x39511,x39511),x39512),f297(x39511,x39512))),f317(f254(x39511,x39511),x39512))
% 92.26/92.08 [3969]E(f317(f132(f898(x39691),f898(x39691),f124(x39691),f103(x39691)),f159(f898(x39691),x39692,f103(x39691))),f103(x39691))
% 92.26/92.08 [3979]P24(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x39791),x39792)
% 92.26/92.08 [3981]P13(a897,f317(f158(a897),f317(f317(f144(f898(x39811),a897),f179(f898(x39811))),f169(x39811,x39812))))
% 92.26/92.08 [4011]P51(x40111,f317(f317(f91(f904(f903(x40111,x40111),a893)),x40112),f317(f276(x40111,x40111),x40112)))
% 92.26/92.08 [4012]P51(x40121,f317(f317(f92(f904(f903(x40121,x40121),a893)),x40122),f317(f276(x40121,x40121),x40122)))
% 92.26/92.08 [4023]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40231)))),f317(f90(a1),x40232)))
% 92.26/92.08 [4070]E(f317(f132(f898(x40701),x40701,f317(f7(x40701,f898(x40701),f898(x40701)),f141(x40701)),f103(x40701)),x40702),f317(f158(x40701),x40702))
% 92.26/92.08 [4118]P1(f317(f317(f224(f904(f903(f898(x41181),f898(x41181)),a893)),f148(x41181,x41182)),f297(f898(x41181),f147(x41181,x41182))))
% 92.26/92.08 [4147]P1(f317(f44(x41471,x41472),f317(f317(f242(a897,a897),f317(f317(f31(a897),x41471),x41472)),f41(a897,x41471,x41472))))
% 92.26/92.08 [4159]P1(f317(f317(f224(f904(f903(f898(x41591),f898(x41591)),a893)),f147(x41591,f297(x41591,x41592))),f297(f898(x41591),f147(x41591,x41592))))
% 92.26/92.08 [4375]E(f317(f317(f249(f903(a89,a89),a89,f903(a89,a89),f903(x43751,f903(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f903(a89,x43751),a89),f241(a89,x43751)),x43752)))),f317(f317(f8(x43751,f904(f903(a89,a89),f903(x43751,f903(a89,a89))),a89),f242(x43751,f903(a89,a89))),f258(x43751,x43752))),f256(x43751,x43752))
% 92.26/92.08 [4452]E(f213(a897,f903(x44521,f899(x44521)),f2(a897),f317(f247(x44521,f899(x44521),a897),f317(f16(f904(f899(x44521),a897),x44521),f317(f317(f7(f899(x44521),a897,a897),f317(f317(f8(a897,f904(a897,a897),f899(x44521)),f74(a897)),f179(f899(x44521)))),f72(a897)))),f317(f125(x44521),x44522)),f317(f179(f899(x44521)),x44522))
% 92.26/92.08 [4526]E(f41(a897,f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45261),f317(f94(a897),x45262)),f41(a897,f317(a102,f317(a102,f317(a102,x45261))),f317(f94(a897),x45262)))
% 92.26/92.08 [4539]E(f317(f317(f31(a897),f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45391)),f317(f94(a897),x45392)),f317(f317(f31(a897),f317(a102,f317(a102,f317(a102,x45391)))),f317(f94(a897),x45392)))
% 92.26/92.08 [4558]E(f317(f247(f904(f903(x45581,x45581),a893),f904(f903(x45581,x45581),a893),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f317(f317(f7(f904(f903(x45581,x45581),a893),f904(f904(f903(x45581,x45581),a893),f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893))),f904(f904(f903(x45581,x45581),a893),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893))))),f317(f317(f8(f904(f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893)),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f904(f904(f904(f903(x45581,x45581),a893),f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893))),f904(f904(f903(x45581,x45581),a893),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893))))),f904(f903(x45581,x45581),a893)),f8(f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893)),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893))),f904(f903(x45581,x45581),a893))),f317(f317(f8(f904(f904(x45582,x45581),f904(f904(f903(x45582,x45582),a893),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f904(f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893)),f904(f904(x45582,x45581),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f904(f903(x45581,x45581),a893)),f18(f904(x45582,x45581),f904(f903(x45582,x45582),a893),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f317(f317(f8(f904(f904(x45582,x45581),f904(f903(x45582,x45582),a893)),f904(f904(x45582,x45581),f904(f904(f903(x45582,x45582),a893),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f904(f903(x45581,x45581),a893)),f317(f8(f904(f903(x45582,x45582),a893),f904(f904(f903(x45582,x45582),a893),f903(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893))),f904(x45582,x45581)),f242(f904(f903(x45582,x45582),a893),f904(f903(x45582,x45582),a893)))),f278(x45581,x45582))))),f278(x45581,x45582))),f68(x45581,x45582))
% 92.26/92.08 [4603]~E(f317(f298(x46031),x46032),f178(f904(f904(x46031,a893),a893)))
% 92.26/92.08 [4612]~P1(f317(f317(f162(x46121),f103(x46121)),x46122))
% 92.26/92.08 [4615]~P1(f317(f317(f319(x46151),x46152),f178(f904(x46151,a893))))
% 92.26/92.08 [4616]~P1(f317(f317(f319(x46161),x46162),f178(f904(x46161,a893))))
% 92.26/92.08 [4624]~P1(f317(f317(f225(f904(x46241,a893)),x46242),f178(f904(x46241,a893))))
% 92.26/92.08 [3492]E(f317(f317(f23(a897),x34921),f317(f317(f74(a897),x34921),x34922)),f2(a897))
% 92.26/92.08 [3495]E(f317(f317(f91(f904(x34951,a893)),x34952),x34952),x34952)
% 92.26/92.08 [3496]E(f317(f317(f92(f904(x34961,a893)),x34962),x34962),x34962)
% 92.26/92.08 [3524]E(f317(f317(f23(f904(x35241,a893)),x35242),x35242),f178(f904(x35241,a893)))
% 92.26/92.08 [3528]E(f317(f133(x35281,x35282),f2(a897)),f178(f904(f903(f898(x35281),f898(x35281)),a893)))
% 92.26/92.08 [3529]E(f317(f317(f74(a897),x35291),f317(a102,x35292)),f317(a102,f317(f317(f74(a897),x35291),x35292)))
% 92.26/92.08 [3540]E(f184(f317(f90(a1),x35401),f317(f90(a1),x35402)),f317(f90(a1),f317(f317(f23(a897),x35401),x35402)))
% 92.26/92.08 [3543]E(f317(f317(f31(a1),f317(f73(a1),x35431)),x35432),f317(f317(f31(a1),x35431),f317(f73(a1),x35432)))
% 92.26/92.08 [3547]E(f317(f30(a1),f317(f292(a1,x35471),x35472)),f317(a95,f317(f317(f23(a1),x35472),x35471)))
% 92.26/92.08 [3550]E(f317(f317(f74(a897),f317(a102,x35501)),x35502),f317(a102,f317(f317(f74(a897),x35501),x35502)))
% 92.26/92.08 [3553]E(f317(f73(f904(x35531,a893)),f317(f73(f904(x35531,a893)),x35532)),x35532)
% 92.26/92.08 [3565]E(f169(x35651,f317(f317(f141(f898(x35651)),f103(x35651)),x35652)),f169(x35651,x35652))
% 92.26/92.08 [3569]E(f317(f317(f74(a897),x35691),f317(f317(f75(a897),x35691),x35692)),f317(f317(f75(a897),x35691),f317(a102,x35692)))
% 92.26/92.08 [3576]E(f317(f317(a24,f317(a3,x35761)),f317(a3,x35762)),f317(a3,f317(f317(f23(a897),x35761),x35762)))
% 92.26/92.08 [3590]E(f317(f317(f234(a1),f317(f90(a1),x35901)),x35902),f317(f90(a1),f317(f317(f234(a897),x35901),x35902)))
% 92.26/92.08 [3591]E(f317(f317(f75(a1),f317(f73(a1),x35911)),x35912),f317(f73(a1),f317(f317(f75(a1),x35911),x35912)))
% 92.26/92.08 [3592]E(f317(f317(f234(a1),f317(f90(a1),x35921)),x35922),f317(f90(a1),f317(f317(f234(a897),x35921),x35922)))
% 92.26/92.08 [3593]E(f317(f317(f234(a1),f317(f90(a1),x35931)),x35932),f317(f90(a1),f317(f317(f234(a897),x35931),x35932)))
% 92.26/92.08 [3594]E(f317(f317(f74(a89),f317(a3,x35941)),f317(a3,x35942)),f317(a3,f317(f317(f74(a897),x35941),x35942)))
% 92.26/92.08 [3595]E(f317(f317(f75(a89),f317(a3,x35951)),f317(a3,x35952)),f317(a3,f317(f317(f75(a897),x35951),x35952)))
% 92.26/92.08 [3596]E(f317(f317(f228(a897),f317(a102,x35961)),f317(a102,x35962)),f317(a102,f317(f317(f228(a897),x35961),x35962)))
% 92.26/92.08 [3597]E(f317(f317(f223(a897),f317(a102,x35971)),f317(a102,x35972)),f317(a102,f317(f317(f223(a897),x35971),x35972)))
% 92.26/92.08 [3601]E(f317(f162(a897),f129(a897,f317(f292(a897,x36011),x36012))),f317(f292(a897,x36011),x36012))
% 92.26/92.08 [3602]E(f317(f162(a897),f129(a897,f317(f292(a897,x36021),x36022))),f317(f292(a897,x36021),x36022))
% 92.26/92.08 [3603]E(f302(x36031,f317(f317(f299(x36031),x36032),f178(f904(x36031,a893)))),x36032)
% 92.26/92.08 [3607]E(f317(f274(x36071,x36072),f178(f904(f903(x36071,x36072),a893))),f178(f904(x36072,a893)))
% 92.26/92.08 [3608]E(f317(f254(x36081,x36082),f178(f904(f903(x36081,x36082),a893))),f178(f904(x36081,a893)))
% 92.26/92.08 [3612]E(f317(a95,f317(f317(f23(a1),x36121),x36122)),f317(f30(a1),f295(a1,x36122,x36121)))
% 92.26/92.08 [3617]E(f317(f317(f74(a897),x36171),f317(f317(f75(a897),x36172),x36171)),f317(f317(f75(a897),f317(a102,x36172)),x36171))
% 92.26/92.08 [3619]E(f317(f317(f56(x36191),f178(f904(x36191,a893))),x36192),f178(f904(f904(x36191,a893),a893)))
% 92.26/92.08 [3628]E(f317(f179(f898(a897)),f129(a897,f317(f292(a897,x36281),x36282))),f317(f317(f23(a897),x36282),x36281))
% 92.26/92.08 [3643]E(f317(f317(f91(f904(x36431,a893)),f178(f904(x36431,a893))),x36432),x36432)
% 92.26/92.08 [3644]E(f317(f317(f92(f904(x36441,a893)),f232(f904(x36441,a893))),x36442),x36442)
% 92.26/92.08 [3645]E(f317(f317(f75(a1),f317(f90(a1),x36451)),f317(f90(a1),x36452)),f317(f90(a1),f317(f317(f75(a897),x36451),x36452)))
% 92.26/92.08 [3646]E(f317(f317(f31(a1),f317(f90(a1),x36461)),f317(f90(a1),x36462)),f317(f90(a1),f317(f317(f31(a897),x36461),x36462)))
% 92.26/92.08 [3647]E(f317(f317(f74(a1),f317(f73(a1),x36471)),f317(f73(a1),x36472)),f317(f73(a1),f317(f317(f74(a1),x36471),x36472)))
% 92.26/92.08 [3649]E(f317(f317(f74(a1),f317(f94(a1),x36491)),f317(f94(a1),x36492)),f317(f94(a1),f317(f317(f74(a1),x36491),x36492)))
% 92.26/92.08 [3650]E(f317(f317(f74(a1),f317(f90(a1),x36501)),f317(f90(a1),x36502)),f317(f90(a1),f317(f317(f74(a897),x36501),x36502)))
% 92.26/92.08 [3651]E(f317(f317(f74(a1),f317(f90(a1),x36511)),f317(f90(a1),x36512)),f317(f90(a1),f317(f317(f74(a897),x36511),x36512)))
% 92.26/92.08 [3652]E(f317(f317(f75(a1),f317(f94(a1),x36521)),f317(f94(a1),x36522)),f317(f94(a1),f317(f317(f75(a1),x36521),x36522)))
% 92.26/92.08 [3653]E(f317(f317(f75(a1),f317(f90(a1),x36531)),f317(f90(a1),x36532)),f317(f90(a1),f317(f317(f75(a897),x36531),x36532)))
% 92.26/92.08 [3654]E(f317(f317(f75(a1),f317(f90(a1),x36541)),f317(f90(a1),x36542)),f317(f90(a1),f317(f317(f75(a897),x36541),x36542)))
% 92.26/92.08 [3655]E(f317(f317(f31(a1),f317(f90(a1),x36551)),f317(f90(a1),x36552)),f317(f90(a1),f317(f317(f31(a897),x36551),x36552)))
% 92.26/92.08 [3674]E(f317(f317(f6(x36741,a897),f317(f16(a897,x36741),f72(a897))),x36742),f317(f30(x36741),x36742))
% 92.26/92.08 [3679]E(f317(f73(a1),f41(a1,f317(f73(a1),x36791),x36792)),f41(a1,x36791,f317(f73(a1),x36792)))
% 92.26/92.08 [3681]E(f317(f162(a1),f168(x36811,f317(f317(f23(a1),x36812),f72(a1)))),f317(f292(a1,x36811),x36812))
% 92.26/92.08 [3685]P1(f317(f317(f224(a897),x36851),f317(f317(f74(a897),x36852),x36851)))
% 92.26/92.08 [3686]P1(f317(f317(f224(a897),x36861),f317(f317(f74(a897),x36861),x36862)))
% 92.26/92.08 [3689]E(f317(f317(f23(f904(x36891,a893)),f178(f904(x36891,a893))),x36892),f178(f904(x36891,a893)))
% 92.26/92.08 [3690]E(f317(f317(f91(f904(x36901,a893)),f232(f904(x36901,a893))),x36902),f232(f904(x36901,a893)))
% 92.26/92.08 [3691]E(f317(f317(f92(f904(x36911,a893)),f178(f904(x36911,a893))),x36912),f178(f904(x36911,a893)))
% 92.26/92.08 [3698]E(f317(f317(f242(a1,a1),x36981),f317(f73(a1),x36982)),f317(a47,f317(f317(f242(a1,a1),x36981),x36982)))
% 92.26/92.08 [3699]E(f317(f292(a1,f317(f317(f74(a1),x36991),f72(a1))),x36992),f296(a1,x36991,x36992))
% 92.26/92.08 [3710]E(f317(f317(f75(a897),x37101),f317(f317(f31(a897),x37102),x37101)),f317(f317(f23(a897),x37102),f41(a897,x37102,x37101)))
% 92.26/92.08 [3711]E(f317(f317(f75(a1),x37111),f317(f317(f31(a1),x37112),x37111)),f317(f317(f23(a1),x37112),f41(a1,x37112,x37111)))
% 92.26/92.08 [3714]E(f317(f162(a1),f168(f317(f317(f74(a1),x37141),f72(a1)),x37142)),f295(a1,x37141,x37142))
% 92.26/92.08 [3718]P1(f317(f317(f224(f904(x37181,a893)),x37182),x37182))
% 92.26/92.08 [3721]E(f317(f317(f91(f904(x37211,a893)),x37212),f317(f73(f904(x37211,a893)),x37212)),f232(f904(x37211,a893)))
% 92.26/92.08 [3722]E(f317(f317(f92(f904(x37221,a893)),x37222),f317(f73(f904(x37221,a893)),x37222)),f178(f904(x37221,a893)))
% 92.26/92.08 [3730]E(f317(f317(f23(a897),f317(f317(f23(a897),x37301),f72(a897))),x37302),f317(f317(f23(a897),x37301),f317(a102,x37302)))
% 92.26/92.08 [3736]E(f317(f317(f23(f904(x37361,a893)),f232(f904(x37361,a893))),x37362),f317(f73(f904(x37361,a893)),x37362))
% 92.26/92.08 [3737]E(f317(f317(f23(a1),f317(f94(a1),x37371)),f317(f94(a1),x37372)),f317(f94(a1),f317(f317(f74(a1),x37371),f317(f73(a1),x37372))))
% 92.26/92.08 [3750]E(f317(f162(a897),f129(a897,f317(f292(a897,x37501),f317(a102,x37502)))),f293(a897,x37501,x37502))
% 92.26/92.08 [3766]E(f317(f179(f898(f898(x37661))),f50(x37661,x37662)),f317(f317(f234(a897),f317(a102,f317(a102,f2(a897)))),f317(f179(f898(x37661)),x37662)))
% 92.26/92.08 [3784]E(f317(f317(f173(f903(x37841,x37841),a893),f2(a897)),x37842),f297(x37841,f178(f904(f903(x37841,x37841),a893))))
% 92.26/92.08 [3788]P1(f317(f127(a897),f129(a897,f317(f292(a897,x37881),x37882))))
% 92.26/92.08 [3804]E(f317(f300(a1,a897,a95),f293(a1,f317(f90(a1),x38041),f317(f90(a1),x38042))),f293(a897,x38041,x38042))
% 92.26/92.08 [3813]E(f175(a897,f2(a897),f5(a897),f317(f317(f23(a897),x38131),x38132)),f317(f317(f23(a897),x38131),f317(a102,x38132)))
% 92.26/92.08 [3814]E(f317(a95,f317(f317(f23(a1),x38141),f317(f317(f74(a1),x38142),f72(a1)))),f317(f30(a1),f296(a1,x38142,x38141)))
% 92.26/92.08 [3849]E(f317(f317(f144(a897,a897),a102),f129(a897,f317(f292(a897,x38491),x38492))),f129(a897,f317(f292(a897,f317(a102,x38491)),f317(a102,x38492))))
% 92.26/92.08 [3857]E(f317(f162(a1),f168(f317(f317(f74(a1),x38571),f72(a1)),f317(f317(f23(a1),x38572),f72(a1)))),f296(a1,x38571,x38572))
% 92.26/92.08 [3869]P1(f317(f317(f224(f904(x38691,a893)),f178(f904(x38691,a893))),x38692))
% 92.26/92.08 [3873]E(f79(x38731,f317(f317(f7(x38731,x38731,a893),a314),x38732)),x38732)
% 92.26/92.08 [3874]E(f84(x38741,f317(f317(f7(x38741,x38741,a893),a314),x38742)),x38742)
% 92.26/92.08 [3878]E(f317(f162(a897),f129(a897,f317(f292(a897,f317(a102,x38781)),f317(a102,x38782)))),f295(a897,x38781,x38782))
% 92.26/92.08 [3904]E(f317(f317(f244(x39041,x39042),f232(f904(x39041,a893))),f317(f16(f904(x39042,a893),x39041),f232(f904(x39042,a893)))),f232(f904(f903(x39041,x39042),a893)))
% 92.26/92.08 [3937]E(f317(f252(x39371),f317(f317(f8(a893,a893,x39371),a312),x39372)),f317(f73(f904(x39371,a893)),f317(f252(x39371),x39372)))
% 92.26/92.08 [3940]E(f317(f252(x39401),f317(f317(f7(x39401,x39401,a893),a314),x39402)),f317(f317(f299(x39401),x39402),f178(f904(x39401,a893))))
% 92.26/92.08 [3947]E(f317(f317(f74(a1),f317(f317(f23(a1),x39471),x39472)),f317(f317(f23(a1),x39471),x39472)),f317(f317(f23(a1),f317(f317(f74(a1),x39471),x39471)),f317(f317(f74(a1),x39472),x39472)))
% 92.26/92.08 [3948]E(f317(f317(f74(a1),f317(f317(f74(a1),x39481),x39481)),f317(f317(f74(a1),x39482),x39482)),f317(f317(f74(a1),f317(f317(f74(a1),x39481),x39482)),f317(f317(f74(a1),x39481),x39482)))
% 92.26/92.08 [3964]P1(f317(f317(f224(a897),f317(f30(x39641),f317(f162(x39641),x39642))),f317(f179(f898(x39641)),x39642)))
% 92.26/92.08 [3965]P1(f317(f317(f224(a897),f317(f179(f898(x39651)),f142(x39651,x39652))),f317(f179(f898(x39651)),x39652)))
% 92.26/92.08 [3976]E(f317(f252(x39761),f317(f317(f7(x39761,f904(x39761,a893),a893),f319(x39761)),x39762)),x39762)
% 92.26/92.08 [3990]E(f317(f317(f165(x39901),f317(f317(f23(a897),f317(f179(f898(x39901)),x39902)),f72(a897))),x39902),f104(x39901,x39902))
% 92.26/92.08 [4010]E(f175(a897,f2(a897),f317(f317(f8(a897,a897,a897),a102),f317(f228(a897),x40101)),x40102),f317(f317(f228(a897),f317(a102,x40101)),x40102))
% 92.26/92.08 [4015]E(f32(f904(x40151,a893),f317(f300(f904(f903(x40151,x40151),a893),f904(x40151,a893),f271(x40151)),x40152)),f317(f271(x40151),f32(f904(f903(x40151,x40151),a893),x40152)))
% 92.26/92.08 [4016]E(f175(a897,f317(a102,x40161),f317(f317(f8(a897,a897,a897),a102),f317(f223(a897),x40161)),x40162),f317(f317(f223(a897),f317(a102,x40161)),x40162))
% 92.26/92.08 [4018]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),f317(f70(a1),x40181)),f317(f70(a1),x40182))),f41(a1,f317(f70(a1),x40181),f317(f70(a1),x40182))),f49(x40181,x40182))
% 92.26/92.08 [4042]P1(f317(f317(f224(f904(f904(x40421,a893),a893)),x40422),f317(f298(x40421),f32(f904(x40421,a893),x40422))))
% 92.26/92.08 [4075]E(f317(f317(f35(x40751,f904(x40751,a893)),x40752),f317(f317(f7(x40751,f904(x40751,a893),f904(x40751,a893)),f299(x40751)),f178(f904(x40751,a893)))),x40752)
% 92.26/92.08 [4076]E(f317(f317(f279(x40761,x40761,x40761),f317(f276(x40761,x40761),x40762)),f297(x40761,f317(f276(x40761,x40761),x40762))),f317(f276(x40761,x40761),f317(f317(f279(x40761,x40761,x40761),x40762),f297(x40761,x40762))))
% 92.26/92.08 [4139]E(f317(f162(x41391),f317(f132(f898(x41391),f898(x41391),f124(x41391),f103(x41391)),x41392)),f317(f317(f35(f898(x41391),f904(x41391,a893)),f317(f162(f898(x41391)),x41392)),f162(x41391)))
% 92.26/92.08 [4170]E(f317(f317(f91(f904(f903(x41701,x41701),a893)),f297(x41701,f178(f904(f903(x41701,x41701),a893)))),f317(f317(f279(x41701,x41701,x41701),f297(x41701,x41702)),x41702)),f297(x41701,x41702))
% 92.26/92.08 [4206]E(f317(f317(f171(x42061,x42061),x42062),x42062),f317(f317(f144(x42061,f903(x42061,x42061)),f317(f317(f18(x42061,x42061,f903(x42061,x42061)),f242(x42061,x42061)),f5(x42061))),x42062))
% 92.26/92.08 [4317]E(f317(f132(a897,f898(x43171),f317(f7(f898(x43171),a897,a897),f317(f317(f8(a897,f904(a897,a897),f898(x43171)),f223(a897)),f179(f898(x43171)))),f2(a897)),f317(f158(f898(x43171)),x43172)),f317(f179(f898(f898(x43171))),f169(x43171,x43172)))
% 92.26/92.08 [4389]E(f317(f317(f278(f903(a897,f898(x43891)),f898(x43891)),f310(a897,f898(x43891),a230,f135(x43891,x43892))),f317(f317(f18(f898(x43891),f898(x43891),f903(a897,f898(x43891))),f317(f317(f8(a897,f904(f898(x43891),f903(a897,f898(x43891))),f898(x43891)),f242(a897,f898(x43891))),f179(f898(x43891)))),f5(f898(x43891)))),f136(x43891,x43892))
% 92.26/92.08 [4516]E(f317(f252(x45161),f317(f317(f8(f904(f904(x45161,a893),a893),a893,x45161),f82(f904(x45161,a893))),f317(f317(f8(f904(f904(x45161,a893),a893),f904(f904(x45161,a893),a893),x45161),f317(f18(f904(x45161,a893),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x45161,a893)),a320),f317(f317(f7(f904(x45161,a893),f904(f904(x45161,a893),a893),a893),f319(f904(x45161,a893))),x45162)))),f319(x45161)))),f33(f904(x45161,a893),x45162))
% 92.26/92.08 [4517]E(f317(f252(x45171),f317(f317(f8(f904(f904(x45171,a893),a893),a893,x45171),f81(f904(x45171,a893))),f317(f317(f8(f904(f904(x45171,a893),a893),f904(f904(x45171,a893),a893),x45171),f317(f18(f904(x45171,a893),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x45171,a893)),a315),f317(f317(f7(f904(x45171,a893),f904(f904(x45171,a893),a893),a893),f319(f904(x45171,a893))),x45172)))),f319(x45171)))),f32(f904(x45171,a893),x45172))
% 92.26/92.08 [4625]~P1(f317(f317(f225(a1),f317(f90(a1),x46251)),f317(f73(a1),f317(f90(a1),x46252))))
% 92.26/92.08 [3615]E(f317(f317(f23(a897),f317(f317(f74(a897),x36151),x36152)),x36152),x36151)
% 92.26/92.08 [3616]E(f317(f317(f23(a897),f317(f317(f74(a897),x36161),x36162)),x36161),x36162)
% 92.26/92.08 [3680]E(f317(f317(f74(a897),f317(f317(f23(a897),x36801),x36802)),x36802),f317(f317(f223(a897),x36801),x36802))
% 92.26/92.08 [3791]E(f317(f317(f75(a897),f317(f317(f31(a897),x37911),x37912)),x37912),f317(f317(f23(a897),x37911),f41(a897,x37911,x37912)))
% 92.26/92.08 [3818]E(f317(f162(a897),f129(a897,f317(f292(a897,f317(a102,x38181)),x38182))),f296(a897,x38181,x38182))
% 92.26/92.08 [3826]E(f317(f90(a1),f206(f317(a95,f317(f70(a1),x38261)),f317(a95,f317(f70(a1),x38262)))),f317(f317(a207,x38261),x38262))
% 92.26/92.08 [3828]E(f317(f317(f91(f904(x38281,a893)),f317(f73(f904(x38281,a893)),x38282)),x38282),f232(f904(x38281,a893)))
% 92.26/92.08 [3829]E(f317(f317(f92(f904(x38291,a893)),f317(f73(f904(x38291,a893)),x38292)),x38292),f178(f904(x38291,a893)))
% 92.26/92.08 [3845]P1(f317(f317(f224(a897),f317(f317(f23(a897),x38451),x38452)),x38451))
% 92.26/92.08 [3846]P1(f317(f317(f224(a897),f317(f317(f31(a897),x38461),x38462)),x38461))
% 92.26/92.08 [3870]P1(f317(f317(f225(a897),x38701),f317(a102,f317(f317(f74(a897),x38702),x38701))))
% 92.26/92.08 [3871]P1(f317(f317(f225(a897),x38711),f317(a102,f317(f317(f74(a897),x38711),x38712))))
% 92.26/92.08 [3888]E(f317(f317(f75(a897),f317(a95,f317(f70(a1),x38881))),f317(a95,f317(f70(a1),x38882))),f317(a95,f317(f70(a1),f317(f317(f75(a1),x38881),x38882))))
% 92.26/92.08 [3898]E(f317(f317(f74(a1),f317(f317(f75(a1),x38981),x38982)),f317(f317(f75(a1),x38981),x38982)),f317(f317(f75(a1),f317(f317(f74(a1),x38981),x38981)),x38982))
% 92.26/92.08 [3900]P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x39001)),x39002)))
% 92.26/92.08 [3968]E(f317(f275(f898(x39681),f898(x39681),f148(x39681,x39682)),f317(f317(f299(f898(x39681)),f103(x39681)),f178(f904(f898(x39681),a893)))),f317(f317(f299(f898(x39681)),f103(x39681)),f178(f904(f898(x39681),a893))))
% 92.26/92.08 [3988]E(f317(f317(f91(f904(f903(x39881,x39881),a893)),f297(x39881,x39882)),f297(x39881,f178(f904(f903(x39881,x39881),a893)))),f297(x39881,x39882))
% 92.26/92.08 [4000]E(f317(f317(f31(a1),f317(f94(a1),f317(f317(f74(a1),x40001),x40001))),f317(f94(a1),f317(f317(f74(a1),x40002),x40002))),f317(f317(f31(a1),f317(f94(a1),x40001)),f317(f94(a1),x40002)))
% 92.26/92.08 [4065]E(f317(f317(f234(a1),x40651),f317(f94(a897),f317(f317(f74(a1),x40652),x40652))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x40651),f317(f94(a897),x40652))),f317(f317(f18(a1,a1,a1),f75(a1)),f5(a1))))
% 92.26/92.08 [4071]E(f317(f252(f904(x40711,a893)),f317(f317(f7(f904(x40711,a893),f904(x40711,a893),a893),f224(f904(x40711,a893))),x40712)),f317(f298(x40711),x40712))
% 92.26/92.08 [4087]E(f317(f317(f144(a1,a897),a95),f317(f317(f124(a1),f317(f317(f144(a897,a1),f90(a1)),x40871)),f317(f317(f144(a897,a1),f90(a1)),x40872))),f317(f317(f124(a897),x40871),x40872))
% 92.26/92.08 [4117]E(f317(f300(a1,a1,f317(f317(f7(a1,a1,a1),f74(a1)),x41171)),f317(f292(a1,f2(a1)),f317(f317(f23(a1),x41172),x41171))),f317(f292(a1,x41171),x41172))
% 92.26/92.08 [4119]P53(x41191,f317(f317(f23(f904(f903(x41191,x41191),a893)),x41192),f297(x41191,f178(f904(f903(x41191,x41191),a893)))))
% 92.26/92.08 [4137]E(f317(f179(f898(x41371)),f317(f132(f898(x41371),f898(x41371),f124(x41371),f103(x41371)),x41372)),f317(f155(a897),f317(f317(f144(f898(x41371),a897),f179(f898(x41371))),x41372)))
% 92.26/92.08 [4141]P52(x41411,f232(f904(x41411,a893)),f317(f317(f91(f904(f903(x41411,x41411),a893)),x41412),f297(x41411,f178(f904(f903(x41411,x41411),a893)))))
% 92.26/92.08 [4180]P1(f317(f317(f319(f903(x41801,x41801)),f317(f317(f242(x41801,x41801),x41802),x41802)),f297(x41801,f178(f904(f903(x41801,x41801),a893)))))
% 92.26/92.08 [4186]E(f175(a897,f2(a897),f317(f317(f8(a897,a897,a897),a102),f317(f317(f7(a897,a897,a897),f228(a897)),x41861)),x41862),f317(f317(f228(a897),x41862),f317(a102,x41861)))
% 92.26/92.08 [4189]E(f175(a897,f317(a102,x41891),f317(f317(f8(a897,a897,a897),a102),f317(f317(f7(a897,a897,a897),f223(a897)),x41891)),x41892),f317(f317(f223(a897),x41892),f317(a102,x41891)))
% 92.26/92.08 [4192]E(f317(f300(x41921,f898(x41921),f317(f317(f7(x41921,f898(x41921),f898(x41921)),f141(x41921)),f103(x41921))),x41922),f164(x41921,x41922,f317(f317(f299(f898(x41921)),f103(x41921)),f178(f904(f898(x41921),a893)))))
% 92.26/92.08 [4194]E(f317(f317(f91(f904(f903(x41941,x41941),a893)),f317(f317(f279(x41941,x41941,x41941),x41942),f297(x41941,x41942))),f297(x41941,f178(f904(f903(x41941,x41941),a893)))),f297(x41941,x41942))
% 92.26/92.08 [4201]P1(f317(f317(f224(f904(f903(x42011,x42011),a893)),f253(x42011,x42012)),f317(f317(f244(x42011,x42011),x42012),f317(f16(f904(x42011,a893),x42011),x42012))))
% 92.26/92.08 [4204]E(f317(f300(a1,a897,a95),f317(f317(f91(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x42041)),f317(f300(a897,a1,f90(a1)),x42042))),f317(f317(f91(f904(a897,a893)),x42041),x42042))
% 92.26/92.08 [4205]E(f317(f300(a1,a897,a95),f317(f317(f92(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x42051)),f317(f300(a897,a1,f90(a1)),x42052))),f317(f317(f92(f904(a897,a893)),x42051),x42052))
% 92.26/92.08 [4208]E(f317(f252(x42081),f317(f317(f8(a893,a893,x42081),a312),f317(f317(f7(x42081,f904(x42081,a893),a893),f319(x42081)),x42082))),f317(f73(f904(x42081,a893)),x42082))
% 92.26/92.08 [4235]E(f317(f132(f898(x42351),f898(x42351),f124(x42351),f103(x42351)),f317(f317(f144(f898(x42351),f898(x42351)),f158(x42351)),f317(f158(f898(x42351)),x42352))),f317(f158(x42351),f317(f132(f898(x42351),f898(x42351),f124(x42351),f103(x42351)),x42352)))
% 92.26/92.08 [4261]E(f317(f317(f35(a897,f904(f903(x42611,x42611),a893)),f232(f904(a897,a893))),f317(f317(f7(a897,f904(f903(x42611,x42611),a893),f904(f903(x42611,x42611),a893)),f173(f903(x42611,x42611),a893)),x42612)),f297(x42611,x42612))
% 92.26/92.08 [4279]E(f79(x42791,f317(f317(f8(f904(x42791,a893),a893,x42791),f317(a314,x42792)),f317(f317(f7(x42791,f904(x42791,a893),f904(x42791,a893)),f299(x42791)),f178(f904(x42791,a893))))),f302(x42791,x42792))
% 92.26/92.08 [4287]E(f317(f179(f898(x42871)),f142(x42871,f317(f132(f898(x42871),f898(x42871),f124(x42871),f103(x42871)),x42872))),f317(f30(x42871),f317(f317(f35(f898(x42871),f904(x42871,a893)),f317(f162(f898(x42871)),x42872)),f162(x42871))))
% 92.26/92.08 [4301]E(f317(f317(f91(f904(f903(x43011,x43011),a893)),x43012),f317(f317(f279(x43011,x43011,x43011),f317(f317(f279(x43011,x43011,x43011),x43012),f297(x43011,x43012))),x43012)),f317(f317(f279(x43011,x43011,x43011),x43012),f297(x43011,x43012)))
% 92.26/92.08 [4325]P1(f317(f317(f224(f904(f903(x43251,x43251),a893)),f317(f317(f279(x43251,x43251,x43251),x43252),f297(x43251,x43252))),f317(f317(f244(x43251,x43251),f317(f271(x43251),x43252)),f317(f16(f904(x43251,a893),x43251),f317(f271(x43251),x43252)))))
% 92.26/92.08 [4366]E(f317(f252(f898(x43661)),f317(f317(f7(f898(x43661),f904(x43661,a893),a893),f317(f317(f8(f904(x43661,a893),f904(f904(x43661,a893),a893),f898(x43661)),f224(f904(x43661,a893))),f162(x43661))),x43662)),f151(x43661,x43662))
% 92.26/92.08 [4377]E(f317(f146(f898(x43771),x43771,f103(x43771),f317(f317(f8(f898(x43771),f904(f898(x43771),f898(x43771)),x43771),f317(f7(f898(x43771),f898(x43771),f898(x43771)),f124(x43771))),f317(f317(f7(x43771,f898(x43771),f898(x43771)),f141(x43771)),f103(x43771)))),x43772),f317(f157(x43771),x43772))
% 92.26/92.08 [4417]P24(f904(x44171,x44172),f904(f903(x44171,x44172),a893),f317(f317(f8(f904(f903(x44171,x44172),a893),f904(f903(x44171,x44172),a893),f904(x44171,x44172)),f252(f903(x44171,x44172))),f317(f317(f8(f904(x44171,f904(x44172,a893)),f904(f903(x44171,x44172),a893),f904(x44171,x44172)),f247(x44171,x44172,a893)),f317(f8(x44172,f904(x44172,a893),x44171),f317(f7(x44172,x44172,a893),a314)))),f232(f904(f904(x44171,x44172),a893)))
% 92.26/92.08 [4422]E(f41(a1,f317(f94(a1),f317(f317(f74(a1),x44221),x44221)),f317(f94(a1),f317(f317(f74(a1),x44222),x44222))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a1,f317(f94(a1),x44221),f317(f94(a1),x44222))))
% 92.26/92.08 [4466]E(f317(f317(f35(x44661,f904(f903(x44661,x44661),a893)),x44662),f317(f317(f7(x44661,f904(f903(x44661,x44661),a893),f904(f903(x44661,x44661),a893)),f317(f317(f8(f903(x44661,x44661),f904(f904(f903(x44661,x44661),a893),f904(f903(x44661,x44661),a893)),x44661),f299(f903(x44661,x44661))),f317(f317(f18(x44661,x44661,f903(x44661,x44661)),f242(x44661,x44661)),f5(x44661)))),f178(f904(f903(x44661,x44661),a893)))),f253(x44661,x44662))
% 92.26/92.08 [4474]E(f192(x44741,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f903(a1,a1),a1,x44741,f241(a1,a1)),f202(x44741)),x44742))),f317(f317(f67(f903(a1,a1),a1,x44741,f246(a1,a1)),f202(x44741)),x44742))),f217(x44741,x44742))
% 92.26/92.08 [4555]E(f317(f252(f904(x45551,a893)),f317(f317(f8(f904(f904(x45551,a893),a893),a893,f904(x45551,a893)),f81(f904(x45551,a893))),f317(f317(f7(f904(x45551,a893),f904(f904(x45551,a893),a893),f904(f904(x45551,a893),a893)),f317(f317(f8(f904(f904(x45551,a893),f904(a893,a893)),f904(f904(f904(x45551,a893),a893),f904(f904(x45551,a893),a893)),f904(x45551,a893)),f18(f904(x45551,a893),a893,a893)),f317(f317(f8(f904(f904(x45551,a893),a893),f904(f904(x45551,a893),f904(a893,a893)),f904(x45551,a893)),f317(f8(a893,f904(a893,a893),f904(x45551,a893)),a315)),f317(f317(f7(f904(x45551,a893),f904(f904(x45551,a893),f904(x45551,a893)),f904(f904(x45551,a893),a893)),f317(f317(f8(f904(f904(x45551,a893),a893),f904(f904(f904(x45551,a893),f904(x45551,a893)),f904(f904(x45551,a893),a893)),f904(x45551,a893)),f8(f904(x45551,a893),a893,f904(x45551,a893))),a314)),f73(f904(x45551,a893)))))),f317(f317(f8(f904(f904(x45551,a893),a893),a893,f904(x45551,a893)),f317(f319(f904(x45551,a893)),x45552)),f298(x45551))))),f317(f298(x45551),f317(f73(f904(x45551,a893)),x45552)))
% 92.26/92.08 [4622]~E(f317(f317(f74(a1),x46221),x46221),f317(f317(f23(a1),f317(f317(f74(a1),x46222),x46222)),a87))
% 92.26/92.08 [4623]~E(f317(f317(f74(a1),x46231),x46231),f317(f317(f23(a1),f317(f317(f74(a1),x46232),x46232)),a87))
% 92.26/92.08 [4627]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x46271),x46272)),x46272))
% 92.26/92.08 [4628]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x46281),x46282)),x46281))
% 92.26/92.08 [3905]E(f317(f317(f23(a897),x39051),f317(f317(f75(a897),f317(f317(f31(a897),x39051),x39052)),x39052)),f41(a897,x39051,x39052))
% 92.26/92.08 [3906]E(f317(f317(f23(a1),x39061),f317(f317(f75(a1),f317(f317(f31(a1),x39061),x39062)),x39062)),f41(a1,x39061,x39062))
% 92.26/92.08 [3938]E(f317(f317(f144(a897,x39381),f317(f154(x39381),x39382)),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x39381)),x39382)))),x39382)
% 92.26/92.08 [3996]E(f317(f275(x39961,x39961,f297(x39961,f178(f904(f903(x39961,x39961),a893)))),x39962),x39962)
% 92.26/92.08 [4122]E(f297(x41221,f317(f317(f23(f904(f903(x41221,x41221),a893)),x41222),f297(x41221,f178(f904(f903(x41221,x41221),a893))))),f297(x41221,x41222))
% 92.26/92.08 [4123]E(f297(x41231,f317(f317(f91(f904(f903(x41231,x41231),a893)),x41232),f297(x41231,f178(f904(f903(x41231,x41231),a893))))),f297(x41231,x41232))
% 92.26/92.08 [4173]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x41731),x41731)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x41732),x41732)),a87)),f317(f317(f74(a1),f317(f317(f23(a1),x41731),x41732)),f317(f317(f23(a1),x41731),x41732)))
% 92.26/92.08 [4213]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42131),x42132)),f317(f317(f74(a1),x42131),x42132))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x42131),x42131)),f317(f317(f23(a1),f317(f317(f74(a1),x42132),x42132)),a87)))
% 92.26/92.08 [4238]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42381),x42381)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x42382),x42382)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),x42381),f317(f317(f23(a1),x42382),a87))),f317(f317(f74(a1),x42381),f317(f317(f23(a1),x42382),a87))))
% 92.26/92.08 [4249]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),x42491),x42492)),f317(f317(f23(a1),x42491),x42492))),a87),f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42491),x42491)),a87)),f317(f317(f74(a1),x42492),x42492)))
% 92.26/92.08 [4250]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42501),x42502)),f317(f317(f74(a1),x42501),x42502))),a87),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42501),x42501)),a87)),f317(f317(f74(a1),x42502),x42502)))
% 92.26/92.08 [4298]E(f317(f90(a1),f317(f317(f31(a897),f317(f317(f75(a897),f317(a95,f317(f70(a1),x42981))),f317(a95,f317(f70(a1),x42982)))),f206(f317(a95,f317(f70(a1),x42981)),f317(a95,f317(f70(a1),x42982))))),f208(x42981,x42982))
% 92.26/92.08 [4343]E(f317(f317(f249(f903(a89,a89),a89,f903(a89,a89),f903(x43431,f903(a89,a89))),f257(f317(a3,f317(f179(f898(x43431)),x43432)))),f317(f317(f8(x43431,f904(f903(a89,a89),f903(x43431,f903(a89,a89))),a89),f242(x43431,f903(a89,a89))),f317(f317(f8(a897,x43431,a89),f317(f154(x43431),x43432)),a20))),f265(x43431,x43432))
% 92.26/92.08 [4423]E(f317(f132(a897,f898(x44231),f317(f7(f898(x44231),a897,a897),f317(f317(f8(a897,f904(a897,a897),f898(x44231)),f223(a897)),f179(f898(x44231)))),f2(a897)),f317(f158(f898(x44231)),f169(x44231,x44232))),f317(f179(f898(f898(x44231))),f317(f126(f898(x44231),f317(f317(f8(a893,a893,f898(x44231)),a312),f317(f317(f7(f898(x44231),f898(x44231),a893),a314),f103(x44231)))),x44232)))
% 92.26/92.08 [4429]E(f317(f317(f35(a897,f904(x44291,a893)),f232(f904(a897,a893))),f317(f317(f7(a897,f904(a897,f904(x44291,a893)),f904(x44291,a893)),f317(f317(f8(f904(a897,a893),f904(f904(a897,f904(x44291,a893)),f904(x44291,a893)),a897),f35(a897,f904(x44291,a893))),f292(a897,f2(a897)))),x44292)),f317(f317(f35(a897,f904(x44291,a893)),f232(f904(a897,a893))),x44292))
% 92.26/92.08 [4451]P1(f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),x44511)),f317(f317(f7(a897,a897,a893),f225(a897)),x44512)))))
% 92.26/92.08 [4563]E(f317(f252(f903(f898(x45631),f898(x45631))),f317(f247(f898(x45631),f898(x45631),a893),f317(f317(f18(f898(x45631),f904(f898(x45631),a893),f904(f898(x45631),a893)),f317(f317(f8(f904(f898(x45631),f904(a893,a893)),f904(f904(f898(x45631),a893),f904(f898(x45631),a893)),f898(x45631)),f18(f898(x45631),a893,a893)),f317(f317(f8(f904(f898(x45631),a893),f904(f898(x45631),f904(a893,a893)),f898(x45631)),f317(f8(a893,f904(a893,a893),f898(x45631)),a316)),f317(f317(f7(f898(x45631),f904(f898(x45631),a897),f904(f898(x45631),a893)),f317(f317(f8(f904(a897,a893),f904(f904(f898(x45631),a897),f904(f898(x45631),a893)),f898(x45631)),f8(a897,a893,f898(x45631))),f317(f317(f8(a897,f904(a897,a893),f898(x45631)),f225(a897)),f179(f898(x45631))))),f179(f898(x45631)))))),f317(f317(f18(f898(x45631),f904(f898(x45631),a893),f904(f898(x45631),a893)),f317(f317(f8(f904(f898(x45631),f904(a893,a893)),f904(f904(f898(x45631),a893),f904(f898(x45631),a893)),f898(x45631)),f18(f898(x45631),a893,a893)),f317(f317(f8(f904(f898(x45631),a893),f904(f898(x45631),f904(a893,a893)),f898(x45631)),f317(f8(a893,f904(a893,a893),f898(x45631)),a315)),f317(f317(f7(f898(x45631),f904(f898(x45631),a897),f904(f898(x45631),a893)),f317(f317(f8(f904(a897,a893),f904(f904(f898(x45631),a897),f904(f898(x45631),a893)),f898(x45631)),f8(a897,a893,f898(x45631))),f317(f317(f8(a897,f904(a897,a893),f898(x45631)),a314),f179(f898(x45631))))),f179(f898(x45631)))))),f317(f317(f7(f898(x45631),f904(f903(f898(x45631),f898(x45631)),a893),f904(f898(x45631),a893)),f317(f317(f8(f904(f898(x45631),f904(f904(f903(f898(x45631),f898(x45631)),a893),a893)),f904(f904(f903(f898(x45631),f898(x45631)),a893),f904(f898(x45631),a893)),f898(x45631)),f7(f898(x45631),f904(f903(f898(x45631),f898(x45631)),a893),a893)),f317(f317(f8(f904(f898(x45631),f903(f898(x45631),f898(x45631))),f904(f898(x45631),f904(f904(f903(f898(x45631),f898(x45631)),a893),a893)),f898(x45631)),f317(f8(f903(f898(x45631),f898(x45631)),f904(f904(f903(f898(x45631),f898(x45631)),a893),a893),f898(x45631)),f319(f903(f898(x45631),f898(x45631))))),f242(f898(x45631),f898(x45631))))),f135(x45631,x45632)))))),f136(x45631,x45632))
% 92.26/92.08 [4241]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42411),x42412)),f317(f317(f75(a1),x42411),x42412))),x42412),f317(f317(f75(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42411),x42411)),a87)),x42412))
% 92.26/92.08 [4342]E(f317(a95,f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x43421),x43422)),f178(f904(f903(a897,a897),a893)))))),f317(f317(f23(a897),x43421),x43422))
% 92.26/92.08 [4346]E(f317(f317(f279(x43461,x43461,x43461),f317(f317(f91(f904(f903(x43461,x43461),a893)),x43462),f297(x43461,f178(f904(f903(x43461,x43461),a893))))),f297(x43461,f317(f317(f91(f904(f903(x43461,x43461),a893)),x43462),f297(x43461,f178(f904(f903(x43461,x43461),a893)))))),f297(x43461,x43462))
% 92.26/92.08 [4383]E(f258(x43831,f317(f126(f903(a89,x43831),f317(f247(a89,x43831,a893),f317(f317(f8(a893,f904(x43831,a893),a89),f16(a893,x43831)),f317(f225(a89),f2(a89))))),x43832)),f258(x43831,x43832))
% 92.26/92.08 [4384]E(f256(x43841,f317(f126(f903(a89,x43841),f317(f247(a89,x43841,a893),f317(f317(f8(a893,f904(x43841,a893),a89),f16(a893,x43841)),f317(f225(a89),f2(a89))))),x43842)),f256(x43841,x43842))
% 92.26/92.08 [4386]E(f317(f73(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x43861),x43862)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x43862),x43861)),f178(f904(f903(a897,a897),a893))))))
% 92.26/92.08 [4442]E(f317(f317(f278(f898(a897),x44421),f135(a897,a230)),f317(f317(f7(x44421,f898(f904(x44421,a897)),f898(a897)),f317(f317(f8(f904(f904(x44421,a897),a897),f904(f898(f904(x44421,a897)),f898(a897)),x44421),f144(f904(x44421,a897),a897)),f317(f7(f904(x44421,a897),x44421,a897),f5(f904(x44421,a897))))),x44422)),f143(x44421,x44422))
% 92.26/92.08 [4463]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44631),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f2(a897))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f8(a897,a897,a1),f317(f228(a897),x44632)),a95)))),f317(f317(f228(a897),f317(a102,x44632)),f317(f94(a897),x44631)))
% 92.26/92.08 [4464]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44641),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f317(a102,x44642))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f8(a897,a897,a1),f317(f223(a897),x44642)),a95)))),f317(f317(f223(a897),f317(a102,x44642)),f317(f94(a897),x44641)))
% 92.26/92.08 [4484]E(f317(f132(f898(x44841),f898(x44841),f124(x44841),f103(x44841)),f317(f317(f144(f898(x44841),f898(x44841)),f146(f898(x44841),x44841,f103(x44841),f317(f317(f8(f898(x44841),f904(f898(x44841),f898(x44841)),x44841),f16(f898(x44841),f898(x44841))),f317(f317(f7(x44841,f898(x44841),f898(x44841)),f141(x44841)),f103(x44841))))),x44842)),f317(f317(f144(f898(x44841),x44841),f131(x44841)),f317(f126(f898(x44841),f317(f317(f8(a893,a893,f898(x44841)),a312),f317(f317(f7(f898(x44841),f898(x44841),a893),a314),f103(x44841)))),x44842)))
% 92.26/92.08 [4546]E(f317(f247(a1,a1,a893),f317(f317(f7(a1,f904(a1,a893),f904(a1,a893)),f317(f317(f8(f904(a1,f904(a893,a893)),f904(f904(a1,a893),f904(a1,a893)),a1),f18(a1,a893,a893)),f317(f317(f8(f904(a1,a893),f904(a1,f904(a893,a893)),a1),f317(f8(a893,f904(a893,a893),a1),a315)),f317(f317(f8(f904(a1,a1),f904(a1,a893),a1),f317(f8(a1,a893,a1),f317(a314,x45461))),f317(f317(f8(a1,f904(a1,a1),a1),f74(a1)),f317(f75(a1),x45462)))))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),f317(a320,f317(f317(f225(a1),f2(a1)),x45462))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f7(a1,a1,a893),f225(a1)),x45462))))),f317(f317(f8(a893,a893,a1),f317(a320,f317(a312,f317(f317(f225(a1),f2(a1)),x45462)))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f225(a1),x45462))),f317(f317(f7(a1,a1,a893),f224(a1)),f2(a1))))))),f45(x45461,x45462))
% 92.26/92.08 [4549]E(f317(f252(x45491),f317(f317(f8(f904(a897,a893),a893,x45491),f81(a897)),f317(f317(f7(x45491,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),x45491),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),x45491),f317(f8(a893,f904(a893,a893),a897),a315)),f317(f317(f7(x45491,f904(a897,x45491),f904(a897,a893)),f317(f317(f8(f904(x45491,a893),f904(f904(a897,x45491),f904(a897,a893)),x45491),f8(x45491,a893,a897)),a314)),f317(f154(x45491),x45492))))),f317(f317(f7(a897,a897,a893),f225(a897)),f317(f179(f898(x45491)),x45492))))),f317(f162(x45491),x45492))
% 92.26/92.08 [4356]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x43561),a87)),x43562)),f317(f317(f23(a1),f317(f317(f74(a1),x43561),a87)),x43562))),a87),f317(f317(f23(a1),f317(f317(f74(a1),x43561),x43561)),f317(f317(f23(a1),f317(f317(f74(a1),x43562),x43562)),a87)))
% 92.26/92.08 [4479]E(f317(f132(f898(f898(x44791)),f898(f898(x44791)),f124(f898(x44791)),f103(f898(x44791))),f317(f317(f144(f898(x44791),f898(f898(x44791))),f146(f898(f898(x44791)),x44791,f103(f898(x44791)),f317(f16(f904(f898(x44791),f898(f898(x44791))),x44791),f317(f317(f7(f898(x44791),f898(f898(x44791)),f898(f898(x44791))),f141(f898(x44791))),f103(f898(x44791)))))),x44792)),f317(f317(f144(f898(x44791),f898(x44791)),f161(x44791)),f317(f126(f898(x44791),f317(f317(f8(a893,a893,f898(x44791)),a312),f317(f317(f7(f898(x44791),f898(x44791),a893),a314),f103(x44791)))),x44792)))
% 92.26/92.08 [4489]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44891),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f2(a897))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f904(a897,a897),a1),f228(a897)),a95)),x44892)))),f317(f317(f228(a897),f317(f94(a897),x44891)),f317(a102,x44892)))
% 92.26/92.08 [4490]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44901),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f317(a102,x44902))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f904(a897,a897),a1),f223(a897)),a95)),x44902)))),f317(f317(f223(a897),f317(f94(a897),x44901)),f317(a102,x44902)))
% 92.26/92.08 [4478]E(f317(f247(x44781,x44781,a893),f317(f317(f18(x44781,a893,f904(x44781,a893)),f317(f317(f8(f904(x44781,f904(a893,a893)),f904(a893,f904(x44781,a893)),x44781),f7(x44781,a893,a893)),f317(f317(f8(f904(x44781,a893),f904(x44781,f904(a893,a893)),x44781),f317(f8(a893,f904(a893,a893),x44781),a315)),a314))),x44782)),f253(x44781,x44782))
% 92.26/92.08 [4523]E(f317(f317(f31(a897),x45231),f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45232)),f317(f317(f31(a897),x45231),f317(a102,f317(a102,f317(a102,x45232)))))
% 92.26/92.08 [4524]E(f41(a897,x45241,f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45242)),f41(a897,x45241,f317(a102,f317(a102,f317(a102,x45242)))))
% 92.26/92.08 [4525]E(f41(a897,f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45251),x45252),f41(a897,f317(a102,f317(a102,f317(a102,x45251))),x45252))
% 92.26/92.08 [4537]E(f113(f317(x45371,f317(f317(f75(a89),f317(f94(a89),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45372))),f317(f190(x45371),x45372))
% 92.26/92.08 [4538]E(f317(f317(f31(a897),f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45381)),x45382),f317(f317(f31(a897),f317(a102,f317(a102,f317(a102,x45381)))),x45382))
% 92.26/92.08 [4589]~E(f116(x45891,x45892,x45893),f109(x45891))
% 92.26/92.08 [4590]~E(f116(x45901,x45902,x45903),f109(x45901))
% 92.26/92.08 [3343]E(f317(f182(x33431,x33432),x33433),f111(x33431,x33432))
% 92.26/92.08 [3362]E(f317(f189(x33621,x33622),x33623),f317(f119(x33621),x33622))
% 92.26/92.08 [3439]E(f317(f317(f144(x34391,x34392),x34393),f103(x34391)),f103(x34392))
% 92.26/92.08 [3478]E(f317(f174(x34781,x34782,x34783),f2(a897)),x34782)
% 92.26/92.08 [3480]E(f317(f317(f171(x34801,x34802),x34803),f103(x34802)),f103(f903(x34801,x34802)))
% 92.26/92.08 [3493]E(f317(f179(f898(x34931)),f159(x34931,x34932,x34933)),x34932)
% 92.26/92.08 [3512]E(f79(x35121,f57(x35121,x35122,x35123)),f317(f58(x35121,x35122),x35123))
% 92.26/92.08 [3516]E(f233(x35161,x35162,f233(x35162,x35161,x35163)),x35163)
% 92.26/92.08 [3537]E(f317(f158(x35371),f159(x35371,x35372,x35373)),f159(x35371,x35372,x35373))
% 92.26/92.08 [3562]E(f130(x35621,x35622,f142(x35621,x35623)),f142(x35621,f130(x35621,x35622,x35623)))
% 92.26/92.08 [3581]E(f317(f241(f898(x35811),f898(x35811)),f156(x35811,x35812,x35813)),f317(f126(x35811,x35812),x35813))
% 92.26/92.08 [3624]E(f317(f317(f141(x36241),x36242),f159(x36241,x36243,x36242)),f159(x36241,f317(a102,x36243),x36242))
% 92.26/92.08 [3656]E(f175(x36561,x36562,x36563,f2(a897)),x36562)
% 92.26/92.08 [3657]E(f17(x36571,x36572,x36573,f2(a89)),x36572)
% 92.26/92.08 [3658]E(f19(x36581,x36582,x36583,f2(a89)),x36582)
% 92.26/92.08 [3665]E(f153(x36651,x36652,x36653,f103(x36651)),f103(x36652))
% 92.26/92.08 [3666]E(f120(x36661,x36662,x36663,f109(x36661)),f109(x36662))
% 92.26/92.08 [3672]E(f317(f317(f154(x36721),f317(f317(f141(x36721),x36722),x36723)),f2(a897)),x36722)
% 92.26/92.08 [3700]E(f55(x37001,x37002,f103(x37001),x37003),f103(f903(x37001,x37002)))
% 92.26/92.08 [3720]P24(x37201,x37202,x37203,f178(f904(x37201,a893)))
% 92.26/92.08 [3822]E(f255(x38221,x38222,x38223),f317(f242(f904(a89,f904(a893,f900(f899(x38221)))),f903(a89,a89)),f37(x38221)))
% 92.26/92.08 [3879]E(f317(f67(x38791,x38792,x38791,x38793),f25(x38791)),x38793)
% 92.26/92.08 [4056]P1(f317(f317(f319(f903(x40561,x40561)),f317(f317(f242(x40561,x40561),x40562),x40562)),f297(x40561,x40563)))
% 92.26/92.08 [4633]~P1(f317(f317(f319(f903(f898(x46331),f898(x46331))),f317(f317(f242(f898(x46331),f898(x46331)),x46332),f103(x46331))),f135(x46331,x46333)))
% 92.26/92.08 [4634]~P1(f317(f317(f319(f903(f898(x46341),f898(x46341))),f317(f317(f242(f898(x46341),f898(x46341)),x46342),f103(x46341))),f137(x46341,x46343)))
% 92.26/92.08 [4635]~P1(f317(f317(f319(f903(f898(x46351),f898(x46351))),f317(f317(f242(f898(x46351),f898(x46351)),x46352),f103(x46351))),f147(x46351,x46353)))
% 92.26/92.08 [4636]~P1(f317(f317(f319(f903(f898(x46361),f898(x46361))),f317(f317(f242(f898(x46361),f898(x46361)),f103(x46361)),x46362)),f135(x46361,x46363)))
% 92.26/92.08 [4637]~P1(f317(f317(f319(f903(f898(x46371),f898(x46371))),f317(f317(f242(f898(x46371),f898(x46371)),f103(x46371)),x46372)),f147(x46371,x46373)))
% 92.26/92.08 [3414]E(f317(f317(f191(x34141),x34142),x34143),f192(x34141,f205(x34142,x34143)))
% 92.26/92.08 [3467]E(f317(f276(x34671,x34672),f317(f276(x34672,x34671),x34673)),x34673)
% 92.26/92.08 [3488]E(f317(f317(f171(x34881,x34882),f103(x34881)),x34883),f103(f903(x34881,x34882)))
% 92.26/92.08 [3491]E(f166(x34911,x34912,f317(f272(a897),x34913)),f317(f317(f165(x34911),x34913),x34912))
% 92.26/92.08 [3507]E(f317(f254(x35071,x35072),f317(f276(x35072,x35071),x35073)),f317(f274(x35072,x35071),x35073))
% 92.26/92.08 [3509]E(f142(x35091,f317(f126(x35091,x35092),x35093)),f317(f126(x35091,x35092),f142(x35091,x35093)))
% 92.26/92.08 [3510]E(f317(f274(x35101,x35102),f317(f276(x35102,x35101),x35103)),f317(f254(x35102,x35101),x35103))
% 92.26/92.08 [3511]E(f317(f254(x35111,x35112),f317(f276(x35112,x35111),x35113)),f317(f274(x35112,x35111),x35113))
% 92.26/92.08 [3530]E(f317(f126(x35301,x35302),f317(f158(x35301),x35303)),f317(f158(x35301),f317(f126(x35301,x35302),x35303)))
% 92.26/92.08 [3542]E(f317(f317(f128(x35421),x35422),f317(f161(x35421),x35423)),f317(f317(f128(x35421),f317(a102,x35422)),x35423))
% 92.26/92.08 [3558]E(f317(f300(x35581,x35582,x35583),f178(f904(x35581,a893))),f178(f904(x35582,a893)))
% 92.26/92.08 [3559]E(f317(f275(x35591,x35592,x35593),f178(f904(x35591,a893))),f178(f904(x35592,a893)))
% 92.26/92.08 [3560]E(f317(f301(x35601,x35602,x35603),f178(f904(x35602,a893))),f178(f904(x35601,a893)))
% 92.26/92.08 [3561]E(f317(f301(x35611,x35612,x35613),f232(f904(x35612,a893))),f232(f904(x35611,a893)))
% 92.26/92.08 [3587]E(f110(x35871,f116(f899(x35871),x35872,x35873)),f106(x35871,x35872,f110(x35871,x35873)))
% 92.26/92.08 [3588]E(f163(x35881,f317(f317(f141(x35881),x35882),x35883),f103(x35881)),f317(f317(f141(x35881),x35882),x35883))
% 92.26/92.08 [3589]E(f317(f317(f299(x35891),x35892),f317(f162(x35891),x35893)),f317(f162(x35891),f130(x35891,x35892,x35893)))
% 92.26/92.08 [3676]E(f317(f300(f903(x36761,x36762),x36762,f246(x36761,x36762)),x36763),f317(f274(x36761,x36762),x36763))
% 92.26/92.08 [3677]E(f317(f300(f903(x36771,x36772),x36771,f241(x36771,x36772)),x36773),f317(f254(x36771,x36772),x36773))
% 92.26/92.08 [3692]E(f317(f162(x36921),f159(x36921,f317(a102,x36922),x36923)),f317(f317(f299(x36921),x36923),f178(f904(x36921,a893))))
% 92.26/92.08 [3748]E(f317(f317(f242(x37481,x37482),f317(f241(x37481,x37482),x37483)),f317(f246(x37481,x37482),x37483)),x37483)
% 92.26/92.08 [3749]E(f317(f317(f242(x37491,x37492),f317(f241(x37491,x37492),x37493)),f317(f246(x37491,x37492),x37493)),x37493)
% 92.26/92.08 [3756]E(f317(f179(f899(x37561)),f116(x37561,x37562,x37563)),f317(f317(f74(a897),f317(f179(f899(x37561)),x37563)),f317(a102,f2(a897))))
% 92.26/92.08 [3758]E(f317(f317(f247(x37581,x37582,x37581),f16(x37581,x37582)),x37583),f317(f241(x37581,x37582),x37583))
% 92.26/92.08 [3884]E(f317(f67(x38841,x38841,x38842,f25(x38841)),x38843),x38843)
% 92.26/92.08 [3891]E(f317(f317(f124(x38911),f159(x38911,x38912,x38913)),f317(f317(f141(x38911),x38913),f103(x38911))),f317(f317(f141(x38911),x38913),f159(x38911,x38912,x38913)))
% 92.26/92.08 [4066]P1(f317(f317(f224(f904(x40661,a893)),f317(f162(x40661),f317(f126(x40661,x40662),x40663))),f317(f162(x40661),x40663)))
% 92.26/92.08 [4108]P1(f317(f317(f224(f904(x41081,a893)),f317(f162(x41081),f317(f317(f165(x41081),x41082),x41083))),f317(f162(x41081),x41083)))
% 92.26/92.08 [4109]P1(f317(f317(f224(f904(x41091,a893)),f317(f162(x41091),f317(f317(f128(x41091),x41092),x41093))),f317(f162(x41091),x41093)))
% 92.26/92.08 [4113]P1(f317(f317(f224(f904(x41131,a893)),f317(f162(x41131),f166(x41131,x41132,x41133))),f317(f162(x41131),x41132)))
% 92.26/92.08 [4114]P1(f317(f317(f224(f904(x41141,a893)),f317(f162(x41141),f160(x41141,x41142,x41143))),f317(f162(x41141),x41143)))
% 92.26/92.08 [4135]P24(f903(x41351,x41352),f903(x41352,x41351),f317(f247(x41351,x41352,f903(x41352,x41351)),f317(f7(x41352,x41351,f903(x41352,x41351)),f242(x41352,x41351))),x41353)
% 92.26/92.08 [4146]E(f317(f317(f317(f173(f898(x41461),f898(x41461)),f41(a897,x41462,f317(f179(f898(x41461)),x41463))),f157(x41461)),x41463),f317(f317(f317(f173(f898(x41461),f898(x41461)),x41462),f157(x41461)),x41463))
% 92.26/92.08 [4187]E(f317(f67(f898(x41871),f898(x41871),f898(x41871),f317(f317(f173(f898(x41871),f898(x41871)),x41872),f157(x41871))),f317(f317(f173(f898(x41871),f898(x41871)),x41873),f157(x41871))),f317(f317(f173(f898(x41871),f898(x41871)),f317(f317(f74(a897),x41872),x41873)),f157(x41871)))
% 92.26/92.08 [4190]P1(f317(f317(f319(f903(f898(x41901),f898(x41901))),f317(f317(f242(f898(x41901),f898(x41901)),x41902),x41902)),f148(x41901,f297(x41901,x41903))))
% 92.26/92.08 [4329]E(f79(f903(x43291,x43292),f317(f317(f18(f903(x43291,x43292),x43292,a893),f317(f317(f8(x43291,f904(x43292,a893),f903(x43291,x43292)),x43293),f241(x43291,x43292))),f246(x43291,x43292))),f79(f903(x43291,x43292),f317(f247(x43291,x43292,a893),x43293)))
% 92.26/92.08 [4330]E(f84(f903(x43301,x43302),f317(f317(f18(f903(x43301,x43302),x43302,a893),f317(f317(f8(x43301,f904(x43302,a893),f903(x43301,x43302)),x43303),f241(x43301,x43302))),f246(x43301,x43302))),f84(f903(x43301,x43302),f317(f247(x43301,x43302,a893),x43303)))
% 92.26/92.08 [4363]E(f317(f317(f278(f903(a897,x43631),x43631),f310(a897,x43631,a230,x43632)),f317(f317(f18(x43631,x43631,f903(a897,x43631)),f317(f317(f8(a897,f904(x43631,f903(a897,x43631)),x43631),f242(a897,x43631)),x43633)),f5(x43631))),f311(x43631,x43633,x43632))
% 92.26/92.08 [4425]E(f317(f248(x44251,x44251,x44252,x44252,f5(x44251),f5(x44252)),x44253),x44253)
% 92.26/92.08 [4498]E(f317(f132(f898(f898(x44981)),f898(f898(x44981)),f124(f898(x44981)),f103(f898(x44981))),f317(f317(f144(f898(x44981),f898(f898(x44981))),f317(f317(f7(f898(x44981),f898(x44981),f898(f898(x44981))),f317(f317(f8(f904(x44981,f898(x44981)),f904(f898(x44981),f898(f898(x44981))),f898(x44981)),f144(x44981,f898(x44981))),f317(f7(x44981,f898(x44981),f898(x44981)),f141(x44981)))),x44982)),f51(x44981,x44983,x44982))),f51(x44981,f317(a102,x44983),x44982))
% 92.26/92.08 [4554]E(f213(a897,f903(x45541,f899(x45541)),f2(a897),f317(f247(x45541,f899(x45541),a897),f317(f317(f7(x45541,a897,f904(f899(x45541),a897)),f317(f317(f8(f904(f899(x45541),f904(a897,a897)),f904(a897,f904(f899(x45541),a897)),x45541),f7(f899(x45541),a897,a897)),f317(f317(f8(f904(f899(x45541),a897),f904(f899(x45541),f904(a897,a897)),x45541),f317(f8(a897,f904(a897,a897),f899(x45541)),f74(a897))),f317(f317(f7(x45541,f904(f899(x45541),a897),f904(f899(x45541),a897)),f317(f317(f8(f904(a897,a897),f904(f904(f899(x45541),a897),f904(f899(x45541),a897)),x45541),f8(a897,a897,f899(x45541))),f317(f317(f8(a897,f904(a897,a897),x45541),f74(a897)),x45542))),f115(x45541,x45542))))),f72(a897))),f317(f125(x45541),x45543)),f317(f115(x45541,x45542),x45543))
% 92.26/92.08 [4562]E(f317(f317(f80(a1,x45621),f208(f317(f317(f67(f903(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45622),f317(f317(f67(f903(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45623))),f317(f317(f18(a1,a1,x45621),f317(f317(f8(a1,f904(a1,x45621),a1),f191(x45621)),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f904(a1,a1),a1),f74(a1)),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f903(a1,a1),a1,x45621,f241(a1,a1)),f202(x45621)),x45622))),f317(f317(f7(a1,a1,a1),f31(a1)),f317(f317(f67(f903(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45622))))),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f903(a1,a1),a1,x45621,f241(a1,a1)),f202(x45621)),x45623))),f317(f317(f7(a1,a1,a1),f31(a1)),f317(f317(f67(f903(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45623)))))),f5(a1))),f220(x45621,x45622,x45623))
% 92.26/92.08 [4584]~E(f317(f317(f141(x45841),x45842),x45843),x45843)
% 92.26/92.08 [4585]~E(f317(f317(f141(x45851),x45852),x45853),x45853)
% 92.26/92.08 [4587]~E(f317(f317(f141(x45871),x45872),x45873),f103(x45871))
% 92.26/92.08 [4588]~E(f317(f317(f141(x45881),x45882),x45883),f103(x45881))
% 92.26/92.08 [4593]~E(f317(f317(f299(x45931),x45932),x45933),f178(f904(x45931,a893)))
% 92.26/92.08 [4594]~E(f317(f317(f299(x45941),x45942),x45943),f178(f904(x45941,a893)))
% 92.26/92.08 [4614]~E(f317(f300(x46141,f904(x46141,a893),x46142),x46143),f317(f298(x46141),x46143))
% 92.26/92.08 [3471]E(f317(f317(f149(x34711,f103(x34711)),x34712),x34713),f103(x34711))
% 92.26/92.08 [3472]E(f317(f317(f149(x34721,f103(x34721)),x34722),x34723),f103(x34721))
% 92.26/92.08 [3473]E(f317(f131(x34731),f317(f317(f141(x34731),x34732),x34733)),x34732)
% 92.26/92.08 [3474]E(f317(f161(x34741),f317(f317(f141(x34741),x34742),x34743)),x34743)
% 92.26/92.08 [3515]E(f317(f317(f128(x35151),f72(a897)),f317(f317(f141(x35151),x35152),x35153)),x35153)
% 92.26/92.08 [3548]E(f104(x35481,f317(f317(f128(x35481),x35482),x35483)),f317(f317(f128(x35481),x35482),f104(x35481,x35483)))
% 92.26/92.08 [3549]E(f104(x35491,f317(f317(f128(x35491),x35492),x35493)),f317(f317(f128(x35491),x35492),f104(x35491,x35493)))
% 92.26/92.08 [3551]E(f317(f317(f149(x35511,x35512),x35513),f317(f317(f154(x35511),x35512),x35513)),x35512)
% 92.26/92.08 [3571]E(f317(f317(f299(x35711),x35712),f317(f317(f299(x35711),x35712),x35713)),f317(f317(f299(x35711),x35712),x35713))
% 92.26/92.08 [3584]E(f317(f317(f299(x35841),x35842),f317(f162(x35841),x35843)),f317(f162(x35841),f317(f317(f141(x35841),x35842),x35843)))
% 92.26/92.08 [3585]E(f317(f317(f128(x35851),x35852),f317(f161(x35851),x35853)),f317(f161(x35851),f317(f317(f128(x35851),x35852),x35853)))
% 92.26/92.08 [3586]E(f317(f317(f128(x35861),x35862),f317(f161(x35861),x35863)),f317(f161(x35861),f317(f317(f128(x35861),x35862),x35863)))
% 92.26/92.08 [3598]E(f317(f317(f165(x35981),f72(a897)),f317(f317(f141(x35981),x35982),x35983)),f317(f317(f141(x35981),x35982),f103(x35981)))
% 92.26/92.08 [3641]E(f317(f58(x36411,x36412),f317(f317(f299(x36411),x36413),f178(f904(x36411,a893)))),x36413)
% 92.26/92.08 [3682]E(f317(f317(f74(a897),x36821),f317(f317(f74(a897),x36822),x36823)),f317(f317(f74(a897),x36822),f317(f317(f74(a897),x36821),x36823)))
% 92.26/92.08 [3683]E(f317(f317(f74(a1),x36831),f317(f317(f74(a1),x36832),x36833)),f317(f317(f74(a1),x36832),f317(f317(f74(a1),x36831),x36833)))
% 92.26/92.08 [3688]E(f317(f317(f244(x36881,x36882),f178(f904(x36881,a893))),x36883),f178(f904(f903(x36881,x36882),a893)))
% 92.26/92.08 [3712]E(f317(f317(f91(f904(x37121,a893)),x37122),x37123),f317(f317(f91(f904(x37121,a893)),x37123),x37122))
% 92.26/92.08 [3713]E(f317(f317(f92(f904(x37131,a893)),x37132),x37133),f317(f317(f92(f904(x37131,a893)),x37133),x37132))
% 92.26/92.08 [3715]E(f317(f317(f124(x37151),x37152),f317(f317(f141(x37151),x37153),f103(x37151))),f317(f157(x37151),f317(f317(f141(x37151),x37153),x37152)))
% 92.26/92.08 [3716]E(f317(f317(f124(x37161),f317(f158(x37161),x37162)),f317(f158(x37161),x37163)),f317(f158(x37161),f317(f317(f124(x37161),x37163),x37162)))
% 92.26/92.08 [3726]E(f317(f161(x37261),f317(f317(f165(x37261),f317(a102,x37262)),x37263)),f317(f317(f165(x37261),x37262),f317(f161(x37261),x37263)))
% 92.26/92.08 [3734]P1(f317(f317(f319(x37341),x37342),f317(f317(f299(x37341),x37342),x37343)))
% 92.26/92.08 [3738]E(f317(f317(f36(x37381,f904(x37382,a893)),f178(f904(x37381,a893))),x37383),f232(f904(x37382,a893)))
% 92.26/92.08 [3741]E(f317(f275(x37411,x37411,f253(x37411,x37412)),x37413),f317(f317(f92(f904(x37411,a893)),x37412),x37413))
% 92.26/92.08 [3755]E(f317(f179(f898(x37551)),f317(f317(f141(x37551),x37552),x37553)),f317(f317(f74(a897),f317(f179(f898(x37551)),x37553)),f317(a102,f2(a897))))
% 92.26/92.08 [3760]E(f104(x37601,f317(f317(f124(x37601),x37602),f317(f317(f141(x37601),x37603),f103(x37601)))),x37602)
% 92.26/92.08 [3761]E(f134(x37611,f317(f317(f124(x37611),x37612),f317(f317(f141(x37611),x37613),f103(x37611)))),x37613)
% 92.26/92.08 [3769]E(f317(f317(f124(x37691),f317(f317(f165(x37691),x37692),x37693)),f317(f317(f128(x37691),x37692),x37693)),x37693)
% 92.26/92.08 [3778]E(f317(f317(f23(a897),f317(f317(f74(a897),x37781),x37782)),f317(f317(f74(a897),x37783),x37782)),f317(f317(f23(a897),x37781),x37783))
% 92.26/92.08 [3779]E(f317(f317(f23(a897),f317(f317(f74(a897),x37791),x37792)),f317(f317(f74(a897),x37791),x37793)),f317(f317(f23(a897),x37792),x37793))
% 92.26/92.08 [3785]E(f317(f317(f124(x37851),f317(f158(x37851),x37852)),f317(f317(f141(x37851),x37853),f103(x37851))),f317(f158(x37851),f317(f317(f141(x37851),x37853),x37852)))
% 92.26/92.08 [3787]E(f317(f317(f74(a897),f317(f179(f898(x37871)),x37872)),f317(f179(f898(x37871)),x37873)),f317(f179(f898(x37871)),f317(f317(f124(x37871),x37872),x37873)))
% 92.26/92.08 [3790]E(f317(f317(f74(a897),f317(f179(f898(x37901)),x37902)),f317(f179(f898(x37901)),x37903)),f317(f179(f898(x37901)),f163(x37901,x37902,x37903)))
% 92.26/92.08 [3797]E(f317(f317(f91(f904(x37971,a893)),f317(f162(x37971),x37972)),f317(f162(x37971),x37973)),f317(f162(x37971),f317(f317(f124(x37971),x37972),x37973)))
% 92.26/92.08 [3798]E(f41(a897,f317(f317(f75(a897),x37981),x37982),f317(f317(f75(a897),x37981),x37983)),f317(f317(f75(a897),x37981),f41(a897,x37982,x37983)))
% 92.26/92.08 [3810]E(f317(f317(f165(x38101),f317(f317(f23(a897),x38102),f72(a897))),f317(f161(x38101),x38103)),f317(f161(x38101),f317(f317(f165(x38101),x38102),x38103)))
% 92.26/92.08 [3815]E(f317(f317(f92(f904(x38151,a893)),x38152),f317(f73(f904(x38151,a893)),x38153)),f317(f317(f23(f904(x38151,a893)),x38152),x38153))
% 92.26/92.08 [3816]E(f317(f317(f23(f904(x38161,a893)),x38162),f317(f73(f904(x38161,a893)),x38163)),f317(f317(f92(f904(x38161,a893)),x38162),x38163))
% 92.26/92.08 [3838]E(f317(f317(f244(x38381,x38382),x38383),f317(f16(f904(x38382,a893),x38381),f178(f904(x38382,a893)))),f178(f904(f903(x38381,x38382),a893)))
% 92.26/92.08 [3840]E(f317(f317(f23(a897),f317(f317(f75(a897),x38401),x38402)),f317(f317(f75(a897),x38401),x38403)),f317(f317(f75(a897),x38401),f317(f317(f23(a897),x38402),x38403)))
% 92.26/92.08 [3841]E(f317(f317(f74(a897),f317(f317(f75(a897),x38411),x38412)),f317(f317(f75(a897),x38411),x38413)),f317(f317(f75(a897),x38411),f317(f317(f74(a897),x38412),x38413)))
% 92.26/92.08 [3842]E(f317(f317(f23(a1),f317(f317(f75(a1),x38421),x38422)),f317(f317(f75(a1),x38421),x38423)),f317(f317(f75(a1),x38421),f317(f317(f23(a1),x38422),x38423)))
% 92.26/92.08 [3843]E(f317(f317(f74(a1),f317(f317(f75(a1),x38431),x38432)),f317(f317(f75(a1),x38431),x38433)),f317(f317(f75(a1),x38431),f317(f317(f74(a1),x38432),x38433)))
% 92.26/92.08 [3844]E(f317(f317(f75(a1),f317(f317(f234(a1),x38441),x38442)),f317(f317(f234(a1),x38441),x38443)),f317(f317(f234(a1),x38441),f317(f317(f74(a897),x38442),x38443)))
% 92.26/92.08 [3858]E(f317(f317(f35(x38581,f904(x38582,a893)),x38583),f317(f16(f904(x38582,a893),x38581),f178(f904(x38582,a893)))),f178(f904(x38582,a893)))
% 92.26/92.08 [3860]E(f41(a897,f317(f317(f75(a897),x38601),x38602),f317(f317(f75(a897),x38603),x38602)),f317(f317(f75(a897),f41(a897,x38601,x38603)),x38602))
% 92.26/92.08 [3864]E(f41(a1,f317(f317(f75(a1),x38641),f41(a1,x38642,x38643)),x38643),f41(a1,f317(f317(f75(a1),x38641),x38642),x38643))
% 92.26/92.08 [3865]E(f41(a1,f317(f317(f23(a1),x38651),f41(a1,x38652,x38653)),x38653),f41(a1,f317(f317(f23(a1),x38651),x38652),x38653))
% 92.26/92.08 [3866]E(f41(a1,f317(f317(f75(a1),x38661),f41(a1,x38662,x38663)),x38663),f41(a1,f317(f317(f75(a1),x38661),x38662),x38663))
% 92.26/92.08 [3867]P1(f317(f317(f224(f904(x38671,a893)),x38672),f317(f317(f299(x38671),x38673),x38672)))
% 92.26/92.08 [3942]E(f317(f317(f36(f904(x39421,a893),f904(x39421,a893)),x39422),f317(f91(f904(x39421,a893)),x39423)),f317(f317(f91(f904(x39421,a893)),x39423),f33(f904(x39421,a893),x39422)))
% 92.26/92.08 [3943]E(f317(f317(f35(f904(x39431,a893),f904(x39431,a893)),x39432),f317(f92(f904(x39431,a893)),x39433)),f317(f317(f92(f904(x39431,a893)),x39433),f32(f904(x39431,a893),x39432)))
% 92.26/92.08 [3955]E(f317(f162(x39551),f317(f317(f317(f173(f898(x39551),f898(x39551)),x39552),f157(x39551)),x39553)),f317(f162(x39551),x39553))
% 92.26/92.08 [3959]E(f317(f317(f165(x39591),f317(f179(f898(x39591)),f167(x39591,x39592,x39593))),x39593),f167(x39591,x39592,x39593))
% 92.26/92.08 [3963]E(f317(f179(f898(x39631)),f317(f317(f317(f173(f898(x39631),f898(x39631)),x39632),f157(x39631)),x39633)),f317(f179(f898(x39631)),x39633))
% 92.26/92.08 [3966]E(f317(f317(f247(x39661,x39662,x39662),f317(f16(f904(x39662,x39662),x39661),f5(x39662))),x39663),f317(f246(x39661,x39662),x39663))
% 92.26/92.08 [3973]E(f41(a1,f317(f317(f23(a1),f41(a1,x39731,x39732)),x39733),x39732),f41(a1,f317(f317(f23(a1),x39731),x39733),x39732))
% 92.26/92.08 [3974]E(f41(a1,f317(f317(f234(a1),f41(a1,x39741,x39742)),x39743),x39742),f41(a1,f317(f317(f234(a1),x39741),x39743),x39742))
% 92.26/92.08 [3977]E(f317(f317(f35(f904(f903(x39771,x39772),a893),f904(x39772,a893)),x39773),f274(x39771,x39772)),f317(f274(x39771,x39772),f32(f904(f903(x39771,x39772),a893),x39773)))
% 92.26/92.08 [3978]E(f317(f317(f35(f904(f903(x39781,x39782),a893),f904(x39781,a893)),x39783),f254(x39781,x39782)),f317(f254(x39781,x39782),f32(f904(f903(x39781,x39782),a893),x39783)))
% 92.26/92.08 [4001]E(f317(f67(x40011,x40011,x40011,x40012),f317(f317(f173(x40011,x40011),x40013),x40012)),f317(f317(f173(x40011,x40011),f317(a102,x40013)),x40012))
% 92.26/92.08 [4019]E(f317(f317(f128(x40191),f317(f317(f23(a897),f317(f179(f898(x40191)),x40192)),x40193)),f317(f158(x40191),x40192)),f317(f158(x40191),f317(f317(f165(x40191),x40193),x40192)))
% 92.26/92.08 [4020]E(f317(f317(f165(x40201),f317(f317(f23(a897),f317(f179(f898(x40201)),x40202)),x40203)),f317(f158(x40201),x40202)),f317(f158(x40201),f317(f317(f128(x40201),x40203),x40202)))
% 92.26/92.08 [4022]E(f317(f317(f74(a897),f317(f155(a897),f317(f317(f144(x40221,a897),x40222),x40223))),f317(f179(f898(x40221)),x40223)),f145(x40221,x40222,x40223))
% 92.26/92.08 [4035]E(f317(f317(f317(f173(f898(x40351),f898(x40351)),x40352),f157(x40351)),f317(f157(x40351),x40353)),f317(f157(x40351),f317(f317(f317(f173(f898(x40351),f898(x40351)),x40352),f157(x40351)),x40353)))
% 92.26/92.08 [4043]E(f317(f157(x40431),f317(f317(f317(f173(f898(x40431),f898(x40431)),x40432),f157(x40431)),x40433)),f317(f317(f317(f173(f898(x40431),f898(x40431)),f317(a102,x40432)),f157(x40431)),x40433))
% 92.26/92.08 [4057]P1(f317(f317(f224(a897),f317(f179(f898(x40571)),f317(f126(x40571,x40572),x40573))),f317(f179(f898(x40571)),x40573)))
% 92.26/92.08 [4074]E(f317(f317(f91(f904(f904(x40741,a893),a893)),f317(f298(x40741),x40742)),f317(f300(f904(x40741,a893),f904(x40741,a893),f317(f299(x40741),x40743)),f317(f298(x40741),x40742))),f317(f298(x40741),f317(f317(f299(x40741),x40743),x40742)))
% 92.26/92.08 [4105]P1(f317(f317(f224(a897),f317(f179(f898(x41051)),f167(x41051,x41052,x41053))),f317(f179(f898(x41051)),x41053)))
% 92.26/92.08 [4112]E(f317(f254(x41121,x41122),f317(f252(f903(x41121,x41122)),f317(f247(x41121,x41122,a893),x41123))),f317(f252(x41121),f317(f317(f8(f904(x41122,a893),a893,x41121),f81(x41122)),x41123)))
% 92.26/92.08 [4124]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x41241)),f293(a897,x41242,x41243)),f293(a897,f317(f317(f74(a897),x41242),x41241),f317(f317(f74(a897),x41243),x41241)))
% 92.26/92.08 [4138]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x41381)),f317(f292(a897,x41382),x41383)),f317(f292(a897,f317(f317(f74(a897),x41382),x41381)),f317(f317(f74(a897),x41383),x41381)))
% 92.26/92.08 [4156]E(f317(f317(f171(x41561,x41562),f317(f317(f144(f903(x41561,x41562),x41561),f241(x41561,x41562)),x41563)),f317(f317(f144(f903(x41561,x41562),x41562),f246(x41561,x41562)),x41563)),x41563)
% 92.26/92.08 [4161]E(f317(f317(f74(a897),f317(f317(f75(a897),x41611),f41(a897,f317(f317(f31(a897),x41612),x41611),x41613))),f41(a897,x41612,x41611)),f41(a897,x41612,f317(f317(f75(a897),x41611),x41613)))
% 92.26/92.08 [4174]E(f317(f317(f124(x41741),x41742),f317(f132(f898(x41741),f898(x41741),f124(x41741),f103(x41741)),x41743)),f317(f132(f898(x41741),f898(x41741),f124(x41741),x41742),x41743))
% 92.26/92.08 [4195]P1(f317(f317(f319(f903(x41951,x41951)),f317(f317(f242(x41951,x41951),x41952),x41952)),f317(f317(f173(f903(x41951,x41951),a893),f2(a897)),x41953)))
% 92.26/92.08 [4200]E(f317(f252(x42001),f317(f317(f8(f904(x42002,a893),a893,x42001),f81(x42002)),f317(f7(x42002,x42001,a893),x42003))),f317(f274(x42002,x42001),f317(f252(f903(x42002,x42001)),f317(f247(x42002,x42001,a893),x42003))))
% 92.26/92.08 [4217]E(f317(f317(f91(f904(x42171,a893)),f317(f317(f35(a897,f904(x42171,a893)),f293(a897,f72(a897),x42172)),x42173)),f317(x42173,f2(a897))),f317(f317(f35(a897,f904(x42171,a893)),f317(f291(a897),x42172)),x42173))
% 92.26/92.08 [4232]E(f317(f132(f898(x42321),f898(x42321),f124(x42321),f103(x42321)),f317(f317(f144(f898(x42321),f898(x42321)),f126(x42321,x42322)),x42323)),f317(f126(x42321,x42322),f317(f132(f898(x42321),f898(x42321),f124(x42321),f103(x42321)),x42323)))
% 92.26/92.08 [4236]E(f317(f246(f898(x42361),f898(x42361)),f156(x42361,x42362,x42363)),f317(f126(x42361,f317(f67(a893,a893,x42361,a312),x42362)),x42363))
% 92.26/92.08 [4281]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42811),f317(f317(f31(a1),x42812),x42811))),f41(a1,x42812,x42811))),x42813),f317(f317(f74(a1),x42812),x42813))
% 92.26/92.08 [4318]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f31(a1),x43181),x43182)),x43182)),f41(a1,x43181,x43182))),x43183),f317(f317(f74(a1),x43181),x43183))
% 92.26/92.08 [4344]E(f79(f903(x43441,x43442),f317(f247(x43441,x43442,a893),f317(f317(f8(f904(x43442,f903(x43441,x43442)),f904(x43442,a893),x43441),f317(f8(f903(x43441,x43442),a893,x43442),x43443)),f242(x43441,x43442)))),f79(f903(x43441,x43442),x43443))
% 92.26/92.08 [4345]E(f84(f903(x43451,x43452),f317(f247(x43451,x43452,a893),f317(f317(f8(f904(x43452,f903(x43451,x43452)),f904(x43452,a893),x43451),f317(f8(f903(x43451,x43452),a893,x43452),x43453)),f242(x43451,x43452)))),f84(f903(x43451,x43452),x43453))
% 92.26/92.08 [4372]P1(f317(f317(f224(f904(x43721,a893)),f32(f904(x43721,a893),f317(f317(f92(f904(f904(x43721,a893),a893)),x43722),x43723))),f317(f317(f92(f904(x43721,a893)),f32(f904(x43721,a893),x43722)),f32(f904(x43721,a893),x43723))))
% 92.26/92.08 [4373]E(f317(f158(x43731),f317(f317(f317(f173(f898(x43731),f898(x43731)),f317(f317(f23(a897),f317(f179(f898(x43731)),x43732)),f41(a897,x43733,f317(f179(f898(x43731)),x43732)))),f157(x43731)),x43732)),f317(f317(f317(f173(f898(x43731),f898(x43731)),x43733),f157(x43731)),f317(f158(x43731),x43732)))
% 92.26/92.08 [4410]P1(f317(f317(f224(a897),f317(f179(f898(x44101)),f317(f317(f128(x44101),f317(f179(f898(x44101)),f167(x44101,x44102,x44103))),x44103))),f317(f179(f898(x44101)),x44103)))
% 92.26/92.08 [4626]~P1(f317(f57(x46261,x46262,f178(f904(x46261,a893))),x46263))
% 92.26/92.08 [4631]~P1(f317(f317(f319(f903(x46311,x46311)),f317(f317(f242(x46311,x46311),x46312),x46313)),f143(x46311,f103(f904(x46311,a897)))))
% 92.26/92.08 [3727]E(f317(f179(f898(x37271)),f317(f317(f165(x37271),x37272),x37273)),f317(f317(f228(a897),f317(f179(f898(x37271)),x37273)),x37272))
% 92.26/92.08 [3728]E(f317(f179(f898(x37281)),f317(f317(f128(x37281),x37282),x37283)),f317(f317(f23(a897),f317(f179(f898(x37281)),x37283)),x37282))
% 92.26/92.08 [3754]E(f317(f179(f898(f898(x37541))),f51(x37541,x37542,x37543)),f317(f317(f234(a897),f317(f179(f898(x37541)),x37543)),x37542))
% 92.26/92.08 [3771]E(f317(f317(f31(a897),f317(f317(f31(a897),x37711),x37712)),x37713),f317(f317(f31(a897),x37711),f317(f317(f75(a897),x37712),x37713)))
% 92.26/92.08 [3772]E(f317(f317(f23(a897),f317(f317(f23(a897),x37721),x37722)),x37723),f317(f317(f23(a897),x37721),f317(f317(f74(a897),x37722),x37723)))
% 92.26/92.08 [3773]E(f317(f317(f74(a897),f317(f317(f74(a897),x37731),x37732)),x37733),f317(f317(f74(a897),x37731),f317(f317(f74(a897),x37732),x37733)))
% 92.26/92.08 [3774]E(f317(f317(f74(a1),f317(f317(f74(a1),x37741),x37742)),x37743),f317(f317(f74(a1),x37741),f317(f317(f74(a1),x37742),x37743)))
% 92.26/92.08 [3775]E(f317(f317(f75(a897),f317(f317(f75(a897),x37751),x37752)),x37753),f317(f317(f75(a897),x37751),f317(f317(f75(a897),x37752),x37753)))
% 92.26/92.08 [3776]E(f317(f317(f75(a1),f317(f317(f75(a1),x37761),x37762)),x37763),f317(f317(f75(a1),x37761),f317(f317(f75(a1),x37762),x37763)))
% 92.26/92.08 [3777]E(f317(f317(f234(a1),f317(f317(f234(a1),x37771),x37772)),x37773),f317(f317(f234(a1),x37771),f317(f317(f75(a897),x37772),x37773)))
% 92.26/92.08 [3796]E(f152(x37961,f317(f317(f141(f904(x37961,a893)),x37962),x37963)),f164(x37961,x37962,f152(x37961,x37963)))
% 92.26/92.08 [3839]E(f317(f317(f23(a897),f317(f317(f23(a897),x38391),x38392)),x38393),f317(f317(f23(a897),f317(f317(f23(a897),x38391),x38393)),x38392))
% 92.26/92.08 [3847]E(f317(f317(f92(f904(x38471,a893)),x38472),f317(f317(f23(f904(x38471,a893)),x38473),x38472)),f178(f904(x38471,a893)))
% 92.26/92.08 [3851]E(f317(f317(f144(a897,x38511),f317(f16(x38511,a897),x38512)),f129(a897,f317(f292(a897,f2(a897)),x38513))),f159(x38511,x38513,x38512))
% 92.26/92.08 [3889]E(f33(f904(x38891,a893),f317(f317(f299(f904(x38891,a893)),x38892),x38893)),f317(f317(f92(f904(x38891,a893)),x38892),f33(f904(x38891,a893),x38893)))
% 92.26/92.08 [3890]E(f32(f904(x38901,a893),f317(f317(f299(f904(x38901,a893)),x38902),x38903)),f317(f317(f91(f904(x38901,a893)),x38902),f32(f904(x38901,a893),x38903)))
% 92.26/92.08 [3892]E(f159(x38921,f317(f179(f898(x38921)),f317(f126(x38921,f317(a314,x38922)),x38923)),x38922),f317(f126(x38921,f317(a314,x38922)),x38923))
% 92.26/92.08 [3894]E(f317(f317(f23(a897),f317(f317(f75(a897),x38941),x38942)),f317(f317(f75(a897),x38943),x38942)),f317(f317(f75(a897),f317(f317(f23(a897),x38941),x38943)),x38942))
% 92.26/92.08 [3895]E(f317(f317(f74(a897),f317(f317(f75(a897),x38951),x38952)),f317(f317(f75(a897),x38953),x38952)),f317(f317(f75(a897),f317(f317(f74(a897),x38951),x38953)),x38952))
% 92.26/92.08 [3896]E(f317(f317(f23(a1),f317(f317(f75(a1),x38961),x38962)),f317(f317(f75(a1),x38963),x38962)),f317(f317(f75(a1),f317(f317(f23(a1),x38961),x38963)),x38962))
% 92.26/92.08 [3897]E(f317(f317(f74(a1),f317(f317(f75(a1),x38971),x38972)),f317(f317(f75(a1),x38973),x38972)),f317(f317(f75(a1),f317(f317(f74(a1),x38971),x38973)),x38972))
% 92.26/92.08 [3899]E(f317(f317(f228(a897),f317(f317(f23(a897),x38991),x38992)),f317(f317(f23(a897),x38993),x38992)),f317(f317(f23(a897),f317(f317(f228(a897),x38991),x38993)),x38992))
% 92.26/92.08 [3919]E(f317(f317(f92(f904(f898(x39191),a893)),f150(x39191,x39192)),f150(x39191,x39193)),f150(x39191,f317(f317(f92(f904(x39191,a893)),x39192),x39193)))
% 92.26/92.08 [3922]E(f317(f317(f91(f904(x39221,a893)),x39222),f317(f317(f23(f904(x39221,a893)),x39223),x39222)),f317(f317(f91(f904(x39221,a893)),x39222),x39223))
% 92.26/92.08 [3923]E(f317(f317(f91(f904(x39231,a893)),x39232),f317(f317(f91(f904(x39231,a893)),x39232),x39233)),f317(f317(f91(f904(x39231,a893)),x39232),x39233))
% 92.26/92.08 [3924]E(f317(f317(f92(f904(x39241,a893)),x39242),f317(f317(f92(f904(x39241,a893)),x39242),x39243)),f317(f317(f92(f904(x39241,a893)),x39242),x39243))
% 92.26/92.08 [3936]E(f317(f317(f279(x39361,x39362,x39362),x39363),f297(x39362,f178(f904(f903(x39362,x39362),a893)))),x39363)
% 92.26/92.08 [3939]E(f317(f317(f91(f904(x39391,a893)),f317(f317(f299(x39391),x39392),f178(f904(x39391,a893)))),x39393),f317(f317(f299(x39391),x39392),x39393))
% 92.26/92.08 [3958]E(f317(f317(f23(a897),f317(f317(f23(a897),f317(a102,x39581)),x39582)),f317(a102,x39583)),f317(f317(f23(a897),f317(f317(f23(a897),x39581),x39582)),x39583))
% 92.26/92.08 [3986]E(f317(f317(f92(f904(f904(x39861,a893),a893)),f317(f298(x39861),x39862)),f317(f298(x39861),x39863)),f317(f298(x39861),f317(f317(f92(f904(x39861,a893)),x39862),x39863)))
% 92.26/92.08 [3989]E(f317(f317(f91(f904(x39891,a893)),f317(f73(f904(x39891,a893)),x39892)),x39893),f317(f73(f904(x39891,a893)),f317(f317(f23(f904(x39891,a893)),x39892),x39893)))
% 92.26/92.08 [3998]E(f317(f317(f299(x39981),x39982),f317(f317(f23(f904(x39981,a893)),x39983),f317(f317(f299(x39981),x39982),f178(f904(x39981,a893))))),f317(f317(f299(x39981),x39982),x39983))
% 92.26/92.08 [4008]P1(f317(f317(f224(f904(x40081,a893)),x40082),f317(f317(f91(f904(x40081,a893)),x40083),x40082)))
% 92.26/92.08 [4009]P1(f317(f317(f224(f904(x40091,a893)),x40092),f317(f317(f91(f904(x40091,a893)),x40092),x40093)))
% 92.26/92.08 [4013]E(f317(f317(f92(f904(x40131,a893)),f317(f73(f904(x40131,a893)),x40132)),f317(f73(f904(x40131,a893)),x40133)),f317(f73(f904(x40131,a893)),f317(f317(f91(f904(x40131,a893)),x40132),x40133)))
% 92.26/92.08 [4014]E(f317(f317(f91(f904(x40141,a893)),f317(f73(f904(x40141,a893)),x40142)),f317(f73(f904(x40141,a893)),x40143)),f317(f73(f904(x40141,a893)),f317(f317(f92(f904(x40141,a893)),x40142),x40143)))
% 92.26/92.08 [4028]P1(f317(f317(f224(f904(x40281,a893)),f317(f162(x40281),x40282)),f317(f162(x40281),f317(f317(f141(x40281),x40283),x40282))))
% 92.26/92.08 [4040]E(f317(f317(f91(f904(x40401,a893)),f317(f317(f23(f904(x40401,a893)),x40402),x40403)),f317(f317(f92(f904(x40401,a893)),x40402),x40403)),x40402)
% 92.26/92.08 [4092]E(f317(f317(f9(x40921,a1),f317(f317(f8(a897,a1,x40921),f90(a1)),x40922)),x40923),f317(f90(a1),f317(f317(f9(x40921,a897),x40922),x40923)))
% 92.26/92.08 [4093]E(f317(f317(f6(x40931,a1),f317(f317(f8(a897,a1,x40931),f90(a1)),x40932)),x40933),f317(f90(a1),f317(f317(f6(x40931,a897),x40932),x40933)))
% 92.26/92.08 [4140]E(f317(f317(f124(x41401),f167(x41401,x41402,x41403)),f317(f317(f128(x41401),f317(f179(f898(x41401)),f167(x41401,x41402,x41403))),x41403)),x41403)
% 92.26/92.08 [4144]E(f317(f73(f904(f903(x41441,x41442),a893)),f317(f317(f244(x41441,x41442),x41443),f317(f16(f904(x41442,a893),x41441),f232(f904(x41442,a893))))),f317(f317(f244(x41441,x41442),f317(f73(f904(x41441,a893)),x41443)),f317(f16(f904(x41442,a893),x41441),f232(f904(x41442,a893)))))
% 92.26/92.08 [4145]E(f317(f73(f904(f903(x41451,x41452),a893)),f317(f317(f244(x41451,x41452),f232(f904(x41451,a893))),f317(f16(f904(x41452,a893),x41451),x41453))),f317(f317(f244(x41451,x41452),f232(f904(x41451,a893))),f317(f16(f904(x41452,a893),x41451),f317(f73(f904(x41452,a893)),x41453))))
% 92.26/92.08 [4196]E(f317(f317(f35(f904(x41961,a893),f904(x41961,a893)),x41962),f317(f317(f7(f904(x41961,a893),f904(x41961,a893),f904(x41961,a893)),f92(f904(x41961,a893))),x41963)),f317(f317(f92(f904(x41961,a893)),f32(f904(x41961,a893),x41962)),x41963))
% 92.26/92.08 [4202]E(f317(f132(f898(x42021),f898(x42021),f124(x42021),f103(x42021)),f317(f317(f141(f898(x42021)),x42022),x42023)),f317(f317(f124(x42021),x42022),f317(f132(f898(x42021),f898(x42021),f124(x42021),f103(x42021)),x42023)))
% 92.26/92.08 [4223]E(f317(f317(f299(f904(x42231,a893)),f317(f275(x42231,x42231,x42232),f317(f317(f299(x42231),x42233),f178(f904(x42231,a893))))),f178(f904(f904(x42231,a893),a893))),f317(f317(f56(x42231),f317(f317(f299(x42231),x42233),f178(f904(x42231,a893)))),x42232))
% 92.26/92.08 [4233]E(f317(f317(f74(a897),f317(f317(f75(a897),x42331),f317(f317(f31(a897),x42332),x42333))),f317(f317(f31(a897),f317(f317(f75(a897),x42331),f41(a897,x42332,x42333))),x42333)),f317(f317(f31(a897),f317(f317(f75(a897),x42331),x42332)),x42333))
% 92.26/92.08 [4234]E(f317(f317(f74(a1),f317(f317(f75(a1),x42341),f317(f317(f31(a1),x42342),x42343))),f317(f317(f31(a1),f317(f317(f75(a1),x42341),f41(a1,x42342,x42343))),x42343)),f317(f317(f31(a1),f317(f317(f75(a1),x42341),x42342)),x42343))
% 92.26/92.08 [4266]E(f317(f317(f23(f904(x42661,a893)),f317(f162(x42661),x42662)),f317(f317(f299(x42661),x42663),f178(f904(x42661,a893)))),f317(f162(x42661),f317(f126(x42661,f317(f317(f8(a893,a893,x42661),a312),f317(a314,x42663))),x42662)))
% 92.26/92.08 [4316]E(f317(f317(f124(x43161),f317(f132(f898(x43161),f898(x43161),f124(x43161),f103(x43161)),x43162)),f317(f132(f898(x43161),f898(x43161),f124(x43161),f103(x43161)),x43163)),f317(f132(f898(x43161),f898(x43161),f124(x43161),f103(x43161)),f317(f317(f124(f898(x43161)),x43162),x43163)))
% 92.26/92.08 [4319]E(f317(f317(f242(f898(x43191),f898(x43191)),f317(f126(x43191,x43192),x43193)),f317(f126(x43191,f317(f67(a893,a893,x43191,a312),x43192)),x43193)),f156(x43191,x43192,x43193))
% 92.26/92.08 [4322]E(f317(f317(f74(a897),f317(f317(f74(a897),f317(f317(f31(a897),x43221),x43222)),f317(f317(f31(a897),x43223),x43222))),f317(f317(f31(a897),f317(f317(f74(a897),f41(a897,x43221,x43222)),f41(a897,x43223,x43222))),x43222)),f317(f317(f31(a897),f317(f317(f74(a897),x43221),x43223)),x43222))
% 92.26/92.08 [4323]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f31(a1),x43231),x43232)),f317(f317(f31(a1),x43233),x43232))),f317(f317(f31(a1),f317(f317(f74(a1),f41(a1,x43231,x43232)),f41(a1,x43233,x43232))),x43232)),f317(f317(f31(a1),f317(f317(f74(a1),x43231),x43233)),x43232))
% 92.26/92.08 [4376]E(f317(f317(f92(f904(f898(x43761),a893)),f317(f317(f7(f898(x43761),f904(f898(x43761),a893),a893),f319(f898(x43761))),f151(x43761,x43762))),f317(f317(f7(f898(x43761),f904(f898(x43761),a893),a893),f319(f898(x43761))),f151(x43761,x43763))),f150(x43761,f317(f317(f92(f904(x43761,a893)),f317(f317(f7(x43761,f904(x43761,a893),a893),f319(x43761)),x43762)),f317(f317(f7(x43761,f904(x43761,a893),a893),f319(x43761)),x43763))))
% 92.26/92.08 [4387]E(f317(f252(x43871),f317(f317(f18(x43871,a893,a893),f317(f317(f8(a893,f904(a893,a893),x43871),a316),f317(f317(f7(x43871,x43871,a893),a314),x43872))),f317(f317(f7(x43871,f904(x43871,a893),a893),f319(x43871)),x43873))),f317(f317(f299(x43871),x43872),x43873))
% 92.26/92.08 [4388]E(f317(f252(x43881),f317(f317(f18(x43881,a893,a893),f317(f317(f8(a893,f904(a893,a893),x43881),a316),f317(f317(f7(x43881,x43881,a893),a314),x43882))),f317(f317(f7(x43881,f904(x43881,a893),a893),f319(x43881)),x43883))),f317(f317(f299(x43881),x43882),x43883))
% 92.26/92.08 [4408]E(f317(f317(f80(f898(f898(x44081)),f898(f898(x44081))),f50(x44081,x44082)),f317(f317(f18(f898(f898(x44081)),f898(f898(x44081)),f898(f898(x44081))),f317(f317(f8(f898(f898(x44081)),f904(f898(f898(x44081)),f898(f898(x44081))),f898(f898(x44081))),f124(f898(x44081))),f317(f144(f898(x44081),f898(x44081)),f317(f141(x44081),x44083)))),f5(f898(f898(x44081))))),f50(x44081,f317(f317(f141(x44081),x44083),x44082)))
% 92.26/92.08 [4411]E(f317(f252(x44111),f317(f317(f18(x44111,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44111),a316),f317(f317(f7(x44111,f904(x44111,a893),a893),f319(x44111)),x44112))),f317(f317(f7(x44111,f904(x44111,a893),a893),f319(x44111)),x44113))),f317(f317(f91(f904(x44111,a893)),x44112),x44113))
% 92.26/92.08 [4412]E(f317(f252(x44121),f317(f317(f18(x44121,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44121),a315),f317(f317(f7(x44121,f904(x44121,a893),a893),f319(x44121)),x44122))),f317(f317(f7(x44121,f904(x44121,a893),a893),f319(x44121)),x44123))),f317(f317(f92(f904(x44121,a893)),x44122),x44123))
% 92.26/92.08 [4501]E(f317(f317(f35(x45011,f904(f904(x45011,a893),a893)),x45012),f317(f317(f7(x45011,f904(f904(x45011,a893),a893),f904(f904(x45011,a893),a893)),f317(f317(f8(f904(x45011,a893),f904(f904(f904(x45011,a893),a893),f904(f904(x45011,a893),a893)),x45011),f299(f904(x45011,a893))),f317(f317(f8(f904(x45011,a893),f904(x45011,a893),x45011),f275(x45011,x45011,x45013)),f317(f317(f7(x45011,f904(x45011,a893),f904(x45011,a893)),f299(x45011)),f178(f904(x45011,a893)))))),f178(f904(f904(x45011,a893),a893)))),f317(f317(f56(x45011),x45012),x45013))
% 92.26/92.08 [4503]E(f317(f317(f191(x45031),f317(f317(f75(a1),f317(f317(f67(f903(a1,a1),a1,x45031,f241(a1,a1)),f202(x45031)),x45032)),f317(f317(f67(f903(a1,a1),a1,x45031,f241(a1,a1)),f202(x45031)),x45033))),f317(f317(f75(a1),f317(f317(f67(f903(a1,a1),a1,x45031,f246(a1,a1)),f202(x45031)),x45032)),f317(f317(f67(f903(a1,a1),a1,x45031,f246(a1,a1)),f202(x45031)),x45033))),f218(x45031,x45032,x45033))
% 92.26/92.08 [4506]E(f317(f252(f898(x45061)),f317(f317(f18(f898(x45061),a893,a893),f317(f317(f8(a893,f904(a893,a893),f898(x45061)),a315),f317(f317(f7(f898(x45061),a897,a893),f317(f317(f8(a897,f904(a897,a893),f898(x45061)),a314),f179(f898(x45061)))),x45062))),f317(f317(f7(f898(x45061),f904(x45061,a893),a893),f317(f317(f8(f904(x45061,a893),f904(f904(x45061,a893),a893),f898(x45061)),f224(f904(x45061,a893))),f162(x45061))),f317(f162(x45061),x45063)))),f317(f162(f898(x45061)),f51(x45061,x45062,x45063)))
% 92.26/92.08 [3912]E(f41(a897,f317(f317(f74(a897),f317(f317(f75(a897),x39121),x39122)),x39123),x39122),f41(a897,x39123,x39122))
% 92.26/92.08 [3957]E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x39571),x39572)),x39573)),f317(f317(f128(a897),x39572),f129(a897,f317(f292(a897,x39571),x39573))))
% 92.26/92.08 [3997]E(f317(f317(f74(a1),f317(f90(a1),x39971)),f317(f317(f74(a1),f317(f90(a1),x39972)),x39973)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a897),x39971),x39972))),x39973))
% 92.26/92.08 [4004]E(f317(f317(f23(f904(x40041,a893)),f317(f317(f23(f904(x40041,a893)),x40042),x40043)),x40043),f317(f317(f23(f904(x40041,a893)),x40042),x40043))
% 92.26/92.08 [4005]E(f317(f317(f91(f904(x40051,a893)),f317(f317(f23(f904(x40051,a893)),x40052),x40053)),x40053),f317(f317(f91(f904(x40051,a893)),x40052),x40053))
% 92.26/92.08 [4029]E(f317(f317(f279(x40291,x40291,x40292),f297(x40291,f178(f904(f903(x40291,x40291),a893)))),x40293),x40293)
% 92.26/92.08 [4037]E(f317(f317(f91(f904(x40371,a893)),f317(f271(x40371),x40372)),f317(f271(x40371),x40373)),f317(f271(x40371),f317(f317(f91(f904(f903(x40371,x40371),a893)),x40372),x40373)))
% 92.26/92.08 [4048]E(f256(x40481,f317(f317(f141(f903(a89,x40481)),f317(f317(f242(a89,x40481),f2(a89)),x40482)),x40483)),f256(x40481,x40483))
% 92.26/92.08 [4050]E(f317(f317(f92(f904(x40501,a893)),f33(f904(x40501,a893),x40502)),f33(f904(x40501,a893),x40503)),f33(f904(x40501,a893),f317(f317(f91(f904(f904(x40501,a893),a893)),x40502),x40503)))
% 92.26/92.08 [4051]E(f317(f317(f91(f904(x40511,a893)),f32(f904(x40511,a893),x40512)),f32(f904(x40511,a893),x40513)),f32(f904(x40511,a893),f317(f317(f91(f904(f904(x40511,a893),a893)),x40512),x40513)))
% 92.26/92.08 [4089]E(f317(f317(f279(x40891,x40891,x40891),f317(f317(f173(f903(x40891,x40891),a893),x40892),x40893)),x40893),f317(f317(f173(f903(x40891,x40891),a893),f317(a102,x40892)),x40893))
% 92.26/92.08 [4132]P1(f317(f317(f224(f904(x41321,a893)),f317(f317(f23(f904(x41321,a893)),x41322),x41323)),x41322))
% 92.26/92.08 [4133]P1(f317(f317(f224(f904(x41331,a893)),f317(f317(f92(f904(x41331,a893)),x41332),x41333)),x41333))
% 92.26/92.08 [4134]P1(f317(f317(f224(f904(x41341,a893)),f317(f317(f92(f904(x41341,a893)),x41342),x41343)),x41342))
% 92.26/92.08 [4158]E(f297(x41581,f317(f317(f91(f904(f903(x41581,x41581),a893)),f297(x41581,x41582)),f297(x41581,x41583))),f297(x41581,f317(f317(f91(f904(f903(x41581,x41581),a893)),x41582),x41583)))
% 92.26/92.08 [4162]E(f32(f904(x41621,a893),f317(f317(f299(f904(x41621,a893)),x41622),f317(f317(f299(f904(x41621,a893)),x41623),f178(f904(f904(x41621,a893),a893))))),f317(f317(f91(f904(x41621,a893)),x41622),x41623))
% 92.26/92.08 [4163]E(f33(f904(x41631,a893),f317(f317(f299(f904(x41631,a893)),x41632),f317(f317(f299(f904(x41631,a893)),x41633),f178(f904(f904(x41631,a893),a893))))),f317(f317(f92(f904(x41631,a893)),x41632),x41633))
% 92.26/92.08 [4168]E(f317(f317(f279(x41681,x41681,x41681),f317(f317(f173(f903(x41681,x41681),a893),x41682),x41683)),x41683),f317(f317(f279(x41681,x41681,x41681),x41683),f317(f317(f173(f903(x41681,x41681),a893),x41682),x41683)))
% 92.26/92.08 [4237]E(f317(f317(f91(f904(x42371,a893)),f317(f252(x42371),f317(f317(f7(x42371,x42371,a893),a314),x42372))),x42373),f317(f317(f299(x42371),x42372),x42373))
% 92.26/92.08 [4239]E(f317(a95,f317(f317(f9(x42391,a1),f317(f317(f8(a897,a1,x42391),f90(a1)),x42392)),x42393)),f317(f317(f9(x42391,a897),x42392),x42393))
% 92.26/92.08 [4240]E(f317(a95,f317(f317(f6(x42401,a1),f317(f317(f8(a897,a1,x42401),f90(a1)),x42402)),x42403)),f317(f317(f6(x42401,a897),x42402),x42403))
% 92.26/92.08 [4313]E(f317(f146(f898(x43131),x43131,f317(f161(x43131),x43132),f317(f16(f904(f898(x43131),f898(x43131)),x43131),f317(f317(f7(f898(x43131),f898(x43131),f898(x43131)),f124(x43131)),x43132))),x43133),f317(f161(x43131),f317(f317(f124(x43131),x43133),x43132)))
% 92.26/92.08 [4341]P1(f317(f317(f224(f904(f904(x43411,a893),a893)),f317(f317(f91(f904(f904(x43411,a893),a893)),f317(f298(x43411),x43412)),f317(f298(x43411),x43413))),f317(f298(x43411),f317(f317(f91(f904(x43411,a893)),x43412),x43413))))
% 92.26/92.08 [4430]E(f317(f252(x44301),f317(f317(f18(x44301,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44301),a315),f317(f317(f7(x44301,f904(x44301,a893),a893),f319(x44301)),x44302))),f317(f317(f8(a893,a893,x44301),a312),f317(f317(f7(x44301,f904(x44301,a893),a893),f319(x44301)),x44303)))),f317(f317(f23(f904(x44301,a893)),x44302),x44303))
% 92.26/92.08 [4454]E(f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,a897,a893),f225(a897)),f317(f179(f898(x44541)),x44542)))),f317(f317(f8(x44541,a893,a897),x44543),f317(f154(x44541),x44542))))),f317(f179(f898(x44541)),f317(f126(x44541,x44543),x44542)))
% 92.26/92.08 [4456]E(f317(f179(f898(x44561)),f166(x44561,x44562,x44563)),f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,a897,a893),f225(a897)),f317(f179(f898(x44561)),x44562)))),f317(f317(f7(a897,f904(a897,a893),a893),f319(a897)),x44563)))))
% 92.26/92.08 [4552]E(f317(f317(f92(f904(f903(f898(x45521),f898(x45521)),a893)),f317(f300(f903(f903(x45521,f898(x45521)),f903(x45521,f898(x45521))),f903(f898(x45521),f898(x45521)),f248(f903(x45521,f898(x45521)),f898(x45521),f903(x45521,f898(x45521)),f898(x45521),f317(f247(x45521,f898(x45521),f898(x45521)),f141(x45521)),f317(f247(x45521,f898(x45521),f898(x45521)),f141(x45521)))),f310(x45521,f898(x45521),x45522,f317(f133(x45521,x45522),x45523)))),f317(f252(f903(f898(x45521),f898(x45521))),f317(f247(f898(x45521),f898(x45521),a893),f317(f317(f7(f898(x45521),f904(f898(x45521),a893),f904(f898(x45521),a893)),f317(f317(f8(f904(a893,a893),f904(f904(f898(x45521),a893),f904(f898(x45521),a893)),f898(x45521)),f8(a893,a893,f898(x45521))),f317(f317(f8(a893,f904(a893,a893),f898(x45521)),a315),f317(f317(f7(f898(x45521),a897,a893),f317(f317(f8(a897,f904(a897,a893),f898(x45521)),a314),f179(f898(x45521)))),f317(a102,x45523))))),f317(f317(f7(f898(x45521),a897,a893),f317(f317(f8(a897,f904(a897,a893),f898(x45521)),a314),f179(f898(x45521)))),f317(a102,x45523)))))),f317(f133(x45521,x45522),f317(a102,x45523)))
% 92.26/92.08 [4052]E(f41(a897,f317(a102,f317(f317(f74(a897),f317(f317(f75(a897),x40521),x40522)),x40523)),x40522),f41(a897,f317(a102,x40523),x40522))
% 92.26/92.08 [4299]E(f317(f252(x42991),f317(f317(f18(x42991,a893,a893),f317(f317(f8(a893,f904(a893,a893),x42991),a315),x42992)),x42993)),f317(f317(f92(f904(x42991,a893)),f317(f252(x42991),x42992)),f317(f252(x42991),x42993)))
% 92.26/92.08 [4300]E(f317(f252(x43001),f317(f317(f18(x43001,a893,a893),f317(f317(f8(a893,f904(a893,a893),x43001),a316),x43002)),x43003)),f317(f317(f91(f904(x43001,a893)),f317(f252(x43001),x43002)),f317(f252(x43001),x43003)))
% 92.26/92.08 [4302]E(f317(f317(f124(x43021),f317(f317(f128(x43021),f41(a897,x43022,f317(f179(f898(x43021)),x43023))),x43023)),f317(f317(f165(x43021),f41(a897,x43022,f317(f179(f898(x43021)),x43023))),x43023)),f317(f317(f317(f173(f898(x43021),f898(x43021)),x43022),f157(x43021)),x43023))
% 92.26/92.08 [4308]E(f317(f252(x43081),f317(f317(f18(x43081,a893,a893),f317(f317(f8(a893,f904(a893,a893),x43081),a320),x43082)),x43083)),f317(f317(f91(f904(x43081,a893)),f317(f73(f904(x43081,a893)),f317(f252(x43081),x43082))),f317(f252(x43081),x43083)))
% 92.26/92.08 [4324]E(f317(f317(f74(a897),f317(f179(f898(x43241)),f317(f126(x43241,x43242),x43243))),f317(f179(f898(x43241)),f317(f126(x43241,f317(f317(f8(a893,a893,x43241),a312),x43242)),x43243))),f317(f179(f898(x43241)),x43243))
% 92.26/92.08 [4347]P1(f317(f317(f224(f904(x43471,a893)),f317(f317(f91(f904(x43471,a893)),f33(f904(x43471,a893),x43472)),f33(f904(x43471,a893),x43473))),f33(f904(x43471,a893),f317(f317(f92(f904(f904(x43471,a893),a893)),x43472),x43473))))
% 92.26/92.08 [4361]E(f317(f162(x43611),f317(f126(x43611,f317(f317(f8(a893,a893,x43611),a312),f317(f317(f7(x43611,x43611,a893),a314),x43612))),x43613)),f317(f317(f23(f904(x43611,a893)),f317(f162(x43611),x43613)),f317(f317(f299(x43611),x43612),f178(f904(x43611,a893)))))
% 92.26/92.08 [4370]P1(f317(f317(f224(f904(f903(x43701,x43701),a893)),f317(f317(f91(f904(f903(x43701,x43701),a893)),f297(x43701,x43702)),f297(x43701,x43703))),f297(x43701,f317(f317(f91(f904(f903(x43701,x43701),a893)),x43702),x43703))))
% 92.26/92.08 [4393]E(f317(f317(f75(a897),f317(a102,f317(a102,f2(a897)))),f317(f317(f6(a897,a897),f317(f317(f8(a897,a897,a897),f317(f74(a897),x43931)),f317(f317(f7(a897,a897,a897),f75(a897)),x43932))),f317(f272(a897),x43933))),f317(f317(f75(a897),x43933),f317(f317(f74(a897),x43931),f317(f317(f74(a897),x43931),f317(f317(f75(a897),f317(f317(f23(a897),x43933),f72(a897))),x43932)))))
% 92.26/92.08 [4403]E(f317(f252(x44031),f317(f317(f18(x44031,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44031),a315),f317(f317(f7(x44031,f904(x44031,a893),a893),f319(x44031)),f317(f162(x44031),x44032)))),x44033)),f317(f162(x44031),f317(f126(x44031,x44033),x44032)))
% 92.26/92.08 [4551]E(f317(f252(x45511),f317(f317(f8(f904(a897,a893),a893,x45511),f81(a897)),f317(f317(f7(x45511,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),x45511),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),x45511),f317(f8(a893,f904(a893,a893),a897),a315)),f317(f317(f7(x45511,f904(a897,x45511),f904(a897,a893)),f317(f317(f8(f904(x45511,a893),f904(f904(a897,x45511),f904(a897,a893)),x45511),f8(x45511,a893,a897)),a314)),f317(f154(x45511),x45512))))),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,a897,a893),f225(a897)),f317(f179(f898(x45511)),x45512)))),f317(f317(f7(a897,f904(a897,a893),a893),f319(a897)),x45513))))),f317(f162(x45511),f166(x45511,x45512,x45513)))
% 92.26/92.08 [4443]E(f317(f252(x44431),f317(f317(f18(x44431,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44431),a320),f317(f317(f8(a893,a893,x44431),a312),f317(f317(f7(x44431,x44431,a893),a314),x44432)))),x44433)),f317(f317(f299(x44431),x44432),f317(f252(x44431),x44433)))
% 92.26/92.08 [4475]E(f317(f317(f144(f903(x44751,a897),x44751),f241(x44751,a897)),f317(f126(f903(x44751,a897),f317(f317(f7(f903(x44751,a897),f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),f903(x44751,a897)),f319(a897)),f246(x44751,a897))),x44752)),f317(f317(f171(x44751,a897),x44753),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x44751)),x44753)))))),f166(x44751,x44753,x44752))
% 92.26/92.08 [4502]E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f6(a897,a1),f317(f317(f8(a1,a1,a897),f317(f74(a1),x45021)),f317(f317(f7(a897,a1,a1),f317(f317(f8(a1,f904(a1,a1),a897),f75(a1)),f90(a1))),x45022))),f317(f272(a897),x45023))),f317(f317(f75(a1),f317(f90(a1),x45023)),f317(f317(f74(a1),x45021),f317(f317(f74(a1),x45021),f317(f317(f75(a1),f317(f90(a1),f317(f317(f23(a897),x45023),f72(a897)))),x45022)))))
% 92.26/92.08 [4544]E(f317(f252(f903(x45441,x45442)),f317(f247(x45441,x45442,a893),f317(f317(f7(x45441,f904(f903(x45442,x45441),a893),f904(x45442,a893)),f317(f317(f8(f904(x45442,f904(f904(f903(x45442,x45441),a893),a893)),f904(f904(f903(x45442,x45441),a893),f904(x45442,a893)),x45441),f7(x45442,f904(f903(x45442,x45441),a893),a893)),f317(f317(f8(f904(x45442,f903(x45442,x45441)),f904(x45442,f904(f904(f903(x45442,x45441),a893),a893)),x45441),f317(f8(f903(x45442,x45441),f904(f904(f903(x45442,x45441),a893),a893),x45442),f319(f903(x45442,x45441)))),f317(f7(x45442,x45441,f903(x45442,x45441)),f242(x45442,x45441))))),x45443))),f317(f276(x45442,x45441),x45443))
% 92.26/92.08 [4564]E(f317(f252(f898(x45641)),f317(f317(f8(f904(x45641,a893),a893,f898(x45641)),f81(x45641)),f317(f317(f8(f904(x45641,f904(f898(x45641),a893)),f904(x45641,a893),f898(x45641)),f317(f8(f904(f898(x45641),a893),a893,x45641),f81(f898(x45641)))),f317(f317(f7(f898(x45641),f904(x45641,f904(f898(x45641),a893)),f904(x45641,f904(f898(x45641),a893))),f317(f317(f8(f904(x45641,f904(f904(f898(x45641),a893),f904(f898(x45641),a893))),f904(f904(x45641,f904(f898(x45641),a893)),f904(x45641,f904(f898(x45641),a893))),f898(x45641)),f18(x45641,f904(f898(x45641),a893),f904(f898(x45641),a893))),f317(f317(f8(f904(x45641,f904(f898(x45641),f904(a893,a893))),f904(x45641,f904(f904(f898(x45641),a893),f904(f898(x45641),a893))),f898(x45641)),f317(f8(f904(f898(x45641),f904(a893,a893)),f904(f904(f898(x45641),a893),f904(f898(x45641),a893)),x45641),f18(f898(x45641),a893,a893))),f317(f317(f8(f904(x45641,f904(f898(x45641),a893)),f904(x45641,f904(f898(x45641),f904(a893,a893))),f898(x45641)),f317(f8(f904(f898(x45641),a893),f904(f898(x45641),f904(a893,a893)),x45641),f317(f8(a893,f904(a893,a893),f898(x45641)),a315))),f317(f317(f7(f898(x45641),f904(x45641,f904(f898(x45641),f898(x45641))),f904(x45641,f904(f898(x45641),a893))),f317(f317(f8(f904(f904(f898(x45641),f898(x45641)),f904(f898(x45641),a893)),f904(f904(x45641,f904(f898(x45641),f898(x45641))),f904(x45641,f904(f898(x45641),a893))),f898(x45641)),f8(f904(f898(x45641),f898(x45641)),f904(f898(x45641),a893),x45641)),f317(f317(f8(f904(f898(x45641),a893),f904(f904(f898(x45641),f898(x45641)),f904(f898(x45641),a893)),f898(x45641)),f8(f898(x45641),a893,f898(x45641))),a314))),f141(x45641)))))),f317(f317(f7(x45641,f904(f898(x45641),a893),f904(f898(x45641),a893)),f317(f317(f8(f904(a893,a893),f904(f904(f898(x45641),a893),f904(f898(x45641),a893)),x45641),f8(a893,a893,f898(x45641))),f317(f317(f8(a893,f904(a893,a893),x45641),a315),f317(f317(f7(x45641,f904(x45641,a893),a893),f319(x45641)),x45642)))),f317(f317(f7(f898(x45641),f904(f898(x45641),a893),a893),f319(f898(x45641))),x45643)))))),f164(x45641,x45642,x45643))
% 92.26/92.08 [4561]E(f317(f317(f80(a1,f903(a1,a1)),f317(f317(f23(a1),x45611),x45612)),f317(f317(f7(a1,f903(a1,a1),f903(a1,a1)),f317(f317(f18(a1,f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),f317(f317(f8(a893,f904(f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),a1),f86(f903(a1,a1))),f317(f224(a1),f2(a1)))),f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45613)),f72(a1))))),f317(f317(f242(a1,a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45613)),x45611))),f317(f39(x45612),f317(f317(f242(a1,a1),x45613),x45611)))
% 92.26/92.08 [3614]E(f106(x36141,f317(x36142,x36143),f317(x36144,x36143)),f317(f193(x36141,x36142,x36144),x36143))
% 92.26/92.08 [3667]E(f317(f317(f235(x36671,x36672,x36673),x36674),f2(a897)),x36672)
% 92.26/92.08 [3705]E(f175(x37051,x37052,x37053,f317(a102,x37054)),f317(x37053,x37054))
% 92.26/92.08 [3746]E(f160(x37461,x37462,f160(x37461,x37463,x37464)),f160(x37461,x37463,f160(x37461,x37462,x37464)))
% 92.26/92.08 [3747]E(f116(x37471,x37472,f106(x37471,x37473,x37474)),f106(x37471,f116(x37471,x37472,x37473),x37474))
% 92.26/92.08 [3880]E(f317(f146(x38801,x38802,x38803,x38804),f103(x38802)),x38803)
% 92.26/92.08 [3881]E(f317(f132(x38811,x38812,x38813,x38814),f103(x38812)),x38814)
% 92.26/92.08 [3918]E(f317(f179(f901(x39181,x39182)),f210(x39181,x39182,x39183,x39184)),f2(a897))
% 92.26/92.08 [3941]E(f317(f247(x39411,x39412,x39413),f245(x39411,x39412,x39413,x39414)),x39414)
% 92.26/92.08 [3985]E(f317(f317(f124(x39851),f159(x39851,x39852,x39853)),f159(x39851,x39854,x39853)),f317(f317(f124(x39851),f159(x39851,x39854,x39853)),f159(x39851,x39852,x39853)))
% 92.26/92.08 [4072]E(f317(f317(f249(x40721,x40722,x40723,f903(x40722,x40723)),x40724),f242(x40722,x40723)),x40724)
% 92.26/92.08 [4082]E(f117(x40821,x40822,x40823,x40824,f109(x40822)),x40823)
% 92.26/92.08 [4088]E(f69(x40881,x40882,x40883,x40884,f317(x40883,x40884)),x40883)
% 92.26/92.08 [4353]P41(x43531,x43532,x43533,x43534,f178(f904(x43531,a893)),x43534)
% 92.26/92.08 [4354]P41(x43541,x43542,x43543,x43544,f178(f904(x43541,a893)),x43544)
% 92.26/92.08 [3420]E(f317(f317(f16(x34201,x34202),x34203),x34204),x34203)
% 92.26/92.08 [3695]E(f160(x36951,x36952,f317(f126(x36951,x36953),x36954)),f317(f126(x36951,x36953),f160(x36951,x36952,x36954)))
% 92.26/92.08 [3729]E(f317(f317(f59(x37291,x37292,x37293),x37294),f178(f904(x37291,a893))),x37294)
% 92.26/92.08 [3753]E(f317(f317(f154(x37531),f317(f317(f141(x37531),x37532),x37533)),f317(a102,x37534)),f317(f317(f154(x37531),x37533),x37534))
% 92.26/92.08 [3820]E(f317(f317(x38201,x38202),f317(f174(x38203,x38204,x38201),x38202)),f317(f174(x38203,x38204,x38201),f317(a102,x38202)))
% 92.26/92.08 [3861]E(f245(x38611,x38612,x38613,f317(f247(x38611,x38612,x38613),x38614)),x38614)
% 92.26/92.08 [3916]E(f317(f317(f149(x39161,f317(f317(f141(x39161),x39162),x39163)),f2(a897)),x39164),f317(f317(f141(x39161),x39164),x39163))
% 92.26/92.08 [3926]E(f317(f317(f35(f904(x39261,a893),f904(x39262,a893)),x39263),f300(x39261,x39262,x39264)),f317(f300(x39261,x39262,x39264),f32(f904(x39261,a893),x39263)))
% 92.26/92.08 [3927]E(f317(f317(f35(f904(x39271,a893),f904(x39272,a893)),x39273),f301(x39272,x39271,x39274)),f317(f301(x39272,x39271,x39274),f32(f904(x39271,a893),x39273)))
% 92.26/92.08 [3952]E(f110(x39521,f120(x39522,f899(x39521),x39523,x39524)),f317(f108(x39522,x39521,x39524),x39523))
% 92.26/92.08 [4025]E(f317(f115(x40251,x40252),f116(x40251,x40253,x40254)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x40252,x40253)),f317(f115(x40251,x40252),x40254))),f317(a102,f2(a897))))
% 92.26/92.08 [4047]E(f317(f132(x40471,x40472,f317(f7(x40472,x40471,x40471),x40473),x40474),f317(f158(x40472),f103(x40472))),x40474)
% 92.26/92.08 [4152]E(f213(x41521,f903(x41522,f899(x41522)),x41523,f317(f247(x41522,f899(x41522),x41521),x41524),f317(f125(x41522),f109(x41522))),x41523)
% 92.26/92.08 [4284]E(f317(f247(x42841,x42842,x42843),f317(f317(f8(f904(x42842,f903(x42841,x42842)),f904(x42842,x42843),x42841),f317(f8(f903(x42841,x42842),x42843,x42842),x42844)),f242(x42841,x42842))),x42844)
% 92.26/92.08 [3605]E(f317(f246(x36051,x36052),f317(f317(f242(x36051,x36052),x36053),x36054)),x36054)
% 92.26/92.08 [3606]E(f317(f241(x36061,x36062),f317(f317(f242(x36061,x36062),x36063),x36064)),x36063)
% 92.26/92.08 [3639]E(f317(f179(f898(x36391)),f317(f317(f149(x36391,x36392),x36393),x36394)),f317(f179(f898(x36391)),x36392))
% 92.26/92.08 [3640]E(f317(f179(f898(x36401)),f317(f317(f144(x36402,x36401),x36403),x36404)),f317(f179(f898(x36402)),x36404))
% 92.26/92.08 [3661]E(f317(f317(f128(x36611),f317(a102,x36612)),f317(f317(f141(x36611),x36613),x36614)),f317(f317(f128(x36611),x36612),x36614))
% 92.26/92.08 [3724]E(f317(f317(f165(x37241),x37242),f159(x37241,x37243,x37244)),f159(x37241,f317(f317(f228(a897),x37242),x37243),x37244))
% 92.26/92.08 [3725]E(f317(f317(f128(x37251),x37252),f159(x37251,x37253,x37254)),f159(x37251,f317(f317(f23(a897),x37253),x37252),x37254))
% 92.26/92.08 [3731]E(f317(f317(f299(x37311),x37312),f317(f317(f299(x37311),x37313),x37314)),f317(f317(f299(x37311),x37313),f317(f317(f299(x37311),x37312),x37314)))
% 92.26/92.08 [3735]E(f317(f317(f144(x37351,x37352),x37353),f104(x37351,x37354)),f104(x37352,f317(f317(f144(x37351,x37352),x37353),x37354)))
% 92.26/92.08 [3751]E(f317(f158(x37511),f317(f317(f144(x37512,x37511),x37513),x37514)),f317(f317(f144(x37512,x37511),x37513),f317(f158(x37512),x37514)))
% 92.26/92.08 [3752]E(f317(f317(f144(x37521,x37522),x37523),f317(f161(x37521),x37524)),f317(f161(x37522),f317(f317(f144(x37521,x37522),x37523),x37524)))
% 92.26/92.08 [3767]E(f317(f317(f165(x37671),f317(a102,x37672)),f317(f317(f141(x37671),x37673),x37674)),f317(f317(f141(x37671),x37673),f317(f317(f165(x37671),x37672),x37674)))
% 92.26/92.08 [3770]E(f317(f162(x37701),f317(f317(f144(x37702,x37701),x37703),x37704)),f317(f300(x37702,x37701,x37703),f317(f162(x37702),x37704)))
% 92.26/92.08 [3783]E(f317(f317(f144(x37831,x37832),f317(f16(x37832,x37831),x37833)),x37834),f159(x37832,f317(f179(f898(x37831)),x37834),x37833))
% 92.26/92.08 [3819]E(f17(x38191,x38192,x38193,f317(a3,f317(a102,f317(a20,x38194)))),f317(x38193,x38194))
% 92.26/92.08 [3823]E(f317(f317(f124(x38231),f317(f126(x38231,x38232),x38233)),f317(f126(x38231,x38232),x38234)),f317(f126(x38231,x38232),f317(f317(f124(x38231),x38233),x38234)))
% 92.26/92.08 [3835]E(f142(x38351,f317(f317(f144(x38352,x38351),x38353),f142(x38352,x38354))),f142(x38351,f317(f317(f144(x38352,x38351),x38353),x38354)))
% 92.26/92.08 [3850]E(f317(f276(x38501,x38501),f317(f317(f278(x38502,x38501),x38503),x38504)),f317(f317(f278(x38502,x38501),f317(f276(x38502,x38502),x38503)),x38504))
% 92.26/92.08 [3862]E(f317(f317(f279(x38621,x38622,x38623),x38624),f178(f904(f903(x38622,x38623),a893))),f178(f904(f903(x38621,x38623),a893)))
% 92.26/92.08 [3863]E(f317(f317(f165(x38631),f317(f317(f23(a897),x38632),x38633)),f317(f317(f128(x38631),x38633),x38634)),f317(f317(f128(x38631),x38633),f317(f317(f165(x38631),x38632),x38634)))
% 92.26/92.08 [3882]E(f317(f317(f124(x38821),f159(x38821,x38822,x38823)),f159(x38821,x38824,x38823)),f159(x38821,f317(f317(f74(a897),x38822),x38824),x38823))
% 92.26/92.08 [3883]E(f317(f317(f317(f268(x38831),x38832),x38833),x38834),f317(f242(f904(a89,f904(a893,f900(f899(x38831)))),f903(a89,a89)),f317(f38(x38831),x38832)))
% 92.26/92.08 [3907]E(f32(f904(x39071,a893),f317(f300(x39072,f904(x39071,a893),x39073),x39074)),f317(f317(f35(x39072,f904(x39071,a893)),x39074),x39073))
% 92.26/92.08 [3908]E(f33(f904(x39081,a893),f317(f300(x39082,f904(x39081,a893),x39083),x39084)),f317(f317(f36(x39082,f904(x39081,a893)),x39084),x39083))
% 92.26/92.08 [3909]E(f33(f904(x39091,a893),f317(f300(x39092,f904(x39091,a893),x39093),x39094)),f317(f317(f36(x39092,f904(x39091,a893)),x39094),x39093))
% 92.26/92.08 [3910]E(f32(f904(x39101,a893),f317(f300(x39102,f904(x39101,a893),x39103),x39104)),f317(f317(f35(x39102,f904(x39101,a893)),x39104),x39103))
% 92.26/92.08 [3911]E(f317(f179(f898(f903(x39111,x39112))),f317(f317(f171(x39111,x39112),x39113),x39114)),f317(f317(f228(a897),f317(f179(f898(x39111)),x39113)),f317(f179(f898(x39112)),x39114)))
% 92.26/92.08 [3913]E(f317(f301(x39131,x39132,x39133),f317(f73(f904(x39132,a893)),x39134)),f317(f73(f904(x39131,a893)),f317(f301(x39131,x39132,x39133),x39134)))
% 92.26/92.08 [3962]E(f317(f301(x39621,x39622,x39623),f317(f252(x39622),x39624)),f317(f252(x39621),f317(f317(f8(x39622,a893,x39621),x39624),x39623)))
% 92.26/92.08 [3980]E(f317(f317(f154(x39801),f317(f317(f124(x39801),x39802),f317(f317(f141(x39801),x39803),x39804))),f317(f179(f898(x39801)),x39802)),x39803)
% 92.26/92.08 [4002]E(f317(f300(x40021,x40022,x40023),f317(f301(x40021,x40022,x40023),x40024)),f317(f317(f92(f904(x40022,a893)),x40024),f317(f300(x40021,x40022,x40023),f232(f904(x40021,a893)))))
% 92.26/92.08 [4021]P1(f317(f317(f319(x40211),f317(x40212,x40213)),f317(f300(x40214,x40211,x40212),f232(f904(x40214,a893)))))
% 92.26/92.08 [4030]E(f19(x40301,x40302,x40303,f317(a3,f317(a102,f317(a20,x40304)))),f317(f317(x40303,x40304),f19(x40301,x40302,x40303,x40304)))
% 92.26/92.08 [4034]E(f317(f317(f124(x40341),f159(x40341,x40342,x40343)),f317(f317(f141(x40341),x40343),x40344)),f317(f317(f141(x40341),x40343),f317(f317(f124(x40341),f159(x40341,x40342,x40343)),x40344)))
% 92.26/92.08 [4036]E(f317(f317(f244(x40361,x40362),f317(f162(x40361),x40363)),f317(f16(f904(x40362,a893),x40361),f317(f162(x40362),x40364))),f317(f162(f903(x40361,x40362)),f55(x40361,x40362,x40363,x40364)))
% 92.26/92.08 [4049]E(f145(x40491,x40492,f317(f317(f141(x40491),x40493),x40494)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x40492,x40493)),f145(x40491,x40492,x40494))),f317(a102,f2(a897))))
% 92.26/92.08 [4063]E(f175(f898(x40631),f317(f317(f141(x40631),x40632),x40633),f317(f317(f7(a897,f898(x40631),f898(x40631)),f128(x40631)),x40633),x40634),f317(f317(f128(x40631),x40634),f317(f317(f141(x40631),x40632),x40633)))
% 92.26/92.08 [4064]P24(x40641,f903(x40642,x40641),f321(x40643,x40644,x40642,x40641),f317(f317(f35(x40642,f904(x40641,a893)),x40644),x40643))
% 92.26/92.08 [4073]E(f317(f317(f23(f904(x40731,a893)),f317(f317(f23(f904(x40731,a893)),x40732),x40733)),f317(f317(f299(x40731),x40734),f178(f904(x40731,a893)))),f317(f317(f23(f904(x40731,a893)),x40732),f317(f317(f299(x40731),x40734),x40733)))
% 92.26/92.08 [4086]E(f317(f317(f173(f904(x40861,x40862),f904(x40861,x40862)),x40863),f67(x40862,x40862,x40861,x40864)),f67(x40862,x40862,x40861,f317(f317(f173(x40862,x40862),x40863),x40864)))
% 92.26/92.08 [4157]E(f317(f317(f317(f173(f898(x41571),f898(x41571)),x41572),f157(x41571)),f317(f317(f317(f173(f898(x41571),f898(x41571)),x41573),f157(x41571)),x41574)),f317(f317(f317(f173(f898(x41571),f898(x41571)),f317(f317(f74(a897),x41572),x41573)),f157(x41571)),x41574))
% 92.26/92.08 [4242]P1(f317(f317(f224(f904(x42421,a893)),f317(f162(x42421),f317(f317(f149(x42421,x42422),x42423),x42424))),f317(f317(f299(x42421),x42424),f317(f162(x42421),x42422))))
% 92.26/92.08 [4274]E(f317(f317(f35(f904(x42741,a893),f904(f903(x42741,x42742),a893)),x42743),f317(f317(f7(f904(x42741,a893),f904(x42741,f904(x42742,a893)),f904(f903(x42741,x42742),a893)),f244(x42741,x42742)),x42744)),f317(f317(f244(x42741,x42742),f32(f904(x42741,a893),x42743)),x42744))
% 92.26/92.08 [4312]E(f199(x43121,x43122,x43123,f317(f67(x43122,f904(a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(x43122))))),x43121,f198(x43122)),x43124)),f200(x43121,x43122,x43124,x43123))
% 92.26/92.08 [4327]E(f195(x43271,x43272,x43273,f317(f67(x43272,f904(a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(f900(x43272)))))),x43271,f194(x43272)),x43274)),f196(x43271,x43272,x43274,x43273))
% 92.26/92.08 [4331]P1(f317(f61(x43311,x43312,x43313,x43314,f178(f904(x43311,a893))),x43314))
% 92.26/92.08 [4332]P1(f317(f61(x43321,x43322,x43323,x43324,f178(f904(x43321,a893))),x43324))
% 92.26/92.08 [4371]E(f317(f317(f35(x43711,f904(x43712,a893)),x43713),f317(f317(f7(x43711,f904(x43712,a893),f904(x43712,a893)),f317(f317(f8(x43712,f904(f904(x43712,a893),f904(x43712,a893)),x43711),f299(x43712)),x43714)),f178(f904(x43712,a893)))),f317(f300(x43711,x43712,x43714),x43713))
% 92.26/92.08 [4378]P1(f317(f317(f224(f904(x43781,a893)),f317(f274(x43782,x43781),f317(f317(f92(f904(f903(x43782,x43781),a893)),x43783),x43784))),f317(f317(f92(f904(x43781,a893)),f317(f274(x43782,x43781),x43783)),f317(f274(x43782,x43781),x43784))))
% 92.26/92.08 [4379]P1(f317(f317(f224(f904(x43791,a893)),f317(f254(x43791,x43792),f317(f317(f92(f904(f903(x43791,x43792),a893)),x43793),x43794))),f317(f317(f92(f904(x43791,a893)),f317(f254(x43791,x43792),x43793)),f317(f254(x43791,x43792),x43794))))
% 92.26/92.08 [4439]P1(f317(f317(f224(f904(f903(x44391,x44392),a893)),f317(f300(x44392,f903(x44391,x44392),f321(x44393,x44394,x44391,x44392)),f317(f317(f35(x44391,f904(x44392,a893)),x44394),x44393))),f317(f317(f244(x44391,x44392),x44394),x44393)))
% 92.26/92.08 [4440]E(f317(f108(x44401,f903(x44401,x44402),x44403),f317(f317(f8(f904(x44402,f899(f903(x44401,x44402))),f899(f903(x44401,x44402)),x44401),f108(x44402,f903(x44401,x44402),x44404)),f317(f317(f8(f904(x44402,f903(x44401,x44402)),f904(x44402,f899(f903(x44401,x44402))),x44401),f317(f8(f903(x44401,x44402),f899(f903(x44401,x44402)),x44402),f119(f903(x44401,x44402)))),f242(x44401,x44402)))),f121(x44401,x44402,x44403,x44404))
% 92.26/92.08 [4441]E(f266(x44411,x44412,x44413,f317(f67(x44412,f904(a89,f904(a89,f904(f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x44412)))),f903(a89,a89))))),x44411,f268(x44412)),x44414)),f269(x44411,x44412,x44414,x44413))
% 92.26/92.08 [4481]E(f79(f903(x44811,x44812),f317(f247(x44811,x44812,a893),f317(f317(f7(x44811,f904(x44812,a893),f904(x44812,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x44812,a893),f904(x44812,a893)),x44811),f8(a893,a893,x44812)),f317(f317(f8(a893,f904(a893,a893),x44811),a315),f317(a314,x44813)))),f317(a314,x44814)))),f317(f317(f242(x44811,x44812),x44813),x44814))
% 92.26/92.08 [4482]E(f84(f903(x44821,x44822),f317(f247(x44821,x44822,a893),f317(f317(f7(x44821,f904(x44822,a893),f904(x44822,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x44822,a893),f904(x44822,a893)),x44821),f8(a893,a893,x44822)),f317(f317(f8(a893,f904(a893,a893),x44821),a315),f317(a314,x44823)))),f317(a314,x44824)))),f317(f317(f242(x44821,x44822),x44823),x44824))
% 92.26/92.08 [4553]E(f317(f317(f247(f898(x45531),f898(x45531),f903(f898(x45531),f898(x45531))),f317(f317(f18(f898(x45531),f904(f898(x45531),f903(f898(x45531),f898(x45531))),f904(f898(x45531),f903(f898(x45531),f898(x45531)))),f317(f317(f8(f904(f898(x45531),f904(f903(f898(x45531),f898(x45531)),f903(f898(x45531),f898(x45531)))),f904(f904(f898(x45531),f903(f898(x45531),f898(x45531))),f904(f898(x45531),f903(f898(x45531),f898(x45531)))),f898(x45531)),f18(f898(x45531),f903(f898(x45531),f898(x45531)),f903(f898(x45531),f898(x45531)))),f317(f317(f8(f904(f898(x45531),f903(f898(x45531),f898(x45531))),f904(f898(x45531),f904(f903(f898(x45531),f898(x45531)),f903(f898(x45531),f898(x45531)))),f898(x45531)),f317(f8(f903(f898(x45531),f898(x45531)),f904(f903(f898(x45531),f898(x45531)),f903(f898(x45531),f898(x45531))),f898(x45531)),f317(f86(f903(f898(x45531),f898(x45531))),f317(x45532,x45533)))),f317(f317(f8(f898(x45531),f904(f898(x45531),f903(f898(x45531),f898(x45531))),f898(x45531)),f242(f898(x45531),f898(x45531))),f317(f141(x45531),x45533))))),f317(f317(f7(f898(x45531),f904(f898(x45531),f898(x45531)),f904(f898(x45531),f903(f898(x45531),f898(x45531)))),f317(f317(f8(f904(f898(x45531),f903(f898(x45531),f898(x45531))),f904(f904(f898(x45531),f898(x45531)),f904(f898(x45531),f903(f898(x45531),f898(x45531)))),f898(x45531)),f8(f898(x45531),f903(f898(x45531),f898(x45531)),f898(x45531))),f242(f898(x45531),f898(x45531)))),f317(f141(x45531),x45533)))),f156(x45531,x45532,x45534)),f156(x45531,x45532,f317(f317(f141(x45531),x45533),x45534)))
% 92.26/92.08 [3799]E(f317(f317(f165(x37991),x37992),f317(f317(f165(x37991),x37993),x37994)),f317(f317(f165(x37991),f317(f317(f228(a897),x37992),x37993)),x37994))
% 92.26/92.08 [3800]E(f317(f317(f128(x38001),x38002),f317(f317(f128(x38001),x38003),x38004)),f317(f317(f128(x38001),f317(f317(f74(a897),x38002),x38003)),x38004))
% 92.26/92.08 [3811]E(f317(f317(f124(x38111),f317(f317(f141(x38111),x38112),x38113)),x38114),f317(f317(f141(x38111),x38112),f317(f317(f124(x38111),x38113),x38114)))
% 92.26/92.08 [3812]E(f317(f317(f124(x38121),f317(f317(f124(x38121),x38122),x38123)),x38124),f317(f317(f124(x38121),x38122),f317(f317(f124(x38121),x38123),x38124)))
% 92.26/92.08 [3893]E(f317(f317(f154(x38931),f317(f317(f141(x38931),x38932),x38933)),x38934),f175(x38931,x38932,f317(f154(x38931),x38933),x38934))
% 92.26/92.08 [3902]E(f317(f317(f173(x39021,x39021),x39022),f317(f317(f173(x39021,x39021),x39023),x39024)),f317(f317(f173(x39021,x39021),f317(f317(f75(a897),x39023),x39022)),x39024))
% 92.26/92.08 [3929]E(f317(f317(f91(f904(x39291,a893)),x39292),f317(f317(f299(x39291),x39293),x39294)),f317(f317(f299(x39291),x39293),f317(f317(f91(f904(x39291,a893)),x39292),x39294)))
% 92.26/92.08 [3944]E(f317(f317(f317(f173(x39441,x39441),x39442),x39443),f317(x39443,x39444)),f317(x39443,f317(f317(f317(f173(x39441,x39441),x39442),x39443),x39444)))
% 92.26/92.08 [3953]E(f317(f317(f279(x39531,x39532,x39533),f178(f904(f903(x39531,x39532),a893))),x39534),f178(f904(f903(x39531,x39533),a893)))
% 92.26/92.08 [3967]E(f317(f317(f91(f904(x39671,a893)),f317(f317(f299(x39671),x39672),x39673)),x39674),f317(f317(f299(x39671),x39672),f317(f317(f91(f904(x39671,a893)),x39673),x39674)))
% 92.26/92.08 [3987]E(f317(f30(f903(x39871,x39872)),f317(f317(f244(x39871,x39872),x39873),f317(f16(f904(x39872,a893),x39871),x39874))),f317(f317(f75(a897),f317(f30(x39871),x39873)),f317(f30(x39872),x39874)))
% 92.26/92.08 [3993]E(f317(f317(f92(f904(x39931,a893)),f317(f317(f299(x39931),x39932),x39933)),f317(f317(f299(x39931),x39932),x39934)),f317(f317(f299(x39931),x39932),f317(f317(f92(f904(x39931,a893)),x39933),x39934)))
% 92.26/92.08 [4006]E(f317(f317(f91(f904(x40061,a893)),x40062),f317(f317(f91(f904(x40061,a893)),x40063),x40064)),f317(f317(f91(f904(x40061,a893)),x40063),f317(f317(f91(f904(x40061,a893)),x40062),x40064)))
% 92.26/92.08 [4007]E(f317(f317(f92(f904(x40071,a893)),x40072),f317(f317(f92(f904(x40071,a893)),x40073),x40074)),f317(f317(f92(f904(x40071,a893)),x40073),f317(f317(f92(f904(x40071,a893)),x40072),x40074)))
% 92.26/92.08 [4017]E(f59(x40171,x40172,f317(f317(f8(x40172,f904(x40172,x40172),x40171),x40173),x40174)),f317(f60(x40172,x40171,x40173),x40174))
% 92.26/92.08 [4026]E(f169(x40261,f317(f317(f144(f898(x40262),f898(x40261)),f317(f144(x40262,x40261),x40263)),x40264)),f317(f317(f144(f898(x40262),f898(x40261)),f317(f144(x40262,x40261),x40263)),f169(x40262,x40264)))
% 92.26/92.08 [4045]E(f317(f132(f898(x40451),f898(x40451),f124(x40451),f103(x40451)),f317(f317(f144(x40452,f898(x40451)),x40453),x40454)),f153(x40452,x40451,x40453,x40454))
% 92.26/92.08 [4046]E(f317(f132(f898(x40461),f898(x40461),f124(x40461),f103(x40461)),f317(f317(f144(x40462,f898(x40461)),x40463),x40464)),f153(x40462,x40461,x40463,x40464))
% 92.26/92.08 [4104]E(f317(f67(x41041,x41041,x41041,f317(f317(f173(x41041,x41041),x41042),x41043)),f317(f317(f173(x41041,x41041),x41044),x41043)),f317(f317(f173(x41041,x41041),f317(f317(f74(a897),x41042),x41044)),x41043))
% 92.26/92.08 [4127]E(f317(f317(f92(f904(x41271,a893)),f317(f317(f23(f904(x41271,a893)),x41272),x41273)),f317(f317(f23(f904(x41271,a893)),x41272),x41274)),f317(f317(f23(f904(x41271,a893)),x41272),f317(f317(f91(f904(x41271,a893)),x41273),x41274)))
% 92.26/92.08 [4128]E(f317(f317(f91(f904(x41281,a893)),f317(f317(f23(f904(x41281,a893)),x41282),x41283)),f317(f317(f23(f904(x41281,a893)),x41282),x41284)),f317(f317(f23(f904(x41281,a893)),x41282),f317(f317(f92(f904(x41281,a893)),x41283),x41284)))
% 92.26/92.08 [4129]E(f317(f317(f92(f904(x41291,a893)),f317(f317(f91(f904(x41291,a893)),x41292),x41293)),f317(f317(f91(f904(x41291,a893)),x41292),x41294)),f317(f317(f91(f904(x41291,a893)),x41292),f317(f317(f92(f904(x41291,a893)),x41293),x41294)))
% 92.26/92.08 [4130]E(f317(f317(f23(f904(x41301,a893)),f317(f317(f92(f904(x41301,a893)),x41302),x41303)),f317(f317(f92(f904(x41301,a893)),x41302),x41304)),f317(f317(f92(f904(x41301,a893)),x41302),f317(f317(f23(f904(x41301,a893)),x41303),x41304)))
% 92.26/92.08 [4131]E(f317(f317(f91(f904(x41311,a893)),f317(f317(f92(f904(x41311,a893)),x41312),x41313)),f317(f317(f92(f904(x41311,a893)),x41312),x41314)),f317(f317(f92(f904(x41311,a893)),x41312),f317(f317(f91(f904(x41311,a893)),x41313),x41314)))
% 92.26/92.08 [4136]E(f317(f30(f903(x41361,x41362)),f317(f317(f244(x41361,x41362),f317(f317(f299(x41361),x41363),f178(f904(x41361,a893)))),f317(f16(f904(x41362,a893),x41361),x41364))),f317(f30(x41362),x41364))
% 92.26/92.08 [4171]E(f317(f317(f36(x41711,f904(x41712,a893)),x41713),f317(f317(f8(f904(x41712,a893),f904(x41712,a893),x41711),f73(f904(x41712,a893))),x41714)),f317(f73(f904(x41712,a893)),f317(f317(f35(x41711,f904(x41712,a893)),x41713),x41714)))
% 92.26/92.08 [4172]E(f317(f317(f35(x41721,f904(x41722,a893)),x41723),f317(f317(f8(f904(x41722,a893),f904(x41722,a893),x41721),f73(f904(x41722,a893))),x41724)),f317(f73(f904(x41722,a893)),f317(f317(f36(x41721,f904(x41722,a893)),x41723),x41724)))
% 92.26/92.08 [4188]E(f317(f317(f279(x41881,x41881,x41881),f317(f317(f173(f903(x41881,x41881),a893),x41882),x41883)),f317(f317(f173(f903(x41881,x41881),a893),x41884),x41883)),f317(f317(f173(f903(x41881,x41881),a893),f317(f317(f74(a897),x41882),x41884)),x41883))
% 92.26/92.08 [4218]E(f317(f317(f36(x42181,f904(f904(x42182,a893),a893)),x42183),f317(f317(f8(f904(x42182,a893),f904(f904(x42182,a893),a893),x42181),f298(x42182)),x42184)),f317(f298(x42182),f317(f317(f36(x42181,f904(x42182,a893)),x42183),x42184)))
% 92.26/92.08 [4245]E(f317(f317(f35(f904(x42451,a893),f904(x42452,a893)),x42453),f317(f317(f7(f904(x42451,a893),f904(x42451,f904(x42452,a893)),f904(x42452,a893)),f35(x42451,f904(x42452,a893))),x42454)),f317(f317(f35(x42451,f904(x42452,a893)),f32(f904(x42451,a893),x42453)),x42454))
% 92.26/92.08 [4246]E(f317(f317(f36(f904(x42461,a893),f904(x42462,a893)),x42463),f317(f317(f7(f904(x42461,a893),f904(x42461,f904(x42462,a893)),f904(x42462,a893)),f36(x42461,f904(x42462,a893))),x42464)),f317(f317(f36(x42461,f904(x42462,a893)),f32(f904(x42461,a893),x42463)),x42464))
% 92.26/92.08 [4247]E(f317(f317(f35(f904(x42471,a893),f904(x42472,a893)),x42473),f317(f317(f7(f904(x42471,a893),f904(x42471,f904(x42472,a893)),f904(x42472,a893)),f35(x42471,f904(x42472,a893))),x42474)),f317(f317(f35(x42471,f904(x42472,a893)),f32(f904(x42471,a893),x42473)),x42474))
% 92.26/92.08 [4248]E(f317(f317(f36(f904(x42481,a893),f904(x42482,a893)),x42483),f317(f317(f7(f904(x42481,a893),f904(x42481,f904(x42482,a893)),f904(x42482,a893)),f36(x42481,f904(x42482,a893))),x42484)),f317(f317(f36(x42481,f904(x42482,a893)),f32(f904(x42481,a893),x42483)),x42484))
% 92.26/92.08 [4253]E(f317(f317(f144(x42531,x42532),x42533),f317(f132(f898(x42531),f898(x42531),f124(x42531),f103(x42531)),x42534)),f317(f132(f898(x42532),f898(x42532),f124(x42532),f103(x42532)),f317(f317(f144(f898(x42531),f898(x42532)),f317(f144(x42531,x42532),x42533)),x42534)))
% 92.26/92.08 [4255]E(f175(f898(x42551),f103(x42551),f317(f317(f8(f898(x42551),f898(x42551),a897),f317(f141(x42551),x42552)),f317(f317(f7(a897,f898(x42551),f898(x42551)),f165(x42551)),x42553)),x42554),f317(f317(f165(x42551),x42554),f317(f317(f141(x42551),x42552),x42553)))
% 92.26/92.08 [4293]P1(f317(f317(f224(f904(x42931,a893)),f317(f300(x42932,x42931,x42933),f317(f301(x42932,x42931,x42933),x42934))),x42934))
% 92.26/92.08 [4295]E(f317(f300(f903(x42951,x42952),f903(x42952,x42951),f317(f247(x42951,x42952,f903(x42952,x42951)),f317(f7(x42952,x42951,f903(x42952,x42951)),f242(x42952,x42951)))),f317(f317(f244(x42951,x42952),x42953),f317(f16(f904(x42952,a893),x42951),x42954))),f317(f317(f244(x42952,x42951),x42954),f317(f16(f904(x42951,a893),x42952),x42953)))
% 92.26/92.08 [4304]E(f317(f317(f35(x43041,f904(x43042,a893)),x43043),f317(f317(f8(f904(x43041,a893),f904(x43042,a893),x43041),f275(x43041,x43042,x43044)),f317(f317(f7(x43041,f904(x43041,a893),f904(x43041,a893)),f299(x43041)),f178(f904(x43041,a893))))),f317(f275(x43041,x43042,x43044),x43043))
% 92.26/92.08 [4305]E(f317(f317(f35(x43051,f904(x43052,a893)),x43053),f317(f317(f8(f904(x43051,a893),f904(x43052,a893),x43051),f301(x43052,x43051,x43054)),f317(f317(f7(x43051,f904(x43051,a893),f904(x43051,a893)),f299(x43051)),f178(f904(x43051,a893))))),f317(f301(x43052,x43051,x43054),x43053))
% 92.26/92.08 [4380]E(f317(f317(f124(x43801),f317(f126(x43801,f317(f317(f8(a893,a893,x43801),a312),f317(a314,x43802))),x43803)),f317(f126(x43801,f317(f317(f8(a893,a893,x43801),a312),f317(a314,x43802))),x43804)),f317(f126(x43801,f317(f317(f8(a893,a893,x43801),a312),f317(a314,x43802))),f317(f317(f124(x43801),x43803),x43804)))
% 92.26/92.08 [4392]E(f317(f317(f92(f904(x43921,a893)),f317(f317(f92(f904(x43921,a893)),f317(f317(f91(f904(x43921,a893)),x43922),x43923)),f317(f317(f91(f904(x43921,a893)),x43923),x43924))),f317(f317(f91(f904(x43921,a893)),x43924),x43922)),f317(f317(f91(f904(x43921,a893)),f317(f317(f91(f904(x43921,a893)),f317(f317(f92(f904(x43921,a893)),x43922),x43923)),f317(f317(f92(f904(x43921,a893)),x43923),x43924))),f317(f317(f92(f904(x43921,a893)),x43924),x43922)))
% 92.26/92.08 [4455]E(f317(f132(f898(x44551),f898(x44551),f124(x44551),f103(x44551)),f317(f317(f144(x44552,f898(x44551)),f317(f317(f7(x44552,f898(x44551),f898(x44551)),f317(f317(f8(x44551,f904(f898(x44551),f898(x44551)),x44552),f141(x44551)),x44553)),f103(x44551))),x44554)),f317(f317(f144(x44552,x44551),x44553),x44554))
% 92.26/92.08 [4465]E(f317(f317(f80(a1,x44651),f317(f94(a1),f317(f317(f74(a1),x44652),a87))),f317(f317(f18(a1,x44651,x44651),f317(f317(f7(a1,x44651,f904(x44651,x44651)),f317(f317(f8(a893,f904(x44651,f904(x44651,x44651)),a1),f86(x44651)),a183)),x44653)),f317(f317(f8(a897,x44651,a1),x44654),a95))),f175(x44651,x44653,x44654,f317(f94(a897),x44652)))
% 92.26/92.08 [4496]E(f317(f252(x44961),f317(f317(f8(f904(x44962,a893),a893,x44961),f81(x44962)),f317(f317(f8(f904(x44962,a893),f904(x44962,a893),x44961),f317(f18(x44962,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44962),a315),f317(f317(f7(x44962,f904(x44962,a893),a893),f319(x44962)),x44963)))),f317(f7(x44962,x44961,a893),x44964)))),f317(f275(x44962,x44961,f317(f252(f903(x44962,x44961)),f317(f247(x44962,x44961,a893),x44964))),x44963))
% 92.26/92.08 [4630]~P1(f317(f317(f178(f904(x46301,f904(x46302,a893))),x46303),x46304))
% 92.26/92.08 [3956]E(f317(f317(f154(x39561),f317(f317(f124(x39561),x39562),x39563)),f317(f317(f74(a897),f317(f179(f898(x39561)),x39562)),x39564)),f317(f317(f154(x39561),x39563),x39564))
% 92.26/92.08 [3961]E(f317(f317(f128(x39611),x39612),f317(f317(f165(x39611),f317(f317(f74(a897),x39613),x39612)),x39614)),f317(f317(f165(x39611),x39613),f317(f317(f128(x39611),x39612),x39614)))
% 92.26/92.08 [4061]E(f317(f317(f91(f904(x40611,a893)),f317(f274(x40612,x40611),x40613)),f317(f274(x40612,x40611),x40614)),f317(f274(x40612,x40611),f317(f317(f91(f904(f903(x40612,x40611),a893)),x40613),x40614)))
% 92.26/92.08 [4062]E(f317(f317(f91(f904(x40621,a893)),f317(f254(x40621,x40622),x40623)),f317(f254(x40621,x40622),x40624)),f317(f254(x40621,x40622),f317(f317(f91(f904(f903(x40621,x40622),a893)),x40623),x40624)))
% 92.26/92.08 [4067]E(f317(f317(f23(f904(x40671,a893)),f317(f317(f92(f904(x40671,a893)),x40672),x40673)),x40674),f317(f317(f92(f904(x40671,a893)),x40672),f317(f317(f23(f904(x40671,a893)),x40673),x40674)))
% 92.26/92.08 [4068]E(f317(f317(f91(f904(x40681,a893)),f317(f317(f91(f904(x40681,a893)),x40682),x40683)),x40684),f317(f317(f91(f904(x40681,a893)),x40682),f317(f317(f91(f904(x40681,a893)),x40683),x40684)))
% 92.26/92.08 [4069]E(f317(f317(f92(f904(x40691,a893)),f317(f317(f92(f904(x40691,a893)),x40692),x40693)),x40694),f317(f317(f92(f904(x40691,a893)),x40692),f317(f317(f92(f904(x40691,a893)),x40693),x40694)))
% 92.26/92.08 [4106]E(f317(f317(f91(f904(f903(x41061,x41062),a893)),f317(f276(x41062,x41061),x41063)),f317(f276(x41062,x41061),x41064)),f317(f276(x41062,x41061),f317(f317(f91(f904(f903(x41062,x41061),a893)),x41063),x41064)))
% 92.26/92.08 [4107]E(f317(f317(f92(f904(f903(x41071,x41072),a893)),f317(f276(x41072,x41071),x41073)),f317(f276(x41072,x41071),x41074)),f317(f276(x41072,x41071),f317(f317(f92(f904(f903(x41072,x41071),a893)),x41073),x41074)))
% 92.26/92.08 [4120]E(f317(f317(f91(f904(x41201,f904(x41202,a893))),f233(x41202,x41201,x41203)),f233(x41202,x41201,x41204)),f233(x41202,x41201,f317(f317(f91(f904(x41202,f904(x41201,a893))),x41203),x41204)))
% 92.26/92.08 [4121]E(f317(f317(f92(f904(x41211,f904(x41212,a893))),f233(x41212,x41211,x41213)),f233(x41212,x41211,x41214)),f233(x41212,x41211,f317(f317(f92(f904(x41212,f904(x41211,a893))),x41213),x41214)))
% 92.26/92.08 [4175]E(f317(f317(f91(f904(x41751,a893)),f317(f317(f23(f904(x41751,a893)),x41752),x41753)),f317(f317(f23(f904(x41751,a893)),x41754),x41753)),f317(f317(f23(f904(x41751,a893)),f317(f317(f91(f904(x41751,a893)),x41752),x41754)),x41753))
% 92.26/92.08 [4176]E(f317(f317(f92(f904(x41761,a893)),f317(f317(f91(f904(x41761,a893)),x41762),x41763)),f317(f317(f91(f904(x41761,a893)),x41764),x41763)),f317(f317(f91(f904(x41761,a893)),f317(f317(f92(f904(x41761,a893)),x41762),x41764)),x41763))
% 92.26/92.08 [4177]E(f317(f317(f23(f904(x41771,a893)),f317(f317(f92(f904(x41771,a893)),x41772),x41773)),f317(f317(f92(f904(x41771,a893)),x41774),x41773)),f317(f317(f92(f904(x41771,a893)),f317(f317(f23(f904(x41771,a893)),x41772),x41774)),x41773))
% 92.26/92.08 [4178]E(f317(f317(f91(f904(x41781,a893)),f317(f317(f92(f904(x41781,a893)),x41782),x41783)),f317(f317(f92(f904(x41781,a893)),x41784),x41783)),f317(f317(f92(f904(x41781,a893)),f317(f317(f91(f904(x41781,a893)),x41782),x41784)),x41783))
% 92.26/92.08 [4179]E(f317(f317(f23(f904(x41791,a893)),f317(f317(f92(f904(x41791,a893)),x41792),x41793)),f317(f317(f92(f904(x41791,a893)),x41794),x41793)),f317(f317(f23(f904(x41791,a893)),f317(f317(f92(f904(x41791,a893)),x41792),x41793)),x41794))
% 92.26/92.08 [4191]E(f317(f317(f23(f904(x41911,a893)),f317(f317(f23(f904(x41911,a893)),x41912),f317(f317(f299(x41911),x41913),f178(f904(x41911,a893))))),x41914),f317(f317(f23(f904(x41911,a893)),x41912),f317(f317(f299(x41911),x41913),x41914)))
% 92.26/92.08 [4244]E(f317(f317(f91(f904(x42441,a893)),f317(f317(f299(x42441),x42442),f317(f317(f299(x42441),x42443),f178(f904(x42441,a893))))),f317(f271(x42441),x42444)),f317(f271(x42441),f317(f317(f299(f903(x42441,x42441)),f317(f317(f242(x42441,x42441),x42442),x42443)),x42444)))
% 92.26/92.08 [4269]E(f317(f317(f35(a897,f904(x42691,a893)),f317(f291(a897),x42692)),f317(f317(f8(a897,f904(x42691,a893),a897),x42693),f317(f317(f7(a897,a897,a897),f74(a897)),x42694))),f317(f317(f35(a897,f904(x42691,a893)),f293(a897,x42694,f317(f317(f74(a897),x42692),x42694))),x42693))
% 92.26/92.08 [4270]E(f164(x42701,f317(f275(x42701,x42701,x42702),f317(f317(f299(x42701),x42703),f178(f904(x42701,a893)))),f317(f275(f898(x42701),f898(x42701),f148(x42701,x42702)),f317(f317(f299(f898(x42701)),x42704),f178(f904(f898(x42701),a893))))),f317(f275(f898(x42701),f898(x42701),f148(x42701,x42702)),f317(f317(f299(f898(x42701)),f317(f317(f141(x42701),x42703),x42704)),f178(f904(f898(x42701),a893)))))
% 92.26/92.08 [4334]E(f317(f252(x43341),f317(f317(f7(x43341,f904(x43342,a893),a893),f317(f317(f8(x43342,f904(f904(x43342,a893),a893),x43341),f319(x43342)),x43343)),x43344)),f317(f301(x43341,x43342,x43343),x43344))
% 92.26/92.08 [4424]E(f317(f252(x44241),f317(f317(f7(x44241,f904(f903(x44242,x44241),a893),a893),f317(f317(f8(f903(x44242,x44241),f904(f904(f903(x44242,x44241),a893),a893),x44241),f319(f903(x44242,x44241))),f317(f242(x44242,x44241),x44243))),x44244)),f317(f275(x44242,x44241,x44244),f317(f317(f299(x44242),x44243),f178(f904(x44242,a893)))))
% 92.26/92.08 [4438]E(f317(f317(f144(f903(x44381,a897),x44381),f241(x44381,a897)),f317(f126(f903(x44381,a897),f317(f317(f8(a897,a893,f903(x44381,a897)),x44382),f317(f317(f8(a897,a897,f903(x44381,a897)),a102),f246(x44381,a897)))),f317(f317(f171(x44381,a897),x44383),x44384))),f317(f317(f144(f903(x44381,a897),x44381),f241(x44381,a897)),f317(f126(f903(x44381,a897),f317(f317(f8(a897,a893,f903(x44381,a897)),x44382),f246(x44381,a897))),f317(f317(f171(x44381,a897),x44383),f317(f317(f144(a897,a897),a102),x44384)))))
% 92.26/92.08 [4447]P1(f317(f317(f224(f904(f904(x44471,a893),a893)),f317(f317(f35(x44472,f904(f904(x44471,a893),a893)),x44473),f317(f317(f8(f904(x44471,a893),f904(f904(x44471,a893),a893),x44472),f298(x44471)),x44474))),f317(f298(x44471),f317(f317(f35(x44472,f904(x44471,a893)),x44473),x44474))))
% 92.26/92.08 [4488]E(f317(f317(f80(a1,x44881),f317(f94(a1),f317(f317(f74(a1),x44882),a87))),f317(f317(f18(a1,x44881,x44881),f317(f317(f7(a1,x44881,f904(x44881,x44881)),f317(f317(f8(a893,f904(x44881,f904(x44881,x44881)),a1),f86(x44881)),a183)),x44883)),f317(f317(f18(a1,x44881,x44881),f317(f317(f8(a897,f904(x44881,x44881),a1),x44884),a95)),f317(f317(f8(a897,x44881,a1),f174(x44881,x44883,x44884)),a95)))),f317(f174(x44881,x44883,x44884),f317(f94(a897),x44882)))
% 92.26/92.08 [4512]E(f317(f252(f903(x45121,x45122)),f317(f247(x45121,x45122,a893),f317(f317(f7(x45121,f904(x45122,a893),f904(x45122,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x45122,a893),f904(x45122,a893)),x45121),f8(a893,a893,x45122)),f317(f317(f8(a893,f904(a893,a893),x45121),a315),f317(f317(f7(x45121,f904(x45121,a893),a893),f319(x45121)),x45123)))),f317(f317(f7(x45122,f904(x45122,a893),a893),f319(x45122)),x45124)))),f219(x45121,x45122,x45123,x45124))
% 92.26/92.08 [4548]E(f317(f317(f35(x45481,f904(f903(x45481,x45482),a893)),x45483),f317(f317(f18(x45481,f904(x45482,f904(f903(x45481,x45482),a893)),f904(f903(x45481,x45482),a893)),f317(f317(f8(f904(x45482,a893),f904(f904(x45482,f904(f903(x45481,x45482),a893)),f904(f903(x45481,x45482),a893)),x45481),f35(x45482,f904(f903(x45481,x45482),a893))),x45484)),f317(f317(f7(x45481,f904(f903(x45481,x45482),a893),f904(x45482,f904(f903(x45481,x45482),a893))),f317(f317(f8(f904(x45482,f904(f904(f903(x45481,x45482),a893),f904(f903(x45481,x45482),a893))),f904(f904(f903(x45481,x45482),a893),f904(x45482,f904(f903(x45481,x45482),a893))),x45481),f7(x45482,f904(f903(x45481,x45482),a893),f904(f903(x45481,x45482),a893))),f317(f317(f8(f904(x45482,f903(x45481,x45482)),f904(x45482,f904(f904(f903(x45481,x45482),a893),f904(f903(x45481,x45482),a893))),x45481),f317(f8(f903(x45481,x45482),f904(f904(f903(x45481,x45482),a893),f904(f903(x45481,x45482),a893)),x45482),f299(f903(x45481,x45482)))),f242(x45481,x45482)))),f178(f904(f903(x45481,x45482),a893))))),f317(f317(f244(x45481,x45482),x45483),x45484))
% 92.26/92.08 [4115]E(f317(f317(f124(x41151),f317(f317(f165(x41151),x41152),x41153)),f317(f317(f165(x41151),f317(f317(f23(a897),x41152),f317(f179(f898(x41151)),x41153))),x41154)),f317(f317(f165(x41151),x41152),f317(f317(f124(x41151),x41153),x41154)))
% 92.26/92.08 [4116]E(f317(f317(f124(x41161),f317(f317(f128(x41161),x41162),x41163)),f317(f317(f128(x41161),f317(f317(f23(a897),x41162),f317(f179(f898(x41161)),x41163))),x41164)),f317(f317(f128(x41161),x41162),f317(f317(f124(x41161),x41163),x41164)))
% 92.26/92.08 [4165]E(f317(f317(f74(a897),f317(f317(f75(a897),x41651),x41652)),f317(f317(f74(a897),f317(f317(f75(a897),x41653),x41652)),x41654)),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f74(a897),x41651),x41653)),x41652)),x41654))
% 92.26/92.08 [4310]E(f84(x43101,f317(f317(f7(x43101,x43102,a893),f317(f317(f8(x43102,f904(x43102,a893),x43101),a314),x43103)),x43104)),f317(f85(x43101,x43102,f232(f904(x43101,a893)),x43103),x43104))
% 92.26/92.08 [4358]P1(f317(f317(f224(f904(x43581,a893)),f317(f317(f23(f904(x43581,a893)),f317(f274(x43582,x43581),x43583)),f317(f274(x43582,x43581),x43584))),f317(f274(x43582,x43581),f317(f317(f23(f904(f903(x43582,x43581),a893)),x43583),x43584))))
% 92.26/92.08 [4359]P1(f317(f317(f224(f904(x43591,a893)),f317(f317(f23(f904(x43591,a893)),f317(f254(x43591,x43592),x43593)),f317(f254(x43591,x43592),x43594))),f317(f254(x43591,x43592),f317(f317(f23(f904(f903(x43591,x43592),a893)),x43593),x43594))))
% 92.26/92.08 [4467]E(f317(f317(f74(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x44671),x44672)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x44673),x44674)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),f317(f317(f74(a897),x44671),x44673)),f317(f317(f74(a897),x44672),x44674))),f178(f904(f903(a897,a897),a893))))))
% 92.26/92.08 [4507]E(f317(f317(f75(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x45071),x45072)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x45073),x45074)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f75(a897),x45071),x45073)),f317(f317(f75(a897),x45072),x45074))),f317(f317(f74(a897),f317(f317(f75(a897),x45071),x45074)),f317(f317(f75(a897),x45072),x45073)))),f178(f904(f903(a897,a897),a893))))))
% 92.26/92.08 [4528]E(f317(f252(x45281),f317(f317(f8(f904(x45282,a893),a893,x45281),f82(x45282)),f317(f317(f8(f904(x45282,a893),f904(x45282,a893),x45281),f317(f18(x45282,a893,a893),f317(f317(f8(a893,f904(a893,a893),x45282),a320),f317(f317(f7(x45282,f904(x45282,a893),a893),f319(x45282)),x45283)))),f317(f317(f7(x45281,f904(x45282,f904(x45281,a893)),f904(x45282,a893)),f317(f317(f8(f904(f904(x45281,a893),a893),f904(f904(x45282,f904(x45281,a893)),f904(x45282,a893)),x45281),f8(f904(x45281,a893),a893,x45282)),f319(x45281))),x45284)))),f317(f317(f36(x45282,f904(x45281,a893)),x45283),x45284))
% 92.26/92.08 [4560]E(f317(f317(f279(x45601,x45601,x45601),f317(f317(f299(f903(x45601,x45601)),f317(f317(f242(x45601,x45601),x45602),x45603)),x45604)),f297(x45601,f317(f317(f299(f903(x45601,x45601)),f317(f317(f242(x45601,x45601),x45602),x45603)),x45604))),f317(f317(f91(f904(f903(x45601,x45601),a893)),f317(f317(f279(x45601,x45601,x45601),x45604),f297(x45601,x45604))),f317(f252(f903(x45601,x45601)),f317(f247(x45601,x45601,a893),f317(f317(f7(x45601,f904(x45601,a893),f904(x45601,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x45601,a893),f904(x45601,a893)),x45601),f8(a893,a893,x45601)),f317(f317(f8(a893,f904(a893,a893),x45601),a315),f317(f317(f7(x45601,f904(f903(x45601,x45601),a893),a893),f317(f317(f8(f903(x45601,x45601),f904(f904(f903(x45601,x45601),a893),a893),x45601),f319(f903(x45601,x45601))),f317(f317(f7(x45601,x45601,f903(x45601,x45601)),f242(x45601,x45601)),x45602))),f297(x45601,x45604))))),f317(f317(f7(x45601,f904(f903(x45601,x45601),a893),a893),f317(f317(f8(f903(x45601,x45601),f904(f904(f903(x45601,x45601),a893),a893),x45601),f319(f903(x45601,x45601))),f317(f242(x45601,x45601),x45603))),f297(x45601,x45604)))))))
% 92.26/92.08 [4360]E(f317(f126(x43601,f317(f317(f18(x43601,a893,a893),f317(f317(f8(a893,f904(a893,a893),x43601),a315),x43602)),x43603)),x43604),f317(f126(x43601,x43603),f317(f126(x43601,x43602),x43604)))
% 92.26/92.08 [4461]E(f317(f317(f124(x44611),f317(f317(f317(f86(f898(x44611)),f317(f317(f319(a897),f2(a897)),x44612)),f317(f317(f141(x44611),x44613),f103(x44611))),f103(x44611))),f166(x44611,x44614,f317(f252(a897),f317(f317(f7(a897,f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),a897),f319(a897)),a102)),x44612)))),f166(x44611,f317(f317(f141(x44611),x44613),x44614),x44612))
% 92.26/92.08 [4556]E(f317(f252(f903(x45561,x45562)),f317(f317(f8(f904(a897,a893),a893,f903(x45561,x45562)),f81(a897)),f317(f317(f7(f903(x45561,x45562),f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),f903(x45561,x45562)),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),f903(x45561,x45562)),f317(f8(a893,f904(a893,a893),a897),a315)),f317(f317(f7(f903(x45561,x45562),f904(a897,f903(x45561,x45562)),f904(a897,a893)),f317(f317(f8(f904(f903(x45561,x45562),a893),f904(f904(a897,f903(x45561,x45562)),f904(a897,a893)),f903(x45561,x45562)),f8(f903(x45561,x45562),a893,a897)),a314)),f317(f317(f18(a897,x45562,f903(x45561,x45562)),f317(f317(f8(x45561,f904(x45562,f903(x45561,x45562)),a897),f242(x45561,x45562)),f317(f154(x45561),x45563))),f317(f154(x45562),x45564)))))),f317(f317(f7(a897,a897,a893),f225(a897)),f317(f317(f228(a897),f317(f179(f898(x45561)),x45563)),f317(f179(f898(x45562)),x45564)))))),f317(f162(f903(x45561,x45562)),f317(f317(f171(x45561,x45562),x45563),x45564)))
% 92.26/92.08 [4480]E(f317(f252(f903(x44801,x44802)),f317(f247(x44801,x44802,a893),f317(f317(f7(x44801,f904(x44802,a893),f904(x44802,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x44802,a893),f904(x44802,a893)),x44801),f8(a893,a893,x44802)),f317(f317(f8(a893,f904(a893,a893),x44801),a315),x44803))),x44804))),f317(f317(f244(x44801,x44802),f317(f252(x44801),x44803)),f317(f16(f904(x44802,a893),x44801),f317(f252(x44802),x44804))))
% 92.26/92.08 [4483]E(f317(f252(f903(x44831,x44832)),f317(f247(x44831,x44832,a893),f317(f317(f18(x44831,f904(x44832,a893),f904(x44832,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x44832,a893),f904(x44832,a893)),x44831),f8(a893,a893,x44832)),f317(f317(f8(a893,f904(a893,a893),x44831),a315),x44833))),x44834))),f317(f317(f244(x44831,x44832),f317(f252(x44831),x44833)),f317(f317(f8(f904(x44832,a893),f904(x44832,a893),x44831),f252(x44832)),x44834)))
% 92.26/92.08 [4495]E(f317(f252(x44951),f317(f317(f8(f904(x44952,a893),a893,x44951),f82(x44952)),f317(f317(f8(f904(x44952,a893),f904(x44952,a893),x44951),f317(f18(x44952,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44952),a320),f317(f317(f7(x44952,f904(x44952,a893),a893),f319(x44952)),x44953)))),x44954))),f317(f317(f36(x44952,f904(x44951,a893)),x44953),f317(f317(f8(f904(x44951,a893),f904(x44951,a893),x44952),f252(x44951)),f317(f7(x44951,x44952,a893),x44954))))
% 92.26/92.08 [4540]E(f317(f317(f144(f903(x45401,a897),x45401),f241(x45401,a897)),f317(f126(f903(x45401,a897),f317(f317(f7(f903(x45401,a897),f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),f903(x45401,a897)),f319(a897)),f246(x45401,a897))),x45402)),f317(f317(f171(x45401,a897),x45403),f129(a897,f317(f292(a897,x45404),f317(f317(f74(a897),x45404),f317(f179(f898(x45401)),x45403))))))),f317(f317(f144(f903(x45401,a897),x45401),f241(x45401,a897)),f317(f126(f903(x45401,a897),f317(f317(f7(f903(x45401,a897),f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),f903(x45401,a897)),f319(a897)),f317(f317(f7(f903(x45401,a897),a897,a897),f317(f317(f8(a897,f904(a897,a897),f903(x45401,a897)),f74(a897)),f246(x45401,a897))),x45404))),x45402)),f317(f317(f171(x45401,a897),x45403),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x45401)),x45403)))))))
% 92.26/92.08 [4541]E(f317(a102,f317(f317(f223(a897),f317(f179(f898(x45411)),x45412)),f317(f132(a897,f898(x45413),f317(f7(f898(x45413),a897,a897),f317(f317(f8(a897,f904(a897,a897),f898(x45413)),f223(a897)),f317(f317(f7(f898(x45413),a897,a897),f317(f317(f8(a897,f904(a897,a897),f898(x45413)),f23(a897)),f179(f898(x45413)))),f317(a102,f2(a897))))),f2(a897)),f317(f158(f898(x45413)),f317(f126(f898(x45413),f317(f317(f8(a893,a893,f898(x45413)),a312),f317(f317(f7(f898(x45413),f898(x45413),a893),a314),f103(x45413)))),x45414))))),f317(f317(f223(a897),f317(a102,f317(f179(f898(x45411)),x45412))),f317(f132(a897,f898(x45413),f317(f7(f898(x45413),a897,a897),f317(f317(f8(a897,f904(a897,a897),f898(x45413)),f223(a897)),f179(f898(x45413)))),f2(a897)),f317(f158(f898(x45413)),x45414))))
% 92.26/92.08 [4494]E(f317(f317(f124(x44941),f166(x44941,x44942,x44943)),f166(x44941,x44944,f317(f252(a897),f317(f317(f7(a897,f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),a897),f319(a897)),f317(f317(f7(a897,a897,a897),f74(a897)),f317(f179(f898(x44941)),x44942)))),x44943)))),f166(x44941,f317(f317(f124(x44941),x44942),x44944),x44943))
% 92.26/92.08 [4542]E(f32(f904(x45421,a893),f317(f252(f904(x45421,a893)),f317(f317(f8(f904(x45422,a893),a893,f904(x45421,a893)),f81(x45422)),f317(f317(f8(f904(x45422,a893),f904(x45422,a893),f904(x45421,a893)),f317(f18(x45422,a893,a893),f317(f317(f8(a893,f904(a893,a893),x45422),a315),f317(f317(f7(x45422,f904(x45422,a893),a893),f319(x45422)),x45423)))),f317(f317(f7(f904(x45421,a893),f904(x45422,f904(x45421,a893)),f904(x45422,a893)),f317(f317(f8(f904(f904(x45421,a893),a893),f904(f904(x45422,f904(x45421,a893)),f904(x45422,a893)),f904(x45421,a893)),f8(f904(x45421,a893),a893,x45422)),a314)),x45424))))),f317(f317(f35(x45422,f904(x45421,a893)),x45423),x45424))
% 92.26/92.08 [4543]E(f33(f904(x45431,a893),f317(f252(f904(x45431,a893)),f317(f317(f8(f904(x45432,a893),a893,f904(x45431,a893)),f81(x45432)),f317(f317(f8(f904(x45432,a893),f904(x45432,a893),f904(x45431,a893)),f317(f18(x45432,a893,a893),f317(f317(f8(a893,f904(a893,a893),x45432),a315),f317(f317(f7(x45432,f904(x45432,a893),a893),f319(x45432)),x45433)))),f317(f317(f7(f904(x45431,a893),f904(x45432,f904(x45431,a893)),f904(x45432,a893)),f317(f317(f8(f904(f904(x45431,a893),a893),f904(f904(x45432,f904(x45431,a893)),f904(x45432,a893)),f904(x45431,a893)),f8(f904(x45431,a893),a893,x45432)),a314)),x45434))))),f317(f317(f36(x45432,f904(x45431,a893)),x45433),x45434))
% 92.26/92.08 [4550]E(f317(f317(f141(f898(x45501)),f317(f317(f141(x45501),x45502),f317(f132(f898(x45501),f898(x45501),f124(x45501),f103(x45501)),f317(f317(f144(f898(x45501),f898(x45501)),f146(f898(x45501),x45501,f103(x45501),f317(f317(f8(f898(x45501),f904(f898(x45501),f898(x45501)),x45501),f16(f898(x45501),f898(x45501))),f317(f317(f7(x45501,f898(x45501),f898(x45501)),f141(x45501)),f103(x45501))))),x45503)))),f169(x45501,f317(f317(f141(f898(x45501)),x45504),f317(f132(f898(f898(x45501)),f898(f898(x45501)),f124(f898(x45501)),f103(f898(x45501))),f317(f317(f144(f898(x45501),f898(f898(x45501))),f146(f898(f898(x45501)),x45501,f103(f898(x45501)),f317(f16(f904(f898(x45501),f898(f898(x45501))),x45501),f317(f317(f7(f898(x45501),f898(f898(x45501)),f898(f898(x45501))),f141(f898(x45501))),f103(f898(x45501)))))),x45503))))),f169(x45501,f317(f317(f141(f898(x45501)),f317(f317(f141(x45501),x45502),x45504)),x45503)))
% 92.26/92.08 [4557]E(f317(f252(f903(x45571,x45571)),f317(f247(x45571,x45571,a893),f317(f317(f7(x45571,f904(f903(x45572,x45572),a893),f904(x45571,a893)),f317(f317(f8(f904(x45571,f904(f904(f903(x45572,x45572),a893),a893)),f904(f904(f903(x45572,x45572),a893),f904(x45571,a893)),x45571),f7(x45571,f904(f903(x45572,x45572),a893),a893)),f317(f317(f8(f904(x45571,f903(x45572,x45572)),f904(x45571,f904(f904(f903(x45572,x45572),a893),a893)),x45571),f317(f8(f903(x45572,x45572),f904(f904(f903(x45572,x45572),a893),a893),x45571),f319(f903(x45572,x45572)))),f317(f317(f7(x45571,f904(x45571,x45572),f904(x45571,f903(x45572,x45572))),f317(f317(f8(f904(x45572,f903(x45572,x45572)),f904(f904(x45571,x45572),f904(x45571,f903(x45572,x45572))),x45571),f8(x45572,f903(x45572,x45572),x45571)),f317(f317(f8(x45572,f904(x45572,f903(x45572,x45572)),x45571),f242(x45572,x45572)),x45573))),x45573)))),x45574))),f317(f317(f278(x45572,x45571),x45574),x45573))
% 92.26/92.08 [3696]E(f317(f317(f144(x36961,x36962),x36963),f159(x36961,x36964,x36965)),f159(x36962,x36964,f317(x36963,x36965)))
% 92.26/92.08 [4027]E(f120(x40271,x40272,x40273,f116(x40271,x40274,x40275)),f116(x40272,f317(x40273,x40274),f120(x40271,x40272,x40273,x40275)))
% 92.26/92.08 [4259]E(f317(f69(x42591,x42592,x42593,x42594,x42595),x42594),x42595)
% 92.26/92.08 [4311]E(f243(x43111,x43112,x43113,f233(x43112,x43111,x43114),f233(x43113,x43112,x43115)),f233(x43113,x43111,f243(x43113,x43112,x43111,x43115,x43114)))
% 92.26/92.08 [3885]E(f317(f317(f247(x38851,x38852,x38853),x38854),x38855),f317(f317(x38854,f317(f241(x38851,x38852),x38855)),f317(f246(x38851,x38852),x38855)))
% 92.26/92.08 [3886]E(f317(f317(f247(x38861,x38862,x38863),x38864),x38865),f317(f317(x38864,f317(f241(x38861,x38862),x38865)),f317(f246(x38861,x38862),x38865)))
% 92.26/92.08 [3887]E(f317(f317(f247(x38871,x38872,x38873),x38874),x38875),f317(f317(x38874,f317(f241(x38871,x38872),x38875)),f317(f246(x38871,x38872),x38875)))
% 92.26/92.08 [3921]E(f317(f317(f317(f60(x39211,x39212,x39213),x39214),x39215),f178(f904(x39212,a893))),x39215)
% 92.26/92.08 [4198]E(f317(f67(f898(x41981),f898(x41982),f898(x41983),f317(f144(x41981,x41982),x41984)),f317(f144(x41983,x41981),x41985)),f317(f144(x41983,x41982),f317(f67(x41981,x41982,x41983,x41984),x41985)))
% 92.26/92.08 [4199]E(f317(f67(f898(x41991),f898(x41992),f898(x41993),f317(f144(x41991,x41992),x41994)),f317(f144(x41993,x41991),x41995)),f317(f144(x41993,x41992),f317(f67(x41991,x41992,x41993,x41994),x41995)))
% 92.26/92.08 [4273]E(f79(x42731,f61(x42732,x42731,x42733,x42734,x42735)),f317(f317(f59(x42732,x42731,x42733),x42734),x42735))
% 92.26/92.08 [4307]E(f317(f317(f74(a897),f317(f317(f74(a897),f317(x43071,f317(f241(x43072,x43073),x43074))),f317(x43075,f317(f246(x43072,x43073),x43074)))),f317(a102,f2(a897))),f251(x43072,x43073,x43071,x43075,x43074))
% 92.26/92.08 [3824]E(f317(f317(f165(x38241),x38242),f317(f317(f144(x38243,x38241),x38244),x38245)),f317(f317(f144(x38243,x38241),x38244),f317(f317(f165(x38243),x38242),x38245)))
% 92.26/92.08 [3825]E(f317(f317(f128(x38251),x38252),f317(f317(f144(x38253,x38251),x38254),x38255)),f317(f317(f144(x38253,x38251),x38254),f317(f317(f128(x38253),x38252),x38255)))
% 92.26/92.08 [3856]E(f317(f317(f144(x38561,x38562),x38563),f317(f317(f141(x38561),x38564),x38565)),f317(f317(f141(x38562),f317(x38563,x38564)),f317(f317(f144(x38561,x38562),x38563),x38565)))
% 92.26/92.08 [3917]E(f317(f300(x39171,x39172,x39173),f317(f317(f299(x39171),x39174),x39175)),f317(f317(f299(x39172),f317(x39173,x39174)),f317(f300(x39171,x39172,x39173),x39175)))
% 92.26/92.08 [3945]E(f163(x39451,f317(f317(f141(x39451),x39452),x39453),f317(f317(f141(x39451),x39454),x39455)),f317(f317(f141(x39451),x39452),f317(f317(f141(x39451),x39454),f163(x39451,x39453,x39455))))
% 92.26/92.08 [3982]E(f317(f317(f171(x39821,x39822),f317(f317(f165(x39821),x39823),x39824)),f317(f317(f165(x39822),x39823),x39825)),f317(f317(f165(f903(x39821,x39822)),x39823),f317(f317(f171(x39821,x39822),x39824),x39825)))
% 92.26/92.08 [3983]E(f317(f317(f171(x39831,x39832),f317(f317(f128(x39831),x39833),x39834)),f317(f317(f128(x39832),x39833),x39835)),f317(f317(f128(f903(x39831,x39832)),x39833),f317(f317(f171(x39831,x39832),x39834),x39835)))
% 92.26/92.08 [3992]E(f317(f317(f149(x39921,f317(f317(f141(x39921),x39922),x39923)),f317(a102,x39924)),x39925),f317(f317(f141(x39921),x39922),f317(f317(f149(x39921,x39923),x39924),x39925)))
% 92.26/92.08 [3995]E(f317(f317(f124(x39951),f317(f317(f144(x39952,x39951),x39953),x39954)),f317(f317(f144(x39952,x39951),x39953),x39955)),f317(f317(f144(x39952,x39951),x39953),f317(f317(f124(x39952),x39954),x39955)))
% 92.26/92.08 [3999]E(f317(f317(x39991,x39992),f317(f317(f235(x39993,x39994,x39991),x39992),x39995)),f317(f317(f235(x39993,x39994,x39991),x39992),f317(a102,x39995)))
% 92.26/92.08 [4031]E(f153(x40311,x40312,x40313,f317(f317(f141(x40311),x40314),x40315)),f317(f317(f124(x40312),f317(x40313,x40314)),f153(x40311,x40312,x40313,x40315)))
% 92.26/92.08 [4044]E(f317(f317(f279(x40441,x40442,x40443),f317(f276(x40442,x40441),x40444)),f317(f276(x40443,x40442),x40445)),f317(f276(x40443,x40441),f317(f317(f279(x40443,x40442,x40441),x40445),x40444)))
% 92.26/92.08 [4077]E(f317(f317(f317(f173(f898(x40771),f898(x40771)),x40772),f157(x40771)),f317(f317(f144(x40773,x40771),x40774),x40775)),f317(f317(f144(x40773,x40771),x40774),f317(f317(f317(f173(f898(x40773),f898(x40773)),x40772),f157(x40773)),x40775)))
% 92.26/92.08 [4078]E(f317(f317(f249(x40781,x40782,x40781,x40783),f317(f242(x40782,x40781),x40784)),x40785),f317(x40785,x40784))
% 92.26/92.08 [4101]E(f145(x41011,x41012,f317(f317(f144(x41013,x41011),x41014),x41015)),f145(x41013,f317(f67(x41011,a897,x41013,x41012),x41014),x41015))
% 92.26/92.08 [4164]E(f167(f903(x41641,x41642),f317(f67(x41642,a893,f903(x41641,x41642),x41643),f246(x41641,x41642)),f317(f317(f171(x41641,x41642),x41644),x41645)),f317(f317(f171(x41641,x41642),x41644),f167(x41642,x41643,x41645)))
% 92.26/92.08 [4169]E(f317(f300(x41691,x41692,f317(f317(f8(x41693,x41692,x41691),x41694),x41695)),f232(f904(x41691,a893))),f317(f300(x41693,x41692,x41694),f317(f300(x41691,x41693,x41695),f232(f904(x41691,a893)))))
% 92.26/92.08 [4182]E(f167(f903(x41821,x41822),f317(f67(x41821,a893,f903(x41821,x41822),x41823),f241(x41821,x41822)),f317(f317(f171(x41821,x41822),x41824),x41825)),f317(f317(f171(x41821,x41822),f167(x41821,x41823,x41824)),x41825))
% 92.26/92.08 [4203]E(f317(f317(f91(f904(x42031,a893)),f317(f301(x42031,x42032,x42033),f317(f317(f299(x42032),x42034),f178(f904(x42032,a893))))),f317(f301(x42031,x42032,x42033),x42035)),f317(f301(x42031,x42032,x42033),f317(f317(f299(x42032),x42034),x42035)))
% 92.26/92.08 [4258]E(f317(f317(f124(f903(x42581,x42582)),f317(f317(f144(x42582,f903(x42581,x42582)),f317(f242(x42581,x42582),x42583)),x42584)),f55(x42581,x42582,x42585,x42584)),f55(x42581,x42582,f317(f317(f141(x42581),x42583),x42585),x42584))
% 92.26/92.08 [4260]E(f317(f317(f144(x42601,x42602),x42603),f167(x42601,f317(f67(x42602,a893,x42601,x42604),x42603),x42605)),f167(x42602,x42604,f317(f317(f144(x42601,x42602),x42603),x42605)))
% 92.26/92.08 [4265]E(f317(f132(x42651,x42652,f317(f7(x42652,x42651,x42651),f317(f7(x42651,x42652,x42651),x42653)),x42654),f317(f158(x42652),f317(f158(x42652),x42655))),f317(f132(x42651,x42652,x42653,x42654),x42655))
% 92.26/92.08 [4368]P1(f317(f317(f224(f904(x43681,a893)),f317(f300(x43682,x43681,x43683),f317(f317(f92(f904(x43682,a893)),x43684),x43685))),f317(f317(f92(f904(x43681,a893)),f317(f300(x43682,x43681,x43683),x43684)),f317(f300(x43682,x43681,x43683),x43685))))
% 92.26/92.08 [4369]P1(f317(f317(f224(f904(x43691,a893)),f317(f275(x43692,x43691,x43693),f317(f317(f92(f904(x43692,a893)),x43694),x43695))),f317(f317(f92(f904(x43691,a893)),f317(f275(x43692,x43691,x43693),x43694)),f317(f275(x43692,x43691,x43693),x43695))))
% 92.26/92.08 [4468]E(f317(f246(x44681,x44682),f317(f248(x44683,x44681,x44682,x44682,x44684,f25(x44682)),x44685)),f317(f246(x44683,x44682),x44685))
% 92.26/92.08 [4469]E(f317(f241(x44691,x44692),f317(f248(x44691,x44691,x44693,x44692,f25(x44691),x44694),x44695)),f317(f241(x44691,x44693),x44695))
% 92.26/92.08 [4472]E(f317(f241(x44721,x44722),f317(f248(x44723,x44721,x44722,x44722,x44724,f25(x44722)),x44725)),f317(x44724,f317(f241(x44723,x44722),x44725)))
% 92.26/92.08 [4473]E(f317(f246(x44731,x44732),f317(f248(x44731,x44731,x44733,x44732,f25(x44731),x44734),x44735)),f317(x44734,f317(f246(x44731,x44733),x44735)))
% 92.26/92.08 [3668]E(f317(f317(f317(f317(f194(x36681),x36682),x36683),x36684),x36685),f182(x36681,x36682))
% 92.26/92.08 [3669]E(f317(f317(f317(f317(f198(x36691),x36692),x36693),x36694),x36695),f189(x36691,x36692))
% 92.26/92.08 [4032]E(f317(f317(f35(x40321,f904(x40322,a893)),f317(f317(f299(x40321),x40323),x40324)),x40325),f317(f317(f91(f904(x40322,a893)),f317(x40325,x40323)),f317(f317(f35(x40321,f904(x40322,a893)),x40324),x40325)))
% 92.26/92.08 [4033]E(f317(f317(f36(x40331,f904(x40332,a893)),f317(f317(f299(x40331),x40333),x40334)),x40335),f317(f317(f92(f904(x40332,a893)),f317(x40335,x40333)),f317(f317(f36(x40331,f904(x40332,a893)),x40334),x40335)))
% 92.26/92.08 [4085]E(f317(f108(x40851,x40852,f317(x40853,x40854)),f317(f317(f7(x40851,a89,f899(x40852)),x40855),x40854)),f317(f187(x40851,x40852,x40853,x40855),x40854))
% 92.26/92.08 [4095]E(f317(f317(f91(f904(x40951,a893)),f317(f300(x40952,x40951,x40953),x40954)),f317(f300(x40952,x40951,x40953),x40955)),f317(f300(x40952,x40951,x40953),f317(f317(f91(f904(x40952,a893)),x40954),x40955)))
% 92.26/92.08 [4096]E(f317(f317(f91(f904(x40961,a893)),f317(f275(x40962,x40961,x40963),x40964)),f317(f275(x40962,x40961,x40963),x40965)),f317(f275(x40962,x40961,x40963),f317(f317(f91(f904(x40962,a893)),x40964),x40965)))
% 92.26/92.08 [4097]E(f317(f317(f23(f904(x40971,a893)),f317(f301(x40971,x40972,x40973),x40974)),f317(f301(x40971,x40972,x40973),x40975)),f317(f301(x40971,x40972,x40973),f317(f317(f23(f904(x40972,a893)),x40974),x40975)))
% 92.26/92.08 [4098]E(f317(f317(f91(f904(x40981,a893)),f317(f301(x40981,x40982,x40983),x40984)),f317(f301(x40981,x40982,x40983),x40985)),f317(f301(x40981,x40982,x40983),f317(f317(f91(f904(x40982,a893)),x40984),x40985)))
% 92.26/92.08 [4099]E(f317(f317(f92(f904(x40991,a893)),f317(f301(x40991,x40992,x40993),x40994)),f317(f301(x40991,x40992,x40993),x40995)),f317(f301(x40991,x40992,x40993),f317(f317(f92(f904(x40992,a893)),x40994),x40995)))
% 92.26/92.08 [4160]E(f317(f317(f149(x41601,f317(f317(f124(x41601),x41602),f317(f317(f141(x41601),x41603),x41604))),f317(f179(f898(x41601)),x41602)),x41605),f317(f317(f124(x41601),x41602),f317(f317(f141(x41601),x41605),x41604)))
% 92.26/92.08 [4166]E(f317(f317(f36(x41661,f904(x41662,a893)),x41663),f317(f317(f8(f904(x41662,a893),f904(x41662,a893),x41661),f317(f299(x41662),x41664)),x41665)),f317(f317(f299(x41662),x41664),f317(f317(f36(x41661,f904(x41662,a893)),x41663),x41665)))
% 92.26/92.08 [4167]E(f317(f317(f36(x41671,f904(x41672,a893)),x41673),f317(f317(f8(f904(x41672,a893),f904(x41672,a893),x41671),f317(f299(x41672),x41674)),x41675)),f317(f317(f299(x41672),x41674),f317(f317(f36(x41671,f904(x41672,a893)),x41673),x41675)))
% 92.26/92.08 [4275]E(f317(f317(f23(f904(f903(x42751,x42752),a893)),f317(f317(f244(x42751,x42752),x42753),f317(f16(f904(x42752,a893),x42751),x42754))),f317(f317(f244(x42751,x42752),x42755),f317(f16(f904(x42752,a893),x42751),x42754))),f317(f317(f244(x42751,x42752),f317(f317(f23(f904(x42751,a893)),x42753),x42755)),f317(f16(f904(x42752,a893),x42751),x42754)))
% 92.26/92.08 [4276]E(f317(f317(f91(f904(f903(x42761,x42762),a893)),f317(f317(f244(x42761,x42762),x42763),f317(f16(f904(x42762,a893),x42761),x42764))),f317(f317(f244(x42761,x42762),x42765),f317(f16(f904(x42762,a893),x42761),x42764))),f317(f317(f244(x42761,x42762),f317(f317(f91(f904(x42761,a893)),x42763),x42765)),f317(f16(f904(x42762,a893),x42761),x42764)))
% 92.26/92.08 [4277]E(f317(f317(f92(f904(f903(x42771,x42772),a893)),f317(f317(f244(x42771,x42772),x42773),f317(f16(f904(x42772,a893),x42771),x42774))),f317(f317(f244(x42771,x42772),x42775),f317(f16(f904(x42772,a893),x42771),x42774))),f317(f317(f244(x42771,x42772),f317(f317(f92(f904(x42771,a893)),x42773),x42775)),f317(f16(f904(x42772,a893),x42771),x42774)))
% 92.26/92.08 [4320]E(f317(f317(f144(x43201,x43202),x43203),f317(f126(x43201,f317(f67(x43202,a893,x43201,x43204),x43203)),x43205)),f317(f126(x43202,x43204),f317(f317(f144(x43201,x43202),x43203),x43205)))
% 92.26/92.08 [4326]E(f317(f179(f898(x43261)),f317(f126(x43261,x43262),f317(f317(f144(x43263,x43261),x43264),x43265))),f317(f179(f898(x43263)),f317(f126(x43263,f317(f67(x43261,a893,x43263,x43262),x43264)),x43265)))
% 92.26/92.08 [4533]E(f317(f146(f898(f903(x45331,x45332)),x45332,f103(f903(x45331,x45332)),f317(f317(f7(x45332,f904(f898(x45332),f898(f903(x45331,x45332))),f904(f898(x45332),f898(f903(x45331,x45332)))),f317(f317(f8(f904(f898(f903(x45331,x45332)),f898(f903(x45331,x45332))),f904(f904(f898(x45332),f898(f903(x45331,x45332))),f904(f898(x45332),f898(f903(x45331,x45332)))),x45332),f8(f898(f903(x45331,x45332)),f898(f903(x45331,x45332)),f898(x45332))),f317(f317(f8(f903(x45331,x45332),f904(f898(f903(x45331,x45332)),f898(f903(x45331,x45332))),x45332),f141(f903(x45331,x45332))),f317(f242(x45331,x45332),x45333)))),f317(f171(x45331,x45332),x45334))),x45335),f317(f317(f171(x45331,x45332),f317(f317(f141(x45331),x45333),x45334)),x45335))
% 92.26/92.08 [4024]E(f317(f317(f149(x40241,f317(f317(f149(x40241,x40242),x40243),x40244)),x40243),x40245),f317(f317(f149(x40241,x40242),x40243),x40245))
% 92.26/92.08 [4079]E(f317(f274(x40791,x40792),f317(f317(f299(f903(x40791,x40792)),f317(f317(f242(x40791,x40792),x40793),x40794)),x40795)),f317(f317(f299(x40792),x40794),f317(f274(x40791,x40792),x40795)))
% 92.26/92.08 [4080]E(f317(f254(x40801,x40802),f317(f317(f299(f903(x40801,x40802)),f317(f317(f242(x40801,x40802),x40803),x40804)),x40805)),f317(f317(f299(x40801),x40803),f317(f254(x40801,x40802),x40805)))
% 92.26/92.08 [4125]E(f112(x41251,x41252,f317(x41253,x41254),f317(f317(f7(x41251,a89,f899(f900(x41252))),x41255),x41254)),f317(f185(x41251,x41252,x41253,x41255),x41254))
% 92.26/92.08 [4153]E(f317(f317(f23(f904(f903(x41531,x41532),a893)),f317(f317(f244(x41531,x41532),x41533),x41534)),f317(f317(f244(x41531,x41532),x41535),x41534)),f317(f317(f244(x41531,x41532),f317(f317(f23(f904(x41531,a893)),x41533),x41535)),x41534))
% 92.26/92.08 [4154]E(f317(f317(f91(f904(f903(x41541,x41542),a893)),f317(f317(f244(x41541,x41542),x41543),x41544)),f317(f317(f244(x41541,x41542),x41545),x41544)),f317(f317(f244(x41541,x41542),f317(f317(f91(f904(x41541,a893)),x41543),x41545)),x41544))
% 92.26/92.08 [4155]E(f317(f317(f92(f904(f903(x41551,x41552),a893)),f317(f317(f244(x41551,x41552),x41553),x41554)),f317(f317(f244(x41551,x41552),x41555),x41554)),f317(f317(f244(x41551,x41552),f317(f317(f92(f904(x41551,a893)),x41553),x41555)),x41554))
% 92.26/92.08 [4214]E(f317(f317(f91(f904(x42141,a893)),f317(f317(f35(x42142,f904(x42141,a893)),x42143),x42144)),f317(f317(f35(x42142,f904(x42141,a893)),x42145),x42144)),f317(f317(f35(x42142,f904(x42141,a893)),f317(f317(f91(f904(x42142,a893)),x42143),x42145)),x42144))
% 92.26/92.08 [4215]E(f317(f317(f92(f904(x42151,a893)),f317(f317(f36(x42152,f904(x42151,a893)),x42153),x42154)),f317(f317(f36(x42152,f904(x42151,a893)),x42155),x42154)),f317(f317(f36(x42152,f904(x42151,a893)),f317(f317(f91(f904(x42152,a893)),x42153),x42155)),x42154))
% 92.26/92.08 [4224]E(f317(f317(f35(x42241,f904(x42242,a893)),x42243),f317(f317(f8(f904(x42242,a893),f904(x42242,a893),x42241),f317(f23(f904(x42242,a893)),x42244)),x42245)),f317(f317(f23(f904(x42242,a893)),x42244),f317(f317(f36(x42241,f904(x42242,a893)),x42243),x42245)))
% 92.26/92.08 [4225]E(f317(f317(f36(x42251,f904(x42252,a893)),x42253),f317(f317(f8(f904(x42252,a893),f904(x42252,a893),x42251),f317(f91(f904(x42252,a893)),x42254)),x42255)),f317(f317(f91(f904(x42252,a893)),x42254),f317(f317(f36(x42251,f904(x42252,a893)),x42253),x42255)))
% 92.26/92.08 [4226]E(f317(f317(f36(x42261,f904(x42262,a893)),x42263),f317(f317(f8(f904(x42262,a893),f904(x42262,a893),x42261),f317(f91(f904(x42262,a893)),x42264)),x42265)),f317(f317(f91(f904(x42262,a893)),x42264),f317(f317(f36(x42261,f904(x42262,a893)),x42263),x42265)))
% 92.26/92.08 [4227]E(f317(f317(f35(x42271,f904(x42272,a893)),x42273),f317(f317(f8(f904(x42272,a893),f904(x42272,a893),x42271),f317(f92(f904(x42272,a893)),x42274)),x42275)),f317(f317(f92(f904(x42272,a893)),x42274),f317(f317(f35(x42271,f904(x42272,a893)),x42273),x42275)))
% 92.26/92.08 [4228]E(f317(f317(f35(x42281,f904(x42282,a893)),x42283),f317(f317(f8(f904(x42282,a893),f904(x42282,a893),x42281),f317(f92(f904(x42282,a893)),x42284)),x42285)),f317(f317(f92(f904(x42282,a893)),x42284),f317(f317(f35(x42281,f904(x42282,a893)),x42283),x42285)))
% 92.26/92.08 [4229]E(f317(f317(f35(x42291,f904(x42292,a893)),x42293),f317(f317(f8(f904(x42292,a893),f904(x42292,a893),x42291),f317(f23(f904(x42292,a893)),x42294)),x42295)),f317(f317(f23(f904(x42292,a893)),x42294),f317(f317(f36(x42291,f904(x42292,a893)),x42293),x42295)))
% 92.26/92.08 [4230]E(f317(f317(f35(x42301,f904(x42302,a893)),x42303),f317(f317(f8(f904(x42302,a893),f904(x42302,a893),x42301),f317(f92(f904(x42302,a893)),x42304)),x42305)),f317(f317(f92(f904(x42302,a893)),x42304),f317(f317(f35(x42301,f904(x42302,a893)),x42303),x42305)))
% 92.26/92.08 [4231]E(f317(f317(f36(x42311,f904(x42312,a893)),x42313),f317(f317(f8(f904(x42312,a893),f904(x42312,a893),x42311),f317(f91(f904(x42312,a893)),x42314)),x42315)),f317(f317(f91(f904(x42312,a893)),x42314),f317(f317(f36(x42311,f904(x42312,a893)),x42313),x42315)))
% 92.26/92.08 [4285]E(f175(f898(x42851),f317(f317(f141(x42851),x42852),x42853),f317(f317(f8(f898(x42851),f898(x42851),a897),f317(f141(x42851),x42854)),f317(f317(f7(a897,x42851,f898(x42851)),f149(x42851,x42853)),x42852)),x42855),f317(f317(f149(x42851,f317(f317(f141(x42851),x42854),x42853)),x42855),x42852))
% 92.26/92.08 [4289]E(f317(f317(f35(x42891,f904(f903(x42892,x42893),a893)),x42894),f317(f317(f8(f904(f903(x42893,x42892),a893),f904(f903(x42892,x42893),a893),x42891),f276(x42893,x42892)),x42895)),f317(f276(x42893,x42892),f317(f317(f35(x42891,f904(f903(x42893,x42892),a893)),x42894),x42895)))
% 92.26/92.08 [4290]E(f317(f317(f36(x42901,f904(f903(x42902,x42903),a893)),x42904),f317(f317(f8(f904(f903(x42903,x42902),a893),f904(f903(x42902,x42903),a893),x42901),f276(x42903,x42902)),x42905)),f317(f276(x42903,x42902),f317(f317(f36(x42901,f904(f903(x42903,x42902),a893)),x42904),x42905)))
% 92.26/92.08 [4391]P1(f317(f317(f224(f904(x43911,a893)),f317(f317(f23(f904(x43911,a893)),f317(f300(x43912,x43911,x43913),x43914)),f317(f300(x43912,x43911,x43913),x43915))),f317(f300(x43912,x43911,x43913),f317(f317(f23(f904(x43912,a893)),x43914),x43915))))
% 92.26/92.08 [4536]E(f317(f146(f898(f903(x45361,x45362)),x45361,f103(f903(x45361,x45362)),f317(f317(f7(x45361,f904(f898(x45361),f898(f903(x45361,x45362))),f904(f898(x45361),f898(f903(x45361,x45362)))),f317(f317(f8(f904(f898(f903(x45361,x45362)),f898(f903(x45361,x45362))),f904(f904(f898(x45361),f898(f903(x45361,x45362))),f904(f898(x45361),f898(f903(x45361,x45362)))),x45361),f8(f898(f903(x45361,x45362)),f898(f903(x45361,x45362)),f898(x45361))),f317(f317(f8(f903(x45361,x45362),f904(f898(f903(x45361,x45362)),f898(f903(x45361,x45362))),x45361),f141(f903(x45361,x45362))),f317(f317(f7(x45361,x45362,f903(x45361,x45362)),f242(x45361,x45362)),x45363)))),f317(f317(f7(f898(x45361),f898(x45362),f898(f903(x45361,x45362))),f171(x45361,x45362)),x45364))),x45365),f317(f317(f171(x45361,x45362),x45365),f317(f317(f141(x45362),x45363),x45364)))
% 92.26/92.08 [4254]E(f317(f317(f91(f904(x42541,a893)),f317(f275(x42542,x42541,x42543),x42544)),f317(f275(x42542,x42541,x42545),x42544)),f317(f275(x42542,x42541,f317(f317(f91(f904(f903(x42542,x42541),a893)),x42543),x42545)),x42544))
% 92.26/92.08 [4291]E(f317(f317(f124(f903(x42911,x42912)),f317(f317(f171(x42911,x42912),x42913),f317(f317(f165(x42912),f317(f179(f898(x42911)),x42913)),x42914))),f317(f317(f171(x42911,x42912),x42915),f317(f317(f128(x42912),f317(f179(f898(x42911)),x42913)),x42914))),f317(f317(f171(x42911,x42912),f317(f317(f124(x42911),x42913),x42915)),x42914))
% 92.26/92.08 [4394]E(f317(f317(f244(x43941,x43942),x43943),f317(f317(f18(x43941,f904(x43942,a893),f904(x43942,a893)),f317(f317(f8(f904(x43942,a893),f904(f904(x43942,a893),f904(x43942,a893)),x43941),f23(f904(x43942,a893))),x43944)),x43945)),f317(f317(f23(f904(f903(x43941,x43942),a893)),f317(f317(f244(x43941,x43942),x43943),x43944)),f317(f317(f244(x43941,x43942),x43943),x43945)))
% 92.26/92.08 [4395]E(f317(f317(f244(x43951,x43952),x43953),f317(f317(f18(x43951,f904(x43952,a893),f904(x43952,a893)),f317(f317(f8(f904(x43952,a893),f904(f904(x43952,a893),f904(x43952,a893)),x43951),f91(f904(x43952,a893))),x43954)),x43955)),f317(f317(f91(f904(f903(x43951,x43952),a893)),f317(f317(f244(x43951,x43952),x43953),x43954)),f317(f317(f244(x43951,x43952),x43953),x43955)))
% 92.26/92.08 [4396]E(f317(f317(f244(x43961,x43962),x43963),f317(f317(f18(x43961,f904(x43962,a893),f904(x43962,a893)),f317(f317(f8(f904(x43962,a893),f904(f904(x43962,a893),f904(x43962,a893)),x43961),f92(f904(x43962,a893))),x43964)),x43965)),f317(f317(f92(f904(f903(x43961,x43962),a893)),f317(f317(f244(x43961,x43962),x43963),x43964)),f317(f317(f244(x43961,x43962),x43963),x43965)))
% 92.26/92.08 [4397]E(f317(f317(f35(x43971,f904(x43972,a893)),x43973),f317(f317(f7(x43971,f904(x43972,a893),f904(x43972,a893)),f317(f317(f8(f904(x43972,a893),f904(f904(x43972,a893),f904(x43972,a893)),x43971),f23(f904(x43972,a893))),x43974)),x43975)),f317(f317(f23(f904(x43972,a893)),f317(f317(f35(x43971,f904(x43972,a893)),x43973),x43974)),x43975))
% 92.26/92.08 [4398]E(f317(f317(f36(x43981,f904(x43982,a893)),x43983),f317(f317(f7(x43981,f904(x43982,a893),f904(x43982,a893)),f317(f317(f8(f904(x43982,a893),f904(f904(x43982,a893),f904(x43982,a893)),x43981),f91(f904(x43982,a893))),x43984)),x43985)),f317(f317(f91(f904(x43982,a893)),f317(f317(f36(x43981,f904(x43982,a893)),x43983),x43984)),x43985))
% 92.26/92.08 [4399]E(f317(f317(f35(x43991,f904(x43992,a893)),x43993),f317(f317(f7(x43991,f904(x43992,a893),f904(x43992,a893)),f317(f317(f8(f904(x43992,a893),f904(f904(x43992,a893),f904(x43992,a893)),x43991),f92(f904(x43992,a893))),x43994)),x43995)),f317(f317(f92(f904(x43992,a893)),f317(f317(f35(x43991,f904(x43992,a893)),x43993),x43994)),x43995))
% 92.26/92.08 [4400]E(f317(f317(f35(x44001,f904(x44002,a893)),x44003),f317(f317(f7(x44001,f904(x44002,a893),f904(x44002,a893)),f317(f317(f8(f904(x44002,a893),f904(f904(x44002,a893),f904(x44002,a893)),x44001),f23(f904(x44002,a893))),x44004)),x44005)),f317(f317(f23(f904(x44002,a893)),f317(f317(f35(x44001,f904(x44002,a893)),x44003),x44004)),x44005))
% 92.26/92.08 [4401]E(f317(f317(f35(x44011,f904(x44012,a893)),x44013),f317(f317(f7(x44011,f904(x44012,a893),f904(x44012,a893)),f317(f317(f8(f904(x44012,a893),f904(f904(x44012,a893),f904(x44012,a893)),x44011),f92(f904(x44012,a893))),x44014)),x44015)),f317(f317(f92(f904(x44012,a893)),f317(f317(f35(x44011,f904(x44012,a893)),x44013),x44014)),x44015))
% 92.26/92.08 [4402]E(f317(f317(f36(x44021,f904(x44022,a893)),x44023),f317(f317(f7(x44021,f904(x44022,a893),f904(x44022,a893)),f317(f317(f8(f904(x44022,a893),f904(f904(x44022,a893),f904(x44022,a893)),x44021),f91(f904(x44022,a893))),x44024)),x44025)),f317(f317(f91(f904(x44022,a893)),f317(f317(f36(x44021,f904(x44022,a893)),x44023),x44024)),x44025))
% 92.26/92.08 [4406]E(f317(f317(f35(x44061,f904(x44062,a893)),x44063),f317(f317(f18(x44061,f904(x44062,a893),f904(x44062,a893)),f317(f317(f8(f904(x44062,a893),f904(f904(x44062,a893),f904(x44062,a893)),x44061),f91(f904(x44062,a893))),x44064)),x44065)),f317(f317(f91(f904(x44062,a893)),f317(f317(f35(x44061,f904(x44062,a893)),x44063),x44064)),f317(f317(f35(x44061,f904(x44062,a893)),x44063),x44065)))
% 92.26/92.08 [4407]E(f317(f317(f36(x44071,f904(x44072,a893)),x44073),f317(f317(f18(x44071,f904(x44072,a893),f904(x44072,a893)),f317(f317(f8(f904(x44072,a893),f904(f904(x44072,a893),f904(x44072,a893)),x44071),f92(f904(x44072,a893))),x44074)),x44075)),f317(f317(f92(f904(x44072,a893)),f317(f317(f36(x44071,f904(x44072,a893)),x44073),x44074)),f317(f317(f36(x44071,f904(x44072,a893)),x44073),x44075)))
% 92.26/92.08 [4420]E(f317(f317(f35(x44201,f904(x44202,a893)),x44203),f317(f317(f18(x44201,f904(x44202,a893),f904(x44202,a893)),f317(f317(f8(f904(x44202,a893),f904(f904(x44202,a893),f904(x44202,a893)),x44201),f91(f904(x44202,a893))),x44204)),x44205)),f317(f317(f91(f904(x44202,a893)),f32(f904(x44202,a893),f317(f300(x44201,f904(x44202,a893),x44204),x44203))),f32(f904(x44202,a893),f317(f300(x44201,f904(x44202,a893),x44205),x44203))))
% 92.26/92.08 [4421]E(f317(f317(f36(x44211,f904(x44212,a893)),x44213),f317(f317(f18(x44211,f904(x44212,a893),f904(x44212,a893)),f317(f317(f8(f904(x44212,a893),f904(f904(x44212,a893),f904(x44212,a893)),x44211),f92(f904(x44212,a893))),x44214)),x44215)),f317(f317(f92(f904(x44212,a893)),f33(f904(x44212,a893),f317(f300(x44211,f904(x44212,a893),x44214),x44213))),f33(f904(x44212,a893),f317(f300(x44211,f904(x44212,a893),x44215),x44213))))
% 92.26/92.08 [4457]E(f317(f317(f128(x44571),f317(f179(f898(x44571)),f167(x44571,x44572,f317(f317(f144(x44573,x44571),x44574),x44575)))),f317(f317(f144(x44573,x44571),x44574),x44575)),f317(f317(f144(x44573,x44571),x44574),f317(f317(f128(x44573),f317(f179(f898(x44573)),f167(x44573,f317(f67(x44571,a893,x44573,x44572),x44574),x44575))),x44575)))
% 92.26/92.08 [4333]E(f317(f317(f124(f903(x43331,x43332)),f317(f317(f171(x43331,x43332),f317(f317(f165(x43331),f317(f179(f898(x43332)),x43333)),x43334)),x43333)),f317(f317(f171(x43331,x43332),f317(f317(f128(x43331),f317(f179(f898(x43332)),x43333)),x43334)),x43335)),f317(f317(f171(x43331,x43332),x43334),f317(f317(f124(x43332),x43333),x43335)))
% 92.26/92.08 [4448]E(f79(x44481,f317(f317(f18(x44481,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44481),a315),f317(f317(f7(x44481,f904(x44481,a893),a893),f319(x44481)),x44482))),f317(f317(f7(x44481,x44483,a893),f317(f317(f8(x44483,f904(x44483,a893),x44481),a314),x44484)),x44485))),f317(f71(x44481,x44483,x44482,x44484),x44485))
% 92.26/92.08 [4449]E(f84(x44491,f317(f317(f18(x44491,a893,a893),f317(f317(f8(a893,f904(a893,a893),x44491),a315),f317(f317(f7(x44491,f904(x44491,a893),a893),f319(x44491)),x44492))),f317(f317(f7(x44491,x44493,a893),f317(f317(f8(x44493,f904(x44493,a893),x44491),a314),x44494)),x44495))),f317(f85(x44491,x44493,x44492,x44494),x44495))
% 92.26/92.08 [4497]E(f317(f317(f80(a1,x44971),f317(f94(a1),f317(f317(f74(a1),x44972),a87))),f317(f317(f18(a1,x44971,x44971),f317(f317(f7(a1,x44971,f904(x44971,x44971)),f317(f317(f8(a893,f904(x44971,f904(x44971,x44971)),a1),f86(x44971)),a183)),f175(x44971,x44973,x44974,x44975))),f317(f317(f8(a897,x44971,a1),x44974),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f904(a897,a897),a1),f74(a897)),a95)),x44975)))),f175(x44971,x44973,x44974,f317(f317(f74(a897),f317(f94(a897),x44972)),x44975)))
% 92.26/92.08 [4532]E(f317(f317(f80(a1,x45321),f317(f94(a1),f317(f317(f74(a1),x45322),a87))),f317(f317(f18(a1,x45321,x45321),f317(f317(f7(a1,x45321,f904(x45321,x45321)),f317(f317(f8(a893,f904(x45321,f904(x45321,x45321)),a1),f86(x45321)),a183)),f317(f174(x45321,x45323,x45324),x45325))),f317(f317(f18(a1,x45321,x45321),f317(f317(f8(a897,f904(x45321,x45321),a1),x45324),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f904(a897,a897),a1),f74(a897)),a95)),x45325))),f317(f317(f8(a897,x45321,a1),f174(x45321,x45323,x45324)),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f904(a897,a897),a1),f74(a897)),a95)),x45325))))),f317(f174(x45321,x45323,x45324),f317(f317(f74(a897),f317(f94(a897),x45322)),x45325)))
% 92.26/92.08 [4565]E(f317(f252(f903(x45651,x45652)),f317(f247(x45651,x45652,a893),f317(f317(f8(f904(x45652,f904(x45653,a893)),f904(x45652,a893),x45651),f317(f8(f904(x45653,a893),a893,x45652),f81(x45653))),f317(f317(f7(x45651,f904(x45652,f904(x45653,a893)),f904(x45652,f904(x45653,a893))),f317(f317(f8(f904(f904(x45653,a893),f904(x45653,a893)),f904(f904(x45652,f904(x45653,a893)),f904(x45652,f904(x45653,a893))),x45651),f8(f904(x45653,a893),f904(x45653,a893),x45652)),f317(f317(f8(f904(x45653,f904(a893,a893)),f904(f904(x45653,a893),f904(x45653,a893)),x45651),f18(x45653,a893,a893)),f317(f317(f8(f904(x45653,a893),f904(x45653,f904(a893,a893)),x45651),f317(f8(a893,f904(a893,a893),x45653),a315)),f317(f317(f7(x45651,f904(f903(x45651,x45653),a893),f904(x45653,a893)),f317(f317(f8(f904(x45653,f904(f904(f903(x45651,x45653),a893),a893)),f904(f904(f903(x45651,x45653),a893),f904(x45653,a893)),x45651),f7(x45653,f904(f903(x45651,x45653),a893),a893)),f317(f317(f8(f904(x45653,f903(x45651,x45653)),f904(x45653,f904(f904(f903(x45651,x45653),a893),a893)),x45651),f317(f8(f903(x45651,x45653),f904(f904(f903(x45651,x45653),a893),a893),x45653),f319(f903(x45651,x45653)))),f242(x45651,x45653)))),x45654))))),f317(f317(f7(x45652,f904(f903(x45653,x45652),a893),f904(x45653,a893)),f317(f317(f8(f904(x45653,f904(f904(f903(x45653,x45652),a893),a893)),f904(f904(f903(x45653,x45652),a893),f904(x45653,a893)),x45652),f7(x45653,f904(f903(x45653,x45652),a893),a893)),f317(f317(f8(f904(x45653,f903(x45653,x45652)),f904(x45653,f904(f904(f903(x45653,x45652),a893),a893)),x45652),f317(f8(f903(x45653,x45652),f904(f904(f903(x45653,x45652),a893),a893),x45653),f319(f903(x45653,x45652)))),f317(f7(x45653,x45652,f903(x45653,x45652)),f242(x45653,x45652))))),x45655))))),f317(f317(f279(x45651,x45653,x45652),x45654),x45655))
% 92.26/92.08 [4183]E(f214(x41831,x41832,x41833,x41834,f210(x41831,x41832,x41835,x41836)),f317(f317(x41834,x41835),x41836))
% 92.26/92.08 [4184]E(f215(x41841,x41842,x41843,x41844,f210(x41841,x41842,x41845,x41846)),f317(f317(x41844,x41845),x41846))
% 92.26/92.08 [4309]E(f117(x43091,x43092,x43093,x43094,f116(x43092,x43095,x43096)),f317(f317(f317(x43094,x43095),x43096),f117(x43091,x43092,x43093,x43094,x43096)))
% 92.26/92.08 [4328]E(f69(x43281,x43282,f69(x43281,x43282,x43283,x43284,x43285),x43284,x43286),f69(x43281,x43282,x43283,x43284,x43286))
% 92.26/92.08 [4436]E(f317(f67(f903(x44361,x44362),x44362,f903(x44363,x44364),f246(x44361,x44362)),f248(x44363,x44361,x44364,x44362,x44365,x44366)),f317(f67(x44364,x44362,f903(x44363,x44364),x44366),f246(x44363,x44364)))
% 92.26/92.08 [4437]E(f317(f67(f903(x44371,x44372),x44371,f903(x44373,x44374),f241(x44371,x44372)),f248(x44373,x44371,x44374,x44372,x44375,x44376)),f317(f67(x44373,x44371,f903(x44373,x44374),x44375),f241(x44373,x44374)))
% 92.26/92.08 [4053]E(f317(f317(f67(x40531,x40532,x40533,x40534),x40535),x40536),f317(x40534,f317(x40535,x40536)))
% 92.26/92.08 [4054]E(f317(f317(f67(x40541,x40542,x40543,x40544),x40545),x40546),f317(x40544,f317(x40545,x40546)))
% 92.26/92.08 [4193]E(f213(x41931,f903(x41932,f899(x41932)),x41933,f317(f247(x41932,f899(x41932),x41931),x41934),f317(f125(x41932),f116(x41932,x41935,x41936))),f317(f317(x41934,x41935),x41936))
% 92.26/92.08 [4243]E(f216(x42431,x42432,x42433,x42434,f210(x42431,x42432,x42435,x42436)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x42433,x42435)),f317(x42434,x42436))),f317(a102,f2(a897))))
% 92.26/92.08 [3852]E(f317(f317(f247(x38521,x38522,x38523),x38524),f317(f317(f242(x38521,x38522),x38525),x38526)),f317(f317(x38524,x38525),x38526))
% 92.26/92.08 [3853]E(f317(f317(f247(x38531,x38532,x38533),x38534),f317(f317(f242(x38531,x38532),x38535),x38536)),f317(f317(x38534,x38535),x38536))
% 92.26/92.08 [3854]E(f317(f317(f247(x38541,x38542,x38543),x38544),f317(f317(f242(x38541,x38542),x38545),x38546)),f317(f317(x38544,x38545),x38546))
% 92.26/92.08 [3914]E(f317(f317(f317(f8(x39141,x39142,x39143),x39144),x39145),x39146),f317(x39144,f317(x39145,x39146)))
% 92.26/92.08 [3915]E(f317(f317(f317(f7(x39151,x39152,x39153),x39154),x39155),x39156),f317(f317(x39154,x39156),x39155))
% 92.26/92.08 [3931]E(f317(f317(f317(f18(x39311,x39312,x39313),x39314),x39315),x39316),f317(f317(x39314,x39316),f317(x39315,x39316)))
% 92.26/92.08 [3954]E(f317(f146(x39541,x39542,x39543,x39544),f317(f317(f141(x39542),x39545),x39546)),f317(f317(x39544,x39545),x39546))
% 92.26/92.08 [3991]E(f159(f903(x39911,x39912),f317(f317(f228(a897),x39913),x39914),f317(f317(f242(x39911,x39912),x39915),x39916)),f317(f317(f171(x39911,x39912),f159(x39911,x39913,x39915)),f159(x39912,x39914,x39916)))
% 92.26/92.08 [4058]E(f317(f317(f141(f903(x40581,x40582)),f317(f317(f242(x40581,x40582),x40583),x40584)),f317(f317(f171(x40581,x40582),x40585),x40586)),f317(f317(f171(x40581,x40582),f317(f317(f141(x40581),x40583),x40585)),f317(f317(f141(x40582),x40584),x40586)))
% 92.26/92.08 [4060]E(f317(f317(f144(x40601,x40602),x40603),f317(f317(f149(x40601,x40604),x40605),x40606)),f317(f317(f149(x40602,f317(f317(f144(x40601,x40602),x40603),x40604)),x40605),f317(x40603,x40606)))
% 92.26/92.08 [4083]E(f317(f317(f245(x40831,x40832,x40833,x40834),x40835),x40836),f317(x40834,f317(f317(f242(x40831,x40832),x40835),x40836)))
% 92.26/92.08 [4084]E(f317(f317(f245(x40841,x40842,x40843,x40844),x40845),x40846),f317(x40844,f317(f317(f242(x40841,x40842),x40845),x40846)))
% 92.26/92.08 [4100]E(f317(f132(x41001,x41002,x41003,x41004),f317(f317(f141(x41002),x41005),x41006)),f317(f132(x41001,x41002,x41003,f317(f317(x41003,x41004),x41005)),x41006))
% 92.26/92.08 [4126]E(f250(x41261,x41262,x41263,x41264,f317(f317(f242(x41261,x41262),x41265),x41266)),f317(f317(x41264,x41265),x41266))
% 92.26/92.08 [4207]E(f317(f317(f35(x42071,f904(x42072,a893)),x42073),f317(f67(x42074,f904(x42072,a893),x42071,x42075),x42076)),f317(f317(f35(x42074,f904(x42072,a893)),f317(f300(x42071,x42074,x42076),x42073)),x42075))
% 92.26/92.08 [4256]E(f317(f317(f144(x42561,x42562),x42563),f317(f317(f144(x42564,x42561),x42565),x42566)),f317(f317(f144(x42564,x42562),f317(f67(x42561,x42562,x42564,x42563),x42565)),x42566))
% 92.26/92.08 [4257]E(f317(f317(f144(x42571,x42572),x42573),f317(f317(f144(x42574,x42571),x42575),x42576)),f317(f317(f144(x42574,x42572),f317(f67(x42571,x42572,x42574,x42573),x42575)),x42576))
% 92.26/92.08 [4263]E(f317(f300(x42631,x42632,f317(f67(x42633,x42632,x42631,x42634),x42635)),x42636),f317(f300(x42633,x42632,x42634),f317(f300(x42631,x42633,x42635),x42636)))
% 92.26/92.08 [4264]E(f317(f301(x42641,x42642,f317(f67(x42643,x42642,x42641,x42644),x42645)),x42646),f317(f301(x42641,x42643,x42645),f317(f301(x42643,x42642,x42644),x42646)))
% 92.26/92.08 [4292]E(f317(f132(x42921,x42922,x42923,f317(f132(x42921,x42922,x42923,x42924),x42925)),x42926),f317(f132(x42921,x42922,x42923,x42924),f317(f317(f124(x42922),x42925),x42926)))
% 92.26/92.08 [4426]E(f317(f248(x44261,x44261,x44262,x44263,f25(x44261),x44264),f317(f317(f242(x44261,x44262),x44265),x44266)),f317(f317(f242(x44261,x44263),x44265),f317(x44264,x44266)))
% 92.26/92.08 [4427]E(f317(f248(x44271,x44272,x44273,x44273,x44274,f25(x44273)),f317(f317(f242(x44271,x44273),x44275),x44276)),f317(f317(f242(x44272,x44273),f317(x44274,x44275)),x44276))
% 92.26/92.08 [4515]E(f317(f317(f144(f903(x45151,x45152),f903(x45151,x45153)),f317(f247(x45151,x45152,f903(x45151,x45153)),f317(f317(f7(x45151,f904(x45152,x45153),f904(x45152,f903(x45151,x45153))),f317(f317(f8(f904(x45153,f903(x45151,x45153)),f904(f904(x45152,x45153),f904(x45152,f903(x45151,x45153))),x45151),f8(x45153,f903(x45151,x45153),x45152)),f242(x45151,x45153))),x45154))),f317(f317(f171(x45151,x45152),x45155),x45156)),f317(f317(f171(x45151,x45153),x45155),f317(f317(f144(x45152,x45153),x45154),x45156)))
% 92.26/92.08 [4110]E(f317(f317(f67(x41101,x41102,x41103,f317(f16(x41102,x41101),x41104)),x41105),x41106),x41104)
% 92.26/92.08 [4142]E(f317(f300(x41421,x41422,x41423),f317(f300(x41424,x41421,x41425),x41426)),f317(f300(x41424,x41422,f317(f317(f8(x41421,x41422,x41424),x41423),x41425)),x41426))
% 92.26/92.08 [4148]E(f317(f317(f35(x41481,f904(x41482,a893)),f317(f300(x41483,x41481,x41484),x41485)),x41486),f317(f317(f35(x41483,f904(x41482,a893)),x41485),f317(f317(f8(x41481,f904(x41482,a893),x41483),x41486),x41484)))
% 92.26/92.08 [4149]E(f317(f317(f36(x41491,f904(x41492,a893)),f317(f300(x41493,x41491,x41494),x41495)),x41496),f317(f317(f36(x41493,f904(x41492,a893)),x41495),f317(f317(f8(x41491,f904(x41492,a893),x41493),x41496),x41494)))
% 92.26/92.08 [4150]E(f317(f317(f35(x41501,f904(x41502,a893)),x41503),f317(f317(f8(x41504,f904(x41502,a893),x41501),x41505),x41506)),f317(f317(f35(x41504,f904(x41502,a893)),f317(f300(x41501,x41504,x41506),x41503)),x41505))
% 92.26/92.08 [4151]E(f317(f317(f36(x41511,f904(x41512,a893)),x41513),f317(f317(f8(x41514,f904(x41512,a893),x41511),x41515),x41516)),f317(f317(f36(x41514,f904(x41512,a893)),f317(f300(x41511,x41514,x41516),x41513)),x41515))
% 92.26/92.08 [4209]E(f317(f317(f35(x42091,f904(x42092,a893)),x42093),f317(f317(f8(f904(x42094,a893),f904(x42092,a893),x42091),f300(x42094,x42092,x42095)),x42096)),f317(f300(x42094,x42092,x42095),f317(f317(f35(x42091,f904(x42094,a893)),x42093),x42096)))
% 92.26/92.08 [4210]E(f317(f317(f35(x42101,f904(x42102,a893)),x42103),f317(f317(f8(f904(x42104,a893),f904(x42102,a893),x42101),f275(x42104,x42102,x42105)),x42106)),f317(f275(x42104,x42102,x42105),f317(f317(f35(x42101,f904(x42104,a893)),x42103),x42106)))
% 92.26/92.08 [4211]E(f317(f317(f35(x42111,f904(x42112,a893)),x42113),f317(f317(f8(f904(x42114,a893),f904(x42112,a893),x42111),f301(x42112,x42114,x42115)),x42116)),f317(f301(x42112,x42114,x42115),f317(f317(f35(x42111,f904(x42114,a893)),x42113),x42116)))
% 92.26/92.08 [4212]E(f317(f317(f36(x42121,f904(x42122,a893)),x42123),f317(f317(f8(f904(x42124,a893),f904(x42122,a893),x42121),f301(x42122,x42124,x42125)),x42126)),f317(f301(x42122,x42124,x42125),f317(f317(f36(x42121,f904(x42124,a893)),x42123),x42126)))
% 92.26/92.08 [4297]E(f317(f132(x42971,x42972,f317(f7(x42972,x42971,x42971),x42973),x42974),f317(f158(x42972),f317(f317(f141(x42972),x42975),x42976))),f317(f317(x42973,x42975),f317(f132(x42971,x42972,f317(f7(x42972,x42971,x42971),x42973),x42974),f317(f158(x42972),x42976))))
% 92.26/92.08 [4355]E(f317(f317(f18(f903(x43551,x43552),x43552,x43553),f317(f317(f8(x43554,f904(x43552,x43553),f903(x43551,x43552)),x43555),f317(f317(f8(x43551,x43554,f903(x43551,x43552)),x43556),f241(x43551,x43552)))),f246(x43551,x43552)),f317(f247(x43551,x43552,x43553),f317(f317(f8(x43554,f904(x43552,x43553),x43551),x43555),x43556)))
% 92.26/92.08 [4362]E(f317(f132(x43621,x43622,f317(f7(x43622,x43621,x43621),x43623),f317(f132(x43621,x43622,f317(f7(x43622,x43621,x43621),x43623),x43624),f317(f158(x43622),x43625))),f317(f158(x43622),x43626)),f317(f132(x43621,x43622,f317(f7(x43622,x43621,x43621),x43623),x43624),f317(f158(x43622),f317(f317(f124(x43622),x43626),x43625))))
% 92.26/92.08 [4364]E(f317(f317(f144(f903(x43641,x43642),f903(x43643,x43642)),f317(f247(x43641,x43642,f903(x43643,x43642)),f317(f317(f8(x43643,f904(x43642,f903(x43643,x43642)),x43641),f242(x43643,x43642)),x43644))),f317(f317(f171(x43641,x43642),x43645),x43646)),f317(f317(f171(x43643,x43642),f317(f317(f144(x43641,x43643),x43644),x43645)),x43646))
% 92.26/92.08 [4409]P1(f317(f317(f224(f904(x44091,a893)),f317(f275(x44092,x44091,x44093),f317(f317(f36(x44094,f904(x44092,a893)),x44095),x44096))),f317(f317(f36(x44094,f904(x44091,a893)),x44095),f317(f317(f8(f904(x44092,a893),f904(x44091,a893),x44094),f275(x44092,x44091,x44093)),x44096))))
% 92.26/92.08 [4222]E(f317(f317(f171(x42221,x42222),f317(f317(f149(x42221,x42223),x42224),f317(f241(x42221,x42222),x42225))),f317(f317(f149(x42222,x42226),x42224),f317(f246(x42221,x42222),x42225))),f317(f317(f149(f903(x42221,x42222),f317(f317(f171(x42221,x42222),x42223),x42226)),x42224),x42225))
% 92.26/92.08 [4280]E(f317(f317(f91(f904(f903(x42801,x42802),a893)),f317(f317(f279(x42801,x42803,x42802),x42804),x42805)),f317(f317(f279(x42801,x42803,x42802),x42804),x42806)),f317(f317(f279(x42801,x42803,x42802),x42804),f317(f317(f91(f904(f903(x42803,x42802),a893)),x42805),x42806)))
% 92.26/92.08 [4374]E(f317(f317(f299(f903(x43741,x43742)),f317(f317(f242(x43741,x43742),x43743),x43744)),f317(f317(f91(f904(f903(x43741,x43742),a893)),f317(f317(f244(x43741,x43742),x43745),f317(f16(f904(x43742,a893),x43741),f317(f317(f299(x43742),x43744),x43746)))),f317(f317(f244(x43741,x43742),f317(f317(f299(x43741),x43743),x43745)),f317(f16(f904(x43742,a893),x43741),x43746)))),f317(f317(f244(x43741,x43742),f317(f317(f299(x43741),x43743),x43745)),f317(f16(f904(x43742,a893),x43741),f317(f317(f299(x43742),x43744),x43746))))
% 92.26/92.08 [4453]E(f317(f317(f92(f904(x44531,a893)),f317(f301(x44531,x44532,f317(f67(f903(x44532,x44533),x44532,x44531,f241(x44532,x44533)),x44534)),x44535)),f317(f301(x44531,x44533,f317(f67(f903(x44532,x44533),x44533,x44531,f246(x44532,x44533)),x44534)),x44536)),f317(f301(x44531,f903(x44532,x44533),x44534),f317(f317(f244(x44532,x44533),x44535),f317(f16(f904(x44533,a893),x44532),x44536))))
% 92.26/92.08 [4303]E(f317(f317(f91(f904(f903(x43031,x43032),a893)),f317(f317(f279(x43031,x43033,x43032),x43034),x43035)),f317(f317(f279(x43031,x43033,x43032),x43036),x43035)),f317(f317(f279(x43031,x43033,x43032),f317(f317(f91(f904(f903(x43031,x43033),a893)),x43034),x43036)),x43035))
% 92.26/92.08 [4431]E(f317(f317(f35(x44311,f904(x44312,a893)),x44313),f317(f317(f7(x44311,f904(x44314,f904(x44312,a893)),f904(x44312,a893)),f317(f317(f8(f904(x44314,a893),f904(f904(x44314,f904(x44312,a893)),f904(x44312,a893)),x44311),f35(x44314,f904(x44312,a893))),x44315)),x44316)),f317(f317(f35(x44314,f904(x44312,a893)),f317(f317(f35(x44311,f904(x44314,a893)),x44313),x44315)),x44316))
% 92.26/92.08 [4432]E(f317(f317(f35(x44321,f904(x44322,a893)),x44323),f317(f317(f7(x44321,f904(x44324,f904(x44322,a893)),f904(x44322,a893)),f317(f317(f8(f904(x44324,a893),f904(f904(x44324,f904(x44322,a893)),f904(x44322,a893)),x44321),f35(x44324,f904(x44322,a893))),x44325)),x44326)),f317(f317(f35(x44324,f904(x44322,a893)),f317(f317(f35(x44321,f904(x44324,a893)),x44323),x44325)),x44326))
% 92.26/92.08 [4433]E(f317(f317(f36(x44331,f904(x44332,a893)),x44333),f317(f317(f7(x44331,f904(x44334,f904(x44332,a893)),f904(x44332,a893)),f317(f317(f8(f904(x44334,a893),f904(f904(x44334,f904(x44332,a893)),f904(x44332,a893)),x44331),f36(x44334,f904(x44332,a893))),x44335)),x44336)),f317(f317(f36(x44334,f904(x44332,a893)),f317(f317(f35(x44331,f904(x44334,a893)),x44333),x44335)),x44336))
% 92.26/92.08 [4434]E(f317(f317(f35(x44341,f904(x44342,a893)),x44343),f317(f317(f7(x44341,f904(x44344,f904(x44342,a893)),f904(x44342,a893)),f317(f317(f8(f904(x44344,a893),f904(f904(x44344,f904(x44342,a893)),f904(x44342,a893)),x44341),f35(x44344,f904(x44342,a893))),x44345)),x44346)),f317(f317(f35(x44344,f904(x44342,a893)),f317(f317(f35(x44341,f904(x44344,a893)),x44343),x44345)),x44346))
% 92.26/92.08 [4435]E(f317(f317(f36(x44351,f904(x44352,a893)),x44353),f317(f317(f7(x44351,f904(x44354,f904(x44352,a893)),f904(x44352,a893)),f317(f317(f8(f904(x44354,a893),f904(f904(x44354,f904(x44352,a893)),f904(x44352,a893)),x44351),f36(x44354,f904(x44352,a893))),x44355)),x44356)),f317(f317(f36(x44354,f904(x44352,a893)),f317(f317(f35(x44351,f904(x44354,a893)),x44353),x44355)),x44356))
% 92.26/92.08 [4487]E(f317(f247(x44871,x44872,f903(x44873,x44874)),f317(f317(f7(x44871,f904(x44872,x44874),f904(x44872,f903(x44873,x44874))),f317(f317(f8(f904(x44874,f903(x44873,x44874)),f904(f904(x44872,x44874),f904(x44872,f903(x44873,x44874))),x44871),f8(x44874,f903(x44873,x44874),x44872)),f317(f317(f8(x44873,f904(x44874,f903(x44873,x44874)),x44871),f242(x44873,x44874)),x44875))),x44876)),f248(x44871,x44873,x44872,x44874,x44875,x44876))
% 92.26/92.08 [4510]E(f317(f300(x45101,x45102,f317(f317(f18(x45101,x45102,x45102),f317(f317(f18(x45101,x45102,f904(x45102,x45102)),f317(f317(f8(a893,f904(x45102,f904(x45102,x45102)),x45101),f86(x45102)),x45103)),x45104)),x45105)),x45106),f317(f317(f91(f904(x45102,a893)),f317(f300(x45101,x45102,x45104),f317(f317(f92(f904(x45101,a893)),x45106),f317(f252(x45101),x45103)))),f317(f300(x45101,x45102,x45105),f317(f317(f92(f904(x45101,a893)),x45106),f317(f252(x45101),f317(f317(f8(a893,a893,x45101),a312),x45103))))))
% 92.26/92.08 [4522]E(f317(f300(x45221,f903(x45222,x45223),f317(f317(f18(x45221,x45223,f903(x45222,x45223)),f317(f317(f8(x45222,f904(x45223,f903(x45222,x45223)),x45221),f242(x45222,x45223)),x45224)),x45225)),x45226),f317(f317(f244(x45222,x45223),f317(f300(x45221,x45222,x45224),x45226)),f317(f317(f8(f904(x45221,a893),f904(x45223,a893),x45222),f300(x45221,x45223,x45225)),f317(f317(f7(x45222,f904(x45221,a893),f904(x45221,a893)),f317(f317(f8(f904(x45221,a893),f904(f904(x45221,a893),f904(x45221,a893)),x45222),f92(f904(x45221,a893))),f317(f317(f8(f904(x45222,a893),f904(x45221,a893),x45222),f301(x45221,x45222,x45224)),f317(f317(f7(x45222,f904(x45222,a893),f904(x45222,a893)),f299(x45222)),f178(f904(x45222,a893)))))),x45226))))
% 92.26/92.08 [4547]E(f236(x45471,x45472,x45473,x45474,x45475,x45476),f317(x45474,f317(f252(x45471),f317(f317(f8(f904(f904(x45473,x45471),a893),a893,x45471),f81(f904(x45473,x45471))),f317(f317(f8(f904(f904(x45473,x45471),a893),f904(f904(x45473,x45471),a893),x45471),f317(f18(f904(x45473,x45471),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x45473,x45471)),a315),f317(f317(f7(f904(x45473,x45471),f904(f904(x45473,x45471),a893),a893),f319(f904(x45473,x45471))),x45475)))),f317(f317(f7(x45471,f904(f904(x45473,x45471),x45471),f904(f904(x45473,x45471),a893)),f317(f317(f8(f904(x45471,a893),f904(f904(f904(x45473,x45471),x45471),f904(f904(x45473,x45471),a893)),x45471),f8(x45471,a893,f904(x45473,x45471))),a314)),f317(f317(f7(f904(x45473,x45471),x45473,x45471),f5(f904(x45473,x45471))),x45476)))))))
% 92.26/92.08 [4336]E(f317(f67(x43361,x43362,x43363,x43364),f69(x43363,x43361,x43365,x43366,x43367)),f69(x43363,x43362,f317(f67(x43361,x43362,x43363,x43364),x43365),x43366,f317(x43364,x43367)))
% 92.26/92.08 [4470]E(f317(f246(x44701,x44702),f317(f248(x44703,x44701,x44704,x44702,x44705,x44706),x44707)),f317(x44706,f317(f246(x44703,x44704),x44707)))
% 92.26/92.08 [4471]E(f317(f241(x44711,x44712),f317(f248(x44713,x44711,x44714,x44712,x44715,x44716),x44717)),f317(x44715,f317(f241(x44713,x44714),x44717)))
% 92.26/92.08 [4185]E(f317(f317(f171(x41851,x41852),f317(f317(f149(x41851,x41853),x41854),x41855)),f317(f317(f149(x41852,x41856),x41854),x41857)),f317(f317(f149(f903(x41851,x41852),f317(f317(f171(x41851,x41852),x41853),x41856)),x41854),f317(f317(f242(x41851,x41852),x41855),x41857)))
% 92.26/92.08 [4251]E(f317(f317(f317(f249(x42511,x42512,x42513,x42514),x42515),x42516),x42517),f317(f317(f247(x42512,x42513,x42514),x42516),f317(x42515,x42517)))
% 92.26/92.08 [4252]E(f317(f317(f317(f249(x42521,x42522,x42523,x42524),x42525),x42526),x42527),f317(f317(f247(x42522,x42523,x42524),x42526),f317(x42525,x42527)))
% 92.26/92.08 [4262]E(f317(f317(f317(f249(x42621,x42622,x42623,x42624),x42625),x42626),x42627),f317(f317(x42626,f317(f241(x42622,x42623),f317(x42625,x42627))),f317(f246(x42622,x42623),f317(x42625,x42627))))
% 92.26/92.08 [4314]E(f317(f67(x43141,x43142,x43143,x43144),f317(f67(x43145,x43141,x43143,x43146),x43147)),f317(f67(x43145,x43142,x43143,f317(f67(x43141,x43142,x43145,x43144),x43146)),x43147))
% 92.26/92.08 [4491]E(f317(f248(x44911,x44912,x44913,x44913,x44914,f25(x44913)),f317(f248(x44911,x44911,x44915,x44913,f25(x44911),x44916),x44917)),f317(f317(f242(x44912,x44913),f317(x44914,f317(f241(x44911,x44915),x44917))),f317(x44916,f317(f246(x44911,x44915),x44917))))
% 92.26/92.08 [4492]E(f317(f248(x44921,x44921,x44922,x44923,f25(x44921),x44924),f317(f248(x44925,x44921,x44922,x44922,x44926,f25(x44922)),x44927)),f317(f317(f242(x44921,x44923),f317(x44926,f317(f241(x44925,x44922),x44927))),f317(x44924,f317(f246(x44925,x44922),x44927))))
% 92.26/92.08 [4508]E(f317(f248(x45081,x45082,x45083,x45083,x45084,f25(x45083)),f317(f248(x45085,x45081,x45083,x45083,x45086,f25(x45083)),x45087)),f317(f248(x45085,x45082,x45083,x45083,f317(f67(x45081,x45082,x45085,x45084),x45086),f25(x45083)),x45087))
% 92.26/92.08 [4509]E(f317(f248(x45091,x45091,x45092,x45093,f25(x45091),x45094),f317(f248(x45091,x45091,x45095,x45092,f25(x45091),x45096),x45097)),f317(f248(x45091,x45091,x45095,x45093,f25(x45091),f317(f67(x45092,x45093,x45095,x45094),x45096)),x45097))
% 92.26/92.08 [4519]E(f317(f248(x45191,x45192,x45193,x45193,x45194,f25(x45193)),f317(f248(x45191,x45191,x45195,x45193,f25(x45191),x45196),x45197)),f317(f248(x45192,x45192,x45195,x45193,f25(x45192),x45196),f317(f248(x45191,x45192,x45195,x45195,x45194,f25(x45195)),x45197)))
% 92.26/92.08 [4219]E(f317(f317(f279(x42191,x42192,x42193),f317(f317(f279(x42191,x42194,x42192),x42195),x42196)),x42197),f317(f317(f279(x42191,x42194,x42193),x42195),f317(f317(f279(x42194,x42192,x42193),x42196),x42197)))
% 92.26/92.08 [4286]E(f317(f317(f247(x42861,x42862,x42863),f317(f67(x42864,f904(x42862,x42863),x42861,x42865),x42866)),x42867),f317(f317(x42865,f317(x42866,f317(f241(x42861,x42862),x42867))),f317(f246(x42861,x42862),x42867)))
% 92.26/92.08 [4367]E(f317(f132(x43671,x43672,f317(f7(x43672,x43671,x43671),x43673),x43674),f317(f158(x43672),f317(f317(f144(x43675,x43672),x43676),x43677))),f317(f132(x43671,x43675,f317(f7(x43675,x43671,x43671),f317(f67(x43672,f904(x43671,x43671),x43675,x43673),x43676)),x43674),f317(f158(x43675),x43677)))
% 92.26/92.08 [4315]E(f317(f317(f35(x43151,f904(f903(x43152,x43153),a893)),x43154),f317(f317(f8(f904(f903(x43155,x43153),a893),f904(f903(x43152,x43153),a893),x43151),f317(f279(x43152,x43155,x43153),x43156)),x43157)),f317(f317(f279(x43152,x43155,x43153),x43156),f317(f317(f35(x43151,f904(f903(x43155,x43153),a893)),x43154),x43157)))
% 92.26/92.08 [4458]E(f317(f317(f35(x44581,f904(f903(x44582,x44583),a893)),x44584),f317(f317(f7(x44581,f904(f903(x44585,x44583),a893),f904(f903(x44582,x44583),a893)),f317(f317(f8(f904(f903(x44582,x44585),a893),f904(f904(f903(x44585,x44583),a893),f904(f903(x44582,x44583),a893)),x44581),f279(x44582,x44585,x44583)),x44586)),x44587)),f317(f317(f279(x44582,x44585,x44583),f317(f317(f35(x44581,f904(f903(x44582,x44585),a893)),x44584),x44586)),x44587))
% 92.26/92.08 [4459]E(f317(f132(x44591,x44592,f317(f317(f7(x44591,f904(x44592,x44593),f904(x44592,x44591)),f317(f317(f8(f904(x44593,x44591),f904(f904(x44592,x44593),f904(x44592,x44591)),x44591),f8(x44593,x44591,x44592)),x44594)),x44595),x44596),x44597),f317(f132(x44591,x44593,x44594,x44596),f317(f317(f144(x44592,x44593),x44595),x44597)))
% 92.26/92.08 [4520]E(f317(f317(f36(x45201,f904(x45202,a893)),x45203),f317(f317(f8(f904(x45204,f904(x45202,a893)),f904(x45202,a893),x45201),f317(f36(x45204,f904(x45202,a893)),x45205)),f317(f317(f7(x45201,f904(x45204,f904(x45202,a893)),f904(x45204,f904(x45202,a893))),f317(f317(f8(f904(f904(x45202,a893),f904(x45202,a893)),f904(f904(x45204,f904(x45202,a893)),f904(x45204,f904(x45202,a893))),x45201),f8(f904(x45202,a893),f904(x45202,a893),x45204)),f317(f317(f8(f904(x45202,a893),f904(f904(x45202,a893),f904(x45202,a893)),x45201),f91(f904(x45202,a893))),x45206))),x45207))),f317(f317(f91(f904(x45202,a893)),f317(f317(f36(x45201,f904(x45202,a893)),x45203),x45206)),f317(f317(f36(x45204,f904(x45202,a893)),x45205),x45207)))
% 92.26/92.08 [4521]E(f317(f317(f35(x45211,f904(x45212,a893)),x45213),f317(f317(f8(f904(x45214,f904(x45212,a893)),f904(x45212,a893),x45211),f317(f35(x45214,f904(x45212,a893)),x45215)),f317(f317(f7(x45211,f904(x45214,f904(x45212,a893)),f904(x45214,f904(x45212,a893))),f317(f317(f8(f904(f904(x45212,a893),f904(x45212,a893)),f904(f904(x45214,f904(x45212,a893)),f904(x45214,f904(x45212,a893))),x45211),f8(f904(x45212,a893),f904(x45212,a893),x45214)),f317(f317(f8(f904(x45212,a893),f904(f904(x45212,a893),f904(x45212,a893)),x45211),f92(f904(x45212,a893))),x45216))),x45217))),f317(f317(f92(f904(x45212,a893)),f317(f317(f35(x45211,f904(x45212,a893)),x45213),x45216)),f317(f317(f35(x45214,f904(x45212,a893)),x45215),x45217)))
% 92.26/92.08 [4513]E(f187(x45131,x45132,f317(f317(f317(x45133,x45134),x45135),x45136),f317(f317(f7(x45131,f903(a89,a89),f904(a89,f899(x45132))),f317(f317(f7(x45131,a89,f904(f903(a89,a89),f904(a89,f899(x45132)))),f317(f317(f7(x45131,a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(x45132))))),x45137),x45134)),x45135)),x45136)),f317(f317(f317(f199(x45131,x45132,x45133,x45137),x45134),x45135),x45136))
% 92.26/92.08 [4527]E(f188(x45271,x45272,f317(f317(f317(x45273,x45274),x45275),x45276),f317(f317(f7(x45271,f903(a89,a89),f904(a89,f899(x45272))),f317(f317(f7(x45271,a89,f904(f903(a89,a89),f904(a89,f899(x45272)))),f317(f317(f7(x45271,a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(x45272))))),x45277),x45274)),x45275)),x45276)),f201(x45271,x45272,x45273,x45277,x45274,x45275,x45276))
% 92.26/92.08 [4518]E(f185(x45181,x45182,f317(f317(f317(x45183,x45184),x45185),x45186),f317(f317(f7(x45181,f903(a89,a89),f904(a89,f899(f900(x45182)))),f317(f317(f7(x45181,a89,f904(f903(a89,a89),f904(a89,f899(f900(x45182))))),f317(f317(f7(x45181,a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(f900(x45182)))))),x45187),x45184)),x45185)),x45186)),f317(f317(f317(f195(x45181,x45182,x45183,x45187),x45184),x45185),x45186))
% 92.26/92.08 [4529]E(f186(x45291,x45292,f317(f317(f317(x45293,x45294),x45295),x45296),f317(f317(f7(x45291,f903(a89,a89),f904(a89,f899(f900(x45292)))),f317(f317(f7(x45291,a89,f904(f903(a89,a89),f904(a89,f899(f900(x45292))))),f317(f317(f7(x45291,a89,f904(a89,f904(f903(a89,a89),f904(a89,f899(f900(x45292)))))),x45297),x45294)),x45295)),x45296)),f197(x45291,x45292,x45293,x45297,x45294,x45295,x45296))
% 92.26/92.08 [4428]E(f317(f248(x44281,x44282,x44283,x44284,x44285,x44286),f317(f317(f242(x44281,x44283),x44287),x44288)),f317(f317(f242(x44282,x44284),f317(x44285,x44287)),f317(x44286,x44288)))
% 92.26/92.08 [4531]E(f317(f317(f144(f903(x45311,x45312),f903(x45313,x45314)),f317(f247(x45311,x45312,f903(x45313,x45314)),f317(f317(f7(x45311,f904(x45312,x45314),f904(x45312,f903(x45313,x45314))),f317(f317(f8(f904(x45314,f903(x45313,x45314)),f904(f904(x45312,x45314),f904(x45312,f903(x45313,x45314))),x45311),f8(x45314,f903(x45313,x45314),x45312)),f317(f317(f8(x45313,f904(x45314,f903(x45313,x45314)),x45311),f242(x45313,x45314)),x45315))),x45316))),f317(f317(f171(x45311,x45312),x45317),x45318)),f317(f317(f171(x45313,x45314),f317(f317(f144(x45311,x45313),x45315),x45317)),f317(f317(f144(x45312,x45314),x45316),x45318)))
% 92.26/92.08 [4534]E(f317(f317(f144(f903(x45341,x45342),x45343),f317(f247(x45341,x45342,x45343),f317(f317(f8(f904(x45342,f903(x45341,x45344)),f904(x45342,x45343),x45341),f317(f8(f903(x45341,x45344),x45343,x45342),x45345)),f317(f317(f7(x45341,f904(x45342,x45344),f904(x45342,f903(x45341,x45344))),f317(f317(f8(f904(x45344,f903(x45341,x45344)),f904(f904(x45342,x45344),f904(x45342,f903(x45341,x45344))),x45341),f8(x45344,f903(x45341,x45344),x45342)),f242(x45341,x45344))),x45346)))),f317(f317(f171(x45341,x45342),x45347),x45348)),f317(f317(f144(f903(x45341,x45344),x45343),x45345),f317(f317(f171(x45341,x45344),x45347),f317(f317(f144(x45342,x45344),x45346),x45348))))
% 92.26/92.08 [4462]E(f317(f317(f144(f903(x44621,x44622),x44623),f317(f247(x44621,x44622,x44623),f317(f317(f8(f904(x44622,f903(x44624,x44622)),f904(x44622,x44623),x44621),f317(f8(f903(x44624,x44622),x44623,x44622),x44625)),f317(f317(f8(x44624,f904(x44622,f903(x44624,x44622)),x44621),f242(x44624,x44622)),x44626)))),f317(f317(f171(x44621,x44622),x44627),x44628)),f317(f317(f144(f903(x44624,x44622),x44623),x44625),f317(f317(f171(x44624,x44622),f317(f317(f144(x44621,x44624),x44626),x44627)),x44628)))
% 92.26/92.08 [4419]E(f317(f317(f247(x44191,x44192,x44193),f317(f317(f8(f904(x44192,f903(x44194,x44195)),f904(x44192,x44193),x44191),f317(f8(f903(x44194,x44195),x44193,x44192),f317(f247(x44194,x44195,x44193),x44196))),x44197)),x44198),f317(f317(f247(x44194,x44195,x44193),x44196),f317(f317(f247(x44191,x44192,f903(x44194,x44195)),x44197),x44198)))
% 92.26/92.08 [4535]E(f317(f317(f35(f903(x45351,x45352),f904(f903(x45353,x45354),a893)),f317(f317(f244(x45351,x45352),x45355),f317(f16(f904(x45352,a893),x45351),x45356))),f317(f247(x45351,x45352,f904(f903(x45353,x45354),a893)),f317(f317(f7(x45351,f904(x45352,f904(x45353,f904(x45354,a893))),f904(x45352,f904(f903(x45353,x45354),a893))),f317(f317(f8(f904(f904(x45353,f904(x45354,a893)),f904(f903(x45353,x45354),a893)),f904(f904(x45352,f904(x45353,f904(x45354,a893))),f904(x45352,f904(f903(x45353,x45354),a893))),x45351),f8(f904(x45353,f904(x45354,a893)),f904(f903(x45353,x45354),a893),x45352)),f317(f317(f8(f904(x45353,a893),f904(f904(x45353,f904(x45354,a893)),f904(f903(x45353,x45354),a893)),x45351),f244(x45353,x45354)),x45357))),f317(f317(f8(f904(x45354,a893),f904(x45353,f904(x45354,a893)),x45352),f16(f904(x45354,a893),x45353)),x45358)))),f317(f317(f244(x45353,x45354),f317(f317(f35(x45351,f904(x45353,a893)),x45355),x45357)),f317(f16(f904(x45354,a893),x45353),f317(f317(f35(x45352,f904(x45354,a893)),x45356),x45358))))
% 92.26/92.08 [4476]E(f317(f317(f249(x44761,x44762,x44763,x44764),f317(f317(f249(x44761,x44765,x44766,f903(x44762,x44763)),x44767),x44768)),x44769),f317(f317(f249(x44761,x44765,x44766,x44764),x44767),f317(f317(f7(x44765,f904(x44762,f904(x44763,x44764)),f904(x44766,x44764)),f317(f317(f8(f904(x44766,f903(x44762,x44763)),f904(f904(x44762,f904(x44763,x44764)),f904(x44766,x44764)),x44765),f249(x44766,x44762,x44763,x44764)),x44768)),x44769)))
% 92.26/92.08 [4504]E(f317(f67(f903(x45041,x45042),f903(x45043,x45044),f903(x45045,x45046),f248(x45041,x45043,x45042,x45044,x45047,x45048)),f248(x45045,x45041,x45046,x45042,x45049,x450410)),f248(x45045,x45043,x45046,x45044,f317(f67(x45041,x45043,x45045,x45047),x45049),f317(f67(x45042,x45044,x45046,x45048),x450410)))
% 92.26/92.08 [4505]E(f317(f67(f903(x45051,x45052),f903(x45053,x45054),f903(x45055,x45056),f248(x45051,x45053,x45052,x45054,x45057,x45058)),f248(x45055,x45051,x45056,x45052,x45059,x450510)),f248(x45055,x45053,x45056,x45054,f317(f67(x45051,x45053,x45055,x45057),x45059),f317(f67(x45052,x45054,x45056,x45058),x450510)))
% 92.26/92.08 [4511]E(f317(f248(x45111,x45112,x45113,x45114,x45115,x45116),f317(f248(x45117,x45111,x45118,x45113,x45119,x451110),x451111)),f317(f248(x45117,x45112,x45118,x45114,f317(f67(x45111,x45112,x45117,x45115),x45119),f317(f67(x45113,x45114,x45118,x45116),x451110)),x451111))
% 92.26/92.08 [4638]~P2(x46381)+P2(f900(x46381))
% 92.26/92.08 [4639]~P60(x46391)+P60(f900(x46391))
% 92.26/92.08 [4640]~P105(x46401)+P105(f898(x46401))
% 92.26/92.08 [4642]~P143(x46421)+~E(f72(x46421),f2(x46421))
% 92.26/92.08 [4643]~P143(x46431)+~E(f72(x46431),f2(x46431))
% 92.26/92.08 [4645]~E(x46451,f2(a89))+E(f317(a22,x46451),f2(a1))
% 92.26/92.08 [4646]~E(x46461,f2(a1))+E(f76(a1,x46461),f2(a1))
% 92.26/92.08 [4652]~P144(x46521)+P27(x46521,f2(x46521))
% 92.26/92.08 [4653]~P107(x46531)+P13(x46531,f103(x46531))
% 92.26/92.08 [4654]~P107(x46541)+P13(x46541,f103(x46541))
% 92.26/92.08 [4663]P1(x46631)+P1(f317(a312,x46631))
% 92.26/92.08 [4717]~P144(x47171)+~P27(x47171,f72(x47171))
% 92.26/92.08 [4754]~P1(x47541)+~P1(f317(a312,x47541))
% 92.26/92.08 [4775]E(f317(a95,x47751),f2(a897))+~P1(f317(a183,x47751))
% 92.26/92.08 [4841]~P97(x48411)+P14(x48411,x48411,f75(x48411))
% 92.26/92.08 [4842]~P107(x48421)+P14(x48421,x48421,f228(x48421))
% 92.26/92.08 [4843]~P107(x48431)+P14(x48431,x48431,f223(x48431))
% 92.26/92.08 [4844]~P98(x48441)+P14(x48441,x48441,f91(x48441))
% 92.26/92.08 [4845]~P104(x48451)+P14(x48451,x48451,f92(x48451))
% 92.26/92.08 [4846]~P73(x48461)+P16(x48461,x48461,f75(x48461))
% 92.26/92.08 [4649]~E(x46491,f2(a897))+E(f317(f90(a1),x46491),f2(a1))
% 92.26/92.08 [4655]~P94(x46551)+E(f317(f94(x46551),a77),f2(x46551))
% 92.26/92.08 [4656]~P94(x46561)+E(f317(f94(x46561),a77),f2(x46561))
% 92.26/92.08 [4659]~E(f548(x46591),f2(a897))+E(f317(f155(a897),x46591),f2(a897))
% 92.26/92.08 [4660]~P109(x46601)+E(f226(x46601,f224(x46601)),f228(x46601))
% 92.26/92.08 [4661]~P109(x46611)+E(f227(x46611,f224(x46611)),f223(x46611))
% 92.26/92.08 [4662]~P90(x46621)+E(f76(x46621,f2(x46621)),f2(x46621))
% 92.26/92.08 [4671]~P144(x46711)+E(f317(f90(x46711),f72(a897)),f72(x46711))
% 92.26/92.08 [4672]~P144(x46721)+E(f317(f90(x46721),f2(a897)),f2(x46721))
% 92.26/92.08 [4673]~P140(x46731)+E(f317(f93(x46731),f72(a1)),f72(x46731))
% 92.26/92.08 [4674]~P140(x46741)+E(f317(f93(x46741),f2(a1)),f2(x46741))
% 92.26/92.08 [4675]E(x46751,f2(a897))+~E(f317(f90(a1),x46751),f2(a1))
% 92.26/92.08 [4711]~P96(x47111)+E(f317(f73(x47111),f178(x47111)),f232(x47111))
% 92.26/92.08 [4712]~P75(x47121)+E(f317(f73(x47121),f2(x47121)),f2(x47121))
% 92.26/92.08 [4713]~P96(x47131)+E(f317(f73(x47131),f232(x47131)),f178(x47131))
% 92.26/92.08 [4714]~P126(x47141)+E(f317(f70(x47141),f72(x47141)),f72(x47141))
% 92.26/92.08 [4715]~P85(x47151)+E(f317(f70(x47151),f2(x47151)),f2(x47151))
% 92.26/92.08 [4716]~P82(x47161)+E(f317(f155(x47161),f103(x47161)),f2(x47161))
% 92.26/92.08 [4734]~P35(x47341)+P39(f317(f162(a1),x47341))
% 92.26/92.08 [4758]~P94(x47581)+E(f317(f73(x47581),f72(x47581)),f317(f94(x47581),a87))
% 92.26/92.08 [4759]~P94(x47591)+E(f317(f73(x47591),f72(x47591)),f317(f94(x47591),a87))
% 92.26/92.08 [4774]~P94(x47741)+P27(x47741,f317(f94(x47741),a77))
% 92.26/92.08 [4800]P35(x48001)+~P39(f317(f162(a1),x48001))
% 92.26/92.08 [4847]E(f317(f90(a1),f317(a95,x48471)),x48471)+P1(f317(a183,x48471))
% 92.26/92.08 [4917]~P114(x49171)+E(f235(x49171,f72(x49171),f75(x49171)),f234(x49171))
% 92.26/92.08 [4950]~P94(x49501)+~P27(x49501,f317(f94(x49501),a87))
% 92.26/92.08 [5045]~E(x50451,f2(a897))+P1(f317(f317(f224(a897),x50451),f2(a897)))
% 92.26/92.08 [5046]~E(x50461,f72(a897))+P1(f317(f317(f277(a897),x50461),f72(a897)))
% 92.26/92.08 [5103]E(f317(f70(a1),x51031),x51031)+P1(f317(f317(f225(a1),x51031),f2(a1)))
% 92.26/92.08 [5121]~E(f317(a95,x51211),f2(a897))+P1(f317(f317(f224(a1),x51211),f2(a1)))
% 92.26/92.08 [5187]~P1(f317(a183,x51871))+P1(f317(f317(f225(a1),x51871),f2(a1)))
% 92.26/92.08 [5227]~P110(x52271)+P1(f317(f317(f224(x52271),f2(x52271)),f72(x52271)))
% 92.26/92.08 [5228]~P140(x52281)+P1(f317(f317(f319(x52281),f72(x52281)),f100(x52281)))
% 92.26/92.08 [5229]~P144(x52291)+P1(f317(f317(f319(x52291),f72(x52291)),f176(x52291)))
% 92.26/92.08 [5230]~P140(x52301)+P1(f317(f317(f319(x52301),f2(x52301)),f100(x52301)))
% 92.26/92.08 [5231]~P144(x52311)+P1(f317(f317(f319(x52311),f2(x52311)),f176(x52311)))
% 92.26/92.08 [5232]~P110(x52321)+P1(f317(f317(f225(x52321),f2(x52321)),f72(x52321)))
% 92.26/92.08 [5284]E(x52841,f72(a897))+~P1(f317(f317(f277(a897),x52841),f72(a897)))
% 92.26/92.08 [5285]E(x52851,f2(a897))+~P1(f317(f317(f224(a897),x52851),f2(a897)))
% 92.26/92.08 [5326]E(f317(a95,x53261),f2(a897))+~P1(f317(f317(f224(a1),x53261),f2(a1)))
% 92.26/92.08 [5327]E(f317(a95,x53271),f2(a897))+~P1(f317(f317(f224(a1),x53271),f2(a1)))
% 92.26/92.08 [5385]P1(f317(a183,x53851))+~P1(f317(f317(f225(a1),x53851),f2(a1)))
% 92.26/92.08 [5392]~P107(x53921)+P16(x53921,f898(x53921),f138(x53921,x53921,f5(x53921)))
% 92.26/92.08 [5410]P39(x54101)+~P1(f317(f317(f224(a1),f2(a1)),f796(x54101)))
% 92.26/92.08 [5415]E(f317(f70(a1),x54151),f317(f73(a1),x54151))+~P1(f317(f317(f225(a1),x54151),f2(a1)))
% 92.26/92.08 [5587]~P110(x55871)+~P1(f317(f317(f224(x55871),f72(x55871)),f2(x55871)))
% 92.26/92.08 [5588]~P110(x55881)+~P1(f317(f317(f225(x55881),f72(x55881)),f2(x55881)))
% 92.26/92.08 [5604]~E(x56041,f2(a897))+P1(f317(f317(f224(a1),f317(f90(a1),x56041)),f2(a1)))
% 92.26/92.08 [5605]~E(x56051,f2(a1))+P1(f317(f317(f225(a1),f317(f70(a1),x56051)),f72(a1)))
% 92.26/92.08 [5727]~P82(x57271)+E(f132(x57271,x57271,f74(x57271),f2(x57271)),f155(x57271))
% 92.26/92.08 [5910]~P95(x59101)+P24(a897,x59101,f90(x59101),f232(f904(a897,a893)))
% 92.26/92.08 [6117]E(x61171,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x61171)),f2(a1)))
% 92.26/92.08 [6118]E(x61181,f2(a1))+~P1(f317(f317(f225(a1),f317(f70(a1),x61181)),f72(a1)))
% 92.26/92.08 [6941]~P1(f317(f317(f225(a1),x69411),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x69411),x69411)),f2(a1)))
% 92.26/92.08 [7504]P1(f317(f317(f225(a1),x75041),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x75041),x75041)),f2(a1)))
% 92.26/92.08 [8055]E(x80551,f317(a3,f2(a897)))+P1(f317(f317(f225(a897),f317(f317(f23(a897),f317(a20,x80551)),f317(a102,f2(a897)))),f317(a20,x80551)))
% 92.26/92.08 [8821]~P1(f317(f317(f225(a1),x88211),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88211),x88211)),a87)),f2(a1)))
% 92.26/92.08 [8918]~P1(f317(f317(f225(a1),x89181),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89181)),x89181)),f2(a1)))
% 92.26/92.08 [9238]P1(f317(f317(f225(a1),x92381),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92381),x92381)),a87)),f2(a1)))
% 92.26/92.08 [9300]P1(f317(f317(f225(a1),x93001),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x93001)),x93001)),f2(a1)))
% 92.26/92.08 [4748]~E(a77,x47481)+E(f317(f317(f74(a1),x47481),x47481),a77)
% 92.26/92.08 [4749]~E(x47491,a77)+E(f317(f317(f74(a1),x47491),x47491),a77)
% 92.26/92.08 [4760]E(x47601,f2(a1))+E(f317(f317(f31(a1),x47601),x47601),f72(a1))
% 92.26/92.08 [4894]E(x48941,a77)+~E(f317(f317(f74(a1),x48941),x48941),a77)
% 92.26/92.08 [4895]E(a77,x48951)+~E(f317(f317(f74(a1),x48951),x48951),a77)
% 92.26/92.08 [4897]~P94(x48971)+E(f317(f93(x48971),f317(f94(a1),a87)),f317(f94(x48971),a87))
% 92.26/92.08 [4907]~P5(x49071)+E(f33(x49071,f178(f904(x49071,a893))),f232(x49071))
% 92.26/92.08 [4908]~P5(x49081)+E(f33(x49081,f232(f904(x49081,a893))),f178(x49081))
% 92.26/92.08 [4909]~P5(x49091)+E(f32(x49091,f178(f904(x49091,a893))),f178(x49091))
% 92.26/92.08 [4910]~P5(x49101)+E(f32(x49101,f232(f904(x49101,a893))),f232(x49101))
% 92.26/92.08 [4911]~P107(x49111)+E(f129(x49111,f178(f904(x49111,a893))),f103(x49111))
% 92.26/92.08 [5057]E(x50571,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),x50571))
% 92.26/92.08 [5058]E(x50581,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),x50581))
% 92.26/92.08 [5078]~P6(x50781)+P1(f317(f317(f224(a1),f2(a1)),x50781))
% 92.26/92.08 [5111]~E(f317(f94(a897),x51111),f2(a897))+P1(f317(f317(f224(a1),x51111),a77))
% 92.26/92.08 [5112]~E(f317(f94(a897),x51121),f2(a897))+P1(f317(f317(f224(a1),x51121),a77))
% 92.26/92.08 [5117]P39(x51171)+P1(f317(f317(f319(a1),f796(x51171)),x51171))
% 92.26/92.08 [5118]E(x51181,f317(a3,f2(a897)))+P1(f317(f317(f224(a89),f72(a89)),x51181))
% 92.26/92.08 [5159]P1(f317(a183,x51591))+P1(f317(f317(f224(a1),f2(a1)),x51591))
% 92.26/92.08 [5209]E(f317(f90(a1),f317(a95,x52091)),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x52091))
% 92.26/92.08 [5252]~P2(x52521)+P1(f317(f29(x52521),f232(f904(x52521,a893))))
% 92.26/92.08 [5266]E(f317(f90(a1),f317(f94(a897),x52661)),f317(f94(a1),x52661))+P1(f317(a183,f317(f94(a1),x52661)))
% 92.26/92.08 [5269]~E(x52691,f2(a897))+P1(f317(f317(f225(a897),x52691),f317(a102,f2(a897))))
% 92.26/92.08 [5290]E(f317(f94(a897),x52901),f2(a897))+~P1(f317(f317(f224(a1),x52901),a77))
% 92.26/92.08 [5291]E(f317(f94(a897),x52911),f2(a897))+~P1(f317(a183,f317(f94(a1),x52911)))
% 92.26/92.08 [5292]E(f317(f94(a897),x52921),f2(a897))+~P1(f317(f317(f224(a1),x52921),a77))
% 92.26/92.08 [5324]P6(x53241)+~P1(f317(f317(f224(a1),f2(a1)),x53241))
% 92.26/92.08 [5337]~E(x53371,f2(a897))+~P1(f317(f317(f225(a897),f2(a897)),x53371))
% 92.26/92.08 [5360]~E(x53601,f317(a102,f2(a897)))+P1(f317(f317(f277(a897),x53601),f317(a102,f2(a897))))
% 92.26/92.08 [5380]P149(f222(a894,f34(x53801)))+~P1(f317(f317(f319(a895),x53801),a905))
% 92.26/92.08 [5395]E(f317(a102,f496(x53951)),x53951)+~P1(f317(f317(f225(a897),f2(a897)),x53951))
% 92.26/92.08 [5404]E(f317(a102,f317(f94(a897),x54041)),f72(a897))+~P1(f317(a183,f317(f94(a1),x54041)))
% 92.26/92.08 [5411]E(f317(f90(a1),f323(x54111)),x54111)+~P1(f317(f317(f225(a1),f2(a1)),x54111))
% 92.26/92.08 [5418]~E(x54181,f317(a3,f2(a897)))+~P1(f317(f317(f224(a89),f72(a89)),x54181))
% 92.26/92.08 [5425]E(f317(f90(a1),f317(f94(a897),x54251)),f2(a1))+~P1(f317(a183,f317(f94(a1),x54251)))
% 92.26/92.08 [5451]E(f317(f155(a897),x54511),f2(a897))+P1(f317(f317(f319(a897),f548(x54511)),f317(f162(a897),x54511)))
% 92.26/92.08 [5471]E(f317(f90(a1),f317(a95,x54711)),x54711)+~P1(f317(f317(f224(a1),f2(a1)),x54711))
% 92.26/92.08 [5472]E(f317(f90(a1),f317(a95,x54721)),x54721)+~P1(f317(f317(f224(a1),f2(a1)),x54721))
% 92.26/92.08 [5480]~P1(f317(a183,x54801))+~P1(f317(f317(f224(a1),f2(a1)),x54801))
% 92.26/92.08 [5580]E(f317(f317(f74(a897),f72(a897)),f317(f94(a897),x55801)),f72(a897))+~P1(f317(f317(f225(a1),x55801),a77))
% 92.26/92.08 [5646]E(x56461,f2(a897))+~P1(f317(f317(f225(a897),x56461),f317(a102,f2(a897))))
% 92.26/92.08 [5668]E(x56681,f317(a102,f2(a897)))+~P1(f317(f317(f277(a897),x56681),f317(a102,f2(a897))))
% 92.26/92.08 [5686]E(f317(f317(f23(a897),f317(f94(a897),x56861)),f72(a897)),f2(a897))+~P1(f317(f317(f224(a1),x56861),a77))
% 92.26/92.08 [5687]E(f317(f317(f74(a897),f317(f94(a897),x56871)),f72(a897)),f72(a897))+~P1(f317(f317(f225(a1),x56871),a77))
% 92.26/92.08 [5699]~P39(x56991)+E(f317(f30(a897),f317(f300(a1,a897,a95),x56991)),f317(f30(a1),x56991))
% 92.26/92.08 [5728]~P107(x57281)+E(f227(x57281,f317(f7(x57281,x57281,a893),f224(x57281))),f228(x57281))
% 92.26/92.08 [5729]~P107(x57291)+E(f226(x57291,f317(f7(x57291,x57291,a893),f224(x57291))),f223(x57291))
% 92.26/92.08 [5739]E(f41(a897,f317(a102,f2(a897)),f317(f94(a897),x57391)),f317(a102,f2(a897)))+~P1(f317(a183,f317(f94(a1),x57391)))
% 92.26/92.08 [5748]~P1(f317(f317(f225(a1),f2(a1)),x57481))+P1(f317(f317(f224(a1),f72(a1)),x57481))
% 92.26/92.08 [5749]P1(f317(f317(f225(a1),f2(a1)),x57491))+~P1(f317(f317(f224(a1),f72(a1)),x57491))
% 92.26/92.08 [5759]E(f317(a102,f317(f317(f23(a897),x57591),f72(a897))),x57591)+~P1(f317(f317(f225(a897),f2(a897)),x57591))
% 92.26/92.08 [5760]E(f317(a102,f317(f317(f23(a897),x57601),f72(a897))),x57601)+~P1(f317(f317(f225(a897),f2(a897)),x57601))
% 92.26/92.08 [5816]P1(f317(f317(f225(a897),f2(a897)),f323(x58161)))+~P1(f317(f317(f225(a1),f2(a1)),x58161))
% 92.26/92.08 [5877]E(f41(a1,f317(f94(a1),a87),x58771),f317(f317(f23(a1),x58771),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x58771))
% 92.26/92.08 [5923]~P1(f317(f317(f225(a1),a77),x59231))+P1(f317(f317(f225(a897),f2(a897)),f317(f94(a897),x59231)))
% 92.26/92.08 [5928]E(f317(a20,f786(x59281)),x59281)+~P1(f317(f317(f319(a897),x59281),f232(f904(a897,a893))))
% 92.26/92.08 [5981]P1(f317(f317(f225(a897),f2(a897)),f317(a95,x59811)))+~P1(f317(f317(f225(a1),f2(a1)),x59811))
% 92.26/92.08 [6001]E(f317(a20,f317(a3,x60011)),x60011)+~P1(f317(f317(f319(a897),x60011),f232(f904(a897,a893))))
% 92.26/92.08 [6032]~P1(f317(f317(f225(a897),f2(a897)),x60321))+P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x60321)))
% 92.26/92.08 [6068]~P1(f317(f317(f225(a897),f2(a897)),f317(a95,x60681)))+P1(f317(f317(f225(a1),f2(a1)),x60681))
% 92.26/92.08 [6083]~P39(x60831)+E(f317(f300(a897,a1,f90(a1)),f317(f300(a1,a897,a95),x60831)),x60831)
% 92.26/92.08 [6096]P1(f317(f317(f225(a1),a77),x60961))+~P1(f317(f317(f225(a897),f2(a897)),f317(f94(a897),x60961)))
% 92.26/92.08 [6155]P1(f317(f317(f225(a897),f2(a897)),x61551))+~P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x61551)))
% 92.26/92.08 [6190]E(f169(x61901,f103(f898(x61901))),f103(f898(x61901)))+~P1(f317(f305(f898(f898(x61901)),f170(x61901)),f103(f898(x61901))))
% 92.26/92.08 [6273]E(f317(f300(a897,a1,f90(a1)),f317(f272(a897),f317(a95,x62731))),f317(f292(a1,f2(a1)),x62731))+~P1(f317(f317(f224(a1),f2(a1)),x62731))
% 92.26/92.08 [6291]~P110(x62911)+P1(f317(f317(f225(x62911),f2(x62911)),f317(f317(f74(x62911),f72(x62911)),f72(x62911))))
% 92.26/92.08 [6342]P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(a95,x63421)))+~P1(f317(f317(f225(a1),f72(a1)),x63421))
% 92.26/92.08 [6444]E(x64441,f2(a1))+P1(f317(f45(f2(a1),x64441),f317(f317(f242(a1,a1),f2(a1)),f2(a1))))
% 92.26/92.09 [6618]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(a95,x66181)))+P1(f317(f317(f225(a1),f72(a1)),x66181))
% 92.26/92.09 [6668]E(f317(a102,f317(f317(f23(a897),f317(f94(a897),x66681)),f72(a897))),f317(f94(a897),x66681))+~P1(f317(f317(f225(a897),f2(a897)),f317(f94(a897),x66681)))
% 92.26/92.09 [7059]~P116(x70591)+P36(x70591,f317(f252(f903(x70591,x70591)),f317(f247(x70591,x70591,a893),f225(x70591))))
% 92.26/92.09 [5633]E(f317(f94(a897),f317(f317(f23(a1),x56331),a87)),f317(a102,f317(f94(a897),x56331)))+P1(f317(a183,f317(f94(a1),x56331)))
% 92.26/92.09 [5649]~P35(x56491)+E(f317(f317(f144(a897,a1),f90(a1)),f317(f317(f144(a1,a897),a95),x56491)),x56491)
% 92.26/92.09 [5766]E(f317(f73(a1),f317(f90(a1),f317(a102,f324(x57661)))),x57661)+~P1(f317(f317(f225(a1),x57661),f2(a1)))
% 92.26/92.09 [5776]E(f317(f317(f74(a897),f72(a897)),f317(f94(a897),x57761)),f317(f94(a897),f317(f317(f23(a1),x57761),a87)))+P1(f317(f317(f225(a1),x57761),a77))
% 92.26/92.09 [5818]E(f317(f317(f31(a1),f317(f94(a1),a87)),x58181),f317(f94(a1),a87))+~P1(f317(f317(f225(a1),f2(a1)),x58181))
% 92.26/92.09 [5919]E(f317(f317(f23(a897),f317(f94(a897),x59191)),f72(a897)),f317(f94(a897),f317(f317(f74(a1),x59191),a87)))+P1(f317(f317(f224(a1),x59191),a77))
% 92.26/92.09 [5920]E(f317(f317(f74(a897),f317(f94(a897),x59201)),f72(a897)),f317(f94(a897),f317(f317(f23(a1),x59201),a87)))+P1(f317(f317(f225(a1),x59201),a77))
% 92.26/92.09 [5966]E(f317(a95,f317(f317(f74(a1),f72(a1)),x59661)),f317(a102,f317(a95,x59661)))+~P1(f317(f317(f224(a1),f2(a1)),x59661))
% 92.26/92.09 [6003]E(f317(a102,f317(f317(f23(a897),x60031),f317(a102,f2(a897)))),x60031)+~P1(f317(f317(f225(a897),f2(a897)),x60031))
% 92.26/92.09 [6222]E(f41(a897,f317(a102,f2(a897)),f317(f94(a897),x62221)),f317(a95,f41(a1,f72(a1),f317(f94(a1),x62221))))+P1(f317(a183,f317(f94(a1),x62221)))
% 92.26/92.09 [6266]~P1(f317(f317(f224(a1),a77),x62661))+P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x62661),x62661)))
% 92.26/92.09 [6267]~P1(f317(f317(f225(a1),a87),x62671))+P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x62671),x62671)))
% 92.26/92.09 [6268]~P1(f317(f317(f225(a1),a77),x62681))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x62681),x62681)))
% 92.26/92.09 [6269]~P1(f317(f317(f225(a1),a87),x62691))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x62691),x62691)))
% 92.26/92.09 [6458]~P1(f317(f29(x64581),f232(f904(x64581,a893))))+P1(f317(f29(f900(x64581)),f232(f904(f900(x64581),a893))))
% 92.26/92.09 [6545]~P1(f317(f317(f224(a1),f2(a1)),x65451))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65451)))
% 92.26/92.09 [6552]E(f317(f241(a1,a1),f43(f72(a1),f317(f94(a1),x65521))),f317(f317(f31(a1),f72(a1)),f317(f94(a1),x65521)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65521)))
% 92.26/92.09 [6577]E(f317(f246(a1,a1),f43(f72(a1),f317(f94(a1),x65771))),f41(a1,f72(a1),f317(f94(a1),x65771)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65771)))
% 92.26/92.09 [6589]P1(f317(f29(x65891),f232(f904(x65891,a893))))+~P1(f317(f29(f900(x65891)),f232(f904(f900(x65891),a893))))
% 92.26/92.09 [6619]P1(f317(f317(f224(a1),a77),x66191))+~P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x66191),x66191)))
% 92.26/92.09 [6620]P1(f317(f317(f225(a1),a77),x66201))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x66201),x66201)))
% 92.26/92.09 [6621]P1(f317(f317(f225(a1),a87),x66211))+~P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x66211),x66211)))
% 92.26/92.09 [6622]P1(f317(f317(f225(a1),a87),x66221))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x66221),x66221)))
% 92.26/92.09 [6817]~P1(f317(f29(a897),x68171))+P1(f317(f29(a1),f317(f300(a897,a1,f90(a1)),x68171)))
% 92.26/92.09 [6945]~P1(f317(f29(x69451),f232(f904(x69451,a893))))+P1(f317(f317(f225(a897),f2(a897)),f317(f30(x69451),f232(f904(x69451,a893)))))
% 92.26/92.09 [7542]P1(f317(f29(a897),x75421))+~P1(f317(f29(a1),f317(f300(a897,a1,f90(a1)),x75421)))
% 92.26/92.09 [5556]~E(a87,x55561)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55561),x55561)),a87),a87)
% 92.26/92.09 [5557]~E(x55571,a87)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55571),x55571)),a87),a87)
% 92.26/92.09 [6091]E(x60911,a87)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60911),x60911)),a87),a87)
% 92.26/92.09 [6092]E(a87,x60921)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60921),x60921)),a87),a87)
% 92.26/92.09 [6514]~E(f317(f94(a897),x65141),f2(a897))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x65141),a87))))
% 92.26/92.09 [6875]~P1(f317(a183,f317(f94(a1),x68751)))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x68751),x68751))))
% 92.26/92.09 [6876]~P1(f317(f317(f224(a1),x68761),a77))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68761),x68761)),a77))
% 92.26/92.09 [6877]~P1(f317(f317(f224(a1),x68771),a87))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68771),x68771)),a87))
% 92.26/92.09 [6878]~P1(f317(f317(f225(a1),x68781),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68781),x68781)),a77))
% 92.26/92.09 [6879]~P1(f317(f317(f224(a1),x68791),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68791),x68791)),a87))
% 92.26/92.09 [7205]E(f317(f94(a897),x72051),f2(a897))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x72051),a87))))
% 92.26/92.09 [7457]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x74571)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),x74571),x74571))))
% 92.26/92.09 [7458]P1(f317(a183,f317(f94(a1),x74581)))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x74581),x74581))))
% 92.26/92.09 [7459]P1(f317(f317(f224(a1),x74591),a77))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74591),x74591)),a77))
% 92.26/92.09 [7460]P1(f317(f317(f224(a1),x74601),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74601),x74601)),a87))
% 92.26/92.09 [7461]P1(f317(f317(f224(a1),x74611),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74611),x74611)),a87))
% 92.26/92.09 [7462]P1(f317(f317(f225(a1),x74621),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74621),x74621)),a77))
% 92.26/92.09 [7824]E(f317(a97,f510(x78241)),x78241)+~P1(f317(f317(f319(f904(f903(a897,a897),a893)),x78241),a88))
% 92.26/92.09 [6430]~P94(x64301)+E(f317(f94(x64301),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64301))
% 92.26/92.09 [6431]~P94(x64311)+E(f317(f94(x64311),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64311))
% 92.26/92.09 [6925]~P1(f317(a183,f317(f94(a1),x69251)))+E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x69251),x69251)),a87)),f2(a897))
% 92.26/92.09 [8000]~P1(f317(f317(f225(a1),f317(f94(a1),x80001)),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f46(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80001))))),f317(f317(f31(a1),f72(a1)),f317(f94(a1),x80001)))
% 92.26/92.09 [8013]~P1(f317(f317(f225(a1),f317(f94(a1),x80131)),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f46(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80131))))),f41(a1,f72(a1),f317(f94(a1),x80131)))
% 92.26/92.09 [8062]~P1(f317(f317(f224(a1),a77),x80621))+P1(f317(f317(f224(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80621),x80621)),a87)))
% 92.26/92.09 [8063]~P1(f317(f317(f224(a1),a87),x80631))+P1(f317(f317(f224(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80631),x80631)),a87)))
% 92.26/92.09 [8064]~P1(f317(f317(f224(a1),a77),x80641))+P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80641),x80641)),a87)))
% 92.26/92.09 [8065]~P1(f317(f317(f225(a1),a87),x80651))+P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80651),x80651)),a87)))
% 92.26/92.09 [8363]~P94(x83631)+~P27(x83631,f317(f94(x83631),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 92.26/92.09 [8546]P1(f317(f317(f224(a1),a77),x85461))+~P1(f317(f317(f224(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85461),x85461)),a87)))
% 92.26/92.09 [8547]P1(f317(f317(f224(a1),a77),x85471))+~P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85471),x85471)),a87)))
% 92.26/92.09 [8548]P1(f317(f317(f224(a1),a87),x85481))+~P1(f317(f317(f224(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85481),x85481)),a87)))
% 92.26/92.09 [8549]P1(f317(f317(f225(a1),a87),x85491))+~P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85491),x85491)),a87)))
% 92.26/92.09 [8868]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x88681),x88681)),a87)),f317(f317(f80(a897,a897),f317(f94(a897),x88681)),f317(f317(f8(a897,a897,a897),a102),f317(f317(f18(a897,a897,a897),f74(a897)),f5(a897)))))+P1(f317(a183,f317(f94(a1),x88681)))
% 92.26/92.09 [9737]E(x97371,f178(f904(f903(a897,a897),a893)))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x97371),f178(f904(f903(a897,a897),a893)))),a27))
% 92.26/92.09 [8795]~P1(f317(a183,f317(f94(a1),x87951)))+P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87951),x87951)),a87))))
% 92.26/92.09 [8796]~P1(f317(f317(f225(a1),x87961),a77))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87961),x87961)),a87)),a77))
% 92.26/92.09 [8797]~P1(f317(f317(f224(a1),x87971),a87))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87971),x87971)),a87)),a87))
% 92.26/92.09 [8798]~P1(f317(f317(f225(a1),x87981),a77))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87981),x87981)),a87)),a77))
% 92.26/92.09 [8799]~P1(f317(f317(f225(a1),x87991),a87))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87991),x87991)),a87)),a87))
% 92.26/92.09 [8909]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x89091)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x89091),x89091)),a87))))
% 92.26/92.09 [9067]~P94(x90671)+E(f317(f317(f74(x90671),f72(x90671)),f72(x90671)),f317(f94(x90671),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 92.26/92.09 [9222]P1(f317(a183,f317(f94(a1),x92221)))+~P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92221),x92221)),a87))))
% 92.26/92.09 [9223]P1(f317(f317(f224(a1),x92231),a87))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92231),x92231)),a87)),a87))
% 92.26/92.09 [9224]P1(f317(f317(f225(a1),x92241),a77))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92241),x92241)),a87)),a77))
% 92.26/92.09 [9225]P1(f317(f317(f225(a1),x92251),a77))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92251),x92251)),a87)),a77))
% 92.26/92.09 [9226]P1(f317(f317(f225(a1),x92261),a87))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92261),x92261)),a87)),a87))
% 92.26/92.09 [9782]~P1(f317(f29(f903(a897,a897)),x97821))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f178(f904(f903(a897,a897),a893))),x97821)),a64))
% 92.26/92.09 [9559]~P144(x95591)+E(f317(f317(f234(x95591),f72(x95591)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95591))
% 92.26/92.09 [9560]~P144(x95601)+E(f317(f317(f234(x95601),f2(x95601)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95601))
% 92.26/92.09 [10005]~P1(f317(f317(f225(a897),f72(a897)),x100051))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f31(a897),x100051),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.26/92.09 [10011]~P1(f317(f317(f225(a897),f2(a897)),x100111))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f31(a897),f317(f317(f74(a897),x100111),f72(a897))),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.26/92.09 [10049]~E(f41(a897,x100491,f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a897))+P1(f317(f317(f225(a897),f2(a897)),f41(a897,x100491,f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.26/92.09 [10079]E(f41(a897,x100791,f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),f41(a897,x100791,f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.26/92.09 [4679]~P7(x46791,x46792)+P42(x46791,x46792)
% 92.26/92.09 [4680]~P7(x46801,x46802)+P42(x46801,x46802)
% 92.26/92.09 [4681]~P36(x46811,x46812)+P57(x46811,x46812)
% 92.26/92.09 [4682]~P43(x46821,x46822)+P57(x46821,x46822)
% 92.26/92.09 [4683]~P7(x46831,x46832)+P49(x46831,x46832)
% 92.26/92.09 [4684]~P7(x46841,x46842)+P49(x46841,x46842)
% 92.26/92.09 [4685]~P15(x46851,x46852)+P49(x46851,x46852)
% 92.26/92.09 [4686]~P15(x46861,x46862)+P49(x46861,x46862)
% 92.26/92.09 [4687]~P7(x46871,x46872)+P50(x46871,x46872)
% 92.26/92.09 [4688]~P7(x46881,x46882)+P50(x46881,x46882)
% 92.26/92.09 [4689]~P15(x46891,x46892)+P50(x46891,x46892)
% 92.26/92.09 [4690]~P15(x46901,x46902)+P50(x46901,x46902)
% 92.26/92.09 [4691]~P7(x46911,x46912)+P15(x46911,x46912)
% 92.26/92.09 [4641]~E(x46411,x46412)+E(f259(x46411,x46412),f72(a89))
% 92.26/92.09 [4644]E(f206(x46441,x46442),x46441)+~E(x46442,f2(a897))
% 92.26/92.09 [4650]~E(x46502,f103(x46501))+E(f142(x46501,x46502),f103(x46501))
% 92.26/92.09 [4651]~E(x46512,f103(x46511))+E(f142(x46511,x46512),f103(x46511))
% 92.26/92.09 [4669]~E(f142(x46692,x46691),f103(x46692))+E(x46691,f103(x46692))
% 92.26/92.09 [4670]~E(f142(x46702,x46701),f103(x46702))+E(x46701,f103(x46702))
% 92.26/92.09 [4695]~P65(x46952)+P65(f904(x46951,x46952))
% 92.26/92.09 [4696]~P66(x46962)+P66(f904(x46961,x46962))
% 92.26/92.09 [4697]~P108(x46972)+P108(f904(x46971,x46972))
% 92.26/92.09 [4698]~P109(x46982)+P109(f904(x46981,x46982))
% 92.26/92.09 [4699]~P69(x46992)+P69(f904(x46991,x46992))
% 92.26/92.09 [4700]~P89(x47002)+P89(f904(x47001,x47002))
% 92.26/92.09 [4701]~P96(x47012)+P96(f904(x47011,x47012))
% 92.26/92.09 [4702]~P99(x47022)+P98(f904(x47021,x47022))
% 92.26/92.09 [4703]~P99(x47032)+P99(f904(x47031,x47032))
% 92.26/92.09 [4704]~P101(x47042)+P100(f904(x47041,x47042))
% 92.26/92.09 [4705]~P5(x47052)+P5(f904(x47051,x47052))
% 92.26/92.09 [4706]~P102(x47062)+P102(f904(x47061,x47062))
% 92.26/92.09 [4707]~P99(x47072)+P104(f904(x47071,x47072))
% 92.26/92.09 [4708]~P101(x47082)+P103(f904(x47081,x47082))
% 92.26/92.09 [4709]~P115(x47092)+P115(f904(x47091,x47092))
% 92.26/92.09 [4710]~P101(x47102)+P101(f904(x47101,x47102))
% 92.26/92.09 [4722]E(x47221,x47222)+~E(f317(a102,x47221),f317(a102,x47222))
% 92.26/92.09 [4723]E(x47231,x47232)+~E(f317(a102,x47231),f317(a102,x47232))
% 92.26/92.09 [4724]E(x47241,x47242)+~E(f317(a97,x47241),f317(a97,x47242))
% 92.26/92.09 [4725]E(x47251,x47252)+~E(f317(a3,x47251),f317(a3,x47252))
% 92.26/92.09 [4726]E(x47261,x47262)+~E(f317(a20,x47261),f317(a20,x47262))
% 92.26/92.09 [4727]E(x47271,x47272)+~E(f317(a20,x47271),f317(a20,x47272))
% 92.26/92.09 [4776]P38(x47761,x47762)+~E(f683(x47762,x47761),f684(x47762,x47761))
% 92.26/92.09 [4806]~P57(x48061,x48062)+P38(x48061,f297(x48061,x48062))
% 92.26/92.09 [4807]~P51(x48071,x48072)+P51(x48071,f297(x48071,x48072))
% 92.26/92.09 [4820]~P3(x48201)+E(f41(x48201,x48202,x48202),f2(x48201))
% 92.26/92.09 [4854]~P36(x48541,x48542)+P36(f898(x48541),f136(x48541,x48542))
% 92.26/92.09 [4855]~P36(x48551,x48552)+P36(f898(x48551),f135(x48551,x48552))
% 92.26/92.09 [4856]~P37(x48561,x48562)+P37(f898(x48561),f137(x48561,x48562))
% 92.26/92.09 [4857]~P37(x48571,x48572)+P37(f898(x48571),f148(x48571,x48572))
% 92.26/92.09 [4858]~P51(x48581,x48582)+P51(f898(x48581),f148(x48581,x48582))
% 92.26/92.09 [4955]~P36(x49551,x49552)+P36(f904(x49551,a893),f308(x49551,x49552))
% 92.26/92.09 [4956]~P36(x49561,x49562)+P36(f904(x49561,a893),f309(x49561,x49562))
% 92.26/92.09 [5087]~P6(x50871)+P39(f293(a1,x50871,x50872))
% 92.26/92.09 [5190]~P36(x51901,x51902)+P59(x51901,f62(x51901,x51901,x51902))
% 92.26/92.09 [5693]~P67(x56931)+P24(x56931,x56931,f73(x56931),x56932)
% 92.26/92.09 [4664]~E(x46642,f103(x46641))+E(f317(f158(x46641),x46642),f103(x46641))
% 92.26/92.09 [4665]~E(x46652,f103(x46651))+E(f317(f157(x46651),x46652),f103(x46651))
% 92.26/92.09 [4666]~E(x46662,f103(x46661))+E(f317(f158(x46661),x46662),f103(x46661))
% 92.26/92.09 [4729]E(x47291,f317(a95,x47292))+~E(f317(f90(a1),x47291),x47292)
% 92.26/92.09 [4731]E(x47311,f103(x47312))+~E(f317(f158(x47312),x47311),f103(x47312))
% 92.26/92.09 [4732]E(x47321,f103(x47322))+~E(f317(f157(x47322),x47321),f103(x47322))
% 92.26/92.09 [4733]E(x47331,f103(x47332))+~E(f317(f158(x47332),x47331),f103(x47332))
% 92.26/92.09 [4745]~P94(x47451)+E(f317(f94(x47451),x47452),f317(f93(x47451),x47452))
% 92.26/92.09 [4752]~P2(x47521)+P1(f317(f29(x47521),x47522))
% 92.26/92.09 [4753]~P2(x47531)+P1(f317(f29(x47531),x47532))
% 92.26/92.09 [4761]~E(f643(x47612,x47611),f103(x47611))+E(f169(x47611,x47612),f103(f898(x47611)))
% 92.26/92.09 [4770]~E(x47702,f103(x47701))+E(f317(f162(x47701),x47702),f178(f904(x47701,a893)))
% 92.26/92.09 [4771]~E(x47712,f103(x47711))+E(f178(f904(x47711,a893)),f317(f162(x47711),x47712))
% 92.26/92.09 [4772]E(x47721,x47722)+~E(f317(f90(a1),x47721),f317(f90(a1),x47722))
% 92.26/92.09 [4773]E(x47731,x47732)+~E(f317(f90(a1),x47731),f317(f90(a1),x47732))
% 92.26/92.09 [4777]E(f204(x47771,x47772),f2(a897))+P1(f317(f29(x47771),x47772))
% 92.26/92.09 [4795]~P126(x47951)+E(f76(x47951,f76(x47951,x47952)),f76(x47951,x47952))
% 92.26/92.09 [4809]~P81(x48091)+E(f317(f317(f234(x48091),x48092),f72(a897)),x48092)
% 92.26/92.09 [4810]~P119(x48101)+E(f317(f317(f234(x48101),x48102),f72(a897)),x48102)
% 92.26/92.09 [4811]~P51(x48111,x48112)+E(f317(f276(x48111,x48111),x48112),x48112)
% 92.26/92.09 [4815]E(x48151,x48152)+E(f259(x48151,x48152),f317(f317(f74(a89),x48152),f72(a89)))
% 92.26/92.09 [4816]E(f317(f30(x48161),x48162),f2(a897))+P1(f317(f29(x48161),x48162))
% 92.26/92.09 [4817]E(f317(f30(x48171),x48172),f2(a897))+P1(f317(f29(x48171),x48172))
% 92.26/92.09 [4818]E(f317(f30(x48181),x48182),f2(a897))+P1(f317(f29(x48181),x48182))
% 92.26/92.09 [4821]~E(f142(x48211,x48212),x48212)+P1(f317(f127(x48211),x48212))
% 92.26/92.09 [4824]~P75(x48241)+E(f317(f317(f23(x48241),x48242),f2(x48241)),x48242)
% 92.26/92.09 [4825]~P82(x48251)+E(f317(f317(f74(x48251),x48252),f2(x48251)),x48252)
% 92.26/92.09 [4826]~P77(x48261)+E(f317(f317(f74(x48261),x48262),f2(x48261)),x48262)
% 92.26/92.09 [4827]~P119(x48271)+E(f317(f317(f74(x48271),x48272),f2(x48271)),x48272)
% 92.26/92.09 [4828]~P81(x48281)+E(f317(f317(f75(x48281),x48282),f72(x48281)),x48282)
% 92.26/92.09 [4829]~P76(x48291)+E(f317(f317(f75(x48291),x48292),f72(x48291)),x48292)
% 92.26/92.09 [4830]~P119(x48301)+E(f317(f317(f75(x48301),x48302),f72(x48301)),x48302)
% 92.26/92.09 [4831]~P3(x48311)+E(f317(f317(f31(x48311),x48312),f72(x48311)),x48312)
% 92.26/92.09 [4832]~P122(x48321)+E(f317(f317(f281(x48321),x48322),f72(x48321)),x48322)
% 92.26/92.09 [4833]~P100(x48331)+E(f317(f317(f91(x48331),x48332),f178(x48331)),x48332)
% 92.26/92.09 [4834]~P103(x48341)+E(f317(f317(f92(x48341),x48342),f232(x48341)),x48342)
% 92.26/92.09 [4835]~P119(x48351)+E(f317(f317(f234(x48351),x48352),f2(a897)),f72(x48351))
% 92.26/92.09 [4836]~P114(x48361)+E(f317(f317(f234(x48361),x48362),f2(a897)),f72(x48361))
% 92.26/92.09 [4837]~E(x48372,f178(f904(x48371,a893)))+E(f317(f30(x48371),x48372),f2(a897))
% 92.26/92.09 [4848]~P3(x48481)+E(f41(x48481,x48482,f2(x48481)),x48482)
% 92.26/92.09 [4859]~P133(x48591)+E(f317(f317(f75(x48591),x48592),f2(x48591)),f2(x48591))
% 92.26/92.09 [4860]~P119(x48601)+E(f317(f317(f75(x48601),x48602),f2(x48601)),f2(x48601))
% 92.26/92.09 [4861]~P3(x48611)+E(f317(f317(f31(x48611),x48612),f2(x48611)),f2(x48611))
% 92.26/92.09 [4862]~P123(x48621)+E(f317(f317(f281(x48621),x48622),f2(x48621)),f2(x48621))
% 92.26/92.09 [4863]~P103(x48631)+E(f317(f317(f91(x48631),x48632),f232(x48631)),f232(x48631))
% 92.26/92.09 [4864]~P100(x48641)+E(f317(f317(f92(x48641),x48642),f178(x48641)),f178(x48641))
% 92.26/92.09 [4866]~P3(x48661)+E(f41(x48661,x48662,f72(x48661)),f2(x48661))
% 92.26/92.09 [4867]~P3(x48671)+E(f41(x48671,f2(x48671),x48672),f2(x48671))
% 92.26/92.09 [4896]E(x48961,f2(a897))+E(f51(x48962,x48961,f103(x48962)),f103(f898(x48962)))
% 92.26/92.09 [4919]P51(x49191,x49192)+~E(f317(f276(x49191,x49191),x49192),x49192)
% 92.26/92.09 [4920]P36(x49201,x49202)+~E(f549(x49202,x49201),f178(f904(x49201,a893)))
% 92.26/92.09 [4921]E(x49211,f103(x49212))+~E(f317(f162(x49212),x49211),f178(f904(x49212,a893)))
% 92.26/92.09 [4922]E(x49221,f103(x49222))+~E(f178(f904(x49222,a893)),f317(f162(x49222),x49221))
% 92.26/92.09 [4925]~E(x49251,x49252)+P1(f317(f317(a314,x49251),x49252))
% 92.26/92.09 [4935]P1(x49351)+P1(f317(f317(a320,x49351),x49352))
% 92.26/92.09 [4936]E(x49361,f103(x49362))+E(f317(f317(f154(x49362),x49361),f2(a897)),f317(f131(x49362),x49361))
% 92.26/92.09 [4938]E(f142(x49381,x49382),x49382)+~P1(f317(f127(x49381),x49382))
% 92.26/92.09 [4939]E(f142(x49391,x49392),x49392)+~P1(f317(f127(x49391),x49392))
% 92.26/92.09 [4946]~P1(x49462)+P1(f317(f317(a320,x49461),x49462))
% 92.26/92.09 [4947]~P1(x49472)+P1(f317(f317(a316,x49471),x49472))
% 92.26/92.09 [4948]~P1(x49481)+P1(f317(f317(a316,x49481),x49482))
% 92.26/92.09 [4958]~E(f644(x49582,x49581),f648(x49582,x49581))+P1(f317(f127(x49581),x49582))
% 92.26/92.09 [4965]E(f317(f252(x49651),x49652),f178(f904(x49651,a893)))+P1(f317(x49652,f495(x49652)))
% 92.26/92.09 [4966]E(f178(f904(x49661,a893)),f317(f252(x49661),x49662))+P1(f317(x49662,f518(x49662)))
% 92.26/92.09 [5039]~P126(x50391)+E(f317(f317(f75(x50391),x50392),f76(x50391,x50392)),f317(f70(x50391),x50392))
% 92.26/92.09 [5050]~E(x50501,f2(a1))+E(f42(x50501,x50502),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 92.26/92.09 [5051]~E(x50511,f2(a1))+E(f42(x50511,x50512),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 92.26/92.09 [5083]~P57(x50831,x50832)+P57(x50831,f317(f276(x50831,x50831),x50832))
% 92.26/92.09 [5084]~P37(x50841,x50842)+P37(x50841,f317(f276(x50841,x50841),x50842))
% 92.26/92.09 [5085]~P38(x50851,x50852)+P38(x50851,f317(f276(x50851,x50851),x50852))
% 92.26/92.09 [5086]~P51(x50861,x50862)+P51(x50861,f317(f276(x50861,x50861),x50862))
% 92.26/92.09 [5108]E(x51081,x51082)+~P1(f317(f317(a314,x51081),x51082))
% 92.26/92.09 [5119]P1(x51191)+~P1(f317(f317(a315,x51192),x51191))
% 92.26/92.09 [5120]P1(x51201)+~P1(f317(f317(a315,x51201),x51202))
% 92.26/92.09 [5125]~P115(x51251)+P1(f317(f317(f224(x51251),x51252),f232(x51251)))
% 92.26/92.09 [5126]~P119(x51261)+P1(f317(f317(f277(x51261),x51262),f2(x51261)))
% 92.26/92.09 [5130]E(x51301,x51302)+~E(f317(x51301,f401(x51302,x51301)),f317(x51302,f401(x51302,x51301)))
% 92.26/92.09 [5161]E(x51611,f2(a897))+E(f206(x51611,f41(a897,x51612,x51611)),f206(x51612,x51611))
% 92.26/92.09 [5166]~P107(x51661)+P13(x51661,f317(f317(f141(x51661),x51662),f103(x51661)))
% 92.26/92.09 [5168]E(x51681,f2(a1))+P1(f317(f45(x51682,x51681),f42(x51682,x51681)))
% 92.26/92.09 [5185]~P15(x51852,x51851)+P1(f317(f317(x51851,f779(x51851)),f779(x51851)))
% 92.26/92.09 [5188]~E(x51881,x51882)+P1(f317(f317(f225(a897),x51881),f317(a102,x51882)))
% 92.26/92.09 [5198]~E(x51981,f2(a897))+P1(f317(f317(f225(a897),x51981),f317(a102,x51982)))
% 92.26/92.09 [5208]P1(f317(x52081,x52082))+P1(f317(f317(f224(a1),f2(a1)),f847(x52081)))
% 92.26/92.09 [5271]P57(x52711,x52712)+~P57(x52711,f317(f276(x52711,x52711),x52712))
% 92.26/92.09 [5272]P37(x52721,x52722)+~P37(x52721,f317(f276(x52721,x52721),x52722))
% 92.26/92.09 [5273]P38(x52731,x52732)+~P38(x52731,f317(f276(x52731,x52731),x52732))
% 92.26/92.09 [5274]P51(x52741,x52742)+~P51(x52741,f317(f276(x52741,x52741),x52742))
% 92.26/92.09 [5277]~E(f41(a897,x52772,x52771),f2(a897))+E(f317(f317(f75(a897),x52771),f851(x52771,x52772)),x52772)
% 92.26/92.09 [5278]~E(f41(a1,x52782,x52781),f2(a1))+E(f317(f317(f75(a1),x52781),f852(x52781,x52782)),x52782)
% 92.26/92.09 [5283]~E(x52831,f317(a102,x52832))+P1(f317(f317(f224(a897),x52831),f317(a102,x52832)))
% 92.26/92.09 [5305]~P1(f317(x53051,x53052))+P1(f317(f317(f224(a1),f2(a1)),f797(x53051)))
% 92.26/92.09 [5316]E(f317(f317(f23(a897),f317(a95,x53161)),f317(a95,x53162)),f317(a95,x53161))+~P1(f317(a183,x53162))
% 92.26/92.09 [5339]E(f262(x53391,x53392),f72(a89))+~P1(f317(f317(f224(a89),x53391),f72(a89)))
% 92.26/92.09 [5437]E(f317(f317(f154(x54371),x54372),f644(x54372,x54371)),f317(f317(f154(x54371),x54372),f648(x54372,x54371)))+P1(f317(f127(x54371),x54372))
% 92.26/92.09 [5481]~P1(f317(x54811,f84(x54812,x54811)))+P1(f317(x54811,f550(x54812,x54811)))
% 92.26/92.09 [5546]P59(x55461,x55462)+~P1(f317(f305(x55461,x55462),f519(x55462,x55461)))
% 92.26/92.09 [5690]~P15(x56902,x56901)+P1(f317(f317(x56901,f780(x56901,x56902)),f780(x56901,x56902)))
% 92.26/92.09 [5691]~P15(x56912,x56911)+P1(f317(f317(x56911,f783(x56911,x56912)),f783(x56911,x56912)))
% 92.26/92.09 [5700]~E(f317(a102,f41(a897,x57001,x57002)),x57002)+E(f41(a897,f317(a102,x57001),x57002),f2(a897))
% 92.26/92.09 [5755]P36(x57551,x57552)+P1(f317(f317(f319(x57551),f600(x57552,x57551)),f601(x57552,x57551)))
% 92.26/92.09 [5762]~P94(x57621)+P1(f317(f317(f319(x57621),f317(f94(x57621),x57622)),f100(x57621)))
% 92.26/92.09 [5763]~P140(x57631)+P1(f317(f317(f319(x57631),f317(f90(x57631),x57632)),f100(x57631)))
% 92.26/92.09 [5764]~P144(x57641)+P1(f317(f317(f319(x57641),f317(f90(x57641),x57642)),f176(x57641)))
% 92.26/92.09 [5765]~P140(x57651)+P1(f317(f317(f319(x57651),f317(f93(x57651),x57652)),f100(x57651)))
% 92.26/92.09 [5908]~P37(x59081,x59082)+E(f317(f317(f279(x59081,x59081,x59081),x59082),f297(x59081,x59082)),x59082)
% 92.26/92.09 [5922]E(f317(a102,f41(a897,x59221,x59222)),x59222)+E(f41(a897,f317(a102,x59221),x59222),f317(a102,f41(a897,x59221,x59222)))
% 92.26/92.09 [6355]P36(x63551,x63552)+~P1(f317(f317(f319(x63551),f521(x63552,x63551)),f306(x63551,x63552)))
% 92.26/92.09 [6394]~P110(x63941)+~P1(f317(f317(f225(x63941),f317(f90(x63941),x63942)),f2(x63941)))
% 92.26/92.09 [6395]~P85(x63951)+~P1(f317(f317(f225(x63951),f317(f70(x63951),x63952)),f2(x63951)))
% 92.26/92.09 [6484]P1(f317(f317(f225(a1),x64841),f41(a1,x64842,x64841)))+~P1(f317(f317(f225(a1),x64841),f2(a1)))
% 92.26/92.09 [6485]P1(f317(f317(f225(a1),x64851),f41(a1,x64852,x64851)))+~P1(f317(f317(f225(a1),x64851),f2(a1)))
% 92.26/92.09 [6591]E(f317(f317(f299(a897),f317(a102,x65911)),f293(a897,x65912,x65911)),f293(a897,x65912,f317(a102,x65911)))+~P1(f317(f317(f224(a897),x65912),f317(a102,x65911)))
% 92.26/92.09 [6683]~P107(x66831)+P13(x66831,f140(x66831,x66831,f5(x66831),x66832))
% 92.26/92.09 [6815]E(f317(f157(x68151),x68152),x68152)+~P1(f317(f317(f224(a897),f317(f179(f898(x68151)),x68152)),f72(a897)))
% 92.26/92.09 [6837]~P85(x68371)+P1(f317(f317(f224(x68371),f317(f73(x68371),f317(f70(x68371),x68372))),f2(x68371)))
% 92.26/92.09 [6871]~P36(x68711,x68712)+P36(x68711,f317(f317(f279(x68711,x68711,x68711),x68712),f297(x68711,x68712)))
% 92.26/92.09 [6872]~P51(x68721,x68722)+P51(x68721,f317(f317(f279(x68721,x68721,x68721),x68722),f297(x68721,x68722)))
% 92.26/92.09 [7098]~P1(f317(f317(f225(a1),x70982),f2(a1)))+P1(f317(f317(f224(a1),f41(a1,x70981,x70982)),f2(a1)))
% 92.26/92.09 [7099]~P1(f317(f317(f225(a1),x70992),f2(a1)))+P1(f317(f317(f224(a1),f41(a1,x70991,x70992)),f2(a1)))
% 92.26/92.09 [7499]~P144(x74991)+E(f180(x74991,f317(f317(f7(x74991,x74991,x74991),f74(x74991)),f72(x74991)),x74992,f2(x74991)),f317(f90(x74991),x74992))
% 92.26/92.09 [7528]~P125(x75281)+~P1(f317(f317(f225(x75281),f317(f317(f75(x75281),x75282),x75282)),f2(x75281)))
% 92.26/92.09 [10171]~P126(x101711)+~P1(f317(f317(f225(x101711),f317(f317(f234(x101711),x101712),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101711)))
% 92.26/92.09 [4730]~E(x47302,f103(x47301))+E(f317(f179(f898(x47301)),x47302),f2(a897))
% 92.26/92.09 [4762]~E(x47621,f2(a897))+E(f317(f317(f74(a897),x47621),x47622),x47622)
% 92.26/92.09 [4763]~E(x47632,f2(a897))+E(f317(f317(f75(a897),x47631),x47632),f2(a897))
% 92.26/92.09 [4764]~E(x47641,f2(a897))+E(f317(f317(f75(a897),x47641),x47642),f2(a897))
% 92.26/92.09 [4765]~E(x47651,f2(a897))+E(f317(f317(f75(a897),x47651),x47652),f2(a897))
% 92.26/92.09 [4766]~E(x47662,f2(a897))+E(f317(f317(f234(a897),x47661),x47662),f72(a897))
% 92.26/92.09 [4767]~E(x47672,f2(a1))+E(f317(f317(f31(a1),x47671),x47672),f2(a1))
% 92.26/92.09 [4778]E(x47781,f103(x47782))+~E(f317(f179(f898(x47782)),x47781),f2(a897))
% 92.26/92.09 [4779]~P97(x47791)+E(f317(f317(f75(x47791),x47792),x47792),x47792)
% 92.26/92.09 [4780]~P97(x47801)+E(f317(f317(f75(x47801),x47802),x47802),x47802)
% 92.26/92.09 [4781]~P107(x47811)+E(f317(f317(f228(x47811),x47812),x47812),x47812)
% 92.26/92.09 [4782]~P107(x47821)+E(f317(f317(f228(x47821),x47822),x47822),x47822)
% 92.26/92.09 [4783]~P107(x47831)+E(f317(f317(f223(x47831),x47832),x47832),x47832)
% 92.26/92.09 [4784]~P107(x47841)+E(f317(f317(f223(x47841),x47842),x47842),x47842)
% 92.26/92.09 [4785]~P98(x47851)+E(f317(f317(f91(x47851),x47852),x47852),x47852)
% 92.26/92.09 [4786]~P98(x47861)+E(f317(f317(f91(x47861),x47862),x47862),x47862)
% 92.26/92.09 [4787]~P99(x47871)+E(f317(f317(f91(x47871),x47872),x47872),x47872)
% 92.26/92.09 [4788]~P99(x47881)+E(f317(f317(f92(x47881),x47882),x47882),x47882)
% 92.26/92.09 [4789]~P104(x47891)+E(f317(f317(f92(x47891),x47892),x47892),x47892)
% 92.26/92.09 [4790]~P104(x47901)+E(f317(f317(f92(x47901),x47902),x47902),x47902)
% 92.26/92.09 [4808]~P75(x48081)+E(f317(f317(f23(x48081),x48082),x48082),f2(x48081))
% 92.26/92.09 [4822]~P75(x48221)+E(f317(f73(x48221),f317(f73(x48221),x48222)),x48222)
% 92.26/92.09 [4823]~P96(x48231)+E(f317(f73(x48231),f317(f73(x48231),x48232)),x48232)
% 92.26/92.09 [4840]~E(x48402,f2(a897))+E(f317(f317(f234(a897),x48401),x48402),f317(a102,f2(a897)))
% 92.26/92.09 [4875]~P82(x48751)+E(f317(f317(f74(x48751),f2(x48751)),x48752),x48752)
% 92.26/92.09 [4876]~P77(x48761)+E(f317(f317(f74(x48761),f2(x48761)),x48762),x48762)
% 92.26/92.09 [4877]~P119(x48771)+E(f317(f317(f74(x48771),f2(x48771)),x48772),x48772)
% 92.26/92.09 [4878]~P81(x48781)+E(f317(f317(f75(x48781),f72(x48781)),x48782),x48782)
% 92.26/92.09 [4879]~P76(x48791)+E(f317(f317(f75(x48791),f72(x48791)),x48792),x48792)
% 92.26/92.09 [4880]~P119(x48801)+E(f317(f317(f75(x48801),f72(x48801)),x48802),x48802)
% 92.26/92.09 [4881]~P100(x48811)+E(f317(f317(f91(x48811),f178(x48811)),x48812),x48812)
% 92.26/92.09 [4882]~P103(x48821)+E(f317(f317(f92(x48821),f232(x48821)),x48822),x48822)
% 92.26/92.09 [4900]~P133(x49001)+E(f317(f317(f75(x49001),f2(x49001)),x49002),f2(x49001))
% 92.26/92.09 [4901]~P119(x49011)+E(f317(f317(f75(x49011),f2(x49011)),x49012),f2(x49011))
% 92.26/92.09 [4902]~P81(x49021)+E(f317(f317(f234(x49021),f72(x49021)),x49022),f72(x49021))
% 92.26/92.09 [4903]~P3(x49031)+E(f317(f317(f31(x49031),f2(x49031)),x49032),f2(x49031))
% 92.26/92.09 [4904]~P122(x49041)+E(f317(f317(f281(x49041),f2(x49041)),x49042),f2(x49041))
% 92.26/92.09 [4905]~P103(x49051)+E(f317(f317(f91(x49051),f232(x49051)),x49052),f232(x49051))
% 92.26/92.09 [4906]~P100(x49061)+E(f317(f317(f92(x49061),f178(x49061)),x49062),f178(x49061))
% 92.26/92.09 [4914]E(x49141,f103(x49142))+E(f134(x49142,f317(f158(x49142),x49141)),f317(f131(x49142),x49141))
% 92.26/92.09 [4915]E(x49151,f103(x49152))+E(f317(f131(x49152),f317(f158(x49152),x49151)),f134(x49152,x49151))
% 92.26/92.09 [4916]E(x49161,f2(a897))+~E(f317(f317(f74(a897),x49162),x49161),x49162)
% 92.26/92.09 [4923]~P94(x49231)+E(f317(f93(x49231),f317(f94(a1),x49232)),f317(f94(x49231),x49232))
% 92.26/92.09 [4924]~P140(x49241)+E(f317(f93(x49241),f317(f90(a1),x49242)),f317(f90(x49241),x49242))
% 92.26/92.09 [4929]E(x49291,f72(a897))+~E(f317(f317(f75(a897),x49292),x49291),f72(a897))
% 92.26/92.09 [4930]E(x49301,f72(a897))+~E(f317(f317(f75(a897),x49301),x49302),f72(a897))
% 92.26/92.09 [4931]E(x49311,f72(a897))+~E(f317(f317(f75(a897),x49312),x49311),f72(a897))
% 92.26/92.09 [4932]E(x49321,f72(a897))+~E(f317(f317(f75(a897),x49321),x49322),f72(a897))
% 92.26/92.09 [4933]E(x49331,f2(a897))+~E(f317(f317(f74(a897),x49332),x49331),f2(a897))
% 92.26/92.09 [4934]E(x49341,f2(a897))+~E(f317(f317(f74(a897),x49341),x49342),f2(a897))
% 92.26/92.09 [4951]~P126(x49511)+E(f317(f70(x49511),f317(f90(x49511),x49512)),f317(f90(x49511),x49512))
% 92.26/92.09 [4952]~P85(x49521)+E(f317(f70(x49521),f317(f73(x49521),x49522)),f317(f70(x49521),x49522))
% 92.26/92.09 [4953]~P85(x49531)+E(f317(f70(x49531),f317(f70(x49531),x49532)),f317(f70(x49531),x49532))
% 92.26/92.09 [4954]~P77(x49541)+E(f317(f155(x49541),f317(f158(x49541),x49542)),f317(f155(x49541),x49542))
% 92.26/92.09 [4959]~E(x49591,f317(a102,f2(a897)))+E(f317(f317(f234(a897),x49591),x49592),f317(a102,f2(a897)))
% 92.26/92.09 [4968]~P75(x49681)+E(f317(f317(f23(x49681),f2(x49681)),x49682),f317(f73(x49681),x49682))
% 92.26/92.09 [4969]~E(x49692,f2(a897))+E(f129(a897,f317(f292(a897,x49691),x49692)),f103(a897))
% 92.26/92.09 [4978]~P94(x49781)+E(f317(f317(f74(x49781),x49782),f317(f94(x49781),a77)),x49782)
% 92.26/92.09 [4979]E(x49791,f2(a1))+E(f43(f317(f70(a1),x49792),f317(f70(a1),x49791)),f49(x49792,x49791))
% 92.26/92.09 [4993]~E(x49931,x49932)+P1(f317(f317(f224(a897),x49931),x49932))
% 92.26/92.09 [4994]~E(x49941,x49942)+P1(f317(f317(f224(a897),x49941),x49942))
% 92.26/92.09 [4995]~E(x49951,x49952)+P1(f317(f317(f224(a897),x49951),x49952))
% 92.26/92.09 [4996]~E(x49961,x49962)+P1(f317(f317(f277(a897),x49961),x49962))
% 92.26/92.09 [4997]~E(x49971,x49972)+P1(f317(f317(f277(a897),x49971),x49972))
% 92.26/92.09 [4998]~E(x49981,x49982)+P1(f317(f317(f277(a897),x49981),x49982))
% 92.26/92.09 [4999]~E(x49991,x49992)+P1(f317(f317(f277(a897),x49991),x49992))
% 92.26/92.09 [5006]~E(x50061,f2(a89))+E(f317(f317(f74(a897),f317(a20,x50061)),x50062),x50062)
% 92.26/92.09 [5007]~E(f317(f90(a1),x50071),f317(f94(a1),x50072))+E(x50071,f317(a95,f317(f94(a1),x50072)))
% 92.26/92.09 [5020]~P6(x50201)+P6(f317(f317(f234(a1),x50201),x50202))
% 92.26/92.09 [5021]~P75(x50211)+E(f317(f317(f74(x50211),x50212),f317(f73(x50211),x50212)),f2(x50211))
% 92.26/92.09 [5022]~P96(x50221)+E(f317(f317(f91(x50221),x50222),f317(f73(x50221),x50222)),f232(x50221))
% 92.26/92.09 [5023]~P96(x50231)+E(f317(f317(f92(x50231),x50232),f317(f73(x50231),x50232)),f178(x50231))
% 92.26/92.09 [5048]E(x50481,f2(a897))+~E(f317(f73(a1),f317(f90(a1),x50482)),f317(f90(a1),x50481))
% 92.26/92.09 [5049]E(x50491,f2(a897))+~E(f317(f73(a1),f317(f90(a1),x50491)),f317(f90(a1),x50492))
% 92.26/92.09 [5059]E(f184(x50591,x50592),f2(a1))+P1(f317(f317(f224(a1),x50592),x50591))
% 92.26/92.09 [5060]E(f168(x50601,x50602),f103(a1))+P1(f317(f317(f224(a1),x50601),x50602))
% 92.26/92.09 [5061]E(f231(x50611,x50612),f2(a89))+P1(f317(f317(f225(a89),x50611),x50612))
% 92.26/92.09 [5074]E(x50741,f317(a102,f2(a897)))+~E(f317(f317(f75(a897),x50742),x50741),f317(a102,f2(a897)))
% 92.26/92.09 [5075]E(x50751,f317(a102,f2(a897)))+~E(f317(f317(f75(a897),x50751),x50752),f317(a102,f2(a897)))
% 92.26/92.09 [5076]~P65(x50761)+P1(f317(f317(f224(x50761),x50762),x50762))
% 92.26/92.09 [5077]~P119(x50771)+P1(f317(f317(f277(x50771),x50772),x50772))
% 92.26/92.09 [5080]~P94(x50801)+E(f317(f317(f75(x50801),x50802),f317(f94(x50801),a87)),f317(f73(x50801),x50802))
% 92.26/92.09 [5099]~P94(x50991)+E(f317(f73(x50991),f317(f94(x50991),x50992)),f317(f94(x50991),f317(f73(a1),x50992)))
% 92.26/92.09 [5100]~P94(x51001)+E(f317(f73(x51001),f317(f94(x51001),x51002)),f317(f94(x51001),f317(f73(a1),x51002)))
% 92.26/92.09 [5101]~P140(x51011)+E(f317(f73(x51011),f317(f93(x51011),x51012)),f317(f93(x51011),f317(f73(a1),x51012)))
% 92.26/92.09 [5131]~E(x51311,f317(a102,x51312))+P1(f317(f317(f225(a897),f2(a897)),x51311))
% 92.26/92.09 [5149]~P107(x51491)+E(f317(f73(f904(x51491,a893)),f317(f272(x51491),x51492)),f317(f273(x51491),x51492))
% 92.26/92.09 [5150]~P107(x51501)+E(f317(f73(f904(x51501,a893)),f317(f291(x51501),x51502)),f317(f294(x51501),x51502))
% 92.26/92.09 [5151]~P107(x51511)+E(f317(f73(f904(x51511,a893)),f317(f273(x51511),x51512)),f317(f272(x51511),x51512))
% 92.26/92.09 [5152]~P107(x51521)+E(f317(f73(f904(x51521,a893)),f317(f294(x51521),x51522)),f317(f291(x51521),x51522))
% 92.26/92.09 [5160]~E(f317(f90(a1),x51602),x51601)+P1(f317(f317(f224(a1),f2(a1)),x51601))
% 92.26/92.09 [5167]~E(x51672,f2(a1))+E(f49(x51671,x51672),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51671)))
% 92.26/92.09 [5169]~P66(x51691)+P1(f317(f317(f224(x51691),f178(x51691)),x51692))
% 92.26/92.09 [5170]~P119(x51701)+P1(f317(f317(f277(x51701),f72(x51701)),x51702))
% 92.26/92.09 [5203]E(x52031,x52032)+~E(f317(f317(f74(a1),x52031),x52031),f317(f317(f74(a1),x52032),x52032))
% 92.26/92.09 [5207]~P1(f317(x52071,x52072))+P1(f317(x52071,f317(a95,f797(x52071))))
% 92.26/92.09 [5233]~P126(x52331)+E(f317(f317(f75(x52331),f76(x52331,x52332)),f317(f70(x52331),x52332)),x52332)
% 92.26/92.09 [5240]~E(x52402,f2(a897))+E(f79(f903(a897,a897),f44(x52401,x52402)),f317(f317(f242(a897,a897),f2(a897)),x52401))
% 92.26/92.09 [5241]~E(x52411,x52412)+~P1(f317(f317(f225(a897),x52411),x52412))
% 92.26/92.09 [5242]~E(x52421,x52422)+~P1(f317(f317(f225(a897),x52421),x52422))
% 92.26/92.09 [5243]~E(x52431,x52432)+~P1(f317(f317(f225(a897),x52431),x52432))
% 92.26/92.09 [5244]~E(x52441,x52442)+~P1(f317(f317(f225(a897),x52441),x52442))
% 92.26/92.09 [5245]~E(x52451,x52452)+~P1(f317(f317(f225(a897),x52451),x52452))
% 92.26/92.09 [5246]~E(x52461,x52462)+~P1(f317(f317(f225(a1),x52461),x52462))
% 92.26/92.09 [5249]~P144(x52491)+E(f317(f317(f74(x52491),f72(x52491)),f317(f90(x52491),x52492)),f317(f90(x52491),f317(a102,x52492)))
% 92.26/92.09 [5253]~E(x52531,f2(a897))+~P1(f317(f317(f225(a897),x52532),x52531))
% 92.26/92.09 [5267]E(f142(x52671,x52672),x52672)+~E(f317(f179(f898(x52671)),f142(x52671,x52672)),f317(f179(f898(x52671)),x52672))
% 92.26/92.09 [5268]E(f317(f30(x52681),f317(f162(x52681),x52682)),f317(f179(f898(x52681)),x52682))+~P1(f317(f127(x52681),x52682))
% 92.26/92.09 [5282]~P1(f317(x52821,f798(x52821)))+P1(f317(x52821,f317(f90(a1),x52822)))
% 92.26/92.09 [5293]E(f231(x52931,x52932),x52932)+~P1(f317(f317(f225(a89),x52931),x52932))
% 92.26/92.09 [5295]E(f262(x52951,x52952),f72(a89))+~P1(f317(f317(f225(a89),x52952),x52951))
% 92.26/92.09 [5296]E(f168(x52961,x52962),f103(a1))+~P1(f317(f317(f225(a1),x52962),x52961))
% 92.26/92.09 [5297]E(f118(x52971,x52972),f105(a1))+~P1(f317(f317(f225(a1),x52971),x52972))
% 92.26/92.09 [5299]~P108(x52991)+E(f293(x52991,x52992,x52992),f317(f317(f299(x52991),x52992),f178(f904(x52991,a893))))
% 92.26/92.09 [5319]~E(f317(f317(f23(a897),x53191),x53192),f2(a897))+P1(f317(f317(f224(a897),x53191),x53192))
% 92.26/92.09 [5336]~E(x53362,f2(a897))+E(f51(x53361,x53362,f103(x53361)),f317(f317(f141(f898(x53361)),f103(x53361)),f103(f898(x53361))))
% 92.26/92.09 [5340]~P65(x53401)+~P1(f317(f317(f225(x53401),x53402),x53402))
% 92.26/92.09 [5341]~E(f41(a1,x53411,x53412),f2(a1))+E(f41(a1,x53411,f317(f73(a1),x53412)),f2(a1))
% 92.26/92.09 [5342]~E(f41(a1,x53421,x53422),f2(a1))+E(f41(a1,x53421,f317(f73(a1),x53422)),f2(a1))
% 92.26/92.09 [5343]~E(f41(a1,x53431,x53432),f2(a1))+E(f41(a1,f317(f73(a1),x53431),x53432),f2(a1))
% 92.26/92.09 [5344]~E(f41(a1,x53441,x53442),f2(a1))+E(f41(a1,f317(f73(a1),x53441),x53442),f2(a1))
% 92.26/92.09 [5352]E(f317(f292(a897,x53521),f317(a102,x53522)),f178(f904(a897,a893)))+P1(f317(f317(f224(a897),x53521),x53522))
% 92.26/92.09 [5376]E(f129(a897,f317(f292(a897,x53761),x53762)),f103(a897))+P1(f317(f317(f225(a897),x53761),x53762))
% 92.26/92.09 [5382]~E(f317(f30(x53821),f317(f162(x53821),x53822)),f317(f179(f898(x53821)),x53822))+P1(f317(f127(x53821),x53822))
% 92.26/92.09 [5386]~P1(f317(f127(x53861),x53862))+P1(f317(f127(x53861),f317(f157(x53861),x53862)))
% 92.26/92.09 [5387]~P1(f317(f127(x53871),x53872))+P1(f317(f127(x53871),f317(f161(x53871),x53872)))
% 92.26/92.09 [5388]~P1(f317(f127(x53881),x53882))+P1(f317(f127(x53881),f317(f158(x53881),x53882)))
% 92.26/92.09 [5396]P1(f317(x53961,x53962))+~P1(f317(x53961,f317(a95,f847(x53961))))
% 92.26/92.09 [5397]P1(f317(f317(f224(a897),x53972),x53971))+P1(f317(f317(f224(a897),x53971),x53972))
% 92.26/92.09 [5398]P1(f317(f317(f224(a1),x53982),x53981))+P1(f317(f317(f224(a1),x53981),x53982))
% 92.26/92.09 [5402]~P85(x54021)+P1(f317(f317(f224(x54021),x54022),f317(f70(x54021),x54022)))
% 92.26/92.09 [5405]P1(f317(x54051,f799(x54051)))+~P1(f317(x54051,f317(f90(a1),x54052)))
% 92.26/92.09 [5428]E(f317(f317(f23(a897),x54281),x54282),f2(a897))+~P1(f317(f317(f224(a897),x54281),x54282))
% 92.26/92.09 [5429]E(f317(f317(f23(a897),x54291),x54292),f2(a897))+~P1(f317(f317(f224(a897),x54291),x54292))
% 92.26/92.09 [5430]E(f317(f317(f31(a897),x54301),x54302),f2(a897))+~P1(f317(f317(f225(a897),x54301),x54302))
% 92.26/92.09 [5448]E(f41(a897,x54481,x54482),x54481)+~P1(f317(f317(f225(a897),x54481),x54482))
% 92.26/92.09 [5449]E(f41(a897,x54491,x54492),x54491)+~P1(f317(f317(f225(a897),x54491),x54492))
% 92.26/92.09 [5457]E(f41(a1,x54571,f317(f73(a1),x54572)),f282(x54571,x54572))+P1(f317(f317(f224(a1),f2(a1)),x54572))
% 92.26/92.09 [5469]E(f317(f317(f23(a1),x54691),x54692),f184(x54691,x54692))+~P1(f317(f317(f224(a1),x54692),x54691))
% 92.26/92.09 [5470]E(f317(f317(f23(a1),x54701),x54702),f184(x54701,x54702))+~P1(f317(f317(f224(a1),x54702),x54701))
% 92.26/92.09 [5490]P1(f317(f317(f224(a1),f2(a1)),f798(x54901)))+P1(f317(x54901,f317(f90(a1),x54902)))
% 92.26/92.09 [5502]~P110(x55021)+P1(f317(f317(f224(x55021),f2(x55021)),f317(f90(x55021),x55022)))
% 92.26/92.09 [5503]~P110(x55031)+P1(f317(f317(f224(x55031),f2(x55031)),f317(f90(x55031),x55032)))
% 92.26/92.09 [5504]~P85(x55041)+P1(f317(f317(f224(x55041),f2(x55041)),f317(f70(x55041),x55042)))
% 92.26/92.09 [5532]E(f317(f317(f74(a897),x55321),f402(x55322,x55321)),x55322)+~P1(f317(f317(f224(a897),x55321),x55322))
% 92.26/92.09 [5544]~E(f317(f90(a1),x55442),f317(f94(a1),x55441))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x55441)))
% 92.26/92.09 [5547]E(f293(a1,x55471,x55472),f178(f904(a1,a893)))+~P1(f317(f317(f225(a1),x55472),x55471))
% 92.26/92.09 [5550]~P126(x55501)+E(f317(f317(f75(x55501),f317(f70(x55501),x55502)),f317(f70(x55501),x55502)),f317(f317(f75(x55501),x55502),x55502))
% 92.26/92.09 [5555]E(f129(a897,f317(f292(a897,x55551),f317(a102,x55552))),f103(a897))+P1(f317(f317(f224(a897),x55551),x55552))
% 92.26/92.09 [5558]E(f317(f317(f31(a1),x55581),x55582),f283(x55581,x55582))+~P1(f317(f317(f224(a1),f2(a1)),x55582))
% 92.26/92.09 [5578]P1(f317(f127(x55781),x55782))+~P1(f317(f127(x55781),f317(f157(x55781),x55782)))
% 92.26/92.09 [5579]P1(f317(f127(x55791),x55792))+~P1(f317(f127(x55791),f317(f158(x55791),x55792)))
% 92.26/92.09 [5606]P1(f317(f29(a897),x56061))+P1(f317(f317(f319(a897),f565(x56061,x56062)),x56061))
% 92.26/92.09 [5607]P1(f317(f29(a897),x56071))+P1(f317(f317(f319(a897),f591(x56071,x56072)),x56071))
% 92.26/92.09 [5610]P1(f317(f317(f225(a897),x56102),f317(a102,x56101)))+P1(f317(f317(f225(a897),x56101),x56102))
% 92.26/92.09 [5611]E(f41(a1,x56111,x56112),f282(x56111,x56112))+~P1(f317(f317(f224(a1),f2(a1)),x56112))
% 92.26/92.09 [5613]E(f129(a897,f317(f292(a897,x56131),x56132)),f103(a897))+~P1(f317(f317(f224(a897),x56132),x56131))
% 92.26/92.09 [5614]E(f129(a897,f317(f292(a897,x56141),x56142)),f103(a897))+~P1(f317(f317(f224(a897),x56142),x56141))
% 92.26/92.09 [5615]~P67(x56151)+E(f317(f300(x56151,x56151,f73(x56151)),f317(f272(x56151),x56152)),f317(f294(x56151),f317(f73(x56151),x56152)))
% 92.26/92.09 [5616]~P67(x56161)+E(f317(f300(x56161,x56161,f73(x56161)),f317(f291(x56161),x56162)),f317(f273(x56161),f317(f73(x56161),x56162)))
% 92.26/92.09 [5617]~P67(x56171)+E(f317(f300(x56171,x56171,f73(x56171)),f317(f273(x56171),x56172)),f317(f291(x56171),f317(f73(x56171),x56172)))
% 92.26/92.09 [5618]~P67(x56181)+E(f317(f300(x56181,x56181,f73(x56181)),f317(f294(x56181),x56182)),f317(f272(x56181),f317(f73(x56181),x56182)))
% 92.26/92.09 [5629]E(x56291,f178(f904(x56292,a893)))+P1(f317(f317(f319(x56292),f760(x56291,x56292)),x56291))
% 92.26/92.09 [5630]E(x56301,f178(f904(x56302,a893)))+P1(f317(f317(f319(x56302),f649(x56301,x56302)),x56301))
% 92.26/92.09 [5637]~P1(f317(f317(f225(a897),x56371),x56372))+P1(f317(f317(f224(a897),x56371),x56372))
% 92.26/92.09 [5638]~P1(f317(f317(f225(a897),x56381),x56382))+P1(f317(f317(f224(a897),x56381),x56382))
% 92.26/92.09 [5639]~P1(f317(f317(f225(a897),x56391),x56392))+P1(f317(f317(f224(a897),x56391),x56392))
% 92.26/92.09 [5640]~P1(f317(f317(f225(a897),x56401),x56402))+P1(f317(f317(f224(a897),x56401),x56402))
% 92.26/92.09 [5641]~P1(f317(f317(f225(a897),x56411),x56412))+P1(f317(f317(f224(a897),x56411),x56412))
% 92.26/92.09 [5642]~P1(f317(f317(f225(a1),x56421),x56422))+P1(f317(f317(f224(a1),x56421),x56422))
% 92.26/92.09 [5658]E(f43(x56581,x56582),f317(f317(f242(a1,a1),f2(a1)),x56581))+~P1(f317(f317(f225(a1),x56581),x56582))
% 92.26/92.09 [5660]E(f205(f317(f73(a1),x56601),f317(f73(a1),x56602)),f205(x56601,x56602))+~P1(f317(f317(f225(a1),x56602),f2(a1)))
% 92.26/92.09 [5672]E(x56721,x56722)+~E(f317(a3,f317(a102,f317(a20,x56721))),f317(a3,f317(a102,f317(a20,x56722))))
% 92.26/92.09 [5677]E(f43(x56771,x56772),f317(f317(f242(a1,a1),f2(a1)),x56771))+~P1(f317(f317(f224(a1),x56772),f2(a1)))
% 92.26/92.09 [5706]E(f41(a897,f317(f94(a897),x57061),f317(f94(a897),x57062)),f2(a897))+~P1(f317(a183,f317(f94(a1),x57061)))
% 92.26/92.09 [5720]P1(f317(f317(f224(a1),f2(a1)),f799(x57201)))+~P1(f317(x57201,f317(f90(a1),x57202)))
% 92.26/92.09 [5753]P39(f293(a1,x57531,x57532))+~P1(f317(f317(f224(a1),f2(a1)),x57531))
% 92.26/92.09 [5758]~P1(f317(f29(x57581),x57582))+P1(f317(f29(f904(x57581,a893)),f317(f298(x57581),x57582)))
% 92.26/92.09 [5771]E(f317(f317(f74(a1),x57711),f317(f90(a1),f821(x57712,x57711))),x57712)+~P1(f317(f317(f224(a1),x57711),x57712))
% 92.26/92.09 [5779]P1(f317(f317(f224(a897),x57791),x57792))+P1(f317(f317(f224(a897),f317(a102,x57792)),x57791))
% 92.26/92.09 [5823]E(f317(f317(f31(a897),f317(f94(a897),x58231)),f317(f94(a897),x58232)),f2(a897))+~P1(f317(a183,f317(f94(a1),x58231)))
% 92.26/92.09 [5824]E(f317(f317(f75(a897),f317(f94(a897),x58241)),f317(f94(a897),x58242)),f2(a897))+~P1(f317(f317(f225(a1),x58241),a77))
% 92.26/92.09 [5825]P1(f317(f317(f224(a897),x58251),f317(a102,x58252)))+~P1(f317(f317(f224(a897),x58251),x58252))
% 92.26/92.09 [5826]P1(f317(f317(f224(a897),x58261),f317(a102,x58262)))+~P1(f317(f317(f224(a897),x58261),x58262))
% 92.26/92.09 [5827]P1(f317(f317(f225(a897),x58271),f317(a102,x58272)))+~P1(f317(f317(f224(a897),x58271),x58272))
% 92.26/92.09 [5828]P1(f317(f317(f225(a897),x58281),f317(a102,x58282)))+~P1(f317(f317(f224(a897),x58281),x58282))
% 92.26/92.09 [5829]P1(f317(f317(f225(a897),x58291),f317(a102,x58292)))+~P1(f317(f317(f225(a897),x58291),x58292))
% 92.26/92.09 [5830]P1(f317(f317(f225(a897),x58301),f317(a102,x58302)))+~P1(f317(f317(f225(a897),x58301),x58302))
% 92.26/92.09 [5833]~E(x58331,x58332)+P1(f317(f317(f225(a1),x58331),f317(f317(f74(a1),x58332),f72(a1))))
% 92.26/92.09 [5836]E(f41(a1,x58361,x58362),f2(a1))+E(f317(f317(f23(a1),x58362),f41(a1,x58361,x58362)),f41(a1,f317(f73(a1),x58361),x58362))
% 92.26/92.09 [5845]E(x58451,f103(x58452))+P1(f317(f317(f319(x58452),f134(x58452,x58451)),f317(f162(x58452),x58451)))
% 92.26/92.09 [5856]E(f79(f903(a897,a897),f44(x58561,x58562)),f317(f317(f242(a897,a897),f2(a897)),x58561))+~P1(f317(f317(f225(a897),x58561),x58562))
% 92.26/92.09 [5857]E(f79(f903(a897,a897),f44(x58571,x58572)),f317(f317(f242(a897,a897),f2(a897)),x58571))+~P1(f317(f317(f225(a897),x58571),x58572))
% 92.26/92.09 [5901]E(f317(f317(f23(a897),f317(f94(a897),x59011)),f317(f94(a897),x59012)),f317(f94(a897),x59011))+~P1(f317(f317(f225(a1),x59012),a77))
% 92.26/92.09 [5902]E(f317(f317(f74(a897),f317(f94(a897),x59021)),f317(f94(a897),x59022)),f317(f94(a897),x59022))+~P1(f317(f317(f225(a1),x59021),a77))
% 92.26/92.09 [5909]E(f317(a102,f317(f317(f74(a897),x59091),f432(x59092,x59091))),x59092)+~P1(f317(f317(f225(a897),x59091),x59092))
% 92.26/92.09 [5933]P1(f317(x59331,x59332))+~P1(f317(x59331,f317(a83,f540(x59332,x59331))))
% 92.26/92.09 [5934]P1(f317(x59341,x59342))+~P1(f317(x59341,f317(a3,f795(x59342,x59341))))
% 92.26/92.09 [5943]~P1(f317(f317(f225(a897),x59431),f317(a102,x59432)))+P1(f317(f317(f224(a897),x59431),x59432))
% 92.26/92.09 [5980]P1(f317(x59801,x59802))+P1(f317(f317(f319(a897),f795(x59802,x59801)),f232(f904(a897,a893))))
% 92.26/92.09 [5993]E(f317(f317(f299(a897),x59931),f317(f292(a897,x59932),x59931)),f317(f292(a897,x59932),f317(a102,x59931)))+~P1(f317(f317(f224(a897),x59932),x59931))
% 92.26/92.09 [5996]E(x59961,f103(x59962))+E(f317(f317(f124(x59962),f104(x59962,x59961)),f317(f317(f141(x59962),f134(x59962,x59961)),f103(x59962))),x59961)
% 92.26/92.09 [6012]P1(f317(f29(x60121),x60122))+~P1(f317(f317(f225(a897),f2(a897)),f317(f30(x60121),x60122)))
% 92.26/92.09 [6013]P1(f317(f29(x60131),x60132))+~P1(f317(f317(f225(a897),f2(a897)),f317(f30(x60131),x60132)))
% 92.26/92.09 [6017]~E(x60171,f178(f904(x60172,a893)))+~P1(f317(f317(f225(a897),f2(a897)),f317(f30(x60172),x60171)))
% 92.26/92.09 [6027]~P1(f317(f317(f225(a897),x60271),x60272))+P1(f317(f317(f224(a897),f317(a102,x60271)),x60272))
% 92.26/92.09 [6028]~P1(f317(f317(f225(a897),x60281),x60282))+P1(f317(f317(f224(a897),f317(a102,x60281)),x60282))
% 92.26/92.09 [6029]~P1(f317(f317(f225(a897),x60291),x60292))+P1(f317(f317(f224(a897),f317(a102,x60291)),x60292))
% 92.26/92.09 [6033]~P107(x60331)+E(f140(x60331,x60331,f5(x60331),f142(x60331,x60332)),f129(x60331,f317(f162(x60331),x60332)))
% 92.26/92.09 [6036]E(x60361,f103(x60362))+P1(f317(f317(f319(x60362),f317(f131(x60362),x60361)),f317(f162(x60362),x60361)))
% 92.26/92.09 [6042]~P110(x60421)+P1(f317(f317(f225(x60421),x60422),f317(f317(f74(x60421),x60422),f72(x60421))))
% 92.26/92.09 [6044]~P85(x60441)+P1(f317(f317(f224(x60441),f317(f73(x60441),x60442)),f317(f70(x60441),x60442)))
% 92.26/92.09 [6058]~E(x60581,x60582)+E(f280(a897,f277(a897),x60581,x60582),f317(f317(f299(a897),x60581),f178(f904(a897,a893))))
% 92.26/92.09 [6076]P1(f317(f29(a897),x60761))+~P1(f317(f317(f224(a897),f591(x60761,x60762)),x60762))
% 92.26/92.09 [6077]P1(f317(f29(a897),x60771))+~P1(f317(f317(f225(a897),f565(x60771,x60772)),x60772))
% 92.26/92.09 [6080]~P1(f317(f29(f903(x60801,x60801)),x60802))+P1(f317(f29(x60801),f317(f271(x60801),x60802)))
% 92.26/92.09 [6135]E(f280(a897,f277(a897),x61351,x61352),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x61351),x61352))
% 92.26/92.09 [6136]E(f280(a897,f277(a897),x61361,x61362),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x61361),x61362))
% 92.26/92.09 [6137]E(f168(f317(f94(a1),x61371),f317(f94(a1),x61372)),f103(a1))+P1(f317(f317(f224(a1),f317(f94(a1),x61371)),f317(f94(a1),x61372)))
% 92.26/92.09 [6139]~P1(f317(f317(f225(a897),x61392),f317(a102,x61391)))+~P1(f317(f317(f225(a897),x61391),x61392))
% 92.26/92.09 [6140]~P108(x61401)+E(f317(f317(f92(f904(x61401,a893)),f317(f291(x61401),x61402)),f317(f273(x61401),x61402)),f317(f317(f299(x61401),x61402),f178(f904(x61401,a893))))
% 92.26/92.09 [6142]E(f317(f317(f234(a897),f317(f94(a897),x61421)),f317(f94(a897),x61422)),f317(f317(f234(a897),f2(a897)),f317(f94(a897),x61422)))+~P1(f317(a183,f317(f94(a1),x61421)))
% 92.26/92.09 [6152]P1(f317(f29(x61521),x61522))+~P1(f317(f29(f904(x61521,a893)),f317(f298(x61521),x61522)))
% 92.26/92.09 [6174]P1(f317(f317(f224(a897),f317(a102,x61741)),f317(a102,x61742)))+~P1(f317(f317(f224(a897),x61741),x61742))
% 92.26/92.09 [6175]P1(f317(f317(f224(a897),f317(a20,x61751)),f317(a20,x61752)))+~P1(f317(f317(f224(a89),x61751),x61752))
% 92.26/92.09 [6176]P1(f317(f317(f224(a89),f317(a3,x61761)),f317(a3,x61762)))+~P1(f317(f317(f224(a897),x61761),x61762))
% 92.26/92.09 [6177]P1(f317(f317(f225(a897),f317(a102,x61771)),f317(a102,x61772)))+~P1(f317(f317(f225(a897),x61771),x61772))
% 92.26/92.09 [6178]P1(f317(f317(f225(a897),f317(a102,x61781)),f317(a102,x61782)))+~P1(f317(f317(f225(a897),x61781),x61782))
% 92.26/92.09 [6179]P1(f317(f317(f225(a897),f317(a20,x61791)),f317(a20,x61792)))+~P1(f317(f317(f225(a89),x61791),x61792))
% 92.26/92.09 [6180]P1(f317(f317(f225(a89),f317(a3,x61801)),f317(a3,x61802)))+~P1(f317(f317(f225(a897),x61801),x61802))
% 92.26/92.09 [6185]E(x61851,x61852)+~E(f317(f300(a897,a1,f90(a1)),x61851),f317(f300(a897,a1,f90(a1)),x61852))
% 92.26/92.09 [6201]P1(f317(f317(f224(a897),x62011),x62012))+~P1(f317(f317(f224(a897),f317(a102,x62011)),x62012))
% 92.26/92.09 [6202]P1(f317(f317(f225(a897),x62021),x62022))+~P1(f317(f317(f224(a897),f317(a102,x62021)),x62022))
% 92.26/92.09 [6203]P1(f317(f317(f225(a897),x62031),x62032))+~P1(f317(f317(f224(a897),f317(a102,x62031)),x62032))
% 92.26/92.09 [6204]P1(f317(f317(f225(a897),x62041),x62042))+~P1(f317(f317(f224(a897),f317(a102,x62041)),x62042))
% 92.26/92.09 [6205]P1(f317(f317(f225(a897),x62051),x62052))+~P1(f317(f317(f225(a897),f317(a102,x62051)),x62052))
% 92.26/92.09 [6225]E(f41(a1,x62251,x62252),f2(a1))+E(f317(f317(f23(a1),f41(a1,x62251,x62252)),x62252),f41(a1,x62251,f317(f73(a1),x62252)))
% 92.26/92.09 [6294]E(f317(f30(f904(x62941,a893)),f317(f298(x62941),x62942)),f317(f317(f234(a897),f317(a102,f317(a102,f2(a897)))),f317(f30(x62941),x62942)))+~P1(f317(f29(x62941),x62942))
% 92.26/92.09 [6297]E(x62971,f103(x62972))+E(f317(f317(f154(x62972),x62971),f317(f317(f23(a897),f317(f179(f898(x62972)),x62971)),f72(a897))),f134(x62972,x62971))
% 92.26/92.09 [6319]E(x63191,f103(x63192))+E(f317(f317(f124(x63192),f317(f161(x63192),x63191)),f317(f317(f141(x63192),f317(f131(x63192),x63191)),f103(x63192))),f317(f157(x63192),x63191))
% 92.26/92.09 [6320]~P1(f317(f178(f904(x63201,a893)),x63202))+P1(f317(f317(f319(x63201),x63202),f178(f904(x63201,a893))))
% 92.26/92.09 [6352]~P1(f317(f29(x63521),f32(f904(x63521,a893),x63522)))+P1(f317(f29(f904(x63521,a893)),x63522))
% 92.26/92.09 [6374]P1(f317(f317(f224(a897),f317(f94(a897),x63741)),f317(f94(a897),x63742)))+~P1(f317(f317(f224(a1),x63741),a77))
% 92.26/92.09 [6398]~P1(f317(f317(f225(a1),x63981),x63982))+P1(f317(f317(f224(a1),x63981),f317(f317(f23(a1),x63982),f72(a1))))
% 92.26/92.09 [6399]~P1(f317(f317(f224(a1),x63991),x63992))+P1(f317(f317(f225(a1),x63991),f317(f317(f74(a1),x63992),f72(a1))))
% 92.26/92.09 [6400]~P1(f317(f317(f225(a1),x64001),x64002))+P1(f317(f317(f225(a1),x64001),f317(f317(f74(a1),x64002),f72(a1))))
% 92.26/92.09 [6402]~P1(f317(f317(f224(a1),x64021),x64022))+P1(f317(f317(f224(a897),f317(f94(a897),x64021)),f317(f94(a897),x64022)))
% 92.26/92.09 [6403]~P1(f317(f317(f224(a1),x64031),x64032))+P1(f317(f317(f224(a1),f317(f94(a1),x64031)),f317(f94(a1),x64032)))
% 92.26/92.09 [6404]~P1(f317(f317(f224(a897),x64041),x64042))+P1(f317(f317(f224(a1),f317(f90(a1),x64041)),f317(f90(a1),x64042)))
% 92.26/92.09 [6405]~P1(f317(f317(f224(a897),x64051),x64052))+P1(f317(f317(f224(a1),f317(f90(a1),x64051)),f317(f90(a1),x64052)))
% 92.26/92.09 [6406]~P1(f317(f317(f225(a1),x64061),x64062))+P1(f317(f317(f225(a1),f317(f94(a1),x64061)),f317(f94(a1),x64062)))
% 92.26/92.09 [6407]~P1(f317(f317(f225(a897),x64071),x64072))+P1(f317(f317(f225(a1),f317(f90(a1),x64071)),f317(f90(a1),x64072)))
% 92.26/92.09 [6408]~P1(f317(f317(f225(a897),x64081),x64082))+P1(f317(f317(f225(a1),f317(f90(a1),x64081)),f317(f90(a1),x64082)))
% 92.26/92.09 [6415]~E(x64152,f178(f904(x64151,a893)))+P1(f317(f317(f224(f904(x64151,a893)),x64152),f178(f904(x64151,a893))))
% 92.26/92.09 [6428]~P1(f317(f317(f224(a897),x64281),x64282))+~P1(f317(f317(f224(a897),f317(a102,x64282)),x64281))
% 92.26/92.09 [6471]~P1(f317(f317(f224(a897),f317(a102,x64711)),f317(a102,x64712)))+P1(f317(f317(f224(a897),x64711),x64712))
% 92.26/92.09 [6472]~P1(f317(f317(f224(a89),f317(a3,x64721)),f317(a3,x64722)))+P1(f317(f317(f224(a897),x64721),x64722))
% 92.26/92.09 [6473]~P1(f317(f317(f224(a897),f317(a20,x64731)),f317(a20,x64732)))+P1(f317(f317(f224(a89),x64731),x64732))
% 92.26/92.09 [6474]~P1(f317(f317(f225(a897),f317(a102,x64741)),f317(a102,x64742)))+P1(f317(f317(f225(a897),x64741),x64742))
% 92.26/92.09 [6475]~P1(f317(f317(f225(a897),f317(a102,x64751)),f317(a102,x64752)))+P1(f317(f317(f225(a897),x64751),x64752))
% 92.26/92.09 [6476]~P1(f317(f317(f225(a89),f317(a3,x64761)),f317(a3,x64762)))+P1(f317(f317(f225(a897),x64761),x64762))
% 92.26/92.09 [6477]~P1(f317(f317(f225(a897),f317(a95,x64771)),f317(a95,x64772)))+P1(f317(f317(f225(a1),x64771),x64772))
% 92.26/92.09 [6478]~P1(f317(f317(f225(a897),f317(a20,x64781)),f317(a20,x64782)))+P1(f317(f317(f225(a89),x64781),x64782))
% 92.26/92.09 [6494]~P1(f317(f317(f277(a897),x64942),x64941))+P1(f317(f317(f319(a897),x64941),f284(a897,f277(a897),x64942)))
% 92.26/92.09 [6495]~P1(f317(f317(f277(a897),x64951),x64952))+P1(f317(f317(f319(a897),x64951),f286(a897,f277(a897),x64952)))
% 92.26/92.09 [6499]~P1(f317(f317(f319(x64991),x64992),f178(f904(x64991,a893))))+P1(f317(f178(f904(x64991,a893)),x64992))
% 92.26/92.09 [6520]~P1(f317(f317(f225(a897),f317(a95,x65202)),f317(a95,x65201)))+P1(f317(f317(f225(a1),f2(a1)),x65201))
% 92.26/92.09 [6550]P1(f317(f317(f224(a1),f2(a1)),f41(a1,x65501,x65502)))+~P1(f317(f317(f225(a1),f2(a1)),x65502))
% 92.26/92.09 [6551]P1(f317(f317(f224(a1),f2(a1)),f41(a1,x65511,x65512)))+~P1(f317(f317(f225(a1),f2(a1)),x65512))
% 92.26/92.09 [6717]P36(x67171,x67172)+~E(f317(f317(f279(x67171,x67171,x67171),x67172),x67172),f178(f904(f903(x67171,x67171),a893)))
% 92.26/92.09 [6733]~P36(x67331,x67332)+P36(x67331,f317(f317(f279(x67331,x67331,x67331),x67332),x67332))
% 92.26/92.09 [6744]P1(f317(f317(f224(a1),x67441),x67442))+~P1(f317(f317(f225(a1),x67441),f317(f317(f74(a1),x67442),f72(a1))))
% 92.26/92.09 [6745]P1(f317(f317(f225(a1),x67451),x67452))+~P1(f317(f317(f224(a1),x67451),f317(f317(f23(a1),x67452),f72(a1))))
% 92.26/92.09 [6747]P1(f317(f317(f224(a897),x67471),x67472))+~P1(f317(f317(f224(a1),f317(f90(a1),x67471)),f317(f90(a1),x67472)))
% 92.26/92.09 [6748]P1(f317(f317(f224(a897),x67481),x67482))+~P1(f317(f317(f224(a1),f317(f90(a1),x67481)),f317(f90(a1),x67482)))
% 92.26/92.09 [6749]P1(f317(f317(f224(a1),x67491),x67492))+~P1(f317(f317(f224(a1),f317(f94(a1),x67491)),f317(f94(a1),x67492)))
% 92.26/92.09 [6750]P1(f317(f317(f225(a897),x67501),x67502))+~P1(f317(f317(f225(a1),f317(f90(a1),x67501)),f317(f90(a1),x67502)))
% 92.26/92.09 [6751]P1(f317(f317(f225(a897),x67511),x67512))+~P1(f317(f317(f225(a1),f317(f90(a1),x67511)),f317(f90(a1),x67512)))
% 92.26/92.09 [6752]P1(f317(f317(f225(a1),x67521),x67522))+~P1(f317(f317(f225(a897),f317(f94(a897),x67521)),f317(f94(a897),x67522)))
% 92.26/92.09 [6753]P1(f317(f317(f225(a1),x67531),x67532))+~P1(f317(f317(f225(a1),f317(f94(a1),x67531)),f317(f94(a1),x67532)))
% 92.26/92.09 [6825]~E(f280(a897,f277(a897),x68251,x68252),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x68251),x68252))
% 92.26/92.09 [6826]~E(f280(a897,f277(a897),x68261,x68262),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x68261),x68262))
% 92.26/92.09 [6851]P1(f317(f317(f277(a897),x68511),x68512))+~P1(f317(f317(f319(a897),x68512),f284(a897,f277(a897),x68511)))
% 92.26/92.09 [6852]P1(f317(f317(f277(a897),x68521),x68522))+~P1(f317(f317(f319(a897),x68521),f286(a897,f277(a897),x68522)))
% 92.26/92.09 [6853]~E(f674(x68532,x68531),f103(x68531))+E(f317(f132(f898(x68531),f898(x68531),f124(x68531),f103(x68531)),x68532),f103(x68531))
% 92.26/92.09 [6854]~E(f675(x68542,x68541),f103(x68541))+E(f317(f132(f898(x68541),f898(x68541),f124(x68541),f103(x68541)),x68542),f103(x68541))
% 92.26/92.09 [6858]~P5(x68581)+E(f317(f132(x68581,x68581,f92(x68581),f232(x68581)),x68582),f33(x68581,f317(f162(x68581),x68582)))
% 92.26/92.09 [6859]~P5(x68591)+E(f317(f132(x68591,x68591,f91(x68591),f178(x68591)),x68592),f32(x68591,f317(f162(x68591),x68592)))
% 92.26/92.09 [6873]E(x68731,f2(a89))+E(f317(f317(f74(a897),f317(a20,f317(f317(f23(a89),x68731),f72(a89)))),f317(a102,x68732)),f317(f317(f74(a897),f317(a20,x68731)),x68732))
% 92.26/92.09 [6922]P1(f317(f317(f225(a1),f317(f317(f23(a1),x69221),x69222)),f2(a1)))+~P1(f317(f317(f225(a1),x69221),x69222))
% 92.26/92.09 [6947]~P107(x69471)+E(f317(f317(f91(f904(x69471,a893)),f317(f317(f299(x69471),x69472),f178(f904(x69471,a893)))),f317(f294(x69471),x69472)),f317(f273(x69471),x69472))
% 92.26/92.09 [7027]~P59(x70271,x70272)+P36(x70271,f317(f252(f903(x70271,x70271)),f317(f247(x70271,x70271,a893),x70272)))
% 92.26/92.09 [7028]~P59(x70281,x70282)+P57(x70281,f317(f252(f903(x70281,x70281)),f317(f247(x70281,x70281,a893),x70282)))
% 92.26/92.09 [7029]~P49(x70291,x70292)+P37(x70291,f317(f252(f903(x70291,x70291)),f317(f247(x70291,x70291,a893),x70292)))
% 92.26/92.09 [7030]~P50(x70301,x70302)+P51(x70301,f317(f252(f903(x70301,x70301)),f317(f247(x70301,x70301,a893),x70302)))
% 92.26/92.09 [7031]E(x70311,f178(f904(x70312,a893)))+~P1(f317(f317(f224(f904(x70312,a893)),x70311),f178(f904(x70312,a893))))
% 92.26/92.09 [7115]~P1(f317(f317(f225(a897),f2(a897)),x71152))+P1(f317(f317(f224(a897),f41(a897,x71151,x71152)),x71152))
% 92.26/92.09 [7116]~P1(f317(f317(f224(a1),f2(a1)),x71161))+P1(f317(f317(f224(a1),f41(a1,x71161,x71162)),x71161))
% 92.26/92.09 [7117]~P1(f317(f317(f225(a897),f2(a897)),x71172))+P1(f317(f317(f225(a897),f41(a897,x71171,x71172)),x71172))
% 92.26/92.09 [7118]~P1(f317(f317(f225(a1),f2(a1)),x71182))+P1(f317(f317(f225(a1),f41(a1,x71181,x71182)),x71182))
% 92.26/92.09 [7119]~P1(f317(f317(f225(a1),f2(a1)),x71192))+P1(f317(f317(f225(a1),f41(a1,x71191,x71192)),x71192))
% 92.26/92.09 [7195]~P108(x71951)+E(f317(f317(f23(f904(x71951,a893)),f317(f317(f299(x71951),x71952),f178(f904(x71951,a893)))),f317(f272(x71951),x71952)),f317(f317(f299(x71951),x71952),f178(f904(x71951,a893))))
% 92.26/92.09 [7270]~P42(x72701,x72702)+P52(x72701,f232(f904(x72701,a893)),f317(f252(f903(x72701,x72701)),f317(f247(x72701,x72701,a893),x72702)))
% 92.26/92.09 [7271]P1(f317(x72711,x72712))+P1(f317(f317(f319(f904(f903(a897,a897),a893)),f540(x72712,x72711)),a88))
% 92.26/92.09 [7313]E(f317(f317(f124(a897),f129(a897,f317(f292(a897,x73131),x73132))),f317(f317(f141(a897),x73132),f103(a897))),f129(a897,f317(f292(a897,x73131),f317(a102,x73132))))+~P1(f317(f317(f224(a897),x73131),x73132))
% 92.26/92.09 [7314]E(f317(f317(f124(a897),f129(a897,f317(f292(a897,x73141),x73142))),f317(f317(f141(a897),x73142),f103(a897))),f129(a897,f317(f292(a897,x73141),f317(a102,x73142))))+~P1(f317(f317(f224(a897),x73141),x73142))
% 92.26/92.09 [7466]E(x74661,f2(a897))+~E(f317(f132(a897,a897,f74(a897),x74661),x74662),f2(a897))
% 92.26/92.09 [7491]~P1(f317(f317(f225(a1),f317(f317(f23(a1),x74911),x74912)),f2(a1)))+P1(f317(f317(f225(a1),x74911),x74912))
% 92.26/92.09 [7520]P36(x75201,x75202)+~P36(x75201,f317(f317(f279(x75201,x75201,x75201),x75202),x75202))
% 92.26/92.09 [7545]~P1(f317(f317(f224(a897),f317(a102,x75451)),x75452))+P1(f175(a893,a229,f317(f224(a897),x75451),x75452))
% 92.26/92.09 [7700]P24(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x77001),x77002)+P1(f317(f317(f319(a897),f693(x77001,x77002)),x77002))
% 92.26/92.09 [7757]E(f317(f317(f317(f60(a897,x77571,f74(a897)),f317(f16(a897,x77571),f72(a897))),f2(a897)),x77572),f317(f30(x77571),x77572))+~P1(f317(f29(x77571),x77572))
% 92.26/92.09 [7758]E(f317(f317(f317(f60(a897,x77581,f74(a897)),f317(f16(a897,x77581),f72(a897))),f2(a897)),x77582),f317(f30(x77581),x77582))+~P1(f317(f29(x77581),x77582))
% 92.26/92.09 [7800]P24(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x78001),x78002)+~P1(f317(f317(f224(a897),x78001),f693(x78001,x78002)))
% 92.26/92.09 [7856]P36(x78561,x78562)+P1(f317(f317(f224(f904(x78561,a893)),f549(x78562,x78561)),f317(f275(x78561,x78561,x78562),f549(x78562,x78561))))
% 92.26/92.09 [7861]P59(x78611,x78612)+~P36(x78611,f317(f252(f903(x78611,x78611)),f317(f247(x78611,x78611,a893),x78612)))
% 92.26/92.09 [7862]P49(x78621,x78622)+~P37(x78621,f317(f252(f903(x78621,x78621)),f317(f247(x78621,x78621,a893),x78622)))
% 92.26/92.09 [7863]P50(x78631,x78632)+~P51(x78631,f317(f252(f903(x78631,x78631)),f317(f247(x78631,x78631,a893),x78632)))
% 92.26/92.09 [7931]P1(f317(f317(f224(a897),f317(a102,x79311)),x79312))+~P1(f175(a893,a229,f317(f224(a897),x79311),x79312))
% 92.26/92.09 [7988]P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x79881),x79882)),f297(a897,a307)))+~P1(f317(f317(f224(a897),x79881),x79882))
% 92.26/92.09 [8084]P42(x80841,x80842)+~P52(x80841,f232(f904(x80841,a893)),f317(f252(f903(x80841,x80841)),f317(f247(x80841,x80841,a893),x80842)))
% 92.26/92.09 [8139]~P1(f317(f127(x81391),x81392))+P1(f317(f127(f904(x81391,a893)),f317(f317(f144(f898(x81391),f904(x81391,a893)),f162(x81391)),f50(x81391,x81392))))
% 92.26/92.09 [8340]~P36(x83401,f317(f276(x83401,x83401),x83402))+P36(x83401,f317(f276(x83401,x83401),f317(f317(f279(x83401,x83401,x83401),x83402),f297(x83401,x83402))))
% 92.26/92.09 [8352]P150(x83521,f317(f317(f299(a892),f317(a908,x83522)),f178(f904(a892,a893))))+~P150(f317(f317(f299(a892),f317(a908,x83522)),x83521),f317(f317(f299(a892),f909(f222(a894,f34(x83522)))),f178(f904(a892,a893))))
% 92.26/92.09 [8439]P25(x84391,a897,f803(x84392,x84391),x84392,f317(f292(a897,f2(a897)),f317(f30(x84391),x84392)))+~P1(f317(f29(x84391),x84392))
% 92.26/92.09 [8440]P25(a897,x84401,f804(x84402,x84401),f317(f292(a897,f2(a897)),f317(f30(x84401),x84402)),x84402)+~P1(f317(f29(x84401),x84402))
% 92.26/92.09 [8457]P25(a897,x84571,f805(x84572,x84571),f293(a897,f72(a897),f317(f30(x84571),x84572)),x84572)+~P1(f317(f29(x84571),x84572))
% 92.26/92.09 [8467]P1(f317(f29(f903(x84671,x84671)),f317(f317(f279(x84671,x84671,x84671),x84672),f297(x84671,x84672))))+~P1(f317(f29(f903(x84671,x84671)),x84672))
% 92.26/92.09 [8494]E(x84941,f2(a1))+P1(f317(f45(x84942,x84941),f317(f317(f242(a1,a1),f317(f317(f31(a1),x84942),x84941)),f41(a1,x84942,x84941))))
% 92.26/92.09 [8507]~P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x85071),x85072)),f297(a897,a307)))+P1(f317(f317(f224(a897),x85071),x85072))
% 92.26/92.09 [8524]~P82(x85241)+E(f317(f132(x85241,x85241,f317(f7(x85241,x85241,x85241),f74(x85241)),f2(x85241)),f317(f158(x85241),x85242)),f317(f132(x85241,x85241,f74(x85241),f2(x85241)),x85242))
% 92.26/92.09 [8695]~P107(x86951)+E(f317(f132(f898(x86951),x86951,f317(f7(x86951,f898(x86951),f898(x86951)),f138(x86951,x86951,f5(x86951))),f103(x86951)),x86952),f140(x86951,x86951,f5(x86951),x86952))
% 92.26/92.09 [8806]~P57(x88061,f317(f252(f903(x88061,x88061)),f317(f247(x88061,x88061,a893),x88062)))+P57(x88061,f317(f252(f903(x88061,x88061)),f317(f247(x88061,x88061,a893),f233(x88061,x88061,x88062))))
% 92.26/92.09 [8820]P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x88201),x88202)),f317(f317(f279(a897,a897,a897),a307),f297(a897,a307))))+~P1(f317(f317(f225(a897),x88201),x88202))
% 92.26/92.09 [8866]~P1(f317(f29(f903(x88661,x88661)),f317(f317(f279(x88661,x88661,x88661),x88662),f297(x88661,x88662))))+P1(f317(f29(f903(x88661,x88661)),x88662))
% 92.26/92.09 [8924]~P57(x89241,f317(f252(f903(x89241,x89241)),f317(f247(x89241,x89241,a893),f233(x89241,x89241,x89242))))+P57(x89241,f317(f252(f903(x89241,x89241)),f317(f247(x89241,x89241,a893),x89242)))
% 92.26/92.09 [9122]P57(x91221,x91222)+P1(f317(f317(f319(f903(x91221,x91221)),f317(f317(f242(x91221,x91221),f580(x91222,x91221)),f580(x91222,x91221))),f317(f317(f279(x91221,x91221,x91221),x91222),f297(x91221,x91222))))
% 92.26/92.09 [9123]P57(x91231,x91232)+P1(f317(f317(f319(f903(x91231,x91231)),f317(f317(f242(x91231,x91231),f592(x91232,x91231)),f592(x91232,x91231))),f317(f317(f279(x91231,x91231,x91231),x91232),f297(x91231,x91232))))
% 92.26/92.09 [9241]~P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x92411),x92412)),f317(f317(f279(a897,a897,a897),a307),f297(a897,a307))))+P1(f317(f317(f225(a897),x92411),x92412))
% 92.26/92.09 [5145]~P94(x51451)+E(f317(f317(f74(x51451),f317(f94(x51451),a77)),x51452),x51452)
% 92.26/92.09 [5175]~P68(x51751)+E(f317(f317(f74(x51751),f317(f73(x51751),x51752)),x51752),f2(x51751))
% 92.26/92.09 [5176]~P75(x51761)+E(f317(f317(f74(x51761),f317(f73(x51761),x51762)),x51762),f2(x51761))
% 92.26/92.09 [5177]~P96(x51771)+E(f317(f317(f91(x51771),f317(f73(x51771),x51772)),x51772),f232(x51771))
% 92.26/92.09 [5178]~P96(x51781)+E(f317(f317(f92(x51781),f317(f73(x51781),x51782)),x51782),f178(x51781))
% 92.26/92.09 [5211]~P94(x52111)+E(f317(f317(f75(x52111),f317(f94(x52111),a87)),x52112),f317(f73(x52111),x52112))
% 92.26/92.09 [5368]~P117(x53681)+E(f317(f317(f75(x53681),f317(f73(x53681),f72(x53681))),x53682),f317(f73(x53681),x53682))
% 92.26/92.09 [5414]E(f317(f70(a1),x54141),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54141),x54142)),f72(a1))
% 92.26/92.09 [5506]~P94(x55061)+E(f317(f317(f74(x55061),f72(x55061)),f317(f94(x55061),x55062)),f317(f94(x55061),f317(f317(f23(a1),x55062),a87)))
% 92.26/92.09 [5559]~P107(x55591)+E(f14(x55591,f317(f317(f299(x55591),x55592),f178(f904(x55591,a893)))),x55592)
% 92.26/92.09 [5560]~P107(x55601)+E(f15(x55601,f317(f317(f299(x55601),x55602),f178(f904(x55601,a893)))),x55602)
% 92.26/92.09 [5561]~P99(x55611)+E(f13(x55611,f317(f317(f299(x55611),x55612),f178(f904(x55611,a893)))),x55612)
% 92.26/92.09 [5562]~P99(x55621)+E(f10(x55621,f317(f317(f299(x55621),x55622),f178(f904(x55621,a893)))),x55622)
% 92.26/92.09 [5563]~P5(x55631)+E(f33(x55631,f317(f317(f299(x55631),x55632),f178(f904(x55631,a893)))),x55632)
% 92.26/92.09 [5564]~P5(x55641)+E(f32(x55641,f317(f317(f299(x55641),x55642),f178(f904(x55641,a893)))),x55642)
% 92.26/92.09 [5586]E(f317(f317(f74(a897),x55861),f317(f317(f23(a897),x55862),x55861)),x55862)+P1(f317(f317(f225(a897),x55862),x55861))
% 92.26/92.09 [5624]E(x56241,f103(x56242))+P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x56242)),x56241)))
% 92.26/92.09 [5750]~P107(x57501)+E(f11(x57501,f228(x57501),f317(f317(f299(x57501),x57502),f178(f904(x57501,a893)))),x57502)
% 92.26/92.09 [5751]~P107(x57511)+E(f12(x57511,f223(x57511),f317(f317(f299(x57511),x57512),f178(f904(x57511,a893)))),x57512)
% 92.26/92.09 [5812]E(f317(f317(f23(a897),x58121),f317(f317(f23(a897),x58121),x58122)),x58122)+~P1(f317(f317(f224(a897),x58122),x58121))
% 92.26/92.09 [5813]E(f317(f317(f74(a897),x58131),f317(f317(f23(a897),x58132),x58131)),x58132)+~P1(f317(f317(f224(a897),x58131),x58132))
% 92.26/92.09 [5834]E(f41(a897,f317(f317(f23(a897),x58341),x58342),x58342),f41(a897,x58341,x58342))+P1(f317(f317(f225(a897),x58341),x58342))
% 92.26/92.09 [5835]E(f41(a897,f317(f317(f23(a897),x58351),x58352),x58352),f41(a897,x58351,x58352))+P1(f317(f317(f225(a897),x58351),x58352))
% 92.26/92.09 [5846]E(f317(f73(a1),f317(f317(f31(a1),x58461),f317(f73(a1),x58462))),f283(x58461,x58462))+P1(f317(f317(f224(a1),f2(a1)),x58462))
% 92.26/92.09 [5848]~E(x58482,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x58481),x58482)))
% 92.26/92.09 [5911]~P94(x59111)+E(f317(f317(f74(x59111),f317(f73(x59111),f72(x59111))),f317(f94(x59111),x59112)),f317(f94(x59111),f317(f317(f74(a1),x59112),a87)))
% 92.26/92.09 [5913]E(f317(f317(f234(a897),f317(f94(a897),x59131)),x59132),f317(f317(f234(a897),f2(a897)),x59132))+~P1(f317(a183,f317(f94(a1),x59131)))
% 92.26/92.09 [6021]E(f317(f131(a897),f129(a897,f317(f292(a897,x60211),x60212))),x60211)+~P1(f317(f317(f225(a897),x60211),x60212))
% 92.26/92.09 [6037]E(f317(f317(f75(a897),f317(f94(a897),x60371)),f317(f94(a897),x60372)),f317(f94(a897),f317(f317(f75(a1),x60371),x60372)))+P1(f317(f317(f225(a1),x60371),a77))
% 92.26/92.09 [6043]~P125(x60431)+P1(f317(f317(f224(x60431),f2(x60431)),f317(f317(f75(x60431),x60432),x60432)))
% 92.26/92.09 [6055]E(f317(f317(f23(a897),f317(a102,x60551)),x60552),f317(a102,f317(f317(f23(a897),x60551),x60552)))+~P1(f317(f317(f224(a897),x60552),x60551))
% 92.26/92.09 [6059]E(f41(a897,f317(f317(f23(a897),x60591),x60592),x60592),f41(a897,x60591,x60592))+~P1(f317(f317(f224(a897),x60592),x60591))
% 92.26/92.09 [6112]E(f317(f317(f234(a897),f317(a95,x61121)),x61122),f317(a95,f317(f317(f234(a1),x61121),x61122)))+~P1(f317(f317(f224(a1),f2(a1)),x61121))
% 92.26/92.09 [6113]E(f317(f317(f234(a897),f317(a95,x61131)),x61132),f317(a95,f317(f317(f234(a1),x61131),x61132)))+~P1(f317(f317(f224(a1),f2(a1)),x61131))
% 92.26/92.09 [6131]P1(f317(f127(x61311),x61312))+P1(f317(f317(f225(a897),f644(x61312,x61311)),f317(f179(f898(x61311)),x61312)))
% 92.26/92.09 [6132]P1(f317(f127(x61321),x61322))+P1(f317(f317(f225(a897),f648(x61322,x61321)),f317(f179(f898(x61321)),x61322)))
% 92.26/92.09 [6146]~E(x61461,f103(x61462))+~P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x61462)),x61461)))
% 92.26/92.09 [6157]E(f134(a897,f129(a897,f317(f292(a897,x61571),x61572))),f317(f317(f23(a897),x61572),f72(a897)))+~P1(f317(f317(f225(a897),x61571),x61572))
% 92.26/92.09 [6160]E(f317(f317(f74(a1),x61601),f317(f90(a1),f317(a102,f843(x61602,x61601)))),x61602)+~P1(f317(f317(f225(a1),x61601),x61602))
% 92.26/92.09 [6167]E(x61671,f2(a897))+E(f317(f317(f75(a897),x61672),f317(f317(f234(a897),x61672),f317(f317(f23(a897),x61671),f72(a897)))),f317(f317(f234(a897),x61672),x61671))
% 92.26/92.09 [6195]E(f317(f317(f75(a897),f317(a95,x61951)),f317(a95,x61952)),f317(a95,f317(f317(f75(a1),x61951),x61952)))+~P1(f317(f317(f224(a1),f2(a1)),x61951))
% 92.26/92.09 [6196]E(f317(f317(f31(a897),f317(a95,x61961)),f317(a95,x61962)),f317(a95,f317(f317(f31(a1),x61961),x61962)))+~P1(f317(f317(f224(a1),f2(a1)),x61961))
% 92.26/92.09 [6211]~P119(x62111)+E(f317(f317(f74(x62111),x62112),x62112),f317(f317(f75(x62111),f317(f317(f74(x62111),f72(x62111)),f72(x62111))),x62112))
% 92.26/92.09 [6234]E(f317(f317(f23(a1),f317(f90(a1),x62341)),f317(f90(a1),x62342)),f317(f90(a1),f317(f317(f23(a897),x62341),x62342)))+~P1(f317(f317(f224(a897),x62342),x62341))
% 92.26/92.09 [6236]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x62361),x62362)),f46(x62361,x62362))+~P1(f317(f317(f224(a1),x62362),f2(a1)))
% 92.26/92.09 [6270]E(f169(x62701,x62702),f103(f898(x62701)))+P1(f317(f317(f319(f898(x62701)),f643(x62702,x62701)),f317(f162(f898(x62701)),x62702)))
% 92.26/92.09 [6281]E(f106(a1,f317(f119(a1),x62811),f118(x62812,f317(f317(f74(a1),x62811),f72(a1)))),f118(x62812,x62811))+P1(f317(f317(f225(a1),x62812),x62811))
% 92.26/92.09 [6336]~P1(f317(f317(f277(a897),x63361),x63362))+P1(f317(f317(f277(a897),x63361),f317(f317(f74(a897),x63362),x63361)))
% 92.26/92.09 [6358]E(f317(f317(f141(a1),x63581),f168(f317(f317(f74(a1),x63581),f72(a1)),x63582)),f168(x63581,x63582))+~P1(f317(f317(f224(a1),x63581),x63582))
% 92.26/92.09 [6380]P150(x63801,x63802)+~P1(f317(f317(f224(f904(a892,a893)),x63802),x63801))
% 92.26/92.09 [6401]~P1(f317(f317(f225(a897),x64012),x64011))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f23(a897),x64011),x64012)))
% 92.26/92.09 [6433]~P1(f317(f317(f225(a897),x64331),f317(a95,x64332)))+P1(f317(f317(f225(a1),f317(f90(a1),x64331)),x64332))
% 92.26/92.09 [6462]~P107(x64621)+E(f317(f317(f91(f904(x64621,a893)),f317(f272(x64621),x64622)),f317(f317(f299(x64621),x64622),f178(f904(x64621,a893)))),f317(f291(x64621),x64622))
% 92.26/92.09 [6463]~P1(f317(f317(f224(a1),f2(a1)),x64631))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),x64631),x64632)))
% 92.26/92.09 [6464]~P1(f317(f317(f225(a897),f2(a897)),x64642))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f74(a897),x64641),x64642)))
% 92.26/92.09 [6465]~P1(f317(f317(f225(a897),f2(a897)),x64651))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f74(a897),x64651),x64652)))
% 92.26/92.09 [6466]~P1(f317(f317(f225(a897),f2(a897)),x64661))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x64661),x64662)))
% 92.26/92.09 [6493]~E(f317(x64931,f2(a897)),f2(a897))+E(f317(f317(f6(a897,a897),x64931),f293(a897,f317(a102,f2(a897)),x64932)),f317(f317(f6(a897,a897),x64931),f293(a897,f2(a897),x64932)))
% 92.26/92.09 [6559]~P94(x65591)+E(f317(f317(f75(x65591),f317(f317(f74(x65591),f72(x65591)),f72(x65591))),f317(f94(x65591),x65592)),f317(f94(x65591),f317(f317(f74(a1),x65592),x65592)))
% 92.26/92.09 [6579]E(f317(f317(f299(a1),x65791),f293(a1,f317(f317(f74(a1),x65791),f72(a1)),x65792)),f293(a1,x65791,x65792))+P1(f317(f317(f225(a1),x65792),x65791))
% 92.26/92.09 [6580]P1(f317(f317(f225(a897),x65801),f317(a95,x65802)))+~P1(f317(f317(f225(a1),f317(f90(a1),x65801)),x65802))
% 92.26/92.09 [6680]P1(f317(f317(f277(a897),x66801),x66802))+~P1(f317(f317(f277(a897),x66801),f317(f317(f74(a897),x66802),x66801)))
% 92.26/92.09 [6685]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x66851)),f317(f94(a897),x66852))),f317(f317(f234(a897),f317(f94(a897),x66851)),f317(f94(a897),x66852)))+P1(f317(a183,f317(f94(a1),x66851)))
% 92.26/92.09 [6686]E(f317(a95,f317(f317(f31(a1),f317(f94(a1),x66861)),f317(f94(a1),x66862))),f317(f317(f31(a897),f317(f94(a897),x66861)),f317(f94(a897),x66862)))+P1(f317(a183,f317(f94(a1),x66861)))
% 92.26/92.09 [6746]P1(f317(f317(f225(a897),x67461),x67462))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f23(a897),x67462),x67461)))
% 92.26/92.09 [6789]P1(f317(f317(f225(a897),f2(a897)),x67891))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x67892),x67891)))
% 92.26/92.09 [6790]P1(f317(f317(f225(a897),f2(a897)),x67901))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x67901),x67902)))
% 92.26/92.09 [6807]E(f129(a897,f317(f292(a897,f317(f94(a897),x68071)),f317(f94(a897),x68072))),f103(a897))+P1(f317(f317(f225(a897),f317(f94(a897),x68071)),f317(f94(a897),x68072)))
% 92.26/92.09 [6809]~P1(f317(f317(f224(a1),x68091),f2(a1)))+E(f317(f317(f75(a897),f317(a95,f317(f73(a1),x68091))),f317(a95,f317(f73(a1),x68092))),f317(a95,f317(f317(f75(a1),x68091),x68092)))
% 92.26/92.09 [6870]~E(x68702,f178(f904(x68701,a893)))+P1(f317(f317(f224(f904(x68701,a893)),x68702),f317(f73(f904(x68701,a893)),x68702)))
% 92.26/92.09 [6932]~P94(x69321)+E(f317(f317(f74(x69321),f317(f317(f74(x69321),f2(x69321)),f317(f94(x69321),x69322))),f317(f94(x69321),x69322)),f317(f94(x69321),f317(f317(f74(a1),x69322),x69322)))
% 92.26/92.09 [6987]~P1(f317(f317(f225(a1),x69871),x69872))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x69871),f72(a1))),x69872))
% 92.26/92.09 [6988]~P1(f317(f317(f225(a1),x69881),x69882))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x69881),f72(a1))),x69882))
% 92.26/92.09 [7060]E(x70601,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x70602)),f317(f73(a1),f317(f90(a1),x70601))))
% 92.26/92.09 [7061]E(x70611,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x70611)),f317(f73(a1),f317(f90(a1),x70612))))
% 92.26/92.09 [7163]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x71631),x71632)),f46(x71631,x71632))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x71631),x71632)))
% 92.26/92.09 [7207]~P26(x72071,x72072)+P36(x72071,f317(f241(f904(f903(x72071,x72071),a893),f904(f903(x72071,x72071),a893)),x72072))
% 92.26/92.09 [7226]~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x72261))+P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f234(a897),x72261),x72262)))
% 92.26/92.09 [7403]~P1(f317(f317(f224(a1),x74031),x74032))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74031),x74031)),f317(f317(f74(a1),x74032),x74032)))
% 92.26/92.09 [7404]~P1(f317(f317(f224(a1),x74041),x74042))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74041),x74041)),f317(f317(f74(a1),x74042),x74042)))
% 92.26/92.09 [7408]~P1(f317(f317(f225(a1),x74081),x74082))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74081),x74081)),f317(f317(f74(a1),x74082),x74082)))
% 92.26/92.09 [7409]~P1(f317(f317(f225(a1),x74091),x74092))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74091),x74091)),f317(f317(f74(a1),x74092),x74092)))
% 92.26/92.09 [7467]~P1(f317(f317(f225(a897),f2(a897)),x74671))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x74671),f317(a102,x74672))),x74671))
% 92.26/92.09 [7502]P1(f317(f317(f224(a897),f317(a102,f2(a897))),x75021))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x75022),x75021)))
% 92.26/92.09 [7503]P1(f317(f317(f224(a897),f317(a102,f2(a897))),x75031))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x75031),x75032)))
% 92.26/92.09 [7507]P1(f317(f317(f224(a897),f317(f317(f154(a897),x75071),x75072)),f317(f155(a897),x75071)))+~P1(f317(f317(f225(a897),x75072),f317(f179(f898(a897)),x75071)))
% 92.26/92.09 [7544]P1(f317(f317(f225(a1),x75441),x75442))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x75441),f72(a1))),x75442))
% 92.26/92.09 [7553]~P1(f317(f317(f319(a897),x75531),x75532))+P1(f317(f317(f319(a1),f317(f90(a1),x75531)),f317(f300(a897,a1,f90(a1)),x75532)))
% 92.26/92.09 [7585]P1(f317(f29(x75851),f232(f904(x75851,a893))))+~P1(f317(f29(f904(x75852,x75851)),f232(f904(f904(x75852,x75851),a893))))
% 92.26/92.09 [7586]P1(f317(f29(x75861),f232(f904(x75861,a893))))+~P1(f317(f29(f902(x75862,x75861)),f232(f904(f902(x75862,x75861),a893))))
% 92.26/92.09 [7587]P1(f317(f29(x75871),f232(f904(x75871,a893))))+~P1(f317(f29(f902(x75871,x75872)),f232(f904(f902(x75871,x75872),a893))))
% 92.26/92.09 [7627]E(x76271,f178(f904(x76272,a893)))+~P1(f317(f317(f224(f904(x76272,a893)),x76271),f317(f73(f904(x76272,a893)),x76271)))
% 92.26/92.09 [7768]E(f317(f132(f898(x77681),f898(x77681),f124(x77681),f103(x77681)),x77682),f103(x77681))+P1(f317(f317(f319(f898(x77681)),f674(x77682,x77681)),f317(f162(f898(x77681)),x77682)))
% 92.26/92.09 [7769]E(f317(f132(f898(x77691),f898(x77691),f124(x77691),f103(x77691)),x77692),f103(x77691))+P1(f317(f317(f319(f898(x77691)),f675(x77692,x77691)),f317(f162(f898(x77691)),x77692)))
% 92.26/92.09 [7908]E(f169(x79081,f317(f317(f141(f898(x79081)),f103(x79081)),x79082)),f169(x79081,x79082))+~P1(f317(f305(f898(f898(x79081)),f170(x79081)),f317(f317(f141(f898(x79081)),f103(x79081)),x79082)))
% 92.26/92.09 [8005]P1(f317(f317(f224(a1),x80051),x80052))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x80051),x80051)),f317(f317(f74(a1),x80052),x80052)))
% 92.26/92.09 [8006]P1(f317(f317(f224(a1),x80061),x80062))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x80061),x80061)),f317(f317(f74(a1),x80062),x80062)))
% 92.26/92.09 [8010]P1(f317(f317(f225(a1),x80101),x80102))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x80101),x80101)),f317(f317(f74(a1),x80102),x80102)))
% 92.26/92.09 [8011]P1(f317(f317(f225(a1),x80111),x80112))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x80111),x80111)),f317(f317(f74(a1),x80112),x80112)))
% 92.26/92.09 [8104]~P119(x81041)+E(f317(f317(f75(x81041),f317(f317(f74(x81041),f72(x81041)),f72(x81041))),f317(f317(f6(a897,x81041),f90(x81041)),f293(a897,f72(a897),x81042))),f317(f317(f75(x81041),f317(f90(x81041),x81042)),f317(f317(f74(x81041),f317(f90(x81041),x81042)),f72(x81041))))
% 92.26/92.09 [8138]E(f317(f317(f141(a1),f317(f94(a1),x81381)),f168(f317(f317(f74(a1),f317(f94(a1),x81381)),f72(a1)),f317(f94(a1),x81382))),f168(f317(f94(a1),x81381),f317(f94(a1),x81382)))+~P1(f317(f317(f224(a1),f317(f94(a1),x81381)),f317(f94(a1),x81382)))
% 92.26/92.09 [8153]P1(f317(f317(f319(a897),x81531),x81532))+~P1(f317(f317(f319(a1),f317(f90(a1),x81531)),f317(f300(a897,a1,f90(a1)),x81532)))
% 92.26/92.09 [8312]~P1(f317(f29(x83121),x83122))+E(f317(f300(a897,x83121,f523(x83122,x83121)),f317(f252(a897),f317(f317(f7(a897,a897,a893),f225(a897)),f524(x83122,x83121)))),x83122)
% 92.26/92.09 [8592]P53(x85921,x85922)+P1(f317(f317(f319(f903(x85921,x85921)),f317(f317(f242(x85921,x85921),f340(x85922,x85921)),f340(x85922,x85921))),x85922))
% 92.26/92.09 [8593]P37(x85931,x85932)+P1(f317(f317(f319(f903(x85931,x85931)),f317(f317(f242(x85931,x85931),f769(x85932,x85931)),f770(x85932,x85931))),x85932))
% 92.26/92.09 [8594]P37(x85941,x85942)+P1(f317(f317(f319(f903(x85941,x85941)),f317(f317(f242(x85941,x85941),f770(x85942,x85941)),f771(x85942,x85941))),x85942))
% 92.26/92.09 [8595]P38(x85951,x85952)+P1(f317(f317(f319(f903(x85951,x85951)),f317(f317(f242(x85951,x85951),f684(x85952,x85951)),f683(x85952,x85951))),x85952))
% 92.26/92.09 [8596]P38(x85961,x85962)+P1(f317(f317(f319(f903(x85961,x85961)),f317(f317(f242(x85961,x85961),f683(x85962,x85961)),f684(x85962,x85961))),x85962))
% 92.26/92.09 [8597]P51(x85971,x85972)+P1(f317(f317(f319(f903(x85971,x85971)),f317(f317(f242(x85971,x85971),f781(x85972,x85971)),f782(x85972,x85971))),x85972))
% 92.26/92.09 [8738]~P94(x87381)+E(f317(f317(f23(x87381),f72(x87381)),f317(f94(x87381),x87382)),f317(f94(x87381),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x87382))))
% 92.26/92.09 [8862]~P1(f317(f317(f224(f904(a897,a893)),x88621),x88622))+P1(f317(f317(f224(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x88621)),f317(f300(a897,a1,f90(a1)),x88622)))
% 92.26/92.09 [8863]~P1(f317(f317(f225(f904(a897,a893)),x88631),x88632))+P1(f317(f317(f225(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x88631)),f317(f300(a897,a1,f90(a1)),x88632)))
% 92.26/92.09 [8896]~P1(f317(f317(f225(a1),x88961),x88962))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88961),x88961)),a87)),f317(f317(f74(a1),x88962),x88962)))
% 92.26/92.09 [8897]~P1(f317(f317(f225(a1),x88971),x88972))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88971),x88971)),a87)),f317(f317(f74(a1),x88972),x88972)))
% 92.26/92.09 [8898]~P1(f317(f317(f225(a1),x88981),x88982))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88981),x88981)),a87)),f317(f317(f74(a1),x88982),x88982)))
% 92.26/92.09 [8899]~P1(f317(f317(f225(a1),x88991),x88992))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88991),x88991)),a87)),f317(f317(f74(a1),x88992),x88992)))
% 92.26/92.09 [8972]~P1(f317(f317(f319(a897),x89721),f317(f162(a897),x89722)))+P1(f317(f317(f224(a897),x89721),f317(f132(a897,a897,f74(a897),f2(a897)),x89722)))
% 92.26/92.09 [9061]P45(x90611,x90612)+~P1(f317(f317(f319(f903(x90611,x90611)),f317(f317(f242(x90611,x90611),f879(x90612,x90611)),f879(x90612,x90611))),x90612))
% 92.26/92.09 [9062]P37(x90621,x90622)+~P1(f317(f317(f319(f903(x90621,x90621)),f317(f317(f242(x90621,x90621),f769(x90622,x90621)),f771(x90622,x90621))),x90622))
% 92.26/92.09 [9063]P51(x90631,x90632)+~P1(f317(f317(f319(f903(x90631,x90631)),f317(f317(f242(x90631,x90631),f782(x90632,x90631)),f781(x90632,x90631))),x90632))
% 92.26/92.09 [9204]~P1(f317(f317(f224(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x92041)),f317(f300(a897,a1,f90(a1)),x92042)))+P1(f317(f317(f224(f904(a897,a893)),x92041),x92042))
% 92.26/92.09 [9205]~P1(f317(f317(f225(f904(a1,a893)),f317(f300(a897,a1,f90(a1)),x92051)),f317(f300(a897,a1,f90(a1)),x92052)))+P1(f317(f317(f225(f904(a897,a893)),x92051),x92052))
% 92.26/92.09 [9289]P1(f317(f317(f225(a1),x92891),x92892))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92891),x92891)),a87)),f317(f317(f74(a1),x92892),x92892)))
% 92.26/92.09 [9290]P1(f317(f317(f225(a1),x92901),x92902))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92901),x92901)),a87)),f317(f317(f74(a1),x92902),x92902)))
% 92.26/92.09 [9291]P1(f317(f317(f225(a1),x92911),x92912))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92911),x92911)),a87)),f317(f317(f74(a1),x92912),x92912)))
% 92.26/92.09 [9292]P1(f317(f317(f225(a1),x92921),x92922))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92921),x92921)),a87)),f317(f317(f74(a1),x92922),x92922)))
% 92.26/92.09 [10189]~P105(x101891)+E(f106(f898(x101891),f317(f119(f898(x101891)),f103(x101891)),f317(f317(f317(f86(f899(f898(x101891))),f317(f317(f225(a1),f2(a1)),x101892)),f317(f108(f903(x101891,f898(x101891)),f898(x101891),f121(x101891,f898(x101891),f122(x101891,f317(f317(f23(a1),x101892),f72(a1))),f122(f898(x101891),f317(f317(f23(a1),x101892),f72(a1))))),f317(f247(x101891,f898(x101891),f899(f898(x101891))),f317(f317(f8(f904(f898(x101891),f898(x101891)),f904(f898(x101891),f899(f898(x101891))),x101891),f317(f8(f898(x101891),f899(f898(x101891)),f898(x101891)),f119(f898(x101891)))),f141(x101891))))),f105(f898(x101891)))),f122(f898(x101891),x101892))
% 92.26/92.09 [10211]~P1(f317(f29(x102111),x102112))+E(f317(f179(f898(x102111)),f84(f898(x102111),f317(f317(f18(f898(x102111),a893,a893),f317(f317(f8(a893,f904(a893,a893),f898(x102111)),a315),f317(f317(f7(f898(x102111),f904(x102111,a893),a893),f317(f317(f8(f904(x102111,a893),f904(f904(x102111,a893),a893),f898(x102111)),a314),f162(x102111))),x102112))),f127(x102111)))),f204(x102111,x102112))
% 92.26/92.09 [6156]E(f317(f317(f74(a897),f317(f317(f23(a897),x61561),x61562)),x61562),x61561)+~P1(f317(f317(f224(a897),x61562),x61561))
% 92.26/92.09 [6230]E(f317(f317(f31(a897),f317(f317(f75(a897),x62301),x62302)),x62302),x62301)+~P1(f317(f317(f225(a897),f2(a897)),x62302))
% 92.26/92.09 [6231]E(f317(f317(f31(a897),f317(f317(f75(a897),x62311),x62312)),x62311),x62312)+~P1(f317(f317(f225(a897),f2(a897)),x62311))
% 92.26/92.09 [6235]~P77(x62351)+E(f317(f317(f6(a897,x62351),f317(f154(x62351),x62352)),f317(f292(a897,f2(a897)),f317(f179(f898(x62351)),x62352))),f317(f155(x62351),x62352))
% 92.26/92.09 [6350]E(f41(a897,f317(a102,f317(f317(f75(a897),x63501),x63502)),x63501),f72(a897))+~P1(f317(f317(f225(a897),f72(a897)),x63501))
% 92.26/92.09 [6356]E(f317(a102,f317(f317(f74(a897),f317(f94(a897),x63561)),x63562)),f317(f317(f74(a897),f72(a897)),x63562))+~P1(f317(a183,f317(f94(a1),x63561)))
% 92.26/92.09 [6386]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x63861)),x63862)),f317(f317(f234(a897),f317(f94(a897),x63861)),x63862))+P1(f317(a183,f317(f94(a1),x63861)))
% 92.26/92.09 [6634]E(f317(f317(f23(a897),x66341),f317(f94(a897),f317(f317(f74(a1),x66342),a87))),f317(f317(f23(a897),f317(a102,x66341)),f317(f94(a897),x66342)))+~P1(f317(f317(f225(a1),a77),x66342))
% 92.26/92.09 [6716]E(x67161,f2(a897))+E(f317(a102,f317(f317(f74(a897),f317(f317(f23(a897),x67161),f72(a897))),x67162)),f317(f317(f74(a897),x67161),x67162))
% 92.26/92.09 [6759]E(x67591,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67591)),x67592)))
% 92.26/92.09 [6774]~E(x67742,f2(a897))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67741)),x67742)))
% 92.26/92.09 [6812]E(x68121,f2(a897))+E(f317(f317(f74(a897),x68122),f317(f317(f75(a897),f317(f317(f23(a897),x68121),f72(a897))),x68122)),f317(f317(f75(a897),x68121),x68122))
% 92.26/92.09 [6863]~P1(f317(f317(f224(a1),x68631),x68632))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68631),a87)),x68632))
% 92.26/92.09 [6991]E(f317(f317(f141(a897),x69911),f129(a897,f317(f292(a897,f317(a102,x69911)),x69912))),f129(a897,f317(f292(a897,x69911),x69912)))+~P1(f317(f317(f225(a897),x69911),x69912))
% 92.26/92.09 [6992]E(f317(f317(f141(a897),x69921),f129(a897,f317(f292(a897,f317(a102,x69921)),x69922))),f129(a897,f317(f292(a897,x69921),x69922)))+~P1(f317(f317(f225(a897),x69921),x69922))
% 92.26/92.09 [7198]E(x71981,x71982)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x71981),x71981)),a87),f317(f317(f23(a1),f317(f317(f74(a1),x71982),x71982)),a87))
% 92.26/92.09 [7201]E(x72011,f103(x72012))+E(f256(x72012,f317(f317(f144(x72012,f903(a89,x72012)),f317(f242(a89,x72012),f72(a89))),x72011)),f265(x72012,x72011))
% 92.26/92.09 [7437]P1(f317(f317(f224(a1),x74371),x74372))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74371),a87)),x74372))
% 92.26/92.09 [7910]~P1(f317(f317(f225(a897),x79101),x79102))+P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x79101),x79102)),a230))
% 92.26/92.09 [8130]~P1(f317(f317(f225(a89),f2(a89)),x81301))+P1(f317(f317(f225(a89),f317(f241(a89,f903(a89,a89)),f317(f257(x81301),x81302))),x81301))
% 92.26/92.09 [8394]~P37(x83941,x83942)+P37(x83941,f317(f317(f91(f904(f903(x83941,x83941),a893)),x83942),f297(x83941,f178(f904(f903(x83941,x83941),a893)))))
% 92.26/92.09 [8395]~P38(x83951,x83952)+P38(x83951,f317(f317(f91(f904(f903(x83951,x83951),a893)),x83952),f297(x83951,f178(f904(f903(x83951,x83951),a893)))))
% 92.26/92.09 [8443]~P85(x84431)+P1(f317(f317(f224(x84431),f317(f70(x84431),f317(f155(x84431),x84432))),f317(f155(x84431),f317(f317(f144(x84431,x84431),f70(x84431)),x84432))))
% 92.26/92.09 [8469]P1(f317(f317(f225(a897),x84691),x84692))+~P1(f317(f317(f319(f903(a897,a897)),f317(f317(f242(a897,a897),x84691),x84692)),a230))
% 92.26/92.09 [8616]E(f317(f317(f242(x86161,x86161),f604(x86162,x86161)),f604(x86162,x86161)),x86162)+~P1(f317(f317(f319(f903(x86161,x86161)),x86162),f297(x86161,f178(f904(f903(x86161,x86161),a893)))))
% 92.26/92.09 [8660]E(f317(f292(a897,x86601),f317(f317(f74(a897),x86601),f317(f30(a897),x86602))),x86602)+~P1(f317(f317(f224(f904(a897,a893)),x86602),f317(f292(a897,x86601),f317(f317(f74(a897),x86601),f317(f30(a897),x86602)))))
% 92.26/92.09 [8681]E(f317(f317(f141(a897),f317(f94(a897),x86811)),f129(a897,f317(f292(a897,f317(a102,f317(f94(a897),x86811))),f317(f94(a897),x86812)))),f129(a897,f317(f292(a897,f317(f94(a897),x86811)),f317(f94(a897),x86812))))+~P1(f317(f317(f225(a897),f317(f94(a897),x86811)),f317(f94(a897),x86812)))
% 92.26/92.09 [8890]P38(x88901,x88902)+~P38(x88901,f317(f317(f91(f904(f903(x88901,x88901),a893)),x88902),f297(x88901,f178(f904(f903(x88901,x88901),a893)))))
% 92.26/92.09 [9016]E(f317(f317(f31(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x90161),x90161)),a87))),f317(f94(a1),f317(f317(f74(a1),x90162),x90162))),f317(f317(f31(a1),f317(f94(a1),x90161)),f317(f94(a1),x90162)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x90162)))
% 92.26/92.09 [9106]~P37(x91061,x91062)+P1(f317(f317(f224(f904(f903(x91061,x91061),a893)),f317(f317(f279(x91061,x91061,x91061),x91062),x91062)),x91062))
% 92.26/92.09 [9133]E(f167(f898(x91331),f317(f317(f8(a893,a893,f898(x91331)),a312),f317(f317(f7(f898(x91331),f898(x91331),a893),a314),f103(x91331))),x91332),f169(x91331,f169(x91331,x91332)))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x91331),a897),f179(f898(x91331))),x91332)))
% 92.26/92.09 [9136]E(f317(f317(f31(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91361),x91361)),a87))),f317(f94(a1),f317(f317(f74(a1),x91362),x91362))),f317(f317(f31(a1),f317(f317(f74(a1),f317(f94(a1),x91361)),f72(a1))),f317(f94(a1),x91362)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x91362)))
% 92.26/92.09 [9986]P1(f317(a183,x99862))+E(f317(f317(f80(a1,a897),f317(f317(f23(a1),x99861),x99862)),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f2(a897))),a95)),f317(f317(f23(a897),f317(a95,x99861)),f317(a95,x99862)))
% 92.26/92.09 [9994]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x99941),f317(f73(a1),x99942)))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f904(a897,a897)),f317(f317(f8(a893,f904(a897,f904(a897,a897)),a1),f86(a897)),a183)),f2(a897))),a95)),f317(f317(f23(a897),f317(f94(a897),x99941)),f317(f94(a897),x99942)))+P1(f317(f317(f225(a1),x99942),a77))
% 92.26/92.09 [9995]~P26(x99951,x99952)+P1(f317(f317(f224(f904(f903(x99951,x99951),a893)),f317(f317(f279(x99951,x99951,x99951),f317(f241(f904(f903(x99951,x99951),a893),f904(f903(x99951,x99951),a893)),x99952)),f317(f246(f904(f903(x99951,x99951),a893),f904(f903(x99951,x99951),a893)),x99952))),f317(f241(f904(f903(x99951,x99951),a893),f904(f903(x99951,x99951),a893)),x99952)))
% 92.26/92.09 [10050]~E(f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,f904(a897,a893),a893),f319(a897)),x100501))),f317(f317(f7(a897,a897,a893),f225(a897)),f317(a102,x100502))))),f2(a897))+~P1(f317(f317(f319(a897),f2(a897)),x100501))
% 92.26/92.09 [10061]E(f289(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100611,x100612),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100612),x100611))
% 92.26/92.09 [10064]E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100641,x100642),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x100641),x100642))
% 92.26/92.09 [10065]E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100651,x100652),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x100651),x100652))
% 92.26/92.09 [10066]E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100661,x100662),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x100661),x100662))
% 92.26/92.09 [10067]E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100671,x100672),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x100671),x100672))
% 92.26/92.09 [10068]E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100681,x100682),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100682),x100681))
% 92.26/92.09 [10069]E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100691,x100692),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100692),x100691))
% 92.26/92.09 [10070]E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100701,x100702),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100702),x100701))
% 92.26/92.09 [10071]E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100711,x100712),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100712),x100711))
% 92.26/92.09 [10072]E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100721,x100722),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100722),x100721))
% 92.26/92.09 [10073]E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x100731,x100732),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x100732),x100731))
% 92.26/92.09 [10116]E(f41(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101161),x101161)),a87)),f317(f94(a1),f317(f317(f74(a1),x101162),x101162))),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a1,f317(f94(a1),x101161),f317(f94(a1),x101162)))),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101162)))
% 92.26/92.09 [10125]E(f41(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101251),x101251)),a87)),f317(f94(a1),f317(f317(f74(a1),x101252),x101252))),f317(f317(f23(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a1,f317(f317(f74(a1),f317(f94(a1),x101251)),f72(a1)),f317(f94(a1),x101252)))),f72(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101252)))
% 92.26/92.09 [10180]~P5(x101801)+E(f32(x101801,f317(f252(x101801),f317(f317(f8(f904(x101801,a893),a893,x101801),f82(x101801)),f317(f317(f8(f904(x101801,a893),f904(x101801,a893),x101801),f317(f18(x101801,a893,a893),f317(f317(f8(a893,f904(a893,a893),x101801),a320),f317(f317(f7(x101801,f904(x101801,a893),a893),f319(x101801)),x101802)))),f224(x101801))))),f33(x101801,x101802))
% 92.26/92.09 [10204]~P36(x102041,x102042)+P59(x102041,f317(f317(f7(x102041,f904(f903(x102041,x102041),a893),f904(x102041,a893)),f317(f317(f8(f904(x102041,f904(f904(f903(x102041,x102041),a893),a893)),f904(f904(f903(x102041,x102041),a893),f904(x102041,a893)),x102041),f7(x102041,f904(f903(x102041,x102041),a893),a893)),f317(f317(f8(f904(x102041,f903(x102041,x102041)),f904(x102041,f904(f904(f903(x102041,x102041),a893),a893)),x102041),f317(f8(f903(x102041,x102041),f904(f904(f903(x102041,x102041),a893),a893),x102041),f319(f903(x102041,x102041)))),f242(x102041,x102041)))),x102042))
% 92.26/92.09 [10205]~P8(x102051,f232(f904(x102051,a893)),x102052)+P7(x102051,f317(f317(f7(x102051,f904(f903(x102051,x102051),a893),f904(x102051,a893)),f317(f317(f8(f904(x102051,f904(f904(f903(x102051,x102051),a893),a893)),f904(f904(f903(x102051,x102051),a893),f904(x102051,a893)),x102051),f7(x102051,f904(f903(x102051,x102051),a893),a893)),f317(f317(f8(f904(x102051,f903(x102051,x102051)),f904(x102051,f904(f904(f903(x102051,x102051),a893),a893)),x102051),f317(f8(f903(x102051,x102051),f904(f904(f903(x102051,x102051),a893),a893),x102051),f319(f903(x102051,x102051)))),f242(x102051,x102051)))),x102052))
% 92.26/92.09 [10248]P36(x102481,x102482)+~P59(x102481,f317(f317(f7(x102481,f904(f903(x102481,x102481),a893),f904(x102481,a893)),f317(f317(f8(f904(x102481,f904(f904(f903(x102481,x102481),a893),a893)),f904(f904(f903(x102481,x102481),a893),f904(x102481,a893)),x102481),f7(x102481,f904(f903(x102481,x102481),a893),a893)),f317(f317(f8(f904(x102481,f903(x102481,x102481)),f904(x102481,f904(f904(f903(x102481,x102481),a893),a893)),x102481),f317(f8(f903(x102481,x102481),f904(f904(f903(x102481,x102481),a893),a893),x102481),f319(f903(x102481,x102481)))),f242(x102481,x102481)))),x102482))
% 92.26/92.09 [10249]P8(x102491,f232(f904(x102491,a893)),x102492)+~P7(x102491,f317(f317(f7(x102491,f904(f903(x102491,x102491),a893),f904(x102491,a893)),f317(f317(f8(f904(x102491,f904(f904(f903(x102491,x102491),a893),a893)),f904(f904(f903(x102491,x102491),a893),f904(x102491,a893)),x102491),f7(x102491,f904(f903(x102491,x102491),a893),a893)),f317(f317(f8(f904(x102491,f903(x102491,x102491)),f904(x102491,f904(f904(f903(x102491,x102491),a893),a893)),x102491),f317(f8(f903(x102491,x102491),f904(f904(f903(x102491,x102491),a893),a893),x102491),f319(f903(x102491,x102491)))),f242(x102491,x102491)))),x102492))
% 92.26/92.09 [7384]E(f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),x73841),a87))),x73842),f317(a102,f317(f317(f74(a897),f317(f94(a897),x73841)),x73842)))+P1(f317(a183,f317(f94(a1),x73841)))
% 92.26/92.09 [7827]~P94(x78271)+E(f317(f317(f74(x78271),f317(f317(f74(x78271),f72(x78271)),f317(f94(x78271),x78272))),f317(f94(x78271),x78272)),f317(f94(x78271),f317(f317(f23(a1),f317(f317(f74(a1),x78272),x78272)),a87)))
% 92.26/92.09 [8470]~P1(f317(f317(f224(a1),x84701),x84702))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x84701),x84701)),f317(f317(f23(a1),f317(f317(f74(a1),x84702),x84702)),a87)))
% 92.26/92.09 [8471]~P1(f317(f317(f224(a1),x84711),x84712))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x84711),x84711)),f317(f317(f23(a1),f317(f317(f74(a1),x84712),x84712)),a87)))
% 92.26/92.09 [8472]~P1(f317(f317(f224(a1),x84721),x84722))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x84721),x84721)),f317(f317(f23(a1),f317(f317(f74(a1),x84722),x84722)),a87)))
% 92.26/92.09 [8473]~P1(f317(f317(f224(a1),x84731),x84732))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x84731),x84731)),f317(f317(f23(a1),f317(f317(f74(a1),x84732),x84732)),a87)))
% 92.26/92.09 [8900]P1(f317(f317(f224(a1),x89001),x89002))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x89001),x89001)),f317(f317(f23(a1),f317(f317(f74(a1),x89002),x89002)),a87)))
% 92.26/92.09 [8901]P1(f317(f317(f224(a1),x89011),x89012))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x89011),x89011)),f317(f317(f23(a1),f317(f317(f74(a1),x89012),x89012)),a87)))
% 92.26/92.09 [8902]P1(f317(f317(f224(a1),x89021),x89022))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x89021),x89021)),f317(f317(f23(a1),f317(f317(f74(a1),x89022),x89022)),a87)))
% 92.26/92.09 [8903]P1(f317(f317(f224(a1),x89031),x89032))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x89031),x89031)),f317(f317(f23(a1),f317(f317(f74(a1),x89032),x89032)),a87)))
% 92.26/92.09 [9192]~P1(f317(f317(f224(a1),x91921),x91922))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91921),x91921)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91922),x91922)),a87)))
% 92.26/92.09 [9193]~P1(f317(f317(f224(a1),x91931),x91932))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91931),x91931)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91932),x91932)),a87)))
% 92.26/92.09 [9194]~P1(f317(f317(f225(a1),x91941),x91942))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91941),x91941)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91942),x91942)),a87)))
% 92.29/92.09 [9195]~P1(f317(f317(f225(a1),x91951),x91952))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91951),x91951)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91952),x91952)),a87)))
% 92.29/92.09 [9466]P1(f317(f317(f224(a1),x94661),x94662))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94661),x94661)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94662),x94662)),a87)))
% 92.29/92.09 [9467]P1(f317(f317(f224(a1),x94671),x94672))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94671),x94671)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94672),x94672)),a87)))
% 92.29/92.09 [9468]P1(f317(f317(f225(a1),x94681),x94682))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94681),x94681)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94682),x94682)),a87)))
% 92.29/92.09 [9469]P1(f317(f317(f225(a1),x94691),x94692))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94691),x94691)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94692),x94692)),a87)))
% 92.29/92.09 [9502]~P1(f317(f29(x95021),x95022))+P1(f317(f29(f904(x95021,a893)),f317(f252(f904(x95021,a893)),f317(f317(f7(f904(x95021,a893),f904(x95021,a893),a893),f224(f904(x95021,a893))),x95022))))
% 92.29/92.09 [9554]~E(f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),x95541),f178(f904(f903(a897,a897),a893)))),f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),x95542),f178(f904(f903(a897,a897),a893)))))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x95541),x95542)),a99))
% 92.29/92.09 [9648]E(f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),x96481),f178(f904(f903(a897,a897),a893)))),f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),x96482),f178(f904(f903(a897,a897),a893)))))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x96481),x96482)),a99))
% 92.29/92.09 [9684]P1(f317(f317(f224(a1),f2(a1)),f615(x96841,x96842)))+E(f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96841)),f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96842)))
% 92.29/92.09 [10188]~P5(x101881)+E(f33(x101881,f317(f252(x101881),f317(f317(f8(f904(x101881,a893),a893,x101881),f82(x101881)),f317(f317(f8(f904(x101881,a893),f904(x101881,a893),x101881),f317(f18(x101881,a893,a893),f317(f317(f8(a893,f904(a893,a893),x101881),a320),f317(f317(f7(x101881,f904(x101881,a893),a893),f319(x101881)),x101882)))),f317(f7(x101881,x101881,a893),f224(x101881)))))),f32(x101881,x101882))
% 92.29/92.09 [10210]P1(f317(f317(f319(a897),f2(a897)),x102101))+E(f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),a897),f319(a897)),a102)),x102101))),f317(f317(f7(a897,a897,a893),f225(a897)),x102102)))),f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,f904(a897,a893),a893),f319(a897)),x102101))),f317(f317(f7(a897,a897,a893),f225(a897)),f317(a102,x102102))))))
% 92.29/92.09 [10268]P1(f317(f317(f277(a897),x102681),x102682))+~P1(f317(f317(f319(a897),x102682),f285(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102681)))
% 92.29/92.09 [10269]P1(f317(f317(f277(a897),x102691),x102692))+~P1(f317(f317(f319(a897),x102691),f288(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102692)))
% 92.29/92.09 [10270]~P1(f317(f317(f277(a897),x102701),x102702))+~P1(f317(f317(f319(a897),x102702),f288(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102701)))
% 92.29/92.09 [10271]~P1(f317(f317(f277(a897),x102711),x102712))+~P1(f317(f317(f319(a897),x102711),f285(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102712)))
% 92.29/92.09 [7694]~P94(x76941)+E(f317(f317(f75(x76941),x76942),f317(f94(x76941),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x76942)
% 92.29/92.09 [7958]~P94(x79581)+E(f317(f317(f74(x79581),f317(f94(x79581),x79582)),f72(x79581)),f317(f94(x79581),f317(f317(f74(a1),x79582),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 92.29/92.09 [8102]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81022)))+E(f317(f317(f234(a1),x81021),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x81022),x81022)),a87))),f72(a1))
% 92.29/92.09 [9529]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95292)))+E(f317(f317(f234(a1),x95291),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x95292),x95292)),a87))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x95291),f317(f94(a897),x95292))),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f904(a1,a1),a1),f75(a1)),f317(f75(a1),x95291))),f5(a1))))
% 92.29/92.09 [9905]~P1(f317(f317(f224(a897),f626(x99052,x99051)),f317(x99051,f626(x99052,x99051))))+P1(f317(f29(a897),f317(f252(a897),f317(f317(f7(a897,a897,a893),f317(f317(f8(a897,f904(a897,a893),a897),f224(a897)),x99051)),x99052))))
% 92.29/92.09 [10040]~P1(f317(f317(f224(a897),f317(f94(a897),x100401)),f317(a102,x100402)))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x100401),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),f224(a897)),a95)),x100402))))
% 92.29/92.09 [10041]~P1(f317(f317(f225(a897),f317(f94(a897),x100411)),f317(a102,x100412)))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x100411),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),f225(a897)),a95)),x100412))))
% 92.29/92.09 [10100]P1(f317(f317(f224(a897),f317(f94(a897),x101001)),f317(a102,x101002)))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101001),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),f224(a897)),a95)),x101002))))
% 92.29/92.09 [10101]P1(f317(f317(f225(a897),f317(f94(a897),x101011)),f317(a102,x101012)))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101011),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),f225(a897)),a95)),x101012))))
% 92.29/92.09 [10131]~P1(f317(f317(f224(a897),f317(a102,x101312)),f317(f94(a897),x101311)))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101311),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f8(a897,a893,a1),f317(f224(a897),x101312)),a95)))))
% 92.29/92.09 [10132]~P1(f317(f317(f225(a897),f317(a102,x101322)),f317(f94(a897),x101321)))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101321),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f8(a897,a893,a1),f317(f225(a897),x101322)),a95)))))
% 92.29/92.09 [10178]P1(f317(f317(f224(a897),f317(a102,x101781)),f317(f94(a897),x101782)))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101782),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f8(a897,a893,a1),f317(f224(a897),x101781)),a95)))))
% 92.29/92.09 [10179]P1(f317(f317(f225(a897),f317(a102,x101791)),f317(f94(a897),x101792)))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101792),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f8(a897,a893,a1),f317(f225(a897),x101791)),a95)))))
% 92.29/92.09 [10258]~P1(f317(f317(f319(a897),f2(a897)),x102581))+E(f317(a102,f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,f904(a897,a893),a893),f317(f317(f8(a897,f904(f904(a897,a893),a893),a897),f319(a897)),a102)),x102581))),f317(f317(f7(a897,a897,a893),f225(a897)),x102582))))),f317(f30(a897),f317(f252(a897),f317(f317(f18(a897,a893,a893),f317(f317(f8(a893,f904(a893,a893),a897),a315),f317(f317(f7(a897,f904(a897,a893),a893),f319(a897)),x102581))),f317(f317(f7(a897,a897,a893),f225(a897)),f317(a102,x102582))))))
% 92.29/92.09 [8643]~P94(x86431)+E(f317(f317(f75(x86431),f317(f94(x86431),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x86432),x86432)
% 92.29/92.09 [8704]~P94(x87041)+E(f317(f317(f74(x87041),f72(x87041)),f317(f94(x87041),x87042)),f317(f94(x87041),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x87042)))
% 92.29/92.09 [8766]~P94(x87661)+E(f317(f317(f23(x87661),f317(f94(x87661),x87662)),f72(x87661)),f317(f94(x87661),f317(f317(f74(a1),x87662),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [8920]~P1(f317(f317(f225(a897),f317(f94(a897),a77)),x89202))+E(f317(f317(f23(a897),x89201),f317(f317(f23(a897),x89202),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f23(a897),f317(a102,x89201)),x89202))
% 92.29/92.09 [9572]~P119(x95721)+E(f317(f317(f75(x95721),x95722),x95722),f317(f317(f234(x95721),x95722),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [9573]~P81(x95731)+E(f317(f317(f234(x95731),x95732),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f75(x95731),x95732),x95732))
% 92.29/92.09 [9575]~P94(x95751)+E(f317(f317(f75(x95751),x95752),f317(f94(x95751),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(x95751),x95752),x95752))
% 92.29/92.09 [9823]~P140(x98231)+E(f317(f317(f234(x98231),f317(f73(x98231),x98232)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98231),x98232),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [9824]~P126(x98241)+E(f317(f317(f234(x98241),f317(f70(x98241),x98242)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98241),x98242),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [9820]~P94(x98201)+E(f317(f317(f75(x98201),f317(f94(x98201),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x98202),f317(f317(f74(x98201),x98202),x98202))
% 92.29/92.09 [9938]~P126(x99381)+E(f317(f70(x99381),f317(f317(f234(x99381),x99382),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x99381),x99382),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [10002]~P126(x100021)+P1(f317(f317(f224(x100021),f2(x100021)),f317(f317(f234(x100021),x100022),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.09 [10169]~E(f317(a102,x101692),f317(f94(a897),x101691))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101691),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),a314),a95)),x101692)))))
% 92.29/92.09 [10170]~E(f317(f94(a897),x101701),f317(a102,x101702))+P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x101701),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),a314),a95)),x101702)))))
% 92.29/92.09 [10213]E(f317(a102,x102131),f317(f94(a897),x102132))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x102132),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),a314),a95)),x102131)))))
% 92.29/92.09 [10214]E(f317(f94(a897),x102141),f317(a102,x102142))+~P1(f317(f317(f80(a1,a893),f317(f94(a1),f317(f317(f74(a1),x102141),a87))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a320),f317(f317(f8(a893,a893,a1),a312),a183))),f317(f317(f7(a1,a897,a893),f317(f317(f8(a897,f904(a897,a893),a1),a314),a95)),x102142)))))
% 92.29/92.09 [10259]~P15(x102591,x102592)+P1(f317(f317(f319(f904(x102591,a893)),f790(x102592,x102591)),f317(f317(f8(f904(x102591,a893),a893,f904(x102591,a893)),f81(x102591)),f317(f317(f8(f904(x102591,a893),f904(x102591,a893),f904(x102591,a893)),f317(f18(x102591,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102591),a315),f317(f317(f18(x102591,x102591,a893),x102592),f5(x102591))))),f317(f317(f7(f904(x102591,a893),f904(x102591,f904(x102591,a893)),f904(x102591,a893)),f317(f317(f8(f904(f904(x102591,a893),a893),f904(f904(x102591,f904(x102591,a893)),f904(x102591,a893)),f904(x102591,a893)),f8(f904(x102591,a893),a893,x102591)),a314)),x102592)))))
% 92.29/92.09 [10000]~P94(x100001)+E(f317(f317(f234(x100001),f317(f94(x100001),a87)),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100002)),f72(x100001))
% 92.29/92.09 [10001]~P140(x100011)+E(f317(f317(f234(x100011),f317(f73(x100011),f72(x100011))),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100012)),f72(x100011))
% 92.29/92.09 [10004]~P81(x100041)+E(f317(f317(f234(x100041),x100042),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f317(f75(x100041),f317(f317(f75(x100041),x100042),x100042)),x100042))
% 92.29/92.09 [10193]~P1(f317(f317(f224(a1),f2(a1)),x101932))+E(f41(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101931)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101932)),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a1,x101931,x101932))))
% 92.29/92.09 [10216]~P1(f317(f317(f224(a1),f2(a1)),x102162))+E(f317(f317(f31(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102161))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102162)),f317(f317(f31(a1),x102161),x102162))
% 92.29/92.09 [10218]~P1(f317(f317(f224(a1),x102182),f2(a1)))+E(f317(f317(f31(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102181))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102182)),f317(f317(f31(a1),f317(f317(f74(a1),x102181),f72(a1))),x102182))
% 92.29/92.09 [10219]~P1(f317(f317(f224(a1),x102192),f2(a1)))+E(f41(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102191)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102192)),f317(f317(f23(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f41(a1,f317(f317(f74(a1),x102191),f72(a1)),x102192))),f72(a1)))
% 92.29/92.09 [10091]~P94(x100911)+E(f317(f317(f234(x100911),f317(f94(x100911),a87)),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100912))),f317(f94(x100911),a87))
% 92.29/92.09 [10093]~P140(x100931)+E(f317(f317(f234(x100931),f317(f73(x100931),f72(x100931))),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100932))),f317(f73(x100931),f72(x100931)))
% 92.29/92.09 [5008]P37(x50081,x50082)+~P8(x50081,x50083,x50082)
% 92.29/92.09 [5009]P37(x50091,x50092)+~P8(x50091,x50093,x50092)
% 92.29/92.09 [5010]P51(x50101,x50102)+~P8(x50101,x50103,x50102)
% 92.29/92.09 [5011]P51(x50111,x50112)+~P8(x50111,x50113,x50112)
% 92.29/92.09 [5183]~P8(x51831,x51832,x51833)+P52(x51831,x51832,x51833)
% 92.29/92.09 [5184]~P8(x51841,x51842,x51843)+P52(x51841,x51842,x51843)
% 92.29/92.09 [8168]~E(x81682,x81683)+P33(x81681,x81681,a314,x81682,x81683)
% 92.29/92.09 [8717]E(x87171,x87172)+~P33(x87173,x87173,a314,x87171,x87172)
% 92.29/92.09 [4812]E(f159(x48121,x48122,x48123),f103(x48121))+~E(x48122,f2(a897))
% 92.29/92.09 [4813]E(f159(x48131,x48132,x48133),f103(x48131))+~E(x48132,f2(a897))
% 92.29/92.09 [4980]~E(f159(x49802,x49801,x49803),f103(x49802))+E(x49801,f2(a897))
% 92.29/92.09 [4981]~E(f159(x49812,x49811,x49813),f103(x49812))+E(x49811,f2(a897))
% 92.29/92.09 [5189]~P36(x51891,x51893)+P36(x51891,f311(x51891,x51892,x51893))
% 92.29/92.09 [5298]~P28(x52981,x52982,x52983)+P30(a1,x52981,f168(x52982,x52983))
% 92.29/92.09 [5366]P28(x53661,x53662,x53663)+~P30(a1,x53661,f168(x53662,x53663))
% 92.29/92.09 [5438]~P8(x54381,x54382,x54383)+P8(f898(x54381),f151(x54381,x54382),f148(x54381,x54383))
% 92.29/92.09 [5439]~P52(x54391,x54392,x54393)+P52(f898(x54391),f151(x54391,x54392),f148(x54391,x54393))
% 92.29/92.09 [5552]P54(x55521,x55522,x55523)+~E(f563(x55523,x55522,x55521),f564(x55523,x55522,x55521))
% 92.29/92.09 [5553]P55(x55531,x55532,x55533)+~E(f586(x55533,x55532,x55531),f587(x55533,x55532,x55531))
% 92.29/92.09 [8174]~E(x81742,x81743)+P25(x81741,x81741,f25(x81741),x81742,x81743)
% 92.29/92.09 [8725]E(x87251,x87252)+~P25(x87253,x87253,f25(x87253),x87251,x87252)
% 92.29/92.09 [4768]~E(f317(f158(x47682),x47681),x47683)+E(x47681,f317(f158(x47682),x47683))
% 92.29/92.09 [4769]~E(x47692,f317(f158(x47691),x47693))+E(f317(f158(x47691),x47692),x47693)
% 92.29/92.09 [4819]E(x48191,x48192)+~E(f317(f158(x48193),x48191),f317(f158(x48193),x48192))
% 92.29/92.09 [5035]~P7(x50353,x50351)+P1(f317(f317(x50351,x50352),x50352))
% 92.29/92.09 [5036]~P42(x50363,x50361)+P1(f317(f317(x50361,x50362),x50362))
% 92.29/92.09 [5037]~P59(x50371,x50372)+P1(f317(f305(x50371,x50372),x50373))
% 92.29/92.09 [5038]~P59(x50381,x50382)+P1(f317(f305(x50381,x50382),x50383))
% 92.29/92.09 [5104]~P36(x51041,x51042)+P36(f898(x51041),f317(f133(x51041,x51042),x51043))
% 92.29/92.09 [5109]~P1(f317(x51092,x51093))+~E(f317(f252(x51091),x51092),f178(f904(x51091,a893)))
% 92.29/92.09 [5110]~P1(f317(x51102,x51103))+~E(f178(f904(x51101,a893)),f317(f252(x51101),x51102))
% 92.29/92.09 [5122]E(x51221,f2(a897))+E(f134(x51222,f159(x51222,x51221,x51223)),x51223)
% 92.29/92.09 [5138]~P1(f317(x51381,x51383))+P1(f317(x51381,f84(x51382,x51381)))
% 92.29/92.09 [5139]~P1(f317(x51391,x51393))+P1(f317(x51391,f84(x51392,x51391)))
% 92.29/92.09 [5140]~P1(f317(x51401,x51403))+P1(f317(x51401,f84(x51402,x51401)))
% 92.29/92.09 [5141]~P1(f317(x51411,x51413))+P1(f317(x51411,f84(x51412,x51411)))
% 92.29/92.09 [5142]~P1(f317(x51421,x51423))+P1(f317(x51421,f715(x51421,x51422)))
% 92.29/92.09 [5154]E(x51541,f2(a897))+E(f317(f131(x51542),f159(x51542,x51541,x51543)),x51543)
% 92.29/92.09 [5260]~E(x52602,x52603)+P1(f317(f317(f319(x52601),x52602),f317(a314,x52603)))
% 92.29/92.09 [5275]~E(x52752,f2(a897))+E(f317(f162(x52751),f159(x52751,x52752,x52753)),f178(f904(x52751,a893)))
% 92.29/92.09 [5320]E(f317(f158(x53201),x53202),f317(f317(f141(x53201),x53203),f103(x53201)))+~E(x53202,f317(f317(f141(x53201),x53203),f103(x53201)))
% 92.29/92.09 [5321]~E(x53213,f317(f317(f141(x53211),x53212),f103(x53211)))+E(f317(f317(f141(x53211),x53212),f103(x53211)),f317(f158(x53211),x53213))
% 92.29/92.09 [5362]~P32(x53621,x53622,x53623)+P32(x53621,x53622,f317(f158(x53621),x53623))
% 92.29/92.09 [5363]~P30(x53631,x53632,x53633)+P30(x53631,x53632,f317(f158(x53631),x53633))
% 92.29/92.09 [5367]E(f317(f30(x53671),f562(x53672,x53673,x53671)),x53672)+~E(f317(f30(x53671),x53673),f317(a102,x53672))
% 92.29/92.09 [5373]~P36(x53731,x53733)+P1(f317(f317(f319(x53731),x53732),f306(x53731,x53733)))
% 92.29/92.09 [5374]~P36(x53741,x53743)+P1(f317(f317(f319(x53741),x53742),f306(x53741,x53743)))
% 92.29/92.09 [5378]~E(f317(f158(x53782),x53781),f317(f317(f141(x53782),x53783),f103(x53782)))+E(x53781,f317(f317(f141(x53782),x53783),f103(x53782)))
% 92.29/92.09 [5379]~E(f317(f317(f141(x53792),x53793),f103(x53792)),f317(f158(x53792),x53791))+E(x53791,f317(f317(f141(x53792),x53793),f103(x53792)))
% 92.29/92.09 [5403]E(f79(f903(a897,a897),f44(x54031,x54032)),x54033)+~P1(f317(f44(x54031,x54032),x54033))
% 92.29/92.09 [5442]P32(x54421,x54422,x54423)+~P32(x54421,x54422,f317(f158(x54421),x54423))
% 92.29/92.09 [5443]P30(x54431,x54432,x54433)+~P30(x54431,x54432,f317(f158(x54431),x54433))
% 92.29/92.09 [5482]P1(f317(f317(x54821,x54822),x54822))+~P1(f317(f260(x54823,x54821),x54822))
% 92.29/92.09 [5483]~P1(f317(f317(x54832,x54833),x54833))+P1(f317(f260(x54831,x54832),x54833))
% 92.29/92.09 [5505]~E(x55052,f103(x55051))+P1(f317(f317(f319(f898(x55051)),x55052),f151(x55051,x55053)))
% 92.29/92.09 [5515]~P52(x55151,x55152,x55153)+P52(x55151,x55152,f317(f276(x55151,x55151),x55153))
% 92.29/92.09 [5516]~P55(x55161,x55162,x55163)+P55(x55161,x55162,f317(f276(x55161,x55161),x55163))
% 92.29/92.09 [5533]~P3(x55331)+E(f41(x55331,f41(x55331,x55332,x55333),x55333),f41(x55331,x55332,x55333))
% 92.29/92.09 [5635]E(x56351,x56352)+~P1(f317(f317(f319(x56353),x56351),f317(a314,x56352)))
% 92.29/92.09 [5682]~P144(x56821)+E(f180(x56821,x56822,f2(a897),x56823),x56823)
% 92.29/92.09 [5704]P52(x57041,x57042,x57043)+~P52(x57041,x57042,f317(f276(x57041,x57041),x57043))
% 92.29/92.09 [5705]P55(x57051,x57052,x57053)+~P55(x57051,x57052,f317(f276(x57051,x57051),x57053))
% 92.29/92.09 [5709]~P107(x57092)+E(f140(x57091,x57092,x57093,f103(x57091)),f103(x57091))
% 92.29/92.09 [5721]E(f160(x57211,x57212,f142(x57211,x57213)),f142(x57211,f160(x57211,x57212,x57213)))+~P1(f317(f127(x57211),x57213))
% 92.29/92.09 [5820]~P1(f317(f317(x58203,x58202),x58202))+P1(f317(f317(f319(x58201),x58202),f260(x58201,x58203)))
% 92.29/92.09 [5822]E(f317(f126(x58221,x58222),x58223),f103(x58221))+P1(f317(x58222,f655(x58223,x58222,x58221)))
% 92.29/92.09 [5890]E(f63(x58901,x58902,x58903),x58902)+P1(f317(x58903,f716(x58902,x58901,x58903)))
% 92.29/92.09 [5986]~P1(f317(f127(x59861),x59862))+P1(f317(f127(x59861),f166(x59861,x59862,x59863)))
% 92.29/92.09 [5987]~P1(f317(f127(x59871),x59873))+P1(f317(f127(x59871),f160(x59871,x59872,x59873)))
% 92.29/92.09 [5988]~P1(f317(f127(x59881),x59883))+P1(f317(f127(x59881),f167(x59881,x59882,x59883)))
% 92.29/92.09 [5989]~P1(f317(f127(x59891),x59893))+P1(f317(f127(x59891),f130(x59891,x59892,x59893)))
% 92.29/92.09 [5990]~P147(x59901,x59903,x59902)+P1(f317(x59901,f41(a1,x59902,x59903)))
% 92.29/92.09 [6007]~P32(x60073,x60071,x60072)+P1(f317(x60071,f728(x60072,x60071,x60073)))
% 92.29/92.09 [6008]~P34(x60083,x60081,x60082)+P1(f317(x60081,f734(x60082,x60081,x60083)))
% 92.29/92.09 [6009]~P34(x60093,x60091,x60092)+P1(f317(x60091,f744(x60092,x60091,x60093)))
% 92.29/92.09 [6010]~P32(x60103,x60101,x60102)+P1(f317(x60101,f772(x60101,x60102,x60103)))
% 92.29/92.09 [6011]~P32(x60113,x60111,x60112)+P1(f317(x60111,f774(x60112,x60111,x60113)))
% 92.29/92.09 [6016]P1(f317(f317(x60161,x60162),x60162))+~P1(f317(f317(f319(x60163),x60162),f260(x60163,x60161)))
% 92.29/92.09 [6031]E(f317(f126(x60311,x60312),x60313),f167(x60311,x60312,x60313))+P1(f317(x60312,f700(x60313,x60312,x60311)))
% 92.29/92.09 [6071]~P1(f317(f127(x60711),x60713))+P1(f317(f127(f898(x60711)),f51(x60711,x60712,x60713)))
% 92.29/92.09 [6107]~P108(x61071)+E(f317(f317(f92(f904(x61071,a893)),f317(f272(x61071),x61072)),f293(x61071,x61072,x61073)),f178(f904(x61071,a893)))
% 92.29/92.09 [6108]~P108(x61081)+E(f317(f317(f92(f904(x61081,a893)),f317(f291(x61081),x61082)),f296(x61081,x61082,x61083)),f178(f904(x61081,a893)))
% 92.29/92.09 [6109]~P108(x61091)+E(f317(f317(f92(f904(x61091,a893)),f317(f291(x61091),x61092)),f295(x61091,x61092,x61093)),f178(f904(x61091,a893)))
% 92.29/92.09 [6345]E(f317(f126(x63451,x63452),x63453),x63453)+~P1(f317(x63452,f656(x63453,x63452,x63451)))
% 92.29/92.09 [6347]E(f317(f317(f299(x63471),f602(x63472,x63473,x63471)),f562(x63472,x63473,x63471)),x63473)+~E(f317(f30(x63471),x63473),f317(a102,x63472))
% 92.29/92.09 [6363]P147(x63631,x63632,x63633)+~P1(f317(x63631,f41(a1,x63633,x63632)))
% 92.29/92.09 [6416]P30(x64161,x64162,x64163)+~P1(f317(x64162,f735(x64163,x64162,x64161)))
% 92.29/92.09 [6417]P30(x64171,x64172,x64173)+~P1(f317(x64172,f742(x64172,x64173,x64171)))
% 92.29/92.09 [6418]P30(x64181,x64182,x64183)+~P1(f317(x64182,f743(x64183,x64182,x64181)))
% 92.29/92.09 [6419]P28(x64191,x64192,x64193)+~P1(f317(x64191,f761(x64193,x64192,x64191)))
% 92.29/92.09 [6420]P29(x64201,x64202,x64203)+~P1(f317(x64201,f833(x64203,x64202,x64201)))
% 92.29/92.09 [6422]E(f167(x64221,x64222,x64223),x64223)+~P1(f317(x64222,f695(x64223,x64222,x64221)))
% 92.29/92.09 [6503]~P1(f317(x65032,f545(x65033,x65032,x65031)))+P1(f317(f238(x65031,x65032),x65033))
% 92.29/92.09 [6504]~P1(f317(x65042,f657(x65043,x65042,x65041)))+P1(f317(f150(x65041,x65042),x65043))
% 92.29/92.09 [6760]~P1(f317(f305(x67601,x67602),f875(x67603,x67602,x67601)))+P1(f317(f305(x67601,x67602),x67603))
% 92.29/92.09 [6761]~P1(f317(f305(x67611,x67612),f883(x67613,x67612,x67611)))+P1(f317(f305(x67611,x67612),x67613))
% 92.29/92.09 [7385]~P3(x73851)+E(f317(f317(f74(x73851),f317(f317(f75(x73851),x73852),f317(f317(f31(x73851),x73853),x73852))),f41(x73851,x73853,x73852)),x73853)
% 92.29/92.09 [7415]P28(x74151,x74152,x74153)+P1(f317(f317(f319(a1),f761(x74153,x74152,x74151)),f293(a1,x74152,x74153)))
% 92.29/92.09 [7848]E(f317(f317(f242(x78481,x78481),f423(x78482,x78483,x78481)),f423(x78482,x78483,x78481)),x78483)+~P1(f317(f317(f319(f903(x78481,x78481)),x78483),f253(x78481,x78482)))
% 92.29/92.09 [7966]~P1(f317(f317(f319(x79661),f457(x79663,x79662,x79661)),f306(x79661,x79663)))+P1(f317(f317(f319(x79661),x79662),f306(x79661,x79663)))
% 92.29/92.09 [7967]~P1(f317(f317(f319(x79671),f567(x79673,x79672,x79671)),f306(x79671,x79673)))+P1(f317(f317(f319(x79671),x79672),f306(x79671,x79673)))
% 92.29/92.09 [7968]~P1(f317(f317(f319(x79681),f569(x79683,x79682,x79681)),f306(x79681,x79683)))+P1(f317(f317(f319(x79681),x79682),f306(x79681,x79683)))
% 92.29/92.09 [8061]P32(a1,x80611,f168(x80612,x80613))+P28(f317(f67(a893,a893,a1,a312),x80611),x80612,x80613)
% 92.29/92.09 [8148]~P3(x81481)+E(f317(f317(f74(x81481),f317(f317(f75(x81481),f317(f317(f31(x81481),x81482),x81483)),x81483)),f41(x81481,x81482,x81483)),x81482)
% 92.29/92.09 [8149]~P3(x81491)+E(f317(f317(f74(x81491),f317(f317(f75(x81491),f317(f317(f31(x81491),x81492),x81493)),x81493)),f41(x81491,x81492,x81493)),x81492)
% 92.29/92.09 [8195]~E(f317(f30(x81951),x81952),f317(a102,x81953))+~P1(f317(f317(f319(x81951),f602(x81953,x81952,x81951)),f562(x81953,x81952,x81951)))
% 92.29/92.09 [8635]~P32(a1,x86351,f168(x86352,x86353))+~P28(f317(f67(a893,a893,a1,a312),x86351),x86352,x86353)
% 92.29/92.09 [8822]P1(f317(f317(f224(f904(f903(x88221,x88221),a893)),f297(x88221,x88222)),f297(x88221,x88223)))+~P1(f317(f317(f224(f904(f903(x88221,x88221),a893)),x88222),f297(x88221,x88223)))
% 92.29/92.09 [8958]~P25(x89581,x89582,x89583,f232(f904(x89581,a893)),f232(f904(x89582,a893)))+P24(x89581,x89582,x89583,f232(f904(x89581,a893)))
% 92.29/92.09 [8959]~P25(x89591,x89592,x89593,f232(f904(x89591,a893)),f232(f904(x89592,a893)))+P24(x89591,x89592,x89593,f232(f904(x89591,a893)))
% 92.29/92.09 [9102]E(x91021,f103(x91022))+~P1(f317(f317(f319(f903(f898(x91022),f898(x91022))),f317(f317(f242(f898(x91022),f898(x91022)),x91021),f103(x91022))),f148(x91022,x91023)))
% 92.29/92.09 [9127]E(x91271,f103(x91272))+~P1(f317(f317(f319(f903(f898(x91272),f898(x91272))),f317(f317(f242(f898(x91272),f898(x91272)),f103(x91272)),x91271)),f148(x91272,x91273)))
% 92.29/92.09 [9253]E(f317(f317(f141(x92531),f668(x92532,x92533,x92531)),f669(x92532,x92533,x92531)),x92533)+~P1(f317(f317(f319(f903(f898(x92531),f898(x92531))),f317(f317(f242(f898(x92531),f898(x92531)),f103(x92531)),x92533)),f137(x92531,x92532)))
% 92.29/92.09 [9495]~P125(x94951)+~P1(f317(f317(f225(x94951),f317(f317(f74(x94951),f317(f317(f75(x94951),x94952),x94952)),f317(f317(f75(x94951),x94953),x94953))),f2(x94951)))
% 92.29/92.09 [9546]P1(f317(f29(x95461),x95462))+~P1(f317(f317(f319(f903(f904(x95461,a893),f904(x95461,a893))),f317(f317(f242(f904(x95461,a893),f904(x95461,a893)),x95463),x95462)),f304(x95461)))
% 92.29/92.09 [9849]~P46(x98491,x98492,x98493)+P1(f317(f317(f224(a1),f317(f317(f67(f903(a1,a1),a1,x98491,f241(a1,a1)),f202(x98491)),f220(x98491,x98492,f217(x98491,x98493)))),f2(a1)))
% 92.29/92.09 [9850]~P47(x98501,x98502,x98503)+P1(f317(f317(f225(a1),f317(f317(f67(f903(a1,a1),a1,x98501,f241(a1,a1)),f202(x98501)),f220(x98501,x98502,f217(x98501,x98503)))),f2(a1)))
% 92.29/92.09 [9968]P47(x99681,x99682,x99683)+~P1(f317(f317(f225(a1),f317(f317(f67(f903(a1,a1),a1,x99681,f241(a1,a1)),f202(x99681)),f220(x99681,x99682,f217(x99681,x99683)))),f2(a1)))
% 92.29/92.09 [9969]P46(x99691,x99692,x99693)+~P1(f317(f317(f224(a1),f317(f317(f67(f903(a1,a1),a1,x99691,f241(a1,a1)),f202(x99691)),f220(x99691,x99692,f217(x99691,x99693)))),f2(a1)))
% 92.29/92.09 [10321]~P126(x103211)+~P1(f317(f317(f225(x103211),f317(f317(f74(x103211),f317(f317(f234(x103211),x103212),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103211),x103213),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103211)))
% 92.29/92.09 [4796]~E(x47963,f103(x47961))+E(f317(f317(f124(x47961),x47962),x47963),x47962)
% 92.29/92.09 [4797]~E(x47972,f103(x47971))+E(f317(f317(f124(x47971),x47972),x47973),x47973)
% 92.29/92.09 [4798]~E(x47983,f103(x47981))+E(f317(f317(f124(x47981),x47982),x47983),x47982)
% 92.29/92.09 [4799]~E(x47992,f103(x47991))+E(f317(f317(f124(x47991),x47992),x47993),x47993)
% 92.29/92.09 [4805]~E(x48052,f2(a897))+E(f317(f317(f165(x48051),x48052),x48053),f103(x48051))
% 92.29/92.09 [4814]~E(x48143,f103(x48141))+E(f317(f317(f165(x48141),x48142),x48143),f103(x48141))
% 92.29/92.09 [4853]~E(x48531,x48533)+E(x48531,f317(f317(f124(x48532),f103(x48532)),x48533))
% 92.29/92.09 [4943]~P66(x49432)+E(f317(f178(f904(x49431,x49432)),x49433),f178(x49432))
% 92.29/92.09 [4944]~P66(x49442)+E(f317(f178(f904(x49441,x49442)),x49443),f178(x49442))
% 92.29/92.09 [4945]~P115(x49452)+E(f317(f232(f904(x49451,x49452)),x49453),f232(x49452))
% 92.29/92.09 [4961]E(x49611,f103(x49612))+~E(f317(f317(f124(x49612),x49611),x49613),x49613)
% 92.29/92.09 [4962]E(x49621,f103(x49622))+~E(f317(f317(f124(x49622),x49623),x49621),x49623)
% 92.29/92.09 [4963]E(x49631,f103(x49632))+~E(f317(f317(f124(x49632),x49633),x49631),x49633)
% 92.29/92.09 [4964]E(x49641,f103(x49642))+~E(f317(f317(f124(x49642),x49641),x49643),x49643)
% 92.29/92.09 [4970]E(x49701,f103(x49702))+~E(f317(f317(f124(x49702),x49703),x49701),f103(x49702))
% 92.29/92.09 [4971]E(x49711,f103(x49712))+~E(f317(f317(f124(x49712),x49711),x49713),f103(x49712))
% 92.29/92.09 [4972]E(x49721,f103(x49722))+~E(f317(f317(f124(x49722),x49723),x49721),f103(x49722))
% 92.29/92.09 [4973]E(x49731,f103(x49732))+~E(f317(f317(f124(x49732),x49731),x49733),f103(x49732))
% 92.29/92.09 [5002]~E(x50022,f2(a897))+E(f317(f317(f75(a897),x50021),x50022),f317(f317(f75(a897),x50023),x50022))
% 92.29/92.09 [5003]~E(x50031,f2(a897))+E(f317(f317(f75(a897),x50031),x50032),f317(f317(f75(a897),x50031),x50033))
% 92.29/92.09 [5004]~E(x50041,f2(a897))+E(f317(f317(f75(a897),x50041),x50042),f317(f317(f75(a897),x50041),x50043))
% 92.29/92.09 [5062]~P119(x50621)+E(f317(f317(f74(x50621),x50622),x50623),f317(f317(f74(x50621),x50623),x50622))
% 92.29/92.09 [5063]~P119(x50631)+E(f317(f317(f75(x50631),x50632),x50633),f317(f317(f75(x50631),x50633),x50632))
% 92.29/92.09 [5064]~P107(x50641)+E(f317(f317(f228(x50641),x50642),x50643),f317(f317(f228(x50641),x50643),x50642))
% 92.29/92.09 [5065]~P107(x50651)+E(f317(f317(f228(x50651),x50652),x50653),f317(f317(f228(x50651),x50653),x50652))
% 92.29/92.09 [5066]~P107(x50661)+E(f317(f317(f223(x50661),x50662),x50663),f317(f317(f223(x50661),x50663),x50662))
% 92.29/92.09 [5067]~P107(x50671)+E(f317(f317(f223(x50671),x50672),x50673),f317(f317(f223(x50671),x50673),x50672))
% 92.29/92.09 [5068]~P98(x50681)+E(f317(f317(f91(x50681),x50682),x50683),f317(f317(f91(x50681),x50683),x50682))
% 92.29/92.09 [5069]~P98(x50691)+E(f317(f317(f91(x50691),x50692),x50693),f317(f317(f91(x50691),x50693),x50692))
% 92.29/92.09 [5070]~P99(x50701)+E(f317(f317(f91(x50701),x50702),x50703),f317(f317(f91(x50701),x50703),x50702))
% 92.29/92.09 [5071]~P99(x50711)+E(f317(f317(f92(x50711),x50712),x50713),f317(f317(f92(x50711),x50713),x50712))
% 92.29/92.09 [5072]~P104(x50721)+E(f317(f317(f92(x50721),x50722),x50723),f317(f317(f92(x50721),x50723),x50722))
% 92.29/92.09 [5073]~P104(x50731)+E(f317(f317(f92(x50731),x50732),x50733),f317(f317(f92(x50731),x50733),x50732))
% 92.29/92.09 [5136]E(f41(a897,x51361,x51362),f2(a897))+~E(x51361,f317(f317(f75(a897),x51362),x51363))
% 92.29/92.09 [5137]E(f41(a1,x51371,x51372),f2(a1))+~E(x51371,f317(f317(f75(a1),x51372),x51373))
% 92.29/92.09 [5201]E(x52011,x52012)+~E(f317(f317(f74(a897),x52013),x52011),f317(f317(f74(a897),x52013),x52012))
% 92.29/92.09 [5202]E(x52021,x52022)+~E(f317(f317(f74(a897),x52021),x52023),f317(f317(f74(a897),x52022),x52023))
% 92.29/92.09 [5212]~P68(x52121)+E(f317(f317(f74(x52121),x52122),f317(f73(x52121),x52123)),f317(f317(f23(x52121),x52122),x52123))
% 92.29/92.09 [5213]~P75(x52131)+E(f317(f317(f74(x52131),x52132),f317(f73(x52131),x52133)),f317(f317(f23(x52131),x52132),x52133))
% 92.29/92.09 [5214]~P117(x52141)+E(f317(f317(f74(x52141),x52142),f317(f73(x52141),x52143)),f317(f317(f23(x52141),x52142),x52143))
% 92.29/92.09 [5215]~P96(x52151)+E(f317(f317(f92(x52151),x52152),f317(f73(x52151),x52153)),f317(f317(f23(x52151),x52152),x52153))
% 92.29/92.09 [5216]~P75(x52161)+E(f317(f317(f23(x52161),x52162),f317(f73(x52161),x52163)),f317(f317(f74(x52161),x52162),x52163))
% 92.29/92.09 [5254]~P1(f317(x52543,x52542))+P1(f317(f317(f319(x52541),x52542),x52543))
% 92.29/92.09 [5255]~P76(x52552)+E(f317(f317(f9(x52551,x52552),x52553),f178(f904(x52551,a893))),f72(x52552))
% 92.29/92.09 [5256]~P76(x52562)+E(f317(f317(f9(x52561,x52562),x52563),f178(f904(x52561,a893))),f72(x52562))
% 92.29/92.09 [5257]~P77(x52572)+E(f317(f317(f6(x52571,x52572),x52573),f178(f904(x52571,a893))),f2(x52572))
% 92.29/92.09 [5258]~P77(x52582)+E(f317(f317(f6(x52581,x52582),x52583),f178(f904(x52581,a893))),f2(x52582))
% 92.29/92.09 [5310]~E(x53102,f317(f317(f74(a897),x53101),x53103))+P1(f317(f317(f224(a897),x53101),x53102))
% 92.29/92.09 [5313]~E(x53132,f178(f904(x53131,a893)))+E(f317(f317(f56(x53131),x53132),x53133),f178(f904(f904(x53131,a893),a893)))
% 92.29/92.09 [5314]~E(x53142,f178(f904(x53141,a893)))+E(f178(f904(f904(x53141,a893),a893)),f317(f317(f56(x53141),x53142),x53143))
% 92.29/92.09 [5383]~E(f317(f274(x53832,x53833),x53831),f178(f904(x53833,a893)))+E(x53831,f178(f904(f903(x53832,x53833),a893)))
% 92.29/92.09 [5384]~E(f317(f254(x53842,x53843),x53841),f178(f904(x53842,a893)))+E(x53841,f178(f904(f903(x53842,x53843),a893)))
% 92.29/92.09 [5416]E(f317(f274(x54161,x54162),x54163),f178(f904(x54162,a893)))+~E(x54163,f178(f904(f903(x54161,x54162),a893)))
% 92.29/92.09 [5417]E(f317(f254(x54171,x54172),x54173),f178(f904(x54171,a893)))+~E(x54173,f178(f904(f903(x54171,x54172),a893)))
% 92.29/92.09 [5420]E(f264(x54201,x54202,x54203),f317(f317(f23(a89),x54202),x54203))+P1(f317(f317(f225(a89),x54202),x54203))
% 92.29/92.09 [5436]P1(f317(x54361,x54362))+~P1(f317(f317(f319(x54363),x54362),x54361))
% 92.29/92.09 [5475]E(x54751,x54752)+~E(f317(f73(f904(x54753,a893)),x54751),f317(f73(f904(x54753,a893)),x54752))
% 92.29/92.09 [5484]~E(x54841,f178(f904(x54842,a893)))+~P1(f317(f317(f319(x54842),x54843),x54841))
% 92.29/92.09 [5485]~E(x54851,f178(f904(x54852,a893)))+~P1(f317(f317(f319(x54852),x54853),x54851))
% 92.29/92.09 [5486]~E(x54861,f178(f904(x54862,a893)))+~P1(f317(f317(f319(x54862),x54863),x54861))
% 92.29/92.09 [5517]~E(x55172,f317(f317(f74(a1),x55171),f317(f90(a1),x55173)))+P1(f317(f317(f224(a1),x55171),x55172))
% 92.29/92.09 [5531]E(f317(f317(f299(x55311),x55312),x55313),x55313)+~P1(f317(f317(f319(x55311),x55312),x55313))
% 92.29/92.09 [5542]E(x55421,f178(f904(x55422,a893)))+~E(f317(f317(f56(x55422),x55421),x55423),f178(f904(f904(x55422,a893),a893)))
% 92.29/92.09 [5543]E(x55431,f178(f904(x55432,a893)))+~E(f178(f904(f904(x55432,a893),a893)),f317(f317(f56(x55432),x55431),x55433))
% 92.29/92.09 [5549]~P139(x55491)+E(f317(f317(f75(x55491),f317(f73(x55491),x55492)),f317(f73(x55491),x55493)),f317(f317(f75(x55491),x55492),x55493))
% 92.29/92.09 [5551]~P61(x55511)+E(f317(f317(f281(x55511),f317(f73(x55511),x55512)),f317(f73(x55511),x55513)),f317(f317(f281(x55511),x55512),x55513))
% 92.29/92.09 [5581]~P1(f317(x55813,x55812))+P1(f317(f317(f319(x55811),x55812),f317(f252(x55811),x55813)))
% 92.29/92.09 [5582]~P1(f317(x55823,x55822))+P1(f317(f317(f319(x55821),x55822),f317(f252(x55821),x55823)))
% 92.29/92.09 [5608]E(x56081,f2(a897))+E(f317(f162(x56082),f159(x56082,x56081,x56083)),f317(f317(f299(x56082),x56083),f178(f904(x56082,a893))))
% 92.29/92.09 [5609]E(x56091,f2(a897))+E(f317(f162(x56092),f159(x56092,x56091,x56093)),f317(f317(f299(x56092),x56093),f178(f904(x56092,a893))))
% 92.29/92.09 [5628]E(f160(x56281,x56282,x56283),x56283)+P1(f317(f317(f319(x56281),x56282),f317(f162(x56281),x56283)))
% 92.29/92.09 [5713]~P1(f317(f127(x57131),x57133))+P1(f317(f127(x57131),f317(f126(x57131,x57132),x57133)))
% 92.29/92.09 [5756]~P3(x57561)+E(f317(f317(f31(x57561),f41(x57561,x57562,x57563)),x57563),f2(x57561))
% 92.29/92.09 [5775]E(f166(x57751,f317(f317(f141(x57751),x57752),f103(x57751)),x57753),f103(x57751))+P1(f317(f317(f319(a897),f2(a897)),x57753))
% 92.29/92.09 [5781]E(x57811,f2(a897))+E(f317(f161(x57812),f159(x57812,x57811,x57813)),f159(x57812,f317(f317(f23(a897),x57811),f72(a897)),x57813))
% 92.29/92.09 [5831]E(f317(f317(f141(x58311),x58312),x58313),f130(x58311,x58312,x58313))+P1(f317(f317(f319(x58311),x58312),f317(f162(x58311),x58313)))
% 92.29/92.09 [5832]E(f317(f317(f141(x58321),x58322),x58323),f130(x58321,x58322,x58323))+P1(f317(f317(f319(x58321),x58322),f317(f162(x58321),x58323)))
% 92.29/92.09 [5841]E(x58411,x58412)+~E(f317(f317(f75(a897),f317(a102,x58413)),x58411),f317(f317(f75(a897),f317(a102,x58413)),x58412))
% 92.29/92.09 [5842]~E(x58422,f317(f317(f74(a1),x58421),f317(f90(a1),f317(a102,x58423))))+P1(f317(f317(f225(a1),x58421),x58422))
% 92.29/92.09 [5912]~P29(x59121,x59122,x59123)+P30(a897,x59121,f129(a897,f317(f292(a897,x59122),x59123)))
% 92.29/92.09 [5965]~E(x59653,f103(x59651))+E(f317(f317(f317(f173(f898(x59651),f898(x59651)),x59652),f157(x59651)),x59653),f103(x59651))
% 92.29/92.09 [5967]P1(f317(x59671,x59672))+~P1(f317(f317(f319(x59673),x59672),f317(f252(x59673),x59671)))
% 92.29/92.09 [5968]P1(f317(x59681,x59682))+~P1(f317(f317(f319(x59683),x59682),f317(f252(x59683),x59681)))
% 92.29/92.09 [5969]P1(f317(x59691,x59692))+~P1(f317(f317(f319(x59693),x59692),f317(f252(x59693),x59691)))
% 92.29/92.09 [6002]E(x60021,x60022)+~E(f317(f317(f299(x60023),x60021),f178(f904(x60023,a893))),f317(f317(f299(x60023),x60022),f178(f904(x60023,a893))))
% 92.29/92.09 [6018]~P108(x60181)+E(f317(f317(f92(f904(x60181,a893)),f317(f272(x60181),x60182)),f317(f292(x60181,x60182),x60183)),f178(f904(x60181,a893)))
% 92.29/92.09 [6056]E(f130(x60561,x60562,x60563),x60563)+~P1(f317(f317(f319(x60561),x60562),f317(f162(x60561),x60563)))
% 92.29/92.09 [6057]E(f130(x60571,x60572,x60573),x60573)+~P1(f317(f317(f319(x60571),x60572),f317(f162(x60571),x60573)))
% 92.29/92.09 [6079]~P67(x60791)+E(f317(f300(x60791,x60791,f73(x60791)),f317(f292(x60791,x60792),x60793)),f295(x60791,f317(f73(x60791),x60793),f317(f73(x60791),x60792)))
% 92.29/92.09 [6084]P1(f317(f317(f319(x60841),x60842),f317(f162(x60841),x60843)))+~P1(f317(f317(f162(x60841),x60843),x60842))
% 92.29/92.09 [6085]P1(f317(f317(f319(x60851),x60852),f317(f162(x60851),x60853)))+~P1(f317(f317(f162(x60851),x60853),x60852))
% 92.29/92.09 [6090]E(f317(f179(f898(x60901)),f160(x60901,x60902,x60903)),f317(f179(f898(x60901)),x60903))+P1(f317(f317(f319(x60901),x60902),f317(f162(x60901),x60903)))
% 92.29/92.09 [6110]P1(f317(x61101,x61102))+~P1(f317(f317(f319(x61103),x61102),f178(f904(x61103,a893))))
% 92.29/92.09 [6111]~P1(f317(x61112,x61113))+P1(f317(f317(f319(x61111),f715(x61112,x61111)),f232(f904(x61111,a893))))
% 92.29/92.09 [6145]~P108(x61451)+E(f317(f317(f92(f904(x61451,a893)),f317(f292(x61451,x61452),x61453)),f317(f273(x61451),x61453)),f178(f904(x61451,a893)))
% 92.29/92.09 [6165]~P67(x61651)+E(f317(f300(x61651,x61651,f73(x61651)),f296(x61651,x61652,x61653)),f296(x61651,f317(f73(x61651),x61653),f317(f73(x61651),x61652)))
% 92.29/92.09 [6166]~P67(x61661)+E(f317(f300(x61661,x61661,f73(x61661)),f293(x61661,x61662,x61663)),f293(x61661,f317(f73(x61661),x61663),f317(f73(x61661),x61662)))
% 92.29/92.09 [6171]~P1(f317(x61711,x61712))+~P1(f317(f317(f319(x61713),x61712),f178(f904(x61713,a893))))
% 92.29/92.09 [6227]~P1(f317(f317(f319(x62271),x62273),f317(f162(x62271),x62272)))+P1(f317(f317(f162(x62271),x62272),x62273))
% 92.29/92.09 [6228]~P1(f317(f317(f319(x62281),x62283),f317(f162(x62281),x62282)))+P1(f317(f317(f162(x62281),x62282),x62283))
% 92.29/92.09 [6232]E(f166(x62321,f317(f317(f141(x62321),x62322),f103(x62321)),x62323),f317(f317(f141(x62321),x62322),f103(x62321)))+~P1(f317(f317(f319(a897),f2(a897)),x62323))
% 92.29/92.09 [6237]P29(x62371,x62372,x62373)+~P30(a897,x62371,f129(a897,f317(f292(a897,x62372),x62373)))
% 92.29/92.09 [6240]~P67(x62401)+E(f317(f300(x62401,x62401,f73(x62401)),f295(x62401,x62402,x62403)),f317(f292(x62401,f317(f73(x62401),x62403)),f317(f73(x62401),x62402)))
% 92.29/92.09 [6262]~P4(x62621)+E(f41(x62621,f317(f73(x62621),f41(x62621,x62622,x62623)),x62623),f41(x62621,f317(f73(x62621),x62622),x62623))
% 92.29/92.09 [6361]~P1(f317(f29(f903(x63612,x63611)),x63613))+P1(f317(f29(x63611),f317(f274(x63612,x63611),x63613)))
% 92.29/92.09 [6362]~P1(f317(f29(f903(x63621,x63622)),x63623))+P1(f317(f29(x63621),f317(f254(x63621,x63622),x63623)))
% 92.29/92.09 [6367]~P108(x63671)+E(f317(f317(f92(f904(x63671,a893)),f296(x63671,x63672,x63673)),f317(f273(x63671),x63673)),f178(f904(x63671,a893)))
% 92.29/92.09 [6368]~P108(x63681)+E(f317(f317(f92(f904(x63681,a893)),f295(x63681,x63682,x63683)),f317(f294(x63681),x63683)),f178(f904(x63681,a893)))
% 92.29/92.09 [6369]~P108(x63691)+E(f317(f317(f92(f904(x63691,a893)),f293(x63691,x63692,x63693)),f317(f294(x63691),x63693)),f178(f904(x63691,a893)))
% 92.29/92.09 [6442]E(f317(f317(f154(x64421),x64422),f632(x64422,x64423,x64421)),x64423)+~P1(f317(f317(f319(x64421),x64423),f317(f162(x64421),x64422)))
% 92.29/92.09 [6590]E(x65901,f103(x65902))+~E(f317(f317(f317(f173(f898(x65902),f898(x65902)),x65903),f157(x65902)),x65901),f103(x65902))
% 92.29/92.09 [6696]~P1(f317(f29(f903(x66962,x66961)),x66963))+P1(f317(f29(f903(x66961,x66962)),f317(f276(x66962,x66961),x66963)))
% 92.29/92.09 [6719]E(x67191,x67192)+~E(f280(a897,f277(a897),x67193,x67191),f317(f317(f299(a897),x67192),f178(f904(a897,a893))))
% 92.29/92.09 [6720]E(x67201,x67202)+~E(f280(a897,f277(a897),x67201,x67202),f317(f317(f299(a897),x67203),f178(f904(a897,a893))))
% 92.29/92.09 [6855]P55(x68551,x68552,x68553)+P1(f317(f317(f319(x68551),f587(x68553,x68552,x68551)),x68552))
% 92.29/92.09 [6856]P55(x68561,x68562,x68563)+P1(f317(f317(f319(x68561),f586(x68563,x68562,x68561)),x68562))
% 92.29/92.09 [6866]P1(f317(f305(x68661,x68662),x68663))+P1(f317(f317(x68662,f875(x68663,x68662,x68661)),x68663))
% 92.29/92.09 [6867]P1(f317(f305(x68671,x68672),x68673))+P1(f317(f317(x68672,f883(x68673,x68672,x68671)),x68673))
% 92.29/92.09 [6898]E(f317(f179(f898(x68981)),f160(x68981,x68982,x68983)),f317(f317(f23(a897),f317(f179(f898(x68981)),x68983)),f72(a897)))+~P1(f317(f317(f319(x68981),x68982),f317(f162(x68981),x68983)))
% 92.29/92.09 [6937]P1(f317(f238(x69371,x69372),x69373))+P1(f317(f317(f319(x69371),f545(x69373,x69372,x69371)),x69373))
% 92.29/92.09 [6946]~P1(f317(f29(f903(x69462,x69461)),f317(f276(x69461,x69462),x69463)))+P1(f317(f29(f903(x69461,x69462)),x69463))
% 92.29/92.09 [7006]~P1(f317(f317(f319(x70061),x70062),f317(f162(x70061),f104(x70061,x70063))))+P1(f317(f317(f319(x70061),x70062),f317(f162(x70061),x70063)))
% 92.29/92.09 [7042]E(f317(f126(x70421,x70422),x70423),x70423)+P1(f317(f317(f319(x70421),f656(x70423,x70422,x70421)),f317(f162(x70421),x70423)))
% 92.29/92.09 [7058]E(f317(f126(x70581,x70582),x70583),f103(x70581))+P1(f317(f317(f319(x70581),f655(x70583,x70582,x70581)),f317(f162(x70581),x70583)))
% 92.29/92.09 [7083]P30(x70831,x70832,x70833)+P1(f317(f317(f319(x70831),f735(x70833,x70832,x70831)),f317(f162(x70831),x70833)))
% 92.29/92.09 [7084]P30(x70841,x70842,x70843)+P1(f317(f317(f319(x70841),f743(x70843,x70842,x70841)),f317(f162(x70841),x70843)))
% 92.29/92.09 [7085]P30(x70851,x70852,x70853)+P1(f317(f317(f319(x70851),f742(x70852,x70853,x70851)),f317(f162(x70851),x70853)))
% 92.29/92.09 [7088]E(f167(x70881,x70882,x70883),x70883)+P1(f317(f317(f319(x70881),f695(x70883,x70882,x70881)),f317(f162(x70881),x70883)))
% 92.29/92.09 [7164]P1(f317(f150(x71641,x71642),x71643))+P1(f317(f317(f319(x71641),f657(x71643,x71642,x71641)),f317(f162(x71641),x71643)))
% 92.29/92.09 [7173]~P32(x71731,x71733,x71732)+P1(f317(f317(f319(x71731),f728(x71732,x71733,x71731)),f317(f162(x71731),x71732)))
% 92.29/92.09 [7174]~P34(x71741,x71743,x71742)+P1(f317(f317(f319(x71741),f734(x71742,x71743,x71741)),f317(f162(x71741),x71742)))
% 92.29/92.09 [7175]~P34(x71751,x71753,x71752)+P1(f317(f317(f319(x71751),f744(x71752,x71753,x71751)),f317(f162(x71751),x71752)))
% 92.29/92.09 [7176]~P32(x71761,x71762,x71763)+P1(f317(f317(f319(x71761),f772(x71762,x71763,x71761)),f317(f162(x71761),x71763)))
% 92.29/92.09 [7177]~P32(x71771,x71773,x71772)+P1(f317(f317(f319(x71771),f774(x71772,x71773,x71771)),f317(f162(x71771),x71772)))
% 92.29/92.09 [7211]P1(f317(f317(f319(x72111),x72112),f613(x72113,x72112,x72111)))+~P1(f317(f317(f319(x72111),x72112),f32(f904(x72111,a893),x72113)))
% 92.29/92.09 [7212]~P77(x72121)+E(f317(f317(f74(x72121),f317(f317(f6(a897,x72121),x72122),f317(f272(a897),x72123))),f317(x72122,x72123)),f317(f317(f6(a897,x72121),x72122),f317(f272(a897),f317(a102,x72123))))
% 92.29/92.09 [7224]P29(x72241,x72242,x72243)+P1(f317(f317(f319(a897),f833(x72243,x72242,x72241)),f317(f292(a897,x72242),x72243)))
% 92.29/92.09 [7304]~P32(x73042,x73041,x73043)+P1(f317(x73041,f317(f317(f154(x73042),x73043),f731(x73043,x73041,x73042))))
% 92.29/92.09 [7315]~P1(f317(f317(f319(x73151),x73152),f575(x73152,x73153,x73151)))+P1(f317(f317(f319(x73151),x73152),f33(f904(x73151,a893),x73153)))
% 92.29/92.09 [7348]~P77(x73481)+E(f317(f317(f74(x73481),f317(f317(f6(a897,x73481),x73482),f317(f291(a897),x73483))),f317(x73482,f317(a102,x73483))),f317(f317(f6(a897,x73481),x73482),f317(f291(a897),f317(a102,x73483))))
% 92.29/92.09 [7489]P1(f317(f317(f319(f898(x74891)),x74892),f151(x74891,x74893)))+P1(f317(f317(f319(x74891),f636(x74893,x74892,x74891)),f317(f162(x74891),x74892)))
% 92.29/92.09 [7505]~P1(f317(f317(f319(f898(x75051)),x75052),f151(x75051,f306(x75051,x75053))))+P1(f317(f317(f319(f898(x75051)),x75052),f306(f898(x75051),f147(x75051,x75053))))
% 92.29/92.09 [7529]~P1(f317(f317(f319(f898(x75291)),x75292),f306(f898(x75291),f147(x75291,x75293))))+P1(f317(f317(f319(f898(x75291)),x75292),f151(x75291,f306(x75291,x75293))))
% 92.29/92.09 [7561]E(f317(f317(f317(f173(f898(x75611),f898(x75611)),x75612),f157(x75611)),x75613),x75613)+~P1(f317(f317(f224(a897),f317(f179(f898(x75611)),x75613)),f72(a897)))
% 92.29/92.09 [7594]E(f317(f317(f124(x75941),f732(x75942,x75943,x75941)),f317(f317(f141(x75941),x75943),f733(x75942,x75943,x75941))),x75942)+~P1(f317(f317(f319(x75941),x75943),f317(f162(x75941),x75942)))
% 92.29/92.09 [7595]E(f317(f317(f124(x75951),f737(x75952,x75953,x75951)),f317(f317(f141(x75951),x75953),f739(x75952,x75953,x75951))),x75952)+~P1(f317(f317(f319(x75951),x75953),f317(f162(x75951),x75952)))
% 92.29/92.09 [7596]E(f317(f317(f124(x75961),f740(x75962,x75963,x75961)),f317(f317(f141(x75961),x75963),f741(x75962,x75963,x75961))),x75962)+~P1(f317(f317(f319(x75961),x75963),f317(f162(x75961),x75962)))
% 92.29/92.09 [7616]~P24(x76161,x76162,x76163,f232(f904(x76161,a893)))+P24(f898(x76161),f898(x76162),f317(f144(x76161,x76162),x76163),f232(f904(f898(x76161),a893)))
% 92.29/92.09 [7617]~P24(x76171,x76172,x76173,f232(f904(x76171,a893)))+P24(f898(x76171),f898(x76172),f317(f144(x76171,x76172),x76173),f232(f904(f898(x76171),a893)))
% 92.29/92.09 [7770]E(x77701,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x77702)),x77703)),f317(f246(a897,a897),x77702)))+~P1(f317(f44(x77701,x77703),x77702))
% 92.29/92.09 [7777]P24(x77771,x77772,x77773,f232(f904(x77771,a893)))+~P24(f898(x77771),f898(x77772),f317(f144(x77771,x77772),x77773),f232(f904(f898(x77771),a893)))
% 92.29/92.09 [7778]P24(x77781,x77782,x77783,f232(f904(x77781,a893)))+~P24(f898(x77781),f898(x77782),f317(f144(x77781,x77782),x77783),f232(f904(f898(x77781),a893)))
% 92.29/92.09 [7823]P1(f317(f317(f319(f904(x78231,a893)),f575(x78232,x78233,x78231)),x78233))+P1(f317(f317(f319(x78231),x78232),f33(f904(x78231,a893),x78233)))
% 92.29/92.09 [7914]P1(f317(f317(f319(f898(x79141)),x79142),f151(x79141,x79143)))+~P1(f317(f317(f319(x79141),f636(x79143,x79142,x79141)),x79143))
% 92.29/92.09 [8015]P30(x80151,x80152,x80153)+~P1(f317(x80152,f317(f317(f154(x80151),x80153),f736(x80153,x80152,x80151))))
% 92.29/92.09 [8040]E(x80401,x80402)+~E(f317(f317(f7(x80403,f904(x80403,a893),a893),f319(x80403)),x80401),f317(f317(f7(x80403,f904(x80403,a893),a893),f319(x80403)),x80402))
% 92.29/92.09 [8048]~P1(f317(f317(f319(f903(x80481,x80481)),x80483),f253(x80481,x80482)))+P1(f317(f317(f319(x80481),f423(x80482,x80483,x80481)),x80482))
% 92.29/92.09 [8050]~P1(f317(f317(f319(x80501),x80503),f32(f904(x80501,a893),x80502)))+P1(f317(f317(f319(f904(x80501,a893)),f613(x80502,x80503,x80501)),x80502))
% 92.29/92.09 [8169]P24(x81691,x81692,f85(x81692,x81691,f232(f904(x81692,a893)),x81693),f232(f904(x81691,a893)))+~E(f317(f300(x81692,x81691,x81693),f232(f904(x81692,a893))),f232(f904(x81691,a893)))
% 92.29/92.09 [8223]~P1(f317(f317(f319(x82231),x82232),f317(f162(x82231),f737(x82233,x82232,x82231))))+~P1(f317(f317(f319(x82231),x82232),f317(f162(x82231),x82233)))
% 92.29/92.09 [8224]~P1(f317(f317(f319(x82241),x82242),f317(f162(x82241),f741(x82243,x82242,x82241))))+~P1(f317(f317(f319(x82241),x82242),f317(f162(x82241),x82243)))
% 92.29/92.09 [8253]P29(f317(f67(a893,a893,a897,a312),x82531),x82532,x82533)+P32(a897,x82531,f129(a897,f317(f292(a897,x82532),x82533)))
% 92.29/92.09 [8414]E(x84141,f103(x84142))+P1(f317(f317(f319(x84142),f317(f241(x84142,f903(a89,a89)),f317(f265(x84142,x84141),x84143))),f317(f162(x84142),x84141)))
% 92.29/92.09 [8513]~P72(x85131)+E(f317(f132(x85131,x85131,f317(f7(x85131,x85131,x85131),f74(x85131)),x85132),f317(f158(x85131),x85133)),f317(f132(x85131,x85131,f74(x85131),x85132),x85133))
% 92.29/92.09 [8705]~P24(x87052,x87051,x87053,f232(f904(x87052,a893)))+E(f317(f300(x87051,x87052,f85(x87052,x87051,f232(f904(x87052,a893)),x87053)),f232(f904(x87051,a893))),f232(f904(x87052,a893)))
% 92.29/92.09 [8775]~P29(f317(f67(a893,a893,a897,a312),x87751),x87752,x87753)+~P32(a897,x87751,f129(a897,f317(f292(a897,x87752),x87753)))
% 92.29/92.09 [8916]~P25(x89161,x89162,x89163,f232(f904(x89161,a893)),f232(f904(x89162,a893)))+E(f317(f300(x89161,x89162,x89163),f232(f904(x89161,a893))),f232(f904(x89162,a893)))
% 92.29/92.09 [8917]~P25(x89171,x89172,x89173,f232(f904(x89171,a893)),f232(f904(x89172,a893)))+E(f317(f300(x89171,x89172,x89173),f232(f904(x89171,a893))),f232(f904(x89172,a893)))
% 92.29/92.09 [9022]~P107(x90221)+E(f317(f162(x90221),f139(x90221,x90221,f5(x90221),x90222,x90223)),f317(f317(f299(x90221),x90222),f317(f162(x90221),x90223)))
% 92.29/92.09 [9031]~E(f317(x90313,f317(f85(x90311,x90312,f232(f904(x90311,a893)),x90313),f788(x90313,x90312,x90311))),f788(x90313,x90312,x90311))+E(f317(f300(x90311,x90312,x90313),f232(f904(x90311,a893))),f232(f904(x90312,a893)))
% 92.29/92.09 [9033]P1(f317(f317(f225(a897),f2(a897)),f590(x90331,x90332,x90333)))+~P1(f317(f317(f319(f903(x90333,x90333)),x90332),f317(f317(f279(x90333,x90333,x90333),x90331),f297(x90333,x90331))))
% 92.29/92.09 [9311]~P57(x93111,x93112)+~P1(f317(f317(f319(f903(x93111,x93111)),f317(f317(f242(x93111,x93111),x93113),x93113)),f317(f317(f279(x93111,x93111,x93111),x93112),f297(x93111,x93112))))
% 92.29/92.09 [9417]~P25(x94172,x94171,x94173,f232(f904(x94172,a893)),f232(f904(x94171,a893)))+P25(x94171,x94172,f85(x94172,x94171,f232(f904(x94172,a893)),x94173),f232(f904(x94171,a893)),f232(f904(x94172,a893)))
% 92.29/92.09 [9450]~E(f317(f317(f92(f904(f903(x94501,x94501),a893)),f317(f276(x94501,x94501),x94502)),f297(x94501,x94502)),f178(f904(f903(x94501,x94501),a893)))+~P1(f317(f317(f319(f903(x94501,x94501)),f317(f317(f242(x94501,x94501),x94503),x94503)),f317(f317(f279(x94501,x94501,x94501),x94502),f297(x94501,x94502))))
% 92.29/92.09 [9641]~P1(f317(f29(x96411),x96412))+P1(f317(f317(f224(a897),f317(f30(x96411),f317(f317(f23(f904(x96411,a893)),x96412),f317(f317(f299(x96411),x96413),f178(f904(x96411,a893)))))),f317(f30(x96411),x96412)))
% 92.29/92.09 [5123]~E(x51233,f103(x51231))+E(f134(x51231,f317(f317(f141(x51231),x51232),x51233)),x51232)
% 92.29/92.09 [5124]~E(x51243,f103(x51241))+E(f134(x51241,f317(f317(f141(x51241),x51242),x51243)),x51242)
% 92.29/92.09 [5133]~E(x51333,f103(x51331))+E(f104(x51331,f317(f317(f141(x51331),x51332),x51333)),f103(x51331))
% 92.29/92.09 [5162]E(x51621,f103(x51622))+E(f134(x51622,f317(f317(f141(x51622),x51623),x51621)),f134(x51622,x51621))
% 92.29/92.09 [5163]E(x51631,f103(x51632))+E(f134(x51632,f317(f317(f141(x51632),x51633),x51631)),f134(x51632,x51631))
% 92.29/92.09 [5164]E(x51641,f103(x51642))+E(f134(x51642,f317(f317(f124(x51642),x51643),x51641)),f134(x51642,x51641))
% 92.29/92.09 [5165]E(x51651,f103(x51652))+E(f134(x51652,f317(f317(f124(x51652),x51653),x51651)),f134(x51652,x51651))
% 92.29/92.09 [5171]~E(x51713,f103(x51711))+E(f104(x51711,f317(f317(f124(x51711),x51712),x51713)),f104(x51711,x51712))
% 92.29/92.09 [5172]~E(x51723,f103(x51721))+E(f134(x51721,f317(f317(f124(x51721),x51722),x51723)),f134(x51721,x51722))
% 92.29/92.09 [5173]~E(x51733,f103(x51731))+E(f134(x51731,f317(f317(f124(x51731),x51732),x51733)),f134(x51731,x51732))
% 92.29/92.09 [5205]E(x52051,f103(x52052))+E(f317(f131(x52052),f317(f317(f124(x52052),x52051),x52053)),f317(f131(x52052),x52051))
% 92.29/92.09 [5206]E(x52061,f103(x52062))+E(f317(f131(x52062),f317(f317(f124(x52062),x52061),x52063)),f317(f131(x52062),x52061))
% 92.29/92.09 [5234]~E(x52342,f103(x52341))+E(f317(f131(x52341),f317(f317(f124(x52341),x52342),x52343)),f317(f131(x52341),x52343))
% 92.29/92.09 [5286]~P107(x52861)+E(f317(f317(f228(x52861),x52862),f317(f317(f223(x52861),x52862),x52863)),x52862)
% 92.29/92.09 [5287]~P107(x52871)+E(f317(f317(f223(x52871),x52872),f317(f317(f228(x52871),x52872),x52873)),x52872)
% 92.29/92.09 [5288]~P99(x52881)+E(f317(f317(f91(x52881),x52882),f317(f317(f92(x52881),x52882),x52883)),x52882)
% 92.29/92.09 [5289]~P99(x52891)+E(f317(f317(f92(x52891),x52892),f317(f317(f91(x52891),x52892),x52893)),x52892)
% 92.29/92.09 [5308]~P3(x53081)+E(f41(x53081,f317(f317(f75(x53081),x53082),x53083),x53083),f2(x53081))
% 92.29/92.09 [5309]~P3(x53091)+E(f41(x53091,f317(f317(f75(x53091),x53092),x53093),x53092),f2(x53091))
% 92.29/92.09 [5377]~P68(x53771)+E(f317(f73(x53771),f317(f317(f23(x53771),x53772),x53773)),f317(f317(f23(x53771),x53773),x53772))
% 92.29/92.09 [5440]E(x54401,f103(x54402))+E(f104(x54402,f317(f317(f141(x54402),x54403),x54401)),f317(f317(f141(x54402),x54403),f104(x54402,x54401)))
% 92.29/92.09 [5441]E(x54411,f103(x54412))+E(f104(x54412,f317(f317(f124(x54412),x54413),x54411)),f317(f317(f124(x54412),x54413),f104(x54412,x54411)))
% 92.29/92.09 [5444]~P5(x54441)+E(f33(x54441,f317(f317(f299(x54441),x54442),x54443)),f317(f317(f92(x54441),x54442),f33(x54441,x54443)))
% 92.29/92.09 [5445]~P5(x54451)+E(f32(x54451,f317(f317(f299(x54451),x54452),x54453)),f317(f317(f91(x54451),x54452),f32(x54451,x54453)))
% 92.29/92.09 [5491]~P97(x54911)+E(f317(f317(f75(x54911),x54912),f317(f317(f75(x54911),x54912),x54913)),f317(f317(f75(x54911),x54912),x54913))
% 92.29/92.09 [5492]~P107(x54921)+E(f317(f317(f228(x54921),x54922),f317(f317(f228(x54921),x54922),x54923)),f317(f317(f228(x54921),x54922),x54923))
% 92.29/92.09 [5493]~P107(x54931)+E(f317(f317(f228(x54931),x54932),f317(f317(f228(x54931),x54932),x54933)),f317(f317(f228(x54931),x54932),x54933))
% 92.29/92.09 [5494]~P107(x54941)+E(f317(f317(f223(x54941),x54942),f317(f317(f223(x54941),x54942),x54943)),f317(f317(f223(x54941),x54942),x54943))
% 92.29/92.09 [5495]~P107(x54951)+E(f317(f317(f223(x54951),x54952),f317(f317(f223(x54951),x54952),x54953)),f317(f317(f223(x54951),x54952),x54953))
% 92.29/92.09 [5496]~P98(x54961)+E(f317(f317(f91(x54961),x54962),f317(f317(f91(x54961),x54962),x54963)),f317(f317(f91(x54961),x54962),x54963))
% 92.29/92.09 [5497]~P98(x54971)+E(f317(f317(f91(x54971),x54972),f317(f317(f91(x54971),x54972),x54973)),f317(f317(f91(x54971),x54972),x54973))
% 92.29/92.09 [5498]~P99(x54981)+E(f317(f317(f91(x54981),x54982),f317(f317(f91(x54981),x54982),x54983)),f317(f317(f91(x54981),x54982),x54983))
% 92.29/92.09 [5499]~P99(x54991)+E(f317(f317(f92(x54991),x54992),f317(f317(f92(x54991),x54992),x54993)),f317(f317(f92(x54991),x54992),x54993))
% 92.29/92.09 [5500]~P104(x55001)+E(f317(f317(f92(x55001),x55002),f317(f317(f92(x55001),x55002),x55003)),f317(f317(f92(x55001),x55002),x55003))
% 92.29/92.09 [5501]~P104(x55011)+E(f317(f317(f92(x55011),x55012),f317(f317(f92(x55011),x55012),x55013)),f317(f317(f92(x55011),x55012),x55013))
% 92.29/92.09 [5508]~P3(x55081)+E(f41(x55081,f317(f317(f74(x55081),x55082),x55083),x55083),f41(x55081,x55082,x55083))
% 92.29/92.09 [5509]~P3(x55091)+E(f41(x55091,f317(f317(f74(x55091),x55092),x55093),x55092),f41(x55091,x55093,x55092))
% 92.29/92.09 [5518]~P139(x55181)+E(f317(f317(f75(x55181),x55182),f317(f73(x55181),x55183)),f317(f73(x55181),f317(f317(f75(x55181),x55182),x55183)))
% 92.29/92.09 [5519]~P61(x55191)+E(f317(f317(f281(x55191),x55192),f317(f73(x55191),x55193)),f317(f73(x55191),f317(f317(f281(x55191),x55192),x55193)))
% 92.29/92.09 [5520]~P82(x55201)+E(f317(f317(f74(x55201),x55202),f317(f155(x55201),x55203)),f317(f155(x55201),f317(f317(f141(x55201),x55202),x55203)))
% 92.29/92.09 [5548]~P139(x55481)+E(f317(f317(f75(x55481),f317(f73(x55481),x55482)),x55483),f317(f317(f75(x55481),x55482),f317(f73(x55481),x55483)))
% 92.29/92.09 [5554]~P8(x55541,x55542,x55543)+E(f32(f904(x55541,a893),f317(f317(f56(x55541),x55542),x55543)),x55542)
% 92.29/92.09 [5619]~P119(x56191)+E(f317(f317(f75(x56191),x56192),f317(f317(f234(x56191),x56192),x56193)),f317(f317(f234(x56191),x56192),f317(a102,x56193)))
% 92.29/92.09 [5620]~P114(x56201)+E(f317(f317(f75(x56201),x56202),f317(f317(f234(x56201),x56202),x56203)),f317(f317(f234(x56201),x56202),f317(a102,x56203)))
% 92.29/92.09 [5621]~P119(x56211)+E(f317(f317(f75(x56211),x56212),f317(f317(f234(x56211),x56212),x56213)),f317(f317(f234(x56211),x56212),f317(a102,x56213)))
% 92.29/92.09 [5631]~P75(x56311)+E(f317(f317(f74(x56311),f317(f73(x56311),x56312)),f317(f317(f74(x56311),x56312),x56313)),x56313)
% 92.29/92.09 [5654]~P144(x56541)+E(f317(f317(f234(x56541),f317(f90(x56541),x56542)),x56543),f317(f90(x56541),f317(f317(f234(a897),x56542),x56543)))
% 92.29/92.09 [5655]~P140(x56551)+E(f317(f317(f234(x56551),f317(f93(x56551),x56552)),x56553),f317(f93(x56551),f317(f317(f234(a1),x56552),x56553)))
% 92.29/92.09 [5661]~P85(x56611)+E(f317(f70(x56611),f317(f317(f23(x56611),x56612),x56613)),f317(f70(x56611),f317(f317(f23(x56611),x56613),x56612)))
% 92.29/92.09 [5663]~P126(x56631)+E(f317(f317(f75(x56631),f76(x56631,x56632)),f76(x56631,x56633)),f76(x56631,f317(f317(f75(x56631),x56632),x56633)))
% 92.29/92.09 [5667]E(x56671,f103(x56672))+E(f317(f317(f124(x56672),f317(f161(x56672),x56671)),x56673),f317(f161(x56672),f317(f317(f124(x56672),x56671),x56673)))
% 92.29/92.09 [5673]~E(x56732,f317(a102,f317(f317(f74(a897),x56731),x56733)))+P1(f317(f317(f225(a897),x56731),x56732))
% 92.29/92.09 [5674]~P139(x56741)+E(f317(f317(f75(x56741),f317(f73(x56741),x56742)),x56743),f317(f73(x56741),f317(f317(f75(x56741),x56742),x56743)))
% 92.29/92.09 [5675]~P122(x56751)+E(f317(f317(f281(x56751),f317(f73(x56751),x56752)),x56753),f317(f73(x56751),f317(f317(f281(x56751),x56752),x56753)))
% 92.29/92.09 [5676]~P126(x56761)+E(f317(f317(f234(x56761),f317(f70(x56761),x56762)),x56763),f317(f70(x56761),f317(f317(f234(x56761),x56762),x56763)))
% 92.29/92.09 [5774]E(f422(x57741,x57742,x57743),f434(x57741,x57742,x57743))+E(f317(f317(f92(f904(x57743,a893)),x57742),x57741),f178(f904(x57743,a893)))
% 92.29/92.09 [5789]~P76(x57892)+E(f317(f317(f9(x57891,x57892),f317(f16(x57892,x57891),f72(x57892))),x57893),f72(x57892))
% 92.29/92.09 [5790]~P77(x57902)+E(f317(f317(f6(x57901,x57902),f317(f16(x57902,x57901),f2(x57902))),x57903),f2(x57902))
% 92.29/92.09 [5792]~P94(x57921)+E(f317(f317(f23(x57921),f317(f94(x57921),x57922)),f317(f94(x57921),x57923)),f317(f94(x57921),f317(f317(f23(a1),x57922),x57923)))
% 92.29/92.09 [5793]~P94(x57931)+E(f317(f317(f74(x57931),f317(f94(x57931),x57932)),f317(f94(x57931),x57933)),f317(f94(x57931),f317(f317(f74(a1),x57932),x57933)))
% 92.29/92.09 [5794]~P94(x57941)+E(f317(f317(f75(x57941),f317(f94(x57941),x57942)),f317(f94(x57941),x57943)),f317(f94(x57941),f317(f317(f75(a1),x57942),x57943)))
% 92.29/92.09 [5795]~P144(x57951)+E(f317(f317(f74(x57951),f317(f90(x57951),x57952)),f317(f90(x57951),x57953)),f317(f90(x57951),f317(f317(f74(a897),x57952),x57953)))
% 92.29/92.09 [5796]~P144(x57961)+E(f317(f317(f75(x57961),f317(f90(x57961),x57962)),f317(f90(x57961),x57963)),f317(f90(x57961),f317(f317(f75(a897),x57962),x57963)))
% 92.29/92.09 [5797]~P140(x57971)+E(f317(f317(f23(x57971),f317(f93(x57971),x57972)),f317(f93(x57971),x57973)),f317(f93(x57971),f317(f317(f23(a1),x57972),x57973)))
% 92.29/92.09 [5798]~P140(x57981)+E(f317(f317(f74(x57981),f317(f93(x57981),x57982)),f317(f93(x57981),x57983)),f317(f93(x57981),f317(f317(f74(a1),x57982),x57983)))
% 92.29/92.09 [5799]~P140(x57991)+E(f317(f317(f75(x57991),f317(f93(x57991),x57992)),f317(f93(x57991),x57993)),f317(f93(x57991),f317(f317(f75(a1),x57992),x57993)))
% 92.29/92.09 [5800]~P94(x58001)+E(f317(f317(f74(x58001),f317(f94(x58001),x58002)),f317(f94(x58001),x58003)),f317(f94(x58001),f317(f317(f74(a1),x58002),x58003)))
% 92.29/92.09 [5801]~P94(x58011)+E(f317(f317(f75(x58011),f317(f94(x58011),x58012)),f317(f94(x58011),x58013)),f317(f94(x58011),f317(f317(f75(a1),x58012),x58013)))
% 92.29/92.09 [5849]~E(x58493,x58492)+P1(f317(f317(f224(f904(x58491,a893)),x58492),x58493))
% 92.29/92.09 [5850]~E(x58502,x58503)+P1(f317(f317(f224(f904(x58501,a893)),x58502),x58503))
% 92.29/92.09 [5851]~E(x58512,x58513)+P1(f317(f317(f224(f904(x58511,a893)),x58512),x58513))
% 92.29/92.09 [5852]~E(x58522,x58523)+P1(f317(f317(f224(f904(x58521,a893)),x58522),x58523))
% 92.29/92.09 [5853]~E(x58532,x58533)+P1(f317(f317(f224(f904(x58531,a893)),x58532),x58533))
% 92.29/92.09 [5854]~E(x58542,x58543)+P1(f317(f317(f224(f904(x58541,a893)),x58542),x58543))
% 92.29/92.09 [5855]~E(x58552,x58553)+P1(f317(f317(f224(f904(x58551,a893)),x58552),x58553))
% 92.29/92.09 [5860]~P75(x58601)+E(f317(f317(f74(x58601),f317(f73(x58601),x58602)),f317(f73(x58601),x58603)),f317(f73(x58601),f317(f317(f74(x58601),x58603),x58602)))
% 92.29/92.09 [5861]~P68(x58611)+E(f317(f317(f74(x58611),f317(f73(x58611),x58612)),f317(f73(x58611),x58613)),f317(f73(x58611),f317(f317(f74(x58611),x58612),x58613)))
% 92.29/92.09 [5862]~P78(x58621)+E(f317(f317(f223(x58621),f317(f73(x58621),x58622)),f317(f73(x58621),x58623)),f317(f73(x58621),f317(f317(f228(x58621),x58622),x58623)))
% 92.29/92.09 [5863]~P78(x58631)+E(f317(f317(f228(x58631),f317(f73(x58631),x58632)),f317(f73(x58631),x58633)),f317(f73(x58631),f317(f317(f223(x58631),x58632),x58633)))
% 92.29/92.09 [5864]~P96(x58641)+E(f317(f317(f92(x58641),f317(f73(x58641),x58642)),f317(f73(x58641),x58643)),f317(f73(x58641),f317(f317(f91(x58641),x58642),x58643)))
% 92.29/92.09 [5865]~P96(x58651)+E(f317(f317(f91(x58651),f317(f73(x58651),x58652)),f317(f73(x58651),x58653)),f317(f73(x58651),f317(f317(f92(x58651),x58652),x58653)))
% 92.29/92.09 [5866]~P126(x58661)+E(f317(f317(f75(x58661),f317(f70(x58661),x58662)),f317(f70(x58661),x58663)),f317(f70(x58661),f317(f317(f75(x58661),x58662),x58663)))
% 92.29/92.09 [5867]~P63(x58671)+E(f317(f317(f281(x58671),f317(f70(x58671),x58672)),f317(f70(x58671),x58673)),f317(f70(x58671),f317(f317(f281(x58671),x58672),x58673)))
% 92.29/92.09 [5868]~P82(x58681)+E(f317(f317(f74(x58681),f317(f155(x58681),x58682)),f317(f155(x58681),x58683)),f317(f155(x58681),f317(f317(f124(x58681),x58682),x58683)))
% 92.29/92.09 [5869]E(x58691,f178(f904(x58692,a893)))+~E(f317(f317(f91(f904(x58692,a893)),x58693),x58691),f178(f904(x58692,a893)))
% 92.29/92.09 [5870]E(x58701,f178(f904(x58702,a893)))+~E(f317(f317(f91(f904(x58702,a893)),x58701),x58703),f178(f904(x58702,a893)))
% 92.29/92.09 [5871]~P148(x58711,x58713,x58712)+P1(f317(x58711,f317(f317(f31(a1),x58712),x58713)))
% 92.29/92.09 [5935]~P1(f317(f29(x59351),x59353))+P1(f317(f29(x59351),f317(f317(f299(x59351),x59352),x59353)))
% 92.29/92.09 [5936]~P1(f317(f29(x59361),x59363))+P1(f317(f29(x59361),f317(f317(f299(x59361),x59362),x59363)))
% 92.29/92.09 [5937]~P1(f317(f127(x59371),x59373))+P1(f317(f127(x59371),f317(f317(f165(x59371),x59372),x59373)))
% 92.29/92.09 [5938]~P1(f317(f127(x59381),x59383))+P1(f317(f127(x59381),f317(f317(f128(x59381),x59382),x59383)))
% 92.29/92.09 [5970]~P107(x59701)+P1(f317(f317(f224(x59701),x59702),f317(f317(f223(x59701),x59703),x59702)))
% 92.29/92.09 [5971]~P107(x59711)+P1(f317(f317(f224(x59711),x59712),f317(f317(f223(x59711),x59712),x59713)))
% 92.29/92.09 [5972]~P98(x59721)+P1(f317(f317(f224(x59721),x59722),f317(f317(f91(x59721),x59723),x59722)))
% 92.29/92.09 [5973]~P99(x59731)+P1(f317(f317(f224(x59731),x59732),f317(f317(f91(x59731),x59733),x59732)))
% 92.29/92.09 [5974]~P98(x59741)+P1(f317(f317(f224(x59741),x59742),f317(f317(f91(x59741),x59742),x59743)))
% 92.29/92.09 [5975]~P99(x59751)+P1(f317(f317(f224(x59751),x59752),f317(f317(f91(x59751),x59752),x59753)))
% 92.29/92.09 [5976]~P119(x59761)+P1(f317(f317(f277(x59761),x59762),f317(f317(f75(x59761),x59763),x59762)))
% 92.29/92.09 [5977]~P119(x59771)+P1(f317(f317(f277(x59771),x59772),f317(f317(f75(x59771),x59772),x59773)))
% 92.29/92.09 [5991]~E(x59911,f2(a897))+E(f317(f317(f31(a897),f317(f317(f75(a897),x59911),x59912)),f317(f317(f75(a897),x59911),x59913)),f2(a897))
% 92.29/92.09 [6073]~P94(x60731)+E(f317(f317(f23(x60731),f317(f94(x60731),x60732)),f317(f94(x60731),x60733)),f317(f94(x60731),f317(f317(f74(a1),x60732),f317(f73(a1),x60733))))
% 92.29/92.09 [6133]E(x61331,f2(a897))+E(f317(f317(f31(a897),f317(f317(f75(a897),x61331),x61332)),f317(f317(f75(a897),x61331),x61333)),f317(f317(f31(a897),x61332),x61333))
% 92.29/92.09 [6163]E(f142(x61631,f317(f317(f141(x61631),x61632),x61633)),f317(f317(f141(x61631),x61632),f142(x61631,x61633)))+P1(f317(f317(f319(x61631),x61632),f317(f162(x61631),x61633)))
% 92.29/92.09 [6199]P148(x61991,x61992,x61993)+~P1(f317(x61991,f317(f317(f31(a1),x61993),x61992)))
% 92.29/92.09 [6275]E(x62751,f103(x62752))+E(f317(f317(f141(x62752),f317(f131(x62752),x62751)),f317(f317(f165(x62752),x62753),f317(f161(x62752),x62751))),f317(f317(f165(x62752),f317(a102,x62753)),x62751))
% 92.29/92.09 [6284]E(f317(f317(f23(f904(x62841,a893)),x62842),x62843),x62842)+~E(f317(f317(f92(f904(x62841,a893)),x62842),x62843),f178(f904(x62841,a893)))
% 92.29/92.09 [6298]E(f142(x62981,f317(f317(f141(x62981),x62982),x62983)),f142(x62981,x62983))+~P1(f317(f317(f319(x62981),x62982),f317(f162(x62981),x62983)))
% 92.29/92.09 [6328]~P1(f317(f317(f224(a897),x63281),x63283))+P1(f317(f317(f224(a897),x63281),f317(f317(f74(a897),x63282),x63283)))
% 92.29/92.09 [6329]~P1(f317(f317(f224(a897),x63291),x63293))+P1(f317(f317(f224(a897),x63291),f317(f317(f74(a897),x63292),x63293)))
% 92.29/92.09 [6330]~P1(f317(f317(f224(a897),x63301),x63302))+P1(f317(f317(f224(a897),x63301),f317(f317(f74(a897),x63302),x63303)))
% 92.29/92.09 [6331]~P1(f317(f317(f224(a897),x63311),x63312))+P1(f317(f317(f224(a897),x63311),f317(f317(f74(a897),x63312),x63313)))
% 92.29/92.09 [6332]~P1(f317(f317(f225(a897),x63321),x63323))+P1(f317(f317(f225(a897),x63321),f317(f317(f74(a897),x63322),x63323)))
% 92.29/92.09 [6333]~P1(f317(f317(f225(a897),x63331),x63333))+P1(f317(f317(f225(a897),x63331),f317(f317(f74(a897),x63332),x63333)))
% 92.29/92.09 [6334]~P1(f317(f317(f225(a897),x63341),x63342))+P1(f317(f317(f225(a897),x63341),f317(f317(f74(a897),x63342),x63343)))
% 92.29/92.09 [6335]~P1(f317(f317(f225(a897),x63351),x63352))+P1(f317(f317(f225(a897),x63351),f317(f317(f74(a897),x63352),x63353)))
% 92.29/92.09 [6375]P1(f317(f29(x63751),x63752))+~P1(f317(f29(x63751),f317(f317(f299(x63751),x63753),x63752)))
% 92.29/92.09 [6376]P1(f317(f127(x63761),x63762))+~P1(f317(f127(x63761),f317(f317(f141(x63761),x63763),x63762)))
% 92.29/92.09 [6377]P1(f317(f127(x63771),x63772))+~P1(f317(f127(x63771),f317(f317(f124(x63771),x63773),x63772)))
% 92.29/92.09 [6378]P1(f317(f127(x63781),x63782))+~P1(f317(f127(x63781),f317(f317(f124(x63781),x63782),x63783)))
% 92.29/92.09 [6432]~P119(x64321)+E(f317(f317(f74(x64321),x64322),f317(f317(f75(x64321),x64323),x64322)),f317(f317(f75(x64321),f317(f317(f74(x64321),x64323),f72(x64321))),x64322))
% 92.29/92.09 [6479]~E(x64791,x64792)+~P1(f317(f317(f225(f904(x64793,a893)),x64791),x64792))
% 92.29/92.09 [6524]P1(f317(f317(f319(x65241),x65242),x65243))+P1(f317(f317(f319(x65241),x65242),f317(f73(f904(x65241,a893)),x65243)))
% 92.29/92.09 [6525]P1(f317(f317(f319(x65251),x65252),x65253))+P1(f317(f317(f319(x65251),x65252),f317(f73(f904(x65251,a893)),x65253)))
% 92.29/92.09 [6531]E(f134(x65311,f317(f317(f128(x65311),x65312),x65313)),f134(x65311,x65313))+~P1(f317(f317(f225(a897),x65312),f317(f179(f898(x65311)),x65313)))
% 92.29/92.09 [6532]E(f317(f317(f165(x65321),x65322),f104(x65321,x65323)),f317(f317(f165(x65321),x65322),x65323))+~P1(f317(f317(f225(a897),x65322),f317(f179(f898(x65321)),x65323)))
% 92.29/92.09 [6592]E(f317(f317(f317(f173(f898(x65921),f898(x65921)),x65922),f157(x65921)),x65923),x65923)+~E(f41(a897,x65922,f317(f179(f898(x65921)),x65923)),f2(a897))
% 92.29/92.09 [6599]~P8(x65991,x65993,x65992)+E(f317(f317(f279(x65991,x65991,x65991),f317(f276(x65991,x65991),x65992)),x65992),x65992)
% 92.29/92.09 [6642]~E(f317(f317(f91(f904(x66421,a893)),x66422),x66423),x66423)+P1(f317(f317(f224(f904(x66421,a893)),x66422),x66423))
% 92.29/92.09 [6647]~P54(x66471,x66471,x66473)+P54(x66471,x66471,f317(f317(f173(f903(x66471,x66471),a893),x66472),x66473))
% 92.29/92.09 [6650]~P1(f317(f317(f319(x66501),x66503),f317(f162(x66501),x66502)))+P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x66501)),x66502)))
% 92.29/92.09 [6667]~E(x66672,x66673)+P1(f317(f317(f319(x66671),x66672),f317(f317(f299(x66671),x66673),f178(f904(x66671,a893)))))
% 92.29/92.09 [6678]~P85(x66781)+E(f317(f70(x66781),f317(f317(f74(x66781),f317(f70(x66781),x66782)),f317(f70(x66781),x66783))),f317(f317(f74(x66781),f317(f70(x66781),x66782)),f317(f70(x66781),x66783)))
% 92.29/92.09 [6689]E(f317(f317(f31(a897),f317(f317(f75(a897),x66891),x66892)),f317(f317(f75(a897),x66891),x66893)),f317(f317(f31(a897),x66892),x66893))+~P1(f317(f317(f225(a897),f2(a897)),x66891))
% 92.29/92.09 [6832]~P1(f317(f29(x68321),x68323))+E(f317(f317(f59(x68321,f904(x68321,a893),f299(x68321)),x68322),x68323),f317(f317(f91(f904(x68321,a893)),x68323),x68322))
% 92.29/92.09 [6891]E(f317(f317(f91(f904(x68911,a893)),x68912),x68913),x68912)+~P1(f317(f317(f224(f904(x68911,a893)),x68913),x68912))
% 92.29/92.09 [6892]E(f317(f317(f91(f904(x68921,a893)),x68922),x68923),x68923)+~P1(f317(f317(f224(f904(x68921,a893)),x68922),x68923))
% 92.29/92.09 [6893]E(f317(f317(f91(f904(x68931,a893)),x68932),x68933),x68933)+~P1(f317(f317(f224(f904(x68931,a893)),x68932),x68933))
% 92.29/92.09 [6894]E(f317(f317(f92(f904(x68941,a893)),x68942),x68943),x68943)+~P1(f317(f317(f224(f904(x68941,a893)),x68943),x68942))
% 92.29/92.09 [6895]E(f317(f317(f92(f904(x68951,a893)),x68952),x68953),x68952)+~P1(f317(f317(f224(f904(x68951,a893)),x68952),x68953))
% 92.29/92.09 [6944]~P1(f317(f127(x69441),x69442))+E(f317(f317(f23(f904(x69441,a893)),f317(f162(x69441),x69442)),f317(f317(f299(x69441),x69443),f178(f904(x69441,a893)))),f317(f162(x69441),f160(x69441,x69443,x69442)))
% 92.29/92.09 [7001]P36(x70011,x70012)+~P36(x70011,f317(f317(f173(f903(x70011,x70011),a893),x70013),x70012))
% 92.29/92.09 [7019]~E(x70191,f2(a897))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x70191),x70192)),f317(f317(f75(a897),x70191),x70193)))
% 92.29/92.09 [7070]P1(f317(f45(x70701,x70702),f317(a47,x70703)))+~P1(f317(f45(f317(f73(a1),x70701),f317(f73(a1),x70702)),x70703))
% 92.29/92.09 [7075]E(f317(f317(f23(f904(x70751,a893)),f317(f317(f299(x70751),x70752),x70753)),f317(f317(f299(x70751),x70752),f178(f904(x70751,a893)))),x70753)+P1(f317(f317(f319(x70751),x70752),x70753))
% 92.29/92.09 [7097]E(f317(f317(f92(f904(x70971,a893)),f317(f162(x70971),x70972)),f317(f162(x70971),x70973)),f178(f904(x70971,a893)))+~P1(f317(f127(x70971),f317(f317(f124(x70971),x70972),x70973)))
% 92.29/92.09 [7112]~P1(f317(f317(f319(x71121),x71122),f317(f162(x71121),x71123)))+~P1(f317(f127(x71121),f317(f317(f141(x71121),x71122),x71123)))
% 92.29/92.09 [7183]P30(x71831,x71832,x71833)+P1(f317(f317(f225(a897),f736(x71833,x71832,x71831)),f317(f179(f898(x71831)),x71833)))
% 92.29/92.09 [7193]E(f317(f317(f92(f904(x71931,a893)),x71932),x71933),f178(f904(x71931,a893)))+P1(f317(f317(f319(x71931),f422(x71933,x71932,x71931)),x71932))
% 92.29/92.09 [7194]E(f317(f317(f92(f904(x71941,a893)),x71942),x71943),f178(f904(x71941,a893)))+P1(f317(f317(f319(x71941),f434(x71943,x71942,x71941)),x71943))
% 92.29/92.09 [7197]E(f104(x71971,f317(f317(f165(x71971),x71972),x71973)),f317(f317(f165(x71971),f317(f317(f23(a897),x71972),f72(a897))),x71973))+~P1(f317(f317(f224(a897),x71972),f317(f179(f898(x71971)),x71973)))
% 92.29/92.09 [7257]~P32(x72573,x72572,x72571)+P1(f317(f317(f225(a897),f731(x72571,x72572,x72573)),f317(f179(f898(x72573)),x72571)))
% 92.29/92.09 [7277]P1(f317(f317(f225(a897),f2(a897)),x72771))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x72772),x72771)),f317(f317(f75(a897),x72773),x72771)))
% 92.29/92.09 [7278]P1(f317(f317(f225(a897),f2(a897)),x72781))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x72781),x72782)),f317(f317(f75(a897),x72781),x72783)))
% 92.29/92.09 [7279]~P1(f317(f317(f319(x72791),x72792),x72793))+~P1(f317(f317(f319(x72791),x72792),f317(f73(f904(x72791,a893)),x72793)))
% 92.29/92.09 [7280]~P1(f317(f317(f319(x72801),x72802),x72803))+~P1(f317(f317(f319(x72801),x72802),f317(f73(f904(x72801,a893)),x72803)))
% 92.29/92.09 [7281]~P1(f317(f317(f319(x72811),x72812),x72813))+~P1(f317(f317(f319(x72811),x72812),f317(f73(f904(x72811,a893)),x72813)))
% 92.29/92.09 [7285]~P1(f317(f317(f225(f904(x72851,a893)),x72852),x72853))+P1(f317(f317(f224(f904(x72851,a893)),x72852),x72853))
% 92.29/92.09 [7286]~P1(f317(f317(f225(f904(x72861,a893)),x72862),x72863))+P1(f317(f317(f224(f904(x72861,a893)),x72862),x72863))
% 92.29/92.09 [7287]~P1(f317(f317(f225(f904(x72871,a893)),x72872),x72873))+P1(f317(f317(f224(f904(x72871,a893)),x72872),x72873))
% 92.29/92.09 [7393]~P1(f317(f317(f224(a897),x73933),x73932))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x73931),x73932)),f317(f317(f23(a897),x73931),x73933)))
% 92.29/92.09 [7394]~P1(f317(f317(f224(a897),x73941),x73943))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x73941),x73942)),f317(f317(f23(a897),x73943),x73942)))
% 92.29/92.09 [7395]~P1(f317(f317(f224(a897),x73952),x73953))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x73951),x73952)),f317(f317(f74(a897),x73951),x73953)))
% 92.29/92.09 [7396]~P1(f317(f317(f224(a897),x73961),x73963))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x73961),x73962)),f317(f317(f74(a897),x73963),x73962)))
% 92.29/92.09 [7397]~P1(f317(f317(f224(a897),x73972),x73973))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x73971),x73972)),f317(f317(f75(a897),x73971),x73973)))
% 92.29/92.09 [7398]~P1(f317(f317(f224(a897),x73982),x73983))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x73981),x73982)),f317(f317(f75(a897),x73981),x73983)))
% 92.29/92.09 [7399]~P1(f317(f317(f224(a897),x73991),x73993))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x73991),x73992)),f317(f317(f75(a897),x73993),x73992)))
% 92.29/92.09 [7400]~P1(f317(f317(f224(a897),x74001),x74003))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x74001),x74002)),f317(f317(f75(a897),x74003),x74002)))
% 92.29/92.09 [7401]~P1(f317(f317(f224(a897),x74011),x74013))+P1(f317(f317(f224(a897),f317(f317(f31(a897),x74011),x74012)),f317(f317(f31(a897),x74013),x74012)))
% 92.29/92.09 [7402]~P1(f317(f317(f224(a1),x74022),x74023))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74021),x74022)),f317(f317(f74(a1),x74021),x74023)))
% 92.29/92.09 [7405]~P1(f317(f317(f225(a897),x74052),x74053))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x74051),x74052)),f317(f317(f74(a897),x74051),x74053)))
% 92.29/92.09 [7406]~P1(f317(f317(f225(a897),x74061),x74063))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x74061),x74062)),f317(f317(f74(a897),x74063),x74062)))
% 92.29/92.09 [7407]~P1(f317(f317(f225(a1),x74071),x74073))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74071),x74072)),f317(f317(f74(a1),x74073),x74072)))
% 92.29/92.09 [7410]~P1(f317(f317(f277(a897),x74102),x74103))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x74101),x74102)),f317(f317(f75(a897),x74101),x74103)))
% 92.29/92.09 [7487]E(x74871,x74872)+~P1(f317(f317(f319(x74873),x74871),f317(f317(f299(x74873),x74872),f178(f904(x74873,a893)))))
% 92.29/92.09 [7488]E(x74881,x74882)+~P1(f317(f317(f319(x74883),x74881),f317(f317(f299(x74883),x74882),f178(f904(x74883,a893)))))
% 92.29/92.09 [7490]~E(f317(f317(f92(f904(x74901,a893)),x74902),x74903),f178(f904(x74901,a893)))+P1(f317(f317(f224(f904(x74901,a893)),x74902),f317(f73(f904(x74901,a893)),x74903)))
% 92.29/92.09 [7494]P1(f317(f317(f319(f904(x74941,a893)),x74942),f317(f298(x74941),x74943)))+~P1(f317(f317(f224(f904(x74941,a893)),x74942),x74943))
% 92.29/92.09 [7495]P1(f317(f317(f319(f904(x74951,a893)),x74952),f317(f298(x74951),x74953)))+~P1(f317(f317(f224(f904(x74951,a893)),x74952),x74953))
% 92.29/92.09 [7546]E(f317(f317(f141(x75461),f317(f317(f154(x75461),x75462),x75463)),f317(f317(f128(x75461),f317(a102,x75463)),x75462)),f317(f317(f128(x75461),x75463),x75462))+~P1(f317(f317(f225(a897),x75463),f317(f179(f898(x75461)),x75462)))
% 92.29/92.09 [7571]P1(f317(f317(f319(f903(x75711,x75711)),x75712),f297(x75711,x75713)))+~P1(f317(f317(f319(f903(x75711,x75711)),x75712),x75713))
% 92.29/92.09 [7579]~P1(f317(f317(f319(f904(x75791,a893)),x75792),f317(f298(x75791),x75793)))+P1(f317(f317(f224(f904(x75791,a893)),x75792),x75793))
% 92.29/92.09 [7580]~P1(f317(f317(f319(f904(x75801,a893)),x75802),f317(f298(x75801),x75803)))+P1(f317(f317(f224(f904(x75801,a893)),x75802),x75803))
% 92.29/92.09 [7625]P1(f317(f317(f224(f904(x76251,a893)),x76252),f32(f904(x76251,a893),x76253)))+~P1(f317(f317(f319(f904(x76251,a893)),x76252),x76253))
% 92.29/92.09 [7650]~P140(x76501)+E(f317(f317(f75(x76501),f317(f317(f234(x76501),f317(f73(x76501),f72(x76501))),x76502)),f317(f317(f234(x76501),x76503),x76502)),f317(f317(f234(x76501),f317(f73(x76501),x76503)),x76502))
% 92.29/92.09 [7672]E(f317(f317(f154(x76721),x76722),f317(f317(f23(a897),f317(f179(f898(x76721)),x76722)),f317(a102,x76723))),f317(f317(f154(x76721),f317(f158(x76721),x76722)),x76723))+~P1(f317(f317(f225(a897),x76723),f317(f179(f898(x76721)),x76722)))
% 92.29/92.09 [7689]~E(f317(f317(f92(f904(x76891,a893)),f487(x76893,x76892,x76891)),x76893),f178(f904(x76891,a893)))+E(f317(f317(f92(f904(x76891,a893)),f32(f904(x76891,a893),x76892)),x76893),f178(f904(x76891,a893)))
% 92.29/92.09 [7753]~P1(f317(f317(f319(x77533),x77532),f317(f162(x77533),x77531)))+P1(f317(f317(f225(a897),f632(x77531,x77532,x77533)),f317(f179(f898(x77533)),x77531)))
% 92.29/92.09 [7761]P1(f317(f317(f319(x77611),f317(f317(f154(x77611),x77612),x77613)),f317(f162(x77611),x77612)))+~P1(f317(f317(f225(a897),x77613),f317(f179(f898(x77611)),x77612)))
% 92.29/92.09 [7859]~P1(f317(x78592,f696(x78593,x78592,x78591)))+E(f317(f317(f128(x78591),f317(f179(f898(x78591)),f167(x78591,x78592,x78593))),x78593),f103(x78591))
% 92.29/92.09 [7872]P1(f317(f317(f224(f904(f898(x78721),a893)),f151(x78721,x78722)),f151(x78721,x78723)))+~P1(f317(f317(f224(f904(x78721,a893)),x78722),x78723))
% 92.29/92.09 [7873]P1(f317(f317(f224(f904(f898(x78731),a893)),f150(x78731,x78732)),f150(x78731,x78733)))+~P1(f317(f317(f224(f904(x78731,a893)),x78732),x78733))
% 92.29/92.09 [7900]E(f317(f317(f92(f904(x79001,a893)),f32(f904(x79001,a893),x79002)),x79003),f178(f904(x79001,a893)))+P1(f317(f317(f319(f904(x79001,a893)),f487(x79003,x79002,x79001)),x79002))
% 92.29/92.09 [7902]~P1(f317(f317(f319(f904(x79021,a893)),x79023),x79022))+P1(f317(f317(f224(f904(x79021,a893)),f33(f904(x79021,a893),x79022)),x79023))
% 92.29/92.09 [7904]E(f317(f317(f92(f904(x79041,a893)),x79042),x79043),f178(f904(x79041,a893)))+~P1(f317(f317(f224(f904(x79041,a893)),x79042),f317(f73(f904(x79041,a893)),x79043)))
% 92.29/92.09 [7953]E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f155(a897),x79531)),x79532)),f317(f317(f154(a897),x79531),x79533)),f317(f155(a897),f317(f317(f149(a897,x79531),x79533),x79532)))+~P1(f317(f317(f225(a897),x79533),f317(f179(f898(a897)),x79531)))
% 92.29/92.09 [8004]P1(f317(f317(f224(a897),x80041),x80042))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x80043),x80041)),f317(f317(f74(a897),x80043),x80042)))
% 92.29/92.09 [8007]P1(f317(f317(f225(a897),x80071),x80072))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x80073),x80071)),f317(f317(f74(a897),x80073),x80072)))
% 92.29/92.09 [8008]P1(f317(f317(f225(a897),x80081),x80082))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80083),x80081)),f317(f317(f75(a897),x80083),x80082)))
% 92.29/92.09 [8009]P1(f317(f317(f225(a897),x80091),x80092))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80091),x80093)),f317(f317(f75(a897),x80092),x80093)))
% 92.29/92.09 [8038]P1(f317(f317(f225(a897),f2(a897)),x80381))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80382),x80381)),f317(f317(f75(a897),x80383),x80381)))
% 92.29/92.09 [8039]P1(f317(f317(f225(a897),f2(a897)),x80391))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80391),x80392)),f317(f317(f75(a897),x80391),x80393)))
% 92.29/92.09 [8112]E(f237(x81121,x81122,x81123),x81122)+~P1(f317(f317(f224(f904(x81121,a893)),x81123),f317(f317(f299(x81121),x81122),f178(f904(x81121,a893)))))
% 92.29/92.09 [8162]~P1(f317(f127(x81621),x81623))+E(f317(f126(x81621,f317(f317(f8(a893,a893,x81621),a312),f317(a314,x81622))),x81623),f160(x81621,x81622,x81623))
% 92.29/92.09 [8187]E(f317(f317(f128(x81871),f317(f179(f898(x81871)),f167(x81871,x81872,x81873))),x81873),f103(x81871))+P1(f317(f317(f319(x81871),f696(x81873,x81872,x81871)),f317(f162(x81871),x81873)))
% 92.29/92.09 [8191]E(f317(f317(f124(x81911),f317(f317(f165(x81911),x81912),x81913)),f317(f317(f141(x81911),f317(f317(f154(x81911),x81913),x81912)),f103(x81911))),f317(f317(f165(x81911),f317(a102,x81912)),x81913))+~P1(f317(f317(f225(a897),x81912),f317(f179(f898(x81911)),x81913)))
% 92.29/92.09 [8258]E(f317(f126(x82581,f317(f317(f8(a893,a893,x82581),a312),f317(a314,x82582))),x82583),x82583)+P1(f317(f317(f319(x82581),x82582),f317(f162(x82581),x82583)))
% 92.29/92.09 [8264]P1(f317(f317(f224(f904(f904(x82641,a893),a893)),f238(x82641,x82642)),f238(x82641,x82643)))+~P1(f317(f317(f224(f904(x82641,a893)),x82642),x82643))
% 92.29/92.09 [8303]~P1(f317(f127(x83031),x83033))+P1(f317(f127(x83031),f317(f317(f317(f173(f898(x83031),f898(x83031)),x83032),f157(x83031)),x83033)))
% 92.29/92.09 [8308]~P1(f317(f317(f224(a897),x83082),x83083))+P1(f317(f317(f224(a897),f317(f317(f75(a897),f317(a102,x83081)),x83082)),f317(f317(f75(a897),f317(a102,x83081)),x83083)))
% 92.29/92.09 [8309]~P1(f317(f317(f225(a897),x83092),x83093))+P1(f317(f317(f225(a897),f317(f317(f75(a897),f317(a102,x83091)),x83092)),f317(f317(f75(a897),f317(a102,x83091)),x83093)))
% 92.29/92.09 [8329]P1(f317(f317(f224(f904(f904(x83291,a893),a893)),f317(f298(x83291),x83292)),f317(f298(x83291),x83293)))+~P1(f317(f317(f224(f904(x83291,a893)),x83292),x83293))
% 92.29/92.09 [8399]~E(f317(f300(x83991,x83992,x83993),f232(f904(x83991,a893))),f232(f904(x83992,a893)))+E(f317(f67(x83991,x83992,x83992,x83993),f85(x83991,x83992,f232(f904(x83991,a893)),x83993)),f25(x83992))
% 92.29/92.09 [8492]~P1(f317(f317(f224(f904(x84921,a893)),x84923),x84922))+P1(f317(f317(f224(f904(x84921,a893)),f317(f73(f904(x84921,a893)),x84922)),f317(f73(f904(x84921,a893)),x84923)))
% 92.29/92.09 [8493]~P1(f317(f317(f224(f904(x84931,a893)),x84933),x84932))+P1(f317(f317(f224(f904(x84931,a893)),f317(f73(f904(x84931,a893)),x84932)),f317(f73(f904(x84931,a893)),x84933)))
% 92.29/92.09 [8527]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x85271)),f317(f292(a897,x85272),x85273)),f317(f292(a897,f317(f317(f23(a897),x85272),x85271)),f317(f317(f23(a897),x85273),x85271)))+~P1(f317(f317(f225(a897),x85271),x85273))
% 92.29/92.09 [8553]~P82(x85531)+E(f317(f317(f74(x85531),x85532),f317(f132(x85531,x85531,f74(x85531),f2(x85531)),x85533)),f317(f132(x85531,x85531,f74(x85531),x85532),x85533))
% 92.29/92.09 [8629]~P85(x86291)+P1(f317(f317(f224(x86291),f317(f70(x86291),f317(f317(f23(x86291),x86292),x86293))),f317(f317(f74(x86291),f317(f70(x86291),x86292)),f317(f70(x86291),x86293))))
% 92.29/92.09 [8630]~P85(x86301)+P1(f317(f317(f224(x86301),f317(f70(x86301),f317(f317(f74(x86301),x86302),x86303))),f317(f317(f74(x86301),f317(f70(x86301),x86302)),f317(f70(x86301),x86303))))
% 92.29/92.09 [8641]E(f317(f317(f74(a1),f317(f317(f75(a1),x86411),f41(a1,f317(f317(f31(a1),x86412),x86411),x86413))),f41(a1,x86412,x86411)),f41(a1,x86412,f317(f317(f75(a1),x86411),x86413)))+~P1(f317(f317(f225(a1),f2(a1)),x86413))
% 92.29/92.09 [8647]E(f317(f317(f124(x86471),f317(f317(f165(x86471),x86472),x86473)),f317(f317(f141(x86471),f317(f131(x86471),f317(f317(f128(x86471),x86472),x86473))),f103(x86471))),f317(f317(f165(x86471),f317(a102,x86472)),x86473))+~P1(f317(f317(f225(a897),x86472),f317(f179(f898(x86471)),x86473)))
% 92.29/92.09 [8667]E(f317(f258(x86671,f317(f317(f144(x86671,f903(a89,x86671)),f317(f242(a89,x86671),f72(a89))),x86672)),f317(a3,x86673)),f317(f317(f154(x86671),x86672),x86673))+~P1(f317(f317(f225(a897),x86673),f317(f179(f898(x86671)),x86672)))
% 92.29/92.09 [8735]P1(f317(f317(f319(f903(x87351,x87351)),x87352),f317(f317(f279(x87351,x87351,x87351),x87353),f297(x87351,x87353))))+~P1(f317(f317(f319(f903(x87351,x87351)),x87352),x87353))
% 92.29/92.09 [8746]E(f317(f300(x87461,x87462,x87463),f232(f904(x87461,a893))),f232(f904(x87462,a893)))+~E(f317(f67(x87461,x87462,x87462,x87463),f85(x87461,x87462,f232(f904(x87461,a893)),x87463)),f25(x87462))
% 92.29/92.09 [8755]P1(f317(f317(f224(a897),x87551),x87552))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),f317(a102,x87553)),x87551)),f317(f317(f75(a897),f317(a102,x87553)),x87552)))
% 92.29/92.09 [8756]P1(f317(f317(f225(a897),x87561),x87562))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),f317(a102,x87563)),x87561)),f317(f317(f75(a897),f317(a102,x87563)),x87562)))
% 92.29/92.09 [8771]P1(f317(f317(f224(f904(x87711,a893)),x87712),x87713))+~P1(f317(f317(f224(f904(x87711,a893)),f317(f73(f904(x87711,a893)),x87713)),f317(f73(f904(x87711,a893)),x87712)))
% 92.29/92.09 [8794]P1(f317(f127(x87941),x87942))+~P1(f317(f127(x87941),f317(f317(f317(f173(f898(x87941),f898(x87941)),x87943),f157(x87941)),x87942)))
% 92.29/92.09 [8867]E(f317(f275(x88671,x88671,f297(x88671,x88672)),x88673),x88673)+~P1(f317(f317(f224(f904(x88671,a893)),f317(f275(x88671,x88671,x88672),x88673)),x88673))
% 92.29/92.09 [8915]~P107(x89151)+P13(x89151,f317(f126(x89151,f317(f317(f7(x89151,x89151,a893),a314),f317(x89152,x89153))),x89153))
% 92.29/92.09 [8922]~P1(f317(f317(f224(a897),x89221),x89222))+P1(f317(f317(f224(a897),x89221),f317(f132(a897,a897,f74(a897),x89222),x89223)))
% 92.29/92.09 [9008]~P1(f317(f317(f319(f903(x90081,x90081)),x90082),f297(x90081,x90083)))+P1(f317(f317(f319(f903(x90081,x90081)),x90082),f317(f317(f173(f903(x90081,x90081),a893),f589(x90083,x90082,x90081)),x90083)))
% 92.29/92.09 [9089]~P82(x90891)+E(f317(f317(f74(x90891),x90892),f317(f132(x90891,x90891,f317(f7(x90891,x90891,x90891),f74(x90891)),f2(x90891)),f317(f158(x90891),x90893))),f317(f132(x90891,x90891,f74(x90891),x90892),x90893))
% 92.29/92.09 [9208]~P25(x92082,x92081,x92083,f232(f904(x92082,a893)),f232(f904(x92081,a893)))+E(f85(x92081,x92082,f232(f904(x92081,a893)),f85(x92082,x92081,f232(f904(x92082,a893)),x92083)),x92083)
% 92.29/92.09 [9363]P54(x93631,x93632,x93633)+P1(f317(f317(f319(f903(x93631,x93632)),f317(f317(f242(x93631,x93632),f584(x93633,x93632,x93631)),f564(x93633,x93632,x93631))),x93633))
% 92.29/92.09 [9364]P54(x93641,x93642,x93643)+P1(f317(f317(f319(f903(x93641,x93642)),f317(f317(f242(x93641,x93642),f584(x93643,x93642,x93641)),f563(x93643,x93642,x93641))),x93643))
% 92.29/92.09 [9435]~P1(f317(f317(f319(f903(x94351,x94351)),x94352),f317(f317(f279(x94351,x94351,x94351),x94353),f297(x94351,x94353))))+P1(f317(f317(f319(f903(x94351,x94351)),x94352),f317(f317(f173(f903(x94351,x94351),a893),f590(x94353,x94352,x94351)),x94353)))
% 92.29/92.09 [9436]~P1(f317(x94361,f317(f317(f154(x94362),x94363),f317(f179(f898(x94362)),f167(x94362,x94361,x94363)))))+~P1(f317(f317(f225(a897),f317(f179(f898(x94362)),f167(x94362,x94361,x94363))),f317(f179(f898(x94362)),x94363)))
% 92.29/92.09 [9527]~P1(f317(f317(f224(f904(x95271,a893)),x95272),x95273))+P1(f317(f317(f224(f904(x95271,a893)),f317(f317(f7(x95271,f904(x95271,a893),a893),f319(x95271)),x95272)),f317(f317(f7(x95271,f904(x95271,a893),a893),f319(x95271)),x95273)))
% 92.29/92.09 [9589]~P1(f317(f317(f319(f903(f904(x95891,a893),f904(x95891,a893))),f317(f317(f242(f904(x95891,a893),f904(x95891,a893)),x95892),x95893)),f304(x95891)))+P1(f317(f317(f225(f904(x95891,a893)),x95892),x95893))
% 92.29/92.09 [9617]P55(x96171,x96172,x96173)+~P1(f317(f317(f319(f903(x96171,x96171)),f317(f317(f242(x96171,x96171),f587(x96173,x96172,x96171)),f586(x96173,x96172,x96171))),x96173))
% 92.29/92.09 [9618]P55(x96181,x96182,x96183)+~P1(f317(f317(f319(f903(x96181,x96181)),f317(f317(f242(x96181,x96181),f586(x96183,x96182,x96181)),f587(x96183,x96182,x96181))),x96183))
% 92.29/92.09 [9655]~P1(f317(f317(f319(f903(f898(x96551),f898(x96551))),f317(f317(f242(f898(x96551),f898(x96551)),x96552),x96552)),f137(x96551,x96553)))+P1(f317(f317(f319(f903(x96551,x96551)),f317(f317(f242(x96551,x96551),f635(x96552,x96553,x96551)),f635(x96552,x96553,x96551))),x96553))
% 92.29/92.09 [9705]P1(f317(f317(f224(f904(x97051,a893)),x97052),x97053))+~P1(f317(f317(f224(f904(x97051,a893)),f317(f317(f7(x97051,f904(x97051,a893),a893),f319(x97051)),x97052)),f317(f317(f7(x97051,f904(x97051,a893),a893),f319(x97051)),x97053)))
% 92.29/92.09 [9786]E(f317(f317(f23(a897),f317(f317(f6(a897,a897),x97861),f317(f272(a897),x97862))),f317(f317(f6(a897,a897),x97863),f317(f272(a897),x97862))),f317(f317(f6(a897,a897),f317(f317(f18(a897,a897,a897),f317(f317(f8(a897,f904(a897,a897),a897),f23(a897)),x97861)),x97863)),f317(f272(a897),x97862)))+~P1(f317(f317(f224(a897),f317(x97863,f446(x97862,x97861,x97863))),f317(x97861,f446(x97862,x97861,x97863))))
% 92.29/92.09 [5710]~P75(x57101)+E(f317(f317(f23(x57101),f317(f317(f74(x57101),x57102),x57103)),x57103),x57102)
% 92.29/92.09 [5711]~P75(x57111)+E(f317(f317(f74(x57111),f317(f317(f23(x57111),x57112),x57113)),x57113),x57112)
% 92.29/92.09 [5945]~P75(x59451)+E(f317(f317(f74(x59451),x59452),f317(f317(f74(x59451),f317(f73(x59451),x59452)),x59453)),x59453)
% 92.29/92.09 [6034]~P81(x60341)+E(f317(f317(f75(x60341),f317(f317(f234(x60341),x60342),x60343)),x60342),f317(f317(f234(x60341),x60342),f317(a102,x60343)))
% 92.29/92.09 [6035]~P119(x60351)+E(f317(f317(f75(x60351),f317(f317(f234(x60351),x60352),x60353)),x60352),f317(f317(f234(x60351),x60352),f317(a102,x60353)))
% 92.29/92.09 [6259]~P126(x62591)+E(f317(f70(x62591),f317(f317(f234(x62591),f317(f73(x62591),x62592)),x62593)),f317(f70(x62591),f317(f317(f234(x62591),x62592),x62593)))
% 92.29/92.09 [6306]~P81(x63061)+E(f317(f317(f75(x63061),f317(f317(f234(x63061),x63062),x63063)),x63062),f317(f317(f75(x63061),x63062),f317(f317(f234(x63061),x63062),x63063)))
% 92.29/92.09 [6366]E(f317(f317(f23(a89),f317(f317(f74(a89),x63661),x63662)),x63663),f264(x63661,x63662,x63663))+~P1(f317(f317(f225(a89),x63662),x63663))
% 92.29/92.09 [6391]~E(f317(f317(f128(x63911),x63913),x63912),f103(x63911))+P1(f317(f317(f224(a897),f317(f179(f898(x63911)),x63912)),x63913))
% 92.29/92.09 [6530]E(f317(f317(f75(a897),f317(f94(a897),x65301)),f317(f317(f75(a897),f317(f94(a897),x65302)),x65303)),f2(a897))+~P1(f317(f317(f225(a1),x65301),a77))
% 92.29/92.09 [6546]~P61(x65461)+E(f317(f317(f234(x65461),f317(f317(f281(x65461),f72(x65461)),x65462)),x65463),f317(f317(f281(x65461),f72(x65461)),f317(f317(f234(x65461),x65462),x65463)))
% 92.29/92.09 [6628]E(f317(f317(f23(a897),f317(f317(f74(a897),x66281),x66282)),x66283),f317(f317(f23(a897),x66281),f317(f317(f23(a897),x66283),x66282)))+~P1(f317(f317(f224(a897),x66282),x66283))
% 92.29/92.09 [6629]E(f317(f317(f23(a897),f317(f317(f74(a897),x66291),x66292)),x66293),f317(f317(f74(a897),x66291),f317(f317(f23(a897),x66292),x66293)))+~P1(f317(f317(f224(a897),x66293),x66292))
% 92.29/92.09 [6630]E(f317(f317(f23(a897),f317(f317(f74(a897),x66301),x66302)),x66303),f317(f317(f74(a897),x66301),f317(f317(f23(a897),x66302),x66303)))+~P1(f317(f317(f224(a897),x66303),x66302))
% 92.29/92.09 [6669]~P107(x66691)+P1(f317(f317(f224(x66691),f317(f317(f228(x66691),x66692),x66693)),x66693))
% 92.29/92.09 [6670]~P107(x66701)+P1(f317(f317(f224(x66701),f317(f317(f228(x66701),x66702),x66703)),x66702))
% 92.29/92.09 [6671]~P99(x66711)+P1(f317(f317(f224(x66711),f317(f317(f92(x66711),x66712),x66713)),x66713))
% 92.29/92.09 [6672]~P104(x66721)+P1(f317(f317(f224(x66721),f317(f317(f92(x66721),x66722),x66723)),x66723))
% 92.29/92.09 [6673]~P99(x66731)+P1(f317(f317(f224(x66731),f317(f317(f92(x66731),x66732),x66733)),x66732))
% 92.29/92.09 [6674]~P104(x66741)+P1(f317(f317(f224(x66741),f317(f317(f92(x66741),x66742),x66743)),x66742))
% 92.29/92.09 [6688]E(f317(f317(f31(a1),f317(f317(f31(a1),x66881),x66882)),x66883),f317(f317(f31(a1),x66881),f317(f317(f75(a1),x66882),x66883)))+~P1(f317(f317(f225(a1),f2(a1)),x66883))
% 92.29/92.09 [6742]~P119(x67421)+E(f317(f317(f74(x67421),f317(f317(f75(x67421),x67422),x67423)),x67423),f317(f317(f75(x67421),f317(f317(f74(x67421),x67422),f72(x67421))),x67423))
% 92.29/92.09 [6743]~P94(x67431)+E(f317(f317(f75(x67431),f317(f73(x67431),f317(f94(x67431),x67432))),x67433),f317(f317(f75(x67431),f317(f94(x67431),f317(f73(a1),x67432))),x67433))
% 92.29/92.09 [6816]~P82(x68161)+E(f317(f155(x68161),f317(f317(f144(x68162,x68161),f317(f16(x68161,x68162),f2(x68161))),x68163)),f2(x68161))
% 92.29/92.09 [6834]E(f317(f317(f74(a897),f317(f94(a897),x68341)),f317(f317(f74(a897),f317(f94(a897),x68342)),x68343)),f317(f317(f74(a897),f317(f94(a897),x68342)),x68343))+~P1(f317(a183,f317(f94(a1),x68341)))
% 92.29/92.09 [6849]~P5(x68491)+E(f33(x68491,f317(f317(f299(x68491),x68492),f317(f317(f299(x68491),x68493),f178(f904(x68491,a893))))),f317(f317(f92(x68491),x68492),x68493))
% 92.29/92.09 [6850]~P5(x68501)+E(f32(x68501,f317(f317(f299(x68501),x68502),f317(f317(f299(x68501),x68503),f178(f904(x68501,a893))))),f317(f317(f91(x68501),x68502),x68503))
% 92.29/92.09 [6874]E(f317(f317(f165(x68741),x68742),x68743),x68743)+~P1(f317(f317(f224(a897),f317(f179(f898(x68741)),x68743)),x68742))
% 92.29/92.09 [6885]E(f317(f317(f128(x68851),x68852),x68853),f103(x68851))+~P1(f317(f317(f224(a897),f317(f179(f898(x68851)),x68853)),x68852))
% 92.29/92.09 [6886]E(f317(f317(f128(x68861),x68862),x68863),f103(x68861))+~P1(f317(f317(f224(a897),f317(f179(f898(x68861)),x68863)),x68862))
% 92.29/92.09 [6896]E(f317(f317(f74(a897),f317(f317(f23(a897),x68961),x68962)),x68963),f317(f317(f23(a897),f317(f317(f74(a897),x68961),x68963)),x68962))+~P1(f317(f317(f224(a897),x68962),x68961))
% 92.29/92.09 [6897]E(f317(f317(f74(a897),f317(f317(f23(a897),x68971),x68972)),x68973),f317(f317(f23(a897),f317(f317(f74(a897),x68971),x68973)),x68972))+~P1(f317(f317(f224(a897),x68972),x68971))
% 92.29/92.09 [6911]~P1(f317(f317(f225(a897),x69111),x69113))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x69111),x69112)),x69113))
% 92.29/92.09 [6938]~P107(x69381)+E(f160(x69381,x69382,f317(f317(f138(x69381,x69381,f5(x69381)),x69382),x69383)),x69383)
% 92.29/92.09 [7032]E(f317(f317(f23(a897),f317(f317(f74(a897),x70321),x70322)),f317(a102,x70323)),f317(f317(f23(a897),x70321),f317(a102,f317(f317(f23(a897),x70323),x70322))))+~P1(f317(f317(f224(a897),x70322),x70323))
% 92.29/92.09 [7033]~P126(x70331)+P1(f317(f317(f224(x70331),f2(x70331)),f317(f317(f234(x70331),f317(f70(x70331),x70332)),x70333)))
% 92.29/92.09 [7124]~P1(f317(f29(x71241),x71242))+P1(f317(f29(x71241),f317(f317(f23(f904(x71241,a893)),x71242),x71243)))
% 92.29/92.09 [7125]~P1(f317(f29(x71251),x71253))+P1(f317(f29(x71251),f317(f317(f92(f904(x71251,a893)),x71252),x71253)))
% 92.29/92.09 [7126]~P1(f317(f29(x71261),x71262))+P1(f317(f29(x71261),f317(f317(f92(f904(x71261,a893)),x71262),x71263)))
% 92.29/92.09 [7267]~P36(x72671,x72673)+P36(x72671,f317(f317(f92(f904(f903(x72671,x72671),a893)),x72672),x72673))
% 92.29/92.09 [7268]~P36(x72681,x72682)+P36(x72681,f317(f317(f92(f904(f903(x72681,x72681),a893)),x72682),x72683))
% 92.29/92.09 [7389]~P107(x73891)+E(f14(x73891,f317(f162(x73891),f317(f317(f141(x73891),x73892),x73893))),f317(f132(x73891,x73891,f228(x73891),x73892),x73893))
% 92.29/92.09 [7390]~P107(x73901)+E(f15(x73901,f317(f162(x73901),f317(f317(f141(x73901),x73902),x73903))),f317(f132(x73901,x73901,f223(x73901),x73902),x73903))
% 92.29/92.09 [7391]~P99(x73911)+E(f13(x73911,f317(f162(x73911),f317(f317(f141(x73911),x73912),x73913))),f317(f132(x73911,x73911,f91(x73911),x73912),x73913))
% 92.29/92.09 [7392]~P99(x73921)+E(f10(x73921,f317(f162(x73921),f317(f317(f141(x73921),x73922),x73923))),f317(f132(x73921,x73921,f92(x73921),x73922),x73923))
% 92.29/92.09 [7456]~P1(f317(f29(x74561),x74562))+P1(f317(f317(f224(a897),f317(f30(x74561),x74562)),f317(f30(x74561),f317(f317(f299(x74561),x74563),x74562))))
% 92.29/92.09 [7463]E(f317(f317(f91(f904(a897,a893)),f317(f292(a897,x74631),x74632)),f317(f292(a897,x74632),f317(f317(f74(a897),x74632),x74633))),f317(f292(a897,x74631),f317(f317(f74(a897),x74632),x74633)))+~P1(f317(f317(f224(a897),x74631),x74632))
% 92.29/92.09 [7470]P1(f317(f317(f224(a897),x74701),x74702))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74703),x74701)),x74702))
% 92.29/92.09 [7471]P1(f317(f317(f224(a897),x74711),x74712))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74711),x74713)),x74712))
% 92.29/92.09 [7472]P1(f317(f317(f224(a897),x74721),x74722))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74723),x74721)),x74722))
% 92.29/92.09 [7473]P1(f317(f317(f224(a897),x74731),x74732))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74731),x74733)),x74732))
% 92.29/92.09 [7474]P1(f317(f317(f225(a897),x74741),x74742))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x74741),x74743)),x74742))
% 92.29/92.09 [7514]~P107(x75141)+E(f11(x75141,f228(x75141),f317(f162(x75141),f317(f317(f141(x75141),x75142),x75143))),f317(f132(x75141,x75141,f228(x75141),x75142),x75143))
% 92.29/92.09 [7515]~P107(x75151)+E(f12(x75151,f223(x75151),f317(f162(x75151),f317(f317(f141(x75151),x75152),x75153))),f317(f132(x75151,x75151,f223(x75151),x75152),x75153))
% 92.29/92.09 [7519]~E(x75192,f178(f904(f903(x75191,x75191),a893)))+P1(f317(f317(f224(f904(f903(x75191,x75191),a893)),x75192),x75193))
% 92.29/92.09 [7618]E(f317(f317(f91(f904(x76181,a893)),x76182),f317(f317(f23(f904(x76181,a893)),x76183),x76182)),x76183)+~P1(f317(f317(f224(f904(x76181,a893)),x76182),x76183))
% 92.29/92.09 [7621]~P1(f317(f317(f224(a897),x76211),f317(f317(f74(a897),x76213),x76212)))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x76211),x76212)),x76213))
% 92.29/92.09 [7622]~P1(f317(f317(f225(a897),x76221),f317(f317(f23(a897),x76223),x76222)))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x76221),x76222)),x76223))
% 92.29/92.09 [7679]E(x76791,f103(x76792))+E(f317(f131(x76792),f317(f317(f317(f173(f898(x76792),f898(x76792)),x76793),f157(x76792)),x76791)),f317(f317(f154(x76792),x76791),f41(a897,x76793,f317(f179(f898(x76792)),x76791))))
% 92.29/92.09 [7688]E(f317(f317(f299(x76881),x76882),f317(f317(f23(f904(x76881,a893)),x76883),f317(f317(f299(x76881),x76882),f178(f904(x76881,a893))))),x76883)+~P1(f317(f317(f319(x76881),x76882),x76883))
% 92.29/92.09 [7850]P1(f317(f317(f224(a897),x78501),f317(f317(f74(a897),x78502),x78503)))+~P1(f317(f317(f224(a897),f317(f317(f23(a897),x78501),x78503)),x78502))
% 92.29/92.09 [7851]P1(f317(f317(f225(a897),x78511),f317(f317(f23(a897),x78512),x78513)))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x78511),x78513)),x78512))
% 92.29/92.09 [7877]P1(f317(f29(x78771),x78772))+~P1(f317(f29(x78771),f317(f317(f91(f904(x78771,a893)),x78773),x78772)))
% 92.29/92.09 [7878]P1(f317(f29(x78781),x78782))+~P1(f317(f29(x78781),f317(f317(f91(f904(x78781,a893)),x78782),x78783)))
% 92.29/92.09 [7952]~P45(x79521,x79523)+P1(f317(f317(f319(f903(x79521,x79521)),f317(f317(f242(x79521,x79521),x79522),x79522)),x79523))
% 92.29/92.09 [8085]E(f317(f317(f154(a897),f129(a897,f317(f292(a897,x80851),x80852))),x80853),f317(f317(f74(a897),x80851),x80853))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x80851),x80853)),x80852))
% 92.29/92.09 [8151]E(f317(f317(f165(a897),x81511),f129(a897,f317(f292(a897,x81512),x81513))),f129(a897,f317(f292(a897,x81512),f317(f317(f74(a897),x81512),x81511))))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x81512),x81511)),x81513))
% 92.29/92.09 [8208]~P94(x82081)+E(f317(f317(f234(x82081),x82082),f317(f94(a897),f317(f317(f74(a1),x82083),x82083))),f317(f317(f80(x82081,x82081),f317(f317(f234(x82081),x82082),f317(f94(a897),x82083))),f317(f317(f18(x82081,x82081,x82081),f75(x82081)),f5(x82081))))
% 92.29/92.09 [8474]E(f317(f317(f124(x84741),f317(f317(f165(x84741),x84742),x84743)),f317(f317(f141(x84741),f317(f317(f154(x84741),x84743),x84742)),f317(f317(f128(x84741),f317(a102,x84742)),x84743))),x84743)+~P1(f317(f317(f225(a897),x84742),f317(f179(f898(x84741)),x84743)))
% 92.29/92.09 [8481]P1(f317(f317(f224(f904(x84811,a893)),f305(x84811,x84812)),f305(x84811,x84813)))+~P1(f317(f317(f224(f904(x84811,f904(x84811,a893))),x84813),x84812))
% 92.29/92.09 [8482]~P55(x84821,x84822,x84823)+P55(x84821,x84822,f317(f317(f23(f904(f903(x84821,x84821),a893)),x84823),f297(x84821,f178(f904(f903(x84821,x84821),a893)))))
% 92.29/92.09 [8501]P1(f317(f317(f224(f904(x85011,a893)),f306(x85011,x85012)),f306(x85011,x85013)))+~P1(f317(f317(f224(f904(f903(x85011,x85011),a893)),x85013),x85012))
% 92.29/92.09 [8508]~P125(x85081)+P1(f317(f317(f224(x85081),f2(x85081)),f317(f317(f74(x85081),f317(f317(f75(x85081),x85082),x85082)),f317(f317(f75(x85081),x85083),x85083))))
% 92.29/92.09 [8537]~P94(x85371)+E(f317(f317(f234(x85371),f317(f94(x85371),x85372)),f317(f94(a897),f317(f317(f74(a1),x85373),x85373))),f317(f317(f80(x85371,x85371),f317(f317(f234(x85371),f317(f94(x85371),x85372)),f317(f94(a897),x85373))),f317(f317(f18(x85371,x85371,x85371),f75(x85371)),f5(x85371))))
% 92.29/92.09 [8542]P1(f317(f317(f224(f904(x85421,a893)),f317(f271(x85421),x85422)),f317(f271(x85421),x85423)))+~P1(f317(f317(f224(f904(f903(x85421,x85421),a893)),x85422),x85423))
% 92.29/92.09 [8571]~P53(x85711,x85712)+~P1(f317(f317(f319(f903(x85711,x85711)),f317(f317(f242(x85711,x85711),x85713),x85713)),x85712))
% 92.29/92.09 [8572]~P36(x85721,x85722)+~P1(f317(f317(f319(f903(x85721,x85721)),f317(f317(f242(x85721,x85721),x85723),x85723)),x85722))
% 92.29/92.09 [8573]~P36(x85731,x85732)+~P1(f317(f317(f319(f903(x85731,x85731)),f317(f317(f242(x85731,x85731),x85733),x85733)),x85732))
% 92.29/92.09 [8613]~E(x86132,x86133)+P1(f317(f317(f319(f903(x86131,x86131)),f317(f317(f242(x86131,x86131),x86132),x86133)),f297(x86131,f178(f904(f903(x86131,x86131),a893)))))
% 92.29/92.09 [8631]P1(f317(f317(f224(f904(x86311,a893)),f33(f904(x86311,a893),x86312)),f33(f904(x86311,a893),x86313)))+~P1(f317(f317(f224(f904(f904(x86311,a893),a893)),x86313),x86312))
% 92.29/92.09 [8632]P1(f317(f317(f224(f904(x86321,a893)),f32(f904(x86321,a893),x86322)),f32(f904(x86321,a893),x86323)))+~P1(f317(f317(f224(f904(f904(x86321,a893),a893)),x86322),x86323))
% 92.29/92.09 [8686]~P8(x86861,x86863,x86862)+P1(f317(f317(f224(f904(f903(x86861,x86861),a893)),x86862),f317(f317(f244(x86861,x86861),x86863),f317(f16(f904(x86861,a893),x86861),x86863))))
% 92.29/92.09 [8687]~P52(x86871,x86873,x86872)+P1(f317(f317(f224(f904(f903(x86871,x86871),a893)),x86872),f317(f317(f244(x86871,x86871),x86873),f317(f16(f904(x86871,a893),x86871),x86873))))
% 92.29/92.09 [8736]~P85(x87361)+P1(f317(f317(f224(x87361),f317(f317(f23(x87361),f317(f70(x87361),x87362)),f317(f70(x87361),x87363))),f317(f70(x87361),f317(f317(f23(x87361),x87363),x87362))))
% 92.29/92.09 [8737]~P85(x87371)+P1(f317(f317(f224(x87371),f317(f317(f23(x87371),f317(f70(x87371),x87372)),f317(f70(x87371),x87373))),f317(f70(x87371),f317(f317(f23(x87371),x87372),x87373))))
% 92.29/92.09 [8769]P1(f317(f317(f224(f904(f903(x87691,x87691),a893)),f297(x87691,x87692)),f297(x87691,x87693)))+~P1(f317(f317(f224(f904(f903(x87691,x87691),a893)),x87692),x87693))
% 92.29/92.09 [8879]~P24(x88792,x88791,x88793,f232(f904(x88792,a893)))+E(f317(f67(x88791,x88792,x88792,f85(x88792,x88791,f232(f904(x88792,a893)),x88793)),x88793),f25(x88792))
% 92.29/92.09 [8880]~P24(x88802,x88801,x88803,f232(f904(x88802,a893)))+E(f317(f67(x88801,x88802,x88802,f85(x88802,x88801,f232(f904(x88802,a893)),x88803)),x88803),f25(x88802))
% 92.29/92.09 [8940]P55(x89401,x89402,x89403)+~P55(x89401,x89402,f317(f317(f23(f904(f903(x89401,x89401),a893)),x89403),f297(x89401,f178(f904(f903(x89401,x89401),a893)))))
% 92.29/92.09 [8960]P1(f317(f317(f224(f904(f903(f898(x89601),f898(x89601)),a893)),f147(x89601,x89602)),f147(x89601,x89603)))+~P1(f317(f317(f224(f904(f903(x89601,x89601),a893)),x89602),x89603))
% 92.29/92.09 [8961]P1(f317(f317(f224(f904(f903(f898(x89611),f898(x89611)),a893)),f148(x89611,x89612)),f148(x89611,x89613)))+~P1(f317(f317(f224(f904(f903(x89611,x89611),a893)),x89612),x89613))
% 92.29/92.09 [8982]~P52(x89821,x89823,x89822)+P1(f317(f317(f224(f904(f903(x89821,x89821),a893)),x89822),f317(f317(f279(x89821,x89821,x89821),f317(f276(x89821,x89821),x89822)),x89822)))
% 92.29/92.09 [9017]~P1(f317(f127(x90171),x90173))+P1(f317(f127(x90171),f317(f317(f128(x90171),f317(f179(f898(x90171)),f167(x90171,x90172,x90173))),x90173)))
% 92.29/92.09 [9034]~P1(f317(f127(x90341),x90342))+E(f317(f126(x90341,f317(f317(f7(x90341,f904(x90341,a893),a893),f319(x90341)),f317(f162(x90341),f166(x90341,x90342,x90343)))),x90342),f166(x90341,x90342,x90343))
% 92.29/92.09 [9087]E(x90871,x90872)+~P1(f317(f317(f319(f903(x90873,x90873)),f317(f317(f242(x90873,x90873),x90871),x90872)),f297(x90873,f178(f904(f903(x90873,x90873),a893)))))
% 92.29/92.09 [9171]P1(f317(f317(f319(x91711),x91712),f306(x91711,x91713)))+P1(f317(f317(f319(f903(x91711,x91711)),f317(f317(f242(x91711,x91711),f457(x91713,x91712,x91711)),x91712)),x91713))
% 92.29/92.09 [9172]P1(f317(f317(f319(x91721),x91722),f306(x91721,x91723)))+P1(f317(f317(f319(f903(x91721,x91721)),f317(f317(f242(x91721,x91721),f567(x91723,x91722,x91721)),x91722)),x91723))
% 92.29/92.09 [9173]P1(f317(f317(f319(x91731),x91732),f306(x91731,x91733)))+P1(f317(f317(f319(f903(x91731,x91731)),f317(f317(f242(x91731,x91731),f569(x91733,x91732,x91731)),x91732)),x91733))
% 92.29/92.09 [9209]P24(x92091,x92092,x92093,f232(f904(x92091,a893)))+~E(f317(f67(x92092,x92091,x92091,f85(x92091,x92092,f232(f904(x92091,a893)),x92093)),x92093),f25(x92091))
% 92.29/92.09 [9262]~P1(f317(f317(f319(f898(x92621)),x92623),f151(x92621,x92622)))+P1(f317(f150(x92621,f317(f317(f7(x92621,f904(x92621,a893),a893),f319(x92621)),x92622)),x92623))
% 92.29/92.09 [9285]P1(f317(x92853,x92852))+E(f317(f252(x92851),f317(f317(f18(x92851,a893,a893),f317(f317(f8(a893,f904(a893,a893),x92851),a315),f317(a314,x92852))),x92853)),f178(f904(x92851,a893)))
% 92.29/92.09 [9302]~P85(x93021)+P1(f317(f317(f224(x93021),f317(f70(x93021),f317(f317(f23(x93021),f317(f70(x93021),x93022)),f317(f70(x93021),x93023)))),f317(f70(x93021),f317(f317(f23(x93021),x93022),x93023))))
% 92.29/92.09 [9316]~P1(f317(x93163,x93162))+E(f317(f252(x93161),f317(f317(f18(x93161,a893,a893),f317(f317(f8(a893,f904(a893,a893),x93161),a315),f317(a314,x93162))),x93163)),f317(f317(f299(x93161),x93162),f178(f904(x93161,a893))))
% 92.29/92.09 [9325]~P1(f317(f317(f319(f904(x93251,a893)),x93253),f317(f298(x93251),x93252)))+P1(f317(f238(x93251,f317(f317(f7(x93251,f904(x93251,a893),a893),f319(x93251)),x93252)),x93253))
% 92.29/92.09 [9362]P36(x93621,x93622)+P1(f317(f317(f319(f903(x93621,x93621)),f317(f317(f242(x93621,x93621),f317(f534(x93622,x93621),f317(a102,x93623))),f317(f534(x93622,x93621),x93623))),x93622))
% 92.29/92.09 [9460]~P1(f317(f127(x94601),x94603))+P1(f317(f127(x94601),f317(f126(x94601,f317(f317(f8(a893,a893,x94601),a312),f317(a314,x94602))),x94603)))
% 92.29/92.09 [9504]P1(f317(f317(f319(f898(x95041)),x95042),f151(x95041,x95043)))+~P1(f317(f150(x95041,f317(f317(f7(x95041,f904(x95041,a893),a893),f319(x95041)),x95043)),x95042))
% 92.29/92.09 [9519]P1(f317(f317(f319(f904(x95191,a893)),x95192),f317(f298(x95191),x95193)))+~P1(f317(f238(x95191,f317(f317(f7(x95191,f904(x95191,a893),a893),f319(x95191)),x95193)),x95192))
% 92.29/92.09 [9584]P1(f317(f317(f319(x95841),f317(f258(x95841,x95842),x95843)),f317(f162(x95841),f317(f317(f144(f903(a89,x95841),x95841),f246(a89,x95841)),x95842))))+~P1(f317(f317(f225(a89),x95843),f317(f155(a89),f317(f317(f144(f903(a89,x95841),a89),f241(a89,x95841)),x95842))))
% 92.29/92.09 [9634]P1(f317(f317(f224(f904(f903(f898(x96341),f898(x96341)),a893)),f148(x96341,x96342)),f317(f317(f244(f898(x96341),f898(x96341)),f151(x96341,x96343)),f317(f16(f904(f898(x96341),a893),f898(x96341)),f151(x96341,x96343)))))+~P1(f317(f317(f224(f904(f903(x96341,x96341),a893)),x96342),f317(f317(f244(x96341,x96341),x96343),f317(f16(f904(x96341,a893),x96341),x96343))))
% 92.29/92.09 [9658]P1(f317(f317(f319(x96581),f317(f241(x96581,f903(a89,a89)),f317(f256(x96581,x96582),x96583))),f317(f162(x96581),f317(f317(f144(f903(a89,x96581),x96581),f246(a89,x96581)),x96582))))+~P1(f317(f317(f225(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f903(a89,x96581),a89),f241(a89,x96581)),x96582))))
% 92.29/92.09 [9673]~P1(f317(f317(f224(f904(f903(x96731,x96731),a893)),x96732),f317(f317(f244(x96731,x96731),x96733),f317(f16(f904(x96731,a893),x96731),x96733))))+P1(f317(f317(f224(f904(f903(x96731,x96731),a893)),f317(f317(f279(x96731,x96731,x96731),x96732),f297(x96731,x96732))),f317(f317(f244(x96731,x96731),x96733),f317(f16(f904(x96731,a893),x96731),x96733))))
% 92.29/92.09 [9971]~P36(x99711,x99712)+~P1(f317(f317(f319(f903(x99711,x99711)),f317(f317(f242(x99711,x99711),f317(x99713,f317(a102,f535(x99712,x99711,x99713)))),f317(x99713,f535(x99712,x99711,x99713)))),x99712))
% 92.29/92.09 [9972]~P36(x99721,x99722)+~P1(f317(f317(f319(f903(x99721,x99721)),f317(f317(f242(x99721,x99721),f317(x99723,f317(a102,f581(x99723,x99722,x99721)))),f317(x99723,f581(x99723,x99722,x99721)))),x99722))
% 92.29/92.09 [10227]P1(f317(f317(f224(f904(f903(f904(x102271,a893),f904(x102271,a893)),a893)),f317(f317(f279(f904(x102271,a893),f904(x102271,a893),f904(x102271,a893)),f308(x102271,x102272)),f317(f317(f91(f904(f903(f904(x102271,a893),f904(x102271,a893)),a893)),f308(x102271,x102273)),f317(f317(f299(f903(f904(x102271,a893),f904(x102271,a893))),f317(f317(f242(f904(x102271,a893),f904(x102271,a893)),f178(f904(x102271,a893))),f178(f904(x102271,a893)))),f178(f904(f903(f904(x102271,a893),f904(x102271,a893)),a893)))))),f308(x102271,x102272)))+~P1(f317(f317(f224(f904(f903(x102271,x102271),a893)),f317(f317(f279(x102271,x102271,x102271),x102272),x102273)),x102272))
% 92.29/92.09 [10228]P1(f317(f317(f224(f904(f903(f904(x102281,a893),f904(x102281,a893)),a893)),f317(f317(f279(f904(x102281,a893),f904(x102281,a893),f904(x102281,a893)),f309(x102281,x102282)),f317(f317(f91(f904(f903(f904(x102281,a893),f904(x102281,a893)),a893)),f309(x102281,x102283)),f317(f317(f299(f903(f904(x102281,a893),f904(x102281,a893))),f317(f317(f242(f904(x102281,a893),f904(x102281,a893)),f178(f904(x102281,a893))),f178(f904(x102281,a893)))),f178(f904(f903(f904(x102281,a893),f904(x102281,a893)),a893)))))),f309(x102281,x102282)))+~P1(f317(f317(f224(f904(f903(x102281,x102281),a893)),f317(f317(f279(x102281,x102281,x102281),x102282),x102283)),x102282))
% 92.29/92.09 [7388]~P1(f317(f317(f224(a897),x73882),x73881))+E(f317(f317(f23(a897),f317(a102,f317(f317(f23(a897),x73881),x73882))),x73883),f317(f317(f23(a897),f317(a102,x73881)),f317(f317(f74(a897),x73882),x73883)))
% 92.29/92.09 [7428]~P3(x74281)+E(f317(f317(f74(x74281),f41(x74281,x74282,x74283)),f317(f317(f75(x74281),f317(f317(f31(x74281),x74282),x74283)),x74283)),x74282)
% 92.29/92.09 [7626]E(f317(f317(f75(a897),f317(f94(a897),x76261)),f317(f317(f75(a897),f317(f94(a897),x76262)),x76263)),f317(f317(f75(a897),f317(f94(a897),f317(f317(f75(a1),x76261),x76262))),x76263))+P1(f317(f317(f225(a1),x76261),a77))
% 92.29/92.09 [8094]~P1(f317(f317(f224(a897),x80943),x80942))+P1(f317(f317(f224(a897),x80941),f317(f317(f23(a897),f317(f317(f74(a897),x80942),x80941)),x80943)))
% 92.29/92.09 [8294]~P1(f317(f317(f224(a897),x82941),x82942))+E(f317(f317(f124(a897),f129(a897,f317(f292(a897,x82941),x82942))),f129(a897,f317(f292(a897,x82942),f317(f317(f74(a897),x82942),x82943)))),f129(a897,f317(f292(a897,x82941),f317(f317(f74(a897),x82942),x82943))))
% 92.29/92.09 [8550]~P1(f317(f29(x85501),x85502))+E(f317(a102,f317(f30(x85501),f317(f317(f23(f904(x85501,a893)),x85502),f317(f317(f299(x85501),x85503),f178(f904(x85501,a893)))))),f317(f30(x85501),f317(f317(f299(x85501),x85503),x85502)))
% 92.29/92.09 [8589]~P1(f317(f29(x85891),x85892))+E(f317(f317(f74(a897),f72(a897)),f317(f30(x85891),f317(f317(f23(f904(x85891,a893)),x85892),f317(f317(f299(x85891),x85893),f178(f904(x85891,a893)))))),f317(f30(x85891),f317(f317(f299(x85891),x85893),x85892)))
% 92.29/92.09 [8778]E(f317(f317(f23(a897),f317(f30(x87781),x87782)),f317(f30(x87781),f317(f317(f92(f904(x87781,a893)),x87782),x87783))),f317(f30(x87781),f317(f317(f23(f904(x87781,a893)),x87782),x87783)))+~P1(f317(f29(x87781),f317(f317(f92(f904(x87781,a893)),x87782),x87783)))
% 92.29/92.09 [9029]~P6(f317(x90292,f878(x90292,x90293,x90291)))+E(f317(f90(a1),f317(f317(f9(x90291,a897),f317(f317(f8(a1,a897,x90291),a95),x90292)),x90293)),f317(f317(f9(x90291,a1),x90292),x90293))
% 92.29/92.09 [9030]~P6(f317(x90302,f417(x90302,x90303,x90301)))+E(f317(f90(a1),f317(f317(f6(x90301,a897),f317(f317(f8(a1,a897,x90301),a95),x90302)),x90303)),f317(f317(f6(x90301,a1),x90302),x90303))
% 92.29/92.09 [9070]~P1(f317(f29(x90701),x90703))+P1(f317(f317(f224(a897),f317(f317(f23(a897),f317(f30(x90701),x90702)),f317(f30(x90701),x90703))),f317(f30(x90701),f317(f317(f23(f904(x90701,a893)),x90702),x90703))))
% 92.29/92.09 [9097]P1(f317(f317(f319(x90971),f878(x90972,x90973,x90971)),x90973))+E(f317(f90(a1),f317(f317(f9(x90971,a897),f317(f317(f8(a1,a897,x90971),a95),x90972)),x90973)),f317(f317(f9(x90971,a1),x90972),x90973))
% 92.29/92.09 [9098]P1(f317(f317(f319(x90981),f417(x90982,x90983,x90981)),x90983))+E(f317(f90(a1),f317(f317(f6(x90981,a897),f317(f317(f8(a1,a897,x90981),a95),x90982)),x90983)),f317(f317(f6(x90981,a1),x90982),x90983))
% 92.29/92.09 [9162]E(f79(x91621,f317(f317(f7(x91621,f904(x91621,a893),a893),f319(x91621)),f317(f317(f23(f904(x91621,a893)),x91622),f317(f317(f299(x91621),x91623),f178(f904(x91621,a893)))))),f237(x91621,x91623,x91622))+P1(f317(f317(f224(f904(x91621,a893)),x91622),f317(f317(f299(x91621),x91623),f178(f904(x91621,a893)))))
% 92.29/92.09 [9520]E(f317(f317(f144(f898(x95201),x95201),f317(f317(f7(f898(x95201),a897,x95201),f154(x95201)),x95202)),f317(f126(f898(x95201),f317(f317(f8(a897,a893,f898(x95201)),f317(f225(a897),x95202)),f179(f898(x95201)))),x95203)),f317(f317(f154(f898(x95201)),f169(x95201,x95203)),x95202))+~P1(f317(f317(f225(a897),x95202),f317(f179(f898(f898(x95201))),f169(x95201,x95203))))
% 92.29/92.09 [9607]E(f317(f126(x96071,x96072),x96073),f167(x96071,x96072,x96073))+P1(f317(f317(f319(x96071),f700(x96073,x96072,x96071)),f317(f162(x96071),f317(f317(f128(x96071),f317(f179(f898(x96071)),f167(x96071,x96072,x96073))),x96073))))
% 92.29/92.09 [9746]E(f317(f317(f128(x97461),f317(f179(f898(x97461)),f167(x97461,x97462,x97463))),x97463),f103(x97461))+~P1(f317(x97462,f317(f131(x97461),f317(f317(f128(x97461),f317(f179(f898(x97461)),f167(x97461,x97462,x97463))),x97463))))
% 92.29/92.09 [9838]~P1(f317(f317(f319(f903(x98381,x98381)),x98382),f297(x98381,x98383)))+P1(f317(f317(f319(f903(x98381,x98381)),x98382),f317(f317(f35(a897,f904(f903(x98381,x98381),a893)),f232(f904(a897,a893))),f317(f317(f7(a897,f904(f903(x98381,x98381),a893),f904(f903(x98381,x98381),a893)),f173(f903(x98381,x98381),a893)),x98383))))
% 92.29/92.09 [9898]~P1(f317(f317(f224(f904(x98981,a893)),f317(f317(f35(a897,f904(x98981,a893)),f317(f292(a897,f2(a897)),f473(x98983,x98982,x98981))),x98982)),x98983))+P1(f317(f317(f224(f904(x98981,a893)),f317(f317(f35(a897,f904(x98981,a893)),f232(f904(a897,a893))),x98982)),x98983))
% 92.29/92.09 [9944]~P1(f317(f317(f225(a1),f2(a1)),x99443))+P1(f317(f317(f225(a1),x99441),f317(f317(f74(a1),x99442),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x99442),x99441))),f72(a1))),x99443))))
% 92.29/92.09 [9958]~P36(x99581,f317(f317(f91(f904(f903(x99581,x99581),a893)),x99582),x99583))+P36(x99581,f317(f317(f91(f904(f903(x99581,x99581),a893)),f317(f317(f91(f904(f903(x99581,x99581),a893)),f317(f317(f279(x99581,x99581,x99581),x99582),x99582)),f317(f317(f279(x99581,x99581,x99581),x99583),x99582))),x99583))
% 92.29/92.09 [10033]P36(x100331,f317(f317(f91(f904(f903(x100331,x100331),a893)),x100332),x100333))+~P36(x100331,f317(f317(f91(f904(f903(x100331,x100331),a893)),f317(f317(f91(f904(f903(x100331,x100331),a893)),f317(f317(f279(x100331,x100331,x100331),x100332),x100332)),f317(f317(f279(x100331,x100331,x100331),x100333),x100332))),x100333))
% 92.29/92.09 [9611]~P140(x96111)+E(f317(f93(x96111),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x96112),x96113)),f178(f904(f903(a897,a897),a893)))))),f317(f317(f23(x96111),f317(f90(x96111),x96112)),f317(f90(x96111),x96113)))
% 92.29/92.09 [9693]P1(f317(x96933,x96932))+E(f317(f252(x96931),f317(f317(f18(x96931,a893,a893),f317(f317(f8(a893,f904(a893,a893),x96931),a315),f317(f317(f7(x96931,x96931,a893),a314),x96932))),x96933)),f178(f904(x96931,a893)))
% 92.29/92.09 [9695]~P1(f317(x96953,x96952))+E(f317(f252(x96951),f317(f317(f18(x96951,a893,a893),f317(f317(f8(a893,f904(a893,a893),x96951),a315),f317(f317(f7(x96951,x96951,a893),a314),x96952))),x96953)),f317(f317(f299(x96951),x96952),f178(f904(x96951,a893))))
% 92.29/92.09 [9924]E(x99241,x99242)+P1(f317(f317(f233(x99243,x99243,f317(f317(f8(f904(x99243,a893),f904(x99243,a893),x99243),f317(f8(a893,a893,x99243),a312)),a314)),x99241),x99242))
% 92.29/92.09 [10013]~E(x100131,x100132)+~P1(f317(f317(f233(x100133,x100133,f317(f317(f8(f904(x100133,a893),f904(x100133,a893),x100133),f317(f8(a893,a893,x100133),a312)),a314)),x100131),x100132))
% 92.29/92.09 [10025]~P1(f317(f29(x100251),x100253))+E(f317(f317(f59(x100251,f904(x100251,a893),f317(f317(f8(f904(x100251,a893),f904(f904(x100251,a893),f904(x100251,a893)),x100251),f317(f7(f904(x100251,a893),f904(x100251,a893),f904(x100251,a893)),f23(f904(x100251,a893)))),f317(f317(f7(x100251,f904(x100251,a893),f904(x100251,a893)),f299(x100251)),f178(f904(x100251,a893))))),x100252),x100253),f317(f317(f23(f904(x100251,a893)),x100252),x100253))
% 92.29/92.09 [10055]~P1(f317(f317(f225(a1),f2(a1)),x100553))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x100551),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x100551),x100552))),f72(a1))),x100553))),x100552))
% 92.29/92.09 [10317]~P1(f317(f317(f319(x103171),x103173),f306(x103171,x103172)))+P1(f317(f305(x103171,f317(f317(f7(x103171,f904(f903(x103171,x103171),a893),f904(x103171,a893)),f317(f317(f8(f904(x103171,f904(f904(f903(x103171,x103171),a893),a893)),f904(f904(f903(x103171,x103171),a893),f904(x103171,a893)),x103171),f7(x103171,f904(f903(x103171,x103171),a893),a893)),f317(f317(f8(f904(x103171,f903(x103171,x103171)),f904(x103171,f904(f904(f903(x103171,x103171),a893),a893)),x103171),f317(f8(f903(x103171,x103171),f904(f904(f903(x103171,x103171),a893),a893),x103171),f319(f903(x103171,x103171)))),f242(x103171,x103171)))),x103172)),x103173))
% 92.29/92.09 [10330]P1(f317(f317(f319(x103301),x103302),f306(x103301,x103303)))+~P1(f317(f305(x103301,f317(f317(f7(x103301,f904(f903(x103301,x103301),a893),f904(x103301,a893)),f317(f317(f8(f904(x103301,f904(f904(f903(x103301,x103301),a893),a893)),f904(f904(f903(x103301,x103301),a893),f904(x103301,a893)),x103301),f7(x103301,f904(f903(x103301,x103301),a893),a893)),f317(f317(f8(f904(x103301,f903(x103301,x103301)),f904(x103301,f904(f904(f903(x103301,x103301),a893),a893)),x103301),f317(f8(f903(x103301,x103301),f904(f904(f903(x103301,x103301),a893),a893),x103301),f319(f903(x103301,x103301)))),f242(x103301,x103301)))),x103303)),x103302))
% 92.29/92.09 [9896]~P1(f317(f29(x98961),f317(f252(x98961),x98963)))+P1(f317(f29(x98961),f317(f252(x98961),f317(f317(f18(x98961,a893,a893),f317(f317(f8(a893,f904(a893,a893),x98961),a315),x98962)),x98963))))
% 92.29/92.09 [9897]~P1(f317(f29(x98971),f317(f252(x98971),x98972)))+P1(f317(f29(x98971),f317(f252(x98971),f317(f317(f18(x98971,a893,a893),f317(f317(f8(a893,f904(a893,a893),x98971),a315),x98972)),x98973))))
% 92.29/92.09 [9992]P1(f317(f29(x99921),f317(f252(x99921),x99922)))+~P1(f317(f29(x99921),f317(f252(x99921),f317(f317(f18(x99921,a893,a893),f317(f317(f8(a893,f904(a893,a893),x99921),a316),x99923)),x99922))))
% 92.29/92.09 [9993]P1(f317(f29(x99931),f317(f252(x99931),x99932)))+~P1(f317(f29(x99931),f317(f252(x99931),f317(f317(f18(x99931,a893,a893),f317(f317(f8(a893,f904(a893,a893),x99931),a316),x99932)),x99933))))
% 92.29/92.09 [10296]~P1(f317(f29(x102961),x102962))+P1(f317(f29(f898(x102961)),f317(f252(f898(x102961)),f317(f317(f18(f898(x102961),a893,a893),f317(f317(f8(a893,f904(a893,a893),f898(x102961)),a315),f317(f317(f7(f898(x102961),f904(x102961,a893),a893),f317(f317(f8(f904(x102961,a893),f904(f904(x102961,a893),a893),f898(x102961)),f224(f904(x102961,a893))),f162(x102961))),x102962))),f317(f317(f7(f898(x102961),a897,a893),f317(f317(f8(a897,f904(a897,a893),f898(x102961)),a314),f179(f898(x102961)))),x102963)))))
% 92.29/92.09 [10297]~P1(f317(f29(x102971),x102972))+P1(f317(f29(f898(x102971)),f317(f252(f898(x102971)),f317(f317(f18(f898(x102971),a893,a893),f317(f317(f8(a893,f904(a893,a893),f898(x102971)),a315),f317(f317(f7(f898(x102971),f904(x102971,a893),a893),f317(f317(f8(f904(x102971,a893),f904(f904(x102971,a893),a893),f898(x102971)),f224(f904(x102971,a893))),f162(x102971))),x102972))),f317(f317(f7(f898(x102971),a897,a893),f317(f317(f8(a897,f904(a897,a893),f898(x102971)),f224(a897)),f179(f898(x102971)))),x102973)))))
% 92.29/92.09 [10006]~P119(x100061)+E(f317(f317(f234(x100061),x100062),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100063)),f317(f317(f75(x100061),f317(f317(f234(x100061),x100062),x100063)),f317(f317(f234(x100061),x100062),x100063)))
% 92.29/92.09 [10036]~P81(x100361)+E(f317(f317(f234(x100361),f317(f317(f234(x100361),x100362),x100363)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x100361),x100362),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100363)))
% 92.29/92.09 [10092]~P140(x100921)+E(f317(f317(f234(x100921),f317(f73(x100921),x100922)),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100923)),f317(f317(f234(x100921),x100922),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100923)))
% 92.29/92.09 [10235]~P126(x102351)+P1(f317(f317(f224(x102351),f2(x102351)),f317(f317(f74(x102351),f317(f317(f234(x102351),x102352),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102351),x102353),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 92.29/92.09 [10102]~P119(x101021)+E(f317(f317(f234(x101021),x101022),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101023))),f317(f317(f75(x101021),x101022),f317(f317(f75(x101021),f317(f317(f234(x101021),x101022),x101023)),f317(f317(f234(x101021),x101022),x101023))))
% 92.29/92.09 [10152]~P81(x101521)+E(f317(f317(f75(x101521),x101522),f317(f317(f234(x101521),f317(f317(f234(x101521),x101522),x101523)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101521),x101522),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101523))))
% 92.29/92.09 [10192]~P126(x101921)+P1(f317(f317(f224(x101921),f2(x101921)),f317(f317(f234(x101921),x101922),f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101923))))
% 92.29/92.09 [10272]~P94(x102721)+E(f317(f317(f23(x102721),f317(f317(f74(x102721),f317(f317(f234(x102721),x102722),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102721),x102723),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102721),f317(f317(f75(x102721),f317(f94(x102721),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102722)),x102723)),f317(f317(f234(x102721),f317(f317(f23(x102721),x102722),x102723)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [10273]~P94(x102731)+E(f317(f317(f74(x102731),f317(f317(f74(x102731),f317(f317(f234(x102731),x102732),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102731),x102733),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102731),f317(f317(f75(x102731),f317(f94(x102731),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102732)),x102733)),f317(f317(f234(x102731),f317(f317(f74(x102731),x102732),x102733)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.09 [7894]P24(x78941,x78942,x78943,x78944)+~E(f455(x78944,x78943,x78942,x78941),f477(x78944,x78943,x78942,x78941))
% 92.29/92.09 [8185]P33(x81851,x81852,x81853,x81854,f103(x81852))+~E(x81854,f103(x81851))
% 92.29/92.09 [8186]P33(x81861,x81862,x81863,f103(x81861),x81864)+~E(x81864,f103(x81862))
% 92.29/92.09 [8726]~P33(x87262,x87263,x87264,x87261,f103(x87263))+E(x87261,f103(x87262))
% 92.29/92.09 [8727]~P33(x87273,x87272,x87274,f103(x87273),x87271)+E(x87271,f103(x87272))
% 92.29/92.09 [5129]~P17(x51293,x51291,x51294)+E(f317(f317(x51291,x51292),x51292),x51292)
% 92.29/92.09 [5375]P1(f317(x53752,x53754))+E(f317(f126(x53751,x53752),f159(x53751,x53753,x53754)),f103(x53751))
% 92.29/92.09 [5412]~E(x54124,f178(f904(x54121,a893)))+E(f317(f300(x54121,x54122,x54123),x54124),f178(f904(x54122,a893)))
% 92.29/92.09 [5413]~E(x54134,f178(f904(x54131,a893)))+E(f317(f300(x54131,x54132,x54133),x54134),f178(f904(x54132,a893)))
% 92.29/92.09 [5659]~P1(f317(x56592,x56594))+E(f317(f126(x56591,x56592),f159(x56591,x56593,x56594)),f159(x56591,x56593,x56594))
% 92.29/92.09 [5688]~E(f317(f300(x56882,x56883,x56884),x56881),f178(f904(x56883,a893)))+E(x56881,f178(f904(x56882,a893)))
% 92.29/92.09 [5689]~E(f317(f300(x56892,x56893,x56894),x56891),f178(f904(x56893,a893)))+E(x56891,f178(f904(x56892,a893)))
% 92.29/92.09 [5876]~P7(x58761,x58763)+E(f261(x58761,x58762,f260(x58761,x58763),x58764),x58764)
% 92.29/92.09 [5992]~P107(x59922)+E(f317(f317(f138(x59921,x59922,x59923),x59924),f103(x59921)),f317(f317(f141(x59921),x59924),f103(x59921)))
% 92.29/92.09 [6360]~E(x63601,f178(f904(x63602,a893)))+~P1(f317(f57(x63602,x63603,x63601),x63604))
% 92.29/92.09 [6382]~P58(x63821,x63823,x63824,x63822)+P1(f317(f29(x63821),x63822))
% 92.29/92.09 [6383]~P58(x63831,x63833,x63834,x63832)+P1(f317(f29(x63831),x63832))
% 92.29/92.09 [6384]~P58(x63841,x63843,x63842,x63844)+P1(f317(f29(x63841),x63842))
% 92.29/92.09 [6385]~P58(x63851,x63853,x63852,x63854)+P1(f317(f29(x63851),x63852))
% 92.29/92.09 [6392]~P58(x63922,x63923,x63924,x63921)+~E(x63921,f178(f904(x63922,a893)))
% 92.29/92.09 [6393]~P58(x63932,x63933,x63934,x63931)+~E(x63931,f178(f904(x63932,a893)))
% 92.29/92.09 [6427]~P108(x64271)+E(f317(f317(f92(f904(x64271,a893)),f317(f292(x64271,x64272),x64273)),f293(x64271,x64273,x64274)),f178(f904(x64271,a893)))
% 92.29/92.09 [6454]~P1(f317(f317(x64543,x64544),x64542))+P1(f317(f317(f319(x64541),x64542),f284(x64541,x64543,x64544)))
% 92.29/92.09 [6455]~P1(f317(f317(x64553,x64554),x64552))+P1(f317(f317(f319(x64551),x64552),f285(x64551,x64553,x64554)))
% 92.29/92.09 [6456]~P1(f317(f317(x64563,x64562),x64564))+P1(f317(f317(f319(x64561),x64562),f286(x64561,x64563,x64564)))
% 92.29/92.09 [6457]~P1(f317(f317(x64573,x64572),x64574))+P1(f317(f317(f319(x64571),x64572),f288(x64571,x64573,x64574)))
% 92.29/92.09 [6603]~P108(x66031)+E(f317(f317(f92(f904(x66031,a893)),f296(x66031,x66032,x66033)),f293(x66031,x66033,x66034)),f178(f904(x66031,a893)))
% 92.29/92.09 [6604]~P108(x66041)+E(f317(f317(f92(f904(x66041,a893)),f295(x66041,x66042,x66043)),f296(x66041,x66043,x66044)),f178(f904(x66041,a893)))
% 92.29/92.09 [6605]~P108(x66051)+E(f317(f317(f92(f904(x66051,a893)),f295(x66051,x66052,x66053)),f295(x66051,x66053,x66054)),f178(f904(x66051,a893)))
% 92.29/92.09 [6606]~P108(x66061)+E(f317(f317(f92(f904(x66061,a893)),f293(x66061,x66062,x66063)),f296(x66061,x66063,x66064)),f178(f904(x66061,a893)))
% 92.29/92.09 [6607]~P108(x66071)+E(f317(f317(f92(f904(x66071,a893)),f293(x66071,x66072,x66073)),f295(x66071,x66073,x66074)),f178(f904(x66071,a893)))
% 92.29/92.09 [6645]P1(f317(f317(x66451,x66452),f533(x66452,x66451)))+~P1(f317(f239(x66453,x66454,x66451),x66452))
% 92.29/92.09 [6727]~P107(x67272)+E(f317(f162(x67271),f140(x67271,x67272,x67273,x67274)),f317(f162(x67271),x67274))
% 92.29/92.09 [6779]~P144(x67791)+E(f180(x67791,x67792,f317(a102,x67793),x67794),f180(x67791,x67792,x67793,f317(x67792,x67794)))
% 92.29/92.09 [6843]~P1(f317(f317(f319(x68434),x68433),f284(x68434,x68431,x68432)))+P1(f317(f317(x68431,x68432),x68433))
% 92.29/92.09 [6844]~P1(f317(f317(f319(x68444),x68443),f285(x68444,x68441,x68442)))+P1(f317(f317(x68441,x68442),x68443))
% 92.29/92.09 [6845]~P1(f317(f317(f319(x68454),x68452),f286(x68454,x68451,x68453)))+P1(f317(f317(x68451,x68452),x68453))
% 92.29/92.09 [6846]~P1(f317(f317(f319(x68464),x68462),f288(x68464,x68461,x68463)))+P1(f317(f317(x68461,x68462),x68463))
% 92.29/92.09 [6923]E(f317(f30(f902(x69231,x69232)),f303(x69231,x69232,x69233,x69234)),f2(a897))+P1(f317(f29(x69232),x69234))
% 92.29/92.09 [6924]E(f317(f30(f902(x69241,x69242)),f303(x69241,x69242,x69243,x69244)),f2(a897))+P1(f317(f29(x69241),x69243))
% 92.29/92.09 [7132]~P14(x71324,x71321,x71322)+E(f317(f67(x71321,x71321,x71321,f317(x71322,x71323)),f317(x71322,x71323)),f317(x71322,x71323))
% 92.29/92.09 [7373]E(f267(x73731,x73732,x73733,x73734),f317(f242(f904(a89,f904(a893,f900(f899(x73731)))),f903(a89,a89)),f37(x73731)))+~P1(f317(f317(f224(a89),x73733),f2(a89)))
% 92.29/92.09 [8017]~E(x80172,x80173)+P1(f317(f317(f319(f903(x80171,x80171)),f317(f317(f242(x80171,x80171),x80172),x80173)),f297(x80171,x80174)))
% 92.29/92.09 [8046]~P24(x80461,x80462,x80463,f232(f904(x80461,a893)))+E(f317(f71(x80461,x80462,f232(f904(x80461,a893)),x80463),f317(x80463,x80464)),x80464)
% 92.29/92.09 [8047]~P24(x80471,x80472,x80473,f232(f904(x80471,a893)))+E(f317(f85(x80471,x80472,f232(f904(x80471,a893)),x80473),f317(x80473,x80474)),x80474)
% 92.29/92.09 [8134]~P1(f317(f317(f319(f898(x81341)),f317(f317(f141(x81341),x81344),x81342)),f151(x81341,x81343)))+P1(f317(f317(f319(f898(x81341)),x81342),f151(x81341,x81343)))
% 92.29/92.09 [8135]~P1(f317(f317(f319(f898(x81351)),f317(f317(f124(x81351),x81354),x81352)),f151(x81351,x81353)))+P1(f317(f317(f319(f898(x81351)),x81352),f151(x81351,x81353)))
% 92.29/92.09 [8136]~P1(f317(f317(f319(f898(x81361)),f317(f317(f124(x81361),x81362),x81364)),f151(x81361,x81363)))+P1(f317(f317(f319(f898(x81361)),x81362),f151(x81361,x81363)))
% 92.29/92.09 [8147]~P107(x81471)+P13(x81471,f317(f317(f144(x81472,x81471),x81473),f140(x81472,x81471,x81473,x81474)))
% 92.29/92.09 [8252]P24(x82524,x82523,x82521,x82522)+E(f317(x82521,f455(x82522,x82521,x82523,x82524)),f317(x82521,f477(x82522,x82521,x82523,x82524)))
% 92.29/92.09 [8359]~P24(x83592,x83591,x83594,x83593)+P24(x83591,x83592,f71(x83592,x83591,x83593,x83594),f317(f300(x83592,x83591,x83594),x83593))
% 92.29/92.09 [8499]P36(f903(x84992,x84994),f270(x84992,x84994,x84991,x84993))+P1(f317(x84991,f538(x84992,x84993,x84994,x84991)))
% 92.29/92.09 [8614]E(x86141,x86142)+~P1(f317(f317(f319(f903(x86143,x86143)),f317(f317(f242(x86143,x86143),x86141),x86142)),f253(x86143,x86144)))
% 92.29/92.09 [8676]~P1(f317(f29(f902(x86763,x86761)),f303(x86763,x86761,x86764,x86762)))+P1(f317(f29(x86761),x86762))
% 92.29/92.09 [8677]~P1(f317(f29(f902(x86771,x86773)),f303(x86771,x86773,x86772,x86774)))+P1(f317(f29(x86771),x86772))
% 92.29/92.09 [8678]~P1(f317(f29(f902(x86783,x86781)),f303(x86783,x86781,x86784,x86782)))+P1(f317(f29(x86781),x86782))
% 92.29/92.09 [8679]~P1(f317(f29(f902(x86791,x86793)),f303(x86791,x86793,x86792,x86794)))+P1(f317(f29(x86791),x86792))
% 92.29/92.09 [8688]~P24(x86881,x86882,x86883,x86884)+P25(x86881,x86882,x86883,x86884,f317(f300(x86881,x86882,x86883),x86884))
% 92.29/92.09 [8689]P11(x86891,x86892,x86893,x86894)+~E(f317(x86894,f823(x86892,x86894,x86893,x86891)),f317(x86894,f824(x86892,x86894,x86893,x86891)))
% 92.29/92.09 [8779]~P25(x87792,x87793,x87794,x87791,f178(f904(x87793,a893)))+E(x87791,f178(f904(x87792,a893)))
% 92.29/92.09 [8780]~P25(x87803,x87802,x87804,f178(f904(x87803,a893)),x87801)+E(x87801,f178(f904(x87802,a893)))
% 92.29/92.09 [8872]P36(f903(x88721,x88722),f270(x88721,x88722,x88723,x88724))+~P36(x88722,f317(x88724,f538(x88721,x88724,x88722,x88723)))
% 92.29/92.09 [9440]E(f317(f317(f149(x94401,x94402),f646(x94403,x94404,x94402,x94401)),f647(x94403,x94404,x94402,x94401)),x94404)+~P1(f317(f317(f319(f903(f898(x94401),f898(x94401))),f317(f317(f242(f898(x94401),f898(x94401)),x94402),x94404)),f147(x94401,x94403)))
% 92.29/92.09 [9445]~P1(f317(f317(f319(f903(f898(x94451),f898(x94451))),f317(f317(f242(f898(x94451),f898(x94451)),x94452),x94453)),f135(x94451,x94454)))+P1(f317(f317(f319(f903(f898(x94451),f898(x94451))),f317(f317(f242(f898(x94451),f898(x94451)),x94452),x94453)),f137(x94451,x94454)))
% 92.29/92.09 [9557]P1(f317(f29(x95571),x95572))+~P1(f317(f317(f319(f903(f904(x95571,a893),f904(x95571,a893))),f317(f317(f242(f904(x95571,a893),f904(x95571,a893)),x95573),x95572)),f309(x95571,x95574)))
% 92.29/92.09 [9558]P1(f317(f29(x95581),x95582))+~P1(f317(f317(f319(f903(f904(x95581,a893),f904(x95581,a893))),f317(f317(f242(f904(x95581,a893),f904(x95581,a893)),x95582),x95583)),f309(x95581,x95584)))
% 92.29/92.09 [9561]~E(x95611,f178(f904(x95612,a893)))+~P1(f317(f317(f319(f903(f904(x95612,a893),f904(x95612,a893))),f317(f317(f242(f904(x95612,a893),f904(x95612,a893)),x95613),x95611)),f309(x95612,x95614)))
% 92.29/92.09 [10203]P11(x102031,x102032,x102033,x102034)+~P1(f317(f317(f247(x102031,x102031,a893),f317(f317(f7(x102031,f904(x102031,x102032),f904(x102031,a893)),f317(f317(f8(f904(x102032,a893),f904(f904(x102031,x102032),f904(x102031,a893)),x102031),f8(x102032,a893,x102031)),f317(f317(f8(x102032,f904(x102032,a893),x102031),a314),x102034))),x102034)),f546(x102034,x102033,x102032,x102031)))
% 92.29/92.09 [5026]~E(x50264,f103(x50261))+E(f317(f317(f144(x50261,x50262),x50263),x50264),f103(x50262))
% 92.29/92.09 [5027]~E(x50272,f103(x50271))+E(f317(f317(f149(x50271,x50272),x50273),x50274),f103(x50271))
% 92.29/92.09 [5028]~E(x50284,f103(x50281))+E(f317(f317(f144(x50281,x50282),x50283),x50284),f103(x50282))
% 92.29/92.09 [5261]E(x52611,f103(x52612))+~E(f317(f317(f144(x52612,x52613),x52614),x52611),f103(x52613))
% 92.29/92.09 [5262]E(x52621,f103(x52622))+~E(f317(f317(f144(x52622,x52623),x52624),x52621),f103(x52623))
% 92.29/92.09 [5263]E(x52631,f103(x52632))+~E(f317(f317(f149(x52632,x52631),x52633),x52634),f103(x52632))
% 92.29/92.09 [5300]E(x53001,x53002)+~E(f317(f317(f124(x53003),x53004),x53001),f317(f317(f124(x53003),x53004),x53002))
% 92.29/92.09 [5301]E(x53011,x53012)+~E(f317(f317(f124(x53013),x53011),x53014),f317(f317(f124(x53013),x53012),x53014))
% 92.29/92.09 [5450]P1(f317(x54503,x54502))+E(f160(x54501,x54502,f317(f126(x54501,x54503),x54504)),f317(f126(x54501,x54503),x54504))
% 92.29/92.09 [5452]~P1(f317(x54522,x54523))+P32(x54521,x54522,f317(f317(f141(x54521),x54523),x54524))
% 92.29/92.09 [5462]E(x54621,x54622)+~E(f129(a897,f317(f292(a897,x54621),x54623)),f317(f317(f141(a897),x54622),x54624))
% 92.29/92.09 [5511]~P26(x55112,x55113)+P26(x55111,f317(f317(f68(x55112,x55111),x55113),x55114))
% 92.29/92.09 [5512]~P36(x55122,x55123)+P36(x55121,f317(f317(f278(x55122,x55121),x55123),x55124))
% 92.29/92.09 [5513]~P37(x55132,x55133)+P37(x55131,f317(f317(f278(x55132,x55131),x55133),x55134))
% 92.29/92.09 [5514]~P51(x55142,x55143)+P51(x55141,f317(f317(f278(x55142,x55141),x55143),x55144))
% 92.29/92.09 [5643]~P32(x56431,x56432,x56434)+P32(x56431,x56432,f317(f317(f141(x56431),x56433),x56434))
% 92.29/92.09 [5644]~P32(x56441,x56442,x56444)+P32(x56441,x56442,f317(f317(f124(x56441),x56443),x56444))
% 92.29/92.09 [5645]~P32(x56451,x56452,x56453)+P32(x56451,x56452,f317(f317(f124(x56451),x56453),x56454))
% 92.29/92.09 [5732]~E(x57321,f103(x57322))+~E(f317(f317(f124(x57322),x57323),f317(f317(f141(x57322),x57324),f103(x57322))),x57321)
% 92.29/92.09 [5757]~P30(x57573,x57571,f317(f317(f141(x57573),x57572),x57574))+P1(f317(x57571,x57572))
% 92.29/92.09 [5767]E(f104(x57671,x57672),x57673)+~E(f317(f317(f124(x57671),x57673),f317(f317(f141(x57671),x57674),f103(x57671))),x57672)
% 92.29/92.09 [5768]E(f134(x57681,x57682),x57683)+~E(f317(f317(f124(x57681),x57684),f317(f317(f141(x57681),x57683),f103(x57681))),x57682)
% 92.29/92.09 [5878]~E(f129(a897,f317(f292(a897,x58781),x58782)),f317(f317(f141(a897),x58783),x58784))+P1(f317(f317(f225(a897),x58781),x58782))
% 92.29/92.09 [5896]P30(x58961,x58962,x58963)+~P30(x58961,x58962,f317(f317(f141(x58961),x58964),x58963))
% 92.29/92.09 [5897]P30(x58971,x58972,x58973)+~P30(x58971,x58972,f317(f317(f124(x58971),x58974),x58973))
% 92.29/92.09 [5898]P30(x58981,x58982,x58983)+~P30(x58981,x58982,f317(f317(f124(x58981),x58983),x58984))
% 92.29/92.09 [5982]~E(f317(f94(a897),x59824),f2(a897))+E(f317(f317(f154(x59821),f317(f317(f141(x59821),x59822),x59823)),f317(f94(a897),x59824)),x59822)
% 92.29/92.09 [6097]E(x60971,f317(f317(f124(x60972),f317(f158(x60972),x60973)),f317(f317(f141(x60972),x60974),f103(x60972))))+~E(f317(f158(x60972),x60971),f317(f317(f141(x60972),x60974),x60973))
% 92.29/92.09 [6279]~P108(x62791)+E(f317(f317(f92(f904(x62791,a893)),f317(f292(x62791,x62792),x62793)),f317(f292(x62791,x62793),x62794)),f178(f904(x62791,a893)))
% 92.29/92.09 [6290]E(f317(f317(f154(x62901),f159(x62901,x62902,x62903)),x62904),x62903)+~P1(f317(f317(f225(a897),x62904),x62902))
% 92.29/92.09 [6317]~P77(x63171)+E(f317(f155(x63171),f317(f317(f144(a1,x63171),x63172),f168(x63173,x63174))),f317(f317(f6(a1,x63171),x63172),f317(f162(a1),f168(x63173,x63174))))
% 92.29/92.09 [6318]~P77(x63181)+E(f317(f317(f6(a1,x63181),x63182),f317(f162(a1),f168(x63183,x63184))),f317(f155(x63181),f317(f317(f144(a1,x63181),x63182),f168(x63183,x63184))))
% 92.29/92.09 [6467]~E(x64672,f317(f317(f124(x64671),f317(f158(x64671),x64674)),f317(f317(f141(x64671),x64673),f103(x64671))))+E(f317(f158(x64671),x64672),f317(f317(f141(x64671),x64673),x64674))
% 92.29/92.09 [6483]~P19(x64832,x64833,x64834,x64831)+E(f317(x64831,f178(f904(x64832,a893))),f25(x64833))
% 92.29/92.09 [6511]~P108(x65111)+E(f317(f317(f92(f904(x65111,a893)),f296(x65111,x65112,x65113)),f317(f292(x65111,x65113),x65114)),f178(f904(x65111,a893)))
% 92.29/92.09 [6730]E(x67301,f178(f904(x67302,a893)))+~E(f303(x67303,x67302,x67304,x67301),f178(f904(f902(x67303,x67302),a893)))
% 92.29/92.09 [6731]E(x67311,f178(f904(x67312,a893)))+~E(f303(x67312,x67313,x67311,x67314),f178(f904(f902(x67312,x67313),a893)))
% 92.29/92.09 [6800]~P107(x68002)+E(f317(f179(f898(x68001)),f140(x68001,x68002,x68003,x68004)),f317(f179(f898(x68001)),x68004))
% 92.29/92.09 [6811]~P1(f317(f240(x68113,x68114,x68111),x68112))+P1(f317(f317(x68111,f522(x68112,x68111)),x68112))
% 92.29/92.09 [6839]E(f317(f94(a897),x68391),f2(a897))+E(f317(f317(f154(x68392),f317(f317(f141(x68392),x68393),x68394)),f317(f94(a897),x68391)),f317(f317(f154(x68392),x68394),f317(f317(f23(a897),f317(f94(a897),x68391)),f72(a897))))
% 92.29/92.09 [6857]~P1(f317(f29(x68572),x68574))+P1(f317(f29(x68571),f317(f300(x68572,x68571,x68573),x68574)))
% 92.29/92.09 [7093]~P24(x70932,x70931,x70933,x70934)+E(f317(f30(x70931),f317(f300(x70932,x70931,x70933),x70934)),f317(f30(x70932),x70934))
% 92.29/92.09 [7111]E(f317(f300(x71111,x71112,x71113),f317(f301(x71111,x71112,x71113),x71114)),x71114)+~E(f317(f300(x71111,x71112,x71113),f232(f904(x71111,a893))),f232(f904(x71112,a893)))
% 92.29/92.09 [7527]~P24(x75271,x75272,x75273,f232(f904(x75271,a893)))+E(f317(f301(x75271,x75272,x75273),f317(f300(x75271,x75272,x75273),x75274)),x75274)
% 92.29/92.09 [7811]E(x78111,x78112)+~P1(f317(f317(f319(x78113),x78111),f317(f162(x78113),f159(x78113,x78114,x78112))))
% 92.29/92.09 [7820]~E(x78201,f2(a897))+~P1(f317(f317(f319(x78202),x78203),f317(f162(x78202),f159(x78202,x78201,x78204))))
% 92.29/92.09 [7853]P1(f317(x78531,x78532))+~P1(f317(f317(f319(x78533),x78532),f317(f162(x78533),f167(x78533,x78531,x78534))))
% 92.29/92.09 [7963]~P1(f317(f317(f319(f898(x79631)),f317(f317(f141(x79631),x79632),x79634)),f151(x79631,x79633)))+P1(f317(f317(f319(x79631),x79632),x79633))
% 92.29/92.09 [8090]~P1(f317(f317(f319(x80901),x80902),f317(f162(x80901),f166(x80901,x80903,x80904))))+P1(f317(f317(f319(x80901),x80902),f317(f162(x80901),x80903)))
% 92.29/92.09 [8091]~P1(f317(f317(f319(x80911),x80912),f317(f162(x80911),f166(x80911,x80913,x80914))))+P1(f317(f317(f319(x80911),x80912),f317(f162(x80911),x80913)))
% 92.29/92.09 [8092]~P1(f317(f317(f319(x80921),x80922),f317(f162(x80921),f160(x80921,x80924,x80923))))+P1(f317(f317(f319(x80921),x80922),f317(f162(x80921),x80923)))
% 92.29/92.09 [8093]~P1(f317(f317(f319(x80931),x80932),f317(f162(x80931),f167(x80931,x80934,x80933))))+P1(f317(f317(f319(x80931),x80932),f317(f162(x80931),x80933)))
% 92.29/92.09 [8103]E(f317(f179(f898(x81031)),x81032),x81033)+~P1(f317(f317(f319(f898(x81031)),x81032),f317(f162(f898(x81031)),f51(x81031,x81033,x81034))))
% 92.29/92.09 [8198]P1(f317(x81983,x81982))+E(f317(f126(x81981,f317(f317(f8(a893,a893,x81981),a312),f317(a314,x81982))),f317(f126(x81981,x81983),x81984)),f317(f126(x81981,x81983),x81984))
% 92.29/92.09 [8310]E(f317(f317(f154(x83101),f167(x83101,x83102,x83103)),x83104),f317(f317(f154(x83101),x83103),x83104))+~P1(f317(f317(f225(a897),x83104),f317(f179(f898(x83101)),f167(x83101,x83102,x83103))))
% 92.29/92.09 [8397]~P77(x83971)+E(f317(f317(f6(a897,x83971),f317(f317(f8(a897,x83971,a897),x83972),a102)),f317(f292(a897,x83973),x83974)),f317(f317(f6(a897,x83971),x83972),f317(f292(a897,f317(a102,x83973)),f317(a102,x83974))))
% 92.29/92.09 [8406]~P77(x84061)+E(f317(f317(f6(a897,x84061),f317(f317(f8(a897,x84061,a897),x84062),a102)),f293(a897,x84063,x84064)),f317(f317(f6(a897,x84061),x84062),f293(a897,f317(a102,x84063),f317(a102,x84064))))
% 92.29/92.09 [8535]~P24(x85351,x85353,x85354,f232(f904(x85351,a893)))+P24(x85351,f904(x85352,x85353),f317(f317(f8(x85353,f904(x85352,x85353),x85351),f16(x85353,x85352)),x85354),f232(f904(x85351,a893)))
% 92.29/92.09 [8620]~P24(x86202,x86201,x86204,x86203)+E(f317(f300(x86201,x86202,f71(x86202,x86201,x86203,x86204)),f317(f300(x86202,x86201,x86204),x86203)),x86203)
% 92.29/92.09 [8680]~P1(f317(f317(f319(f903(x86801,x86801)),f317(f317(f242(x86801,x86801),x86802),x86804)),f253(x86801,x86803)))+P1(f317(f317(f319(x86801),x86802),x86803))
% 92.29/92.09 [8802]~P24(x88022,x88021,x88023,f232(f904(x88022,a893)))+E(f317(f300(x88021,x88022,f85(x88022,x88021,f232(f904(x88022,a893)),x88023)),f317(f300(x88022,x88021,x88023),x88024)),x88024)
% 92.29/92.09 [8803]~P24(x88032,x88031,x88033,f232(f904(x88032,a893)))+E(f317(f300(x88031,x88032,f85(x88032,x88031,f232(f904(x88032,a893)),x88033)),f317(f300(x88032,x88031,x88033),x88034)),x88034)
% 92.29/92.09 [8878]~P25(x88781,x88782,x88783,x88784,f232(f904(x88782,a893)))+E(f317(f300(x88781,x88782,x88783),f232(f904(x88781,a893))),f232(f904(x88782,a893)))
% 92.29/92.09 [8911]~E(f317(f317(f6(x89111,a897),x89114),x89113),f317(a102,x89112))+P1(f317(f317(f319(x89111),f558(x89112,x89113,x89114,x89111)),x89113))
% 92.29/92.09 [8932]~E(f317(f317(f6(x89324,a897),x89321),x89323),f317(a102,x89322))+P1(f317(f317(f225(a897),f2(a897)),f317(x89321,f558(x89322,x89323,x89321,x89324))))
% 92.29/92.09 [8943]~P1(f317(f29(x89432),x89434))+P1(f317(f317(f224(a897),f317(f30(x89431),f317(f300(x89432,x89431,x89433),x89434))),f317(f30(x89432),x89434)))
% 92.29/92.09 [8944]E(f317(f317(f242(x89441,x89442),f622(x89443,x89444,x89442,x89441)),f617(x89443,x89444,x89442,x89441)),x89444)+~P1(f317(f317(f319(f903(x89441,x89442)),x89444),f317(f276(x89442,x89441),x89443)))
% 92.29/92.09 [8952]P24(x89521,x89522,x89523,x89524)+P1(f317(f317(f319(x89521),f455(x89524,x89523,x89522,x89521)),x89524))
% 92.29/92.09 [8953]P24(x89531,x89532,x89533,x89534)+P1(f317(f317(f319(x89531),f477(x89534,x89533,x89532,x89531)),x89534))
% 92.29/92.09 [9021]P11(x90211,x90212,x90213,x90214)+P1(f317(f317(f319(f903(x90211,x90211)),f546(x90214,x90213,x90212,x90211)),x90213))
% 92.29/92.09 [9075]P1(f317(x90751,x90752))+~P1(f317(x90751,f317(f317(f242(x90753,x90754),f880(x90754,x90753,x90751)),f881(x90754,x90753,x90751))))
% 92.29/92.09 [9092]E(f317(f179(f898(x90921)),x90922),f317(f179(f898(x90921)),x90923))+~P1(f317(f317(f319(f903(f898(x90921),f898(x90921))),f317(f317(f242(f898(x90921),f898(x90921)),x90922),x90923)),f135(x90921,x90924)))
% 92.29/92.09 [9093]E(f317(f179(f898(x90931)),x90932),f317(f179(f898(x90931)),x90933))+~P1(f317(f317(f319(f903(f898(x90931),f898(x90931))),f317(f317(f242(f898(x90931),f898(x90931)),x90932),x90933)),f147(x90931,x90934)))
% 92.29/92.09 [9094]E(f317(f179(f898(x90941)),x90942),f317(f179(f898(x90941)),x90943))+~P1(f317(f317(f319(f903(f898(x90941),f898(x90941))),f317(f317(f242(f898(x90941),f898(x90941)),x90942),x90943)),f148(x90941,x90944)))
% 92.29/92.09 [9095]E(f317(f179(f898(x90951)),x90952),f317(f179(f898(x90951)),x90953))+~P1(f317(f317(f319(f903(f898(x90951),f898(x90951))),f317(f317(f242(f898(x90951),f898(x90951)),x90952),x90953)),f148(x90951,x90954)))
% 92.29/92.09 [9096]E(f317(f179(f898(x90961)),x90962),f317(f179(f898(x90961)),x90963))+~P1(f317(f317(f319(f903(f898(x90961),f898(x90961))),f317(f317(f242(f898(x90961),f898(x90961)),x90962),x90963)),f148(x90961,x90964)))
% 92.29/92.09 [9166]P1(f317(f317(f224(a897),f145(x91661,x91662,x91663)),f145(x91661,x91664,x91663)))+P1(f317(f317(f319(x91661),f645(x91664,x91662,x91663,x91661)),f317(f162(x91661),x91663)))
% 92.29/92.09 [9170]E(f317(f179(f898(x91701)),x91702),f317(f179(f898(x91701)),x91703))+~P1(f317(f317(f319(f903(f898(x91701),f898(x91701))),f317(f317(f242(f898(x91701),f898(x91701)),x91702),x91703)),f297(f898(x91701),f147(x91701,x91704))))
% 92.29/92.09 [9288]P1(f317(f317(f277(a897),x92881),x92882))+P1(f317(f317(f224(f904(a897,a893)),f280(a897,f277(a897),x92881,x92882)),f280(a897,f277(a897),x92883,x92884)))
% 92.29/92.09 [9411]~P24(x94111,x94112,x94113,x94114)+~P1(f317(f317(f225(a897),f317(f30(x94112),f317(f300(x94111,x94112,x94113),x94114))),f317(f30(x94111),x94114)))
% 92.29/92.09 [9458]~P1(f317(f317(f319(f903(f898(x94581),f898(x94581))),f317(f317(f242(f898(x94581),f898(x94581)),x94582),x94583)),f147(x94581,x94584)))+P1(f317(f317(f319(f903(f898(x94581),f898(x94581))),f317(f317(f242(f898(x94581),f898(x94581)),x94582),x94583)),f148(x94581,f297(x94581,x94584))))
% 92.29/92.09 [9462]~P1(f317(f317(f319(f903(f898(x94621),f898(x94621))),f317(f317(f242(f898(x94621),f898(x94621)),x94622),x94623)),f148(x94621,x94624)))+P1(f317(f317(f319(f903(f898(x94621),f898(x94621))),f317(f317(f242(f898(x94621),f898(x94621)),x94622),x94623)),f297(f898(x94621),f147(x94621,x94624))))
% 92.29/92.09 [9478]P1(f317(f317(f319(f903(x94781,x94781)),f317(f317(f242(x94781,x94781),x94782),x94783)),f297(x94781,x94784)))+~P1(f317(f317(f319(f903(x94781,x94781)),f317(f317(f242(x94781,x94781),x94782),x94783)),f317(f317(f279(x94781,x94781,x94781),x94784),f297(x94781,x94784))))
% 92.29/92.09 [9552]P1(f317(f317(f277(a897),x95521),x95522))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x95523,x95524)),f280(a897,f277(a897),x95521,x95522)))
% 92.29/92.09 [9674]E(f317(f317(f124(x96741),f662(x96742,x96743,x96744,x96741)),f317(f317(f141(x96741),f663(x96742,x96743,x96744,x96741)),f665(x96742,x96743,x96744,x96741))),x96744)+~P1(f317(f317(f319(f903(f898(x96741),f898(x96741))),f317(f317(f242(f898(x96741),f898(x96741)),x96744),x96743)),f147(x96741,x96742)))
% 92.29/92.09 [9675]E(f317(f317(f124(x96751),f662(x96752,x96753,x96754,x96751)),f317(f317(f141(x96751),f664(x96752,x96753,x96754,x96751)),f665(x96752,x96753,x96754,x96751))),x96753)+~P1(f317(f317(f319(f903(f898(x96751),f898(x96751))),f317(f317(f242(f898(x96751),f898(x96751)),x96754),x96753)),f147(x96751,x96752)))
% 92.29/92.09 [9753]P1(f317(f317(f319(f903(x97531,x97531)),f317(f317(f242(x97531,x97531),x97532),f610(x97533,x97534,x97532,x97531))),f297(x97531,x97533)))+~P1(f317(f317(f319(f903(x97531,x97531)),f317(f317(f242(x97531,x97531),x97532),x97534)),f317(f317(f279(x97531,x97531,x97531),x97533),f297(x97531,x97533))))
% 92.29/92.09 [9821]P1(f317(f317(f224(a897),f145(x98211,x98212,x98213)),f145(x98211,x98214,x98213)))+~P1(f317(f317(f225(a897),f317(x98212,f645(x98214,x98212,x98213,x98211))),f317(x98214,f645(x98214,x98212,x98213,x98211))))
% 92.29/92.09 [9892]P1(f317(f317(f319(f903(x98921,x98921)),f317(f317(f242(x98921,x98921),f605(x98922,x98923,x98924,x98921)),x98923)),f297(x98921,x98922)))+~P1(f317(f317(f319(f903(x98921,x98921)),f317(f317(f242(x98921,x98921),x98924),x98923)),f317(f317(f279(x98921,x98921,x98921),x98922),f297(x98921,x98922))))
% 92.29/92.09 [5281]~E(x52812,x52813)+E(f160(x52811,x52812,f317(f317(f141(x52811),x52813),x52814)),x52814)
% 92.29/92.09 [5294]~E(x52942,f2(a897))+E(f317(f317(f165(x52941),x52942),f317(f317(f141(x52941),x52943),x52944)),f103(x52941))
% 92.29/92.09 [5406]P1(f317(x54062,x54063))+E(f167(x54061,x54062,f317(f317(f141(x54061),x54063),x54064)),f103(x54061))
% 92.29/92.09 [5473]~P89(x54732)+E(f317(f317(f73(f904(x54731,x54732)),x54733),x54734),f317(f73(x54732),f317(x54733,x54734)))
% 92.29/92.09 [5474]~P89(x54742)+E(f317(f317(f73(f904(x54741,x54742)),x54743),x54744),f317(f73(x54742),f317(x54743,x54744)))
% 92.29/92.09 [5487]~E(x54872,f2(a897))+E(f317(f317(f128(x54871),x54872),f317(f317(f141(x54871),x54873),x54874)),f317(f317(f141(x54871),x54873),x54874))
% 92.29/92.09 [5488]P1(f317(x54882,x54883))+E(f317(f126(x54881,x54882),f317(f317(f141(x54881),x54883),x54884)),f317(f126(x54881,x54882),x54884))
% 92.29/92.09 [5626]~E(x56262,x56264)+P1(f317(f317(f317(f299(x56261),x56262),x56263),x56264))
% 92.29/92.09 [5634]E(x56341,f103(x56342))+E(f134(x56343,f317(f317(f144(x56342,x56343),x56344),x56341)),f317(x56344,f134(x56342,x56341)))
% 92.29/92.09 [5648]~E(x56481,f58(x56482,x56484))+E(f317(x56481,f317(f317(f299(x56482),x56483),f178(f904(x56482,a893)))),x56483)
% 92.29/92.09 [5664]~E(f317(f94(a897),x56642),f2(a897))+E(f317(f317(f165(x56641),f317(f94(a897),x56642)),f317(f317(f141(x56641),x56643),x56644)),f103(x56641))
% 92.29/92.09 [5684]E(x56841,f103(x56842))+E(f317(f131(x56843),f317(f317(f144(x56842,x56843),x56844),x56841)),f317(x56844,f317(f131(x56842),x56841)))
% 92.29/92.09 [5787]~P1(f317(x57873,x57874))+P1(f317(f317(f317(f299(x57871),x57872),x57873),x57874))
% 92.29/92.09 [5899]~E(f317(f94(a897),x58992),f2(a897))+E(f317(f317(f128(x58991),f317(f94(a897),x58992)),f317(f317(f141(x58991),x58993),x58994)),f317(f317(f141(x58991),x58993),x58994))
% 92.29/92.09 [5915]~P18(x59152,x59154,x59151)+E(f317(x59151,f317(f317(f299(x59152),x59153),f178(f904(x59152,a893)))),x59153)
% 92.29/92.09 [5940]~E(x59402,x59403)+P1(f317(f317(f319(x59401),x59402),f317(f317(f299(x59401),x59403),x59404)))
% 92.29/92.09 [5941]~E(x59412,x59413)+P1(f317(f317(f319(x59411),x59412),f317(f317(f299(x59411),x59413),x59414)))
% 92.29/92.09 [5946]~P119(x59461)+E(f317(f317(f74(x59461),x59462),f317(f317(f74(x59461),x59463),x59464)),f317(f317(f74(x59461),x59463),f317(f317(f74(x59461),x59462),x59464)))
% 92.29/92.09 [5947]~P119(x59471)+E(f317(f317(f75(x59471),x59472),f317(f317(f75(x59471),x59473),x59474)),f317(f317(f75(x59471),x59473),f317(f317(f75(x59471),x59472),x59474)))
% 92.29/92.09 [5948]~P107(x59481)+E(f317(f317(f228(x59481),x59482),f317(f317(f228(x59481),x59483),x59484)),f317(f317(f228(x59481),x59483),f317(f317(f228(x59481),x59482),x59484)))
% 92.29/92.09 [5949]~P107(x59491)+E(f317(f317(f228(x59491),x59492),f317(f317(f228(x59491),x59493),x59494)),f317(f317(f228(x59491),x59493),f317(f317(f228(x59491),x59492),x59494)))
% 92.29/92.09 [5950]~P107(x59501)+E(f317(f317(f223(x59501),x59502),f317(f317(f223(x59501),x59503),x59504)),f317(f317(f223(x59501),x59503),f317(f317(f223(x59501),x59502),x59504)))
% 92.29/92.09 [5951]~P107(x59511)+E(f317(f317(f223(x59511),x59512),f317(f317(f223(x59511),x59513),x59514)),f317(f317(f223(x59511),x59513),f317(f317(f223(x59511),x59512),x59514)))
% 92.29/92.09 [5952]~P98(x59521)+E(f317(f317(f91(x59521),x59522),f317(f317(f91(x59521),x59523),x59524)),f317(f317(f91(x59521),x59523),f317(f317(f91(x59521),x59522),x59524)))
% 92.29/92.09 [5953]~P98(x59531)+E(f317(f317(f91(x59531),x59532),f317(f317(f91(x59531),x59533),x59534)),f317(f317(f91(x59531),x59533),f317(f317(f91(x59531),x59532),x59534)))
% 92.29/92.09 [5954]~P99(x59541)+E(f317(f317(f91(x59541),x59542),f317(f317(f91(x59541),x59543),x59544)),f317(f317(f91(x59541),x59543),f317(f317(f91(x59541),x59542),x59544)))
% 92.29/92.09 [5955]~P99(x59551)+E(f317(f317(f92(x59551),x59552),f317(f317(f92(x59551),x59553),x59554)),f317(f317(f92(x59551),x59553),f317(f317(f92(x59551),x59552),x59554)))
% 92.29/92.09 [5956]~P104(x59561)+E(f317(f317(f92(x59561),x59562),f317(f317(f92(x59561),x59563),x59564)),f317(f317(f92(x59561),x59563),f317(f317(f92(x59561),x59562),x59564)))
% 92.29/92.09 [5957]~P104(x59571)+E(f317(f317(f92(x59571),x59572),f317(f317(f92(x59571),x59573),x59574)),f317(f317(f92(x59571),x59573),f317(f317(f92(x59571),x59572),x59574)))
% 92.29/92.09 [5964]E(x59641,x59642)+E(f160(x59643,x59641,f317(f317(f141(x59643),x59642),x59644)),f317(f317(f141(x59643),x59642),f160(x59643,x59641,x59644)))
% 92.29/92.09 [5979]~P1(f317(x59792,x59793))+E(f317(f126(x59791,x59792),f317(f317(f141(x59791),x59793),x59794)),f317(f317(f141(x59791),x59793),f317(f126(x59791,x59792),x59794)))
% 92.29/92.09 [6072]~E(x60724,f178(f904(x60721,a893)))+E(f317(f300(x60721,x60722,f317(f16(x60722,x60721),x60723)),x60724),f178(f904(x60722,a893)))
% 92.29/92.09 [6119]~P1(f317(x61192,x61193))+E(f167(x61191,x61192,f317(f317(f141(x61191),x61193),x61194)),f317(f317(f141(x61191),x61193),f167(x61191,x61192,x61194)))
% 92.29/92.09 [6183]E(x61831,f178(f904(x61832,a893)))+E(f317(f317(f35(x61832,f904(x61833,a893)),x61831),f317(f16(f904(x61833,a893),x61832),x61834)),x61834)
% 92.29/92.09 [6184]E(x61841,f178(f904(x61842,a893)))+E(f317(f317(f36(x61842,f904(x61843,a893)),x61841),f317(f16(f904(x61843,a893),x61842),x61844)),x61844)
% 92.29/92.09 [6193]~E(x61934,f178(f904(x61932,a893)))+E(f317(f317(f244(x61931,x61932),x61933),f317(f16(f904(x61932,a893),x61931),x61934)),f178(f904(f903(x61931,x61932),a893)))
% 92.29/92.09 [6194]~E(x61943,f178(f904(x61941,a893)))+E(f317(f317(f244(x61941,x61942),x61943),f317(f16(f904(x61942,a893),x61941),x61944)),f178(f904(f903(x61941,x61942),a893)))
% 92.29/92.09 [6250]E(x62501,f2(a897))+E(f317(f317(f128(x62502),x62501),f317(f317(f141(x62502),x62503),x62504)),f317(f317(f128(x62502),f317(f317(f23(a897),x62501),f72(a897))),x62504))
% 92.29/92.09 [6271]E(x62711,f178(f904(x62712,a893)))+E(f317(f300(x62712,x62713,f317(f16(x62713,x62712),x62714)),x62711),f317(f317(f299(x62713),x62714),f178(f904(x62713,a893))))
% 92.29/92.09 [6274]E(f317(f301(x62741,x62742,f317(f16(x62742,x62741),x62743)),x62744),f178(f904(x62741,a893)))+P1(f317(f317(f319(x62742),x62743),x62744))
% 92.29/92.09 [6343]~E(x63433,f178(f904(x63431,a893)))+E(f317(f317(f35(x63431,f904(x63432,a893)),x63433),f317(f16(f904(x63432,a893),x63431),x63434)),f178(f904(x63432,a893)))
% 92.29/92.09 [6344]~E(x63443,f178(f904(x63441,a893)))+E(f317(f317(f36(x63441,f904(x63442,a893)),x63443),f317(f16(f904(x63442,a893),x63441),x63444)),f232(f904(x63442,a893)))
% 92.29/92.09 [6346]~P3(x63461)+E(f41(x63461,f317(f317(f75(x63461),x63462),x63463),f317(f317(f75(x63461),x63462),x63464)),f317(f317(f75(x63461),x63462),f41(x63461,x63463,x63464)))
% 92.29/92.09 [6521]E(f317(f301(x65211,x65212,f317(f16(x65212,x65211),x65213)),x65214),f232(f904(x65211,a893)))+~P1(f317(f317(f319(x65212),x65213),x65214))
% 92.29/92.09 [6542]~P1(f317(f317(f319(x65421),x65422),x65424))+P1(f317(f317(f319(x65421),x65422),f317(f317(f299(x65421),x65423),x65424)))
% 92.29/92.09 [6543]~P1(f317(f317(f319(x65431),x65432),x65434))+P1(f317(f317(f319(x65431),x65432),f317(f317(f299(x65431),x65433),x65434)))
% 92.29/92.09 [6544]~P1(f317(f317(f319(x65441),x65442),x65444))+P1(f317(f317(f319(x65441),x65442),f317(f317(f299(x65441),x65443),x65444)))
% 92.29/92.09 [6549]P1(f317(x65491,x65492))+~P1(f317(f150(x65493,x65491),f317(f317(f141(x65493),x65492),x65494)))
% 92.29/92.09 [6558]~E(x65583,f317(f317(f23(a897),f317(f179(f898(x65581)),x65582)),f72(a897)))+E(f104(x65581,f317(f317(f149(x65581,x65582),x65583),x65584)),f104(x65581,x65582))
% 92.29/92.09 [6581]~P107(x65811)+E(f317(f317(f92(f904(x65811,a893)),f317(f291(x65811),x65812)),f293(x65811,x65813,x65814)),f293(x65811,x65813,f317(f317(f228(x65811),x65812),x65814)))
% 92.29/92.09 [6582]~P107(x65821)+E(f317(f317(f92(f904(x65821,a893)),f317(f273(x65821),x65822)),f293(x65821,x65823,x65824)),f293(x65821,f317(f317(f223(x65821),x65822),x65823),x65824))
% 92.29/92.09 [6597]E(f317(f317(f92(f904(x65971,a893)),x65972),f317(f317(f299(x65971),x65973),x65974)),f317(f317(f92(f904(x65971,a893)),x65972),x65974))+P1(f317(f317(f319(x65971),x65973),x65972))
% 92.29/92.09 [6598]E(f317(f317(f92(f904(x65981,a893)),x65982),f317(f317(f299(x65981),x65983),x65984)),f317(f317(f92(f904(x65981,a893)),x65982),x65984))+P1(f317(f317(f319(x65981),x65983),x65982))
% 92.29/92.09 [6610]E(f160(x66101,x66102,f317(f317(f124(x66101),x66103),x66104)),f317(f317(f124(x66101),x66103),f160(x66101,x66102,x66104)))+P1(f317(f317(f319(x66101),x66102),f317(f162(x66101),x66103)))
% 92.29/92.09 [6615]~P81(x66151)+E(f317(f317(f75(x66151),f317(f317(f234(x66151),x66152),x66153)),f317(f317(f234(x66151),x66152),x66154)),f317(f317(f234(x66151),x66152),f317(f317(f74(a897),x66153),x66154)))
% 92.29/92.09 [6616]~P119(x66161)+E(f317(f317(f75(x66161),f317(f317(f234(x66161),x66162),x66163)),f317(f317(f234(x66161),x66162),x66164)),f317(f317(f234(x66161),x66162),f317(f317(f74(a897),x66163),x66164)))
% 92.29/92.09 [6653]~P119(x66531)+E(f317(f317(f74(x66531),f317(f317(f75(x66531),x66532),x66533)),f317(f317(f75(x66531),x66532),x66534)),f317(f317(f75(x66531),x66532),f317(f317(f74(x66531),x66533),x66534)))
% 92.29/92.09 [6654]~P107(x66541)+E(f317(f317(f223(x66541),f317(f317(f228(x66541),x66542),x66543)),f317(f317(f228(x66541),x66542),x66544)),f317(f317(f228(x66541),x66542),f317(f317(f223(x66541),x66543),x66544)))
% 92.29/92.09 [6655]~P107(x66551)+E(f317(f317(f228(x66551),f317(f317(f223(x66551),x66552),x66553)),f317(f317(f223(x66551),x66552),x66554)),f317(f317(f223(x66551),x66552),f317(f317(f228(x66551),x66553),x66554)))
% 92.29/92.09 [6656]~P102(x66561)+E(f317(f317(f92(x66561),f317(f317(f91(x66561),x66562),x66563)),f317(f317(f91(x66561),x66562),x66564)),f317(f317(f91(x66561),x66562),f317(f317(f92(x66561),x66563),x66564)))
% 92.29/92.09 [6657]~P102(x66571)+E(f317(f317(f91(x66571),f317(f317(f92(x66571),x66572),x66573)),f317(f317(f92(x66571),x66572),x66574)),f317(f317(f92(x66571),x66572),f317(f317(f91(x66571),x66573),x66574)))
% 92.29/92.09 [6691]~P3(x66911)+E(f41(x66911,f317(f317(f75(x66911),x66912),x66913),f317(f317(f75(x66911),x66914),x66913)),f317(f317(f75(x66911),f41(x66911,x66912,x66914)),x66913))
% 92.29/92.09 [6694]~E(f317(f179(f898(x66941)),x66943),f317(f179(f898(x66942)),x66944))+E(f317(f317(f144(f903(x66941,x66942),x66942),f246(x66941,x66942)),f317(f317(f171(x66941,x66942),x66943),x66944)),x66944)
% 92.29/92.09 [6695]~E(f317(f179(f898(x66951)),x66953),f317(f179(f898(x66952)),x66954))+E(f317(f317(f144(f903(x66951,x66952),x66951),f241(x66951,x66952)),f317(f317(f171(x66951,x66952),x66953),x66954)),x66953)
% 92.29/92.09 [6700]P1(f317(f150(x67001,x67002),x67003))+~P1(f317(f150(x67001,x67002),f317(f317(f141(x67001),x67004),x67003)))
% 92.29/92.09 [6701]P1(f317(f150(x67011,x67012),x67013))+~P1(f317(f150(x67011,x67012),f317(f317(f124(x67011),x67014),x67013)))
% 92.29/92.09 [6702]P1(f317(f150(x67021,x67022),x67023))+~P1(f317(f150(x67021,x67022),f317(f317(f124(x67021),x67023),x67024)))
% 92.29/92.09 [6707]~P4(x67071)+E(f41(x67071,f317(f317(f23(x67071),x67072),f41(x67071,x67073,x67074)),x67074),f41(x67071,f317(f317(f23(x67071),x67072),x67073),x67074))
% 92.29/92.09 [6708]~P3(x67081)+E(f41(x67081,f317(f317(f74(x67081),x67082),f41(x67081,x67083,x67084)),x67084),f41(x67081,f317(f317(f74(x67081),x67082),x67083),x67084))
% 92.29/92.09 [6709]~P3(x67091)+E(f41(x67091,f317(f317(f75(x67091),x67092),f41(x67091,x67093,x67094)),x67094),f41(x67091,f317(f317(f75(x67091),x67092),x67093),x67094))
% 92.29/92.09 [6710]~P3(x67101)+E(f41(x67101,f317(f317(f74(x67101),x67102),f41(x67101,x67103,x67104)),x67104),f41(x67101,f317(f317(f74(x67101),x67102),x67103),x67104))
% 92.29/92.09 [6792]~P107(x67921)+E(f317(f317(f92(f904(x67921,a893)),f293(x67921,x67922,x67923)),f317(f291(x67921),x67924)),f293(x67921,x67922,f317(f317(f228(x67921),x67923),x67924)))
% 92.29/92.09 [6793]~P107(x67931)+E(f317(f317(f92(f904(x67931,a893)),f293(x67931,x67932,x67933)),f317(f273(x67931),x67934)),f293(x67931,f317(f317(f223(x67931),x67932),x67934),x67933))
% 92.29/92.09 [6796]~E(f317(f179(f898(x67961)),x67963),f317(f179(f898(x67962)),x67964))+E(f317(f317(f171(x67961,x67962),f317(f158(x67961),x67963)),f317(f158(x67962),x67964)),f317(f158(f903(x67961,x67962)),f317(f317(f171(x67961,x67962),x67963),x67964)))
% 92.29/92.09 [6808]E(x68081,f317(f317(f23(a897),f317(f179(f898(x68082)),x68083)),f72(a897)))+E(f104(x68082,f317(f317(f149(x68082,x68083),x68081),x68084)),f317(f317(f149(x68082,f104(x68082,x68083)),x68081),x68084))
% 92.29/92.09 [6823]~P1(f317(f127(x68232),x68234))+P1(f317(f127(f903(x68231,x68232)),f317(f317(f171(x68231,x68232),x68233),x68234)))
% 92.29/92.09 [6824]~P1(f317(f127(x68241),x68243))+P1(f317(f127(f903(x68241,x68242)),f317(f317(f171(x68241,x68242),x68243),x68244)))
% 92.29/92.09 [7096]E(f317(f317(f31(a897),x70961),x70962),x70963)+~P1(f317(f44(x70961,x70962),f317(f317(f242(a897,a897),x70963),x70964)))
% 92.29/92.09 [7120]E(f41(a897,x71201,x71202),x71203)+~P1(f317(f44(x71201,x71202),f317(f317(f242(a897,a897),x71204),x71203)))
% 92.29/92.09 [7123]P1(f317(f127(x71231),x71232))+~P1(f317(f127(x71233),f317(f317(f144(x71231,x71233),x71234),x71232)))
% 92.29/92.09 [7206]E(f160(x72061,x72062,f317(f317(f124(x72061),x72063),x72064)),f317(f317(f124(x72061),f160(x72061,x72062,x72063)),x72064))+~P1(f317(f317(f319(x72061),x72062),f317(f162(x72061),x72063)))
% 92.29/92.09 [7272]E(f317(f94(a897),x72721),f2(a897))+E(f317(f317(f128(x72722),f317(f94(a897),x72721)),f317(f317(f141(x72722),x72723),x72724)),f317(f317(f128(x72722),f317(f317(f23(a897),f317(f94(a897),x72721)),f72(a897))),x72724))
% 92.29/92.09 [7299]~P4(x72991)+E(f41(x72991,f317(f317(f23(x72991),f41(x72991,x72992,x72993)),x72994),x72993),f41(x72991,f317(f317(f23(x72991),x72992),x72994),x72993))
% 92.29/92.09 [7300]~P3(x73001)+E(f41(x73001,f317(f317(f74(x73001),f41(x73001,x73002,x73003)),x73004),x73003),f41(x73001,f317(f317(f74(x73001),x73002),x73004),x73003))
% 92.29/92.09 [7301]~P3(x73011)+E(f41(x73011,f317(f317(f75(x73011),f41(x73011,x73012,x73013)),x73014),x73013),f41(x73011,f317(f317(f75(x73011),x73012),x73014),x73013))
% 92.29/92.09 [7302]~P3(x73021)+E(f41(x73021,f317(f317(f74(x73021),f41(x73021,x73022,x73023)),x73024),x73023),f41(x73021,f317(f317(f74(x73021),x73022),x73024),x73023))
% 92.29/92.09 [7303]~P3(x73031)+E(f41(x73031,f317(f317(f75(x73031),f41(x73031,x73032,x73033)),x73034),x73033),f41(x73031,f317(f317(f75(x73031),x73032),x73034),x73033))
% 92.29/92.09 [7497]~E(x74971,f317(f317(f141(x74972),x74973),x74974))+~P1(f317(f317(f224(a897),f317(f179(f898(x74972)),x74971)),f317(f179(f898(x74972)),x74974)))
% 92.29/92.09 [7701]P24(x77011,x77012,x77013,f317(f162(x77011),x77014))+~P1(f317(f127(x77012),f317(f317(f144(x77011,x77012),x77013),x77014)))
% 92.29/92.09 [7776]~P1(f317(f317(f224(f904(x77761,a893)),x77762),x77764))+P1(f317(f317(f224(f904(x77761,a893)),x77762),f317(f317(f299(x77761),x77763),x77764)))
% 92.29/92.09 [7812]~P4(x78121)+E(f41(x78121,f317(f317(f23(x78121),f41(x78121,x78122,x78123)),f41(x78121,x78124,x78123)),x78123),f41(x78121,f317(f317(f23(x78121),x78122),x78124),x78123))
% 92.29/92.09 [7813]~P3(x78131)+E(f41(x78131,f317(f317(f74(x78131),f41(x78131,x78132,x78133)),f41(x78131,x78134,x78133)),x78133),f41(x78131,f317(f317(f74(x78131),x78132),x78134),x78133))
% 92.29/92.09 [7814]~P3(x78141)+E(f41(x78141,f317(f317(f75(x78141),f41(x78141,x78142,x78143)),f41(x78141,x78144,x78143)),x78143),f41(x78141,f317(f317(f75(x78141),x78142),x78144),x78143))
% 92.29/92.09 [7918]~E(f317(x79184,f358(x79184,x79183,x79181,x79182)),f178(f904(x79182,a893)))+E(f317(f317(f35(x79181,f904(x79182,a893)),x79183),x79184),f178(f904(x79182,a893)))
% 92.29/92.09 [7919]~E(f317(x79194,f467(x79194,x79193,x79191,x79192)),f232(f904(x79192,a893)))+E(f317(f317(f36(x79191,f904(x79192,a893)),x79193),x79194),f232(f904(x79192,a893)))
% 92.29/92.09 [7920]~E(f317(x79204,f359(x79204,x79203,x79202,x79201)),f178(f904(x79202,a893)))+E(f317(f317(f35(x79201,f904(x79202,a893)),x79203),x79204),f178(f904(x79202,a893)))
% 92.29/92.09 [7921]~E(f317(x79214,f456(x79214,x79213,x79212,x79211)),f232(f904(x79212,a893)))+E(f317(f317(f36(x79211,f904(x79212,a893)),x79213),x79214),f232(f904(x79212,a893)))
% 92.29/92.09 [8311]P1(f317(x83111,x83112))+~P1(f317(f317(f319(x83113),x83112),f317(f317(f92(f904(x83113,a893)),x83114),f317(f252(x83113),x83111))))
% 92.29/92.09 [8348]~P1(f317(f317(f224(f904(x83481,a893)),x83483),x83484))+P1(f317(f317(f224(f904(x83481,a893)),f317(f317(f299(x83481),x83482),x83483)),f317(f317(f299(x83481),x83482),x83484)))
% 92.29/92.09 [8393]P1(f317(f317(f319(x83931),x83932),x83933))+~P1(f317(f317(f319(x83931),x83932),f317(f317(f92(f904(x83931,a893)),x83933),f317(f252(x83931),x83934))))
% 92.29/92.09 [8528]P1(f317(x85282,x85283))+E(f317(f317(f128(x85281),f317(f179(f898(x85281)),f167(x85281,x85282,f317(f317(f141(x85281),x85283),x85284)))),f317(f317(f141(x85281),x85283),x85284)),f317(f317(f141(x85281),x85283),x85284))
% 92.29/92.09 [8634]~P1(f317(f317(f225(a897),f317(x86344,x86342)),f317(x86344,x86343)))+P1(f317(f317(f319(f903(x86341,x86341)),f317(f317(f242(x86341,x86341),x86342),x86343)),f317(f317(f278(a897,x86341),a230),x86344)))
% 92.29/92.09 [8730]~P1(f317(x87302,f718(x87304,x87302,x87303,x87301)))+E(f167(x87301,x87302,f317(f317(f124(x87301),x87303),x87304)),f317(f317(f124(x87301),x87303),f167(x87301,x87302,x87304)))
% 92.29/92.09 [8807]P24(f898(x88071),f898(x88072),f317(f144(x88071,x88072),x88073),x88074)+~P24(x88071,x88072,x88073,f32(f904(x88071,a893),f317(f300(f898(x88071),f904(x88071,a893),f162(x88071)),x88074)))
% 92.29/92.09 [8882]~P1(f317(x88822,x88823))+E(f317(f317(f128(x88821),f317(f179(f898(x88821)),f167(x88821,x88822,f317(f317(f141(x88821),x88823),x88824)))),f317(f317(f141(x88821),x88823),x88824)),f317(f317(f128(x88821),f317(f179(f898(x88821)),f167(x88821,x88822,x88824))),x88824))
% 92.29/92.09 [8923]~E(x89232,x89233)+E(f317(f126(x89231,f317(f317(f8(a893,a893,x89231),a312),f317(a314,x89232))),f317(f317(f141(x89231),x89233),x89234)),f317(f126(x89231,f317(f317(f8(a893,a893,x89231),a312),f317(a314,x89232))),x89234))
% 92.29/92.09 [8933]E(f317(f317(f35(x89331,f904(x89332,a893)),x89333),x89334),f178(f904(x89332,a893)))+P1(f317(f317(f319(x89331),f358(x89334,x89333,x89331,x89332)),x89333))
% 92.29/92.09 [8934]E(f317(f317(f36(x89341,f904(x89342,a893)),x89343),x89344),f232(f904(x89342,a893)))+P1(f317(f317(f319(x89341),f467(x89344,x89343,x89341,x89342)),x89343))
% 92.29/92.09 [8935]E(f317(f317(f35(x89351,f904(x89352,a893)),x89353),x89354),f178(f904(x89352,a893)))+P1(f317(f317(f319(x89351),f359(x89354,x89353,x89352,x89351)),x89353))
% 92.29/92.09 [8936]E(f317(f317(f36(x89361,f904(x89362,a893)),x89363),x89364),f232(f904(x89362,a893)))+P1(f317(f317(f319(x89361),f456(x89364,x89363,x89362,x89361)),x89363))
% 92.29/92.09 [8974]P1(f317(f317(f225(a897),f317(x89741,x89742)),f317(x89741,x89743)))+~P1(f317(f317(f319(f903(x89744,x89744)),f317(f317(f242(x89744,x89744),x89742),x89743)),f317(f317(f278(a897,x89744),a230),x89741)))
% 92.29/92.09 [9000]E(f167(x90001,x90002,f317(f317(f124(x90001),x90003),x90004)),f317(f317(f124(x90001),x90003),f167(x90001,x90002,x90004)))+P1(f317(f317(f319(x90001),f718(x90004,x90002,x90003,x90001)),f317(f162(x90001),x90003)))
% 92.29/92.09 [9051]~P25(x90511,x90512,x90513,f232(f904(x90511,a893)),f232(f904(x90512,a893)))+E(f317(f300(x90511,x90512,x90513),f317(f73(f904(x90511,a893)),x90514)),f317(f73(f904(x90512,a893)),f317(f300(x90511,x90512,x90513),x90514)))
% 92.29/92.09 [9155]P1(f317(f317(f319(x91551),f418(x91552,x91553,x91554,x91551)),x91553))+~P1(f317(f317(f319(f904(x91551,a893)),x91554),f317(f317(f56(x91551),x91553),x91552)))
% 92.29/92.09 [9158]E(x91581,x91582)+~P1(f317(f317(f319(f903(x91583,x91583)),f317(f317(f242(x91583,x91583),x91581),x91582)),f317(f317(f173(f903(x91583,x91583),a893),f2(a897)),x91584)))
% 92.29/92.09 [9240]E(f317(f275(x92401,x92401,x92402),f317(f317(f299(x92401),f418(x92402,x92403,x92404,x92401)),f178(f904(x92401,a893)))),x92404)+~P1(f317(f317(f319(f904(x92401,a893)),x92404),f317(f317(f56(x92401),x92403),x92402)))
% 92.29/92.09 [9245]~P1(f317(f317(f319(f903(x92451,x92451)),f317(f317(f242(x92451,x92451),x92453),x92452)),f297(x92451,x92454)))+P1(f317(f317(f319(f903(x92451,x92451)),f317(f317(f242(x92451,x92451),x92452),x92453)),f297(x92451,f317(f276(x92451,x92451),x92454))))
% 92.29/92.09 [9258]~P3(x92581)+E(f317(f317(f74(x92581),f317(f317(f74(x92581),f317(f317(f75(x92581),x92582),f317(f317(f31(x92581),x92583),x92582))),f41(x92581,x92583,x92582))),x92584),f317(f317(f74(x92581),x92583),x92584))
% 92.29/92.09 [9269]~P1(f317(f317(f319(x92691),x92693),x92694))+P1(f317(f317(f319(f904(x92691,a893)),f317(f275(x92691,x92691,x92692),f317(f317(f299(x92691),x92693),f178(f904(x92691,a893))))),f317(f317(f56(x92691),x92694),x92692)))
% 92.29/92.09 [9281]P1(f317(f317(f319(f903(x92811,x92811)),f317(f317(f242(x92811,x92811),x92812),x92813)),f297(x92811,x92814)))+~P1(f317(f317(f319(f903(x92811,x92811)),f317(f317(f242(x92811,x92811),x92813),x92812)),f297(x92811,f317(f276(x92811,x92811),x92814))))
% 92.29/92.09 [9370]E(f317(f317(f149(x93701,f317(f158(x93701),x93702)),f317(f317(f23(a897),f317(f317(f23(a897),f317(f179(f898(x93701)),x93702)),x93703)),f72(a897))),x93704),f317(f158(x93701),f317(f317(f149(x93701,x93702),x93703),x93704)))+~P1(f317(f317(f225(a897),x93703),f317(f179(f898(x93701)),x93702)))
% 92.29/92.09 [9373]~P1(f317(x93732,f713(x93734,x93732,x93733,x93731)))+E(f317(f317(f128(x93731),f317(f179(f898(x93731)),f167(x93731,x93732,f317(f317(f124(x93731),x93733),x93734)))),f317(f317(f124(x93731),x93733),x93734)),f317(f317(f128(x93731),f317(f179(f898(x93731)),f167(x93731,x93732,x93734))),x93734))
% 92.29/92.09 [9419]~P24(x94192,x94191,x94193,f232(f904(x94192,a893)))+P1(f317(f317(f224(f904(x94191,a893)),f317(f300(x94192,x94191,x94193),f317(f73(f904(x94192,a893)),x94194))),f317(f73(f904(x94191,a893)),f317(f300(x94192,x94191,x94193),x94194))))
% 92.29/92.09 [9431]~P5(x94311)+E(f317(f132(x94311,x94312,f317(f7(x94312,x94311,x94311),f317(f317(f8(x94311,f904(x94311,x94311),x94312),f91(x94311)),x94313)),f178(x94311)),x94314),f317(f317(f35(x94312,x94311),f317(f162(x94312),x94314)),x94313))
% 92.29/92.09 [9432]~P5(x94321)+E(f317(f132(x94321,x94322,f317(f7(x94322,x94321,x94321),f317(f317(f8(x94321,f904(x94321,x94321),x94322),f92(x94321)),x94323)),f232(x94321)),x94324),f317(f317(f36(x94322,x94321),f317(f162(x94322),x94324)),x94323))
% 92.29/92.09 [9442]E(f317(f317(f128(x94421),f317(f179(f898(x94421)),f167(x94421,x94422,f317(f317(f124(x94421),x94423),x94424)))),f317(f317(f124(x94421),x94423),x94424)),f317(f317(f128(x94421),f317(f179(f898(x94421)),f167(x94421,x94422,x94424))),x94424))+P1(f317(f317(f319(x94421),f713(x94424,x94422,x94423,x94421)),f317(f162(x94421),x94423)))
% 92.29/92.09 [9512]~P1(f317(f317(f319(f903(f898(x95124),f898(x95124))),f317(f317(f242(f898(x95124),f898(x95124)),x95123),x95122)),f147(x95124,x95121)))+P1(f317(f317(f225(a897),f646(x95121,x95122,x95123,x95124)),f317(f179(f898(x95124)),x95123)))
% 92.29/92.09 [9513]~P3(x95131)+E(f317(f317(f74(x95131),f317(f317(f74(x95131),f317(f317(f75(x95131),f317(f317(f31(x95131),x95132),x95133)),x95133)),f41(x95131,x95132,x95133))),x95134),f317(f317(f74(x95131),x95132),x95134))
% 92.29/92.09 [9542]~P1(f317(f317(f319(f903(f898(x95421),f898(x95421))),f317(f317(f242(f898(x95421),f898(x95421)),x95422),x95423)),f317(f276(f898(x95421),f898(x95421)),f147(x95421,x95424))))+P1(f317(f317(f319(f903(f898(x95421),f898(x95421))),f317(f317(f242(f898(x95421),f898(x95421)),x95422),x95423)),f147(x95421,f317(f276(x95421,x95421),x95424))))
% 92.29/92.09 [9543]P1(f317(f317(f319(f903(f898(x95431),f898(x95431))),f317(f317(f242(f898(x95431),f898(x95431)),x95432),x95433)),f317(f276(f898(x95431),f898(x95431)),f147(x95431,x95434))))+~P1(f317(f317(f319(f903(f898(x95431),f898(x95431))),f317(f317(f242(f898(x95431),f898(x95431)),x95432),x95433)),f147(x95431,f317(f276(x95431,x95431),x95434))))
% 92.29/92.09 [9587]~P1(f317(f317(f319(x95871),x95873),f317(f254(x95871,x95872),x95874)))+P1(f317(f317(f319(f903(x95871,x95872)),f317(f317(f242(x95871,x95872),x95873),f536(x95874,x95872,x95873,x95871))),x95874))
% 92.29/92.09 [9588]~P1(f317(f317(f319(x95881),x95883),f317(f254(x95881,x95882),x95884)))+P1(f317(f317(f319(f903(x95881,x95882)),f317(f317(f242(x95881,x95882),x95883),f537(x95884,x95882,x95883,x95881))),x95884))
% 92.29/92.09 [9748]~P1(f317(f317(f319(f903(x97481,x97481)),f317(f317(f242(x97481,x97481),x97482),x97484)),f317(f317(f279(x97481,x97481,x97481),x97483),f297(x97481,x97483))))+P1(f317(f317(f319(f903(x97481,x97481)),f317(f317(f242(x97481,x97481),x97482),f605(x97483,x97484,x97482,x97481))),x97483))
% 92.29/92.09 [9906]P11(x99061,x99062,x99063,x99064)+P1(f317(f317(f319(f903(x99061,x99061)),f317(f317(f242(x99061,x99061),f824(x99062,x99064,x99063,x99061)),f823(x99062,x99064,x99063,x99061))),x99063))
% 92.29/92.09 [9913]~P1(f317(f317(f319(f903(x99132,x99131)),x99134),f317(f276(x99131,x99132),x99133)))+P1(f317(f317(f319(f903(x99131,x99132)),f317(f317(f242(x99131,x99132),f617(x99133,x99134,x99131,x99132)),f622(x99133,x99134,x99131,x99132))),x99133))
% 92.29/92.09 [9937]~P1(f317(f317(f319(f903(f898(x99371),f898(x99371))),f317(f317(f242(f898(x99371),f898(x99371)),x99374),x99373)),f147(x99371,x99372)))+P1(f317(f317(f319(f903(x99371,x99371)),f317(f317(f242(x99371,x99371),f663(x99372,x99373,x99374,x99371)),f664(x99372,x99373,x99374,x99371))),x99372))
% 92.29/92.09 [10027]~P1(f317(f317(f319(f903(f898(x100271),f898(x100271))),f317(f317(f242(f898(x100271),f898(x100271)),x100272),x100274)),f147(x100271,x100273)))+P1(f317(f317(f319(f903(x100271,x100271)),f317(f317(f242(x100271,x100271),f317(f317(f154(x100271),x100272),f646(x100273,x100274,x100272,x100271))),f647(x100273,x100274,x100272,x100271))),x100273))
% 92.29/92.09 [10047]~P1(f317(f29(x100472),x100474))+E(f317(f317(f317(f60(f904(x100471,a893),x100472,f91(f904(x100471,a893))),f317(f317(f7(x100472,f904(x100471,a893),f904(x100471,a893)),f317(f317(f8(x100471,f904(f904(x100471,a893),f904(x100471,a893)),x100472),f299(x100471)),x100473)),f178(f904(x100471,a893)))),f178(f904(x100471,a893))),x100474),f317(f300(x100472,x100471,x100473),x100474))
% 92.29/92.09 [10158]~P24(x101581,x101582,x101583,f232(f904(x101581,a893)))+P1(f317(f317(f224(f904(x101581,a893)),f317(f301(x101581,x101582,x101583),f317(f317(f299(x101582),x101584),f178(f904(x101582,a893))))),f317(f317(f299(x101581),f79(x101581,f317(f317(f7(x101581,x101582,a893),f317(f317(f8(x101582,f904(x101582,a893),x101581),a314),x101583)),x101584))),f178(f904(x101581,a893)))))
% 92.29/92.09 [5695]~E(f317(f317(f124(x56951),x56952),x56954),x56953)+E(f317(f317(f165(x56951),f317(f179(f898(x56951)),x56952)),x56953),x56952)
% 92.29/92.09 [5696]~E(f317(f317(f124(x56962),x56963),x56961),x56964)+E(x56961,f317(f317(f128(x56962),f317(f179(f898(x56962)),x56963)),x56964))
% 92.29/92.09 [5707]~E(x57074,f2(a897))+E(f317(f317(f154(x57071),f317(f317(f141(x57071),x57072),x57073)),x57074),x57072)
% 92.29/92.09 [6263]~P119(x62631)+E(f317(f317(f234(x62631),f317(f317(f234(x62631),x62632),x62633)),x62634),f317(f317(f234(x62631),x62632),f317(f317(f75(a897),x62633),x62634)))
% 92.29/92.09 [6264]~P81(x62641)+E(f317(f317(f234(x62641),f317(f317(f234(x62641),x62642),x62643)),x62644),f317(f317(f234(x62641),x62642),f317(f317(f75(a897),x62643),x62644)))
% 92.29/92.09 [6272]E(x62721,f2(a897))+E(f317(f317(f154(x62722),f317(f317(f141(x62722),x62723),x62724)),x62721),f317(f317(f154(x62722),x62724),f317(f317(f23(a897),x62721),f72(a897))))
% 92.29/92.09 [6299]~P119(x62991)+E(f317(f317(f74(x62991),f317(f317(f74(x62991),x62992),x62993)),x62994),f317(f317(f74(x62991),x62992),f317(f317(f74(x62991),x62993),x62994)))
% 92.29/92.09 [6300]~P119(x63001)+E(f317(f317(f75(x63001),f317(f317(f75(x63001),x63002),x63003)),x63004),f317(f317(f75(x63001),x63002),f317(f317(f75(x63001),x63003),x63004)))
% 92.29/92.09 [6301]~P122(x63011)+E(f317(f317(f281(x63011),f317(f317(f75(x63011),x63012),x63013)),x63014),f317(f317(f75(x63011),x63012),f317(f317(f281(x63011),x63013),x63014)))
% 92.29/92.09 [6302]~P72(x63021)+E(f317(f317(f74(x63021),f317(f317(f74(x63021),x63022),x63023)),x63024),f317(f317(f74(x63021),x63022),f317(f317(f74(x63021),x63023),x63024)))
% 92.29/92.09 [6303]~P119(x63031)+E(f317(f317(f74(x63031),f317(f317(f74(x63031),x63032),x63033)),x63034),f317(f317(f74(x63031),x63032),f317(f317(f74(x63031),x63033),x63034)))
% 92.29/92.09 [6304]~P73(x63041)+E(f317(f317(f75(x63041),f317(f317(f75(x63041),x63042),x63043)),x63044),f317(f317(f75(x63041),x63042),f317(f317(f75(x63041),x63043),x63044)))
% 92.29/92.09 [6305]~P119(x63051)+E(f317(f317(f75(x63051),f317(f317(f75(x63051),x63052),x63053)),x63054),f317(f317(f75(x63051),x63052),f317(f317(f75(x63051),x63053),x63054)))
% 92.29/92.09 [6307]~P107(x63071)+E(f317(f317(f228(x63071),f317(f317(f228(x63071),x63072),x63073)),x63074),f317(f317(f228(x63071),x63072),f317(f317(f228(x63071),x63073),x63074)))
% 92.29/92.09 [6308]~P107(x63081)+E(f317(f317(f228(x63081),f317(f317(f228(x63081),x63082),x63083)),x63084),f317(f317(f228(x63081),x63082),f317(f317(f228(x63081),x63083),x63084)))
% 92.29/92.09 [6309]~P107(x63091)+E(f317(f317(f223(x63091),f317(f317(f223(x63091),x63092),x63093)),x63094),f317(f317(f223(x63091),x63092),f317(f317(f223(x63091),x63093),x63094)))
% 92.29/92.09 [6310]~P107(x63101)+E(f317(f317(f223(x63101),f317(f317(f223(x63101),x63102),x63103)),x63104),f317(f317(f223(x63101),x63102),f317(f317(f223(x63101),x63103),x63104)))
% 92.29/92.09 [6311]~P98(x63111)+E(f317(f317(f91(x63111),f317(f317(f91(x63111),x63112),x63113)),x63114),f317(f317(f91(x63111),x63112),f317(f317(f91(x63111),x63113),x63114)))
% 92.29/92.09 [6312]~P98(x63121)+E(f317(f317(f91(x63121),f317(f317(f91(x63121),x63122),x63123)),x63124),f317(f317(f91(x63121),x63122),f317(f317(f91(x63121),x63123),x63124)))
% 92.29/92.09 [6313]~P99(x63131)+E(f317(f317(f91(x63131),f317(f317(f91(x63131),x63132),x63133)),x63134),f317(f317(f91(x63131),x63132),f317(f317(f91(x63131),x63133),x63134)))
% 92.29/92.09 [6314]~P99(x63141)+E(f317(f317(f92(x63141),f317(f317(f92(x63141),x63142),x63143)),x63144),f317(f317(f92(x63141),x63142),f317(f317(f92(x63141),x63143),x63144)))
% 92.29/92.09 [6315]~P104(x63151)+E(f317(f317(f92(x63151),f317(f317(f92(x63151),x63152),x63153)),x63154),f317(f317(f92(x63151),x63152),f317(f317(f92(x63151),x63153),x63154)))
% 92.29/92.09 [6316]~P104(x63161)+E(f317(f317(f92(x63161),f317(f317(f92(x63161),x63162),x63163)),x63164),f317(f317(f92(x63161),x63162),f317(f317(f92(x63161),x63163),x63164)))
% 92.29/92.09 [6325]~P3(x63251)+E(f41(x63251,f317(f317(f74(x63251),x63252),f317(f317(f75(x63251),x63253),x63254)),x63254),f41(x63251,x63252,x63254))
% 92.29/92.09 [6326]~P3(x63261)+E(f41(x63261,f317(f317(f74(x63261),x63262),f317(f317(f75(x63261),x63263),x63264)),x63263),f41(x63261,x63262,x63263))
% 92.29/92.09 [6468]E(f317(f317(f154(x64681),f317(f317(f165(x64681),x64682),x64683)),x64684),f317(f317(f154(x64681),x64683),x64684))+~P1(f317(f317(f225(a897),x64684),x64682))
% 92.29/92.09 [6649]~E(x66492,x66494)+P1(f317(f317(f162(x66491),f317(f317(f141(x66491),x66492),x66493)),x66494))
% 92.29/92.09 [6651]~P119(x66511)+E(f317(f317(f74(x66511),f317(f317(f74(x66511),x66512),x66513)),x66514),f317(f317(f74(x66511),f317(f317(f74(x66511),x66512),x66514)),x66513))
% 92.29/92.09 [6652]~P119(x66521)+E(f317(f317(f75(x66521),f317(f317(f75(x66521),x66522),x66523)),x66524),f317(f317(f75(x66521),f317(f317(f75(x66521),x66522),x66524)),x66523))
% 92.29/92.09 [6713]~P144(x67132)+E(f317(f317(f6(x67131,x67132),f317(f16(x67132,x67131),x67133)),x67134),f317(f317(f75(x67132),f317(f90(x67132),f317(f30(x67131),x67134))),x67133))
% 92.29/92.09 [6888]E(f317(f317(f92(f904(x68881,a893)),f317(f317(f299(x68881),x68882),x68883)),x68884),f317(f317(f92(f904(x68881,a893)),x68883),x68884))+P1(f317(f317(f319(x68881),x68882),x68884))
% 92.29/92.09 [6889]E(f317(f317(f92(f904(x68891,a893)),f317(f317(f299(x68891),x68892),x68893)),x68894),f317(f317(f92(f904(x68891,a893)),x68893),x68894))+P1(f317(f317(f319(x68891),x68892),x68894))
% 92.29/92.09 [6958]~P67(x69581)+E(f317(f317(f228(x69581),f317(f317(f23(x69581),x69582),x69583)),f317(f317(f23(x69581),x69584),x69583)),f317(f317(f23(x69581),f317(f317(f228(x69581),x69582),x69584)),x69583))
% 92.29/92.09 [6959]~P67(x69591)+E(f317(f317(f223(x69591),f317(f317(f23(x69591),x69592),x69593)),f317(f317(f23(x69591),x69594),x69593)),f317(f317(f23(x69591),f317(f317(f223(x69591),x69592),x69594)),x69593))
% 92.29/92.09 [6960]~P83(x69601)+E(f317(f317(f228(x69601),f317(f317(f74(x69601),x69602),x69603)),f317(f317(f74(x69601),x69604),x69603)),f317(f317(f74(x69601),f317(f317(f228(x69601),x69602),x69604)),x69603))
% 92.29/92.09 [6961]~P83(x69611)+E(f317(f317(f223(x69611),f317(f317(f74(x69611),x69612),x69613)),f317(f317(f74(x69611),x69614),x69613)),f317(f317(f74(x69611),f317(f317(f223(x69611),x69612),x69614)),x69613))
% 92.29/92.09 [6962]~P113(x69621)+E(f317(f317(f74(x69621),f317(f317(f75(x69621),x69622),x69623)),f317(f317(f75(x69621),x69624),x69623)),f317(f317(f75(x69621),f317(f317(f74(x69621),x69622),x69624)),x69623))
% 92.29/92.09 [6963]~P119(x69631)+E(f317(f317(f74(x69631),f317(f317(f75(x69631),x69632),x69633)),f317(f317(f75(x69631),x69634),x69633)),f317(f317(f75(x69631),f317(f317(f74(x69631),x69632),x69634)),x69633))
% 92.29/92.09 [6964]~P76(x69641)+E(f317(f317(f75(x69641),f317(f317(f234(x69641),x69642),x69643)),f317(f317(f234(x69641),x69644),x69643)),f317(f317(f234(x69641),f317(f317(f75(x69641),x69642),x69644)),x69643))
% 92.29/92.09 [6965]~P119(x69651)+E(f317(f317(f75(x69651),f317(f317(f234(x69651),x69652),x69653)),f317(f317(f234(x69651),x69654),x69653)),f317(f317(f234(x69651),f317(f317(f75(x69651),x69652),x69654)),x69653))
% 92.29/92.09 [6966]~P61(x69661)+E(f317(f317(f281(x69661),f317(f317(f234(x69661),x69662),x69663)),f317(f317(f234(x69661),x69664),x69663)),f317(f317(f234(x69661),f317(f317(f281(x69661),x69662),x69664)),x69663))
% 92.29/92.09 [6967]~P107(x69671)+E(f317(f317(f223(x69671),f317(f317(f228(x69671),x69672),x69673)),f317(f317(f228(x69671),x69674),x69673)),f317(f317(f228(x69671),f317(f317(f223(x69671),x69672),x69674)),x69673))
% 92.29/92.09 [6968]~P122(x69681)+E(f317(f317(f23(x69681),f317(f317(f281(x69681),x69682),x69683)),f317(f317(f281(x69681),x69684),x69683)),f317(f317(f281(x69681),f317(f317(f23(x69681),x69682),x69684)),x69683))
% 92.29/92.09 [6969]~P122(x69691)+E(f317(f317(f74(x69691),f317(f317(f281(x69691),x69692),x69693)),f317(f317(f281(x69691),x69694),x69693)),f317(f317(f281(x69691),f317(f317(f74(x69691),x69692),x69694)),x69693))
% 92.29/92.09 [6970]~P107(x69701)+E(f317(f317(f228(x69701),f317(f317(f223(x69701),x69702),x69703)),f317(f317(f223(x69701),x69704),x69703)),f317(f317(f223(x69701),f317(f317(f228(x69701),x69702),x69704)),x69703))
% 92.29/92.09 [6971]~P102(x69711)+E(f317(f317(f92(x69711),f317(f317(f91(x69711),x69712),x69713)),f317(f317(f91(x69711),x69714),x69713)),f317(f317(f91(x69711),f317(f317(f92(x69711),x69712),x69714)),x69713))
% 92.29/92.09 [6972]~P102(x69721)+E(f317(f317(f91(x69721),f317(f317(f92(x69721),x69722),x69723)),f317(f317(f92(x69721),x69724),x69723)),f317(f317(f92(x69721),f317(f317(f91(x69721),x69722),x69724)),x69723))
% 92.29/92.09 [6973]~P119(x69731)+E(f317(f317(f74(x69731),f317(f317(f75(x69731),x69732),x69733)),f317(f317(f75(x69731),x69734),x69733)),f317(f317(f75(x69731),f317(f317(f74(x69731),x69732),x69734)),x69733))
% 92.29/92.09 [7007]E(f317(f317(f149(x70071,x70072),x70073),x70074),x70072)+~P1(f317(f317(f224(a897),f317(f179(f898(x70071)),x70072)),x70073))
% 92.29/92.09 [7034]~P1(f317(x70343,x70344))+P1(f317(f317(f317(f91(f904(x70341,a893)),x70342),x70343),x70344))
% 92.29/92.09 [7035]~P1(f317(x70353,x70354))+P1(f317(f317(f317(f91(f904(x70351,a893)),x70352),x70353),x70354))
% 92.29/92.09 [7036]~P1(f317(x70362,x70364))+P1(f317(f317(f317(f91(f904(x70361,a893)),x70362),x70363),x70364))
% 92.29/92.09 [7037]~P1(f317(x70372,x70374))+P1(f317(f317(f317(f91(f904(x70371,a893)),x70372),x70373),x70374))
% 92.29/92.09 [7057]E(f317(f317(f154(x70571),f317(f317(f124(x70571),x70572),x70573)),x70574),f317(f317(f154(x70571),x70572),x70574))+~P1(f317(f317(f225(a897),x70574),f317(f179(f898(x70571)),x70572)))
% 92.29/92.09 [7067]E(f317(f317(f23(f904(x70671,a893)),f317(f317(f299(x70671),x70672),x70673)),x70674),f317(f317(f23(f904(x70671,a893)),x70673),x70674))+~P1(f317(f317(f319(x70671),x70672),x70674))
% 92.29/92.09 [7068]E(f317(f317(f23(f904(x70681,a893)),f317(f317(f299(x70681),x70682),x70683)),x70684),f317(f317(f23(f904(x70681,a893)),x70683),x70684))+~P1(f317(f317(f319(x70681),x70682),x70684))
% 92.29/92.09 [7109]~E(f129(a897,f317(f292(a897,x71091),x71092)),f317(f317(f141(a897),x71094),x71093))+E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x71091),f72(a897))),x71092)),x71093)
% 92.29/92.09 [7131]~P1(f317(f317(f162(x71311),x71313),x71314))+P1(f317(f317(f162(x71311),f317(f317(f141(x71311),x71312),x71313)),x71314))
% 92.29/92.09 [7181]E(x71811,f2(a897))+E(f317(f317(f141(x71812),x71813),f317(f317(f165(x71812),f317(f317(f23(a897),x71811),f72(a897))),x71814)),f317(f317(f165(x71812),x71811),f317(f317(f141(x71812),x71813),x71814)))
% 92.29/92.09 [7283]E(f317(f317(f154(x72831),x72832),f317(f317(f23(a897),x72833),f317(f179(f898(x72831)),x72834))),f317(f317(f154(x72831),f317(f317(f124(x72831),x72834),x72832)),x72833))+P1(f317(f317(f225(a897),x72833),f317(f179(f898(x72831)),x72834)))
% 92.29/92.09 [7310]E(f317(f317(f92(f904(x73101,a893)),x73102),f317(f317(f299(x73101),x73103),x73104)),f317(f317(f299(x73101),x73103),f317(f317(f92(f904(x73101,a893)),x73102),x73104)))+~P1(f317(f317(f319(x73101),x73103),x73102))
% 92.29/92.09 [7311]E(f317(f317(f92(f904(x73111,a893)),x73112),f317(f317(f299(x73111),x73113),x73114)),f317(f317(f299(x73111),x73113),f317(f317(f92(f904(x73111,a893)),x73112),x73114)))+~P1(f317(f317(f319(x73111),x73113),x73112))
% 92.29/92.09 [7349]E(f317(f317(f154(x73491),f317(f317(f149(x73491,x73492),x73493),x73494)),x73493),x73494)+~P1(f317(f317(f225(a897),x73493),f317(f179(f898(x73491)),x73492)))
% 92.29/92.09 [7371]E(x73711,f178(f904(x73712,a893)))+E(f317(f300(f903(x73713,x73712),x73713,f241(x73713,x73712)),f317(f317(f244(x73713,x73712),x73714),f317(f16(f904(x73712,a893),x73713),x73711))),x73714)
% 92.29/92.09 [7372]E(x73721,f178(f904(x73722,a893)))+E(f317(f300(f903(x73722,x73723),x73723,f246(x73722,x73723)),f317(f317(f244(x73722,x73723),x73721),f317(f16(f904(x73723,a893),x73722),x73724))),x73724)
% 92.29/92.09 [7447]E(f317(f317(f23(f904(x74471,a893)),f317(f317(f299(x74471),x74472),x74473)),x74474),f317(f317(f299(x74471),x74472),f317(f317(f23(f904(x74471,a893)),x74473),x74474)))+P1(f317(f317(f319(x74471),x74472),x74474))
% 92.29/92.09 [7483]~E(x74834,f178(f904(x74832,a893)))+E(f317(f300(f903(x74831,x74832),x74831,f241(x74831,x74832)),f317(f317(f244(x74831,x74832),x74833),f317(f16(f904(x74832,a893),x74831),x74834))),f178(f904(x74831,a893)))
% 92.29/92.09 [7484]~E(x74843,f178(f904(x74841,a893)))+E(f317(f300(f903(x74841,x74842),x74842,f246(x74841,x74842)),f317(f317(f244(x74841,x74842),x74843),f317(f16(f904(x74842,a893),x74841),x74844))),f178(f904(x74842,a893)))
% 92.29/92.09 [7534]~P1(f317(f317(f319(x75341),x75342),x75344))+P1(f317(f317(f319(x75341),x75342),f317(f317(f91(f904(x75341,a893)),x75343),x75344)))
% 92.29/92.09 [7535]~P1(f317(f317(f319(x75351),x75352),x75354))+P1(f317(f317(f319(x75351),x75352),f317(f317(f91(f904(x75351,a893)),x75353),x75354)))
% 92.29/92.09 [7536]~P1(f317(f317(f319(x75361),x75362),x75364))+P1(f317(f317(f319(x75361),x75362),f317(f317(f91(f904(x75361,a893)),x75363),x75364)))
% 92.29/92.09 [7537]~P1(f317(f317(f319(x75371),x75372),x75373))+P1(f317(f317(f319(x75371),x75372),f317(f317(f91(f904(x75371,a893)),x75373),x75374)))
% 92.29/92.09 [7538]~P1(f317(f317(f319(x75381),x75382),x75383))+P1(f317(f317(f319(x75381),x75382),f317(f317(f91(f904(x75381,a893)),x75383),x75384)))
% 92.29/92.09 [7539]~P1(f317(f317(f319(x75391),x75392),x75393))+P1(f317(f317(f319(x75391),x75392),f317(f317(f91(f904(x75391,a893)),x75393),x75394)))
% 92.29/92.09 [7556]E(f317(f317(f92(f904(x75561,a893)),f317(f317(f299(x75561),x75562),x75563)),x75564),f317(f317(f299(x75561),x75562),f317(f317(f92(f904(x75561,a893)),x75563),x75564)))+~P1(f317(f317(f319(x75561),x75562),x75564))
% 92.29/92.09 [7557]E(f317(f317(f92(f904(x75571,a893)),f317(f317(f299(x75571),x75572),x75573)),x75574),f317(f317(f299(x75571),x75572),f317(f317(f92(f904(x75571,a893)),x75573),x75574)))+~P1(f317(f317(f319(x75571),x75572),x75574))
% 92.29/92.09 [7832]P1(f317(x78321,x78322))+~P1(f317(f317(f317(f92(f904(x78323,a893)),x78324),x78321),x78322))
% 92.29/92.09 [7833]P1(f317(x78331,x78332))+~P1(f317(f317(f317(f92(f904(x78333,a893)),x78331),x78334),x78332))
% 92.29/92.09 [7834]P1(f317(x78341,x78342))+~P1(f317(f317(f317(f92(f904(x78343,a893)),x78344),x78341),x78342))
% 92.29/92.09 [7835]P1(f317(x78351,x78352))+~P1(f317(f317(f317(f92(f904(x78353,a893)),x78351),x78354),x78352))
% 92.29/92.09 [7836]E(f317(f317(f6(x78361,a897),x78362),f317(f317(f23(f904(x78361,a893)),x78363),f317(f317(f299(x78361),x78364),f178(f904(x78361,a893))))),f317(f317(f6(x78361,a897),x78362),x78363))+P1(f317(f317(f319(x78361),x78364),x78363))
% 92.29/92.09 [7841]~P77(x78411)+E(f317(f155(x78411),f317(f317(f144(a897,x78411),x78412),f129(a897,f317(f292(a897,x78413),x78414)))),f317(f317(f6(a897,x78411),x78412),f317(f162(a897),f129(a897,f317(f292(a897,x78413),x78414)))))
% 92.29/92.09 [7842]~P77(x78421)+E(f317(f317(f6(a897,x78421),x78422),f317(f162(a897),f129(a897,f317(f292(a897,x78423),x78424)))),f317(f155(x78421),f317(f317(f144(a897,x78421),x78422),f129(a897,f317(f292(a897,x78423),x78424)))))
% 92.29/92.09 [7956]~E(x79563,x79564)+P1(f317(f57(x79561,x79562,f317(f317(f299(x79561),x79563),f178(f904(x79561,a893)))),x79564))
% 92.29/92.09 [8053]P1(f317(f317(f319(x80531),x80532),f317(f162(x80531),x80533)))+~P1(f317(f317(f319(x80531),x80532),f317(f162(x80531),f317(f317(f165(x80531),x80534),x80533))))
% 92.29/92.09 [8054]P1(f317(f317(f319(x80541),x80542),f317(f162(x80541),x80543)))+~P1(f317(f317(f319(x80541),x80542),f317(f162(x80541),f317(f317(f128(x80541),x80544),x80543))))
% 92.29/92.09 [8121]P1(f317(f317(f319(x81211),x81212),x81213))+~P1(f317(f317(f319(x81211),x81212),f317(f317(f92(f904(x81211,a893)),x81214),x81213)))
% 92.29/92.09 [8122]P1(f317(f317(f319(x81221),x81222),x81223))+~P1(f317(f317(f319(x81221),x81222),f317(f317(f23(f904(x81221,a893)),x81223),x81224)))
% 92.29/92.09 [8123]P1(f317(f317(f319(x81231),x81232),x81233))+~P1(f317(f317(f319(x81231),x81232),f317(f317(f23(f904(x81231,a893)),x81233),x81234)))
% 92.29/92.09 [8124]P1(f317(f317(f319(x81241),x81242),x81243))+~P1(f317(f317(f319(x81241),x81242),f317(f317(f23(f904(x81241,a893)),x81243),x81244)))
% 92.29/92.09 [8125]P1(f317(f317(f319(x81251),x81252),x81253))+~P1(f317(f317(f319(x81251),x81252),f317(f317(f92(f904(x81251,a893)),x81254),x81253)))
% 92.29/92.09 [8126]P1(f317(f317(f319(x81261),x81262),x81263))+~P1(f317(f317(f319(x81261),x81262),f317(f317(f92(f904(x81261,a893)),x81264),x81263)))
% 92.29/92.09 [8127]P1(f317(f317(f319(x81271),x81272),x81273))+~P1(f317(f317(f319(x81271),x81272),f317(f317(f92(f904(x81271,a893)),x81273),x81274)))
% 92.29/92.09 [8128]P1(f317(f317(f319(x81281),x81282),x81283))+~P1(f317(f317(f319(x81281),x81282),f317(f317(f92(f904(x81281,a893)),x81283),x81284)))
% 92.29/92.09 [8129]P1(f317(f317(f319(x81291),x81292),x81293))+~P1(f317(f317(f319(x81291),x81292),f317(f317(f92(f904(x81291,a893)),x81293),x81294)))
% 92.29/92.09 [8144]E(f317(f317(f124(x81441),f317(f317(f165(x81441),x81442),x81443)),f317(f317(f141(x81441),x81444),f317(f317(f128(x81441),f317(a102,x81442)),x81443))),f317(f317(f149(x81441,x81443),x81442),x81444))+~P1(f317(f317(f225(a897),x81442),f317(f179(f898(x81441)),x81443)))
% 92.29/92.09 [8167]P1(f317(f317(f319(x81671),x81672),x81673))+~P1(f317(f317(f224(f904(x81671,a893)),f317(f317(f299(x81671),x81672),x81674)),x81673))
% 92.29/92.09 [8202]~P1(f317(f317(f319(x82021),x82022),x82023))+~P1(f317(f317(f319(x82021),x82022),f317(f317(f23(f904(x82021,a893)),x82024),x82023)))
% 92.29/92.09 [8203]~P1(f317(f317(f319(x82031),x82032),x82033))+~P1(f317(f317(f319(x82031),x82032),f317(f317(f23(f904(x82031,a893)),x82034),x82033)))
% 92.29/92.09 [8204]~P1(f317(f317(f319(x82041),x82042),x82043))+~P1(f317(f317(f319(x82041),x82042),f317(f317(f23(f904(x82041,a893)),x82044),x82043)))
% 92.29/92.09 [8237]~P1(f317(f317(f225(a897),x82374),f317(f179(f898(x82371)),x82373)))+P1(f317(f317(f319(x82371),x82372),f317(f162(x82371),f317(f317(f149(x82371,x82373),x82374),x82372))))
% 92.29/92.09 [8281]E(f317(f94(a897),x82811),f2(a897))+E(f317(f317(f141(x82812),x82813),f317(f317(f165(x82812),f317(f317(f23(a897),f317(f94(a897),x82811)),f72(a897))),x82814)),f317(f317(f165(x82812),f317(f94(a897),x82811)),f317(f317(f141(x82812),x82813),x82814)))
% 92.29/92.09 [8290]E(f317(f317(f154(x82901),f317(f317(f128(x82901),x82902),x82903)),x82904),f317(f317(f154(x82901),x82903),f317(f317(f74(a897),x82902),x82904)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x82902),x82904)),f317(f179(f898(x82901)),x82903)))
% 92.29/92.09 [8299]~P144(x82992)+E(f317(f317(f6(x82991,x82992),f317(f317(f8(a897,x82992,x82991),f90(x82992)),x82993)),x82994),f317(f90(x82992),f317(f317(f6(x82991,a897),x82993),x82994)))
% 92.29/92.09 [8300]~P140(x83002)+E(f317(f317(f6(x83001,x83002),f317(f317(f8(a1,x83002,x83001),f93(x83002)),x83003)),x83004),f317(f93(x83002),f317(f317(f6(x83001,a1),x83003),x83004)))
% 92.29/92.09 [8350]~P64(x83502)+E(f317(f317(f9(x83501,x83502),f317(f317(f8(x83502,x83502,x83501),f70(x83502)),x83503)),x83504),f317(f70(x83502),f317(f317(f9(x83501,x83502),x83503),x83504)))
% 92.29/92.09 [8351]~P68(x83512)+E(f317(f317(f6(x83511,x83512),f317(f317(f8(x83512,x83512,x83511),f73(x83512)),x83513)),x83514),f317(f73(x83512),f317(f317(f6(x83511,x83512),x83513),x83514)))
% 92.29/92.09 [8354]E(f317(f317(f6(x83541,a897),x83542),f317(f317(f23(f904(x83541,a893)),x83543),f317(f317(f299(x83541),x83544),f178(f904(x83541,a893))))),f317(f317(f23(a897),f317(f317(f6(x83541,a897),x83542),x83543)),f317(x83542,x83544)))+~P1(f317(f317(f319(x83541),x83544),x83543))
% 92.29/92.09 [8373]P1(f317(f317(f224(f904(x83731,a893)),x83732),x83733))+~P1(f317(f317(f224(f904(x83731,a893)),f317(f317(f299(x83731),x83734),x83732)),x83733))
% 92.29/92.09 [8496]~E(f317(f300(x84962,x84963,x84961),f232(f904(x84962,a893))),f232(f904(x84963,a893)))+E(f317(x84961,f317(f85(x84962,x84963,f232(f904(x84962,a893)),x84961),x84964)),x84964)
% 92.29/92.09 [8497]~E(f317(f300(x84972,x84973,x84971),f232(f904(x84972,a893))),f232(f904(x84973,a893)))+E(f317(x84971,f317(f85(x84972,x84973,f232(f904(x84972,a893)),x84971),x84974)),x84974)
% 92.29/92.09 [8580]P36(x85801,x85802)+~P36(x85801,f317(f317(f299(f903(x85801,x85801)),f317(f317(f242(x85801,x85801),x85803),x85804)),x85802))
% 92.29/92.09 [8581]P57(x85811,x85812)+~P57(x85811,f317(f317(f299(f903(x85811,x85811)),f317(f317(f242(x85811,x85811),x85813),x85814)),x85812))
% 92.29/92.09 [8586]~P107(x85861)+E(f317(f317(f138(x85861,x85861,f5(x85861)),x85862),f317(f317(f138(x85861,x85861,f5(x85861)),x85863),x85864)),f317(f317(f138(x85861,x85861,f5(x85861)),x85863),f317(f317(f138(x85861,x85861,f5(x85861)),x85862),x85864)))
% 92.29/92.09 [8601]E(x86011,x86012)+~P1(f317(f57(x86013,x86014,f317(f317(f299(x86013),x86011),f178(f904(x86013,a893)))),x86012))
% 92.29/92.09 [8610]E(f317(f317(f124(x86101),f317(f317(f165(x86101),x86102),x86103)),f317(f317(f165(x86101),x86104),f317(f317(f128(x86101),x86102),x86103))),f317(f317(f165(x86101),f317(f317(f74(a897),x86102),x86104)),x86103))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x86102),x86104)),f317(f179(f898(x86101)),x86103)))
% 92.29/92.09 [8649]P1(f317(f29(x86491),x86492))+~E(x86492,f317(f300(a897,x86491,x86493),f317(f252(a897),f317(f317(f7(a897,a897,a893),f225(a897)),x86494))))
% 92.29/92.09 [8650]P1(f317(f29(x86501),x86502))+~E(x86502,f317(f300(a897,x86501,x86503),f317(f252(a897),f317(f317(f7(a897,a897,a893),f225(a897)),x86504))))
% 92.29/92.09 [8670]~P91(x86701)+E(f317(f132(x86701,x86701,f74(x86701),f317(f317(f74(x86701),x86702),x86703)),x86704),f317(f317(f74(x86701),x86702),f317(f132(x86701,x86701,f74(x86701),x86703),x86704)))
% 92.29/92.09 [8706]P1(f317(f317(f224(f904(x87061,a893)),f317(f254(x87061,x87062),x87063)),f317(f254(x87061,x87062),x87064)))+~P1(f317(f317(f224(f904(f903(x87061,x87062),a893)),x87063),x87064))
% 92.29/92.09 [8718]~P1(f317(f317(f224(a897),x87182),x87184))+P1(f317(f317(f224(f904(x87181,a893)),f317(f162(x87181),f317(f317(f165(x87181),x87182),x87183))),f317(f162(x87181),f317(f317(f165(x87181),x87184),x87183))))
% 92.29/92.09 [8719]~P1(f317(f317(f224(a897),x87194),x87192))+P1(f317(f317(f224(f904(x87191,a893)),f317(f162(x87191),f317(f317(f128(x87191),x87192),x87193))),f317(f162(x87191),f317(f317(f128(x87191),x87194),x87193))))
% 92.29/92.09 [8776]~P1(f317(f29(x87761),f317(f317(f23(f904(x87761,a893)),x87762),x87764)))+P1(f317(f29(x87761),f317(f317(f23(f904(x87761,a893)),x87762),f317(f317(f299(x87761),x87763),x87764))))
% 92.29/92.09 [8817]P1(f317(f317(f319(f903(x88171,x88171)),x88172),f297(x88171,x88173)))+~P1(f317(f317(f319(f903(x88171,x88171)),x88172),f317(f317(f173(f903(x88171,x88171),a893),x88174),x88173)))
% 92.29/92.09 [8818]P1(f317(f317(f319(f903(x88181,x88181)),x88182),f297(x88181,x88183)))+~P1(f317(f317(f319(f903(x88181,x88181)),x88182),f317(f317(f173(f903(x88181,x88181),a893),x88184),x88183)))
% 92.29/92.09 [8904]~P1(f317(f29(x89041),f317(f317(f23(f904(x89041,a893)),x89042),f317(f317(f299(x89041),x89044),x89043))))+P1(f317(f29(x89041),f317(f317(f23(f904(x89041,a893)),x89042),x89043)))
% 92.29/92.09 [8979]P1(f317(f317(f319(f903(x89791,x89792)),f317(f317(f242(x89791,x89792),x89793),x89794)),f178(f904(f903(x89791,x89792),a893))))+~P1(f317(f317(f178(f904(x89791,f904(x89792,a893))),x89793),x89794))
% 92.29/92.09 [9115]~P107(x91151)+P1(f317(f317(f224(x91151),f317(f317(f223(x91151),x91152),f317(f317(f228(x91151),x91153),x91154))),f317(f317(f228(x91151),f317(f317(f223(x91151),x91152),x91153)),f317(f317(f223(x91151),x91152),x91154))))
% 92.29/92.09 [9116]~P99(x91161)+P1(f317(f317(f224(x91161),f317(f317(f91(x91161),x91162),f317(f317(f92(x91161),x91163),x91164))),f317(f317(f92(x91161),f317(f317(f91(x91161),x91162),x91163)),f317(f317(f91(x91161),x91162),x91164))))
% 92.29/92.09 [9134]~P1(f317(f317(f319(f903(x91341,x91342)),f317(f317(f242(x91341,x91342),x91343),x91344)),f178(f904(f903(x91341,x91342),a893))))+P1(f317(f317(f178(f904(x91341,f904(x91342,a893))),x91343),x91344))
% 92.29/92.09 [9265]E(x92651,x92652)+~P1(f317(f317(f319(f903(x92653,x92653)),f317(f317(f242(x92653,x92653),x92651),x92652)),f317(f162(f903(x92653,x92653)),f317(f317(f171(x92653,x92653),x92654),x92654))))
% 92.29/92.09 [9296]~P1(f317(f317(f319(f903(x92961,x92961)),f317(f317(f242(x92961,x92961),x92963),x92962)),f297(x92961,x92964)))+~P36(x92961,f317(f317(f299(f903(x92961,x92961)),f317(f317(f242(x92961,x92961),x92962),x92963)),x92964))
% 92.29/92.09 [9297]~P1(f317(f317(f319(f903(x92971,x92971)),f317(f317(f242(x92971,x92971),x92973),x92972)),f297(x92971,x92974)))+~P57(x92971,f317(f317(f299(f903(x92971,x92971)),f317(f317(f242(x92971,x92971),x92972),x92973)),x92974))
% 92.29/92.09 [9301]E(x93011,x93012)+E(f317(f126(x93013,f317(f317(f8(a893,a893,x93013),a312),f317(a314,x93011))),f317(f317(f141(x93013),x93012),x93014)),f317(f317(f141(x93013),x93012),f317(f126(x93013,f317(f317(f8(a893,a893,x93013),a312),f317(a314,x93011))),x93014)))
% 92.29/92.09 [9310]P1(f317(f317(f319(x93101),x93102),f317(f162(x93101),x93103)))+~P1(f317(f317(f319(f903(x93101,x93101)),f317(f317(f242(x93101,x93101),x93102),x93104)),f317(f162(f903(x93101,x93101)),f317(f317(f171(x93101,x93101),x93103),x93103))))
% 92.29/92.09 [9332]~P25(x93322,x93321,x93323,f232(f904(x93322,a893)),f232(f904(x93321,a893)))+E(f317(f300(x93321,x93322,f85(x93322,x93321,f232(f904(x93322,a893)),x93323)),x93324),f317(f301(x93322,x93321,x93323),x93324))
% 92.29/92.09 [9348]~P107(x93481)+P1(f317(f317(f224(x93481),f317(f317(f223(x93481),f317(f317(f228(x93481),x93482),x93483)),f317(f317(f228(x93481),x93482),x93484))),f317(f317(f228(x93481),x93482),f317(f317(f223(x93481),x93483),x93484))))
% 92.29/92.09 [9349]~P99(x93491)+P1(f317(f317(f224(x93491),f317(f317(f91(x93491),f317(f317(f92(x93491),x93492),x93493)),f317(f317(f92(x93491),x93492),x93494))),f317(f317(f92(x93491),x93492),f317(f317(f91(x93491),x93493),x93494))))
% 92.29/92.09 [9389]P1(f317(f317(f319(f903(x93891,x93891)),f317(f317(f242(x93891,x93891),x93892),x93893)),f317(f317(f279(x93891,x93891,x93891),x93894),f297(x93891,x93894))))+~P1(f317(f317(f319(f903(x93891,x93891)),f317(f317(f242(x93891,x93891),x93892),x93893)),x93894))
% 92.29/92.09 [9413]~P25(x94132,x94131,x94134,f232(f904(x94132,a893)),f232(f904(x94131,a893)))+E(f317(f252(x94131),f317(f317(f8(x94132,a893,x94131),x94133),f85(x94132,x94131,f232(f904(x94132,a893)),x94134))),f317(f300(x94132,x94131,x94134),f317(f252(x94132),x94133)))
% 92.29/92.09 [9427]~E(f317(f300(x94272,x94271,x94273),f232(f904(x94272,a893))),f232(f904(x94271,a893)))+P1(f317(f317(f224(f904(x94271,a893)),f317(f73(f904(x94271,a893)),f317(f300(x94272,x94271,x94273),x94274))),f317(f300(x94272,x94271,x94273),f317(f73(f904(x94272,a893)),x94274))))
% 92.29/92.09 [9761]P1(f317(f317(f319(f903(x97611,x97611)),f317(f317(f242(x97611,x97611),x97612),x97613)),f317(f276(x97611,x97611),f317(f317(f279(x97611,x97611,x97611),x97614),f297(x97611,x97614)))))+~P1(f317(f317(f319(f903(x97611,x97611)),f317(f317(f242(x97611,x97611),x97612),x97613)),f317(f317(f279(x97611,x97611,x97611),f317(f276(x97611,x97611),x97614)),f297(x97611,f317(f276(x97611,x97611),x97614)))))
% 92.29/92.09 [9762]~P1(f317(f317(f319(f903(x97621,x97621)),f317(f317(f242(x97621,x97621),x97622),x97623)),f317(f276(x97621,x97621),f317(f317(f279(x97621,x97621,x97621),x97624),f297(x97621,x97624)))))+P1(f317(f317(f319(f903(x97621,x97621)),f317(f317(f242(x97621,x97621),x97622),x97623)),f317(f317(f279(x97621,x97621,x97621),f317(f276(x97621,x97621),x97624)),f297(x97621,f317(f276(x97621,x97621),x97624)))))
% 92.29/92.09 [9783]~P1(f317(f317(f319(x97832),x97834),f317(f274(x97831,x97832),x97833)))+P1(f317(f317(f319(f903(x97831,x97832)),f317(f317(f242(x97831,x97832),f528(x97833,x97831,x97834,x97832)),x97834)),x97833))
% 92.29/92.09 [9784]~P1(f317(f317(f319(x97842),x97844),f317(f274(x97841,x97842),x97843)))+P1(f317(f317(f319(f903(x97841,x97842)),f317(f317(f242(x97841,x97842),f529(x97843,x97841,x97844,x97842)),x97844)),x97843))
% 92.29/92.09 [9809]~P1(f317(f317(f319(x98091),x98094),f317(f317(f91(f904(x98091,a893)),x98092),x98093)))+P1(f317(f317(f317(f91(f904(x98091,a893)),f317(f317(f7(x98091,f904(x98091,a893),a893),f319(x98091)),x98092)),f317(f317(f7(x98091,f904(x98091,a893),a893),f319(x98091)),x98093)),x98094))
% 92.29/92.09 [9810]~P1(f317(f317(f319(x98101),x98104),f317(f317(f92(f904(x98101,a893)),x98102),x98103)))+P1(f317(f317(f317(f92(f904(x98101,a893)),f317(f317(f7(x98101,f904(x98101,a893),a893),f319(x98101)),x98102)),f317(f317(f7(x98101,f904(x98101,a893),a893),f319(x98101)),x98103)),x98104))
% 92.29/92.09 [9890]~P1(f317(f317(f319(f903(x98901,x98901)),f317(f317(f242(x98901,x98901),x98904),x98903)),f317(f317(f279(x98901,x98901,x98901),x98902),f297(x98901,x98902))))+P1(f317(f317(f319(f903(x98901,x98901)),f317(f317(f242(x98901,x98901),f610(x98902,x98903,x98904,x98901)),x98903)),x98902))
% 92.29/92.09 [9925]P1(f317(f317(f319(x99251),x99252),f317(f317(f91(f904(x99251,a893)),x99253),x99254)))+~P1(f317(f317(f317(f91(f904(x99251,a893)),f317(f317(f7(x99251,f904(x99251,a893),a893),f319(x99251)),x99253)),f317(f317(f7(x99251,f904(x99251,a893),a893),f319(x99251)),x99254)),x99252))
% 92.29/92.09 [9926]P1(f317(f317(f319(x99261),x99262),f317(f317(f92(f904(x99261,a893)),x99263),x99264)))+~P1(f317(f317(f317(f92(f904(x99261,a893)),f317(f317(f7(x99261,f904(x99261,a893),a893),f319(x99261)),x99263)),f317(f317(f7(x99261,f904(x99261,a893),a893),f319(x99261)),x99264)),x99262))
% 92.29/92.09 [10208]P31(x102081,f317(f317(f7(x102081,f904(f903(x102081,x102081),a893),f904(x102081,a893)),f317(f317(f8(f904(x102081,f904(f904(f903(x102081,x102081),a893),a893)),f904(f904(f903(x102081,x102081),a893),f904(x102081,a893)),x102081),f7(x102081,f904(f903(x102081,x102081),a893),a893)),f317(f317(f8(f904(x102081,f903(x102081,x102081)),f904(x102081,f904(f904(f903(x102081,x102081),a893),a893)),x102081),f317(f8(f903(x102081,x102081),f904(f904(f903(x102081,x102081),a893),a893),x102081),f319(f903(x102081,x102081)))),f242(x102081,x102081)))),x102082),x102083,x102084)+~P1(f317(f317(f319(f903(f898(x102081),f898(x102081))),f317(f317(f242(f898(x102081),f898(x102081)),x102083),x102084)),f148(x102081,x102082)))
% 92.29/92.09 [10212]P58(x102121,f317(f317(f7(x102121,f904(f903(x102121,x102121),a893),f904(x102121,a893)),f317(f317(f8(f904(x102121,f904(f904(f903(x102121,x102121),a893),a893)),f904(f904(f903(x102121,x102121),a893),f904(x102121,a893)),x102121),f7(x102121,f904(f903(x102121,x102121),a893),a893)),f317(f317(f8(f904(x102121,f903(x102121,x102121)),f904(x102121,f904(f904(f903(x102121,x102121),a893),a893)),x102121),f317(f8(f903(x102121,x102121),f904(f904(f903(x102121,x102121),a893),a893),x102121),f319(f903(x102121,x102121)))),f242(x102121,x102121)))),x102122),x102123,x102124)+~P1(f317(f317(f319(f903(f904(x102121,a893),f904(x102121,a893))),f317(f317(f242(f904(x102121,a893),f904(x102121,a893)),x102123),x102124)),f309(x102121,x102122)))
% 92.29/92.09 [10247]E(x102471,x102472)+~E(f317(f317(f7(x102473,f904(f903(x102473,x102474),a893),f904(x102474,a893)),f317(f317(f8(f904(x102474,f904(f904(f903(x102473,x102474),a893),a893)),f904(f904(f903(x102473,x102474),a893),f904(x102474,a893)),x102473),f7(x102474,f904(f903(x102473,x102474),a893),a893)),f317(f317(f8(f904(x102474,f903(x102473,x102474)),f904(x102474,f904(f904(f903(x102473,x102474),a893),a893)),x102473),f317(f8(f903(x102473,x102474),f904(f904(f903(x102473,x102474),a893),a893),x102474),f319(f903(x102473,x102474)))),f242(x102473,x102474)))),x102471),f317(f317(f7(x102473,f904(f903(x102473,x102474),a893),f904(x102474,a893)),f317(f317(f8(f904(x102474,f904(f904(f903(x102473,x102474),a893),a893)),f904(f904(f903(x102473,x102474),a893),f904(x102474,a893)),x102473),f7(x102474,f904(f903(x102473,x102474),a893),a893)),f317(f317(f8(f904(x102474,f903(x102473,x102474)),f904(x102474,f904(f904(f903(x102473,x102474),a893),a893)),x102473),f317(f8(f903(x102473,x102474),f904(f904(f903(x102473,x102474),a893),a893),x102474),f319(f903(x102473,x102474)))),f242(x102473,x102474)))),x102472))
% 92.29/92.09 [10250]~P31(x102501,f317(f317(f7(x102501,f904(f903(x102501,x102501),a893),f904(x102501,a893)),f317(f317(f8(f904(x102501,f904(f904(f903(x102501,x102501),a893),a893)),f904(f904(f903(x102501,x102501),a893),f904(x102501,a893)),x102501),f7(x102501,f904(f903(x102501,x102501),a893),a893)),f317(f317(f8(f904(x102501,f903(x102501,x102501)),f904(x102501,f904(f904(f903(x102501,x102501),a893),a893)),x102501),f317(f8(f903(x102501,x102501),f904(f904(f903(x102501,x102501),a893),a893),x102501),f319(f903(x102501,x102501)))),f242(x102501,x102501)))),x102504),x102502,x102503)+P1(f317(f317(f319(f903(f898(x102501),f898(x102501))),f317(f317(f242(f898(x102501),f898(x102501)),x102502),x102503)),f148(x102501,x102504)))
% 92.29/92.09 [10251]~P58(x102511,f317(f317(f7(x102511,f904(f903(x102511,x102511),a893),f904(x102511,a893)),f317(f317(f8(f904(x102511,f904(f904(f903(x102511,x102511),a893),a893)),f904(f904(f903(x102511,x102511),a893),f904(x102511,a893)),x102511),f7(x102511,f904(f903(x102511,x102511),a893),a893)),f317(f317(f8(f904(x102511,f903(x102511,x102511)),f904(x102511,f904(f904(f903(x102511,x102511),a893),a893)),x102511),f317(f8(f903(x102511,x102511),f904(f904(f903(x102511,x102511),a893),a893),x102511),f319(f903(x102511,x102511)))),f242(x102511,x102511)))),x102514),x102512,x102513)+P1(f317(f317(f319(f903(f904(x102511,a893),f904(x102511,a893))),f317(f317(f242(f904(x102511,a893),f904(x102511,a893)),x102512),x102513)),f309(x102511,x102514)))
% 92.29/92.09 [7606]~P94(x76061)+E(f317(f317(f74(x76061),f317(f94(x76061),x76062)),f317(f317(f23(x76061),f317(f94(x76061),x76063)),x76064)),f317(f317(f23(x76061),f317(f94(x76061),f317(f317(f74(a1),x76062),x76063))),x76064))
% 92.29/92.09 [7607]~P94(x76071)+E(f317(f317(f74(x76071),f317(f94(x76071),x76072)),f317(f317(f74(x76071),f317(f94(x76071),x76073)),x76074)),f317(f317(f74(x76071),f317(f94(x76071),f317(f317(f74(a1),x76072),x76073))),x76074))
% 92.29/92.09 [7608]~P94(x76081)+E(f317(f317(f75(x76081),f317(f94(x76081),x76082)),f317(f317(f75(x76081),f317(f94(x76081),x76083)),x76084)),f317(f317(f75(x76081),f317(f94(x76081),f317(f317(f75(a1),x76082),x76083))),x76084))
% 92.29/92.09 [7651]~P144(x76511)+E(f317(f155(x76511),f317(f317(f144(x76512,x76511),f317(f16(x76511,x76512),x76513)),x76514)),f317(f317(f75(x76511),f317(f90(x76511),f317(f179(f898(x76512)),x76514))),x76513))
% 92.29/92.09 [7891]E(f317(f258(x78911,f317(f317(f141(f903(a89,x78911)),x78912),x78913)),x78914),f317(f246(a89,x78911),x78912))+~P1(f317(f317(f225(a89),x78914),f317(f241(a89,x78911),x78912)))
% 92.29/92.09 [7932]~P94(x79321)+E(f317(f317(f74(x79321),f317(f94(x79321),x79322)),f317(f317(f23(x79321),x79323),f317(f94(x79321),x79324))),f317(f317(f74(x79321),f317(f94(x79321),f317(f317(f74(a1),x79322),f317(f73(a1),x79324)))),x79323))
% 92.29/92.09 [8066]E(f317(f258(x80661,x80662),f317(f317(f23(a89),x80663),f317(f241(a89,x80661),x80664))),f317(f258(x80661,f317(f317(f141(f903(a89,x80661)),x80664),x80662)),x80663))+P1(f317(f317(f225(a89),x80663),f317(f241(a89,x80661),x80664)))
% 92.29/92.09 [8503]~P1(f317(f317(f319(x85031),x85032),f317(f162(x85031),f104(x85031,x85034))))+P1(f317(f317(f319(x85031),x85032),f317(f162(x85031),f104(x85031,f317(f317(f124(x85031),x85033),x85034)))))
% 92.29/92.09 [8504]~P1(f317(f317(f319(x85041),x85042),f317(f162(x85041),f104(x85041,x85043))))+P1(f317(f317(f319(x85041),x85042),f317(f162(x85041),f104(x85041,f317(f317(f124(x85041),x85043),x85044)))))
% 92.29/92.09 [8523]E(f317(f317(f91(f904(x85231,a893)),f317(f317(f92(f904(x85231,a893)),x85232),x85233)),x85234),f317(f317(f92(f904(x85231,a893)),x85232),f317(f317(f91(f904(x85231,a893)),x85233),x85234)))+~P1(f317(f317(f224(f904(x85231,a893)),x85234),x85232))
% 92.29/92.09 [8832]~E(f317(f317(f91(f904(x88321,a893)),f317(f317(f92(f904(x88321,a893)),x88323),x88324)),x88322),f317(f317(f92(f904(x88321,a893)),x88323),f317(f317(f91(f904(x88321,a893)),x88324),x88322)))+P1(f317(f317(f224(f904(x88321,a893)),x88322),x88323))
% 92.29/92.09 [9120]~P1(f317(f317(f224(f904(x91201,a893)),x91202),f317(f317(f91(f904(x91201,a893)),x91203),x91204)))+P1(f317(f317(f224(f904(x91201,a893)),f317(f317(f23(f904(x91201,a893)),x91202),x91203)),x91204))
% 92.29/92.09 [9237]~E(f317(f300(x92371,x92372,x92373),f232(f904(x92371,a893))),f232(f904(x92372,a893)))+E(f317(f300(x92371,x92372,x92373),f317(f300(x92372,x92371,f85(x92371,x92372,f232(f904(x92371,a893)),x92373)),x92374)),x92374)
% 92.29/92.09 [9242]P1(f317(f317(f224(f904(x92421,a893)),x92422),f317(f317(f91(f904(x92421,a893)),x92423),x92424)))+~P1(f317(f317(f224(f904(x92421,a893)),f317(f317(f23(f904(x92421,a893)),x92422),x92423)),x92424))
% 92.29/92.09 [9327]~P85(x93271)+E(f317(f70(x93271),f317(f317(f6(x93272,x93271),f317(f317(f8(x93271,x93271,x93272),f70(x93271)),x93273)),x93274)),f317(f317(f6(x93272,x93271),f317(f317(f8(x93271,x93271,x93272),f70(x93271)),x93273)),x93274))
% 92.29/92.09 [9503]~P85(x95031)+P1(f317(f317(f224(x95031),f2(x95031)),f317(f317(f6(x95032,x95031),f317(f317(f8(x95031,x95031,x95032),f70(x95031)),x95033)),x95034)))
% 92.29/92.09 [9507]~P68(x95071)+E(f317(f155(x95071),f317(f317(f144(x95072,x95071),f317(f67(x95071,x95071,x95072,f73(x95071)),x95073)),x95074)),f317(f73(x95071),f317(f155(x95071),f317(f317(f144(x95072,x95071),x95073),x95074))))
% 92.29/92.09 [9657]~P85(x96571)+P1(f317(f317(f224(x96571),f317(f70(x96571),f317(f317(f6(x96572,x96571),x96573),x96574))),f317(f317(f6(x96572,x96571),f317(f317(f8(x96571,x96571,x96572),f70(x96571)),x96573)),x96574)))
% 92.29/92.09 [9686]~E(f317(f317(f74(a897),x96861),x96864),f317(f317(f74(a897),x96863),x96862))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x96861),x96862)),f317(f317(f242(a897,a897),x96863),x96864))),a99))
% 92.29/92.09 [9687]~P1(f317(f317(f225(a897),x96871),x96873))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x96871),x96872)),f317(f317(f242(a897,a897),x96873),x96874))),a26))
% 92.29/92.09 [9688]~P1(f317(f317(f225(a897),x96881),x96883))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x96881),x96882)),f317(f317(f242(a897,a897),x96883),x96884))),a65))
% 92.29/92.09 [9834]E(f317(f317(f74(a897),x98341),x98342),f317(f317(f74(a897),x98343),x98344))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x98341),x98344)),f317(f317(f242(a897,a897),x98343),x98342))),a99))
% 92.29/92.09 [9865]E(f317(f317(f154(x98651),f317(f317(f128(x98651),f317(f179(f898(x98651)),f167(x98651,x98652,x98653))),x98653)),x98654),f317(f317(f154(x98651),x98653),f317(f317(f74(a897),x98654),f317(f179(f898(x98651)),f167(x98651,x98652,x98653)))))+~P1(f317(f317(f225(a897),x98654),f317(f179(f898(x98651)),f317(f317(f128(x98651),f317(f179(f898(x98651)),f167(x98651,x98652,x98653))),x98653))))
% 92.29/92.09 [9881]~P1(f317(f317(f319(x98812),x98814),f317(f317(f35(x98811,f904(x98812,a893)),f232(f904(x98811,a893))),x98813)))+P1(f317(f317(f317(f35(x98811,f904(x98812,a893)),f232(f904(x98811,a893))),f317(f317(f8(f904(x98812,a893),f904(x98812,a893),x98811),f317(f7(x98812,f904(x98812,a893),a893),f319(x98812))),x98813)),x98814))
% 92.29/92.09 [9882]~P1(f317(f317(f319(x98822),x98824),f317(f317(f36(x98821,f904(x98822,a893)),f232(f904(x98821,a893))),x98823)))+P1(f317(f317(f317(f36(x98821,f904(x98822,a893)),f232(f904(x98821,a893))),f317(f317(f8(f904(x98822,a893),f904(x98822,a893),x98821),f317(f7(x98822,f904(x98822,a893),a893),f319(x98822))),x98823)),x98824))
% 92.29/92.09 [9951]~P1(f317(f45(x99511,x99512),f317(f317(f242(a1,a1),x99514),x99513)))+P1(f317(f45(f317(f73(a1),x99511),x99512),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99513),f2(a1))),f317(f73(a1),x99514)),f317(f317(f23(a1),f317(f73(a1),x99514)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99513),f2(a1))),f2(a1)),f317(f317(f23(a1),x99512),x99513)))))
% 92.29/92.09 [9963]P1(f317(f317(f319(x99631),x99632),f317(f317(f35(x99633,f904(x99631,a893)),f232(f904(x99633,a893))),x99634)))+~P1(f317(f317(f317(f35(x99633,f904(x99631,a893)),f232(f904(x99633,a893))),f317(f317(f8(f904(x99631,a893),f904(x99631,a893),x99633),f317(f7(x99631,f904(x99631,a893),a893),f319(x99631))),x99634)),x99632))
% 92.29/92.09 [9964]P1(f317(f317(f319(x99641),x99642),f317(f317(f36(x99643,f904(x99641,a893)),f232(f904(x99643,a893))),x99644)))+~P1(f317(f317(f317(f36(x99643,f904(x99641,a893)),f232(f904(x99643,a893))),f317(f317(f8(f904(x99641,a893),f904(x99641,a893),x99643),f317(f7(x99641,f904(x99641,a893),a893),f319(x99641))),x99644)),x99642))
% 92.29/92.09 [9976]E(f317(f317(f35(a897,f904(x99761,a893)),f232(f904(a897,a893))),x99762),f317(f317(f35(a897,f904(x99761,a893)),f232(f904(a897,a893))),x99763))+~E(f317(f317(f35(a897,f904(x99761,a893)),f317(f292(a897,f2(a897)),f465(x99762,x99764,x99763,x99761))),x99763),f317(f317(f35(a897,f904(x99761,a893)),f317(f292(a897,f2(a897)),f317(f317(f74(a897),f465(x99762,x99764,x99763,x99761)),x99764))),x99762))
% 92.29/92.09 [10328]~P1(f317(f317(f224(f904(f903(x103281,x103282),a893)),x103283),x103284))+P1(f317(f317(f224(f904(x103281,f904(x103282,a893))),f317(f317(f7(x103281,f904(f903(x103281,x103282),a893),f904(x103282,a893)),f317(f317(f8(f904(x103282,f904(f904(f903(x103281,x103282),a893),a893)),f904(f904(f903(x103281,x103282),a893),f904(x103282,a893)),x103281),f7(x103282,f904(f903(x103281,x103282),a893),a893)),f317(f317(f8(f904(x103282,f903(x103281,x103282)),f904(x103282,f904(f904(f903(x103281,x103282),a893),a893)),x103281),f317(f8(f903(x103281,x103282),f904(f904(f903(x103281,x103282),a893),a893),x103282),f319(f903(x103281,x103282)))),f242(x103281,x103282)))),x103283)),f317(f317(f7(x103281,f904(f903(x103281,x103282),a893),f904(x103282,a893)),f317(f317(f8(f904(x103282,f904(f904(f903(x103281,x103282),a893),a893)),f904(f904(f903(x103281,x103282),a893),f904(x103282,a893)),x103281),f7(x103282,f904(f903(x103281,x103282),a893),a893)),f317(f317(f8(f904(x103282,f903(x103281,x103282)),f904(x103282,f904(f904(f903(x103281,x103282),a893),a893)),x103281),f317(f8(f903(x103281,x103282),f904(f904(f903(x103281,x103282),a893),a893),x103282),f319(f903(x103281,x103282)))),f242(x103281,x103282)))),x103284)))
% 92.29/92.09 [10344]P1(f317(f317(f224(f904(f903(x103441,x103442),a893)),x103443),x103444))+~P1(f317(f317(f224(f904(x103441,f904(x103442,a893))),f317(f317(f7(x103441,f904(f903(x103441,x103442),a893),f904(x103442,a893)),f317(f317(f8(f904(x103442,f904(f904(f903(x103441,x103442),a893),a893)),f904(f904(f903(x103441,x103442),a893),f904(x103442,a893)),x103441),f7(x103442,f904(f903(x103441,x103442),a893),a893)),f317(f317(f8(f904(x103442,f903(x103441,x103442)),f904(x103442,f904(f904(f903(x103441,x103442),a893),a893)),x103441),f317(f8(f903(x103441,x103442),f904(f904(f903(x103441,x103442),a893),a893),x103442),f319(f903(x103441,x103442)))),f242(x103441,x103442)))),x103443)),f317(f317(f7(x103441,f904(f903(x103441,x103442),a893),f904(x103442,a893)),f317(f317(f8(f904(x103442,f904(f904(f903(x103441,x103442),a893),a893)),f904(f904(f903(x103441,x103442),a893),f904(x103442,a893)),x103441),f7(x103442,f904(f903(x103441,x103442),a893),a893)),f317(f317(f8(f904(x103442,f903(x103441,x103442)),f904(x103442,f904(f904(f903(x103441,x103442),a893),a893)),x103441),f317(f8(f903(x103441,x103442),f904(f904(f903(x103441,x103442),a893),a893),x103442),f319(f903(x103441,x103442)))),f242(x103441,x103442)))),x103444)))
% 92.29/92.09 [9376]~P1(f317(f317(f319(f903(x93761,x93761)),x93762),f297(x93761,x93764)))+P1(f317(f317(f319(f903(x93761,x93761)),x93762),f297(x93761,f317(f317(f91(f904(f903(x93761,x93761),a893)),x93763),x93764))))
% 92.29/92.09 [9377]~P1(f317(f317(f319(f903(x93771,x93771)),x93772),f297(x93771,x93773)))+P1(f317(f317(f319(f903(x93771,x93771)),x93772),f297(x93771,f317(f317(f91(f904(f903(x93771,x93771),a893)),x93773),x93774))))
% 92.29/92.09 [10062]~P1(f317(f317(f224(a897),f317(f317(f74(a897),x100621),x100624)),f317(f317(f74(a897),x100623),x100622)))+P1(f317(f317(f224(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x100621),x100622)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x100623),x100624)),f178(f904(f903(a897,a897),a893)))))))
% 92.29/92.09 [10063]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x100631),x100634)),f317(f317(f74(a897),x100633),x100632)))+P1(f317(f317(f225(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x100631),x100632)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x100633),x100634)),f178(f904(f903(a897,a897),a893)))))))
% 92.29/92.09 [10150]P1(f317(f317(f224(a897),f317(f317(f74(a897),x101501),x101502)),f317(f317(f74(a897),x101503),x101504)))+~P1(f317(f317(f224(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x101501),x101504)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x101503),x101502)),f178(f904(f903(a897,a897),a893)))))))
% 92.29/92.09 [10151]P1(f317(f317(f225(a897),f317(f317(f74(a897),x101511),x101512)),f317(f317(f74(a897),x101513),x101514)))+~P1(f317(f317(f225(a1),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x101511),x101514)),f178(f904(f903(a897,a897),a893)))))),f317(a83,f317(f275(f903(a897,a897),f903(a897,a897),a99),f317(f317(f299(f903(a897,a897)),f317(f317(f242(a897,a897),x101513),x101512)),f178(f904(f903(a897,a897),a893)))))))
% 92.29/92.09 [10194]P1(f317(f317(f224(f904(x101941,a893)),f317(f317(f35(a897,f904(x101941,a893)),f232(f904(a897,a893))),x101942)),f317(f317(f35(a897,f904(x101941,a893)),f232(f904(a897,a893))),x101943)))+~P1(f317(f317(f224(f904(x101941,a893)),f317(f317(f35(a897,f904(x101941,a893)),f317(f292(a897,f2(a897)),f466(x101943,x101944,x101942,x101941))),x101942)),f317(f317(f35(a897,f904(x101941,a893)),f317(f292(a897,f2(a897)),f317(f317(f74(a897),f466(x101943,x101944,x101942,x101941)),x101944))),x101943)))
% 92.29/92.09 [10254]P1(f317(f317(f224(a89),x102544),f2(a89)))+E(f317(f317(f249(f903(a89,a89),f903(x102541,f904(a896,a313)),f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89))),f317(x102542,x102543)),f317(f317(f8(f904(f904(a89,f904(a893,f900(f899(x102541)))),f904(f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89)))),f904(f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89))),f903(x102541,f904(a896,a313))),f317(f249(f903(a89,a89),f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89))),f267(x102541,x102542,f317(f317(f23(a89),x102544),f72(a89)),x102543))),f317(f317(f8(f904(f904(a89,f904(a893,f900(f899(x102541)))),f904(a89,f904(a893,f900(f899(x102541))))),f904(f904(a89,f904(a893,f900(f899(x102541)))),f904(f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89)))),f903(x102541,f904(a896,a313))),f317(f8(f904(a89,f904(a893,f900(f899(x102541)))),f904(f903(a89,a89),f903(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89))),f904(a89,f904(a893,f900(f899(x102541))))),f242(f904(a89,f904(a893,f900(f899(x102541)))),f903(a89,a89)))),f317(f317(f8(f904(a89,f904(a893,f900(f899(x102541)))),f904(f904(a89,f904(a893,f900(f899(x102541)))),f904(a89,f904(a893,f900(f899(x102541))))),f903(x102541,f904(a896,a313))),f40(x102541)),f317(f317(f8(x102541,f904(a89,f904(a893,f900(f899(x102541)))),f903(x102541,f904(a896,a313))),f38(x102541)),f241(x102541,f904(a896,a313))))))),f267(x102541,x102542,x102544,x102543))
% 92.29/92.09 [10318]~P1(f317(f317(f319(x103182),x103184),f317(f274(x103181,x103182),x103183)))+P1(f317(f240(x103181,x103182,f317(f317(f7(x103181,f904(f903(x103181,x103182),a893),f904(x103182,a893)),f317(f317(f8(f904(x103182,f904(f904(f903(x103181,x103182),a893),a893)),f904(f904(f903(x103181,x103182),a893),f904(x103182,a893)),x103181),f7(x103182,f904(f903(x103181,x103182),a893),a893)),f317(f317(f8(f904(x103182,f903(x103181,x103182)),f904(x103182,f904(f904(f903(x103181,x103182),a893),a893)),x103181),f317(f8(f903(x103181,x103182),f904(f904(f903(x103181,x103182),a893),a893),x103182),f319(f903(x103181,x103182)))),f242(x103181,x103182)))),x103183)),x103184))
% 92.29/92.09 [10319]~P1(f317(f317(f319(x103191),x103194),f317(f254(x103191,x103192),x103193)))+P1(f317(f239(x103191,x103192,f317(f317(f7(x103191,f904(f903(x103191,x103192),a893),f904(x103192,a893)),f317(f317(f8(f904(x103192,f904(f904(f903(x103191,x103192),a893),a893)),f904(f904(f903(x103191,x103192),a893),f904(x103192,a893)),x103191),f7(x103192,f904(f903(x103191,x103192),a893),a893)),f317(f317(f8(f904(x103192,f903(x103191,x103192)),f904(x103192,f904(f904(f903(x103191,x103192),a893),a893)),x103191),f317(f8(f903(x103191,x103192),f904(f904(f903(x103191,x103192),a893),a893),x103192),f319(f903(x103191,x103192)))),f242(x103191,x103192)))),x103193)),x103194))
% 92.29/92.09 [10331]P1(f317(f317(f319(x103311),x103312),f317(f274(x103313,x103311),x103314)))+~P1(f317(f240(x103313,x103311,f317(f317(f7(x103313,f904(f903(x103313,x103311),a893),f904(x103311,a893)),f317(f317(f8(f904(x103311,f904(f904(f903(x103313,x103311),a893),a893)),f904(f904(f903(x103313,x103311),a893),f904(x103311,a893)),x103313),f7(x103311,f904(f903(x103313,x103311),a893),a893)),f317(f317(f8(f904(x103311,f903(x103313,x103311)),f904(x103311,f904(f904(f903(x103313,x103311),a893),a893)),x103313),f317(f8(f903(x103313,x103311),f904(f904(f903(x103313,x103311),a893),a893),x103311),f319(f903(x103313,x103311)))),f242(x103313,x103311)))),x103314)),x103312))
% 92.29/92.09 [10332]P1(f317(f317(f319(x103321),x103322),f317(f254(x103321,x103323),x103324)))+~P1(f317(f239(x103321,x103323,f317(f317(f7(x103321,f904(f903(x103321,x103323),a893),f904(x103323,a893)),f317(f317(f8(f904(x103323,f904(f904(f903(x103321,x103323),a893),a893)),f904(f904(f903(x103321,x103323),a893),f904(x103323,a893)),x103321),f7(x103323,f904(f903(x103321,x103323),a893),a893)),f317(f317(f8(f904(x103323,f903(x103321,x103323)),f904(x103323,f904(f904(f903(x103321,x103323),a893),a893)),x103321),f317(f8(f903(x103321,x103323),f904(f904(f903(x103321,x103323),a893),a893),x103323),f319(f903(x103321,x103323)))),f242(x103321,x103323)))),x103324)),x103322))
% 92.29/92.09 [9987]P1(f317(f150(x99871,x99872),x99873))+~P1(f317(f150(x99871,f317(f317(f18(x99871,a893,a893),f317(f317(f8(a893,f904(a893,a893),x99871),a315),x99874)),x99872)),x99873))
% 92.29/92.09 [9988]P1(f317(f150(x99881,x99882),x99883))+~P1(f317(f150(x99881,f317(f317(f18(x99881,a893,a893),f317(f317(f8(a893,f904(a893,a893),x99881),a315),x99882)),x99884)),x99883))
% 92.29/92.09 [10074]~P119(x100741)+E(f317(f317(f75(x100741),f317(f317(f74(x100741),f72(x100741)),f72(x100741))),f317(f317(f6(a897,x100741),f317(f317(f8(x100741,x100741,a897),f317(f74(x100741),x100742)),f317(f317(f7(a897,x100741,x100741),f317(f317(f8(x100741,f904(x100741,x100741),a897),f75(x100741)),f90(x100741))),x100743))),f317(f272(a897),x100744))),f317(f317(f75(x100741),f317(f90(x100741),x100744)),f317(f317(f74(x100741),x100742),f317(f317(f74(x100741),x100742),f317(f317(f75(x100741),f317(f90(x100741),f317(f317(f23(a897),x100744),f72(a897)))),x100743)))))
% 92.29/92.09 [10215]P1(f317(x102151,f539(x102152,x102153,x102154,x102151)))+P36(x102152,f317(f252(f903(x102152,x102152)),f317(f247(x102152,x102152,a893),f317(f317(f8(f904(x102152,a893),f904(x102152,a893),x102152),f317(f18(x102152,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102152),a315),x102151))),f317(f317(f7(x102152,f904(x102152,x102152),f904(x102152,a893)),f317(f317(f8(f904(x102152,a893),f904(f904(x102152,x102152),f904(x102152,a893)),x102152),f8(x102152,a893,x102152)),a314)),x102153)))))
% 92.29/92.09 [10229]~P1(f317(f317(f225(a897),f317(x102294,f317(x102293,f539(x102291,x102293,x102294,x102292)))),f317(x102294,f539(x102291,x102293,x102294,x102292))))+P36(x102291,f317(f252(f903(x102291,x102291)),f317(f247(x102291,x102291,a893),f317(f317(f8(f904(x102291,a893),f904(x102291,a893),x102291),f317(f18(x102291,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102291),a315),x102292))),f317(f317(f7(x102291,f904(x102291,x102291),f904(x102291,a893)),f317(f317(f8(f904(x102291,a893),f904(f904(x102291,x102291),f904(x102291,a893)),x102291),f8(x102291,a893,x102291)),a314)),x102293)))))
% 92.29/92.09 [10305]~P5(x103051)+E(f33(x103051,f317(f252(x103051),f317(f317(f8(f904(f904(x103052,x103051),a893),a893,x103051),f81(f904(x103052,x103051))),f317(f317(f8(f904(f904(x103052,x103051),a893),f904(f904(x103052,x103051),a893),x103051),f317(f18(f904(x103052,x103051),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x103052,x103051)),a315),f317(f317(f7(f904(x103052,x103051),f904(f904(x103052,x103051),a893),a893),f319(f904(x103052,x103051))),x103053)))),f317(f317(f7(x103051,f904(f904(x103052,x103051),x103051),f904(f904(x103052,x103051),a893)),f317(f317(f8(f904(x103051,a893),f904(f904(f904(x103052,x103051),x103051),f904(f904(x103052,x103051),a893)),x103051),f8(x103051,a893,f904(x103052,x103051))),a314)),f317(f317(f7(f904(x103052,x103051),x103052,x103051),f5(f904(x103052,x103051))),x103054)))))),f317(f33(f904(x103052,x103051),x103053),x103054))
% 92.29/92.09 [10306]~P5(x103061)+E(f33(x103061,f317(f252(x103061),f317(f317(f8(f904(f904(x103062,x103061),a893),a893,x103061),f81(f904(x103062,x103061))),f317(f317(f8(f904(f904(x103062,x103061),a893),f904(f904(x103062,x103061),a893),x103061),f317(f18(f904(x103062,x103061),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x103062,x103061)),a315),f317(f317(f7(f904(x103062,x103061),f904(f904(x103062,x103061),a893),a893),f319(f904(x103062,x103061))),x103063)))),f317(f317(f7(x103061,f904(f904(x103062,x103061),x103061),f904(f904(x103062,x103061),a893)),f317(f317(f8(f904(x103061,a893),f904(f904(f904(x103062,x103061),x103061),f904(f904(x103062,x103061),a893)),x103061),f8(x103061,a893,f904(x103062,x103061))),a314)),f317(f317(f7(f904(x103062,x103061),x103062,x103061),f5(f904(x103062,x103061))),x103064)))))),f317(f33(f904(x103062,x103061),x103063),x103064))
% 92.29/92.09 [10307]~P5(x103071)+E(f32(x103071,f317(f252(x103071),f317(f317(f8(f904(f904(x103072,x103071),a893),a893,x103071),f81(f904(x103072,x103071))),f317(f317(f8(f904(f904(x103072,x103071),a893),f904(f904(x103072,x103071),a893),x103071),f317(f18(f904(x103072,x103071),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x103072,x103071)),a315),f317(f317(f7(f904(x103072,x103071),f904(f904(x103072,x103071),a893),a893),f319(f904(x103072,x103071))),x103073)))),f317(f317(f7(x103071,f904(f904(x103072,x103071),x103071),f904(f904(x103072,x103071),a893)),f317(f317(f8(f904(x103071,a893),f904(f904(f904(x103072,x103071),x103071),f904(f904(x103072,x103071),a893)),x103071),f8(x103071,a893,f904(x103072,x103071))),a314)),f317(f317(f7(f904(x103072,x103071),x103072,x103071),f5(f904(x103072,x103071))),x103074)))))),f317(f32(f904(x103072,x103071),x103073),x103074))
% 92.29/92.09 [10308]~P5(x103081)+E(f32(x103081,f317(f252(x103081),f317(f317(f8(f904(f904(x103082,x103081),a893),a893,x103081),f81(f904(x103082,x103081))),f317(f317(f8(f904(f904(x103082,x103081),a893),f904(f904(x103082,x103081),a893),x103081),f317(f18(f904(x103082,x103081),a893,a893),f317(f317(f8(a893,f904(a893,a893),f904(x103082,x103081)),a315),f317(f317(f7(f904(x103082,x103081),f904(f904(x103082,x103081),a893),a893),f319(f904(x103082,x103081))),x103083)))),f317(f317(f7(x103081,f904(f904(x103082,x103081),x103081),f904(f904(x103082,x103081),a893)),f317(f317(f8(f904(x103081,a893),f904(f904(f904(x103082,x103081),x103081),f904(f904(x103082,x103081),a893)),x103081),f8(x103081,a893,f904(x103082,x103081))),a314)),f317(f317(f7(f904(x103082,x103081),x103082,x103081),f5(f904(x103082,x103081))),x103084)))))),f317(f32(f904(x103082,x103081),x103083),x103084))
% 92.29/92.09 [10357]~P1(f317(f317(f319(f903(x103571,x103571)),f317(f317(f242(x103571,x103571),x103573),x103574)),f317(f317(f91(f904(f903(x103571,x103571),a893)),x103572),f297(x103571,f178(f904(f903(x103571,x103571),a893))))))+P1(f317(f317(f317(f317(f91(f904(x103571,f904(x103571,a893))),f317(f317(f7(x103571,f904(f903(x103571,x103571),a893),f904(x103571,a893)),f317(f317(f8(f904(x103571,f904(f904(f903(x103571,x103571),a893),a893)),f904(f904(f903(x103571,x103571),a893),f904(x103571,a893)),x103571),f7(x103571,f904(f903(x103571,x103571),a893),a893)),f317(f317(f8(f904(x103571,f903(x103571,x103571)),f904(x103571,f904(f904(f903(x103571,x103571),a893),a893)),x103571),f317(f8(f903(x103571,x103571),f904(f904(f903(x103571,x103571),a893),a893),x103571),f319(f903(x103571,x103571)))),f242(x103571,x103571)))),x103572)),a314),x103573),x103574))
% 92.29/92.09 [10367]P1(f317(f317(f319(f903(x103671,x103671)),f317(f317(f242(x103671,x103671),x103672),x103673)),f317(f317(f91(f904(f903(x103671,x103671),a893)),x103674),f297(x103671,f178(f904(f903(x103671,x103671),a893))))))+~P1(f317(f317(f317(f317(f91(f904(x103671,f904(x103671,a893))),f317(f317(f7(x103671,f904(f903(x103671,x103671),a893),f904(x103671,a893)),f317(f317(f8(f904(x103671,f904(f904(f903(x103671,x103671),a893),a893)),f904(f904(f903(x103671,x103671),a893),f904(x103671,a893)),x103671),f7(x103671,f904(f903(x103671,x103671),a893),a893)),f317(f317(f8(f904(x103671,f903(x103671,x103671)),f904(x103671,f904(f904(f903(x103671,x103671),a893),a893)),x103671),f317(f8(f903(x103671,x103671),f904(f904(f903(x103671,x103671),a893),a893),x103671),f319(f903(x103671,x103671)))),f242(x103671,x103671)))),x103674)),a314),x103672),x103673))
% 92.29/92.09 [10315]E(f317(f317(f141(f898(x103151)),f317(f317(f141(x103151),x103152),f317(f132(f898(x103151),f898(x103151),f124(x103151),f103(x103151)),f317(f317(f144(f898(x103151),f898(x103151)),f146(f898(x103151),x103151,f103(x103151),f317(f317(f8(f898(x103151),f904(f898(x103151),f898(x103151)),x103151),f16(f898(x103151),f898(x103151))),f317(f317(f7(x103151,f898(x103151),f898(x103151)),f141(x103151)),f103(x103151))))),x103153)))),f169(x103151,f317(f317(f141(f898(x103151)),x103154),f317(f132(f898(f898(x103151)),f898(f898(x103151)),f124(f898(x103151)),f103(f898(x103151))),f317(f317(f144(f898(x103151),f898(f898(x103151))),f146(f898(f898(x103151)),x103151,f103(f898(x103151)),f317(f16(f904(f898(x103151),f898(f898(x103151))),x103151),f317(f317(f7(f898(x103151),f898(f898(x103151)),f898(f898(x103151))),f141(f898(x103151))),f103(f898(x103151)))))),x103153))))),f169(x103151,f317(f317(f141(f898(x103151)),f317(f317(f141(x103151),x103152),x103154)),x103153)))+~P1(f317(f305(f898(f898(x103151)),f170(x103151)),f317(f317(f141(f898(x103151)),f317(f317(f141(x103151),x103152),x103154)),x103153)))
% 92.29/92.09 [10356]~P1(f317(f29(x103562),f317(f252(x103562),x103564)))+P1(f317(f29(x103561),f317(f252(x103561),f317(f317(f8(f904(x103562,a893),a893,x103561),f81(x103562)),f317(f317(f7(x103561,f904(x103562,a893),f904(x103562,a893)),f317(f317(f8(f904(x103562,f904(a893,a893)),f904(f904(x103562,a893),f904(x103562,a893)),x103561),f18(x103562,a893,a893)),f317(f317(f8(f904(x103562,a893),f904(x103562,f904(a893,a893)),x103561),f317(f8(a893,f904(a893,a893),x103562),a315)),f317(f317(f7(x103561,f904(x103562,x103561),f904(x103562,a893)),f317(f317(f8(f904(x103561,a893),f904(f904(x103562,x103561),f904(x103562,a893)),x103561),f8(x103561,a893,x103562)),a314)),x103563)))),x103564)))))
% 92.29/92.09 [8869]P24(x88691,x88692,x88693,x88694)+~P25(x88691,x88692,x88693,x88694,x88695)
% 92.29/92.09 [8870]P24(x88701,x88702,x88703,x88704)+~P25(x88701,x88702,x88703,x88704,x88705)
% 92.29/92.09 [5328]E(x53281,x53282)+~E(f159(x53283,x53281,x53284),f159(x53283,x53282,x53285))
% 92.29/92.09 [5329]E(x53291,x53292)+~E(f116(x53293,x53294,x53291),f116(x53293,x53295,x53292))
% 92.29/92.09 [5330]E(x53301,x53302)+~E(f116(x53303,x53301,x53304),f116(x53303,x53302,x53305))
% 92.29/92.09 [8196]~E(f317(x81963,x81964),x81965)+E(f69(x81961,x81962,x81963,x81964,x81965),x81963)
% 92.29/92.09 [8197]~E(f317(x81973,x81974),x81975)+E(f69(x81971,x81972,x81973,x81974,x81975),x81973)
% 92.29/92.09 [8728]~E(f69(x87284,x87285,x87281,x87282,x87283),x87281)+E(f317(x87281,x87282),x87283)
% 92.29/92.09 [9346]~P25(x93462,x93461,x93464,x93463,x93465)+P25(x93461,x93462,f71(x93462,x93461,x93463,x93464),x93465,x93463)
% 92.29/92.09 [9347]~P25(x93472,x93471,x93474,x93473,x93475)+P25(x93471,x93472,f85(x93472,x93471,x93473,x93474),x93475,x93473)
% 92.29/92.09 [6148]P1(f317(f240(x61481,x61482,x61483),x61484))+~P1(f317(f317(x61483,x61485),x61484))
% 92.29/92.09 [6149]P1(f317(f240(x61491,x61492,x61493),x61494))+~P1(f317(f317(x61493,x61495),x61494))
% 92.29/92.09 [6150]P1(f317(f239(x61501,x61502,x61503),x61504))+~P1(f317(f317(x61503,x61504),x61505))
% 92.29/92.09 [6151]P1(f317(f239(x61511,x61512,x61513),x61514))+~P1(f317(f317(x61513,x61514),x61515))
% 92.29/92.09 [6640]~E(x66405,f2(a89))+E(f317(f186(x66401,x66402,x66403,x66404),x66405),f114(x66402))
% 92.29/92.09 [6641]~E(x66415,f2(a89))+E(f317(f188(x66411,x66412,x66413,x66414),x66415),f105(x66412))
% 92.29/92.09 [6781]~E(x67813,f2(a89))+E(f317(f263(x67811,x67812,x67813,x67814),x67815),f317(f242(x67811,x67812),x67815))
% 92.29/92.09 [7846]~P20(x78464,x78461,x78462,x78465)+E(f317(f67(x78461,x78461,x78461,f317(x78462,x78463)),f317(x78462,x78463)),f317(x78462,x78463))
% 92.29/92.09 [8238]~P16(x82385,x82381,x82382)+E(f317(f67(x82381,x82381,x82381,f317(x82382,x82383)),f317(x82382,x82384)),f317(f67(x82381,x82381,x82381,f317(x82382,x82384)),f317(x82382,x82383)))
% 92.29/92.09 [8563]P1(f317(f317(f319(f903(x85631,x85631)),f317(f317(f242(x85631,x85631),x85632),x85633)),f311(x85631,x85634,x85635)))+~P1(f317(f317(f225(a897),f317(x85634,x85632)),f317(x85634,x85633)))
% 92.29/92.09 [8656]~P1(f317(f317(f319(x86564),x86563),f280(x86564,x86561,x86562,x86565)))+P1(f317(f317(x86561,x86562),x86563))
% 92.29/92.09 [8657]~P1(f317(f317(f319(x86574),x86573),f289(x86574,x86571,x86572,x86575)))+P1(f317(f317(x86571,x86572),x86573))
% 92.29/92.09 [8658]~P1(f317(f317(f319(x86584),x86582),f280(x86584,x86581,x86585,x86583)))+P1(f317(f317(x86581,x86582),x86583))
% 92.29/92.09 [8659]~P1(f317(f317(f319(x86594),x86592),f289(x86594,x86591,x86595,x86593)))+P1(f317(f317(x86591,x86592),x86593))
% 92.29/92.09 [8740]~P25(x87401,x87403,x87405,x87402,x87404)+E(f317(f30(x87401),x87402),f317(f30(x87403),x87404))
% 92.29/92.09 [8788]~P25(x87881,x87882,x87883,x87884,x87885)+E(f317(f300(x87881,x87882,x87883),x87884),x87885)
% 92.29/92.09 [8808]~P56(x88082,x88081,x88085,x88083,x88084)+E(f317(f300(x88081,x88082,x88083),x88084),f232(f904(x88082,a893)))
% 92.29/92.09 [9254]~P33(x92541,x92542,x92543,x92544,x92545)+P33(x92541,x92542,x92543,f317(f158(x92541),x92544),f317(f158(x92542),x92545))
% 92.29/92.09 [9256]~P33(x92561,x92562,x92563,f317(f158(x92561),x92564),x92565)+P33(x92561,x92562,x92563,x92564,f317(f158(x92562),x92565))
% 92.29/92.09 [9257]~P33(x92571,x92572,x92573,x92574,f317(f158(x92572),x92575))+P33(x92571,x92572,x92573,f317(f158(x92571),x92574),x92575)
% 92.29/92.09 [9263]P33(x92631,x92632,x92633,x92634,x92635)+~P33(x92631,x92632,x92633,f317(f158(x92631),x92634),f317(f158(x92632),x92635))
% 92.29/92.09 [9676]P1(f317(f317(f319(f903(f898(x96761),f898(x96761))),f317(f317(f242(f898(x96761),f898(x96761)),f317(f317(f141(x96761),x96762),x96763)),f317(f317(f141(x96761),x96762),x96764))),f147(x96761,x96765)))+~P1(f317(f317(f319(f903(f898(x96761),f898(x96761))),f317(f317(f242(f898(x96761),f898(x96761)),x96763),x96764)),f147(x96761,x96765)))
% 92.29/92.09 [9677]P1(f317(f317(f319(f903(f898(x96771),f898(x96771))),f317(f317(f242(f898(x96771),f898(x96771)),f317(f317(f124(x96771),x96772),x96773)),f317(f317(f124(x96771),x96772),x96774))),f137(x96771,x96775)))+~P1(f317(f317(f319(f903(f898(x96771),f898(x96771))),f317(f317(f242(f898(x96771),f898(x96771)),x96773),x96774)),f137(x96771,x96775)))
% 92.29/92.09 [9872]E(f317(f317(f141(x98721),f628(x98722,x98723,x98724,x98725,x98721)),f631(x98722,x98723,x98724,x98725,x98721)),x98725)+~P1(f317(f317(f319(f903(f898(x98721),f898(x98721))),f317(f317(f242(f898(x98721),f898(x98721)),x98725),f317(f317(f141(x98721),x98724),x98723))),f148(x98721,x98722)))
% 92.29/92.09 [9893]E(f317(f317(f141(x98931),f629(x98932,x98933,x98934,x98935,x98931)),f630(x98932,x98933,x98934,x98935,x98931)),x98933)+~P1(f317(f317(f319(f903(f898(x98931),f898(x98931))),f317(f317(f242(f898(x98931),f898(x98931)),f317(f317(f141(x98931),x98935),x98934)),x98933)),f148(x98931,x98932)))
% 92.29/92.09 [10037]~P1(f317(f317(f319(f903(f898(x100371),f898(x100371))),f317(f317(f242(f898(x100371),f898(x100371)),f317(f317(f141(x100371),x100375),x100372)),x100374)),f148(x100371,x100373)))+P1(f317(f317(f319(f903(f898(x100371),f898(x100371))),f317(f317(f242(f898(x100371),f898(x100371)),x100372),f630(x100373,x100374,x100372,x100375,x100371))),f148(x100371,x100373)))
% 92.29/92.09 [10117]~P1(f317(f317(f319(f903(f898(x101171),f898(x101171))),f317(f317(f242(f898(x101171),f898(x101171)),x101175),f317(f317(f141(x101171),x101174),x101173))),f148(x101171,x101172)))+P1(f317(f317(f319(f903(f898(x101171),f898(x101171))),f317(f317(f242(f898(x101171),f898(x101171)),f631(x101172,x101173,x101174,x101175,x101171)),x101173)),f148(x101171,x101172)))
% 92.29/92.09 [10309]P1(f317(f317(f319(f903(x103091,x103091)),f317(f317(f242(x103091,x103091),f317(x103092,f317(f317(f74(a897),x103093),x103094))),f317(x103092,x103093))),f297(x103091,x103095)))+~P1(f317(f317(f319(f903(x103091,x103091)),f317(f317(f242(x103091,x103091),f317(x103092,f317(a102,f585(x103094,x103093,x103095,x103092,x103091)))),f317(x103092,f585(x103094,x103093,x103095,x103092,x103091)))),f297(x103091,x103095)))
% 92.29/92.09 [5302]E(x53021,x53022)+~E(f317(f317(f141(x53023),x53024),x53021),f317(f317(f141(x53023),x53025),x53022))
% 92.29/92.09 [5303]E(x53031,x53032)+~E(f317(f317(f141(x53033),x53031),x53034),f317(f317(f141(x53033),x53032),x53035))
% 92.29/92.09 [5345]P1(f317(x53451,x53452))+~E(f317(f126(x53453,x53451),x53454),f317(f317(f141(x53453),x53452),x53455))
% 92.29/92.09 [5346]P1(f317(x53461,x53462))+~E(f317(f317(f141(x53463),x53462),x53464),f317(f126(x53463,x53461),x53465))
% 92.29/92.09 [5507]~E(f317(f317(f128(x55071),x55073),x55072),f317(f317(f141(x55071),x55074),x55075))+E(f317(f317(f154(x55071),x55072),x55073),x55074)
% 92.29/92.10 [5647]~P14(x56474,x56475,x56471)+E(f317(f317(x56471,x56472),f317(f317(x56471,x56472),x56473)),f317(f317(x56471,x56472),x56473))
% 92.29/92.10 [6208]~E(x62084,f2(a89))+E(f317(f317(f107(x62081,x62082,x62083),x62084),x62085),f317(f317(f242(f898(x62082),x62081),f103(x62082)),x62085))
% 92.29/92.10 [6283]~P107(x62832)+~E(f317(f317(f138(x62831,x62832,x62833),x62834),x62835),f103(x62831))
% 92.29/92.10 [6681]E(x66811,x66812)+~E(f317(f317(f124(x66813),x66814),f317(f317(f141(x66813),x66811),f103(x66813))),f317(f317(f124(x66813),x66815),f317(f317(f141(x66813),x66812),f103(x66813))))
% 92.29/92.10 [6682]E(x66821,x66822)+~E(f317(f317(f124(x66823),x66821),f317(f317(f141(x66823),x66824),f103(x66823))),f317(f317(f124(x66823),x66822),f317(f317(f141(x66823),x66825),f103(x66823))))
% 92.29/92.10 [7005]E(f317(f317(f299(x70051),f317(x70052,x70053)),f317(f300(x70054,x70051,x70052),x70055)),f317(f300(x70054,x70051,x70052),x70055))+~P1(f317(f317(f319(x70054),x70053),x70055))
% 92.29/92.10 [7013]~P1(f317(x70134,f317(x70133,x70135)))+P1(f317(f317(f301(x70131,x70132,x70133),x70134),x70135))
% 92.29/92.10 [7014]~P1(f317(f317(x70143,x70145),x70144))+P1(f317(f317(f233(x70141,x70142,x70143),x70144),x70145))
% 92.29/92.10 [7015]~P1(f317(f317(x70153,x70155),x70154))+P1(f317(f317(f233(x70151,x70152,x70153),x70154),x70155))
% 92.29/92.10 [7016]~P1(f317(f317(x70163,x70165),x70164))+P1(f317(f317(f233(x70161,x70162,x70163),x70164),x70165))
% 92.29/92.10 [7113]~E(f317(f300(x71131,x71132,x71133),x71134),x71135)+E(f317(f300(f904(x71131,a893),f904(x71132,a893),f300(x71131,x71132,x71133)),f317(f298(x71131),x71134)),f317(f298(x71132),x71135))
% 92.29/92.10 [7141]E(f317(f261(x71411,x71412,x71413,x71414),x71415),f317(x71414,x71415))+~P1(f317(f317(f319(x71411),x71415),x71413))
% 92.29/92.10 [7455]P24(x74551,x74552,x74553,x74554)+~P24(x74551,x74552,x74553,f317(f317(f299(x74551),x74555),x74554))
% 92.29/92.10 [7560]~P1(f317(f317(f319(x75604),x75603),x75605))+P1(f317(f317(f319(x75601),f317(x75602,x75603)),f317(f300(x75604,x75601,x75602),x75605)))
% 92.29/92.10 [7581]~P107(x75812)+E(f140(x75811,x75812,x75813,f317(f126(x75811,x75814),x75815)),f317(f126(x75811,x75814),f140(x75811,x75812,x75813,x75815)))
% 92.29/92.10 [7612]P1(f317(x76121,f317(x76122,x76123)))+~P1(f317(f317(f301(x76124,x76125,x76122),x76121),x76123))
% 92.29/92.10 [7613]P1(f317(f317(x76131,x76132),x76133))+~P1(f317(f317(f233(x76134,x76135,x76131),x76133),x76132))
% 92.29/92.10 [7614]P1(f317(f317(x76141,x76142),x76143))+~P1(f317(f317(f233(x76144,x76145,x76141),x76143),x76142))
% 92.29/92.10 [7615]P1(f317(f317(x76151,x76152),x76153))+~P1(f317(f317(f233(x76154,x76155,x76151),x76153),x76152))
% 92.29/92.10 [7680]~P1(f317(f317(f319(x76803),f317(x76804,x76802)),x76805))+P1(f317(f317(f319(x76801),x76802),f317(f301(x76801,x76803,x76804),x76805)))
% 92.29/92.10 [7681]~P1(f317(f317(f319(x76813),f317(x76814,x76812)),x76815))+P1(f317(f317(f319(x76811),x76812),f317(f301(x76811,x76813,x76814),x76815)))
% 92.29/92.10 [8078]~P1(f317(f317(f319(x80785),x80783),f317(f301(x80785,x80781,x80782),x80784)))+P1(f317(f317(f319(x80781),f317(x80782,x80783)),x80784))
% 92.29/92.10 [8079]~P1(f317(f317(f319(x80795),x80793),f317(f301(x80795,x80791,x80792),x80794)))+P1(f317(f317(f319(x80791),f317(x80792,x80793)),x80794))
% 92.29/92.10 [8378]~P16(x83782,x83781,x83783)+E(f317(f132(x83781,x83782,f317(f7(x83782,x83781,x83781),x83783),x83784),f142(x83782,x83785)),f317(f317(f59(x83782,x83781,x83783),x83784),f317(f162(x83782),x83785)))
% 92.29/92.10 [8400]E(f317(x84001,f850(x84002,x84001,x84003,x84004)),x84004)+~P1(f317(f317(f319(x84005),x84004),f317(f300(x84003,x84005,x84001),x84002)))
% 92.29/92.10 [8703]~E(x87032,f317(f317(f141(x87031),x87034),x87035))+P1(f317(f317(f319(f903(f898(x87031),f898(x87031))),f317(f317(f242(f898(x87031),f898(x87031)),f103(x87031)),x87032)),f137(x87031,x87033)))
% 92.29/92.10 [8749]E(f317(x87491,f317(f85(x87492,x87493,x87494,x87491),x87495)),x87495)+~P1(f317(f317(f319(x87493),x87495),f317(f300(x87492,x87493,x87491),x87494)))
% 92.29/92.10 [8752]P24(x87521,x87522,f85(x87522,x87521,x87523,x87524),x87525)+~P1(f317(f317(f224(f904(x87521,a893)),x87525),f317(f300(x87522,x87521,x87524),x87523)))
% 92.29/92.10 [8757]~P33(x87571,x87573,x87575,x87572,x87574)+E(f317(f179(f898(x87571)),x87572),f317(f179(f898(x87573)),x87574))
% 92.29/92.10 [8758]~P33(x87581,x87583,x87585,x87582,x87584)+E(f317(f179(f898(x87581)),x87582),f317(f179(f898(x87583)),x87584))
% 92.29/92.10 [8759]~P33(x87591,x87593,x87595,x87592,x87594)+E(f317(f179(f898(x87591)),x87592),f317(f179(f898(x87593)),x87594))
% 92.29/92.10 [8770]P1(f317(f317(f224(f904(x87701,a893)),f317(f317(f36(x87702,f904(x87701,a893)),x87703),x87704)),f317(x87704,x87705)))+~P1(f317(f317(f319(x87702),x87705),x87703))
% 92.29/92.10 [8824]~P56(x88241,x88242,x88243,x88245,x88244)+E(f317(f300(x88241,x88242,x88243),f232(f904(x88241,a893))),x88244)
% 92.29/92.10 [9049]E(f317(f126(x90491,x90492),f719(x90493,x90494,x90495,x90492,x90491)),x90493)+~E(f317(f126(x90491,x90492),x90495),f317(f317(f141(x90491),x90494),x90493))
% 92.29/92.10 [9050]E(f317(f126(x90501,x90502),f720(x90503,x90502,x90504,x90505,x90501)),x90504)+~E(f317(f317(f141(x90501),x90505),x90504),f317(f126(x90501,x90502),x90503))
% 92.29/92.10 [9142]E(f317(f179(f898(x91421)),x91422),x91423)+~P1(f317(f317(f319(f903(f898(x91421),f898(x91421))),f317(f317(f242(f898(x91421),f898(x91421)),x91424),x91422)),f317(f133(x91421,x91425),x91423)))
% 92.29/92.10 [9143]E(f317(f179(f898(x91431)),x91432),x91433)+~P1(f317(f317(f319(f903(f898(x91431),f898(x91431))),f317(f317(f242(f898(x91431),f898(x91431)),x91432),x91434)),f317(f133(x91431,x91435),x91433)))
% 92.29/92.10 [9213]P1(f317(f317(f319(x92131),f850(x92132,x92133,x92131,x92134)),x92132))+~P1(f317(f317(f319(x92135),x92134),f317(f300(x92131,x92135,x92133),x92132)))
% 92.29/92.10 [9374]E(f317(f300(x93741,x93742,x93743),f861(x93744,x93743,x93741,x93745,x93742)),x93745)+~P1(f317(f317(f224(f904(x93742,a893)),x93745),f317(f300(x93741,x93742,x93743),x93744)))
% 92.29/92.10 [9694]P1(f317(f317(f319(f903(f898(x96941),f898(x96941))),f317(f317(f242(f898(x96941),f898(x96941)),f317(f317(f141(x96941),x96942),x96943)),f317(f317(f141(x96941),x96942),x96944))),f297(f898(x96941),f147(x96941,x96945))))+~P1(f317(f317(f319(f903(f898(x96941),f898(x96941))),f317(f317(f242(f898(x96941),f898(x96941)),x96943),x96944)),f297(f898(x96941),f147(x96941,x96945))))
% 92.29/92.10 [9725]~E(f317(x97253,f672(x97255,x97254,x97253,x97252,x97251)),f317(x97255,f672(x97255,x97254,x97253,x97252,x97251)))+E(f317(f317(f144(x97251,x97252),x97253),x97254),f317(f317(f144(x97251,x97252),x97255),x97254))
% 92.29/92.10 [9800]~E(f317(f126(x98001,x98005),x98004),f317(f317(f141(x98001),x98003),x98002))+E(f317(f317(f124(x98001),f724(x98002,x98003,x98004,x98005,x98001)),f317(f317(f141(x98001),x98003),f719(x98002,x98003,x98004,x98005,x98001))),x98004)
% 92.29/92.10 [9801]~E(f317(f317(f141(x98011),x98015),x98014),f317(f126(x98011,x98013),x98012))+E(f317(f317(f124(x98011),f721(x98012,x98013,x98014,x98015,x98011)),f317(f317(f141(x98011),x98015),f720(x98012,x98013,x98014,x98015,x98011))),x98012)
% 92.29/92.10 [9805]E(f317(f317(f144(x98051,x98052),x98053),x98054),f317(f317(f144(x98051,x98052),x98055),x98054))+P1(f317(f317(f319(x98051),f672(x98053,x98054,x98055,x98052,x98051)),f317(f162(x98051),x98054)))
% 92.29/92.10 [9835]~P1(f317(f317(f319(x98355),x98354),f317(f275(x98351,x98355,x98353),x98352)))+P1(f317(f317(f319(x98351),f369(x98352,x98353,x98351,x98354,x98355)),x98352))
% 92.29/92.10 [9836]~P1(f317(f317(f319(x98365),x98364),f317(f275(x98361,x98365,x98363),x98362)))+P1(f317(f317(f319(x98361),f452(x98362,x98363,x98361,x98364,x98365)),x98362))
% 92.29/92.10 [9866]~P1(f317(f317(f224(f904(x98665,a893)),x98664),f317(f300(x98661,x98665,x98663),x98662)))+P1(f317(f317(f224(f904(x98661,a893)),f861(x98662,x98663,x98661,x98664,x98665)),x98662))
% 92.29/92.10 [10310]E(x103101,f2(a89))+E(f213(f903(f898(x103102),x103103),f903(x103102,x103103),f317(f317(f242(f898(x103102),x103103),f103(x103102)),x103104),f317(f247(x103102,x103103,f903(f898(x103102),x103103)),f317(f317(f7(x103102,f904(x103103,f903(f898(x103102),x103103)),f904(x103103,f903(f898(x103102),x103103))),f317(f317(f8(f904(f903(f898(x103102),x103103),f903(f898(x103102),x103103)),f904(f904(x103103,f903(f898(x103102),x103103)),f904(x103103,f903(f898(x103102),x103103))),x103102),f8(f903(f898(x103102),x103103),f903(f898(x103102),x103103),x103103)),f317(f317(f8(f904(f898(x103102),f904(x103103,f903(f898(x103102),x103103))),f904(f903(f898(x103102),x103103),f903(f898(x103102),x103103)),x103102),f247(f898(x103102),x103103,f903(f898(x103102),x103103))),f317(f317(f8(f904(f898(x103102),f898(x103102)),f904(f898(x103102),f904(x103103,f903(f898(x103102),x103103))),x103102),f317(f8(f898(x103102),f904(x103103,f903(f898(x103102),x103103)),f898(x103102)),f242(f898(x103102),x103103))),f141(x103102))))),f317(f107(x103103,x103102,x103105),f317(f317(f23(a89),x103101),f72(a89))))),f317(x103105,x103104)),f317(f317(f107(x103103,x103102,x103105),x103101),x103104))
% 92.29/92.10 [6086]E(x60861,x60862)+~E(f317(f246(x60863,x60864),f317(f317(f242(x60863,x60864),x60865),x60861)),x60862)
% 92.29/92.10 [6087]E(x60871,x60872)+~E(f317(f241(x60873,x60874),f317(f317(f242(x60873,x60874),x60871),x60875)),x60872)
% 92.29/92.10 [6359]~E(x63593,f317(f317(f124(x63591),x63594),f317(f317(f141(x63591),x63592),x63595)))+P1(f317(f317(f319(x63591),x63592),f317(f162(x63591),x63593)))
% 92.29/92.10 [6768]E(f317(f300(x67681,x67682,f317(f16(x67682,x67681),x67683)),x67684),f317(f317(f299(x67682),x67683),f178(f904(x67682,a893))))+~P1(f317(f317(f319(x67681),x67685),x67684))
% 92.29/92.10 [6842]E(f317(f317(f91(f904(x68421,a893)),f317(f162(x68421),x68422)),f317(f162(x68421),x68423)),f317(f162(x68421),x68424))+~E(f156(x68421,x68425,x68424),f317(f317(f242(f898(x68421),f898(x68421)),x68422),x68423))
% 92.29/92.10 [6943]~P107(x69432)+E(f317(f179(f898(x69431)),f317(f317(f138(x69431,x69432,x69433),x69434),x69435)),f317(a102,f317(f179(f898(x69431)),x69435)))
% 92.29/92.10 [6957]~P107(x69572)+E(f317(f162(x69571),f317(f317(f138(x69571,x69572,x69573),x69574),x69575)),f317(f317(f299(x69571),x69574),f317(f162(x69571),x69575)))
% 92.29/92.10 [7235]~P119(x72351)+E(f317(f317(f74(x72351),f317(f317(f74(x72351),x72352),x72353)),f317(f317(f74(x72351),x72354),x72355)),f317(f317(f74(x72351),f317(f317(f74(x72351),x72352),x72354)),f317(f317(f74(x72351),x72353),x72355)))
% 92.29/92.10 [7236]~P119(x72361)+E(f317(f317(f75(x72361),f317(f317(f75(x72361),x72362),x72363)),f317(f317(f75(x72361),x72364),x72365)),f317(f317(f75(x72361),f317(f317(f75(x72361),x72362),x72364)),f317(f317(f75(x72361),x72363),x72365)))
% 92.29/92.10 [7237]~P61(x72371)+E(f317(f317(f281(x72371),f317(f317(f75(x72371),x72372),x72373)),f317(f317(f75(x72371),x72374),x72375)),f317(f317(f75(x72371),f317(f317(f281(x72371),x72372),x72374)),f317(f317(f281(x72371),x72373),x72375)))
% 92.29/92.10 [7251]~P107(x72511)+E(f296(x72511,f317(f317(f223(x72511),x72512),x72513),f317(f317(f228(x72511),x72514),x72515)),f317(f317(f92(f904(x72511,a893)),f296(x72511,x72512,x72514)),f296(x72511,x72513,x72515)))
% 92.29/92.10 [7252]~P107(x72521)+E(f295(x72521,f317(f317(f223(x72521),x72522),x72523),f317(f317(f228(x72521),x72524),x72525)),f317(f317(f92(f904(x72521,a893)),f295(x72521,x72522,x72524)),f295(x72521,x72523,x72525)))
% 92.29/92.10 [7253]~P107(x72531)+E(f293(x72531,f317(f317(f223(x72531),x72532),x72533),f317(f317(f228(x72531),x72534),x72535)),f317(f317(f92(f904(x72531,a893)),f293(x72531,x72532,x72534)),f293(x72531,x72533,x72535)))
% 92.29/92.10 [7254]~P107(x72541)+E(f317(f317(f92(f904(x72541,a893)),f317(f292(x72541,x72542),x72543)),f317(f292(x72541,x72544),x72545)),f317(f292(x72541,f317(f317(f223(x72541),x72542),x72544)),f317(f317(f228(x72541),x72543),x72545)))
% 92.29/92.10 [7374]~P1(f317(x73741,f876(x73743,x73742,x73741)))+P1(f317(x73741,f317(f317(f242(x73742,x73743),x73744),x73745)))
% 92.29/92.10 [7486]~E(x74862,f317(x74864,x74865))+P1(f317(f317(f319(x74861),x74862),f317(f300(x74863,x74861,x74864),f232(f904(x74863,a893)))))
% 92.29/92.10 [7558]~P14(x75583,x75582,x75584)+P14(x75581,x75582,f317(f317(f8(x75583,f904(x75582,x75582),x75581),x75584),x75585))
% 92.29/92.10 [7559]~P16(x75593,x75592,x75594)+P16(x75591,x75592,f317(f317(f8(x75593,f904(x75592,x75592),x75591),x75594),x75595))
% 92.29/92.10 [7698]~P24(x76981,x76982,x76983,x76984)+P24(x76981,x76982,x76983,f317(f317(f23(f904(x76981,a893)),x76984),x76985))
% 92.29/92.10 [7854]~P1(f317(f317(x78543,x78544),x78545))+P1(f317(f317(f247(x78541,x78542,a893),x78543),f317(f317(f242(x78541,x78542),x78544),x78545)))
% 92.29/92.10 [7855]~P1(f317(f317(x78553,x78554),x78555))+P1(f317(f317(f247(x78551,x78552,a893),x78553),f317(f317(f242(x78551,x78552),x78554),x78555)))
% 92.29/92.10 [7969]~P1(f317(x79692,x79694))+~E(f317(f317(f128(x79691),f317(f179(f898(x79691)),f167(x79691,x79692,x79693))),x79693),f317(f317(f141(x79691),x79694),x79695))
% 92.29/92.10 [7989]P24(x79891,x79892,x79893,x79894)+~P24(x79891,x79892,x79893,f317(f317(f91(f904(x79891,a893)),x79895),x79894))
% 92.29/92.10 [7990]P24(x79901,x79902,x79903,x79904)+~P24(x79901,x79902,x79903,f317(f317(f91(f904(x79901,a893)),x79904),x79905))
% 92.29/92.10 [8037]~P107(x80372)+E(f317(f317(f138(x80371,x80372,x80373),x80374),f140(x80371,x80372,x80373,x80375)),f140(x80371,x80372,x80373,f317(f317(f141(x80371),x80374),x80375)))
% 92.29/92.10 [8355]~P14(x83552,x83551,x83553)+E(f317(f132(x83551,x83552,f317(f7(x83552,x83551,x83551),x83553),x83554),x83555),f317(f317(f59(x83552,x83551,x83553),x83554),f317(f162(x83552),x83555)))
% 92.29/92.10 [8383]~E(f317(f317(f128(x83831),f317(f179(f898(x83831)),f167(x83831,x83832,x83833))),x83833),f317(f317(f141(x83831),x83834),x83835))+E(f317(f317(f124(x83831),f167(x83831,x83832,x83833)),f317(f317(f141(x83831),x83834),x83835)),x83833)
% 92.29/92.10 [8410]P1(f317(f317(x84101,x84102),x84103))+~P1(f317(f317(f247(x84104,x84105,a893),x84101),f317(f317(f242(x84104,x84105),x84102),x84103)))
% 92.29/92.10 [8887]P1(f317(f317(f224(f904(x88871,a893)),f317(f300(x88872,x88871,x88873),x88874)),f317(f300(x88872,x88871,x88873),x88875)))+~P1(f317(f317(f224(f904(x88872,a893)),x88874),x88875))
% 92.29/92.10 [8888]P1(f317(f317(f224(f904(x88881,a893)),f317(f301(x88881,x88882,x88883),x88884)),f317(f301(x88881,x88882,x88883),x88885)))+~P1(f317(f317(f224(f904(x88882,a893)),x88884),x88885))
% 92.29/92.10 [8967]E(x89671,f2(a89))+E(f317(f317(f249(x89672,x89673,x89672,f903(x89673,x89672)),f317(x89674,x89675)),f263(x89673,x89672,f317(f317(f23(a89),x89671),f72(a89)),x89674)),f317(f263(x89673,x89672,x89671,x89674),x89675))
% 92.29/92.10 [9074]P1(f317(f317(f245(x90741,x90742,a893,x90743),x90744),x90745))+~P1(f317(x90743,f317(f317(f242(x90741,x90742),x90744),x90745)))
% 92.29/92.10 [9351]~P1(f317(f317(f245(x93512,x93513,a893,x93511),x93514),x93515))+P1(f317(x93511,f317(f317(f242(x93512,x93513),x93514),x93515)))
% 92.29/92.10 [9352]~P1(f317(f317(f245(x93522,x93523,a893,x93521),x93524),x93525))+P1(f317(x93521,f317(f317(f242(x93522,x93523),x93524),x93525)))
% 92.29/92.10 [9537]~P1(f317(f317(f319(x95372),x95375),f317(f300(x95371,x95372,x95374),x95373)))+P1(f317(f317(f319(x95371),f317(f85(x95371,x95372,x95373,x95374),x95375)),x95373))
% 92.29/92.10 [9636]~P1(f317(f29(x96363),f317(f300(x96362,x96363,x96365),f232(f904(x96362,a893)))))+P1(f317(f29(x96361),f317(f300(x96362,x96361,f317(f317(f8(x96363,x96361,x96362),x96364),x96365)),f232(f904(x96362,a893)))))
% 92.29/92.10 [9661]P1(f317(f317(f224(f904(f904(x96611,a893),a893)),f317(f300(f904(x96612,a893),f904(x96611,a893),f300(x96612,x96611,x96613)),f317(f298(x96612),x96614))),f317(f298(x96611),x96615)))+~P1(f317(f317(f224(f904(x96611,a893)),f317(f300(x96612,x96611,x96613),x96614)),x96615))
% 92.29/92.10 [9733]E(x97331,x97332)+~P1(f317(f61(x97333,x97334,x97335,x97331,f178(f904(x97333,a893))),x97332))
% 92.29/92.10 [9749]E(f317(f317(f242(x97491,x97492),f506(x97493,x97494,x97495,x97492,x97491)),f507(x97493,x97494,x97495,x97492,x97491)),x97495)+~P1(f317(f317(f319(f903(x97491,x97492)),x97495),f317(f317(f244(x97491,x97492),x97494),x97493)))
% 92.29/92.10 [9841]P1(f317(f317(f319(x98411),f506(x98412,x98413,x98414,x98415,x98411)),x98413))+~P1(f317(f317(f319(f903(x98411,x98415)),x98414),f317(f317(f244(x98411,x98415),x98413),x98412)))
% 92.29/92.10 [9996]P1(f317(f317(f319(x99961),f507(x99962,x99963,x99964,x99961,x99965)),f317(x99962,f506(x99962,x99963,x99964,x99961,x99965))))+~P1(f317(f317(f319(f903(x99965,x99961)),x99964),f317(f317(f244(x99965,x99961),x99963),x99962)))
% 92.29/92.10 [10016]P1(f317(f317(f319(f903(x100161,x100161)),f317(f317(f242(x100161,x100161),x100162),f607(x100163,x100164,x100165,x100162,x100161))),x100163))+~P1(f317(f317(f319(f903(x100161,x100161)),f317(f317(f242(x100161,x100161),x100162),x100165)),f317(f317(f173(f903(x100161,x100161),a893),f317(a102,x100164)),x100163)))
% 92.29/92.10 [10017]P1(f317(f317(f319(f903(x100171,x100171)),f317(f317(f242(x100171,x100171),x100172),f608(x100173,x100174,x100175,x100172,x100171))),x100173))+~P1(f317(f317(f319(f903(x100171,x100171)),f317(f317(f242(x100171,x100171),x100172),x100175)),f317(f317(f173(f903(x100171,x100171),a893),f317(a102,x100174)),x100173)))
% 92.29/92.10 [10034]~P1(f317(f317(f319(f903(f898(x100341),f898(x100341))),f317(f317(f242(f898(x100341),f898(x100341)),f317(f317(f141(x100341),x100342),x100345)),x100344)),f148(x100341,x100343)))+P1(f317(f317(f319(f903(x100341,x100341)),f317(f317(f242(x100341,x100341),x100342),f629(x100343,x100344,x100345,x100342,x100341))),x100343))
% 92.29/92.10 [6439]P1(f317(x64392,x64394))+E(f167(x64391,x64392,f317(f317(f124(x64391),x64393),f317(f317(f141(x64391),x64394),x64395))),f167(x64391,x64392,x64393))
% 92.29/92.10 [6487]~P69(x64872)+E(f317(f317(f317(f23(f904(x64871,x64872)),x64873),x64874),x64875),f317(f317(f23(x64872),f317(x64873,x64875)),f317(x64874,x64875)))
% 92.29/92.10 [6488]~P69(x64882)+E(f317(f317(f317(f23(f904(x64881,x64882)),x64883),x64884),x64885),f317(f317(f23(x64882),f317(x64883,x64885)),f317(x64884,x64885)))
% 92.29/92.10 [6489]~P99(x64892)+E(f317(f317(f317(f91(f904(x64891,x64892)),x64893),x64894),x64895),f317(f317(f91(x64892),f317(x64893,x64895)),f317(x64894,x64895)))
% 92.29/92.10 [6490]~P99(x64902)+E(f317(f317(f317(f91(f904(x64901,x64902)),x64903),x64904),x64905),f317(f317(f91(x64902),f317(x64903,x64905)),f317(x64904,x64905)))
% 92.29/92.10 [6491]~P99(x64912)+E(f317(f317(f317(f92(f904(x64911,x64912)),x64913),x64914),x64915),f317(f317(f92(x64912),f317(x64913,x64915)),f317(x64914,x64915)))
% 92.29/92.10 [6492]~P99(x64922)+E(f317(f317(f317(f92(f904(x64921,x64922)),x64923),x64924),x64925),f317(f317(f92(x64922),f317(x64923,x64925)),f317(x64924,x64925)))
% 92.29/92.10 [6512]E(x65121,x65122)+E(f317(f317(f154(x65123),f317(f317(f149(x65123,x65124),x65121),x65125)),x65122),f317(f317(f154(x65123),x65124),x65122))
% 92.29/92.10 [6786]~E(x67864,f178(f904(x67863,a893)))+E(f317(f317(f23(f904(x67861,a893)),x67862),f317(f317(f35(x67863,f904(x67861,a893)),x67864),x67865)),x67862)
% 92.29/92.10 [6787]~E(x67874,f178(f904(x67873,a893)))+E(f317(f317(f91(f904(x67871,a893)),x67872),f317(f317(f35(x67873,f904(x67871,a893)),x67874),x67875)),x67872)
% 92.29/92.10 [6788]~E(x67884,f178(f904(x67883,a893)))+E(f317(f317(f92(f904(x67881,a893)),x67882),f317(f317(f36(x67883,f904(x67881,a893)),x67884),x67885)),x67882)
% 92.29/92.10 [6804]~E(x68044,f178(f904(x68043,a893)))+E(f317(f317(f299(x68041),x68042),f317(f317(f35(x68043,f904(x68041,a893)),x68044),x68045)),f317(f317(f299(x68041),x68042),f178(f904(x68041,a893))))
% 92.29/92.10 [7234]~P119(x72341)+E(f317(f317(f75(x72341),f317(f317(f75(x72341),x72342),x72343)),f317(f317(f75(x72341),x72344),x72345)),f317(f317(f75(x72341),x72342),f317(f317(f75(x72341),x72343),f317(f317(f75(x72341),x72344),x72345))))
% 92.29/92.10 [7604]E(f317(f317(f154(x76041),f317(f317(f144(x76042,x76041),x76043),x76044)),x76045),f317(x76043,f317(f317(f154(x76042),x76044),x76045)))+~P1(f317(f317(f225(a897),x76045),f317(f179(f898(x76042)),x76044)))
% 92.29/92.10 [7669]E(f317(f317(f91(f904(x76691,a893)),f317(x76692,x76693)),f317(f317(f35(x76694,f904(x76691,a893)),x76695),x76692)),f317(f317(f35(x76694,f904(x76691,a893)),x76695),x76692))+~P1(f317(f317(f319(x76694),x76693),x76695))
% 92.29/92.10 [7670]E(f317(f317(f92(f904(x76701,a893)),f317(x76702,x76703)),f317(f317(f36(x76704,f904(x76701,a893)),x76705),x76702)),f317(f317(f36(x76704,f904(x76701,a893)),x76705),x76702))+~P1(f317(f317(f319(x76704),x76703),x76705))
% 92.29/92.10 [8277]~E(x82773,f178(f904(x82771,a893)))+E(f317(f317(f35(x82771,f904(x82772,a893)),x82773),f317(f317(f8(f904(x82772,a893),f904(x82772,a893),x82771),f317(f299(x82772),x82774)),x82775)),f178(f904(x82772,a893)))
% 92.29/92.10 [8282]~P1(f317(f317(f319(x82824),x82823),x82825))+P1(f317(f317(f224(f904(x82821,a893)),f317(x82822,x82823)),f317(f317(f35(x82824,f904(x82821,a893)),x82825),x82822)))
% 92.29/92.10 [8409]~E(f317(x84094,x84092),x84095)+P1(f317(f317(f319(x84091),x84092),f317(f301(x84091,x84093,x84094),f317(f317(f299(x84093),x84095),f178(f904(x84093,a893))))))
% 92.29/92.10 [8456]~P54(x84561,x84562,f317(f276(x84562,x84561),x84563))+E(f317(f317(f92(f904(x84561,a893)),f317(f275(x84562,x84561,x84563),x84564)),f317(f275(x84562,x84561,x84563),x84565)),f317(f275(x84562,x84561,x84563),f317(f317(f92(f904(x84562,a893)),x84564),x84565)))
% 92.29/92.10 [8532]E(x85321,f2(a89))+E(f317(f108(x85322,x85323,f317(x85324,f317(f317(f23(a89),x85321),f72(a89)))),f317(f317(f7(x85322,a89,f899(x85323)),x85325),x85321)),f317(f188(x85322,x85323,x85324,x85325),x85321))
% 92.29/92.10 [8569]E(x85691,f178(f904(x85692,a893)))+E(f317(f317(f35(x85692,f904(x85693,a893)),x85691),f317(f317(f8(f904(x85693,a893),f904(x85693,a893),x85692),f317(f299(x85693),x85694)),x85695)),f317(f317(f299(x85693),x85694),f317(f317(f35(x85692,f904(x85693,a893)),x85691),x85695)))
% 92.29/92.10 [8570]E(x85701,f178(f904(x85702,a893)))+E(f317(f317(f35(x85702,f904(x85703,a893)),x85701),f317(f317(f8(f904(x85703,a893),f904(x85703,a893),x85702),f317(f299(x85703),x85704)),x85705)),f317(f317(f299(x85703),x85704),f317(f317(f35(x85702,f904(x85703,a893)),x85701),x85705)))
% 92.29/92.10 [8621]~P24(x86212,x86211,x86213,f232(f904(x86212,a893)))+E(f317(f317(f23(f904(x86211,a893)),f317(f300(x86212,x86211,x86213),x86214)),f317(f300(x86212,x86211,x86213),x86215)),f317(f300(x86212,x86211,x86213),f317(f317(f23(f904(x86212,a893)),x86214),x86215)))
% 92.29/92.10 [8622]~P24(x86222,x86221,x86223,f232(f904(x86222,a893)))+E(f317(f317(f92(f904(x86221,a893)),f317(f300(x86222,x86221,x86223),x86224)),f317(f300(x86222,x86221,x86223),x86225)),f317(f300(x86222,x86221,x86223),f317(f317(f92(f904(x86222,a893)),x86224),x86225)))
% 92.29/92.10 [8690]~P1(f317(f317(f62(x86901,x86902,x86905),x86903),x86904))+P1(f317(f317(f319(f903(x86901,x86902)),f317(f317(f242(x86901,x86902),x86903),x86904)),x86905))
% 92.29/92.10 [8721]P1(f317(f317(f319(x87211),x87212),f317(f274(x87213,x87211),x87214)))+~P1(f317(f317(f319(f903(x87213,x87211)),f317(f317(f242(x87213,x87211),x87215),x87212)),x87214))
% 92.29/92.10 [8722]P1(f317(f317(f319(x87221),x87222),f317(f274(x87223,x87221),x87224)))+~P1(f317(f317(f319(f903(x87223,x87221)),f317(f317(f242(x87223,x87221),x87225),x87222)),x87224))
% 92.29/92.10 [8723]P1(f317(f317(f319(x87231),x87232),f317(f254(x87231,x87233),x87234)))+~P1(f317(f317(f319(f903(x87231,x87233)),f317(f317(f242(x87231,x87233),x87232),x87235)),x87234))
% 92.29/92.10 [8724]P1(f317(f317(f319(x87241),x87242),f317(f254(x87241,x87243),x87244)))+~P1(f317(f317(f319(f903(x87241,x87243)),f317(f317(f242(x87241,x87243),x87242),x87245)),x87244))
% 92.29/92.10 [8871]P1(f317(f317(f62(x88711,x88712,x88713),x88714),x88715))+~P1(f317(f317(f319(f903(x88711,x88712)),f317(f317(f242(x88711,x88712),x88714),x88715)),x88713))
% 92.29/92.10 [8910]E(f317(x89101,x89102),x89103)+~P1(f317(f317(f319(x89104),x89102),f317(f301(x89104,x89105,x89101),f317(f317(f299(x89105),x89103),f178(f904(x89105,a893))))))
% 92.29/92.10 [9138]P1(f317(f317(f319(f903(x91381,x91382)),f317(f317(f242(x91381,x91382),x91383),x91384)),f317(f276(x91382,x91381),x91385)))+~P1(f317(f317(f319(f903(x91382,x91381)),f317(f317(f242(x91382,x91381),x91384),x91383)),x91385))
% 92.29/92.10 [9139]P1(f317(f317(f319(f903(x91391,x91392)),f317(f317(f242(x91391,x91392),x91393),x91394)),f317(f276(x91392,x91391),x91395)))+~P1(f317(f317(f319(f903(x91392,x91391)),f317(f317(f242(x91392,x91391),x91394),x91393)),x91395))
% 92.29/92.10 [9157]~P1(f317(f317(x91571,x91575),x91574))+P1(f317(f317(x91571,f317(f246(x91572,x91573),f317(f317(f242(x91572,x91573),x91574),x91575))),f317(f241(x91572,x91573),f317(f317(f242(x91572,x91573),x91574),x91575))))
% 92.29/92.10 [9187]~P1(f317(f317(f319(f903(x91872,x91871)),f317(f317(f242(x91872,x91871),x91874),x91873)),f317(f276(x91871,x91872),x91875)))+P1(f317(f317(f319(f903(x91871,x91872)),f317(f317(f242(x91871,x91872),x91873),x91874)),x91875))
% 92.29/92.10 [9188]~P1(f317(f317(f319(f903(x91882,x91881)),f317(f317(f242(x91882,x91881),x91884),x91883)),f317(f276(x91881,x91882),x91885)))+P1(f317(f317(f319(f903(x91881,x91882)),f317(f317(f242(x91881,x91882),x91883),x91884)),x91885))
% 92.29/92.10 [9220]~P1(f317(f317(f319(f903(x92203,x92201)),f317(f317(f242(x92203,x92201),x92205),x92202)),x92204))+P1(f317(f317(f319(x92201),x92202),f317(f275(x92203,x92201,x92204),f317(f317(f299(x92203),x92205),f178(f904(x92203,a893))))))
% 92.29/92.10 [9267]P1(f317(f317(f319(f903(x92671,x92672)),f317(f317(f242(x92671,x92672),x92673),x92674)),x92675))+~P1(f317(f317(f319(x92672),x92674),f317(f275(x92671,x92672,x92675),f317(f317(f299(x92671),x92673),f178(f904(x92671,a893))))))
% 92.29/92.10 [9359]~P77(x93591)+E(f317(f317(f6(a897,x93591),x93592),f293(a897,f317(f317(f74(a897),x93593),x93594),f317(f317(f74(a897),x93595),x93594))),f317(f317(f6(a897,x93591),f317(f317(f8(a897,x93591,a897),x93592),f317(f317(f7(a897,a897,a897),f74(a897)),x93594))),f293(a897,x93593,x93595)))
% 92.29/92.10 [9379]~P77(x93791)+E(f317(f317(f6(a897,x93791),x93792),f317(f292(a897,f317(f317(f74(a897),x93793),x93794)),f317(f317(f74(a897),x93795),x93794))),f317(f317(f6(a897,x93791),f317(f317(f8(a897,x93791,a897),x93792),f317(f317(f7(a897,a897,a897),f74(a897)),x93794))),f317(f292(a897,x93793),x93795)))
% 92.29/92.10 [9437]~P24(x94371,x94372,x94373,f232(f904(x94371,a893)))+E(f317(f317(f144(x94371,x94372),x94373),f317(f126(x94371,f317(f317(f8(a893,a893,x94371),a312),f317(a314,x94374))),x94375)),f317(f126(x94372,f317(f317(f8(a893,a893,x94372),a312),f317(a314,f317(x94373,x94374)))),f317(f317(f144(x94371,x94372),x94373),x94375)))
% 92.29/92.10 [9455]~P24(x94551,x94552,x94553,f317(f317(f299(x94551),x94554),f317(f162(x94551),x94555)))+E(f317(f317(f144(x94551,x94552),x94553),f317(f126(x94551,f317(f317(f8(a893,a893,x94551),a312),f317(a314,x94554))),x94555)),f317(f126(x94552,f317(f317(f8(a893,a893,x94552),a312),f317(a314,f317(x94553,x94554)))),f317(f317(f144(x94551,x94552),x94553),x94555)))
% 92.29/92.10 [9624]P1(f317(f317(f319(f903(f898(x96241),f898(x96241))),f317(f317(f242(f898(x96241),f898(x96241)),f317(f317(f141(x96241),x96242),x96243)),f317(f317(f141(x96241),x96244),x96243))),f147(x96241,x96245)))+~P1(f317(f317(f319(f903(x96241,x96241)),f317(f317(f242(x96241,x96241),x96242),x96244)),x96245))
% 92.29/92.10 [9744]E(f317(f317(f299(x97441),f642(x97442,x97443,x97444,x97445,x97441)),f654(x97442,x97443,x97444,x97445,x97441)),f317(f317(f299(x97441),x97444),x97443))+~P1(f317(f57(x97441,x97445,f317(f317(f299(x97441),x97444),x97443)),x97442))
% 92.29/92.10 [9745]E(f317(f317(f299(x97451),f670(x97452,x97453,x97454,x97455,x97451)),f680(x97452,x97453,x97454,x97455,x97451)),f317(f317(f299(x97451),x97454),x97453))+~P1(f317(f57(x97451,x97455,f317(f317(f299(x97451),x97454),x97453)),x97452))
% 92.29/92.10 [9826]P1(f317(f317(f319(x98261),f471(x98262,x98263,x98264,x98265,x98261)),x98264))+P1(f317(f317(f317(f36(x98261,f904(x98265,a893)),x98264),x98263),x98262))
% 92.29/92.10 [9831]P1(f317(f317(f319(x98311),f469(x98312,x98313,x98311,x98314,x98315)),x98313))+P1(f317(f317(f319(x98315),x98314),f317(f317(f36(x98311,f904(x98315,a893)),x98313),x98312)))
% 92.29/92.10 [9839]P1(f317(f317(f319(x98391),f470(x98392,x98393,x98391,x98394,x98395)),x98393))+P1(f317(f317(f224(f904(x98395,a893)),x98394),f317(f317(f36(x98391,f904(x98395,a893)),x98393),x98392)))
% 92.29/92.10 [9840]P1(f317(f317(f319(x98401),f811(x98402,x98403,x98404,x98405,x98401)),x98405))+P1(f317(f317(f224(f904(x98404,a893)),x98403),f317(f317(f36(x98401,f904(x98404,a893)),x98405),x98402)))
% 92.29/92.10 [9842]P1(f317(f317(x98421,f356(x98422,x98421,x98423,x98424,x98425)),x98422))+~P1(f317(f317(f317(f35(x98425,f904(x98424,a893)),x98423),x98421),x98422))
% 92.29/92.10 [9846]P1(f317(f317(f319(x98461),f356(x98462,x98463,x98464,x98465,x98461)),x98464))+~P1(f317(f317(f317(f35(x98461,f904(x98465,a893)),x98464),x98463),x98462))
% 92.29/92.10 [9847]P52(x98474,f317(f317(f36(x98471,f904(x98474,a893)),x98475),x98473),f317(f317(f36(x98471,f904(f903(x98474,x98474),a893)),x98475),x98472))+P1(f317(f317(f319(x98471),f752(x98472,x98473,x98474,x98475,x98471)),x98475))
% 92.29/92.10 [9848]P52(x98484,f317(f317(f35(x98481,f904(x98484,a893)),x98485),x98483),f317(f317(f35(x98481,f904(f903(x98484,x98484),a893)),x98485),x98482))+P1(f317(f317(f319(x98481),f808(x98482,x98483,x98484,x98485,x98481)),x98485))
% 92.29/92.10 [9858]P1(f317(f317(f319(x98581),f363(x98582,x98583,x98581,x98584,x98585)),x98583))+~P1(f317(f317(f319(x98585),x98584),f317(f317(f35(x98581,f904(x98585,a893)),x98583),x98582)))
% 92.29/92.10 [9864]P1(f317(f317(f319(x98641),x98642),f317(x98643,f363(x98643,x98644,x98645,x98642,x98641))))+~P1(f317(f317(f319(x98641),x98642),f317(f317(f35(x98645,f904(x98641,a893)),x98644),x98643)))
% 92.29/92.10 [9945]~P1(f317(f317(x99454,f471(x99455,x99454,x99453,x99452,x99451)),x99455))+P1(f317(f317(f317(f36(x99451,f904(x99452,a893)),x99453),x99454),x99455))
% 92.29/92.10 [9948]~P1(f317(f317(f319(x99481),x99482),f317(x99485,f469(x99485,x99484,x99483,x99482,x99481))))+P1(f317(f317(f319(x99481),x99482),f317(f317(f36(x99483,f904(x99481,a893)),x99484),x99485)))
% 92.29/92.10 [9952]~P52(x99521,f317(x99524,f808(x99525,x99524,x99521,x99523,x99522)),f317(x99525,f808(x99525,x99524,x99521,x99523,x99522)))+P52(x99521,f317(f317(f35(x99522,f904(x99521,a893)),x99523),x99524),f317(f317(f35(x99522,f904(f903(x99521,x99521),a893)),x99523),x99525))
% 92.29/92.10 [9953]~P52(x99531,f317(x99534,f752(x99535,x99534,x99531,x99533,x99532)),f317(x99535,f752(x99535,x99534,x99531,x99533,x99532)))+P52(x99531,f317(f317(f36(x99532,f904(x99531,a893)),x99533),x99534),f317(f317(f36(x99532,f904(f903(x99531,x99531),a893)),x99533),x99535))
% 92.29/92.10 [9954]~P1(f317(f317(f224(f904(x99541,a893)),x99542),f317(x99545,f470(x99545,x99544,x99543,x99542,x99541))))+P1(f317(f317(f224(f904(x99541,a893)),x99542),f317(f317(f36(x99543,f904(x99541,a893)),x99544),x99545)))
% 92.29/92.10 [9955]~P1(f317(f317(f224(f904(x99551,a893)),x99552),f317(x99555,f811(x99555,x99552,x99551,x99554,x99553))))+P1(f317(f317(f224(f904(x99551,a893)),x99552),f317(f317(f36(x99553,f904(x99551,a893)),x99554),x99555)))
% 92.29/92.10 [10020]~P1(f317(f317(f319(x100201),f642(x100205,x100204,x100203,x100202,x100201)),f654(x100205,x100204,x100203,x100202,x100201)))+~P1(f317(f57(x100201,x100202,f317(f317(f299(x100201),x100203),x100204)),x100205))
% 92.29/92.10 [10021]~P1(f317(f317(f319(x100211),f670(x100215,x100214,x100213,x100212,x100211)),f680(x100215,x100214,x100213,x100212,x100211)))+~P1(f317(f57(x100211,x100212,f317(f317(f299(x100211),x100213),x100214)),x100215))
% 92.29/92.10 [10022]~P1(f317(f317(f319(f903(x100221,x100221)),f317(f317(f242(x100221,x100221),x100222),x100225)),f317(f317(f173(f903(x100221,x100221),a893),f317(a102,x100224)),x100223)))+P1(f317(f317(f319(f903(x100221,x100221)),f317(f317(f242(x100221,x100221),x100222),f609(x100223,x100224,x100225,x100222,x100221))),f317(f317(f173(f903(x100221,x100221),a893),x100224),x100223)))
% 92.29/92.10 [10028]P1(f317(f61(x100281,x100281,x100282,f642(x100283,x100284,x100285,x100282,x100281),f654(x100283,x100284,x100285,x100282,x100281)),x100283))+~P1(f317(f57(x100281,x100282,f317(f317(f299(x100281),x100285),x100284)),x100283))
% 92.29/92.10 [10029]P1(f317(f61(x100291,x100291,x100292,f670(x100293,x100294,x100295,x100292,x100291),f680(x100293,x100294,x100295,x100292,x100291)),x100293))+~P1(f317(f57(x100291,x100292,f317(f317(f299(x100291),x100295),x100294)),x100293))
% 92.29/92.10 [10039]~P107(x100391)+P13(x100391,f317(f317(f144(x100392,x100391),x100393),f317(f126(x100392,f317(f317(f7(x100392,x100391,a893),f317(f317(f8(x100391,f904(x100391,a893),x100392),a314),x100393)),f317(x100394,x100395))),x100395)))
% 92.29/92.10 [10089]~P1(f317(f317(f319(x100892),x100895),f317(f275(x100891,x100892,x100894),x100893)))+P1(f317(f317(f319(f903(x100891,x100892)),f317(f317(f242(x100891,x100892),f369(x100893,x100894,x100891,x100895,x100892)),x100895)),x100894))
% 92.29/92.10 [10090]~P1(f317(f317(f319(x100902),x100905),f317(f275(x100901,x100902,x100904),x100903)))+P1(f317(f317(f319(f903(x100901,x100902)),f317(f317(f242(x100901,x100902),f452(x100903,x100904,x100901,x100905,x100902)),x100905)),x100904))
% 92.29/92.10 [10110]~P1(f317(f317(f319(f903(x101101,x101101)),f317(f317(f242(x101101,x101101),x101105),x101104)),f317(f317(f173(f903(x101101,x101101),a893),f317(a102,x101103)),x101102)))+P1(f317(f317(f319(f903(x101101,x101101)),f317(f317(f242(x101101,x101101),f609(x101102,x101103,x101104,x101105,x101101)),x101104)),x101102))
% 92.29/92.10 [10113]~P1(f317(f317(f319(f903(x101131,x101131)),f317(f317(f242(x101131,x101131),x101135),x101134)),f317(f317(f173(f903(x101131,x101131),a893),f317(a102,x101133)),x101132)))+P1(f317(f317(f319(f903(x101131,x101131)),f317(f317(f242(x101131,x101131),f607(x101132,x101133,x101134,x101135,x101131)),x101134)),f317(f317(f173(f903(x101131,x101131),a893),x101133),x101132)))
% 92.29/92.10 [10114]~P1(f317(f317(f319(f903(x101141,x101141)),f317(f317(f242(x101141,x101141),x101145),x101144)),f317(f317(f173(f903(x101141,x101141),a893),f317(a102,x101143)),x101142)))+P1(f317(f317(f319(f903(x101141,x101141)),f317(f317(f242(x101141,x101141),f608(x101142,x101143,x101144,x101145,x101141)),x101144)),f317(f317(f173(f903(x101141,x101141),a893),x101143),x101142)))
% 92.29/92.10 [10115]~P1(f317(f317(f319(f903(f898(x101151),f898(x101151))),f317(f317(f242(f898(x101151),f898(x101151)),x101155),f317(f317(f141(x101151),x101154),x101153))),f148(x101151,x101152)))+P1(f317(f317(f319(f903(x101151,x101151)),f317(f317(f242(x101151,x101151),f628(x101152,x101153,x101154,x101155,x101151)),x101154)),x101152))
% 92.29/92.10 [7690]~E(x76903,f178(f904(x76902,a893)))+E(f317(f317(f91(f904(x76901,a893)),f317(f317(f35(x76902,f904(x76901,a893)),x76903),x76904)),x76905),x76905)
% 92.29/92.10 [7691]~E(x76913,f178(f904(x76912,a893)))+E(f317(f317(f92(f904(x76911,a893)),f317(f317(f36(x76912,f904(x76911,a893)),x76913),x76914)),x76915),x76915)
% 92.29/92.10 [7744]~P119(x77441)+E(f317(f317(f75(x77441),f317(f317(f75(x77441),x77442),x77443)),f317(f317(f75(x77441),x77444),x77445)),f317(f317(f75(x77441),x77444),f317(f317(f75(x77441),f317(f317(f75(x77441),x77442),x77443)),x77445)))
% 92.29/92.10 [8118]~E(x81183,f178(f904(x81182,a893)))+E(f317(f317(f23(f904(x81181,a893)),f317(f317(f36(x81182,f904(x81181,a893)),x81183),x81184)),x81185),f317(f317(f23(f904(x81181,a893)),f232(f904(x81181,a893))),x81185))
% 92.29/92.10 [8250]E(f317(f317(f149(x82501,f317(f317(f124(x82501),x82502),x82503)),x82504),x82505),f317(f317(f124(x82501),f317(f317(f149(x82501,x82502),x82504),x82505)),x82503))+~P1(f317(f317(f225(a897),x82504),f317(f179(f898(x82501)),x82502)))
% 92.29/92.10 [8251]E(f317(f317(f149(x82511,f317(f317(f124(x82511),x82512),x82513)),x82514),x82515),f317(f317(f124(x82511),f317(f317(f149(x82511,x82512),x82514),x82515)),x82513))+~P1(f317(f317(f225(a897),x82514),f317(f179(f898(x82511)),x82512)))
% 92.29/92.10 [8522]E(f317(f317(f154(x85221),f317(f317(f144(a897,x85221),x85222),f129(a897,f317(f292(a897,x85223),x85224)))),x85225),f317(x85222,f317(f317(f74(a897),x85223),x85225)))+~P1(f317(f317(f225(a897),x85225),f317(f317(f23(a897),x85224),x85223)))
% 92.29/92.10 [8536]E(x85361,f2(a89))+E(f112(x85362,x85363,f317(x85364,f317(f317(f23(a89),x85361),f72(a89))),f317(f317(f7(x85362,a89,f899(f900(x85363))),x85365),x85361)),f317(f186(x85362,x85363,x85364,x85365),x85361))
% 92.29/92.10 [8560]~E(x85603,f178(f904(x85601,a893)))+E(f317(f317(f35(x85601,f904(x85602,a893)),x85603),f317(f317(f8(f904(x85602,a893),f904(x85602,a893),x85601),f317(f91(f904(x85602,a893)),x85604)),x85605)),f178(f904(x85602,a893)))
% 92.29/92.10 [8561]~E(x85613,f178(f904(x85611,a893)))+E(f317(f317(f36(x85611,f904(x85612,a893)),x85613),f317(f317(f8(f904(x85612,a893),f904(x85612,a893),x85611),f317(f23(f904(x85612,a893)),x85614)),x85615)),f232(f904(x85612,a893)))
% 92.29/92.10 [8562]~E(x85623,f178(f904(x85621,a893)))+E(f317(f317(f36(x85621,f904(x85622,a893)),x85623),f317(f317(f8(f904(x85622,a893),f904(x85622,a893),x85621),f317(f92(f904(x85622,a893)),x85624)),x85625)),f232(f904(x85622,a893)))
% 92.29/92.10 [8564]~P145(x85642)+E(f317(f317(f6(x85641,x85642),f317(f317(f8(x85642,x85642,x85641),f317(f75(x85642),x85643)),x85644)),x85645),f317(f317(f75(x85642),x85643),f317(f317(f6(x85641,x85642),x85644),x85645)))
% 92.29/92.10 [8852]E(x88521,f178(f904(x88522,a893)))+E(f317(f317(f36(x88522,f904(x88523,a893)),x88521),f317(f317(f8(f904(x88523,a893),f904(x88523,a893),x88522),f317(f23(f904(x88523,a893)),x88524)),x88525)),f317(f317(f23(f904(x88523,a893)),x88524),f317(f317(f35(x88522,f904(x88523,a893)),x88521),x88525)))
% 92.29/92.10 [8853]E(x88531,f178(f904(x88532,a893)))+E(f317(f317(f35(x88532,f904(x88533,a893)),x88531),f317(f317(f8(f904(x88533,a893),f904(x88533,a893),x88532),f317(f91(f904(x88533,a893)),x88534)),x88535)),f317(f317(f91(f904(x88533,a893)),x88534),f317(f317(f35(x88532,f904(x88533,a893)),x88531),x88535)))
% 92.29/92.10 [8854]E(x88541,f178(f904(x88542,a893)))+E(f317(f317(f36(x88542,f904(x88543,a893)),x88541),f317(f317(f8(f904(x88543,a893),f904(x88543,a893),x88542),f317(f92(f904(x88543,a893)),x88544)),x88545)),f317(f317(f92(f904(x88543,a893)),x88544),f317(f317(f36(x88542,f904(x88543,a893)),x88541),x88545)))
% 92.29/92.10 [8855]E(x88551,f178(f904(x88552,a893)))+E(f317(f317(f35(x88552,f904(x88553,a893)),x88551),f317(f317(f8(f904(x88553,a893),f904(x88553,a893),x88552),f317(f91(f904(x88553,a893)),x88554)),x88555)),f317(f317(f91(f904(x88553,a893)),x88554),f317(f317(f35(x88552,f904(x88553,a893)),x88551),x88555)))
% 92.29/92.10 [8856]E(x88561,f178(f904(x88562,a893)))+E(f317(f317(f36(x88562,f904(x88563,a893)),x88561),f317(f317(f8(f904(x88563,a893),f904(x88563,a893),x88562),f317(f23(f904(x88563,a893)),x88564)),x88565)),f317(f317(f23(f904(x88563,a893)),x88564),f317(f317(f35(x88562,f904(x88563,a893)),x88561),x88565)))
% 92.29/92.10 [8857]E(x88571,f178(f904(x88572,a893)))+E(f317(f317(f36(x88572,f904(x88573,a893)),x88571),f317(f317(f8(f904(x88573,a893),f904(x88573,a893),x88572),f317(f92(f904(x88573,a893)),x88574)),x88575)),f317(f317(f92(f904(x88573,a893)),x88574),f317(f317(f36(x88572,f904(x88573,a893)),x88571),x88575)))
% 92.29/92.10 [9055]~P1(f317(f317(f225(a897),f317(x90554,x90552)),f317(x90554,x90553)))+P1(f317(f317(f319(f903(x90551,x90551)),f317(f317(f242(x90551,x90551),x90552),x90553)),f143(x90551,f317(f317(f141(f904(x90551,a897)),x90554),x90555))))
% 92.29/92.10 [9056]~P1(f317(f317(f225(a897),f317(x90564,x90562)),f317(x90564,x90563)))+P1(f317(f317(f319(f903(x90561,x90561)),f317(f317(f242(x90561,x90561),x90562),x90563)),f143(x90561,f317(f317(f141(f904(x90561,a897)),x90564),x90565))))
% 92.29/92.10 [9323]~P24(x93232,x93231,x93233,f317(f317(f91(f904(x93232,a893)),x93234),x93235))+E(f317(f317(f92(f904(x93231,a893)),f317(f300(x93232,x93231,x93233),f317(f317(f23(f904(x93232,a893)),x93234),x93235))),f317(f300(x93232,x93231,x93233),f317(f317(f23(f904(x93232,a893)),x93235),x93234))),f178(f904(x93231,a893)))
% 92.29/92.10 [9586]~P24(x95863,x95861,x95865,f232(f904(x95863,a893)))+E(f317(f67(x95861,x95862,x95863,f317(f67(x95863,x95862,x95861,x95864),f85(x95863,x95861,f232(f904(x95863,a893)),x95865))),x95865),x95864)
% 92.29/92.10 [9620]~P1(f317(f317(f224(f904(x96203,a893)),f317(f275(x96201,x96203,x96204),x96202)),x96205))+P1(f317(f317(f224(f904(x96201,a893)),x96202),f317(f73(f904(x96201,a893)),f317(f275(x96203,x96201,f317(f276(x96201,x96203),x96204)),f317(f73(f904(x96203,a893)),x96205)))))
% 92.29/92.10 [9645]~P24(x96451,x96452,x96453,f317(f317(f299(x96451),x96454),x96455))+~P1(f317(f317(f319(x96452),f317(x96453,x96454)),f317(f300(x96451,x96452,x96453),f317(f317(f23(f904(x96451,a893)),x96455),f317(f317(f299(x96451),x96454),f178(f904(x96451,a893)))))))
% 92.29/92.10 [9698]P1(f317(f317(f224(f904(x96981,a893)),f317(f275(x96982,x96981,x96983),x96984)),x96985))+~P1(f317(f317(f224(f904(x96982,a893)),x96984),f317(f73(f904(x96982,a893)),f317(f275(x96981,x96982,f317(f276(x96982,x96981),x96983)),f317(f73(f904(x96981,a893)),x96985)))))
% 92.29/92.10 [9771]~P85(x97711)+P1(f317(f317(f224(x97711),f317(f70(x97711),f317(f317(f23(x97711),f317(f317(f74(x97711),x97712),x97713)),f317(f317(f74(x97711),x97714),x97715)))),f317(f317(f74(x97711),f317(f70(x97711),f317(f317(f23(x97711),x97712),x97714))),f317(f70(x97711),f317(f317(f23(x97711),x97713),x97715)))))
% 92.29/92.10 [9879]P1(f317(f317(f319(x98791),f367(x98792,x98793,x98794,x98791,x98795)),x98794))+P1(f317(f317(f224(f904(x98795,a893)),f317(f317(f35(x98791,f904(x98795,a893)),x98794),x98793)),x98792))
% 92.29/92.10 [10057]~P1(f317(f317(f224(f904(x100571,a893)),f317(x100574,f367(x100575,x100574,x100573,x100572,x100571))),x100575))+P1(f317(f317(f224(f904(x100571,a893)),f317(f317(f35(x100572,f904(x100571,a893)),x100573),x100574)),x100575))
% 92.29/92.10 [8669]E(f317(f317(f124(x86691),x86692),f317(f317(f149(x86691,x86693),f317(f317(f23(a897),x86694),f317(f179(f898(x86691)),x86692))),x86695)),f317(f317(f149(x86691,f317(f317(f124(x86691),x86692),x86693)),x86694),x86695))+P1(f317(f317(f225(a897),x86694),f317(f179(f898(x86691)),x86692)))
% 92.29/92.10 [8697]~P142(x86971)+E(f317(f317(f74(x86971),f317(f317(f75(x86971),x86972),x86973)),f317(f317(f74(x86971),f317(f317(f75(x86971),x86974),x86973)),x86975)),f317(f317(f74(x86971),f317(f317(f75(x86971),f317(f317(f74(x86971),x86972),x86974)),x86973)),x86975))
% 92.29/92.10 [9276]~P145(x92761)+E(f317(f155(x92761),f317(f317(f144(x92762,x92761),f317(f317(f8(x92761,x92761,x92762),f317(f75(x92761),x92763)),x92764)),x92765)),f317(f317(f75(x92761),x92763),f317(f155(x92761),f317(f317(f144(x92762,x92761),x92764),x92765))))
% 92.29/92.10 [9454]E(f317(f179(f898(x94541)),f317(f317(f165(x94541),f317(f317(f228(a897),f317(f179(f898(x94541)),x94542)),f317(f179(f898(x94543)),x94544))),x94542)),f317(f179(f898(x94543)),f317(f317(f165(x94543),f317(f317(f228(a897),f317(f179(f898(x94541)),x94542)),f317(f179(f898(x94543)),x94544))),x94544)))+P1(f317(x94545,f317(f317(f171(x94541,x94543),x94542),x94544)))
% 92.29/92.10 [9708]~P145(x97082)+E(f317(f317(f6(x97081,x97082),f317(f317(f7(x97081,x97082,x97082),f317(f317(f8(x97082,f904(x97082,x97082),x97081),f75(x97082)),x97083)),x97084)),x97085),f317(f317(f75(x97082),f317(f317(f6(x97081,x97082),x97083),x97085)),x97084))
% 92.29/92.10 [9709]~P62(x97092)+E(f317(f317(f6(x97091,x97092),f317(f317(f7(x97091,x97092,x97092),f317(f317(f8(x97092,f904(x97092,x97092),x97091),f281(x97092)),x97093)),x97094)),x97095),f317(f317(f281(x97092),f317(f317(f6(x97091,x97092),x97093),x97095)),x97094))
% 92.29/92.10 [9716]~P76(x97162)+E(f317(f317(f9(x97161,x97162),f317(f317(f18(x97161,x97162,x97162),f317(f317(f8(x97162,f904(x97162,x97162),x97161),f75(x97162)),x97163)),x97164)),x97165),f317(f317(f75(x97162),f317(f317(f9(x97161,x97162),x97163),x97165)),f317(f317(f9(x97161,x97162),x97164),x97165)))
% 92.29/92.10 [9717]~P68(x97172)+E(f317(f317(f6(x97171,x97172),f317(f317(f18(x97171,x97172,x97172),f317(f317(f8(x97172,f904(x97172,x97172),x97171),f23(x97172)),x97173)),x97174)),x97175),f317(f317(f23(x97172),f317(f317(f6(x97171,x97172),x97173),x97175)),f317(f317(f6(x97171,x97172),x97174),x97175)))
% 92.29/92.10 [9718]~P77(x97182)+E(f317(f317(f6(x97181,x97182),f317(f317(f18(x97181,x97182,x97182),f317(f317(f8(x97182,f904(x97182,x97182),x97181),f74(x97182)),x97183)),x97184)),x97185),f317(f317(f74(x97182),f317(f317(f6(x97181,x97182),x97183),x97185)),f317(f317(f6(x97181,x97182),x97184),x97185)))
% 92.29/92.10 [9756]~E(x97563,f178(f904(x97561,a893)))+E(f317(f317(f35(x97561,f904(x97562,a893)),x97563),f317(f317(f7(x97561,f904(x97562,a893),f904(x97562,a893)),f317(f317(f8(f904(x97562,a893),f904(f904(x97562,a893),f904(x97562,a893)),x97561),f91(f904(x97562,a893))),x97564)),x97565)),f178(f904(x97562,a893)))
% 92.29/92.10 [9757]~E(x97573,f178(f904(x97571,a893)))+E(f317(f317(f36(x97571,f904(x97572,a893)),x97573),f317(f317(f7(x97571,f904(x97572,a893),f904(x97572,a893)),f317(f317(f8(f904(x97572,a893),f904(f904(x97572,a893),f904(x97572,a893)),x97571),f23(f904(x97572,a893))),x97574)),x97575)),f232(f904(x97572,a893)))
% 92.29/92.10 [9758]~E(x97583,f178(f904(x97581,a893)))+E(f317(f317(f36(x97581,f904(x97582,a893)),x97583),f317(f317(f7(x97581,f904(x97582,a893),f904(x97582,a893)),f317(f317(f8(f904(x97582,a893),f904(f904(x97582,a893),f904(x97582,a893)),x97581),f92(f904(x97582,a893))),x97584)),x97585)),f232(f904(x97582,a893)))
% 92.29/92.10 [9776]E(x97761,f178(f904(x97762,a893)))+E(f317(f317(f36(x97762,f904(x97763,a893)),x97761),f317(f317(f7(x97762,f904(x97763,a893),f904(x97763,a893)),f317(f317(f8(f904(x97763,a893),f904(f904(x97763,a893),f904(x97763,a893)),x97762),f23(f904(x97763,a893))),x97764)),x97765)),f317(f317(f23(f904(x97763,a893)),f317(f317(f36(x97762,f904(x97763,a893)),x97761),x97764)),x97765))
% 92.29/92.10 [9777]E(x97771,f178(f904(x97772,a893)))+E(f317(f317(f35(x97772,f904(x97773,a893)),x97771),f317(f317(f7(x97772,f904(x97773,a893),f904(x97773,a893)),f317(f317(f8(f904(x97773,a893),f904(f904(x97773,a893),f904(x97773,a893)),x97772),f91(f904(x97773,a893))),x97774)),x97775)),f317(f317(f91(f904(x97773,a893)),f317(f317(f35(x97772,f904(x97773,a893)),x97771),x97774)),x97775))
% 92.29/92.10 [9778]E(x97781,f178(f904(x97782,a893)))+E(f317(f317(f36(x97782,f904(x97783,a893)),x97781),f317(f317(f7(x97782,f904(x97783,a893),f904(x97783,a893)),f317(f317(f8(f904(x97783,a893),f904(f904(x97783,a893),f904(x97783,a893)),x97782),f92(f904(x97783,a893))),x97784)),x97785)),f317(f317(f92(f904(x97783,a893)),f317(f317(f36(x97782,f904(x97783,a893)),x97781),x97784)),x97785))
% 92.29/92.10 [9779]E(x97791,f178(f904(x97792,a893)))+E(f317(f317(f35(x97792,f904(x97793,a893)),x97791),f317(f317(f7(x97792,f904(x97793,a893),f904(x97793,a893)),f317(f317(f8(f904(x97793,a893),f904(f904(x97793,a893),f904(x97793,a893)),x97792),f91(f904(x97793,a893))),x97794)),x97795)),f317(f317(f91(f904(x97793,a893)),f317(f317(f35(x97792,f904(x97793,a893)),x97791),x97794)),x97795))
% 92.29/92.10 [9780]E(x97801,f178(f904(x97802,a893)))+E(f317(f317(f36(x97802,f904(x97803,a893)),x97801),f317(f317(f7(x97802,f904(x97803,a893),f904(x97803,a893)),f317(f317(f8(f904(x97803,a893),f904(f904(x97803,a893),f904(x97803,a893)),x97802),f23(f904(x97803,a893))),x97804)),x97805)),f317(f317(f23(f904(x97803,a893)),f317(f317(f36(x97802,f904(x97803,a893)),x97801),x97804)),x97805))
% 92.29/92.10 [9781]E(x97811,f178(f904(x97812,a893)))+E(f317(f317(f36(x97812,f904(x97813,a893)),x97811),f317(f317(f7(x97812,f904(x97813,a893),f904(x97813,a893)),f317(f317(f8(f904(x97813,a893),f904(f904(x97813,a893),f904(x97813,a893)),x97812),f92(f904(x97813,a893))),x97814)),x97815)),f317(f317(f92(f904(x97813,a893)),f317(f317(f36(x97812,f904(x97813,a893)),x97811),x97814)),x97815))
% 92.29/92.10 [9328]~P1(f317(f317(f224(a897),x93281),x93284))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),x93281),x93282)),x93283)),f317(f317(f74(a897),f317(f317(f75(a897),x93284),x93282)),x93285)),f317(f317(f23(a897),x93283),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x93284),x93281)),x93282)),x93285)))
% 92.29/92.10 [9928]~P145(x99281)+E(f317(f155(x99281),f317(f317(f144(x99282,x99281),f317(f317(f7(x99282,x99281,x99281),f317(f317(f8(x99281,f904(x99281,x99281),x99282),f75(x99281)),x99283)),x99284)),x99285)),f317(f317(f75(x99281),f317(f155(x99281),f317(f317(f144(x99282,x99281),x99283),x99285))),x99284))
% 92.29/92.10 [9934]~P68(x99341)+E(f317(f155(x99341),f317(f317(f144(x99342,x99341),f317(f317(f18(x99342,x99341,x99341),f317(f317(f8(x99341,f904(x99341,x99341),x99342),f23(x99341)),x99343)),x99344)),x99345)),f317(f317(f23(x99341),f317(f155(x99341),f317(f317(f144(x99342,x99341),x99343),x99345))),f317(f155(x99341),f317(f317(f144(x99342,x99341),x99344),x99345))))
% 92.29/92.10 [9935]~P77(x99351)+E(f317(f155(x99351),f317(f317(f144(x99352,x99351),f317(f317(f18(x99352,x99351,x99351),f317(f317(f8(x99351,f904(x99351,x99351),x99352),f74(x99351)),x99353)),x99354)),x99355)),f317(f317(f74(x99351),f317(f155(x99351),f317(f317(f144(x99352,x99351),x99353),x99355))),f317(f155(x99351),f317(f317(f144(x99352,x99351),x99354),x99355))))
% 92.29/92.10 [10081]P1(f317(x100811,f317(f317(f171(x100812,x100813),x100814),x100815)))+~P1(f317(x100811,f317(f317(f171(x100812,x100813),f317(f317(f165(x100812),f317(f317(f228(a897),f317(f179(f898(x100812)),x100814)),f317(f179(f898(x100813)),x100815))),x100814)),f317(f317(f165(x100813),f317(f317(f228(a897),f317(f179(f898(x100812)),x100814)),f317(f179(f898(x100813)),x100815))),x100815))))
% 92.29/92.10 [10343]~P1(f317(f317(f319(f903(x103432,x103431)),f317(f317(f242(x103432,x103431),x103434),x103435)),f317(f276(x103431,x103432),x103433)))+P1(f317(f317(f233(x103431,x103432,f317(f317(f7(x103431,f904(f903(x103431,x103432),a893),f904(x103432,a893)),f317(f317(f8(f904(x103432,f904(f904(f903(x103431,x103432),a893),a893)),f904(f904(f903(x103431,x103432),a893),f904(x103432,a893)),x103431),f7(x103432,f904(f903(x103431,x103432),a893),a893)),f317(f317(f8(f904(x103432,f903(x103431,x103432)),f904(x103432,f904(f904(f903(x103431,x103432),a893),a893)),x103431),f317(f8(f903(x103431,x103432),f904(f904(f903(x103431,x103432),a893),a893),x103432),f319(f903(x103431,x103432)))),f242(x103431,x103432)))),x103433)),x103434),x103435))
% 92.29/92.10 [10353]P1(f317(f317(f319(f903(x103531,x103532)),f317(f317(f242(x103531,x103532),x103533),x103534)),f317(f276(x103532,x103531),x103535)))+~P1(f317(f317(f233(x103532,x103531,f317(f317(f7(x103532,f904(f903(x103532,x103531),a893),f904(x103531,a893)),f317(f317(f8(f904(x103531,f904(f904(f903(x103532,x103531),a893),a893)),f904(f904(f903(x103532,x103531),a893),f904(x103531,a893)),x103532),f7(x103531,f904(f903(x103532,x103531),a893),a893)),f317(f317(f8(f904(x103531,f903(x103532,x103531)),f904(x103531,f904(f904(f903(x103532,x103531),a893),a893)),x103532),f317(f8(f903(x103532,x103531),f904(f904(f903(x103532,x103531),a893),a893),x103531),f319(f903(x103532,x103531)))),f242(x103532,x103531)))),x103535)),x103533),x103534))
% 92.29/92.10 [9585]~P1(f317(f317(f224(a897),x95854),x95851))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),x95851),x95852)),x95853)),f317(f317(f74(a897),f317(f317(f75(a897),x95854),x95852)),x95855)),f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x95851),x95854)),x95852)),x95853)),x95855))
% 92.29/92.10 [7382]E(x73821,x73822)+~E(f210(x73823,x73824,x73825,x73821),f210(x73823,x73824,x73826,x73822))
% 92.29/92.10 [7383]E(x73831,x73832)+~E(f210(x73833,x73834,x73831,x73835),f210(x73833,x73834,x73832,x73836))
% 92.29/92.10 [8506]~P19(x85065,x85061,x85062,x85066)+E(f317(f67(x85061,x85061,x85061,f317(x85062,x85063)),f317(x85062,x85064)),f317(f67(x85061,x85061,x85061,f317(x85062,x85064)),f317(x85062,x85063)))
% 92.29/92.10 [8741]~P56(x87414,x87415,x87412,x87411,x87416)+E(f317(x87411,f317(x87412,x87413)),x87413)
% 92.29/92.10 [8908]P24(x89081,x89082,x89083,x89084)+~P24(x89081,x89085,f317(f67(x89082,x89085,x89081,x89086),x89083),x89084)
% 92.29/92.10 [8980]~E(x89806,x89804)+E(f317(f69(x89801,x89802,x89803,x89804,x89805),x89806),x89805)
% 92.29/92.10 [8981]~E(x89816,x89814)+E(f317(f69(x89811,x89812,x89813,x89814,x89815),x89816),x89815)
% 92.29/92.10 [8985]E(x89851,x89852)+E(f317(f69(x89853,x89854,x89855,x89852,x89856),x89851),f317(x89855,x89851))
% 92.29/92.10 [8986]E(x89861,x89862)+E(f317(f69(x89863,x89864,x89865,x89862,x89866),x89861),f317(x89865,x89861))
% 92.29/92.10 [8987]E(x89871,x89872)+E(f317(f69(x89873,x89874,x89875,x89872,x89876),x89871),f317(x89875,x89871))
% 92.29/92.10 [8999]~P24(x89994,x89992,f317(f67(x89991,x89992,x89994,x89993),x89995),x89996)+P24(x89991,x89992,x89993,f317(f300(x89994,x89991,x89995),x89996))
% 92.29/92.10 [9719]P1(f317(f29(x97191),x97192))+~P1(f317(f61(x97191,x97193,x97194,x97195,x97192),x97196))
% 92.29/92.10 [9728]~P1(f317(f317(f319(x97284),x97283),f290(x97284,x97285,x97281,x97282,x97286)))+P1(f317(f317(x97281,x97282),x97283))
% 92.29/92.10 [9729]~P1(f317(f317(f319(x97294),x97293),f287(x97294,x97291,x97295,x97292,x97296)))+P1(f317(f317(x97291,x97292),x97293))
% 92.29/92.10 [9730]~P1(f317(f317(f319(x97304),x97302),f290(x97304,x97301,x97305,x97306,x97303)))+P1(f317(f317(x97301,x97302),x97303))
% 92.29/92.10 [9731]~P1(f317(f317(f319(x97314),x97312),f287(x97314,x97315,x97311,x97316,x97313)))+P1(f317(f317(x97311,x97312),x97313))
% 92.29/92.10 [10230]P12(x102301,x102302,x102303,x102304,x102305,x102306)+~E(f317(f317(x102306,f829(x102303,x102306,x102305,x102302,x102304,x102301)),f831(x102303,x102306,x102305,x102302,x102304,x102301)),f317(f317(x102306,f830(x102303,x102306,x102305,x102302,x102304,x102301)),f832(x102303,x102306,x102305,x102302,x102304,x102301)))
% 92.29/92.10 [5837]E(x58371,x58372)+~E(f317(f317(f242(x58373,x58374),x58375),x58371),f317(f317(f242(x58373,x58374),x58376),x58372))
% 92.29/92.10 [5838]E(x58381,x58382)+~E(f317(f317(f242(x58383,x58384),x58385),x58381),f317(f317(f242(x58383,x58384),x58386),x58382))
% 92.29/92.10 [5839]E(x58391,x58392)+~E(f317(f317(f242(x58393,x58394),x58391),x58395),f317(f317(f242(x58393,x58394),x58392),x58396))
% 92.29/92.10 [5840]E(x58401,x58402)+~E(f317(f317(f242(x58403,x58404),x58401),x58405),f317(f317(f242(x58403,x58404),x58402),x58406))
% 92.29/92.10 [5985]~P16(x59855,x59856,x59851)+E(f317(f317(x59851,x59852),f317(f317(x59851,x59853),x59854)),f317(f317(x59851,x59853),f317(f317(x59851,x59852),x59854)))
% 92.29/92.10 [7449]~P31(x74494,x74491,f317(f317(f141(x74494),x74492),x74495),f317(f317(f141(x74494),x74493),x74496))+P1(f317(f317(x74491,x74492),x74493))
% 92.29/92.10 [7808]P31(x78081,x78082,x78083,x78084)+~P31(x78081,x78082,f317(f317(f141(x78081),x78085),x78083),f317(f317(f141(x78081),x78086),x78084))
% 92.29/92.10 [8845]~P56(x88455,x88451,x88452,x88456,x88454)+P1(f317(f317(f319(x88451),f317(x88452,x88453)),x88454))
% 92.29/92.10 [9047]~E(x90473,f317(f317(f141(x90471),x90475),x90476))+P1(f317(f317(f319(f903(f898(x90471),f898(x90471))),f317(f317(f242(f898(x90471),f898(x90471)),x90472),f317(f317(f124(x90471),x90472),x90473))),f137(x90471,x90474)))
% 92.29/92.10 [9282]~P33(x92821,x92822,x92823,x92825,x92826)+P33(x92821,x92822,x92823,f317(f317(f165(x92821),x92824),x92825),f317(f317(f165(x92822),x92824),x92826))
% 92.29/92.10 [9283]~P33(x92831,x92832,x92833,x92835,x92836)+P33(x92831,x92832,x92833,f317(f317(f128(x92831),x92834),x92835),f317(f317(f128(x92832),x92834),x92836))
% 92.29/92.10 [9547]E(f317(f300(x95471,x95472,f69(x95471,x95472,x95473,x95474,x95475)),x95476),f317(f300(x95471,x95472,x95473),x95476))+P1(f317(f317(f319(x95471),x95474),x95476))
% 92.29/92.10 [9550]E(f317(f317(f144(x95501,x95502),f69(x95501,x95502,x95503,x95504,x95505)),x95506),f317(f317(f144(x95501,x95502),x95503),x95506))+P1(f317(f317(f319(x95501),x95504),f317(f162(x95501),x95506)))
% 92.29/92.10 [9791]~P23(x97914,x97912,x97915,x97913,x97916,x97911)+E(f317(x97911,f178(f904(x97912,a893))),x97913)
% 92.29/92.10 [10023]~E(f317(x100234,f317(f241(x100231,x100233),x100235)),f317(x100236,f317(f241(x100231,x100233),x100235)))+E(f317(f248(x100231,x100232,x100233,x100233,x100234,f25(x100233)),x100235),f317(f248(x100231,x100232,x100233,x100233,x100236,f25(x100233)),x100235))
% 92.29/92.10 [10024]~E(f317(x100244,f317(f246(x100241,x100242),x100245)),f317(x100246,f317(f246(x100241,x100242),x100245)))+E(f317(f248(x100241,x100241,x100242,x100243,f25(x100241),x100244),x100245),f317(f248(x100241,x100241,x100242,x100243,f25(x100241),x100246),x100245))
% 92.29/92.10 [10077]~E(f317(f248(x100772,x100776,x100773,x100773,x100771,f25(x100773)),x100774),f317(f248(x100772,x100776,x100773,x100773,x100775,f25(x100773)),x100774))+E(f317(x100771,f317(f241(x100772,x100773),x100774)),f317(x100775,f317(f241(x100772,x100773),x100774)))
% 92.29/92.10 [10078]~E(f317(f248(x100782,x100782,x100783,x100786,f25(x100782),x100781),x100784),f317(f248(x100782,x100782,x100783,x100786,f25(x100782),x100785),x100784))+E(f317(x100781,f317(f246(x100782,x100783),x100784)),f317(x100785,f317(f246(x100782,x100783),x100784)))
% 92.29/92.10 [8946]P1(f317(f317(f319(x89461),x89462),x89463))+~P1(f317(f317(f319(f903(x89461,x89464)),f317(f317(f242(x89461,x89464),x89462),x89465)),f317(f317(f244(x89461,x89464),x89463),x89466)))
% 92.29/92.10 [8947]P1(f317(f317(f319(x89471),x89472),x89473))+~P1(f317(f317(f319(f903(x89471,x89474)),f317(f317(f242(x89471,x89474),x89472),x89475)),f317(f317(f244(x89471,x89474),x89473),x89476)))
% 92.29/92.10 [8948]P1(f317(f317(f319(x89481),x89482),x89483))+~P1(f317(f317(f319(f903(x89481,x89484)),f317(f317(f242(x89481,x89484),x89482),x89485)),f317(f317(f244(x89481,x89484),x89483),x89486)))
% 92.29/92.10 [8962]P1(f317(f317(f319(x89621),x89622),f317(x89623,x89624)))+~P1(f317(f317(f319(f903(x89625,x89621)),f317(f317(f242(x89625,x89621),x89624),x89622)),f317(f317(f244(x89625,x89621),x89626),x89623)))
% 92.29/92.10 [8963]P1(f317(f317(f319(x89631),x89632),f317(x89633,x89634)))+~P1(f317(f317(f319(f903(x89635,x89631)),f317(f317(f242(x89635,x89631),x89634),x89632)),f317(f317(f244(x89635,x89631),x89636),x89633)))
% 92.29/92.10 [8964]P1(f317(f317(f319(x89641),x89642),f317(x89643,x89644)))+~P1(f317(f317(f319(f903(x89645,x89641)),f317(f317(f242(x89645,x89641),x89644),x89642)),f317(f317(f244(x89645,x89641),x89646),x89643)))
% 92.29/92.10 [9404]P1(f317(f317(f319(f903(x94041,x94041)),f317(f317(f242(x94041,x94041),f317(x94042,x94043)),f317(x94042,x94044))),x94045))+~P1(f317(f317(f319(f903(x94046,x94046)),f317(f317(f242(x94046,x94046),x94043),x94044)),f317(f317(f278(x94041,x94046),x94045),x94042)))
% 92.29/92.10 [9424]~P1(f317(f317(f319(f903(x94244,x94244)),f317(f317(f242(x94244,x94244),f317(x94246,x94242)),f317(x94246,x94243))),x94245))+P1(f317(f317(f319(f903(x94241,x94241)),f317(f317(f242(x94241,x94241),x94242),x94243)),f317(f317(f278(x94244,x94241),x94245),x94246)))
% 92.29/92.10 [10080]E(f317(f317(f242(x100801,x100802),f618(x100803,x100804,x100805,x100806,x100802,x100801)),f619(x100803,x100804,x100805,x100806,x100802,x100801)),x100806)+~P1(f317(f317(f319(f903(x100801,x100802)),x100806),f317(f317(f279(x100801,x100805,x100802),x100804),x100803)))
% 92.29/92.10 [10301]~P1(f317(f317(f319(f903(x103011,x103016)),x103015),f317(f317(f279(x103011,x103012,x103016),x103014),x103013)))+P1(f317(f317(f319(f903(x103011,x103012)),f317(f317(f242(x103011,x103012),f618(x103013,x103014,x103012,x103015,x103016,x103011)),f620(x103013,x103014,x103012,x103015,x103016,x103011))),x103014))
% 92.29/92.10 [10302]~P1(f317(f317(f319(f903(x103026,x103022)),x103025),f317(f317(f279(x103026,x103021,x103022),x103024),x103023)))+P1(f317(f317(f319(f903(x103021,x103022)),f317(f317(f242(x103021,x103022),f620(x103023,x103024,x103021,x103025,x103022,x103026)),f619(x103023,x103024,x103021,x103025,x103022,x103026))),x103023))
% 92.29/92.10 [10303]P12(x103031,x103032,x103033,x103034,x103035,x103036)+P1(f317(f317(f319(f903(x103032,x103032)),f317(f317(f242(x103032,x103032),f832(x103033,x103036,x103035,x103032,x103034,x103031)),f831(x103033,x103036,x103035,x103032,x103034,x103031))),x103035))
% 92.29/92.10 [10304]P12(x103041,x103042,x103043,x103044,x103045,x103046)+P1(f317(f317(f319(f903(x103041,x103041)),f317(f317(f242(x103041,x103041),f830(x103043,x103046,x103045,x103042,x103044,x103041)),f829(x103043,x103046,x103045,x103042,x103044,x103041))),x103044))
% 92.29/92.10 [7879]~P5(x78792)+E(f317(f317(f35(x78791,x78792),x78793),f317(f317(f7(x78791,x78794,x78792),x78795),x78796)),f317(f317(f317(f35(x78791,f904(x78794,x78792)),x78793),x78795),x78796))
% 92.29/92.10 [7880]~P5(x78802)+E(f317(f317(f36(x78801,x78802),x78803),f317(f317(f7(x78801,x78804,x78802),x78805),x78806)),f317(f317(f317(f36(x78801,f904(x78804,x78802)),x78803),x78805),x78806))
% 92.29/92.10 [8651]E(f317(f317(f35(x86511,f904(x86512,a893)),x86513),f317(f317(f8(f904(x86512,a893),f904(x86512,a893),x86511),f317(f299(x86512),x86514)),x86515)),f317(f317(f299(x86512),x86514),f317(f317(f35(x86511,f904(x86512,a893)),x86513),x86515)))+~P1(f317(f317(f319(x86511),x86516),x86513))
% 92.29/92.10 [8652]E(f317(f317(f36(x86521,f904(x86522,a893)),x86523),f317(f317(f8(f904(x86522,a893),f904(x86522,a893),x86521),f317(f299(x86522),x86524)),x86525)),f317(f317(f299(x86522),x86524),f317(f317(f36(x86521,f904(x86522,a893)),x86523),x86525)))+~P1(f317(f317(f319(x86521),x86526),x86523))
% 92.29/92.10 [9100]~P5(x91002)+E(f317(f317(f35(x91001,x91002),x91003),f317(f317(f8(f904(x91004,x91002),x91002,x91001),f317(f35(x91004,x91002),x91005)),f317(f7(x91004,x91001,x91002),x91006))),f317(f317(f35(x91004,x91002),x91005),f317(f317(f8(f904(x91001,x91002),x91002,x91004),f317(f35(x91001,x91002),x91003)),x91006)))
% 92.29/92.10 [9101]~P5(x91012)+E(f317(f317(f36(x91011,x91012),x91013),f317(f317(f8(f904(x91014,x91012),x91012,x91011),f317(f36(x91014,x91012),x91015)),f317(f7(x91014,x91011,x91012),x91016))),f317(f317(f36(x91014,x91012),x91015),f317(f317(f8(f904(x91011,x91012),x91012,x91014),f317(f36(x91011,x91012),x91013)),x91016)))
% 92.29/92.10 [9306]P1(f317(f317(f319(x93061),x93062),f317(f162(x93061),x93063)))+~P1(f317(f317(f319(f903(x93064,x93061)),f317(f317(f242(x93064,x93061),x93065),x93062)),f317(f162(f903(x93064,x93061)),f317(f317(f171(x93064,x93061),x93066),x93063))))
% 92.29/92.10 [9307]P1(f317(f317(f319(x93071),x93072),f317(f162(x93071),x93073)))+~P1(f317(f317(f319(f903(x93071,x93074)),f317(f317(f242(x93071,x93074),x93072),x93075)),f317(f162(f903(x93071,x93074)),f317(f317(f171(x93071,x93074),x93073),x93076))))
% 92.29/92.10 [9308]P1(f317(f317(f319(x93081),x93082),f317(f162(x93081),x93083)))+~P1(f317(f317(f319(f903(x93084,x93081)),f317(f317(f242(x93084,x93081),x93085),x93082)),f317(f162(f903(x93084,x93081)),f317(f317(f171(x93084,x93081),x93086),x93083))))
% 92.29/92.10 [9309]P1(f317(f317(f319(x93091),x93092),f317(f162(x93091),x93093)))+~P1(f317(f317(f319(f903(x93091,x93094)),f317(f317(f242(x93091,x93094),x93092),x93095)),f317(f162(f903(x93091,x93094)),f317(f317(f171(x93091,x93094),x93093),x93096))))
% 92.29/92.10 [9420]P1(f317(f317(f224(f904(x94201,a893)),f317(f275(x94202,x94201,x94203),x94204)),x94205))+~P1(f317(f317(f224(f904(f903(x94202,x94201),a893)),x94203),f317(f317(f244(x94202,x94201),x94206),f317(f16(f904(x94201,a893),x94202),x94205))))
% 92.29/92.10 [9425]~P25(x94254,x94252,x94255,f232(f904(x94254,a893)),f232(f904(x94252,a893)))+E(f317(f317(f36(x94251,f904(x94252,a893)),x94253),f317(f317(f8(f904(x94254,a893),f904(x94252,a893),x94251),f300(x94254,x94252,x94255)),x94256)),f317(f300(x94254,x94252,x94255),f317(f317(f36(x94251,f904(x94254,a893)),x94253),x94256)))
% 92.29/92.10 [9623]P1(f317(f317(f319(f903(f898(x96231),f898(x96231))),f317(f317(f242(f898(x96231),f898(x96231)),f317(f317(f141(x96231),x96232),x96233)),f317(f317(f141(x96231),x96234),x96235))),f137(x96231,x96236)))+~P1(f317(f317(f319(f903(x96231,x96231)),f317(f317(f242(x96231,x96231),x96232),x96234)),x96236))
% 92.29/92.10 [10076]E(f317(f317(f242(x100761,x100762),f559(x100763,x100764,x100765,x100762,x100761,x100766)),f561(x100763,x100764,x100765,x100762,x100761,x100766)),x100766)+P1(f317(f317(f319(x100765),x100764),f317(f317(f247(x100761,x100762,f904(x100765,a893)),x100763),x100766)))
% 92.29/92.10 [10082]E(f317(f317(f242(x100821,x100822),f557(x100823,x100824,x100822,x100821,x100825,x100826)),f560(x100823,x100824,x100822,x100821,x100825,x100826)),x100823)+~P1(f317(f317(f319(x100826),x100825),f317(f317(f247(x100821,x100822,f904(x100826,a893)),x100824),x100823)))
% 92.29/92.10 [10245]P1(f317(f317(f319(x102451),x102452),f317(f317(x102453,f557(x102454,x102453,x102455,x102456,x102452,x102451)),f560(x102454,x102453,x102455,x102456,x102452,x102451))))+~P1(f317(f317(f319(x102451),x102452),f317(f317(f247(x102456,x102455,f904(x102451,a893)),x102453),x102454)))
% 92.29/92.10 [10274]~P1(f317(f317(f319(x102741),x102742),f317(f317(x102745,f559(x102745,x102742,x102741,x102744,x102743,x102746)),f561(x102745,x102742,x102741,x102744,x102743,x102746))))+P1(f317(f317(f319(x102741),x102742),f317(f317(f247(x102743,x102744,f904(x102741,a893)),x102745),x102746)))
% 92.29/92.10 [8552]E(x85521,x85522)+E(f317(f317(f149(x85523,f317(f317(f149(x85523,x85524),x85521),x85525)),x85522),x85526),f317(f317(f149(x85523,f317(f317(f149(x85523,x85524),x85522),x85526)),x85521),x85525))
% 92.29/92.10 [9683]~P1(f317(f317(f319(x96833),x96836),x96835))+E(f317(f317(f299(x96831),x96832),f317(f300(x96833,x96831,x96834),f317(f317(f23(f904(x96833,a893)),x96835),f317(f317(f299(x96833),x96836),f178(f904(x96833,a893)))))),f317(f300(x96833,x96831,f69(x96833,x96831,x96834,x96836,x96832)),x96835))
% 92.29/92.10 [9180]~P1(f317(f317(x91804,x91805),x91806))+P1(f317(f317(f317(f317(f91(f904(x91801,f904(x91802,a893))),x91803),x91804),x91805),x91806))
% 92.29/92.10 [9181]~P1(f317(f317(x91814,x91815),x91816))+P1(f317(f317(f317(f317(f91(f904(x91811,f904(x91812,a893))),x91813),x91814),x91815),x91816))
% 92.29/92.10 [9182]~P1(f317(f317(x91823,x91825),x91826))+P1(f317(f317(f317(f317(f91(f904(x91821,f904(x91822,a893))),x91823),x91824),x91825),x91826))
% 92.29/92.10 [9183]~P1(f317(f317(x91833,x91835),x91836))+P1(f317(f317(f317(f317(f91(f904(x91831,f904(x91832,a893))),x91833),x91834),x91835),x91836))
% 92.29/92.10 [9473]P1(f317(f317(x94731,x94732),x94733))+~P1(f317(f317(f317(f317(f92(f904(x94734,f904(x94735,a893))),x94736),x94731),x94732),x94733))
% 92.29/92.10 [9474]P1(f317(f317(x94741,x94742),x94743))+~P1(f317(f317(f317(f317(f92(f904(x94744,f904(x94745,a893))),x94741),x94746),x94742),x94743))
% 92.29/92.10 [9475]P1(f317(f317(x94751,x94752),x94753))+~P1(f317(f317(f317(f317(f92(f904(x94754,f904(x94755,a893))),x94756),x94751),x94752),x94753))
% 92.29/92.10 [9476]P1(f317(f317(x94761,x94762),x94763))+~P1(f317(f317(f317(f317(f92(f904(x94764,f904(x94765,a893))),x94761),x94766),x94762),x94763))
% 92.29/92.10 [9916]~P76(x99162)+E(f317(f317(f9(x99161,x99162),f317(f317(f7(x99161,f904(x99163,a893),x99162),f317(f317(f8(f904(x99163,x99162),f904(f904(x99163,a893),x99162),x99161),f9(x99163,x99162)),x99164)),x99165)),x99166),f317(f317(f9(f903(x99161,x99163),x99162),f317(f247(x99161,x99163,x99162),x99164)),f317(f317(f244(x99161,x99163),x99166),f317(f16(f904(x99163,a893),x99161),x99165))))
% 92.29/92.10 [9917]~P77(x99172)+E(f317(f317(f6(x99171,x99172),f317(f317(f7(x99171,f904(x99173,a893),x99172),f317(f317(f8(f904(x99173,x99172),f904(f904(x99173,a893),x99172),x99171),f6(x99173,x99172)),x99174)),x99175)),x99176),f317(f317(f6(f903(x99171,x99173),x99172),f317(f247(x99171,x99173,x99172),x99174)),f317(f317(f244(x99171,x99173),x99176),f317(f16(f904(x99173,a893),x99171),x99175))))
% 92.29/92.10 [10048]~P77(x100482)+E(f317(f317(f6(x100481,x100482),f317(f317(f7(x100481,f904(x100483,a893),x100482),f317(f317(f8(f904(x100483,x100482),f904(f904(x100483,a893),x100482),x100481),f6(x100483,x100482)),f317(f7(x100483,x100481,x100482),x100484))),x100485)),x100486),f317(f317(f6(x100483,x100482),f317(f317(f7(x100483,f904(x100481,a893),x100482),f317(f317(f8(f904(x100481,x100482),f904(f904(x100481,a893),x100482),x100483),f6(x100481,x100482)),x100484)),x100486)),x100485))
% 92.29/92.10 [10365]~P1(f317(f317(f319(f903(x103651,x103652)),f317(f317(f242(x103651,x103652),x103655),x103656)),f317(f317(f91(f904(f903(x103651,x103652),a893)),x103653),x103654)))+P1(f317(f317(f317(f317(f91(f904(x103651,f904(x103652,a893))),f317(f317(f7(x103651,f904(f903(x103651,x103652),a893),f904(x103652,a893)),f317(f317(f8(f904(x103652,f904(f904(f903(x103651,x103652),a893),a893)),f904(f904(f903(x103651,x103652),a893),f904(x103652,a893)),x103651),f7(x103652,f904(f903(x103651,x103652),a893),a893)),f317(f317(f8(f904(x103652,f903(x103651,x103652)),f904(x103652,f904(f904(f903(x103651,x103652),a893),a893)),x103651),f317(f8(f903(x103651,x103652),f904(f904(f903(x103651,x103652),a893),a893),x103652),f319(f903(x103651,x103652)))),f242(x103651,x103652)))),x103653)),f317(f317(f7(x103651,f904(f903(x103651,x103652),a893),f904(x103652,a893)),f317(f317(f8(f904(x103652,f904(f904(f903(x103651,x103652),a893),a893)),f904(f904(f903(x103651,x103652),a893),f904(x103652,a893)),x103651),f7(x103652,f904(f903(x103651,x103652),a893),a893)),f317(f317(f8(f904(x103652,f903(x103651,x103652)),f904(x103652,f904(f904(f903(x103651,x103652),a893),a893)),x103651),f317(f8(f903(x103651,x103652),f904(f904(f903(x103651,x103652),a893),a893),x103652),f319(f903(x103651,x103652)))),f242(x103651,x103652)))),x103654)),x103655),x103656))
% 92.29/92.10 [10366]~P1(f317(f317(f319(f903(x103661,x103662)),f317(f317(f242(x103661,x103662),x103665),x103666)),f317(f317(f92(f904(f903(x103661,x103662),a893)),x103663),x103664)))+P1(f317(f317(f317(f317(f92(f904(x103661,f904(x103662,a893))),f317(f317(f7(x103661,f904(f903(x103661,x103662),a893),f904(x103662,a893)),f317(f317(f8(f904(x103662,f904(f904(f903(x103661,x103662),a893),a893)),f904(f904(f903(x103661,x103662),a893),f904(x103662,a893)),x103661),f7(x103662,f904(f903(x103661,x103662),a893),a893)),f317(f317(f8(f904(x103662,f903(x103661,x103662)),f904(x103662,f904(f904(f903(x103661,x103662),a893),a893)),x103661),f317(f8(f903(x103661,x103662),f904(f904(f903(x103661,x103662),a893),a893),x103662),f319(f903(x103661,x103662)))),f242(x103661,x103662)))),x103663)),f317(f317(f7(x103661,f904(f903(x103661,x103662),a893),f904(x103662,a893)),f317(f317(f8(f904(x103662,f904(f904(f903(x103661,x103662),a893),a893)),f904(f904(f903(x103661,x103662),a893),f904(x103662,a893)),x103661),f7(x103662,f904(f903(x103661,x103662),a893),a893)),f317(f317(f8(f904(x103662,f903(x103661,x103662)),f904(x103662,f904(f904(f903(x103661,x103662),a893),a893)),x103661),f317(f8(f903(x103661,x103662),f904(f904(f903(x103661,x103662),a893),a893),x103662),f319(f903(x103661,x103662)))),f242(x103661,x103662)))),x103664)),x103665),x103666))
% 92.29/92.10 [10375]P1(f317(f317(f319(f903(x103751,x103752)),f317(f317(f242(x103751,x103752),x103753),x103754)),f317(f317(f91(f904(f903(x103751,x103752),a893)),x103755),x103756)))+~P1(f317(f317(f317(f317(f91(f904(x103751,f904(x103752,a893))),f317(f317(f7(x103751,f904(f903(x103751,x103752),a893),f904(x103752,a893)),f317(f317(f8(f904(x103752,f904(f904(f903(x103751,x103752),a893),a893)),f904(f904(f903(x103751,x103752),a893),f904(x103752,a893)),x103751),f7(x103752,f904(f903(x103751,x103752),a893),a893)),f317(f317(f8(f904(x103752,f903(x103751,x103752)),f904(x103752,f904(f904(f903(x103751,x103752),a893),a893)),x103751),f317(f8(f903(x103751,x103752),f904(f904(f903(x103751,x103752),a893),a893),x103752),f319(f903(x103751,x103752)))),f242(x103751,x103752)))),x103755)),f317(f317(f7(x103751,f904(f903(x103751,x103752),a893),f904(x103752,a893)),f317(f317(f8(f904(x103752,f904(f904(f903(x103751,x103752),a893),a893)),f904(f904(f903(x103751,x103752),a893),f904(x103752,a893)),x103751),f7(x103752,f904(f903(x103751,x103752),a893),a893)),f317(f317(f8(f904(x103752,f903(x103751,x103752)),f904(x103752,f904(f904(f903(x103751,x103752),a893),a893)),x103751),f317(f8(f903(x103751,x103752),f904(f904(f903(x103751,x103752),a893),a893),x103752),f319(f903(x103751,x103752)))),f242(x103751,x103752)))),x103756)),x103753),x103754))
% 92.29/92.10 [10376]P1(f317(f317(f319(f903(x103761,x103762)),f317(f317(f242(x103761,x103762),x103763),x103764)),f317(f317(f92(f904(f903(x103761,x103762),a893)),x103765),x103766)))+~P1(f317(f317(f317(f317(f92(f904(x103761,f904(x103762,a893))),f317(f317(f7(x103761,f904(f903(x103761,x103762),a893),f904(x103762,a893)),f317(f317(f8(f904(x103762,f904(f904(f903(x103761,x103762),a893),a893)),f904(f904(f903(x103761,x103762),a893),f904(x103762,a893)),x103761),f7(x103762,f904(f903(x103761,x103762),a893),a893)),f317(f317(f8(f904(x103762,f903(x103761,x103762)),f904(x103762,f904(f904(f903(x103761,x103762),a893),a893)),x103761),f317(f8(f903(x103761,x103762),f904(f904(f903(x103761,x103762),a893),a893),x103762),f319(f903(x103761,x103762)))),f242(x103761,x103762)))),x103765)),f317(f317(f7(x103761,f904(f903(x103761,x103762),a893),f904(x103762,a893)),f317(f317(f8(f904(x103762,f904(f904(f903(x103761,x103762),a893),a893)),f904(f904(f903(x103761,x103762),a893),f904(x103762,a893)),x103761),f7(x103762,f904(f903(x103761,x103762),a893),a893)),f317(f317(f8(f904(x103762,f903(x103761,x103762)),f904(x103762,f904(f904(f903(x103761,x103762),a893),a893)),x103761),f317(f8(f903(x103761,x103762),f904(f904(f903(x103761,x103762),a893),a893),x103762),f319(f903(x103761,x103762)))),f242(x103761,x103762)))),x103766)),x103763),x103764))
% 92.29/92.10 [10359]~P1(f317(f317(f319(f903(x103592,x103593)),f317(f317(f242(x103592,x103593),x103595),x103596)),f317(f317(f35(x103591,f904(f903(x103592,x103593),a893)),f232(f904(x103591,a893))),x103594)))+P1(f317(f317(f317(f317(f35(x103591,f904(x103592,f904(x103593,a893))),f232(f904(x103591,a893))),f317(f317(f8(f904(f903(x103592,x103593),a893),f904(x103592,f904(x103593,a893)),x103591),f317(f7(x103592,f904(f903(x103592,x103593),a893),f904(x103593,a893)),f317(f317(f8(f904(x103593,f904(f904(f903(x103592,x103593),a893),a893)),f904(f904(f903(x103592,x103593),a893),f904(x103593,a893)),x103592),f7(x103593,f904(f903(x103592,x103593),a893),a893)),f317(f317(f8(f904(x103593,f903(x103592,x103593)),f904(x103593,f904(f904(f903(x103592,x103593),a893),a893)),x103592),f317(f8(f903(x103592,x103593),f904(f904(f903(x103592,x103593),a893),a893),x103593),f319(f903(x103592,x103593)))),f242(x103592,x103593))))),x103594)),x103595),x103596))
% 92.29/92.10 [10360]~P1(f317(f317(f319(f903(x103602,x103603)),f317(f317(f242(x103602,x103603),x103605),x103606)),f317(f317(f36(x103601,f904(f903(x103602,x103603),a893)),f232(f904(x103601,a893))),x103604)))+P1(f317(f317(f317(f317(f36(x103601,f904(x103602,f904(x103603,a893))),f232(f904(x103601,a893))),f317(f317(f8(f904(f903(x103602,x103603),a893),f904(x103602,f904(x103603,a893)),x103601),f317(f7(x103602,f904(f903(x103602,x103603),a893),f904(x103603,a893)),f317(f317(f8(f904(x103603,f904(f904(f903(x103602,x103603),a893),a893)),f904(f904(f903(x103602,x103603),a893),f904(x103603,a893)),x103602),f7(x103603,f904(f903(x103602,x103603),a893),a893)),f317(f317(f8(f904(x103603,f903(x103602,x103603)),f904(x103603,f904(f904(f903(x103602,x103603),a893),a893)),x103602),f317(f8(f903(x103602,x103603),f904(f904(f903(x103602,x103603),a893),a893),x103603),f319(f903(x103602,x103603)))),f242(x103602,x103603))))),x103604)),x103605),x103606))
% 92.29/92.10 [10369]P1(f317(f317(f319(f903(x103691,x103692)),f317(f317(f242(x103691,x103692),x103693),x103694)),f317(f317(f35(x103695,f904(f903(x103691,x103692),a893)),f232(f904(x103695,a893))),x103696)))+~P1(f317(f317(f317(f317(f35(x103695,f904(x103691,f904(x103692,a893))),f232(f904(x103695,a893))),f317(f317(f8(f904(f903(x103691,x103692),a893),f904(x103691,f904(x103692,a893)),x103695),f317(f7(x103691,f904(f903(x103691,x103692),a893),f904(x103692,a893)),f317(f317(f8(f904(x103692,f904(f904(f903(x103691,x103692),a893),a893)),f904(f904(f903(x103691,x103692),a893),f904(x103692,a893)),x103691),f7(x103692,f904(f903(x103691,x103692),a893),a893)),f317(f317(f8(f904(x103692,f903(x103691,x103692)),f904(x103692,f904(f904(f903(x103691,x103692),a893),a893)),x103691),f317(f8(f903(x103691,x103692),f904(f904(f903(x103691,x103692),a893),a893),x103692),f319(f903(x103691,x103692)))),f242(x103691,x103692))))),x103696)),x103693),x103694))
% 92.29/92.10 [10370]P1(f317(f317(f319(f903(x103701,x103702)),f317(f317(f242(x103701,x103702),x103703),x103704)),f317(f317(f36(x103705,f904(f903(x103701,x103702),a893)),f232(f904(x103705,a893))),x103706)))+~P1(f317(f317(f317(f317(f36(x103705,f904(x103701,f904(x103702,a893))),f232(f904(x103705,a893))),f317(f317(f8(f904(f903(x103701,x103702),a893),f904(x103701,f904(x103702,a893)),x103705),f317(f7(x103701,f904(f903(x103701,x103702),a893),f904(x103702,a893)),f317(f317(f8(f904(x103702,f904(f904(f903(x103701,x103702),a893),a893)),f904(f904(f903(x103701,x103702),a893),f904(x103702,a893)),x103701),f7(x103702,f904(f903(x103701,x103702),a893),a893)),f317(f317(f8(f904(x103702,f903(x103701,x103702)),f904(x103702,f904(f904(f903(x103701,x103702),a893),a893)),x103701),f317(f8(f903(x103701,x103702),f904(f904(f903(x103701,x103702),a893),a893),x103702),f319(f903(x103701,x103702)))),f242(x103701,x103702))))),x103706)),x103703),x103704))
% 92.29/92.10 [7554]E(f317(x75541,f317(x75542,x75543)),f317(x75544,x75543))+~E(f317(f67(x75545,x75546,x75547,x75541),x75542),x75544)
% 92.29/92.10 [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))
% 92.29/92.10 [9790]~P22(x97903,x97904,x97901,x97905,x97906,x97907)+E(f317(f317(x97901,x97902),x97902),x97902)
% 92.29/92.10 [6088]~E(f317(f317(f144(x60881,x60885),x60886),x60882),f317(f317(f144(x60883,x60885),x60887),x60884))+E(f317(f179(f898(x60881)),x60882),f317(f179(f898(x60883)),x60884))
% 92.29/92.10 [8583]E(f317(x85831,f317(x85832,x85833)),f317(x85834,x85833))+~E(f317(f67(x85835,x85836,x85837,x85831),x85832),f317(f67(x85836,x85836,x85837,f25(x85836)),x85834))
% 92.29/92.10 [8937]~P33(x89374,x89375,x89371,f317(f317(f141(x89374),x89372),x89376),f317(f317(f141(x89375),x89373),x89377))+P1(f317(f317(x89371,x89372),x89373))
% 92.29/92.10 [9315]P33(x93151,x93152,x93153,x93154,x93155)+~P33(x93151,x93152,x93153,f317(f317(f141(x93151),x93156),x93154),f317(f317(f141(x93152),x93157),x93155))
% 92.29/92.10 [9949]P1(f317(f317(x99491,x99492),f530(x99493,x99492,x99494,x99491)))+~P1(f317(f317(f243(x99495,x99496,x99497,x99491,x99494),x99492),x99493))
% 92.29/92.10 [9973]P1(f317(f317(x99731,f530(x99732,x99733,x99731,x99734)),x99732))+~P1(f317(f317(f243(x99735,x99736,x99737,x99734,x99731),x99733),x99732))
% 92.29/92.10 [9054]~P20(x90546,x90541,x90543,x90547)+E(f317(f67(x90541,x90541,x90542,f317(x90543,x90544)),f317(f67(x90541,x90541,x90542,f317(x90543,x90544)),x90545)),f317(f67(x90541,x90541,x90542,f317(x90543,x90544)),x90545))
% 92.29/92.10 [9428]~P33(x94283,x94282,x94284,f317(f317(f144(x94281,x94283),x94285),x94286),x94287)+P33(x94281,x94282,f317(f317(f8(x94283,f904(x94282,a893),x94281),x94284),x94285),x94286,x94287)
% 92.29/92.10 [9451]P33(x94511,x94512,x94513,f317(f317(f144(x94514,x94511),x94515),x94516),x94517)+~P33(x94514,x94512,f317(f317(f8(x94511,f904(x94512,a893),x94514),x94513),x94515),x94516,x94517)
% 92.29/92.10 [9053]~P1(f317(f317(f319(x90531),x90532),f317(f317(x90535,x90536),x90537)))+P1(f317(f317(f319(x90531),x90532),f317(f317(f247(x90533,x90534,f904(x90531,a893)),x90535),f317(f317(f242(x90533,x90534),x90536),x90537))))
% 92.29/92.10 [9341]P1(f317(f317(f317(x93411,x93412),x93413),x93414))+~P1(f317(f317(f317(f247(x93415,x93416,f904(x93417,a893)),x93411),f317(f317(f242(x93415,x93416),x93412),x93413)),x93414))
% 92.29/92.10 [9490]P1(f317(f317(f319(x94901),f317(f317(x94902,x94903),x94904)),f317(f300(f903(x94905,x94906),x94901,f317(f247(x94905,x94906,x94901),x94902)),x94907)))+~P1(f317(f317(f319(f903(x94905,x94906)),f317(f317(f242(x94905,x94906),x94903),x94904)),x94907))
% 92.29/92.10 [9837]P1(f317(f317(f319(f903(f898(x98371),f898(x98371))),f317(f317(f242(f898(x98371),f898(x98371)),f317(f317(f124(x98371),x98372),f317(f317(f141(x98371),x98373),x98374))),f317(f317(f124(x98371),x98372),f317(f317(f141(x98371),x98375),x98376)))),f137(x98371,x98377)))+~P1(f317(f317(f319(f903(x98371,x98371)),f317(f317(f242(x98371,x98371),x98373),x98375)),x98377))
% 92.29/92.10 [9901]~P33(x99011,x99013,x99014,x99016,f317(f317(f144(x99012,x99013),x99015),x99017))+P33(x99011,x99012,f317(f317(f7(x99011,f904(x99012,x99013),f904(x99012,a893)),f317(f317(f8(f904(x99013,a893),f904(f904(x99012,x99013),f904(x99012,a893)),x99011),f8(x99013,a893,x99012)),x99014)),x99015),x99016,x99017)
% 92.29/92.10 [9977]P33(x99771,x99772,x99773,x99774,f317(f317(f144(x99775,x99772),x99776),x99777))+~P33(x99771,x99775,f317(f317(f7(x99771,f904(x99775,x99772),f904(x99775,a893)),f317(f317(f8(f904(x99772,a893),f904(f904(x99775,x99772),f904(x99775,a893)),x99771),f8(x99772,a893,x99775)),x99773)),x99776),x99774,x99777)
% 92.29/92.10 [10288]P1(f317(f317(f319(x102881),f474(x102882,x102883,x102884,x102885,x102886,x102887,x102881)),x102885))+P1(f317(f317(f317(f317(f36(x102881,f904(x102887,f904(x102886,a893))),x102885),x102884),x102883),x102882))
% 92.29/92.10 [10289]P1(f317(f317(f319(x102891),f763(x102892,x102893,x102894,x102895,x102896,x102897,x102891)),x102897))+P1(f317(f317(f317(f317(f36(x102891,f904(x102893,f904(x102892,a893))),x102897),x102896),x102895),x102894))
% 92.29/92.10 [10290]P1(f317(f317(f319(x102901),f357(x102902,x102903,x102904,x102905,x102906,x102907,x102901)),x102905))+~P1(f317(f317(f317(f317(f35(x102901,f904(x102907,f904(x102906,a893))),x102905),x102904),x102903),x102902))
% 92.29/92.10 [10291]P1(f317(f317(f319(x102911),f764(x102912,x102913,x102914,x102915,x102916,x102917,x102911)),x102915))+~P1(f317(f317(f317(f317(f35(x102911,f904(x102917,f904(x102916,a893))),x102915),x102914),x102913),x102912))
% 92.29/92.10 [10324]P1(f317(f317(f317(x103241,f357(x103242,x103243,x103241,x103244,x103245,x103246,x103247)),x103243),x103242))+~P1(f317(f317(f317(f317(f35(x103247,f904(x103246,f904(x103245,a893))),x103244),x103241),x103243),x103242))
% 92.29/92.10 [10325]P1(f317(f317(f317(x103251,f764(x103252,x103253,x103251,x103254,x103255,x103256,x103257)),x103253),x103252))+~P1(f317(f317(f317(f317(f35(x103257,f904(x103256,f904(x103255,a893))),x103254),x103251),x103253),x103252))
% 92.29/92.10 [10340]~P1(f317(f317(f317(x103405,f474(x103407,x103406,x103405,x103404,x103403,x103402,x103401)),x103406),x103407))+P1(f317(f317(f317(f317(f36(x103401,f904(x103402,f904(x103403,a893))),x103404),x103405),x103406),x103407))
% 92.29/92.10 [10341]~P1(f317(f317(f317(x103415,f763(x103413,x103412,x103417,x103416,x103415,x103414,x103411)),x103416),x103417))+P1(f317(f317(f317(f317(f36(x103411,f904(x103412,f904(x103413,a893))),x103414),x103415),x103416),x103417))
% 92.29/92.10 [10358]~P1(f317(f317(f319(f903(x103581,x103583)),f317(f317(f242(x103581,x103583),x103586),x103587)),f317(f317(f279(x103581,x103582,x103583),x103584),x103585)))+P1(f317(f317(f243(x103581,x103582,x103583,f317(f317(f7(x103581,f904(f903(x103581,x103582),a893),f904(x103582,a893)),f317(f317(f8(f904(x103582,f904(f904(f903(x103581,x103582),a893),a893)),f904(f904(f903(x103581,x103582),a893),f904(x103582,a893)),x103581),f7(x103582,f904(f903(x103581,x103582),a893),a893)),f317(f317(f8(f904(x103582,f903(x103581,x103582)),f904(x103582,f904(f904(f903(x103581,x103582),a893),a893)),x103581),f317(f8(f903(x103581,x103582),f904(f904(f903(x103581,x103582),a893),a893),x103582),f319(f903(x103581,x103582)))),f242(x103581,x103582)))),x103584),f317(f317(f7(x103582,f904(f903(x103582,x103583),a893),f904(x103583,a893)),f317(f317(f8(f904(x103583,f904(f904(f903(x103582,x103583),a893),a893)),f904(f904(f903(x103582,x103583),a893),f904(x103583,a893)),x103582),f7(x103583,f904(f903(x103582,x103583),a893),a893)),f317(f317(f8(f904(x103583,f903(x103582,x103583)),f904(x103583,f904(f904(f903(x103582,x103583),a893),a893)),x103582),f317(f8(f903(x103582,x103583),f904(f904(f903(x103582,x103583),a893),a893),x103583),f319(f903(x103582,x103583)))),f242(x103582,x103583)))),x103585)),x103586),x103587))
% 92.29/92.10 [10368]P1(f317(f317(f319(f903(x103681,x103682)),f317(f317(f242(x103681,x103682),x103683),x103684)),f317(f317(f279(x103681,x103685,x103682),x103686),x103687)))+~P1(f317(f317(f243(x103681,x103685,x103682,f317(f317(f7(x103681,f904(f903(x103681,x103685),a893),f904(x103685,a893)),f317(f317(f8(f904(x103685,f904(f904(f903(x103681,x103685),a893),a893)),f904(f904(f903(x103681,x103685),a893),f904(x103685,a893)),x103681),f7(x103685,f904(f903(x103681,x103685),a893),a893)),f317(f317(f8(f904(x103685,f903(x103681,x103685)),f904(x103685,f904(f904(f903(x103681,x103685),a893),a893)),x103681),f317(f8(f903(x103681,x103685),f904(f904(f903(x103681,x103685),a893),a893),x103685),f319(f903(x103681,x103685)))),f242(x103681,x103685)))),x103686),f317(f317(f7(x103685,f904(f903(x103685,x103682),a893),f904(x103682,a893)),f317(f317(f8(f904(x103682,f904(f904(f903(x103685,x103682),a893),a893)),f904(f904(f903(x103685,x103682),a893),f904(x103682,a893)),x103685),f7(x103682,f904(f903(x103685,x103682),a893),a893)),f317(f317(f8(f904(x103682,f903(x103685,x103682)),f904(x103682,f904(f904(f903(x103685,x103682),a893),a893)),x103685),f317(f8(f903(x103685,x103682),f904(f904(f903(x103685,x103682),a893),a893),x103682),f319(f903(x103685,x103682)))),f242(x103685,x103682)))),x103687)),x103683),x103684))
% 92.29/92.10 [10300]~P145(x103002)+E(f317(f317(f6(x103001,x103002),f317(f317(f7(x103001,f904(x103003,a893),x103002),f317(f317(f8(f904(x103003,x103002),f904(f904(x103003,a893),x103002),x103001),f6(x103003,x103002)),f317(f317(f7(x103001,f904(x103003,x103002),f904(x103003,x103002)),f317(f317(f8(f904(x103002,x103002),f904(f904(x103003,x103002),f904(x103003,x103002)),x103001),f8(x103002,x103002,x103003)),f317(f317(f8(x103002,f904(x103002,x103002),x103001),f75(x103002)),x103004))),x103005))),x103006)),x103007),f317(f317(f75(x103002),f317(f317(f6(x103001,x103002),x103004),x103007)),f317(f317(f6(x103003,x103002),x103005),x103006)))
% 92.29/92.10 [9375]~P19(x93757,x93751,x93753,x93758)+E(f317(f67(x93751,x93751,x93752,f317(x93753,x93754)),f317(f67(x93751,x93751,x93752,f317(x93753,x93755)),x93756)),f317(f67(x93751,x93751,x93752,f317(x93753,x93755)),f317(f67(x93751,x93751,x93752,f317(x93753,x93754)),x93756)))
% 92.29/92.10 [10363]E(f317(f317(f242(x103631,x103632),f317(x103633,f508(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),f317(x103635,f509(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),x103638)+~P1(f317(f317(f319(f903(x103631,x103632)),x103638),f317(f300(f903(x103637,x103636),f903(x103631,x103632),f248(x103637,x103631,x103636,x103632,x103633,x103635)),x103634)))
% 92.29/92.10 [10381]~P1(f317(f317(f319(f903(x103818,x103817)),x103816),f317(f300(f903(x103811,x103812),f903(x103818,x103817),f248(x103811,x103818,x103812,x103817,x103815,x103814)),x103813)))+P1(f317(f317(f319(f903(x103811,x103812)),f317(f317(f242(x103811,x103812),f508(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818)),f509(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818))),x103813))
% 92.29/92.10 [9827]P1(f317(f317(f319(f903(f903(x98271,x98272),f903(x98271,x98272))),f317(f317(f242(f903(x98271,x98272),f903(x98271,x98272)),f317(f317(f242(x98271,x98272),x98273),x98274)),f317(f317(f242(x98271,x98272),x98275),x98276))),f310(x98271,x98272,x98277,x98278)))+~P1(f317(f317(f319(f903(x98271,x98271)),f317(f317(f242(x98271,x98271),x98273),x98275)),x98277))
% 92.29/92.10 [10352]E(f317(f132(x103521,x103522,f317(f7(x103522,x103521,x103521),x103523),f317(x103524,x103525)),x103526),f317(x103524,f317(f132(x103527,x103522,f317(f7(x103522,x103527,x103527),x103528),x103525),x103526)))+P1(f317(f317(f319(x103522),f710(x103525,x103528,x103524,x103523,x103527,x103521,x103526,x103522)),f317(f162(x103522),x103526)))
% 92.29/92.10 [10371]~E(f317(f67(x103711,x103711,x103717,f317(x103713,f710(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))),x103714),f317(f67(x103717,x103711,x103717,x103714),f317(x103718,f710(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))))+E(f317(f132(x103711,x103712,f317(f7(x103712,x103711,x103711),x103713),f317(x103714,x103715)),x103716),f317(x103714,f317(f132(x103717,x103712,f317(f7(x103712,x103717,x103717),x103718),x103715),x103716)))
% 92.29/92.10 [8587]E(f317(x85871,f317(x85872,x85873)),f317(x85874,f317(x85875,x85873)))+~E(f317(f67(x85876,x85877,x85878,x85871),x85872),f317(f67(x85879,x85877,x85878,x85874),x85875))
% 92.29/92.10 [8588]E(f317(x85881,f317(x85882,x85883)),f317(x85884,f317(x85885,x85883)))+~E(f317(f67(x85886,x85887,x85888,x85881),x85882),f317(f67(x85889,x85887,x85888,x85884),x85885))
% 92.29/92.10 [10209]P1(f317(f317(f319(f903(x102091,x102092)),f317(f317(f242(x102091,x102092),f317(x102093,x102094)),f317(x102095,x102096))),f317(f300(f903(x102097,x102098),f903(x102091,x102092),f248(x102097,x102091,x102098,x102092,x102093,x102095)),x102099)))+~P1(f317(f317(f319(f903(x102097,x102098)),f317(f317(f242(x102097,x102098),x102094),x102096)),x102099))
% 92.29/92.10 [8883]~E(f317(x88834,f317(x88835,x88836)),f317(x88839,f317(x888310,x888311)))+E(f317(f317(f67(x88831,x88832,x88833,x88834),x88835),x88836),f317(f317(f67(x88837,x88832,x88838,x88839),x888310),x888311))
% 92.29/92.10 [9461]~P19(x94618,x94619,x946110,x946111)+E(f317(f67(x94611,x94612,x94613,x94614),f317(f67(x94615,x94611,x94613,x94616),x94617)),f317(f67(x94615,x94612,x94613,f317(f67(x94611,x94612,x94615,x94614),x94616)),x94617))
% 92.29/92.10 [4647]~P107(x46471)+~P98(x46471)+E(f223(x46471),f91(x46471))
% 92.29/92.10 [4648]~P107(x46481)+~P104(x46481)+E(f228(x46481),f92(x46481))
% 92.29/92.10 [4893]~P126(x48931)+~P94(x48931)+E(f317(f70(x48931),f317(f94(x48931),a87)),f72(x48931))
% 92.29/92.10 [5186]E(x51861,f2(a1))+E(f76(a1,x51861),f317(f73(a1),f72(a1)))+P1(f317(f317(f225(a1),f2(a1)),x51861))
% 92.29/92.10 [5391]E(x53911,f2(a1))+E(f76(a1,x53911),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x53911))
% 92.29/92.10 [6739]~P39(x67391)+~P1(f317(f29(a1),x67391))+P1(f317(f29(a897),f317(f300(a1,a897,a95),x67391)))
% 92.29/92.10 [7110]E(f43(f72(a1),f317(f94(a1),x71101)),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x71101)))+~P1(f317(f317(f225(a1),f72(a1)),f317(f94(a1),x71101)))
% 92.29/92.10 [7453]~P39(x74531)+P1(f317(f29(a1),x74531))+~P1(f317(f29(a897),f317(f300(a1,a897,a95),x74531)))
% 92.29/92.10 [8292]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),f72(a1)),f317(f94(a1),x82921))),f46(f72(a1),f317(f94(a1),x82921)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x82921)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),f317(f94(a1),x82921))))
% 92.29/92.10 [10099]E(f317(f39(f317(f94(a1),x100991)),f43(f72(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),x100991)))),f43(f72(a1),f317(f94(a1),x100991)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x100991)))+P1(f317(f317(f225(a1),f72(a1)),f317(f94(a1),x100991)))
% 92.29/92.10 [10105]E(f317(f39(f317(f94(a1),x101051)),f46(f72(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),x101051)))),f46(f72(a1),f317(f94(a1),x101051)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x101051)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),f317(f94(a1),x101051))))
% 92.29/92.10 [9789]E(x97891,f178(f904(f903(a897,a897),a893)))+~P1(f317(f29(f903(a897,a897)),x97891))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f178(f904(f903(a897,a897),a893))),x97891)),a28))
% 92.29/92.10 [9950]E(x99501,f2(a897))+E(x99501,f317(a102,f2(a897)))+~P1(f317(f317(f225(a897),x99501),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.10 [10238]E(x102381,f2(a89))+E(f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a22,f317(f317(f31(a89),x102381),f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f72(a1)),f317(a22,x102381))+E(f41(a89,x102381,f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89))
% 92.29/92.10 [10086]E(x100861,f2(a89))+~E(f41(a89,x100861,f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89))+E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a22,f317(f317(f31(a89),x100861),f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(a22,x100861))
% 92.29/92.10 [4728]~P57(x47281,x47282)+P43(x47281,x47282)+~P44(a893)
% 92.29/92.10 [4657]~P144(x46571)+P27(x46571,x46572)+~E(x46572,f2(x46571))
% 92.29/92.10 [4658]~P107(x46581)+P13(x46581,x46582)+~E(x46582,f103(x46581))
% 92.29/92.10 [4667]~P126(x46671)+~E(x46672,f2(x46671))+E(f76(x46671,x46672),f2(x46671))
% 92.29/92.10 [4668]~P90(x46681)+~E(x46682,f2(x46681))+E(f76(x46681,x46682),f2(x46681))
% 92.29/92.10 [4676]~P144(x46762)+~P27(x46762,x46761)+E(x46761,f2(x46762))
% 92.29/92.10 [4721]~P126(x47212)+~E(f76(x47212,x47211),f2(x47212))+E(x47211,f2(x47212))
% 92.29/92.10 [4735]~P2(x47352)+~P2(x47351)+P2(f904(x47351,x47352))
% 92.29/92.10 [4736]~P2(x47362)+~P2(x47361)+P2(f902(x47361,x47362))
% 92.29/92.10 [4737]~P2(x47372)+~P2(x47371)+P2(f903(x47371,x47372))
% 92.29/92.10 [4738]~P6(x47382)+~P6(x47381)+P6(f184(x47381,x47382))
% 92.29/92.10 [4739]~P60(x47392)+~P60(x47391)+P60(f904(x47391,x47392))
% 92.29/92.10 [4740]~P60(x47402)+~P60(x47401)+P60(f902(x47401,x47402))
% 92.29/92.10 [4741]~P60(x47412)+~P60(x47411)+P60(f903(x47411,x47412))
% 92.29/92.10 [4742]~P105(x47422)+~P105(x47421)+P105(f903(x47421,x47422))
% 92.29/92.10 [4865]~P107(x48651)+~P13(x48651,x48652)+P13(x48651,f142(x48651,x48652))
% 92.29/92.10 [5113]~P6(x51132)+~P6(x51131)+P6(f41(a1,x51131,x51132))
% 92.29/92.10 [4677]~P78(x46771)+~E(x46772,f2(x46771))+E(f317(f73(x46771),x46772),x46772)
% 92.29/92.10 [4678]~P78(x46781)+~E(x46782,f2(x46781))+E(f317(f73(x46781),x46782),x46782)
% 92.29/92.10 [4692]~P92(x46921)+~E(x46922,f2(a1))+E(f317(f93(x46921),x46922),f2(x46921))
% 92.29/92.10 [4693]~P140(x46931)+~E(x46932,f2(a1))+E(f317(f93(x46931),x46932),f2(x46931))
% 92.29/92.10 [4694]~P92(x46941)+~E(x46942,f2(a1))+E(f317(f93(x46941),x46942),f2(x46941))
% 92.29/92.10 [4718]~P75(x47181)+~E(f2(x47181),x47182)+E(f317(f73(x47181),x47182),f2(x47181))
% 92.29/92.10 [4719]~P75(x47191)+~E(x47192,f2(x47191))+E(f317(f73(x47191),x47192),f2(x47191))
% 92.29/92.10 [4720]~P85(x47201)+~E(x47202,f2(x47201))+E(f317(f70(x47201),x47202),f2(x47201))
% 92.29/92.10 [4743]~P78(x47432)+E(x47431,f2(x47432))+~E(f317(f73(x47432),x47431),x47431)
% 92.29/92.10 [4744]~P78(x47442)+E(x47441,f2(x47442))+~E(f317(f73(x47442),x47441),x47441)
% 92.29/92.10 [4746]E(x47461,f317(a95,x47462))+~E(x47461,f2(a897))+~E(x47462,f317(f90(a1),x47461))
% 92.29/92.10 [4747]E(f317(a95,x47471),x47472)+~E(x47472,f2(a897))+~E(x47471,f317(f90(a1),x47472))
% 92.29/92.10 [4750]~P92(x47502)+E(x47501,f2(a1))+~E(f317(f93(x47502),x47501),f2(x47502))
% 92.29/92.10 [4751]~P92(x47512)+E(x47511,f2(a1))+~E(f317(f93(x47512),x47511),f2(x47512))
% 92.29/92.10 [4755]~P75(x47552)+E(x47551,f2(x47552))+~E(f317(f73(x47552),x47551),f2(x47552))
% 92.29/92.10 [4756]~P85(x47562)+E(x47561,f2(x47562))+~E(f317(f70(x47562),x47561),f2(x47562))
% 92.29/92.10 [4757]~P75(x47571)+E(f2(x47571),x47572)+~E(f317(f73(x47571),x47572),f2(x47571))
% 92.29/92.10 [4940]~P107(x49401)+~P13(x49401,x49402)+P13(x49401,f317(f161(x49401),x49402))
% 92.29/92.10 [4967]~P1(x49672)+~P1(x49671)+P1(f317(f317(a315,x49671),x49672))
% 92.29/92.10 [5005]~E(f72(a897),f2(a897))+E(f317(f30(x50051),x50052),f2(a897))+~P1(f317(f29(x50051),x50052))
% 92.29/92.10 [5041]~P114(x50411)+~P145(x50411)+E(f317(f317(f234(x50411),f2(x50411)),f317(a102,x50412)),f2(x50411))
% 92.29/92.10 [5081]~P107(x50811)+P13(x50811,f129(x50811,x50812))+~P1(f317(f29(x50811),x50812))
% 92.29/92.10 [5082]~P107(x50821)+P13(x50821,f703(x50822,x50821))+~P1(f317(f29(x50821),x50822))
% 92.29/92.10 [5105]~P107(x51051)+E(f317(f162(x51051),f129(x51051,x51052)),x51052)+~P1(f317(f29(x51051),x51052))
% 92.29/92.10 [5106]~P107(x51061)+E(f317(f162(x51061),f703(x51062,x51061)),x51062)+~P1(f317(f29(x51061),x51062))
% 92.29/92.10 [5135]P1(x51351)+P1(x51352)+~P1(f317(f317(a316,x51352),x51351))
% 92.29/92.10 [5148]E(x51481,f178(f904(x51482,a893)))+~E(f317(f30(x51482),x51481),f2(a897))+~P1(f317(f29(x51482),x51481))
% 92.29/92.10 [5153]P1(x51531)+~P1(x51532)+~P1(f317(f317(a320,x51532),x51531))
% 92.29/92.10 [5204]~P74(x52041)+E(f317(f70(x52041),x52042),x52042)+P1(f317(f317(f225(x52041),x52042),f2(x52041)))
% 92.29/92.10 [5264]~P60(x52642)+~P1(f317(f52(x52642),x52641))+P1(f317(x52641,f704(x52641,x52642)))
% 92.29/92.10 [5265]~P60(x52652)+~P1(f317(f52(x52652),x52651))+P1(f317(x52651,f711(x52651,x52652)))
% 92.29/92.10 [5306]E(x53061,f103(x53062))+P1(f317(f127(x53062),f104(x53062,x53061)))+~P1(f317(f127(x53062),x53061))
% 92.29/92.10 [5311]~P107(x53111)+~P1(f317(f29(x53111),x53112))+P1(f317(f127(x53111),f129(x53111,x53112)))
% 92.29/92.10 [5312]~P107(x53121)+~P1(f317(f29(x53121),x53122))+P1(f317(f127(x53121),f703(x53122,x53121)))
% 92.29/92.10 [5317]~P140(x53171)+E(f317(f90(x53171),f317(a95,x53172)),f317(f93(x53171),x53172))+P1(f317(f317(f225(a1),x53172),f2(a1)))
% 92.29/92.10 [5338]P7(x53382,x53381)+E(f317(x53381,f433(x53381)),f317(x53381,f476(x53381)))+P1(f317(f317(x53381,f433(x53381)),f476(x53381)))
% 92.29/92.10 [5351]E(f317(f90(a1),f853(x53511,x53512)),x53511)+P1(f317(x53512,f317(a95,x53511)))+~P1(f317(x53512,f2(a897)))
% 92.29/92.10 [5364]~P60(x53641)+~P1(f317(x53642,f717(x53642,x53641)))+P1(f317(f53(x53641),x53642))
% 92.29/92.10 [5365]~P60(x53651)+~P1(f317(x53652,f727(x53652,x53651)))+P1(f317(f53(x53651),x53652))
% 92.29/92.10 [5401]~P126(x54011)+~E(f76(x54011,x54012),f317(f73(x54011),f72(x54011)))+P1(f317(f317(f225(x54011),x54012),f2(x54011)))
% 92.29/92.10 [5476]~E(x54762,f2(a1))+E(f205(x54761,x54762),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54762),f2(a1)))
% 92.29/92.10 [5477]~E(x54771,f2(a1))+E(f205(x54771,x54772),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54772),f2(a1)))
% 92.29/92.10 [5530]E(f317(f90(a1),f853(x55301,x55302)),x55301)+P1(f317(x55302,f317(a95,x55301)))+P1(f317(f317(f225(a1),x55301),f2(a1)))
% 92.29/92.10 [5597]~P126(x55971)+E(f76(x55971,x55972),f317(f73(x55971),f72(x55971)))+~P1(f317(f317(f225(x55971),x55972),f2(x55971)))
% 92.29/92.10 [5598]~P126(x55981)+E(f76(x55981,x55982),f317(f73(x55981),f72(x55981)))+~P1(f317(f317(f225(x55981),x55982),f2(x55981)))
% 92.29/92.10 [5599]~P85(x55991)+E(f317(f70(x55991),x55992),f317(f73(x55991),x55992))+~P1(f317(f317(f224(x55991),x55992),f2(x55991)))
% 92.29/92.10 [5600]~P85(x56001)+E(f317(f70(x56001),x56002),f317(f73(x56001),x56002))+~P1(f317(f317(f225(x56001),x56002),f2(x56001)))
% 92.29/92.10 [5601]~P74(x56011)+E(f317(f70(x56011),x56012),f317(f73(x56011),x56012))+~P1(f317(f317(f225(x56011),x56012),f2(x56011)))
% 92.29/92.10 [5701]~P1(f317(x57011,f853(x57012,x57011)))+P1(f317(x57011,f317(a95,x57012)))+~P1(f317(x57011,f2(a897)))
% 92.29/92.10 [5708]E(x57081,f2(a897))+E(f317(a102,f478(x57082,x57081)),x57081)+~P1(f317(f317(f225(a897),x57081),f317(a102,x57082)))
% 92.29/92.10 [5712]P7(x57121,x57122)+~E(f317(x57122,f433(x57122)),f317(x57122,f476(x57122)))+~P1(f317(f317(x57122,f433(x57122)),f476(x57122)))
% 92.29/92.10 [5730]~P107(x57301)+P13(x57301,x57302)+P1(f317(f317(f224(a897),f686(x57302,x57301)),f687(x57302,x57301)))
% 92.29/92.10 [5731]~P107(x57311)+P13(x57311,x57312)+P1(f317(f317(f224(a897),f694(x57312,x57311)),f698(x57312,x57311)))
% 92.29/92.10 [5817]~P85(x58171)+~E(x58172,f2(x58171))+P1(f317(f317(f224(x58171),f317(f70(x58171),x58172)),f2(x58171)))
% 92.29/92.10 [5914]~P1(f317(x59141,f853(x59142,x59141)))+P1(f317(x59141,f317(a95,x59142)))+P1(f317(f317(f225(a1),x59142),f2(a1)))
% 92.29/92.10 [5939]~P1(f317(x59391,f317(a95,x59392)))+P1(f317(x59391,f2(a897)))+~P1(f317(f317(f225(a1),x59392),f2(a1)))
% 92.29/92.10 [6293]~P126(x62931)+~P1(f317(f317(f225(x62931),x62932),f2(x62931)))+P1(f317(f317(f225(x62931),f76(x62931,x62932)),f2(x62931)))
% 92.29/92.10 [6413]~P126(x64131)+P1(f317(f317(f224(x64131),f317(f93(x64131),x64132)),f2(x64131)))+~P1(f317(f317(f224(a1),x64132),f2(a1)))
% 92.29/92.10 [6414]~P126(x64141)+P1(f317(f317(f225(x64141),f317(f93(x64141),x64142)),f2(x64141)))+~P1(f317(f317(f225(a1),x64142),f2(a1)))
% 92.29/92.10 [6423]~P85(x64232)+E(x64231,f2(x64232))+~P1(f317(f317(f224(x64232),f317(f70(x64232),x64231)),f2(x64232)))
% 92.29/92.10 [6501]~P140(x65011)+~P1(f317(f317(f319(x65011),x65012),f100(x65011)))+P1(f317(f317(f319(x65011),f317(f73(x65011),x65012)),f100(x65011)))
% 92.29/92.10 [6533]~P126(x65331)+~P1(f317(f317(f225(x65331),f76(x65331,x65332)),f2(x65331)))+P1(f317(f317(f225(x65331),x65332),f2(x65331)))
% 92.29/92.10 [6711]~P126(x67112)+~P1(f317(f317(f224(x67112),f317(f93(x67112),x67111)),f2(x67112)))+P1(f317(f317(f224(a1),x67111),f2(a1)))
% 92.29/92.10 [6712]~P126(x67122)+~P1(f317(f317(f225(x67122),f317(f93(x67122),x67121)),f2(x67122)))+P1(f317(f317(f225(a1),x67121),f2(a1)))
% 92.29/92.10 [7227]~P78(x72271)+~P1(f317(f317(f224(x72271),x72272),f2(x72271)))+P1(f317(f317(f224(x72271),f317(f317(f74(x72271),x72272),x72272)),f2(x72271)))
% 92.29/92.10 [7229]~P126(x72291)+~P1(f317(f317(f225(x72291),x72292),f2(x72291)))+P1(f317(f317(f225(x72291),f317(f317(f74(x72291),x72292),x72292)),f2(x72291)))
% 92.29/92.10 [7230]~P78(x72301)+~P1(f317(f317(f225(x72301),x72302),f2(x72301)))+P1(f317(f317(f225(x72301),f317(f317(f74(x72301),x72302),x72302)),f2(x72301)))
% 92.29/92.10 [7801]~P78(x78011)+~P1(f317(f317(f224(x78011),f317(f317(f74(x78011),x78012),x78012)),f2(x78011)))+P1(f317(f317(f224(x78011),x78012),f2(x78011)))
% 92.29/92.10 [7802]~P126(x78021)+~P1(f317(f317(f225(x78021),f317(f317(f74(x78021),x78022),x78022)),f2(x78021)))+P1(f317(f317(f225(x78021),x78022),f2(x78021)))
% 92.29/92.10 [7803]~P78(x78031)+~P1(f317(f317(f225(x78031),f317(f317(f74(x78031),x78032),x78032)),f2(x78031)))+P1(f317(f317(f225(x78031),x78032),f2(x78031)))
% 92.29/92.10 [4791]~E(x47912,f72(a897))+~E(x47911,f72(a897))+E(f317(f317(f75(a897),x47911),x47912),f72(a897))
% 92.29/92.10 [4792]~E(x47922,f2(a897))+~E(x47921,f2(a897))+E(f317(f317(f74(a897),x47921),x47922),f2(a897))
% 92.29/92.10 [4793]~E(x47932,f72(a897))+~E(x47931,f72(a897))+E(f317(f317(f75(a897),x47931),x47932),f72(a897))
% 92.29/92.10 [4794]~E(x47942,f72(a1))+~E(x47941,f72(a1))+E(f317(f317(f75(a1),x47941),x47942),f72(a1))
% 92.29/92.10 [4849]~P3(x48492)+E(x48491,f2(x48492))+E(f317(f317(f31(x48492),x48491),x48491),f72(x48492))
% 92.29/92.10 [4850]~P122(x48502)+E(x48501,f2(x48502))+E(f317(f317(f281(x48502),x48501),x48501),f72(x48502))
% 92.29/92.10 [4851]~P123(x48512)+E(x48511,f2(x48512))+E(f317(f317(f281(x48512),x48511),x48511),f72(x48512))
% 92.29/92.10 [4868]~P78(x48681)+~E(x48682,f2(x48681))+E(f317(f317(f74(x48681),x48682),x48682),f2(x48681))
% 92.29/92.10 [4869]~P78(x48691)+~E(x48692,f2(x48691))+E(f317(f317(f74(x48691),x48692),x48692),f2(x48691))
% 92.29/92.10 [4872]~P141(x48721)+~E(x48722,f72(x48721))+E(f317(f317(f75(x48721),x48722),x48722),f72(x48721))
% 92.29/92.10 [4873]~P123(x48731)+~E(x48732,f2(x48731))+E(f317(f317(f281(x48731),x48732),x48732),f2(x48731))
% 92.29/92.10 [4918]~E(x49182,f2(a897))+~E(x49181,f2(a897))+E(f317(f73(a1),f317(f90(a1),x49181)),f317(f90(a1),x49182))
% 92.29/92.10 [4937]E(x49371,f72(a897))+E(x49372,f2(a897))+~E(f317(f317(f75(a897),x49372),x49371),x49372)
% 92.29/92.10 [4949]E(x49491,f2(a897))+E(x49492,f2(a897))+~E(f317(f317(f75(a897),x49492),x49491),f2(a897))
% 92.29/92.10 [4974]~E(x49742,f2(a897))+~E(x49741,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49741),x49742),f317(a102,f2(a897)))
% 92.29/92.10 [4975]~E(x49751,f2(a897))+~E(x49752,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49751),x49752),f317(a102,f2(a897)))
% 92.29/92.10 [4976]~E(x49762,f2(a897))+~E(x49761,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49761),x49762),f317(a102,f2(a897)))
% 92.29/92.10 [4977]~E(x49771,f2(a897))+~E(x49772,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49771),x49772),f317(a102,f2(a897)))
% 92.29/92.10 [4984]E(x49841,f72(a1))+E(x49842,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49841),x49842),f72(a1))
% 92.29/92.10 [4985]E(x49851,f72(a1))+E(x49852,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49852),x49851),f72(a1))
% 92.29/92.10 [4986]E(x49861,f72(a1))+E(x49861,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49862),x49861),f72(a1))
% 92.29/92.10 [4987]E(x49871,f72(a1))+E(x49871,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49871),x49872),f72(a1))
% 92.29/92.10 [4988]E(x49881,f72(a1))+E(x49881,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49881),x49882),f72(a1))
% 92.29/92.10 [5012]~P78(x50122)+E(x50121,f2(x50122))+~E(f317(f317(f74(x50122),x50121),x50121),f2(x50122))
% 92.29/92.10 [5013]~P78(x50132)+E(x50131,f2(x50132))+~E(f317(f317(f74(x50132),x50131),x50131),f2(x50132))
% 92.29/92.10 [5019]~E(x50191,f317(f94(a1),a87))+~E(x50192,f317(f94(a1),a87))+E(f317(f317(f75(a1),x50191),x50192),f72(a1))
% 92.29/92.10 [5029]E(x50291,f2(a897))+E(x50292,f2(a897))+~E(f317(f317(f74(a897),x50292),x50291),f317(a102,f2(a897)))
% 92.29/92.10 [5030]E(x50301,f2(a897))+E(x50302,f2(a897))+~E(f317(f317(f74(a897),x50302),x50301),f317(a102,f2(a897)))
% 92.29/92.10 [5040]~P94(x50401)+~P61(x50401)+E(f317(f317(f281(x50401),x50402),f317(f94(x50401),a77)),f2(x50401))
% 92.29/92.10 [5047]~P141(x50471)+~E(x50472,f317(f73(x50471),f72(x50471)))+E(f317(f317(f75(x50471),x50472),x50472),f72(x50471))
% 92.29/92.10 [5052]~P6(x50522)+~P6(x50521)+P6(f317(f317(f74(a1),x50521),x50522))
% 92.29/92.10 [5053]~P6(x50532)+~P6(x50531)+P6(f317(f317(f75(a1),x50531),x50532))
% 92.29/92.10 [5054]~P6(x50542)+~P6(x50541)+P6(f317(f317(f31(a1),x50541),x50542))
% 92.29/92.10 [5055]~E(x50552,f2(a1))+E(x50551,f2(a1))+E(f42(x50551,x50552),f317(f317(f242(a1,a1),f2(a1)),x50551))
% 92.29/92.10 [5056]~E(x50562,f2(a1))+E(x50561,f2(a1))+E(f42(x50561,x50562),f317(f317(f242(a1,a1),f2(a1)),x50561))
% 92.29/92.10 [5079]~E(x50792,f317(a102,f2(a897)))+~E(x50791,f317(a102,f2(a897)))+E(f317(f317(f75(a897),x50791),x50792),f317(a102,f2(a897)))
% 92.29/92.10 [5094]E(x50941,f2(a897))+E(x50941,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x50942),x50941),f317(a102,f2(a897)))
% 92.29/92.10 [5095]E(x50951,f2(a897))+E(x50951,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x50951),x50952),f317(a102,f2(a897)))
% 92.29/92.10 [5096]E(x50961,f2(a897))+E(x50962,f317(a102,f2(a897)))+~E(f317(f317(f234(a897),x50962),x50961),f317(a102,f2(a897)))
% 92.29/92.10 [5097]E(x50971,f2(a897))+E(x50971,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x50972),x50971),f317(a102,f2(a897)))
% 92.29/92.10 [5098]E(x50981,f2(a897))+E(x50981,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x50981),x50982),f317(a102,f2(a897)))
% 92.29/92.10 [5107]~P94(x51071)+~P61(x51071)+E(f317(f317(f281(x51071),x51072),f317(f94(x51071),a87)),f317(f73(x51071),x51072))
% 92.29/92.10 [5127]E(x51271,f317(a95,x51272))+~E(x51271,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51272))
% 92.29/92.10 [5128]E(f317(a95,x51281),x51282)+~E(x51282,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51281))
% 92.29/92.10 [5143]E(x51431,f317(a102,f2(a897)))+E(x51432,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x51431),x51432),f317(a102,f2(a897)))
% 92.29/92.10 [5144]E(x51441,f317(a102,f2(a897)))+E(x51442,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x51441),x51442),f317(a102,f2(a897)))
% 92.29/92.10 [5155]~E(x51551,f317(a95,x51552))+E(x51551,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51552))
% 92.29/92.10 [5156]~E(f317(a95,x51562),x51561)+E(x51561,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51562))
% 92.29/92.10 [5179]~P107(x51791)+E(f317(f58(x51791,f228(x51791)),x51792),f14(x51791,x51792))+~P1(f317(f29(x51791),x51792))
% 92.29/92.10 [5180]~P107(x51801)+E(f317(f58(x51801,f223(x51801)),x51802),f15(x51801,x51802))+~P1(f317(f29(x51801),x51802))
% 92.29/92.10 [5181]~P99(x51811)+E(f317(f58(x51811,f91(x51811)),x51812),f13(x51811,x51812))+~P1(f317(f29(x51811),x51812))
% 92.29/92.10 [5182]~P99(x51821)+E(f317(f58(x51821,f92(x51821)),x51822),f10(x51821,x51822))+~P1(f317(f29(x51821),x51822))
% 92.29/92.10 [5259]E(x52591,x52592)+~E(f317(f317(f23(a897),x52592),x52591),f2(a897))+~E(f317(f317(f23(a897),x52591),x52592),f2(a897))
% 92.29/92.10 [5276]P6(x52761)+~P39(x52762)+~P1(f317(f317(f319(a1),x52761),x52762))
% 92.29/92.10 [5307]~P126(x53071)+~E(f76(x53071,x53072),f72(x53071))+P1(f317(f317(f225(x53071),f2(x53071)),x53072))
% 92.29/92.10 [5318]~P94(x53181)+E(f317(f90(x53181),f317(f94(a897),x53182)),f317(f94(x53181),x53182))+P1(f317(a183,f317(f94(a1),x53182)))
% 92.29/92.10 [5323]~P43(x53231,x53232)+P44(a893)+P1(f317(f29(f903(x53231,x53231)),x53232))
% 92.29/92.10 [5393]~P107(x53931)+E(f317(f58(x53931,f228(x53931)),x53932),f11(x53931,f228(x53931),x53932))+~P1(f317(f29(x53931),x53932))
% 92.29/92.10 [5394]~P107(x53941)+E(f317(f58(x53941,f223(x53941)),x53942),f12(x53941,f223(x53941),x53942))+~P1(f317(f29(x53941),x53942))
% 92.29/92.10 [5407]E(x54071,x54072)+P1(f317(f317(f225(a897),x54072),x54071))+P1(f317(f317(f225(a897),x54071),x54072))
% 92.29/92.10 [5408]E(x54081,x54082)+P1(f317(f317(f225(a897),x54082),x54081))+P1(f317(f317(f225(a897),x54081),x54082))
% 92.29/92.10 [5409]E(x54091,x54092)+P1(f317(f317(f225(a1),x54092),x54091))+P1(f317(f317(f225(a1),x54091),x54092))
% 92.29/92.10 [5463]~P94(x54631)+E(f317(f90(x54631),f317(f94(a897),x54632)),f2(x54631))+~P1(f317(a183,f317(f94(a1),x54632)))
% 92.29/92.10 [5466]~E(x54662,f317(a95,x54661))+E(x54661,f317(f90(a1),x54662))+~P1(f317(f317(f224(a1),f2(a1)),x54661))
% 92.29/92.10 [5467]~E(f317(a95,x54671),x54672)+E(x54671,f317(f90(a1),x54672))+~P1(f317(f317(f224(a1),f2(a1)),x54671))
% 92.29/92.10 [5468]~E(x54681,f317(a95,x54682))+E(f317(f90(a1),x54681),x54682)+~P1(f317(f317(f224(a1),f2(a1)),x54682))
% 92.29/92.10 [5478]E(x54781,f317(a95,x54782))+~E(x54782,f317(f90(a1),x54781))+~P1(f317(f317(f224(a1),f2(a1)),x54782))
% 92.29/92.10 [5479]E(f317(a95,x54791),x54792)+~E(x54791,f317(f90(a1),x54792))+~P1(f317(f317(f224(a1),f2(a1)),x54791))
% 92.29/92.10 [5510]~P119(x55102)+E(x55101,f2(x55102))+~P1(f317(f317(f277(x55102),f2(x55102)),x55101))
% 92.29/92.10 [5521]~P85(x55212)+E(x55211,f2(x55212))+P1(f317(f317(f225(x55212),f2(x55212)),f317(f70(x55212),x55211)))
% 92.29/92.10 [5584]~P126(x55841)+E(f76(x55841,x55842),f72(x55841))+~P1(f317(f317(f225(x55841),f2(x55841)),x55842))
% 92.29/92.10 [5585]~P126(x55851)+E(f76(x55851,x55852),f72(x55851))+~P1(f317(f317(f225(x55851),f2(x55851)),x55852))
% 92.29/92.10 [5591]~P94(x55911)+E(f317(f90(x55911),f317(f94(a897),x55912)),f2(x55911))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x55912)))
% 92.29/92.10 [5602]~P85(x56021)+E(f317(f70(x56021),x56022),x56022)+~P1(f317(f317(f224(x56021),f2(x56021)),x56022))
% 92.29/92.10 [5603]~P85(x56031)+E(f317(f70(x56031),x56032),x56032)+~P1(f317(f317(f225(x56031),f2(x56031)),x56032))
% 92.29/92.10 [5612]E(x56121,f2(a897))+~E(f129(a897,f317(f292(a897,x56122),x56121)),f103(a897))+P1(f317(f317(f224(a897),x56121),x56122))
% 92.29/92.10 [5622]~P77(x56221)+E(f317(f317(f6(x56221,x56221),f5(x56221)),f317(f162(x56221),x56222)),f317(f155(x56221),x56222))+~P1(f317(f127(x56221),x56222))
% 92.29/92.10 [5625]~P140(x56251)+E(f317(f90(x56251),f317(a95,x56252)),f317(f93(x56251),x56252))+~P1(f317(f317(f224(a1),f2(a1)),x56252))
% 92.29/92.10 [5627]~E(x56271,x56272)+P1(f317(f317(f225(a897),x56271),f317(a102,x56272)))+P1(f317(f317(f225(a897),x56271),x56272))
% 92.29/92.10 [5650]E(x56501,x56502)+P1(f317(f317(f225(a897),x56501),x56502))+~P1(f317(f317(f224(a897),x56501),x56502))
% 92.29/92.10 [5651]E(x56511,x56512)+P1(f317(f317(f225(a897),x56511),x56512))+~P1(f317(f317(f224(a897),x56511),x56512))
% 92.29/92.10 [5652]E(x56521,x56522)+P1(f317(f317(f225(a897),x56521),x56522))+~P1(f317(f317(f224(a897),x56521),x56522))
% 92.29/92.10 [5653]E(x56531,x56532)+P1(f317(f317(f225(a1),x56531),x56532))+~P1(f317(f317(f224(a1),x56531),x56532))
% 92.29/92.10 [5656]E(x56561,f72(a1))+~E(f317(f317(f75(a1),x56562),x56561),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56562))
% 92.29/92.10 [5657]E(x56571,f72(a1))+~E(f317(f317(f75(a1),x56571),x56572),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56571))
% 92.29/92.10 [5697]~P39(x56972)+P1(f317(f317(f224(a1),f2(a1)),x56971))+~P1(f317(f317(f319(a1),x56971),x56972))
% 92.29/92.10 [5698]~P39(x56982)+P1(f317(f317(f224(a1),f2(a1)),x56981))+~P1(f317(f317(f319(a1),x56981),x56982))
% 92.29/92.10 [5716]~P57(x57161,x57162)+P36(x57161,x57162)+~P1(f317(f29(f903(x57161,x57161)),x57162))
% 92.29/92.10 [5717]~P57(x57171,x57172)+P36(x57171,x57172)+~P1(f317(f29(f903(x57171,x57171)),x57172))
% 92.29/92.10 [5718]~P36(x57181,x57182)+P57(x57181,x57182)+~P1(f317(f29(f903(x57181,x57181)),x57182))
% 92.29/92.10 [5719]~P57(x57191,x57192)+P43(x57191,x57192)+~P1(f317(f29(f903(x57191,x57191)),x57192))
% 92.29/92.10 [5761]E(x57611,f178(f904(x57612,a893)))+~P1(f317(f29(x57612),x57611))+P1(f317(f317(f225(a897),f2(a897)),f317(f30(x57612),x57611)))
% 92.29/92.10 [5788]~P1(f317(x57881,x57882))+P1(f317(x57881,f2(a897)))+P1(f317(f317(f225(a897),f621(x57882,x57881)),x57882))
% 92.29/92.10 [5811]E(x58111,f2(a897))+~E(f317(f155(a897),x58112),f2(a897))+~P1(f317(f317(f319(a897),x58111),f317(f162(a897),x58112)))
% 92.29/92.10 [5847]~E(x58471,x58472)+P1(f317(f317(f225(a897),x58471),f317(a102,x58472)))+~P1(f317(f317(f224(a897),x58472),x58471))
% 92.29/92.10 [5879]E(x58791,x58792)+~P1(f317(f317(f224(a897),x58792),x58791))+~P1(f317(f317(f224(a897),x58791),x58792))
% 92.29/92.10 [5880]E(x58801,x58802)+~P1(f317(f317(f224(a1),x58802),x58801))+~P1(f317(f317(f224(a1),x58801),x58802))
% 92.29/92.10 [5881]E(x58811,x58812)+~P1(f317(f317(f277(a897),x58812),x58811))+~P1(f317(f317(f277(a897),x58811),x58812))
% 92.29/92.10 [5882]E(x58821,x58822)+~P1(f317(f317(f277(a897),x58822),x58821))+~P1(f317(f317(f277(a897),x58821),x58822))
% 92.29/92.10 [5883]E(x58831,x58832)+~P1(f317(f317(f277(a897),x58832),x58831))+~P1(f317(f317(f277(a897),x58831),x58832))
% 92.29/92.10 [5884]E(x58841,x58842)+~P1(f317(f317(f277(a897),x58842),x58841))+~P1(f317(f317(f277(a897),x58841),x58842))
% 92.29/92.10 [5885]E(x58851,x58852)+~P1(f317(f317(f277(a897),x58852),x58851))+~P1(f317(f317(f277(a897),x58851),x58852))
% 92.29/92.10 [5886]E(x58861,x58862)+~P1(f317(f317(f277(a897),x58862),x58861))+~P1(f317(f317(f277(a897),x58861),x58862))
% 92.29/92.10 [5887]E(x58871,x58872)+~P1(f317(f317(f277(a897),x58872),x58871))+~P1(f317(f317(f277(a897),x58871),x58872))
% 92.29/92.10 [5888]E(x58881,x58882)+~P1(f317(f317(f277(a897),x58882),x58881))+~P1(f317(f317(f277(a897),x58881),x58882))
% 92.29/92.10 [5889]E(x58891,x58892)+~P1(f317(f317(f277(a897),x58892),x58891))+~P1(f317(f317(f277(a897),x58891),x58892))
% 92.29/92.10 [5891]E(f317(f30(x58911),x58912),f2(a897))+~P1(f317(f29(x58911),x58912))+P1(f317(f317(f319(x58911),f699(x58912,x58911)),x58912))
% 92.29/92.10 [5900]E(f46(x59001,x59002),f42(x59001,x59002))+P1(f317(f317(f224(a1),f2(a1)),x59001))+~P1(f317(f317(f225(a1),f2(a1)),x59002))
% 92.29/92.10 [5926]~P1(f317(x59261,f848(x59261)))+P1(f317(x59261,f317(a95,x59262)))+~P1(f317(f317(f224(a1),f2(a1)),x59262))
% 92.29/92.10 [5929]P1(f317(f317(f224(a897),x59291),f588(x59292)))+~P1(f317(f29(a897),x59292))+~P1(f317(f317(f319(a897),x59291),x59292))
% 92.29/92.10 [5930]P1(f317(f317(f225(a897),x59301),f566(x59302)))+~P1(f317(f29(a897),x59302))+~P1(f317(f317(f319(a897),x59301),x59302))
% 92.29/92.10 [5958]E(x59581,x59582)+~P1(f317(f317(f225(a897),x59581),f317(a102,x59582)))+P1(f317(f317(f225(a897),x59581),x59582))
% 92.29/92.10 [5959]E(x59591,x59592)+~P1(f317(f317(f225(a897),x59591),f317(a102,x59592)))+P1(f317(f317(f225(a897),x59591),x59592))
% 92.29/92.10 [5960]E(x59601,x59602)+~P1(f317(f317(f225(a897),x59601),f317(a102,x59602)))+P1(f317(f317(f225(a897),x59601),x59602))
% 92.29/92.10 [5961]E(x59611,x59612)+~P1(f317(f317(f225(a897),x59611),f317(a102,x59612)))+P1(f317(f317(f225(a897),x59611),x59612))
% 92.29/92.10 [5997]E(x59971,f317(a102,x59972))+~P1(f317(f317(f224(a897),x59971),f317(a102,x59972)))+P1(f317(f317(f224(a897),x59971),x59972))
% 92.29/92.10 [5998]E(x59981,f317(a102,x59982))+~P1(f317(f317(f224(a897),x59981),f317(a102,x59982)))+P1(f317(f317(f224(a897),x59981),x59982))
% 92.29/92.10 [6014]P1(f317(x60141,f849(x60141)))+~P1(f317(x60141,f317(a95,x60142)))+~P1(f317(f317(f224(a1),f2(a1)),x60142))
% 92.29/92.10 [6030]~P1(f317(x60301,x60302))+~P1(f317(f317(f224(a1),f2(a1)),x60302))+P1(f317(x60301,f317(f90(a1),f801(x60301))))
% 92.29/92.10 [6041]~P85(x60412)+~E(x60411,f2(x60412))+~P1(f317(f317(f225(x60412),f2(x60412)),f317(f70(x60412),x60411)))
% 92.29/92.10 [6066]~P57(x60661,x60662)+P36(x60661,f317(f276(x60661,x60661),x60662))+~P1(f317(f29(f903(x60661,x60661)),x60662))
% 92.29/92.10 [6075]~P94(x60751)+E(f317(f90(x60751),f317(f94(a897),x60752)),f317(f94(x60751),x60752))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x60752)))
% 92.29/92.10 [6078]E(f317(a102,x60781),x60782)+~P1(f317(f317(f225(a897),x60781),x60782))+P1(f317(f317(f225(a897),f317(a102,x60781)),x60782))
% 92.29/92.10 [6093]E(f317(f317(f31(a1),x60931),x60932),f2(a1))+~P1(f317(f317(f224(a1),x60931),f2(a1)))+~P1(f317(f317(f225(a1),x60932),x60931))
% 92.29/92.10 [6094]E(f317(f317(f31(a1),x60941),x60942),f2(a1))+~P1(f317(f317(f224(a1),x60941),f2(a1)))+~P1(f317(f317(f225(a1),x60942),x60941))
% 92.29/92.10 [6106]E(f41(a1,x61061,x61062),x61061)+~P1(f317(f317(f224(a1),x61061),f2(a1)))+~P1(f317(f317(f225(a1),x61062),x61061))
% 92.29/92.10 [6120]E(f43(x61201,x61202),f42(x61201,x61202))+~P1(f317(f317(f224(a1),f2(a1)),x61201))+~P1(f317(f317(f224(a1),f2(a1)),x61202))
% 92.29/92.10 [6128]E(f317(f317(f31(a897),x61281),x61282),f2(a897))+~P1(f317(f317(f225(a897),f2(a897)),x61282))+~P1(f317(f317(f225(a897),x61281),x61282))
% 92.29/92.10 [6129]E(f317(f317(f31(a1),x61291),x61292),f2(a1))+~P1(f317(f317(f224(a1),f2(a1)),x61291))+~P1(f317(f317(f225(a1),x61291),x61292))
% 92.29/92.10 [6130]E(f317(f317(f31(a1),x61301),x61302),f2(a1))+~P1(f317(f317(f224(a1),f2(a1)),x61301))+~P1(f317(f317(f225(a1),x61301),x61302))
% 92.29/92.10 [6141]E(f41(a897,f317(f94(a897),x61411),f317(f94(a897),x61412)),f317(f94(a897),x61411))+P1(f317(a183,f317(f94(a1),x61411)))+~P1(f317(a183,f317(f94(a1),x61412)))
% 92.29/92.10 [6143]E(f41(a1,x61431,x61432),x61431)+~P1(f317(f317(f224(a1),f2(a1)),x61431))+~P1(f317(f317(f225(a1),x61431),x61432))
% 92.29/92.10 [6144]E(x61441,x61442)+~P1(f317(f317(f225(a897),x61441),f317(a102,x61442)))+~P1(f317(f317(f224(a897),x61442),x61441))
% 92.29/92.10 [6154]E(f317(f90(a1),x61541),f317(f94(a1),x61542))+~E(x61541,f317(a95,f317(f94(a1),x61542)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x61542)))
% 92.29/92.10 [6158]~P78(x61581)+~P1(f317(f317(f224(x61581),x61582),f2(x61581)))+P1(f317(f317(f224(x61581),x61582),f317(f73(x61581),x61582)))
% 92.29/92.10 [6159]~P126(x61591)+~P1(f317(f317(f225(x61591),x61592),f2(x61591)))+P1(f317(f317(f225(x61591),x61592),f317(f73(x61591),x61592)))
% 92.29/92.10 [6168]~P5(x61681)+E(f317(f317(f59(x61681,x61681,f92(x61681)),f232(x61681)),x61682),f33(x61681,x61682))+~P1(f317(f29(x61681),x61682))
% 92.29/92.10 [6169]~P5(x61691)+E(f317(f317(f59(x61691,x61691,f91(x61691)),f178(x61691)),x61692),f32(x61691,x61692))+~P1(f317(f29(x61691),x61692))
% 92.29/92.10 [6186]~P126(x61861)+~P1(f317(f317(f224(a1),f2(a1)),x61862))+P1(f317(f317(f224(x61861),f2(x61861)),f317(f93(x61861),x61862)))
% 92.29/92.10 [6187]~P110(x61871)+~P1(f317(f317(f225(a897),f2(a897)),x61872))+P1(f317(f317(f225(x61871),f2(x61871)),f317(f90(x61871),x61872)))
% 92.29/92.10 [6188]~P126(x61881)+~P1(f317(f317(f225(a1),f2(a1)),x61882))+P1(f317(f317(f225(x61881),f2(x61881)),f317(f93(x61881),x61882)))
% 92.29/92.10 [6191]~P6(x61912)+~P6(x61911)+E(f317(f300(a897,a1,f90(a1)),f293(a897,f317(a95,x61911),f317(a95,x61912))),f293(a1,x61911,x61912))
% 92.29/92.10 [6197]P1(f317(x61971,x61972))+~P1(f317(f317(f224(a1),f2(a1)),x61972))+~P1(f317(x61971,f317(f90(a1),f822(x61971))))
% 92.29/92.10 [6229]E(f317(f317(f74(a897),f317(f94(a897),x62291)),f317(f94(a897),x62292)),f317(f94(a897),x62291))+P1(f317(f317(f225(a1),x62291),a77))+~P1(f317(f317(f225(a1),x62292),a77))
% 92.29/92.10 [6233]~P126(x62331)+P1(f317(f317(f225(x62331),f2(x62331)),f76(x62331,x62332)))+~P1(f317(f317(f225(x62331),f2(x62331)),x62332))
% 92.29/92.10 [6247]~P67(x62471)+~P1(f317(f317(f224(x62471),x62472),f2(x62471)))+P1(f317(f317(f224(x62471),f2(x62471)),f317(f73(x62471),x62472)))
% 92.29/92.10 [6248]~P67(x62481)+~P1(f317(f317(f225(x62481),x62482),f2(x62481)))+P1(f317(f317(f225(x62481),f2(x62481)),f317(f73(x62481),x62482)))
% 92.29/92.10 [6251]E(x62511,f232(f904(x62512,a893)))+~E(f317(f30(x62512),x62511),f317(f30(x62512),f232(f904(x62512,a893))))+~P1(f317(f29(x62512),f232(f904(x62512,a893))))
% 92.29/92.10 [6277]~P1(f317(f317(f225(a897),f2(a897)),x62772))+~P1(f317(f317(f277(a897),x62771),x62772))+P1(f317(f317(f224(a897),x62771),x62772))
% 92.29/92.10 [6278]~P1(f317(f317(f225(a1),f2(a1)),x62782))+~P1(f317(f317(f277(a1),x62781),x62782))+P1(f317(f317(f224(a1),x62781),x62782))
% 92.29/92.10 [6285]~P78(x62851)+P1(f317(f317(f224(x62851),x62852),f2(x62851)))+~P1(f317(f317(f224(x62851),x62852),f317(f73(x62851),x62852)))
% 92.29/92.10 [6286]~P126(x62861)+P1(f317(f317(f225(x62861),x62862),f2(x62861)))+~P1(f317(f317(f225(x62861),x62862),f317(f73(x62861),x62862)))
% 92.29/92.10 [6292]E(f43(x62921,x62922),f317(f317(f242(a1,a1),f2(a1)),x62921))+~P1(f317(f317(f225(a1),f2(a1)),x62922))+~P1(f317(f317(f225(a1),x62921),x62922))
% 92.29/92.10 [6295]~P94(x62951)+P1(f317(f317(f319(x62951),f317(f94(x62951),x62952)),f176(x62951)))+~P1(f317(f317(f224(a1),a77),x62952))
% 92.29/92.10 [6324]E(x63241,f2(a897))+~P1(f317(f317(f225(a897),x63241),f317(a102,x63242)))+P1(f317(f317(f225(a897),f478(x63242,x63241)),x63242))
% 92.29/92.10 [6327]~P149(x63272)+P150(x63271,f317(f317(f299(a892),f909(x63272)),f178(f904(a892,a893))))+P1(f317(f317(f319(a895),f541(x63271,x63272)),a905))
% 92.29/92.10 [6349]~P126(x63491)+~P1(f317(f317(f225(x63491),f2(x63491)),f76(x63491,x63492)))+P1(f317(f317(f225(x63491),f2(x63491)),x63492))
% 92.29/92.10 [6351]~E(f317(f94(a897),x63512),f317(f94(a897),x63511))+P1(f317(f317(f224(a1),f317(f94(a1),x63511)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x63512)))
% 92.29/92.10 [6381]E(f317(f241(a1,a1),f46(x63811,x63812)),f317(f317(f31(a1),x63811),x63812))+~P1(f317(f317(f225(a1),x63811),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x63812))
% 92.29/92.10 [6421]E(f317(f246(a1,a1),f46(x64211,x64212)),f41(a1,x64211,x64212))+~P1(f317(f317(f225(a1),x64211),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64212))
% 92.29/92.10 [6424]~P126(x64242)+~P1(f317(f317(f224(x64242),f2(x64242)),f317(f93(x64242),x64241)))+P1(f317(f317(f224(a1),f2(a1)),x64241))
% 92.29/92.10 [6425]~P110(x64252)+~P1(f317(f317(f225(x64252),f2(x64252)),f317(f90(x64252),x64251)))+P1(f317(f317(f225(a897),f2(a897)),x64251))
% 92.29/92.10 [6426]~P126(x64262)+~P1(f317(f317(f225(x64262),f2(x64262)),f317(f93(x64262),x64261)))+P1(f317(f317(f225(a1),f2(a1)),x64261))
% 92.29/92.10 [6429]E(f317(f241(a1,a1),f43(x64291,x64292)),f317(f317(f31(a1),x64291),x64292))+~P1(f317(f317(f224(a1),f2(a1)),x64292))+~P1(f317(f317(f225(a1),f2(a1)),x64291))
% 92.29/92.10 [6443]E(f317(f246(a1,a1),f43(x64431,x64432)),f41(a1,x64431,x64432))+~P1(f317(f317(f224(a1),f2(a1)),x64432))+~P1(f317(f317(f225(a1),f2(a1)),x64431))
% 92.29/92.10 [6459]~P67(x64591)+P1(f317(f317(f224(x64591),x64592),f2(x64591)))+~P1(f317(f317(f224(x64591),f2(x64591)),f317(f73(x64591),x64592)))
% 92.29/92.10 [6460]~P67(x64601)+P1(f317(f317(f225(x64601),x64602),f2(x64601)))+~P1(f317(f317(f225(x64601),f2(x64601)),f317(f73(x64601),x64602)))
% 92.29/92.10 [6486]P1(f317(f45(x64861,x64862),f46(x64861,x64862)))+~P1(f317(f317(f225(a1),x64861),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64862))
% 92.29/92.10 [6500]~P1(f317(f317(f225(a897),f2(a897)),x65001))+~P1(f317(f317(f277(a897),x65002),x65001))+~P1(f317(f317(f225(a897),x65001),x65002))
% 92.29/92.10 [6513]P1(f317(f45(x65131,x65132),f43(x65131,x65132)))+~P1(f317(f317(f224(a1),f2(a1)),x65131))+~P1(f317(f317(f225(a1),f2(a1)),x65132))
% 92.29/92.10 [6556]~P67(x65561)+P1(f317(f317(f224(x65561),f317(f73(x65561),x65562)),f2(x65561)))+~P1(f317(f317(f224(x65561),f2(x65561)),x65562))
% 92.29/92.10 [6557]~P67(x65571)+P1(f317(f317(f225(x65571),f317(f73(x65571),x65572)),f2(x65571)))+~P1(f317(f317(f225(x65571),f2(x65571)),x65572))
% 92.29/92.10 [6578]E(f317(f317(f23(a897),f317(a95,x65781)),f317(a95,x65782)),f317(a95,f184(x65781,x65782)))+~P1(f317(f317(f224(a1),f2(a1)),x65782))+~P1(f317(f317(f224(a1),f2(a1)),x65781))
% 92.29/92.10 [6596]P1(f317(f317(f224(a1),f2(a1)),f184(x65961,x65962)))+~P1(f317(f317(f224(a1),f2(a1)),x65962))+~P1(f317(f317(f224(a1),f2(a1)),x65961))
% 92.29/92.10 [6633]~P1(f317(x66331,x66332))+P1(f317(x66331,f2(a897)))+P1(f317(x66331,f317(f317(f74(a897),f621(x66332,x66331)),f72(a897))))
% 92.29/92.10 [6639]E(f280(a897,f277(a897),x66391,x66392),f178(f904(a897,a893)))+P1(f317(f317(f277(a897),x66391),x66392))+~P1(f317(f317(f277(a897),x66392),x66391))
% 92.29/92.10 [6718]E(f317(f94(a897),x67181),f317(f94(a897),x67182))+~P1(f317(f317(f224(a1),f317(f94(a1),x67182)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x67181)))
% 92.29/92.10 [6732]~E(x67321,f2(a897))+~E(f658(x67322,x67321),f2(a897))+E(f317(f132(a897,a897,f74(a897),x67321),x67322),f2(a897))
% 92.29/92.10 [6756]~P1(f317(f29(x67561),f479(x67562,x67561)))+~P1(f317(f29(f904(x67561,a893)),x67562))+P1(f317(f29(x67561),f32(f904(x67561,a893),x67562)))
% 92.29/92.10 [6762]E(x67621,x67622)+P1(f317(f317(f225(a1),x67621),x67622))+~P1(f317(f317(f225(a1),x67621),f317(f317(f74(a1),x67622),f72(a1))))
% 92.29/92.10 [6763]P1(f317(f317(f224(a897),f317(a95,x67631)),f317(a95,x67632)))+~P1(f317(f317(f224(a1),f2(a1)),x67632))+~P1(f317(f317(f224(a1),x67631),x67632))
% 92.29/92.10 [6764]P1(f317(f317(f224(a897),f317(a95,x67641)),f317(a95,x67642)))+~P1(f317(f317(f225(a1),f2(a1)),x67641))+~P1(f317(f317(f224(a1),x67641),x67642))
% 92.29/92.10 [6765]P1(f317(f317(f225(a897),f317(a95,x67651)),f317(a95,x67652)))+~P1(f317(f317(f225(a1),f2(a1)),x67652))+~P1(f317(f317(f225(a1),x67651),x67652))
% 92.29/92.10 [6766]P1(f317(f317(f225(a897),f317(a95,x67661)),f317(a95,x67662)))+~P1(f317(f317(f224(a1),f2(a1)),x67661))+~P1(f317(f317(f225(a1),x67661),x67662))
% 92.29/92.10 [6767]P1(f317(f317(f225(a897),f317(a95,x67671)),f317(a95,x67672)))+~P1(f317(f317(f225(a1),f2(a1)),x67672))+~P1(f317(f317(f225(a1),x67671),x67672))
% 92.29/92.10 [6777]E(f41(a897,f317(a95,x67771),f317(a95,x67772)),f317(a95,f41(a1,x67771,x67772)))+~P1(f317(f317(f224(a1),f2(a1)),x67772))+~P1(f317(f317(f224(a1),f2(a1)),x67771))
% 92.29/92.10 [6778]E(f41(a897,f317(a95,x67781),f317(a95,x67782)),f317(a95,f41(a1,x67781,x67782)))+~P1(f317(f317(f224(a1),f2(a1)),x67782))+~P1(f317(f317(f224(a1),f2(a1)),x67781))
% 92.29/92.10 [6802]~P67(x68021)+~P1(f317(f317(f224(x68021),f317(f73(x68021),x68022)),f2(x68021)))+P1(f317(f317(f224(x68021),f2(x68021)),x68022))
% 92.29/92.10 [6803]~P67(x68031)+~P1(f317(f317(f225(x68031),f317(f73(x68031),x68032)),f2(x68031)))+P1(f317(f317(f225(x68031),f2(x68031)),x68032))
% 92.29/92.10 [6818]~P1(f317(f317(f225(a1),a77),x68182))+~P1(f317(f317(f225(a1),x68181),x68182))+P1(f317(f317(f225(a897),f317(f94(a897),x68181)),f317(f94(a897),x68182)))
% 92.29/92.10 [6912]~P1(f317(f317(f224(a1),f2(a1)),x69121))+P1(f317(f317(f225(a897),f317(a95,x69121)),x69122))+~P1(f317(f317(f225(a1),x69121),f317(f90(a1),x69122)))
% 92.29/92.10 [6917]P1(f317(x69171,x69172))+~P1(f317(x69171,f317(a20,f787(x69171,x69172))))+~P1(f317(f317(f319(a897),x69172),f232(f904(a897,a893))))
% 92.29/92.10 [6928]E(x69281,f2(a1))+E(f41(a1,x69282,x69281),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f31(a1),x69282),x69281))),f72(a1)),f317(f317(f31(a1),x69282),f317(f73(a1),x69281)))
% 92.29/92.10 [6942]~P1(f317(f317(f224(a1),f2(a1)),x69421))+~P1(f317(f317(f225(a897),f317(a95,x69421)),x69422))+P1(f317(f317(f225(a1),x69421),f317(f90(a1),x69422)))
% 92.29/92.10 [6978]~P1(f317(f317(f224(a897),f317(a95,x69781)),f317(a95,x69782)))+~P1(f317(f317(f224(a1),f2(a1)),x69782))+P1(f317(f317(f224(a1),x69781),x69782))
% 92.29/92.10 [6979]~P1(f317(f317(f224(a897),f317(a95,x69791)),f317(a95,x69792)))+~P1(f317(f317(f225(a1),f2(a1)),x69791))+P1(f317(f317(f224(a1),x69791),x69792))
% 92.29/92.10 [6980]~P1(f317(f317(f225(a897),f317(a95,x69801)),f317(a95,x69802)))+~P1(f317(f317(f224(a1),f2(a1)),x69801))+P1(f317(f317(f225(a1),x69801),x69802))
% 92.29/92.10 [6981]~P1(f317(f317(f225(a897),f317(a95,x69811)),f317(a95,x69812)))+~P1(f317(f317(f225(a1),f2(a1)),x69812))+P1(f317(f317(f225(a1),x69811),x69812))
% 92.29/92.10 [7012]P1(f317(f317(f224(a1),x70121),x70122))+~P1(f317(f317(f224(a897),f317(f94(a897),x70121)),f317(f94(a897),x70122)))+P1(f317(f317(f224(a1),x70121),a77))
% 92.29/92.10 [7038]P1(f317(f317(f224(a1),f2(a1)),f41(a1,x70381,x70382)))+~P1(f317(f317(f224(a1),f2(a1)),x70382))+~P1(f317(f317(f224(a1),f2(a1)),x70381))
% 92.29/92.10 [7136]P1(f317(f317(f225(a1),a77),x71361))+~P1(f317(f317(f225(a1),x71362),x71361))+~P1(f317(f317(f225(a897),f317(f94(a897),x71362)),f317(f94(a897),x71361)))
% 92.29/92.10 [7190]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x71901),x71902)),f41(a1,x71901,x71902)),f46(x71901,x71902))+~P1(f317(f317(f225(a1),x71901),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x71902))
% 92.29/92.10 [7210]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x72101),x72102)),f41(a1,x72101,x72102)),f43(x72101,x72102))+~P1(f317(f317(f224(a1),f2(a1)),x72102))+~P1(f317(f317(f224(a1),f2(a1)),x72101))
% 92.29/92.10 [7264]~P97(x72642)+E(x72641,f103(x72642))+E(f317(f132(x72642,x72642,f75(x72642),f317(f131(x72642),x72641)),f317(f161(x72642),x72641)),f317(f58(x72642,f75(x72642)),f317(f162(x72642),x72641)))
% 92.29/92.10 [7379]~E(x73791,f2(a897))+E(f317(f132(a897,a897,f74(a897),x73791),x73792),f2(a897))+P1(f317(f317(f319(a897),f658(x73792,x73791)),f317(f162(a897),x73792)))
% 92.29/92.10 [7432]~P1(f317(f317(f224(a1),x74321),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x74321),x74322)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74322))
% 92.29/92.10 [7433]~P1(f317(f317(f225(a1),x74332),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x74331),x74332)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x74331))
% 92.29/92.10 [7434]~P1(f317(f317(f225(a1),x74342),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f31(a1),x74341),x74342)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74341))
% 92.29/92.10 [7435]~P1(f317(f317(f225(a1),x74351),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f31(a1),x74351),x74352)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74352))
% 92.29/92.10 [7436]~P1(f317(f317(f225(a1),x74361),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f31(a1),x74361),x74362)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74362))
% 92.29/92.10 [7443]P1(f317(f317(f319(f904(x74431,a893)),f479(x74432,x74431)),x74432))+~P1(f317(f29(f904(x74431,a893)),x74432))+P1(f317(f29(x74431),f32(f904(x74431,a893),x74432)))
% 92.29/92.10 [7533]P24(x75331,x75331,x75332,f232(f904(x75331,a893)))+~E(f317(f300(x75331,x75331,x75332),f232(f904(x75331,a893))),f232(f904(x75331,a893)))+~P1(f317(f29(x75331),f232(f904(x75331,a893))))
% 92.29/92.10 [7655]~P24(x76551,x76551,x76552,f232(f904(x76551,a893)))+E(f317(f300(x76551,x76551,x76552),f232(f904(x76551,a893))),f232(f904(x76551,a893)))+~P1(f317(f29(x76551),f232(f904(x76551,a893))))
% 92.29/92.10 [7678]E(f43(f317(f94(a1),x76781),f317(f94(a1),x76782)),f317(f317(f242(a1,a1),f2(a1)),f317(f94(a1),x76781)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x76782)))+~P1(f317(f317(f225(a1),f317(f94(a1),x76781)),f317(f94(a1),x76782)))
% 92.29/92.10 [7795]E(f317(f317(f31(a1),x77951),x77952),f317(f94(a1),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x77951),x77952)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x77951))
% 92.29/92.10 [7852]~P1(f317(f317(f225(a1),x78522),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f31(a1),x78521),x78522)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78521))
% 92.29/92.10 [7857]E(f317(f317(f74(a1),x78571),x78572),f41(a1,x78571,x78572))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x78571),x78572)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78571))
% 92.29/92.10 [7860]P1(f317(f317(f225(a1),x78601),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f31(a1),x78601),x78602)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78602))
% 92.29/92.10 [7876]~P149(x78762)+P150(x78761,f317(f317(f299(a892),f909(x78762)),f178(f904(a892,a893))))+~P150(x78761,f317(f317(f299(a892),f317(a908,f541(x78761,x78762))),f178(f904(a892,a893))))
% 92.29/92.10 [8557]~P107(x85571)+P13(x85571,x85572)+~P1(f317(f317(f224(x85571),f317(f317(f154(x85571),x85572),f686(x85572,x85571))),f317(f317(f154(x85571),x85572),f687(x85572,x85571))))
% 92.29/92.10 [8558]~P107(x85581)+P13(x85581,x85582)+~P1(f317(f317(f224(x85581),f317(f317(f154(x85581),x85582),f694(x85582,x85581))),f317(f317(f154(x85581),x85582),f698(x85582,x85581))))
% 92.29/92.10 [5754]E(x57541,f2(a1))+~E(f41(a1,x57542,x57541),f2(a1))+E(f317(f317(f31(a1),x57542),f317(f73(a1),x57541)),f317(f73(a1),f317(f317(f31(a1),x57542),x57541)))
% 92.29/92.10 [5772]~P39(x57722)+~P39(x57721)+P39(f317(f317(f91(f904(a1,a893)),x57721),x57722))
% 92.29/92.10 [5773]~P39(x57732)+~P39(x57731)+P39(f317(f317(f92(f904(a1,a893)),x57731),x57732))
% 92.29/92.10 [5791]~P94(x57911)+~P61(x57911)+E(f317(f73(x57911),f317(f317(f281(x57911),f72(x57911)),x57912)),f317(f317(f281(x57911),f317(f94(x57911),a87)),x57912))
% 92.29/92.10 [5918]E(x59181,f2(a1))+~E(f41(a1,x59182,x59181),f2(a1))+E(f317(f317(f31(a1),f317(f73(a1),x59182)),x59181),f317(f73(a1),f317(f317(f31(a1),x59182),x59181)))
% 92.29/92.10 [6060]~P107(x60601)+P13(x60601,x60602)+P1(f317(f317(f225(a897),f687(x60602,x60601)),f317(f179(f898(x60601)),x60602)))
% 92.29/92.10 [6061]~P107(x60611)+P13(x60611,x60612)+P1(f317(f317(f225(a897),f698(x60612,x60611)),f317(f179(f898(x60611)),x60612)))
% 92.29/92.10 [6223]~P94(x62231)+~E(f317(f94(x62231),x62232),f2(x62231))+P27(x62231,f317(f94(x62231),f317(f317(f74(a1),x62232),f317(f73(a1),a77))))
% 92.29/92.10 [6224]~P94(x62241)+~E(f317(f94(x62241),x62242),f2(x62241))+P27(x62241,f317(f94(x62241),f317(f317(f74(a1),a77),f317(f73(a1),x62242))))
% 92.29/92.10 [6226]E(f317(a47,f43(f317(f73(a1),x62261),f317(f73(a1),x62262))),f42(x62261,x62262))+P1(f317(f317(f224(a1),f2(a1)),x62261))+P1(f317(f317(f225(a1),f2(a1)),x62262))
% 92.29/92.10 [6357]~E(x63572,f2(a897))+~E(x63571,f2(a897))+P1(f317(f317(f224(a1),f317(f90(a1),x63571)),f317(f73(a1),f317(f90(a1),x63572))))
% 92.29/92.10 [6387]E(f317(f317(f74(a897),f317(f94(a897),x63871)),f317(f94(a897),x63872)),f317(f94(a897),f317(f317(f74(a1),x63871),x63872)))+P1(f317(f317(f225(a1),x63871),a77))+P1(f317(f317(f225(a1),x63872),a77))
% 92.29/92.10 [6522]~P78(x65221)+~P1(f317(f317(f224(x65221),f2(x65221)),x65222))+P1(f317(f317(f224(x65221),f317(f73(x65221),x65222)),x65222))
% 92.29/92.10 [6523]~P78(x65231)+~P1(f317(f317(f225(x65231),f2(x65231)),x65232))+P1(f317(f317(f225(x65231),f317(f73(x65231),x65232)),x65232))
% 92.29/92.10 [6704]E(f317(f317(f23(a897),f317(a95,x67041)),f317(a95,x67042)),f317(a95,f317(f317(f23(a1),x67041),x67042)))+~P1(f317(f317(f224(a1),f2(a1)),x67042))+~P1(f317(f317(f224(a1),x67042),x67041))
% 92.29/92.10 [6740]E(f317(a95,f41(a1,f317(f94(a1),x67401),f317(f94(a1),x67402))),f41(a897,f317(f94(a897),x67401),f317(f94(a897),x67402)))+P1(f317(a183,f317(f94(a1),x67401)))+P1(f317(a183,f317(f94(a1),x67402)))
% 92.29/92.10 [6757]~P78(x67571)+P1(f317(f317(f224(x67571),f2(x67571)),x67572))+~P1(f317(f317(f224(x67571),f317(f73(x67571),x67572)),x67572))
% 92.29/92.10 [6758]~P78(x67581)+P1(f317(f317(f225(x67581),f2(x67581)),x67582))+~P1(f317(f317(f225(x67581),f317(f73(x67581),x67582)),x67582))
% 92.29/92.10 [6770]~P78(x67701)+~P1(f317(f317(f224(x67701),f2(x67701)),x67702))+P1(f317(f317(f224(x67701),f2(x67701)),f317(f317(f74(x67701),x67702),x67702)))
% 92.29/92.10 [6772]~P78(x67721)+~P1(f317(f317(f225(x67721),f2(x67721)),x67722))+P1(f317(f317(f225(x67721),f2(x67721)),f317(f317(f74(x67721),x67722),x67722)))
% 92.29/92.10 [6782]E(f317(f317(f74(a897),f317(a95,x67821)),f317(a95,x67822)),f317(a95,f317(f317(f74(a1),x67821),x67822)))+~P1(f317(f317(f224(a1),f2(a1)),x67822))+~P1(f317(f317(f224(a1),f2(a1)),x67821))
% 92.29/92.10 [6783]E(f317(f317(f74(a897),f317(a95,x67831)),f317(a95,x67832)),f317(a95,f317(f317(f74(a1),x67831),x67832)))+~P1(f317(f317(f224(a1),f2(a1)),x67832))+~P1(f317(f317(f224(a1),f2(a1)),x67831))
% 92.29/92.10 [6784]E(f317(f317(f75(a897),f317(a95,x67841)),f317(a95,x67842)),f317(a95,f317(f317(f75(a1),x67841),x67842)))+~P1(f317(f317(f224(a1),f2(a1)),x67842))+~P1(f317(f317(f224(a1),f2(a1)),x67841))
% 92.29/92.10 [6785]E(f317(f317(f31(a897),f317(a95,x67851)),f317(a95,x67852)),f317(a95,f317(f317(f31(a1),x67851),x67852)))+~P1(f317(f317(f224(a1),f2(a1)),x67852))+~P1(f317(f317(f224(a1),f2(a1)),x67851))
% 92.29/92.10 [6795]E(x67951,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),x67952))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x67952),x67951)))
% 92.29/92.10 [6830]~P94(x68301)+E(f317(f94(x68301),x68302),f2(x68301))+~P27(x68301,f317(f94(x68301),f317(f317(f74(a1),a77),f317(f73(a1),x68302))))
% 92.29/92.10 [6831]~P94(x68311)+E(f317(f94(x68311),x68312),f2(x68311))+~P27(x68311,f317(f94(x68311),f317(f317(f74(a1),x68312),f317(f73(a1),a77))))
% 92.29/92.10 [6890]~P1(f317(f29(x68901),x68902))+~P1(f317(f29(x68901),f232(f904(x68901,a893))))+P1(f317(f29(x68901),f317(f73(f904(x68901,a893)),x68902)))
% 92.29/92.10 [6913]~P1(f317(f317(f225(a1),f2(a1)),x69132))+~P1(f317(f317(f224(a1),x69132),x69131))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f31(a1),x69131),x69132)))
% 92.29/92.10 [6914]~P1(f317(f317(f224(a1),x69141),f2(a1)))+~P1(f317(f317(f225(a1),x69142),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f31(a1),x69141),x69142)))
% 92.29/92.10 [6952]~P1(f317(f317(f224(a1),f2(a1)),x69522))+~P1(f317(f317(f224(a1),f2(a1)),x69521))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x69521),x69522)))
% 92.29/92.10 [6953]~P1(f317(f317(f224(a1),f2(a1)),x69532))+~P1(f317(f317(f224(a1),f2(a1)),x69531))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f75(a1),x69531),x69532)))
% 92.29/92.10 [6954]~P1(f317(f317(f224(a1),f2(a1)),x69542))+~P1(f317(f317(f224(a1),f2(a1)),x69541))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f31(a1),x69541),x69542)))
% 92.29/92.10 [6955]~P1(f317(f317(f224(a1),f2(a1)),x69551))+~P1(f317(f317(f225(a1),f2(a1)),x69552))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f31(a1),x69551),x69552)))
% 92.29/92.10 [6956]~P1(f317(f317(f225(a897),f2(a897)),x69562))+~P1(f317(f317(f225(a897),f2(a897)),x69561))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x69561),x69562)))
% 92.29/92.10 [7025]E(x70251,f2(a1))+E(f41(a1,x70252,x70251),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f31(a1),x70252),x70251))),f72(a1)),f317(f317(f31(a1),f317(f73(a1),x70252)),x70251))
% 92.29/92.10 [7082]P1(f317(f317(f225(a897),f2(a897)),x70821))+P1(f317(f317(f225(a897),f2(a897)),x70822))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f74(a897),x70822),x70821)))
% 92.29/92.10 [7086]~P78(x70861)+P1(f317(f317(f224(x70861),f2(x70861)),x70862))+~P1(f317(f317(f224(x70861),f2(x70861)),f317(f317(f74(x70861),x70862),x70862)))
% 92.29/92.10 [7087]~P78(x70871)+P1(f317(f317(f225(x70871),f2(x70871)),x70872))+~P1(f317(f317(f225(x70871),f2(x70871)),f317(f317(f74(x70871),x70872),x70872)))
% 92.29/92.10 [7137]~P1(f317(f29(x71371),x71372))+P1(f317(f29(x71371),f232(f904(x71371,a893))))+~P1(f317(f29(x71371),f317(f73(f904(x71371,a893)),x71372)))
% 92.29/92.10 [7202]P1(f317(f317(f224(a1),x72021),f2(a1)))+~P1(f317(f317(f225(a1),x72022),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f31(a1),x72021),x72022)))
% 92.29/92.10 [7208]~P1(f317(f317(f225(a1),f2(a1)),x72081))+P1(f317(f317(f224(a1),x72081),x72082))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f31(a1),x72082),x72081)))
% 92.29/92.10 [7209]~P1(f317(f317(f224(a1),f2(a1)),x72092))+P1(f317(f317(f224(a1),x72091),x72092))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f31(a1),x72092),x72091)))
% 92.29/92.10 [7239]P1(f317(f317(f224(a1),f2(a1)),x72391))+~P1(f317(f317(f225(a1),f2(a1)),x72392))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f31(a1),x72391),x72392)))
% 92.29/92.10 [7240]P1(f317(f317(f225(a1),f2(a1)),x72401))+~P1(f317(f317(f224(a1),f2(a1)),x72402))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f31(a1),x72402),x72401)))
% 92.29/92.10 [7341]E(f206(x73411,x73412),x73411)+~E(x73412,f2(a897))+~P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),x73411),x73412)))
% 92.29/92.10 [7552]E(f168(x75521,x75522),f103(a1))+P1(f317(f317(f224(a1),x75521),x75522))+~P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),x75521),x75522)))
% 92.29/92.10 [7572]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x75721),x75722)),f46(x75721,x75722))+~P1(f317(f317(f225(a1),f2(a1)),x75722))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x75721),x75722)))
% 92.29/92.10 [7602]E(x76021,f2(a897))+E(f206(x76021,f41(a897,x76022,x76021)),f206(x76022,x76021))+~P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),x76022),x76021)))
% 92.29/92.10 [7657]E(f118(x76571,x76572),f105(a1))+~P1(f317(f317(f225(a1),x76571),x76572))+~P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),x76571),x76572)))
% 92.29/92.10 [7686]~P1(f317(f29(x76862),f232(f904(x76862,a893))))+~P1(f317(f29(x76861),f232(f904(x76861,a893))))+P1(f317(f29(f902(x76861,x76862)),f232(f904(f902(x76861,x76862),a893))))
% 92.29/92.10 [7687]~P1(f317(f29(x76872),f232(f904(x76872,a893))))+~P1(f317(f29(x76871),f232(f904(x76871,a893))))+P1(f317(f29(f903(x76871,x76872)),f232(f904(f903(x76871,x76872),a893))))
% 92.29/92.10 [7759]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77591))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77592))+P1(f317(f317(f225(a897),x77591),f317(f317(f75(a897),x77592),x77591)))
% 92.29/92.10 [7760]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77601))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77602))+P1(f317(f317(f225(a897),x77601),f317(f317(f75(a897),x77601),x77602)))
% 92.29/92.10 [7794]E(f317(f30(x77941),f232(f904(x77941,a893))),f317(a102,f2(a897)))+P1(f317(f29(x77942),f232(f904(x77942,a893))))+~P1(f317(f29(f904(x77942,x77941)),f232(f904(f904(x77942,x77941),a893))))
% 92.29/92.10 [7845]E(f43(x78451,x78452),f317(f317(f242(a1,a1),f2(a1)),x78451))+~P1(f317(f317(f225(a1),x78451),x78452))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x78451),x78452)))
% 92.29/92.10 [7849]E(f205(f317(f73(a1),x78491),f317(f73(a1),x78492)),f205(x78491,x78492))+~P1(f317(f317(f225(a1),x78492),f2(a1)))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x78491),x78492)))
% 92.29/92.10 [7870]E(f43(x78701,x78702),f317(f317(f242(a1,a1),f2(a1)),x78701))+~P1(f317(f317(f224(a1),x78702),f2(a1)))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x78701),x78702)))
% 92.29/92.10 [7922]~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x79221))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x79222))+P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x79221),x79222)))
% 92.29/92.10 [7923]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x79232))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x79231))+P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x79231),x79232)))
% 92.29/92.10 [8083]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x80831),x80832)),f46(x80831,x80832))+~P1(f317(f317(f224(a1),x80832),f2(a1)))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x80831),x80832)))
% 92.29/92.10 [8106]E(f106(a1,f317(f119(a1),x81061),f118(x81062,f317(f317(f74(a1),x81061),f72(a1)))),f118(x81062,x81061))+P1(f317(f317(f225(a1),x81062),x81061))+~P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),x81062),x81061)))
% 92.29/92.10 [8119]E(f317(f317(f141(a1),x81191),f168(f317(f317(f74(a1),x81191),f72(a1)),x81192)),f168(x81191,x81192))+~P1(f317(f317(f224(a1),x81191),x81192))+~P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),x81191),x81192)))
% 92.29/92.10 [8402]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x84021),x84022)),f46(x84021,x84022))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x84021),x84022)))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x84021),x84022)))
% 92.29/92.10 [8604]E(x86041,f103(x86042))+~P1(f317(f127(x86042),x86041))+E(f167(x86042,f317(f317(f8(a893,a893,x86042),a312),f317(f317(f7(x86042,x86042,a893),a314),f134(x86042,x86041))),x86041),f104(x86042,x86041))
% 92.29/92.10 [8675]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),f317(f94(a1),x86751)),f317(f94(a1),x86752))),f46(f317(f94(a1),x86751),f317(f94(a1),x86752)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x86752)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f94(a1),x86751)),f317(f94(a1),x86752))))
% 92.29/92.10 [8699]~P39(x86992)+~P39(x86991)+E(f317(f300(a897,a1,f90(a1)),f317(f317(f91(f904(a897,a893)),f317(f300(a1,a897,a95),x86991)),f317(f300(a1,a897,a95),x86992))),f317(f317(f91(f904(a1,a893)),x86991),x86992))
% 92.29/92.10 [8700]~P39(x87002)+~P39(x87001)+E(f317(f300(a897,a1,f90(a1)),f317(f317(f92(f904(a897,a893)),f317(f300(a1,a897,a95),x87001)),f317(f300(a1,a897,a95),x87002))),f317(f317(f92(f904(a1,a893)),x87001),x87002))
% 92.29/92.10 [9368]~P94(x93681)+~E(f317(f94(x93681),x93682),f72(x93681))+P27(x93681,f317(f94(x93681),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x93682))))
% 92.29/92.10 [9621]~P94(x96211)+E(f317(f94(x96211),x96212),f72(x96211))+~P27(x96211,f317(f94(x96211),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x96212))))
% 92.29/92.10 [10378]E(x103781,f2(a1))+E(x103782,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103782))),f317(f317(f317(f86(f903(a1,a1)),f317(f317(a314,f76(a1,x103781)),f76(a1,x103782))),f49(x103781,x103782)),f317(f317(f247(a1,a1,f903(a1,a1)),f317(f317(f18(a1,f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f904(f903(a1,a1),f903(a1,a1))),f904(f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),a1),f18(a1,f903(a1,a1),f903(a1,a1))),f317(f317(f8(f903(a1,a1),f904(a1,f904(f903(a1,a1),f903(a1,a1))),a1),f317(f7(a1,f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),f317(f317(f8(a893,f904(f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),a1),f86(f903(a1,a1))),f317(f317(f7(a1,a1,a893),a314),f2(a1))))),f317(f317(f7(a1,a1,f903(a1,a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f904(a1,a1),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f903(a1,a1)),f904(f904(a1,a1),f904(a1,f903(a1,a1))),a1),f8(a1,f903(a1,a1),a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f904(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103782))))),f49(x103781,x103782)))),f42(x103781,x103782))
% 92.29/92.10 [10379]E(x103791,f2(a1))+E(x103792,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103792))),f317(f317(f317(f86(f903(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f225(a1),f2(a1)),x103792)),f317(f317(f224(a1),f2(a1)),x103791))),f317(f317(a315,f317(f317(f225(a1),x103792),f2(a1))),f317(f317(f225(a1),x103791),f2(a1))))),f49(x103791,x103792)),f317(f317(f247(a1,a1,f903(a1,a1)),f317(f317(f18(a1,f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f904(f903(a1,a1),f903(a1,a1))),f904(f904(a1,f903(a1,a1)),f904(a1,f903(a1,a1))),a1),f18(a1,f903(a1,a1),f903(a1,a1))),f317(f317(f8(f903(a1,a1),f904(a1,f904(f903(a1,a1),f903(a1,a1))),a1),f317(f7(a1,f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),f317(f317(f8(a893,f904(f903(a1,a1),f904(f903(a1,a1),f903(a1,a1))),a1),f86(f903(a1,a1))),f317(f317(f7(a1,a1,a893),a314),f2(a1))))),f317(f317(f7(a1,a1,f903(a1,a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f904(a1,a1),f904(a1,f903(a1,a1))),f317(f317(f8(f904(a1,f903(a1,a1)),f904(f904(a1,a1),f904(a1,f903(a1,a1))),a1),f8(a1,f903(a1,a1),a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f904(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103792))))),f49(x103791,x103792)))),f42(x103791,x103792))
% 92.29/92.10 [5780]~P126(x57801)+~P94(x57801)+E(f317(f70(x57801),f317(f317(f234(x57801),f317(f94(x57801),a87)),x57802)),f72(x57801))
% 92.29/92.10 [6296]~P140(x62961)+~P1(f317(f317(f225(a1),x62962),f2(a1)))+E(f317(f73(x62961),f317(f90(x62961),f317(a95,f317(f73(a1),x62962)))),f317(f93(x62961),x62962))
% 92.29/92.10 [6506]P1(f317(f317(f224(a89),x65061),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65061,f317(f317(f31(a89),x65062),x65061))),f262(x65061,x65062))+P1(f317(f317(f225(a89),x65062),x65061))
% 92.29/92.10 [6993]~E(x69932,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x69931))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x69931),x69932)),x69931))
% 92.29/92.10 [6994]~E(x69941,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x69942))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x69941),x69942)),x69942))
% 92.29/92.10 [7127]~P92(x71271)+~P1(f317(f317(f319(x71271),x71272),f100(x71271)))+~E(f317(f317(f74(x71271),f317(f317(f74(x71271),f72(x71271)),x71272)),x71272),f2(x71271))
% 92.29/92.10 [7241]~P1(f317(f317(f224(a1),x72412),f2(a1)))+~P1(f317(f317(f225(a1),x72411),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f43(f317(f73(a1),x72411),f317(f73(a1),x72412)))),f317(f317(f31(a1),x72411),x72412))
% 92.29/92.10 [7258]~P1(f317(f317(f224(a1),x72582),f2(a1)))+~P1(f317(f317(f225(a1),x72581),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f43(f317(f73(a1),x72581),f317(f73(a1),x72582)))),f41(a1,x72581,x72582))
% 92.29/92.10 [7266]~P1(f317(f317(f225(a1),x72662),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f46(f317(f73(a1),x72661),f317(f73(a1),x72662)))),f317(f317(f31(a1),x72661),x72662))+~P1(f317(f317(f225(a1),f2(a1)),x72661))
% 92.29/92.10 [7284]~P1(f317(f317(f225(a1),x72842),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f46(f317(f73(a1),x72841),f317(f73(a1),x72842)))),f41(a1,x72841,x72842))+~P1(f317(f317(f225(a1),f2(a1)),x72841))
% 92.29/92.10 [7335]E(f317(f317(f31(a1),f317(f317(f234(a1),x73351),x73352)),x73351),f317(f317(f234(a1),x73351),f317(f317(f23(a897),x73352),f317(a102,f2(a897)))))+~P1(f317(f317(f225(a897),f2(a897)),x73352))+~P1(f317(f317(f225(a1),f2(a1)),x73351))
% 92.29/92.10 [7439]~P1(f317(f317(f225(a897),f2(a897)),x74391))+~P1(f317(f317(f225(a897),f2(a897)),x74392))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x74391),x74392)),x74391))
% 92.29/92.10 [7440]~P1(f317(f317(f225(a897),f2(a897)),x74401))+~P1(f317(f317(f225(a897),f72(a897)),x74402))+P1(f317(f317(f225(a897),f317(f317(f31(a897),x74401),x74402)),x74401))
% 92.29/92.10 [7441]~P1(f317(f317(f225(a1),f2(a1)),x74411))+~P1(f317(f317(f225(a1),f72(a1)),x74412))+P1(f317(f317(f225(a1),f317(f317(f31(a1),x74411),x74412)),x74411))
% 92.29/92.10 [7578]E(x75781,f2(a897))+~E(x75782,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75782)),x75781)))
% 92.29/92.10 [7619]E(x76191,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x76192))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x76192),x76191)),x76192))
% 92.29/92.10 [7620]E(x76201,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x76202))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x76201),x76202)),x76202))
% 92.29/92.10 [8001]~E(x80012,f103(f898(x80011)))+E(f317(f179(f898(f898(x80011))),f169(x80011,x80012)),f2(a897))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x80011),a897),f179(f898(x80011))),x80012)))
% 92.29/92.10 [8254]P1(f317(x82541,x82542))+~P1(f317(x82541,f317(a97,f515(x82541,x82542))))+~P1(f317(f317(f319(f904(f903(a897,a897),a893)),x82542),a88))
% 92.29/92.10 [8270]E(x82701,f103(f898(x82702)))+E(f317(f179(f898(x82702)),f317(f317(f154(f898(x82702)),x82701),f2(a897))),f317(f179(f898(f898(x82702))),f169(x82702,x82701)))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x82702),a897),f179(f898(x82702))),x82701)))
% 92.29/92.10 [8411]~P37(x84111,x84112)+~P38(x84111,x84112)+P37(x84111,f317(f317(f23(f904(f903(x84111,x84111),a893)),x84112),f297(x84111,f178(f904(f903(x84111,x84111),a893)))))
% 92.29/92.10 [8984]~P1(f317(f29(x89841),f317(f252(x89841),x89842)))+~P1(f317(f29(x89841),f232(f904(x89841,a893))))+P1(f317(f29(x89841),f317(f252(x89841),f317(f317(f8(a893,a893,x89841),a312),x89842))))
% 92.29/92.10 [9048]E(f317(f317(f242(a897,a897),f317(a102,f317(f317(f31(a897),f317(f317(f23(a897),x90481),x90482)),x90482))),f41(a897,f317(f317(f23(a897),x90481),x90482),x90482)),f79(f903(a897,a897),f44(x90481,x90482)))+~P1(f317(f317(f225(a897),f2(a897)),x90482))+~P1(f317(f317(f224(a897),x90482),x90481))
% 92.29/92.10 [9333]~P1(f317(f29(x93331),f317(f252(x93331),x93332)))+P1(f317(f29(x93331),f232(f904(x93331,a893))))+~P1(f317(f29(x93331),f317(f252(x93331),f317(f317(f8(a893,a893,x93331),a312),x93332))))
% 92.29/92.10 [10059]P26(x100591,x100592)+~P36(x100591,f317(f241(f904(f903(x100591,x100591),a893),f904(f903(x100591,x100591),a893)),x100592))+~P1(f317(f317(f224(f904(f903(x100591,x100591),a893)),f317(f317(f279(x100591,x100591,x100591),f317(f241(f904(f903(x100591,x100591),a893),f904(f903(x100591,x100591),a893)),x100592)),f317(f246(f904(f903(x100591,x100591),a893),f904(f903(x100591,x100591),a893)),x100592))),f317(f241(f904(f903(x100591,x100591),a893),f904(f903(x100591,x100591),a893)),x100592)))
% 92.29/92.10 [10103]E(f317(f39(f317(f94(a1),x101031)),f43(f317(f94(a1),x101032),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),x101031)))),f43(f317(f94(a1),x101032),f317(f94(a1),x101031)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x101031)))+P1(f317(f317(f225(a1),f317(f94(a1),x101032)),f317(f94(a1),x101031)))
% 92.29/92.10 [10109]E(f317(f39(f317(f94(a1),x101091)),f46(f317(f94(a1),x101092),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),x101091)))),f46(f317(f94(a1),x101092),f317(f94(a1),x101091)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x101091)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f94(a1),x101092)),f317(f94(a1),x101091))))
% 92.29/92.10 [10154]~E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x101542,x101541),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x101542),x101541))+P1(f317(f317(f277(a897),x101541),x101542))
% 92.29/92.10 [10155]~E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x101552,x101551),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x101552),x101551))+P1(f317(f317(f277(a897),x101551),x101552))
% 92.29/92.10 [10156]~E(f290(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x101562,x101561),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x101562),x101561))+P1(f317(f317(f277(a897),x101561),x101562))
% 92.29/92.10 [10157]~E(f287(a897,f277(a897),f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x101572,x101571),f178(f904(a897,a893)))+~P1(f317(f317(f277(a897),x101572),x101571))+P1(f317(f317(f277(a897),x101571),x101572))
% 92.29/92.10 [7364]~P1(f317(f317(f225(a897),f2(a897)),x73642))+P1(f317(f317(f225(a897),x73641),x73642))+E(f317(a102,f317(f317(f31(a897),f317(f317(f23(a897),x73641),x73642)),x73642)),f317(f317(f31(a897),x73641),x73642))
% 92.29/92.10 [7365]~P1(f317(f317(f225(a897),f2(a897)),x73652))+P1(f317(f317(f225(a897),x73651),x73652))+E(f317(a102,f317(f317(f31(a897),f317(f317(f23(a897),x73651),x73652)),x73652)),f317(f317(f31(a897),x73651),x73652))
% 92.29/92.10 [7506]~P1(f317(f317(f225(a897),f2(a897)),x75062))+~P1(f317(f317(f224(a897),x75062),x75061))+E(f317(a102,f317(f317(f31(a897),f317(f317(f23(a897),x75061),x75062)),x75062)),f317(f317(f31(a897),x75061),x75062))
% 92.29/92.10 [8475]~P94(x84751)+~P92(x84751)+~P27(x84751,f317(f94(x84751),f317(f317(f23(a1),f317(f317(f74(a1),x84752),x84752)),a87)))
% 92.29/92.10 [9239]E(x92391,f2(a897))+E(f317(f317(f247(a897,a897,f903(a897,a897)),f317(f317(f8(a897,f904(a897,f903(a897,a897)),a897),f242(a897,a897)),a102)),f79(f903(a897,a897),f44(f317(f317(f23(a897),x92392),x92391),x92391))),f79(f903(a897,a897),f44(x92392,x92391)))+P1(f317(f317(f225(a897),x92392),x92391))
% 92.29/92.10 [9423]~P37(x94231,x94232)+~P51(x94231,x94232)+P1(f317(f317(f224(f904(f903(x94231,x94231),a893)),f317(f317(f279(x94231,x94231,x94231),f317(f276(x94231,x94231),x94232)),x94232)),x94232))
% 92.29/92.10 [9685]P1(f317(x96852,f615(x96852,x96851)))+P1(f317(x96851,f615(x96852,x96851)))+E(f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96851)),f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96852)))
% 92.29/92.10 [9689]~P1(f317(x96892,f615(x96892,x96891)))+~P1(f317(x96891,f615(x96892,x96891)))+E(f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96891)),f317(f252(a1),f317(f317(f18(a1,a893,a893),f317(f317(f8(a893,f904(a893,a893),a1),a315),f317(f224(a1),f2(a1)))),x96892)))
% 92.29/92.10 [10239]~P1(f317(f317(f277(a897),x102392),x102391))+P1(f317(f317(f277(a897),x102391),x102392))+P1(f317(f317(f319(a897),x102391),f285(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102392)))
% 92.29/92.10 [10240]~P1(f317(f317(f277(a897),x102402),x102401))+P1(f317(f317(f277(a897),x102401),x102402))+P1(f317(f317(f319(a897),x102402),f288(a897,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x102401)))
% 92.29/92.10 [7716]~P94(x77161)+~P62(x77161)+E(f317(f317(f281(x77161),x77162),f317(f94(x77161),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x77162)
% 92.29/92.10 [7717]~P94(x77171)+~P62(x77171)+E(f317(f317(f281(x77171),x77172),f317(f94(x77171),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x77172)
% 92.29/92.10 [9367]~P94(x93671)+~E(f317(f94(x93671),x93672),f72(x93671))+P27(x93671,f317(f94(x93671),f317(f317(f74(a1),x93672),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.10 [9555]~P141(x95551)+~E(x95552,f72(x95551))+E(f317(f317(f234(x95551),x95552),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95551))
% 92.29/92.10 [9556]~P141(x95561)+~E(x95562,f2(x95561))+E(f317(f317(f234(x95561),x95562),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95561))
% 92.29/92.10 [9571]~P141(x95711)+~E(x95712,f317(f73(x95711),f72(x95711)))+E(f317(f317(f234(x95711),x95712),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95711))
% 92.29/92.10 [9595]~P81(x95951)+~P93(x95951)+E(f317(f317(f234(x95951),f317(f94(x95951),x95952)),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f75(x95951),f317(f94(x95951),x95952)),f317(f94(x95951),x95952)))
% 92.29/92.10 [9622]~P94(x96221)+E(f317(f94(x96221),x96222),f72(x96221))+~P27(x96221,f317(f94(x96221),f317(f317(f74(a1),x96222),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.10 [9740]~P141(x97402)+E(x97401,f2(x97402))+~E(f317(f317(f234(x97402),x97401),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x97402))
% 92.29/92.10 [10003]~P126(x100032)+E(x100031,f2(x100032))+P1(f317(f317(f225(x100032),f2(x100032)),f317(f317(f234(x100032),x100031),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.10 [10058]~P126(x100582)+~E(x100581,f2(x100582))+~P1(f317(f317(f225(x100582),f2(x100582)),f317(f317(f234(x100582),x100581),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.10 [10094]P1(f317(f317(f224(a1),x100941),f2(a1)))+P1(f317(f317(f225(a1),x100942),x100941))+E(f317(f39(x100941),f43(x100942,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100941))),f43(x100942,x100941))
% 92.29/92.10 [10095]~P1(f317(f317(f225(a1),f2(a1)),x100951))+P1(f317(f317(f225(a1),x100952),x100951))+E(f317(f39(x100951),f43(x100952,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100951))),f43(x100952,x100951))
% 92.29/92.10 [10096]P1(f317(f317(f224(a1),x100961),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x100962),x100961)))+E(f317(f39(x100961),f46(x100962,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100961))),f46(x100962,x100961))
% 92.29/92.10 [10097]~P1(f317(f317(f225(a1),f2(a1)),x100971))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x100972),x100971)))+E(f317(f39(x100971),f46(x100972,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100971))),f46(x100972,x100971))
% 92.29/92.10 [10098]~P144(x100981)+~P1(f317(f317(f224(a1),f2(a1)),x100982))+E(f317(f90(x100981),f317(a95,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100982))),f317(f317(f74(x100981),f317(f90(x100981),f317(a95,x100982))),f317(f90(x100981),f317(a95,x100982))))
% 92.29/92.10 [5114]~P147(x51141,x51143,x51142)+~E(x51143,f2(a1))+P1(f317(x51141,x51142))
% 92.29/92.10 [5238]~P107(x52381)+~P13(x52381,x52383)+P13(x52381,f160(x52381,x52382,x52383))
% 92.29/92.10 [5239]~P107(x52391)+~P13(x52391,x52393)+P13(x52391,f167(x52391,x52392,x52393))
% 92.29/92.10 [4801]~P75(x48012)+~E(x48013,f317(f73(x48012),x48011))+E(x48011,f317(f73(x48012),x48013))
% 92.29/92.10 [4802]~P75(x48022)+~E(x48023,f317(f73(x48022),x48021))+E(x48021,f317(f73(x48022),x48023))
% 92.29/92.10 [4803]~P75(x48031)+~E(f317(f73(x48031),x48033),x48032)+E(f317(f73(x48031),x48032),x48033)
% 92.29/92.10 [4804]~P75(x48041)+~E(f317(f73(x48041),x48043),x48042)+E(f317(f73(x48041),x48042),x48043)
% 92.29/92.10 [4883]~P95(x48833)+E(x48831,x48832)+~E(f317(f90(x48833),x48831),f317(f90(x48833),x48832))
% 92.29/92.10 [4884]~P75(x48843)+E(x48841,x48842)+~E(f317(f73(x48843),x48841),f317(f73(x48843),x48842))
% 92.29/92.10 [4885]~P96(x48853)+E(x48851,x48852)+~E(f317(f73(x48853),x48851),f317(f73(x48853),x48852))
% 92.29/92.10 [4886]~P92(x48863)+E(x48861,x48862)+~E(f317(f93(x48863),x48861),f317(f93(x48863),x48862))
% 92.29/92.10 [4887]~P107(x48873)+E(x48871,x48872)+~E(f317(f272(x48873),x48871),f317(f272(x48873),x48872))
% 92.29/92.10 [4888]~P107(x48883)+E(x48881,x48882)+~E(f317(f291(x48883),x48881),f317(f291(x48883),x48882))
% 92.29/92.10 [4889]~P107(x48893)+E(x48891,x48892)+~E(f317(f273(x48893),x48891),f317(f273(x48893),x48892))
% 92.29/92.10 [4890]~P107(x48903)+E(x48901,x48902)+~E(f317(f294(x48903),x48901),f317(f294(x48903),x48902))
% 92.29/92.10 [4991]~P60(x49911)+~P1(f317(x49912,x49913))+P1(f317(f52(x49911),x49912))
% 92.29/92.10 [4992]~P60(x49921)+~P1(f317(x49922,x49923))+P1(f317(f52(x49921),x49922))
% 92.29/92.10 [5031]~P60(x50313)+P1(f317(x50311,x50312))+~P1(f317(f53(x50313),x50311))
% 92.29/92.10 [5032]~P60(x50323)+P1(f317(x50321,x50322))+~P1(f317(f53(x50323),x50321))
% 92.29/92.10 [5134]~P148(x51341,x51342,x51343)+~E(x51342,f2(a1))+P1(f317(x51341,f2(a1)))
% 92.29/92.10 [5174]~E(x51741,f2(a897))+E(f562(x51741,x51742,x51743),f178(f904(x51743,a893)))+~E(f317(f30(x51743),x51742),f317(a102,x51741))
% 92.29/92.10 [5322]~E(x53222,f2(a897))+E(f317(f241(a897,a897),x53221),f2(a897))+~P1(f317(f44(x53223,x53222),x53221))
% 92.29/92.10 [5361]P1(f317(x53611,x53612))+~E(x53613,f317(f90(a1),x53612))+~P1(f317(x53611,f317(a95,x53613)))
% 92.29/92.10 [5844]~E(x58443,f2(a897))+~P1(f317(x58441,x58442))+P1(f317(x58441,f41(a897,x58442,x58443)))
% 92.29/92.10 [6089]~P105(x60892)+~P105(x60891)+E(f121(x60891,x60892,f122(x60891,x60893),f122(x60892,x60893)),f122(f903(x60891,x60892),x60893))
% 92.29/92.10 [6276]~E(x62763,f2(a897))+P1(f317(x62761,x62762))+~P1(f317(x62761,f41(a897,x62762,x62763)))
% 92.29/92.10 [6977]E(x69771,f2(a897))+~P1(f317(x69772,f862(x69771,x69773,x69772)))+P1(f317(x69772,f41(a897,x69773,x69771)))
% 92.29/92.10 [7092]~P5(x70921)+~P1(f317(f317(f224(x70921),x70922),f481(x70923,x70922,x70921)))+P1(f317(f317(f224(x70921),x70922),f33(x70921,x70923)))
% 92.29/92.10 [7094]~P1(f317(x70941,x70942))+~P1(f317(x70941,f862(x70943,x70942,x70941)))+P1(f317(x70941,f41(a897,x70942,x70943)))
% 92.29/92.10 [7196]E(x71961,f103(x71962))+E(f317(f317(f141(x71962),f667(x71963,x71961,x71962)),f671(x71963,x71961,x71962)),x71961)+~P1(f317(f317(f319(f898(x71962)),x71961),f151(x71962,x71963)))
% 92.29/92.10 [7228]~P140(x72281)+~P1(f317(f317(f319(x72281),x72282),f100(x72281)))+P1(f317(f317(f319(x72281),f317(f317(f234(x72281),x72282),x72283)),f100(x72281)))
% 92.29/92.10 [7551]P36(x75511,x75512)+~P1(f317(f317(f319(x75511),x75513),f601(x75512,x75511)))+P1(f317(f317(f319(x75511),f614(x75512,x75511,x75513)),f601(x75512,x75511)))
% 92.29/92.10 [7822]E(x78221,f103(x78222))+~P1(f317(f317(f319(f898(x78222)),x78221),f151(x78222,x78223)))+P1(f317(f317(f319(f898(x78222)),f671(x78223,x78221,x78222)),f151(x78222,x78223)))
% 92.29/92.10 [7874]E(x78741,f2(a897))+E(f317(f317(f74(a897),f317(f317(f75(a897),x78741),f863(x78741,x78742,x78743))),f862(x78741,x78742,x78743)),x78742)+P1(f317(x78743,f41(a897,x78742,x78741)))
% 92.29/92.10 [7917]~P1(f317(x79173,x79172))+E(f317(f317(f74(a897),f317(f317(f75(a897),x79171),f863(x79171,x79172,x79173))),f862(x79171,x79172,x79173)),x79172)+P1(f317(x79173,f41(a897,x79172,x79171)))
% 92.29/92.10 [8057]P1(f317(f317(f225(a1),x80571),f857(x80572,x80573,x80571)))+P1(f317(f317(x80573,f317(f317(f31(a1),x80572),x80571)),f41(a1,x80572,x80571)))+~P1(f317(f317(f225(a1),x80571),f2(a1)))
% 92.29/92.10 [8325]P1(f317(f317(x83252,f317(f317(f31(a1),x83251),x83253)),f41(a1,x83251,x83253)))+~P1(f317(f317(f225(a1),x83253),f2(a1)))+P1(f317(f317(f224(a1),f857(x83251,x83252,x83253)),f2(a1)))
% 92.29/92.10 [8509]E(f317(f317(f74(a1),f317(f317(f75(a1),x85091),f858(x85092,x85093,x85091))),f857(x85092,x85093,x85091)),x85092)+P1(f317(f317(x85093,f317(f317(f31(a1),x85092),x85091)),f41(a1,x85092,x85091)))+~P1(f317(f317(f225(a1),x85091),f2(a1)))
% 92.29/92.10 [8747]~P1(f317(f317(x87471,f858(x87472,x87471,x87473)),f857(x87472,x87471,x87473)))+P1(f317(f317(x87471,f317(f317(f31(a1),x87472),x87473)),f41(a1,x87472,x87473)))+~P1(f317(f317(f225(a1),x87473),f2(a1)))
% 92.29/92.10 [8997]~P107(x89971)+~P13(x89971,x89973)+P13(x89971,f139(x89971,x89971,f5(x89971),x89972,x89973))
% 92.29/92.10 [9500]~P111(x95002)+E(x95001,f2(x95002))+~P1(f317(f317(f224(x95002),f317(f317(f74(x95002),f317(f317(f75(x95002),x95003),x95003)),f317(f317(f75(x95002),x95001),x95001))),f2(x95002)))
% 92.29/92.10 [9501]~P111(x95012)+E(x95011,f2(x95012))+~P1(f317(f317(f224(x95012),f317(f317(f74(x95012),f317(f317(f75(x95012),x95011),x95011)),f317(f317(f75(x95012),x95013),x95013))),f2(x95012)))
% 92.29/92.10 [10313]~P126(x103131)+~P1(f317(f317(f225(x103131),x103132),f2(x103131)))+P1(f317(f317(f225(x103131),f317(f317(f234(x103131),x103132),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x103133)))),f2(x103131)))
% 92.29/92.10 [10322]~P126(x103222)+E(x103221,f2(x103222))+~P1(f317(f317(f224(x103222),f317(f317(f74(x103222),f317(f317(f234(x103222),x103223),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103222),x103221),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103222)))
% 92.29/92.10 [10323]~P126(x103232)+E(x103231,f2(x103232))+~P1(f317(f317(f224(x103232),f317(f317(f74(x103232),f317(f317(f234(x103232),x103231),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103232),x103233),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103232)))
% 92.29/92.10 [4838]~E(x48382,x48383)+~P68(x48381)+E(f317(f317(f23(x48381),x48382),x48383),f2(x48381))
% 92.29/92.10 [4839]~E(x48392,x48393)+~P75(x48391)+E(f317(f317(f23(x48391),x48392),x48393),f2(x48391))
% 92.29/92.10 [4852]~P146(x48521)+~E(x48523,f2(x48521))+E(f317(f317(f74(x48521),x48522),x48523),x48522)
% 92.29/92.10 [4870]~P138(x48701)+~E(x48703,f2(x48701))+E(f317(f317(f75(x48701),x48702),x48703),f2(x48701))
% 92.29/92.10 [4871]~P138(x48711)+~E(x48712,f2(x48711))+E(f317(f317(f75(x48711),x48712),x48713),f2(x48711))
% 92.29/92.10 [4891]~E(x48913,f103(x48911))+~E(x48912,f103(x48911))+E(f317(f317(f124(x48911),x48912),x48913),f103(x48911))
% 92.29/92.10 [4892]~E(x48923,f103(x48921))+~E(x48922,f103(x48921))+E(f317(f317(f124(x48921),x48922),x48923),f103(x48921))
% 92.29/92.10 [4982]~P146(x49822)+E(x49821,f2(x49822))+~E(f317(f317(f74(x49822),x49823),x49821),x49823)
% 92.29/92.10 [4983]~P75(x49831)+~E(x49832,f317(f73(x49831),x49833))+E(f317(f317(f74(x49831),x49832),x49833),f2(x49831))
% 92.29/92.10 [4990]E(x49901,f103(x49902))+E(x49903,f2(a897))+~E(f317(f317(f165(x49902),x49903),x49901),f103(x49902))
% 92.29/92.10 [5000]~P68(x50003)+E(x50001,x50002)+~E(f317(f317(f23(x50003),x50001),x50002),f2(x50003))
% 92.29/92.10 [5001]~P75(x50013)+E(x50011,x50012)+~E(f317(f317(f23(x50013),x50011),x50012),f2(x50013))
% 92.29/92.10 [5014]~P141(x50142)+E(x50141,f2(x50142))+~E(f317(f317(f234(x50142),x50141),x50143),f2(x50142))
% 92.29/92.10 [5015]~P100(x50152)+E(x50151,f178(x50152))+~E(f317(f317(f91(x50152),x50153),x50151),f178(x50152))
% 92.29/92.10 [5016]~P100(x50162)+E(x50161,f178(x50162))+~E(f317(f317(f91(x50162),x50161),x50163),f178(x50162))
% 92.29/92.10 [5017]~P103(x50172)+E(x50171,f232(x50172))+~E(f317(f317(f92(x50172),x50173),x50171),f232(x50172))
% 92.29/92.10 [5018]~P103(x50182)+E(x50181,f232(x50182))+~E(f317(f317(f92(x50182),x50181),x50183),f232(x50182))
% 92.29/92.10 [5088]~P75(x50882)+E(x50881,f317(f73(x50882),x50883))+~E(f317(f317(f74(x50882),x50881),x50883),f2(x50882))
% 92.29/92.10 [5089]~P75(x50891)+E(f317(f73(x50891),x50892),x50893)+~E(f317(f317(f74(x50891),x50892),x50893),f2(x50891))
% 92.29/92.10 [5090]~E(x50902,x50903)+~P108(x50901)+P1(f317(f317(f224(x50901),x50902),x50903))
% 92.29/92.10 [5091]~E(x50912,x50913)+~P65(x50911)+P1(f317(f317(f224(x50911),x50912),x50913))
% 92.29/92.10 [5092]~E(x50922,x50923)+~P108(x50921)+P1(f317(f317(f224(x50921),x50922),x50923))
% 92.29/92.10 [5093]~E(x50932,x50933)+~P108(x50931)+P1(f317(f317(f224(x50931),x50932),x50933))
% 92.29/92.10 [5191]~P120(x51911)+~E(x51912,f317(f73(x51911),x51913))+E(f317(f317(f75(x51911),x51912),x51912),f317(f317(f75(x51911),x51913),x51913))
% 92.29/92.10 [5199]~P107(x51991)+~P13(x51991,x51993)+P13(x51991,f317(f317(f165(x51991),x51992),x51993))
% 92.29/92.10 [5200]~P107(x52001)+~P13(x52001,x52003)+P13(x52001,f317(f317(f128(x52001),x52002),x52003))
% 92.29/92.10 [5235]E(x52351,x52352)+E(x52353,f2(a897))+~E(f317(f317(f75(a897),x52353),x52351),f317(f317(f75(a897),x52353),x52352))
% 92.29/92.10 [5236]E(x52361,x52362)+E(x52363,f2(a897))+~E(f317(f317(f75(a897),x52363),x52361),f317(f317(f75(a897),x52363),x52362))
% 92.29/92.10 [5237]E(x52371,x52372)+E(x52373,f2(a897))+~E(f317(f317(f75(a897),x52371),x52373),f317(f317(f75(a897),x52372),x52373))
% 92.29/92.10 [5315]~E(x53152,x53153)+~P108(x53151)+E(f293(x53151,x53152,x53153),f317(f317(f299(x53151),x53152),f178(f904(x53151,a893))))
% 92.29/92.10 [5350]~P126(x53501)+~E(f317(f70(x53501),x53502),f317(f70(x53501),x53503))+P1(f317(f317(f277(x53501),x53502),x53503))
% 92.29/92.10 [5353]~E(x53531,x53532)+~P107(x53533)+~P1(f317(f317(f225(x53533),x53531),x53532))
% 92.29/92.10 [5354]~E(x53541,x53542)+~P107(x53543)+~P1(f317(f317(f225(x53543),x53541),x53542))
% 92.29/92.10 [5355]~E(x53551,x53552)+~P108(x53553)+~P1(f317(f317(f225(x53553),x53551),x53552))
% 92.29/92.10 [5356]~E(x53561,x53562)+~P108(x53563)+~P1(f317(f317(f225(x53563),x53561),x53562))
% 92.29/92.10 [5357]~E(x53571,x53572)+~P108(x53573)+~P1(f317(f317(f225(x53573),x53571),x53572))
% 92.29/92.10 [5358]~E(x53581,x53582)+~P107(x53583)+~P1(f317(f317(f225(x53583),x53581),x53582))
% 92.29/92.10 [5359]~E(x53591,x53592)+~P108(x53593)+~P1(f317(f317(f225(x53593),x53591),x53592))
% 92.29/92.10 [5371]~P108(x53711)+E(f317(f292(x53711,x53712),x53713),f178(f904(x53711,a893)))+P1(f317(f317(f225(x53711),x53712),x53713))
% 92.29/92.10 [5372]~P108(x53721)+E(f317(f292(x53721,x53722),x53723),f178(f904(x53721,a893)))+P1(f317(f317(f225(x53721),x53722),x53723))
% 92.29/92.10 [5421]~P108(x54211)+E(f295(x54211,x54212,x54213),f178(f904(x54211,a893)))+P1(f317(f317(f225(x54211),x54212),x54213))
% 92.29/92.10 [5422]~P108(x54221)+E(f293(x54221,x54222,x54223),f178(f904(x54221,a893)))+P1(f317(f317(f224(x54221),x54222),x54223))
% 92.29/92.10 [5423]~P108(x54231)+E(f178(f904(x54231,a893)),f295(x54231,x54232,x54233))+P1(f317(f317(f225(x54231),x54232),x54233))
% 92.29/92.10 [5424]~P108(x54241)+E(f178(f904(x54241,a893)),f293(x54241,x54242,x54243))+P1(f317(f317(f224(x54241),x54242),x54243))
% 92.29/92.10 [5432]~P107(x54321)+~E(f317(f317(f228(x54321),x54322),x54323),x54322)+P1(f317(f317(f224(x54321),x54322),x54323))
% 92.29/92.10 [5433]~P107(x54331)+~E(f317(f317(f223(x54331),x54332),x54333),x54333)+P1(f317(f317(f224(x54331),x54332),x54333))
% 92.29/92.10 [5434]~P98(x54341)+~E(f317(f317(f91(x54341),x54342),x54343),x54343)+P1(f317(f317(f224(x54341),x54342),x54343))
% 92.29/92.10 [5435]~P104(x54351)+~E(f317(f317(f92(x54351),x54352),x54353),x54352)+P1(f317(f317(f224(x54351),x54352),x54353))
% 92.29/92.10 [5453]~P107(x54531)+P13(x54531,x54532)+~P13(x54531,f317(f317(f141(x54531),x54533),x54532))
% 92.29/92.10 [5454]~P107(x54541)+P13(x54541,x54542)+~P13(x54541,f317(f317(f141(x54541),x54543),x54542))
% 92.29/92.10 [5455]~P107(x54551)+P13(x54551,x54552)+~P13(x54551,f317(f317(f124(x54551),x54553),x54552))
% 92.29/92.10 [5456]~P107(x54561)+P13(x54561,x54562)+~P13(x54561,f317(f317(f124(x54561),x54562),x54563))
% 92.29/92.10 [5461]~P3(x54611)+~E(f41(x54611,x54613,x54612),f2(x54611))+P1(f317(f317(f277(x54611),x54612),x54613))
% 92.29/92.10 [5522]~P107(x55221)+P1(f317(f317(f224(x55221),x55223),x55222))+P1(f317(f317(f224(x55221),x55222),x55223))
% 92.29/92.10 [5523]~P107(x55231)+P1(f317(f317(f224(x55231),x55233),x55232))+P1(f317(f317(f224(x55231),x55232),x55233))
% 92.29/92.10 [5524]~P107(x55241)+P1(f317(f317(f225(x55241),x55243),x55242))+P1(f317(f317(f224(x55241),x55242),x55243))
% 92.29/92.10 [5525]~P107(x55251)+P1(f317(f317(f225(x55251),x55253),x55252))+P1(f317(f317(f224(x55251),x55252),x55253))
% 92.29/92.10 [5526]~P107(x55261)+P1(f317(f317(f225(x55261),x55263),x55262))+P1(f317(f317(f224(x55261),x55262),x55263))
% 92.29/92.10 [5527]~P107(x55271)+P1(f317(f317(f225(x55271),x55273),x55272))+P1(f317(f317(f224(x55271),x55272),x55273))
% 92.29/92.10 [5528]~P107(x55281)+P1(f317(f317(f225(x55281),x55283),x55282))+P1(f317(f317(f224(x55281),x55282),x55283))
% 92.29/92.10 [5565]~P107(x55651)+E(f317(f317(f228(x55651),x55652),x55653),x55653)+~P1(f317(f317(f224(x55651),x55653),x55652))
% 92.29/92.10 [5566]~P107(x55661)+E(f317(f317(f228(x55661),x55662),x55663),x55662)+~P1(f317(f317(f224(x55661),x55662),x55663))
% 92.29/92.10 [5567]~P107(x55671)+E(f317(f317(f228(x55671),x55672),x55673),x55672)+~P1(f317(f317(f224(x55671),x55672),x55673))
% 92.29/92.10 [5568]~P107(x55681)+E(f317(f317(f223(x55681),x55682),x55683),x55682)+~P1(f317(f317(f224(x55681),x55683),x55682))
% 92.29/92.10 [5569]~P107(x55691)+E(f317(f317(f223(x55691),x55692),x55693),x55693)+~P1(f317(f317(f224(x55691),x55692),x55693))
% 92.29/92.10 [5570]~P107(x55701)+E(f317(f317(f223(x55701),x55702),x55703),x55703)+~P1(f317(f317(f224(x55701),x55702),x55703))
% 92.29/92.10 [5571]~P98(x55711)+E(f317(f317(f91(x55711),x55712),x55713),x55712)+~P1(f317(f317(f224(x55711),x55713),x55712))
% 92.29/92.10 [5572]~P98(x55721)+E(f317(f317(f91(x55721),x55722),x55723),x55723)+~P1(f317(f317(f224(x55721),x55722),x55723))
% 92.29/92.10 [5573]~P98(x55731)+E(f317(f317(f91(x55731),x55732),x55733),x55733)+~P1(f317(f317(f224(x55731),x55732),x55733))
% 92.29/92.10 [5574]~P104(x55741)+E(f317(f317(f92(x55741),x55742),x55743),x55743)+~P1(f317(f317(f224(x55741),x55743),x55742))
% 92.29/92.10 [5575]~P104(x55751)+E(f317(f317(f92(x55751),x55752),x55753),x55752)+~P1(f317(f317(f224(x55751),x55752),x55753))
% 92.29/92.10 [5576]~P104(x55761)+E(f317(f317(f92(x55761),x55762),x55763),x55762)+~P1(f317(f317(f224(x55761),x55762),x55763))
% 92.29/92.10 [5583]~P122(x55832)+E(x55831,f2(x55832))+E(f317(f317(f281(x55832),f317(f73(x55832),x55833)),f317(f73(x55832),x55831)),f317(f317(f281(x55832),x55833),x55831))
% 92.29/92.10 [5589]~P3(x55891)+E(f41(x55891,x55892,x55893),f2(x55891))+~P1(f317(f317(f277(x55891),x55893),x55892))
% 92.29/92.10 [5590]~P3(x55901)+E(f41(x55901,x55902,x55903),f2(x55901))+~P1(f317(f317(f277(x55901),x55903),x55902))
% 92.29/92.10 [5636]~P108(x56361)+E(f317(f292(x56361,x56362),x56363),f178(f904(x56361,a893)))+~P1(f317(f317(f224(x56361),x56363),x56362))
% 92.29/92.10 [5669]~P108(x56691)+E(f296(x56691,x56692,x56693),f178(f904(x56691,a893)))+~P1(f317(f317(f224(x56691),x56693),x56692))
% 92.29/92.10 [5670]~P108(x56701)+E(f295(x56701,x56702,x56703),f178(f904(x56701,a893)))+~P1(f317(f317(f224(x56701),x56703),x56702))
% 92.29/92.10 [5671]~P108(x56711)+E(f293(x56711,x56712,x56713),f178(f904(x56711,a893)))+~P1(f317(f317(f225(x56711),x56713),x56712))
% 92.29/92.10 [5723]~E(f317(f317(f23(a897),x57231),x57233),x57232)+E(x57231,f317(f317(f74(a897),x57232),x57233))+~P1(f317(f317(f224(a897),x57233),x57231))
% 92.29/92.10 [5724]~E(x57241,f317(f317(f74(a897),x57243),x57242))+E(f317(f317(f23(a897),x57241),x57242),x57243)+~P1(f317(f317(f224(a897),x57242),x57241))
% 92.29/92.10 [5769]~P1(f317(x57691,x57693))+P1(f317(x57691,f368(x57691,x57692)))+~P1(f317(f317(f224(a897),x57693),x57692))
% 92.29/92.10 [5770]~P1(f317(x57701,x57703))+P1(f317(x57701,f370(x57701,x57702)))+~P1(f317(f317(f225(a897),x57703),x57702))
% 92.29/92.10 [5777]~P108(x57771)+~E(f317(f292(x57771,x57772),x57773),f178(f904(x57771,a893)))+~P1(f317(f317(f225(x57771),x57772),x57773))
% 92.29/92.10 [5778]~P108(x57781)+~E(f317(f292(x57781,x57782),x57783),f178(f904(x57781,a893)))+~P1(f317(f317(f225(x57781),x57782),x57783))
% 92.29/92.10 [5782]~P65(x57821)+~P1(f317(f317(f225(x57821),x57822),x57823))+P1(f317(f317(f224(x57821),x57822),x57823))
% 92.29/92.10 [5783]~P65(x57831)+~P1(f317(f317(f225(x57831),x57832),x57833))+P1(f317(f317(f224(x57831),x57832),x57833))
% 92.29/92.10 [5784]~P108(x57841)+~P1(f317(f317(f225(x57841),x57842),x57843))+P1(f317(f317(f224(x57841),x57842),x57843))
% 92.29/92.10 [5785]~P108(x57851)+~P1(f317(f317(f225(x57851),x57852),x57853))+P1(f317(f317(f224(x57851),x57852),x57853))
% 92.29/92.10 [5903]~P108(x59031)+~E(f295(x59031,x59032,x59033),f178(f904(x59031,a893)))+~P1(f317(f317(f225(x59031),x59032),x59033))
% 92.29/92.10 [5904]~P108(x59041)+~E(f293(x59041,x59042,x59043),f178(f904(x59041,a893)))+~P1(f317(f317(f224(x59041),x59042),x59043))
% 92.29/92.10 [5905]~P108(x59051)+~E(f178(f904(x59051,a893)),f295(x59051,x59052,x59053))+~P1(f317(f317(f225(x59051),x59052),x59053))
% 92.29/92.10 [5906]~P108(x59061)+~E(f178(f904(x59061,a893)),f293(x59061,x59062,x59063))+~P1(f317(f317(f224(x59061),x59062),x59063))
% 92.29/92.10 [5916]P1(f317(x59161,x59162))+~P1(f317(x59161,f371(x59161,x59163)))+~P1(f317(f317(f224(a897),x59162),x59163))
% 92.29/92.10 [5917]P1(f317(x59171,x59172))+~P1(f317(x59171,f374(x59171,x59173)))+~P1(f317(f317(f225(a897),x59172),x59173))
% 92.29/92.10 [5925]~E(x59251,f317(a102,x59253))+P1(f317(f317(f225(a897),x59251),f317(a102,x59252)))+~P1(f317(f317(f225(a897),x59253),x59252))
% 92.29/92.10 [5944]E(x59441,x59442)+~E(f317(f317(f75(a897),x59443),x59441),f317(f317(f75(a897),x59443),x59442))+~P1(f317(f317(f225(a897),f2(a897)),x59443))
% 92.29/92.10 [6005]E(f317(x60051,f403(x60051,x60052,x60053)),f72(a897))+~E(f317(f317(f6(x60053,a897),x60051),x60052),f72(a897))+~P1(f317(f29(x60053),x60052))
% 92.29/92.10 [6022]~P5(x60221)+P1(f317(f317(f224(x60221),x60222),f32(x60221,x60223)))+~P1(f317(f317(f319(x60221),x60222),x60223))
% 92.29/92.10 [6045]~P65(x60451)+~P1(f317(f317(f225(x60451),x60453),x60452))+~P1(f317(f317(f224(x60451),x60452),x60453))
% 92.29/92.10 [6046]~P65(x60461)+~P1(f317(f317(f225(x60461),x60463),x60462))+~P1(f317(f317(f225(x60461),x60462),x60463))
% 92.29/92.10 [6047]~P65(x60471)+~P1(f317(f317(f225(x60471),x60473),x60472))+~P1(f317(f317(f225(x60471),x60472),x60473))
% 92.29/92.10 [6048]~P65(x60481)+~P1(f317(f317(f225(x60481),x60483),x60482))+~P1(f317(f317(f225(x60481),x60482),x60483))
% 92.29/92.10 [6049]~P65(x60491)+~P1(f317(f317(f225(x60491),x60493),x60492))+~P1(f317(f317(f225(x60491),x60492),x60493))
% 92.29/92.10 [6050]~P107(x60501)+~P1(f317(f317(f225(x60501),x60503),x60502))+~P1(f317(f317(f224(x60501),x60502),x60503))
% 92.29/92.10 [6051]~P107(x60511)+~P1(f317(f317(f225(x60511),x60513),x60512))+~P1(f317(f317(f224(x60511),x60512),x60513))
% 92.29/92.10 [6052]~P107(x60521)+~P1(f317(f317(f225(x60521),x60523),x60522))+~P1(f317(f317(f224(x60521),x60522),x60523))
% 92.29/92.10 [6053]~P107(x60531)+~P1(f317(f317(f225(x60531),x60533),x60532))+~P1(f317(f317(f225(x60531),x60532),x60533))
% 92.29/92.10 [6054]~P108(x60541)+~P1(f317(f317(f225(x60541),x60543),x60542))+~P1(f317(f317(f225(x60541),x60542),x60543))
% 92.29/92.10 [6074]~E(x60742,x60743)+~E(x60741,x60742)+E(f280(a897,f277(a897),x60741,x60742),f317(f317(f299(a897),x60743),f178(f904(a897,a893))))
% 92.29/92.10 [6081]~E(f317(x60812,f864(x60812,x60813,x60811)),f72(a897))+E(f317(f317(f9(x60811,a897),x60812),x60813),f72(a897))+~P1(f317(f29(x60811),x60813))
% 92.29/92.10 [6082]~E(f317(x60822,f404(x60822,x60823,x60821)),f2(a897))+E(f317(f317(f6(x60821,a897),x60822),x60823),f2(a897))+~P1(f317(f29(x60821),x60823))
% 92.29/92.10 [6098]~P109(x60981)+~P1(f317(f317(f224(x60981),x60983),x60982))+P1(f317(f317(f319(x60981),x60982),f317(f273(x60981),x60983)))
% 92.29/92.10 [6099]~P109(x60991)+~P1(f317(f317(f225(x60991),x60993),x60992))+P1(f317(f317(f319(x60991),x60992),f317(f294(x60991),x60993)))
% 92.29/92.10 [6100]~P109(x61001)+~P1(f317(f317(f225(x61001),x61002),x61003))+P1(f317(f317(f319(x61001),x61002),f317(f272(x61001),x61003)))
% 92.29/92.10 [6101]~P109(x61011)+~P1(f317(f317(f224(x61011),x61012),x61013))+P1(f317(f317(f319(x61011),x61012),f317(f291(x61011),x61013)))
% 92.29/92.10 [6102]~P117(x61021)+~P1(f317(f317(f277(x61021),x61022),x61023))+P1(f317(f317(f277(x61021),x61022),f317(f73(x61021),x61023)))
% 92.29/92.10 [6103]~P126(x61031)+~P1(f317(f317(f277(x61031),x61032),x61033))+P1(f317(f317(f277(x61031),x61032),f317(f70(x61031),x61033)))
% 92.29/92.10 [6115]E(f317(x61151,f414(x61151,x61152,x61153)),f317(a102,f2(a897)))+~E(f317(f317(f6(x61153,a897),x61151),x61152),f317(a102,f2(a897)))+~P1(f317(f29(x61153),x61152))
% 92.29/92.10 [6198]~P5(x61981)+~P1(f317(f317(f319(x61981),x61983),x61982))+P1(f317(f317(f224(x61981),f33(x61981,x61982)),x61983))
% 92.29/92.10 [6219]~P1(f317(f317(f224(a897),x62191),x62193))+P1(f317(f317(f224(a897),x62191),x62192))+~P1(f317(f317(f224(a897),x62193),x62192))
% 92.29/92.10 [6220]~P1(f317(f317(f224(a1),x62201),x62203))+P1(f317(f317(f224(a1),x62201),x62202))+~P1(f317(f317(f224(a1),x62203),x62202))
% 92.29/92.10 [6221]~P1(f317(f317(f277(a897),x62211),x62213))+P1(f317(f317(f277(a897),x62211),x62212))+~P1(f317(f317(f277(a897),x62213),x62212))
% 92.29/92.10 [6241]~P109(x62411)+~P1(f317(f317(f319(x62411),x62413),f317(f273(x62411),x62412)))+P1(f317(f317(f224(x62411),x62412),x62413))
% 92.29/92.10 [6242]~P109(x62421)+~P1(f317(f317(f319(x62421),x62422),f317(f291(x62421),x62423)))+P1(f317(f317(f224(x62421),x62422),x62423))
% 92.29/92.10 [6243]~P109(x62431)+~P1(f317(f317(f319(x62431),x62433),f317(f294(x62431),x62432)))+P1(f317(f317(f225(x62431),x62432),x62433))
% 92.29/92.10 [6244]~P109(x62441)+~P1(f317(f317(f319(x62441),x62442),f317(f272(x62441),x62443)))+P1(f317(f317(f225(x62441),x62442),x62443))
% 92.29/92.10 [6245]~P126(x62451)+~P1(f317(f317(f277(x62451),x62452),f317(f70(x62451),x62453)))+P1(f317(f317(f277(x62451),x62452),x62453))
% 92.29/92.10 [6246]~P117(x62461)+~P1(f317(f317(f277(x62461),x62462),f317(f73(x62461),x62463)))+P1(f317(f317(f277(x62461),x62462),x62463))
% 92.29/92.10 [6321]~P1(f317(x63211,x63212))+P1(f317(x63211,f768(x63211)))+~P1(f317(f317(f319(x63213),x63212),f232(f904(x63213,a893))))
% 92.29/92.10 [6469]~P63(x64691)+P1(f317(f317(f225(x64691),f2(x64691)),f435(x64693,x64692,x64691)))+P1(f317(f317(f224(x64691),x64692),x64693))
% 92.29/92.10 [6470]~P64(x64701)+P1(f317(f317(f225(x64701),f2(x64701)),f745(x64703,x64702,x64701)))+P1(f317(f317(f224(x64701),x64702),x64703))
% 92.29/92.10 [6538]~P67(x65381)+~P1(f317(f317(f224(x65381),x65383),f317(f73(x65381),x65382)))+P1(f317(f317(f224(x65381),x65382),f317(f73(x65381),x65383)))
% 92.29/92.10 [6539]~P67(x65391)+~P1(f317(f317(f224(x65391),x65393),f317(f73(x65391),x65392)))+P1(f317(f317(f224(x65391),x65392),f317(f73(x65391),x65393)))
% 92.29/92.10 [6540]~P67(x65401)+~P1(f317(f317(f225(x65401),x65403),f317(f73(x65401),x65402)))+P1(f317(f317(f225(x65401),x65402),f317(f73(x65401),x65403)))
% 92.29/92.10 [6541]~P67(x65411)+~P1(f317(f317(f225(x65411),x65413),f317(f73(x65411),x65412)))+P1(f317(f317(f225(x65411),x65412),f317(f73(x65411),x65413)))
% 92.29/92.10 [6553]~P1(f317(f317(f225(a897),x65531),x65533))+~P1(f317(f317(f225(a897),x65533),x65532))+P1(f317(f317(f225(a897),f317(a102,x65531)),x65532))
% 92.29/92.10 [6584]~P110(x65841)+P1(f317(f317(f224(x65841),f317(f90(x65841),x65842)),f317(f90(x65841),x65843)))+~P1(f317(f317(f224(a897),x65842),x65843))
% 92.29/92.10 [6585]~P126(x65851)+P1(f317(f317(f224(x65851),f317(f93(x65851),x65852)),f317(f93(x65851),x65853)))+~P1(f317(f317(f224(a1),x65852),x65853))
% 92.29/92.10 [6586]~P110(x65861)+P1(f317(f317(f225(x65861),f317(f90(x65861),x65862)),f317(f90(x65861),x65863)))+~P1(f317(f317(f225(a897),x65862),x65863))
% 92.29/92.10 [6587]~P126(x65871)+P1(f317(f317(f225(x65871),f317(f93(x65871),x65872)),f317(f93(x65871),x65873)))+~P1(f317(f317(f225(a1),x65872),x65873))
% 92.29/92.10 [6588]~P110(x65881)+P1(f317(f317(f225(x65881),f317(f90(x65881),x65882)),f317(f90(x65881),x65883)))+~P1(f317(f317(f225(a897),x65882),x65883))
% 92.29/92.10 [6594]~P107(x65941)+E(f317(f317(f91(f904(x65941,a893)),f317(f272(x65941),x65942)),f317(f292(x65941,x65942),x65943)),f317(f272(x65941),x65943))+~P1(f317(f317(f224(x65941),x65942),x65943))
% 92.29/92.10 [6623]~P67(x66231)+~P1(f317(f317(f224(x66231),x66233),x66232))+P1(f317(f317(f224(x66231),f317(f73(x66231),x66232)),f317(f73(x66231),x66233)))
% 92.29/92.10 [6624]~P67(x66241)+~P1(f317(f317(f224(x66241),x66243),x66242))+P1(f317(f317(f224(x66241),f317(f73(x66241),x66242)),f317(f73(x66241),x66243)))
% 92.29/92.10 [6625]~P96(x66251)+~P1(f317(f317(f224(x66251),x66253),x66252))+P1(f317(f317(f224(x66251),f317(f73(x66251),x66252)),f317(f73(x66251),x66253)))
% 92.29/92.10 [6626]~P96(x66261)+~P1(f317(f317(f224(x66261),x66263),x66262))+P1(f317(f317(f224(x66261),f317(f73(x66261),x66262)),f317(f73(x66261),x66263)))
% 92.29/92.10 [6627]~P67(x66271)+~P1(f317(f317(f225(x66271),x66273),x66272))+P1(f317(f317(f225(x66271),f317(f73(x66271),x66272)),f317(f73(x66271),x66273)))
% 92.29/92.10 [6663]~P107(x66631)+E(f317(f317(f91(f904(x66631,a893)),f317(f272(x66631),x66632)),f293(x66631,x66632,x66633)),f317(f291(x66631),x66633))+~P1(f317(f317(f224(x66631),x66632),x66633))
% 92.29/92.10 [6664]~P107(x66641)+E(f317(f317(f91(f904(x66641,a893)),f317(f291(x66641),x66642)),f296(x66641,x66642,x66643)),f317(f272(x66641),x66643))+~P1(f317(f317(f225(x66641),x66642),x66643))
% 92.29/92.10 [6665]~P107(x66651)+E(f317(f317(f91(f904(x66651,a893)),f317(f291(x66651),x66652)),f295(x66651,x66652,x66653)),f317(f291(x66651),x66653))+~P1(f317(f317(f224(x66651),x66652),x66653))
% 92.29/92.10 [6699]~P107(x66991)+E(f317(f317(f91(f904(x66991,a893)),f317(f292(x66991,x66992),x66993)),f317(f273(x66991),x66993)),f317(f273(x66991),x66992))+~P1(f317(f317(f224(x66991),x66992),x66993))
% 92.29/92.10 [6860]~P107(x68601)+E(f317(f317(f91(f904(x68601,a893)),f296(x68601,x68602,x68603)),f317(f273(x68601),x68603)),f317(f294(x68601),x68602))+~P1(f317(f317(f225(x68601),x68602),x68603))
% 92.29/92.10 [6861]~P107(x68611)+E(f317(f317(f91(f904(x68611,a893)),f295(x68611,x68612,x68613)),f317(f294(x68611),x68613)),f317(f294(x68611),x68612))+~P1(f317(f317(f224(x68611),x68612),x68613))
% 92.29/92.10 [6862]~P107(x68621)+E(f317(f317(f91(f904(x68621,a893)),f293(x68621,x68622,x68623)),f317(f294(x68621),x68623)),f317(f273(x68621),x68622))+~P1(f317(f317(f224(x68621),x68622),x68623))
% 92.29/92.10 [6881]P1(f317(x68811,x68812))+~P1(f317(f317(f224(a897),x68812),x68813))+P1(f317(f317(f319(a897),f371(x68811,x68813)),f293(a897,f2(a897),x68813)))
% 92.29/92.10 [6915]E(x69151,x69152)+~E(f317(f317(f154(x69153),x69151),f633(x69153,x69152,x69151)),f317(f317(f154(x69153),x69152),f633(x69153,x69152,x69151)))+~E(f317(f179(f898(x69153)),x69151),f317(f179(f898(x69153)),x69152))
% 92.29/92.10 [6920]~E(x69203,f317(f317(f31(a897),x69201),x69202))+~P1(f317(f317(f225(a897),f2(a897)),x69202))+P1(f317(f317(f225(a897),x69201),f317(f317(f75(a897),x69202),f317(a102,x69203))))
% 92.29/92.10 [6936]~P1(f317(x69361,x69363))+~P1(f317(f317(f224(a897),x69363),x69362))+P1(f317(f317(f319(a897),f368(x69361,x69362)),f293(a897,f2(a897),x69362)))
% 92.29/92.10 [6975]~P1(f317(x69751,x69753))+P1(f317(x69751,f372(x69751,x69752)))+~P1(f317(f317(f319(a897),x69753),f293(a897,f2(a897),x69752)))
% 92.29/92.10 [6996]~P110(x69963)+~P1(f317(f317(f224(x69963),f317(f90(x69963),x69961)),f317(f90(x69963),x69962)))+P1(f317(f317(f224(a897),x69961),x69962))
% 92.29/92.10 [6997]~P126(x69973)+~P1(f317(f317(f224(x69973),f317(f93(x69973),x69971)),f317(f93(x69973),x69972)))+P1(f317(f317(f224(a1),x69971),x69972))
% 92.29/92.10 [6998]~P110(x69983)+~P1(f317(f317(f225(x69983),f317(f90(x69983),x69981)),f317(f90(x69983),x69982)))+P1(f317(f317(f225(a897),x69981),x69982))
% 92.29/92.10 [6999]~P110(x69993)+~P1(f317(f317(f225(x69993),f317(f90(x69993),x69991)),f317(f90(x69993),x69992)))+P1(f317(f317(f225(a897),x69991),x69992))
% 92.29/92.10 [7000]~P126(x70003)+~P1(f317(f317(f225(x70003),f317(f93(x70003),x70001)),f317(f93(x70003),x70002)))+P1(f317(f317(f225(a1),x70001),x70002))
% 92.29/92.10 [7018]~P110(x70181)+~P1(f317(f317(f225(x70181),f72(x70181)),x70182))+P1(f317(f317(f225(x70181),f72(x70181)),f317(f317(f234(x70181),x70182),f317(a102,x70183))))
% 92.29/92.10 [7021]~P67(x70211)+~P1(f317(f317(f224(x70211),f317(f73(x70211),x70213)),f317(f73(x70211),x70212)))+P1(f317(f317(f224(x70211),x70212),x70213))
% 92.29/92.10 [7022]~P96(x70221)+~P1(f317(f317(f224(x70221),f317(f73(x70221),x70223)),f317(f73(x70221),x70222)))+P1(f317(f317(f224(x70221),x70222),x70223))
% 92.29/92.10 [7023]~P67(x70231)+~P1(f317(f317(f225(x70231),f317(f73(x70231),x70233)),f317(f73(x70231),x70232)))+P1(f317(f317(f225(x70231),x70232),x70233))
% 92.29/92.10 [7047]P1(f317(x70471,x70472))+~P1(f317(x70471,f373(x70471,x70473)))+~P1(f317(f317(f319(a897),x70472),f293(a897,f2(a897),x70473)))
% 92.29/92.10 [7069]~P63(x70691)+P1(f317(f317(f225(x70691),f435(x70693,x70692,x70691)),f72(x70691)))+P1(f317(f317(f224(x70691),x70692),x70693))
% 92.29/92.10 [7089]~E(f41(a897,x70893,x70892),f41(a897,x70891,x70892))+E(f317(f317(f74(a897),x70891),f317(f317(f75(a897),x70892),f551(x70891,x70892,x70893))),x70893)+~P1(f317(f317(f224(a897),x70891),x70893))
% 92.29/92.10 [7144]E(f317(f317(f9(x71441,a897),x71442),x71443),f72(a897))+~P1(f317(f29(x71441),x71443))+P1(f317(f317(f319(x71441),f864(x71442,x71443,x71441)),x71443))
% 92.29/92.10 [7145]E(f317(f317(f6(x71451,a897),x71452),x71453),f2(a897))+~P1(f317(f29(x71451),x71453))+P1(f317(f317(f319(x71451),f404(x71452,x71453,x71451)),x71453))
% 92.29/92.10 [7167]~P107(x71671)+~P1(f317(f317(f224(x71671),x71672),x71673))+P1(f317(f317(f224(f904(x71671,a893)),f317(f272(x71671),x71672)),f317(f272(x71671),x71673)))
% 92.29/92.10 [7168]~P108(x71681)+~P1(f317(f317(f224(x71681),x71682),x71683))+P1(f317(f317(f224(f904(x71681,a893)),f317(f291(x71681),x71682)),f317(f291(x71681),x71683)))
% 92.29/92.10 [7169]~P108(x71691)+~P1(f317(f317(f224(x71691),x71693),x71692))+P1(f317(f317(f224(f904(x71691,a893)),f317(f273(x71691),x71692)),f317(f273(x71691),x71693)))
% 92.29/92.10 [7170]~P107(x71701)+~P1(f317(f317(f224(x71701),x71703),x71702))+P1(f317(f317(f224(f904(x71701,a893)),f317(f294(x71701),x71702)),f317(f294(x71701),x71703)))
% 92.29/92.10 [7171]~P107(x71711)+~P1(f317(f317(f225(x71711),x71712),x71713))+P1(f317(f317(f225(f904(x71711,a893)),f317(f272(x71711),x71712)),f317(f272(x71711),x71713)))
% 92.29/92.10 [7182]~P5(x71821)+P1(f317(f317(f224(x71821),x71822),f33(x71821,x71823)))+P1(f317(f317(f319(x71821),f481(x71823,x71822,x71821)),x71823))
% 92.29/92.10 [7188]~P67(x71881)+P1(f317(f317(f224(x71881),f317(f317(f23(x71881),x71882),x71883)),f2(x71881)))+~P1(f317(f317(f224(x71881),x71882),x71883))
% 92.29/92.10 [7189]~P67(x71891)+P1(f317(f317(f225(x71891),f317(f317(f23(x71891),x71892),x71893)),f2(x71891)))+~P1(f317(f317(f225(x71891),x71892),x71893))
% 92.29/92.10 [7231]P1(f317(x72311,x72312))+P1(f317(f317(f224(a897),f373(x72311,x72313)),x72313))+~P1(f317(f317(f319(a897),x72312),f293(a897,f2(a897),x72313)))
% 92.29/92.10 [7273]~E(f317(f317(f6(x72731,a897),x72732),x72733),f72(a897))+~P1(f317(f29(x72731),x72733))+P1(f317(f317(f319(x72731),f403(x72732,x72733,x72731)),x72733))
% 92.29/92.10 [7274]~P1(f317(x72741,x72743))+P1(f317(f317(f224(a897),f372(x72741,x72742)),x72742))+~P1(f317(f317(f319(a897),x72743),f293(a897,f2(a897),x72742)))
% 92.29/92.10 [7312]~P5(x73121)+P1(f317(f317(f319(x73121),f486(x73123,x73122,x73121)),x73122))+P1(f317(f317(f224(x73121),f32(x73121,x73122)),x73123))
% 92.29/92.10 [7346]~E(f317(f317(f6(x73461,a897),x73462),x73463),f317(a102,f2(a897)))+~P1(f317(f29(x73461),x73463))+P1(f317(f317(f319(x73461),f414(x73462,x73463,x73461)),x73463))
% 92.29/92.10 [7357]E(x73571,f2(a897))+P1(f317(x73572,f41(a897,x73573,x73571)))+P1(f317(f317(f225(a897),f862(x73571,x73573,x73572)),x73571))
% 92.29/92.10 [7469]~P1(f317(x74691,x74692))+P1(f317(x74691,f41(a897,x74692,x74693)))+P1(f317(f317(f225(a897),f862(x74693,x74692,x74691)),x74693))
% 92.29/92.10 [7582]E(x75821,f103(x75822))+~P1(f317(f317(f319(f898(x75822)),x75821),f151(x75822,x75823)))+P1(f317(f317(f319(x75822),f667(x75823,x75821,x75822)),x75823))
% 92.29/92.10 [7605]~P107(x76051)+E(f317(f317(f91(f904(x76051,a893)),f317(f317(f299(x76051),x76052),f178(f904(x76051,a893)))),f296(x76051,x76052,x76053)),f317(f292(x76051,x76052),x76053))+~P1(f317(f317(f225(x76051),x76052),x76053))
% 92.29/92.10 [7628]~P107(x76281)+E(f317(f317(f91(f904(x76281,a893)),f317(f317(f299(x76281),x76282),f178(f904(x76281,a893)))),f295(x76281,x76282,x76283)),f293(x76281,x76282,x76283))+~P1(f317(f317(f224(x76281),x76282),x76283))
% 92.29/92.10 [7739]~P107(x77391)+P1(f317(f317(f224(x77391),x77392),x77393))+~P1(f317(f317(f224(f904(x77391,a893)),f317(f294(x77391),x77393)),f317(f294(x77391),x77392)))
% 92.29/92.10 [7740]~P108(x77401)+P1(f317(f317(f224(x77401),x77402),x77403))+~P1(f317(f317(f224(f904(x77401,a893)),f317(f273(x77401),x77403)),f317(f273(x77401),x77402)))
% 92.29/92.10 [7741]~P107(x77411)+P1(f317(f317(f224(x77411),x77412),x77413))+~P1(f317(f317(f224(f904(x77411,a893)),f317(f272(x77411),x77412)),f317(f272(x77411),x77413)))
% 92.29/92.10 [7742]~P108(x77421)+P1(f317(f317(f224(x77421),x77422),x77423))+~P1(f317(f317(f224(f904(x77421,a893)),f317(f291(x77421),x77422)),f317(f291(x77421),x77423)))
% 92.29/92.10 [7743]~P107(x77431)+P1(f317(f317(f225(x77431),x77432),x77433))+~P1(f317(f317(f225(f904(x77431,a893)),f317(f272(x77431),x77432)),f317(f272(x77431),x77433)))
% 92.29/92.10 [7766]~P67(x77661)+~P1(f317(f317(f224(x77661),f317(f317(f23(x77661),x77662),x77663)),f2(x77661)))+P1(f317(f317(f224(x77661),x77662),x77663))
% 92.29/92.10 [7767]~P67(x77671)+~P1(f317(f317(f225(x77671),f317(f317(f23(x77671),x77672),x77673)),f2(x77671)))+P1(f317(f317(f225(x77671),x77672),x77673))
% 92.29/92.10 [7924]E(x79241,f2(a897))+~E(f317(f132(a897,a897,f74(a897),x79242),x79243),f2(a897))+~P1(f317(f317(f319(a897),x79241),f317(f162(a897),x79243)))
% 92.29/92.10 [7928]~P5(x79281)+~P1(f317(f317(f224(x79281),f486(x79283,x79282,x79281)),x79283))+P1(f317(f317(f224(x79281),f32(x79281,x79282)),x79283))
% 92.29/92.10 [8082]P1(f317(f317(f224(a1),f2(a1)),f859(x80821,x80822,x80823)))+P1(f317(f317(x80822,f317(f317(f31(a1),x80821),x80823)),f41(a1,x80821,x80823)))+~P1(f317(f317(f225(a1),f2(a1)),x80823))
% 92.29/92.10 [8170]E(x81701,x81702)+~E(f317(f179(f898(x81703)),x81701),f317(f179(f898(x81703)),x81702))+~P1(f317(f317(f247(x81703,x81703,a893),a314),f640(x81703,x81701,x81702)))
% 92.29/92.10 [8241]~P36(x82412,x82413)+E(x82411,f178(f904(x82412,a893)))+~P1(f317(f317(f224(f904(x82412,a893)),x82411),f317(f275(x82412,x82412,x82413),x82411)))
% 92.29/92.10 [8272]~P64(x82721)+~P1(f317(f317(f224(x82721),x82722),f317(f317(f74(x82721),x82723),f745(x82723,x82722,x82721))))+P1(f317(f317(f224(x82721),x82722),x82723))
% 92.29/92.10 [8307]P52(x83071,x83072,x83073)+P1(f317(f317(f319(x83071),f544(x83073,x83072,x83071)),x83072))+P1(f317(f317(f319(f903(x83071,x83071)),f542(x83073,x83072,x83071)),x83073))
% 92.29/92.10 [8328]P1(f317(f317(x83282,f317(f317(f31(a1),x83281),x83283)),f41(a1,x83281,x83283)))+~P1(f317(f317(f225(a1),f2(a1)),x83283))+P1(f317(f317(f225(a1),f859(x83281,x83282,x83283)),x83283))
% 92.29/92.10 [8353]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x83531)),f317(f292(a897,x83532),x83533)),f178(f904(a897,a893)))+P1(f317(f317(f225(a897),x83531),x83533))+P1(f317(f317(f225(a897),x83532),x83533))
% 92.29/92.10 [8464]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x84641)),f317(f292(a897,x84642),x84643)),f317(f317(f299(a897),f2(a897)),f178(f904(a897,a893))))+P1(f317(f317(f225(a897),x84641),x84643))+~P1(f317(f317(f225(a897),x84642),x84643))
% 92.29/92.10 [8478]~P107(x84781)+E(f139(x84781,x84781,f5(x84781),x84782,x84783),x84783)+~P1(f317(f317(f319(x84781),x84782),f317(f162(x84781),x84783)))
% 92.29/92.10 [8491]P24(x84911,x84911,x84912,x84913)+~P1(f317(f29(x84911),x84913))+~P1(f317(f317(f224(f904(x84911,a893)),x84913),f317(f300(x84911,x84911,x84912),x84913)))
% 92.29/92.10 [8517]E(f317(f317(f74(a1),f317(f317(f75(a1),x85171),f860(x85172,x85173,x85171))),f859(x85172,x85173,x85171)),x85172)+P1(f317(f317(x85173,f317(f317(f31(a1),x85172),x85171)),f41(a1,x85172,x85171)))+~P1(f317(f317(f225(a1),f2(a1)),x85171))
% 92.29/92.10 [8754]~P1(f317(f317(x87541,f860(x87542,x87541,x87543)),f859(x87542,x87541,x87543)))+P1(f317(f317(x87541,f317(f317(f31(a1),x87542),x87543)),f41(a1,x87542,x87543)))+~P1(f317(f317(f225(a1),f2(a1)),x87543))
% 92.29/92.10 [8836]P25(x88361,x88362,x88363,f232(f904(x88361,a893)),f232(f904(x88362,a893)))+~P24(x88361,x88362,x88363,f232(f904(x88361,a893)))+~E(f317(f300(x88361,x88362,x88363),f232(f904(x88361,a893))),f232(f904(x88362,a893)))
% 92.29/92.10 [8837]P25(x88371,x88372,x88373,f232(f904(x88371,a893)),f232(f904(x88372,a893)))+~P24(x88371,x88372,x88373,f232(f904(x88371,a893)))+~E(f317(f300(x88371,x88372,x88373),f232(f904(x88371,a893))),f232(f904(x88372,a893)))
% 92.29/92.10 [9653]~P1(f317(f29(x96531),x96532))+~P1(f317(f317(f319(x96531),x96533),x96532))+P1(f317(f317(f225(a897),f317(f30(x96531),f317(f317(f23(f904(x96531,a893)),x96532),f317(f317(f299(x96531),x96533),f178(f904(x96531,a893)))))),f317(f30(x96531),x96532)))
% 92.29/92.10 [10253]P52(x102531,x102532,x102533)+~P1(f317(f317(f247(x102531,x102531,a893),f317(f317(f7(x102531,f904(x102531,a893),f904(x102531,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x102531,a893),f904(x102531,a893)),x102531),f8(a893,a893,x102531)),f317(f317(f8(a893,f904(a893,a893),x102531),a315),f317(f317(f7(x102531,f904(x102531,a893),a893),f319(x102531)),x102532)))),f317(f317(f7(x102531,f904(x102531,a893),a893),f319(x102531)),x102532))),f542(x102533,x102532,x102531)))+P1(f317(f317(f319(x102531),f544(x102533,x102532,x102531)),x102532))
% 92.29/92.10 [5545]~P122(x55452)+E(x55451,f2(x55452))+E(f317(f317(f281(x55452),x55453),f317(f73(x55452),x55451)),f317(f73(x55452),f317(f317(f281(x55452),x55453),x55451)))
% 92.29/92.10 [5685]~E(x56853,f178(f904(x56851,a893)))+~E(x56852,f178(f904(x56851,a893)))+E(f317(f317(f91(f904(x56851,a893)),x56852),x56853),f178(f904(x56851,a893)))
% 92.29/92.10 [5742]~E(x57423,f2(a897))+~P1(f317(x57421,f2(a897)))+P1(f317(x57421,f317(f317(f31(a897),x57422),x57423)))
% 92.29/92.10 [5743]~E(x57433,f2(a897))+~P1(f317(x57431,f2(a897)))+P1(f317(x57431,f317(f317(f31(a897),x57432),x57433)))
% 92.29/92.10 [5895]~P64(x58952)+E(x58951,f2(x58952))+E(f317(f317(f281(x58952),f317(f70(x58952),x58953)),f317(f70(x58952),x58951)),f317(f70(x58952),f317(f317(f281(x58952),x58953),x58951)))
% 92.29/92.10 [5994]~P119(x59941)+~E(x59942,f72(x59941))+P1(f317(f317(f277(x59941),x59942),f317(f317(f234(x59941),x59942),x59943)))
% 92.29/92.10 [6015]~P3(x60151)+E(f317(f317(f75(x60151),x60152),f317(f317(f31(x60151),x60153),x60152)),x60153)+~P1(f317(f317(f277(x60151),x60152),x60153))
% 92.29/92.10 [6069]~P1(f317(f29(x60691),x60693))+E(f317(f30(x60691),f317(f317(f299(x60691),x60692),x60693)),f317(a102,f317(f30(x60691),x60693)))+P1(f317(f317(f319(x60691),x60692),x60693))
% 92.29/92.10 [6070]~P1(f317(f29(x60701),x60703))+E(f317(f30(x60701),f317(f317(f299(x60701),x60702),x60703)),f317(a102,f317(f30(x60701),x60703)))+P1(f317(f317(f319(x60701),x60702),x60703))
% 92.29/92.10 [6147]~E(x61472,f2(a897))+P1(f317(x61471,f2(a897)))+~P1(f317(x61471,f317(f317(f31(a897),x61473),x61472)))
% 92.29/92.10 [6164]~P1(f317(f29(x61641),x61643))+E(f317(f30(x61641),f317(f317(f299(x61641),x61642),x61643)),f317(f30(x61641),x61643))+~P1(f317(f317(f319(x61641),x61642),x61643))
% 92.29/92.10 [6200]~P1(f317(f29(x62001),x62003))+E(f317(f30(x62001),f317(f317(f299(x62001),x62002),x62003)),f317(f317(f74(a897),f72(a897)),f317(f30(x62001),x62003)))+P1(f317(f317(f319(x62001),x62002),x62003))
% 92.29/92.10 [6207]~P4(x62071)+E(f317(f317(f31(x62071),x62072),f317(f73(x62071),x62073)),f317(f73(x62071),f317(f317(f31(x62071),x62072),x62073)))+~P1(f317(f317(f277(x62071),x62073),x62072))
% 92.29/92.10 [6322]E(f317(f317(f74(a897),x63221),f499(x63221,x63222,x63223)),x63222)+~P1(f317(x63223,f2(a897)))+P1(f317(x63223,f317(f317(f23(a897),x63222),x63221)))
% 92.29/92.10 [6323]E(f317(f317(f74(a897),x63231),f520(x63231,x63232,x63233)),x63232)+~P1(f317(x63233,f2(a897)))+P1(f317(x63233,f317(f317(f23(a897),x63232),x63231)))
% 92.29/92.10 [6348]~P4(x63481)+E(f317(f317(f31(x63481),f317(f73(x63481),x63482)),x63483),f317(f73(x63481),f317(f317(f31(x63481),x63482),x63483)))+~P1(f317(f317(f277(x63481),x63483),x63482))
% 92.29/92.10 [6372]~P5(x63721)+~P1(f317(f29(x63721),x63723))+E(f317(f317(f59(x63721,x63721,f91(x63721)),x63722),x63723),f317(f317(f91(x63721),x63722),f32(x63721,x63723)))
% 92.29/92.10 [6373]~P5(x63731)+~P1(f317(f29(x63731),x63733))+E(f317(f317(f59(x63731,x63731,f92(x63731)),x63732),x63733),f317(f317(f92(x63731),x63732),f33(x63731,x63733)))
% 92.29/92.10 [6379]~P94(x63791)+~E(f317(f94(x63791),x63792),f317(f94(x63791),x63793))+P27(x63791,f317(f94(x63791),f317(f317(f74(a1),x63792),f317(f73(a1),x63793))))
% 92.29/92.10 [6389]~P140(x63891)+E(f317(f317(f23(x63891),f317(f90(x63891),x63892)),f317(f90(x63891),x63893)),f317(f90(x63891),f317(f317(f23(a897),x63892),x63893)))+~P1(f317(f317(f224(a897),x63893),x63892))
% 92.29/92.10 [6396]~P117(x63961)+~P1(f317(f317(f277(x63961),x63962),x63963))+P1(f317(f317(f277(x63961),f317(f73(x63961),x63962)),x63963))
% 92.29/92.10 [6397]~P126(x63971)+~P1(f317(f317(f277(x63971),x63972),x63973))+P1(f317(f317(f277(x63971),f317(f70(x63971),x63972)),x63973))
% 92.29/92.10 [6480]E(f317(f317(f74(a897),x64801),f499(x64801,x64802,x64803)),x64802)+P1(f317(f317(f225(a897),x64802),x64801))+P1(f317(x64803,f317(f317(f23(a897),x64802),x64801)))
% 92.29/92.10 [6481]E(f317(f317(f74(a897),x64811),f520(x64811,x64812,x64813)),x64812)+P1(f317(f317(f225(a897),x64812),x64811))+P1(f317(x64813,f317(f317(f23(a897),x64812),x64811)))
% 92.29/92.10 [6497]~P126(x64971)+E(f317(f317(f75(x64971),f317(f70(x64971),x64972)),x64973),f317(f70(x64971),f317(f317(f75(x64971),x64972),x64973)))+~P1(f317(f317(f224(x64971),f2(x64971)),x64973))
% 92.29/92.10 [6498]~P63(x64981)+E(f317(f317(f281(x64981),f317(f70(x64981),x64982)),x64983),f317(f70(x64981),f317(f317(f281(x64981),x64982),x64983)))+~P1(f317(f317(f225(x64981),f2(x64981)),x64983))
% 92.29/92.10 [6507]~P107(x65071)+~P1(f317(f29(x65071),x65073))+E(f317(f317(f59(x65071,x65071,f228(x65071)),x65072),x65073),f14(x65071,f317(f317(f299(x65071),x65072),x65073)))
% 92.29/92.10 [6508]~P107(x65081)+~P1(f317(f29(x65081),x65083))+E(f317(f317(f59(x65081,x65081,f223(x65081)),x65082),x65083),f15(x65081,f317(f317(f299(x65081),x65082),x65083)))
% 92.29/92.10 [6509]~P99(x65091)+~P1(f317(f29(x65091),x65093))+E(f317(f317(f59(x65091,x65091,f91(x65091)),x65092),x65093),f13(x65091,f317(f317(f299(x65091),x65092),x65093)))
% 92.29/92.10 [6510]~P99(x65101)+~P1(f317(f29(x65101),x65103))+E(f317(f317(f59(x65101,x65101,f92(x65101)),x65102),x65103),f10(x65101,f317(f317(f299(x65101),x65102),x65103)))
% 92.29/92.10 [6555]E(x65551,f103(x65552))+~E(f169(x65552,x65553),f103(f898(x65552)))+~P1(f317(f317(f319(f898(x65552)),x65551),f317(f162(f898(x65552)),x65553)))
% 92.29/92.10 [6574]~P119(x65741)+~P1(f317(f317(f225(a897),f2(a897)),x65743))+P1(f317(f317(f277(x65741),x65742),f317(f317(f234(x65741),x65742),x65743)))
% 92.29/92.10 [6602]~P1(f317(f127(x66021),x66023))+P1(f317(f317(f319(x66021),x66022),f317(f162(x66021),x66023)))+P1(f317(f127(x66021),f317(f317(f141(x66021),x66022),x66023)))
% 92.29/92.10 [6613]~P97(x66131)+~P1(f317(f29(x66131),x66133))+E(f317(f58(x66131,f75(x66131)),f317(f317(f299(x66131),x66132),x66133)),f317(f317(f59(x66131,x66131,f75(x66131)),x66132),x66133))
% 92.29/92.10 [6635]~P107(x66351)+~P1(f317(f29(x66351),x66353))+E(f11(x66351,f228(x66351),f317(f317(f299(x66351),x66352),x66353)),f317(f317(f59(x66351,x66351,f228(x66351)),x66352),x66353))
% 92.29/92.10 [6636]~P107(x66361)+~P1(f317(f29(x66361),x66363))+E(f12(x66361,f223(x66361),f317(f317(f299(x66361),x66362),x66363)),f317(f317(f59(x66361,x66361,f223(x66361)),x66362),x66363))
% 92.29/92.10 [6637]P1(f317(x66371,f2(a897)))+~P1(f317(f317(f225(a897),x66372),x66373))+~P1(f317(x66371,f317(f317(f23(a897),x66372),x66373)))
% 92.29/92.10 [6638]P1(f317(x66381,f2(a897)))+~P1(f317(f317(f225(a897),x66382),x66383))+~P1(f317(x66381,f317(f317(f23(a897),x66382),x66383)))
% 92.29/92.10 [6658]~P85(x66581)+P1(f317(f317(f224(x66581),x66582),x66583))+~P1(f317(f317(f224(x66581),f317(f70(x66581),x66582)),x66583))
% 92.29/92.10 [6659]~P85(x66591)+P1(f317(f317(f224(x66591),x66592),x66593))+~P1(f317(f317(f224(x66591),f317(f70(x66591),x66592)),x66593))
% 92.29/92.10 [6660]~P126(x66601)+P1(f317(f317(f225(x66601),x66602),x66603))+~P1(f317(f317(f225(x66601),f317(f70(x66601),x66602)),x66603))
% 92.29/92.10 [6661]~P126(x66611)+P1(f317(f317(f277(x66611),x66612),x66613))+~P1(f317(f317(f277(x66611),f317(f70(x66611),x66612)),x66613))
% 92.29/92.10 [6662]~P117(x66621)+P1(f317(f317(f277(x66621),x66622),x66623))+~P1(f317(f317(f277(x66621),f317(f73(x66621),x66622)),x66623))
% 92.29/92.10 [6679]E(x66791,f103(x66792))+E(f317(f131(x66792),f317(f317(f128(x66792),x66793),x66791)),f317(f317(f154(x66792),x66791),x66793))+~P1(f317(f317(f225(a897),x66793),f317(f179(f898(x66792)),x66791)))
% 92.29/92.10 [6734]~P1(f317(x67341,x67343))+P1(f317(x67341,f376(x67341,x67342)))+~P1(f317(f317(f319(a897),x67343),f317(f292(a897,f2(a897)),x67342)))
% 92.29/92.10 [6754]P1(f317(x67541,x67542))+~P1(f317(f317(f225(a897),x67542),x67543))+P1(f317(f317(f319(a897),f374(x67541,x67543)),f317(f292(a897,f2(a897)),x67543)))
% 92.29/92.10 [6769]~P110(x67691)+~P1(f317(f317(f224(x67691),f72(x67691)),x67692))+P1(f317(f317(f224(x67691),f72(x67691)),f317(f317(f234(x67691),x67692),x67693)))
% 92.29/92.10 [6771]~P110(x67711)+~P1(f317(f317(f224(x67711),f2(x67711)),x67712))+P1(f317(f317(f224(x67711),f2(x67711)),f317(f317(f234(x67711),x67712),x67713)))
% 92.29/92.10 [6773]~P110(x67731)+~P1(f317(f317(f225(x67731),f2(x67731)),x67732))+P1(f317(f317(f225(x67731),f2(x67731)),f317(f317(f234(x67731),x67732),x67733)))
% 92.29/92.10 [6798]~P1(f317(x67981,x67983))+~P1(f317(f317(f225(a897),x67983),x67982))+P1(f317(f317(f319(a897),f370(x67981,x67982)),f317(f292(a897,f2(a897)),x67982)))
% 92.29/92.10 [6805]P1(f317(f29(x68051),x68052))+~P1(f317(f29(x68051),x68053))+~P1(f317(f317(f224(f904(x68051,a893)),x68052),x68053))
% 92.29/92.10 [6806]P1(f317(f29(x68061),x68062))+~P1(f317(f29(x68061),x68063))+~P1(f317(f317(f224(f904(x68061,a893)),x68062),x68063))
% 92.29/92.10 [6813]~P1(f317(f317(f277(a897),x68131),x68132))+~P1(f317(f317(f277(a897),x68131),x68133))+P1(f317(f317(f277(a897),x68131),f317(f317(f23(a897),x68132),x68133)))
% 92.29/92.10 [6814]P1(f317(x68141,x68142))+~P1(f317(x68141,f375(x68141,x68143)))+~P1(f317(f317(f319(a897),x68142),f317(f292(a897,f2(a897)),x68143)))
% 92.29/92.10 [6827]E(x68271,f2(a897))+P1(f317(x68272,f856(x68271,x68273,x68272)))+~P1(f317(x68272,f317(f317(f31(a897),x68273),x68271)))
% 92.29/92.10 [6835]~P111(x68352)+E(x68351,f2(x68352))+~E(f317(f317(f74(x68352),f317(f317(f75(x68352),x68353),x68353)),f317(f317(f75(x68352),x68351),x68351)),f2(x68352))
% 92.29/92.10 [6836]~P111(x68362)+E(x68361,f2(x68362))+~E(f317(f317(f74(x68362),f317(f317(f75(x68362),x68361),x68361)),f317(f317(f75(x68362),x68363),x68363)),f2(x68362))
% 92.29/92.10 [6882]E(x68821,f2(a897))+~P1(f317(x68822,f854(x68821,x68823,x68822)))+P1(f317(x68822,f317(f317(f31(a897),x68823),x68821)))
% 92.29/92.10 [6887]~P107(x68871)+~P13(x68871,x68873)+P13(x68871,f317(f317(f138(x68871,x68871,f5(x68871)),x68872),x68873))
% 92.29/92.10 [6929]P1(f317(x69291,f856(x69292,x69293,x69291)))+P1(f317(x69291,f2(a897)))+~P1(f317(x69291,f317(f317(f31(a897),x69293),x69292)))
% 92.29/92.10 [6935]~P94(x69351)+E(f317(f94(x69351),x69352),f317(f94(x69351),x69353))+~P27(x69351,f317(f94(x69351),f317(f317(f74(a1),x69352),f317(f73(a1),x69353))))
% 92.29/92.10 [7003]E(x70031,f2(a1))+E(x70032,f2(a1))+~P1(f317(f45(x70032,x70032),f317(f317(f242(a1,a1),x70033),x70031)))
% 92.29/92.10 [7004]E(x70041,f72(a1))+E(x70042,f2(a1))+~P1(f317(f45(x70042,x70042),f317(f317(f242(a1,a1),x70041),x70043)))
% 92.29/92.10 [7020]P1(f317(x70201,x70202))+P1(f317(f317(f225(a897),f375(x70201,x70203)),x70203))+~P1(f317(f317(f319(a897),x70202),f317(f292(a897,f2(a897)),x70203)))
% 92.29/92.10 [7043]~P1(f317(x70431,f499(x70433,x70432,x70431)))+~P1(f317(x70431,f2(a897)))+P1(f317(x70431,f317(f317(f23(a897),x70432),x70433)))
% 92.29/92.10 [7044]~P1(f317(x70441,f520(x70443,x70442,x70441)))+~P1(f317(x70441,f2(a897)))+P1(f317(x70441,f317(f317(f23(a897),x70442),x70443)))
% 92.29/92.10 [7045]~P1(f317(x70451,f854(x70453,x70452,x70451)))+~P1(f317(x70451,f2(a897)))+P1(f317(x70451,f317(f317(f31(a897),x70452),x70453)))
% 92.29/92.10 [7065]~P1(f317(x70651,x70653))+P1(f317(f317(f225(a897),f376(x70651,x70652)),x70652))+~P1(f317(f317(f319(a897),x70653),f317(f292(a897,f2(a897)),x70652)))
% 92.29/92.10 [7066]E(f317(f317(f23(a897),f317(f317(f23(a897),x70661),x70662)),f317(f317(f23(a897),x70663),x70662)),f317(f317(f23(a897),x70661),x70663))+~P1(f317(f317(f224(a897),x70662),x70661))+~P1(f317(f317(f224(a897),x70662),x70663))
% 92.29/92.10 [7101]~P67(x71011)+~P1(f317(f317(f224(x71011),f317(f73(x71011),x71013)),x71012))+P1(f317(f317(f224(x71011),f317(f73(x71011),x71012)),x71013))
% 92.29/92.10 [7102]~P67(x71021)+~P1(f317(f317(f224(x71021),f317(f73(x71021),x71023)),x71022))+P1(f317(f317(f224(x71021),f317(f73(x71021),x71022)),x71023))
% 92.29/92.10 [7103]~P85(x71031)+~P1(f317(f317(f224(x71031),f317(f70(x71031),x71032)),x71033))+P1(f317(f317(f224(x71031),f317(f73(x71031),x71032)),x71033))
% 92.29/92.10 [7104]~P85(x71041)+~P1(f317(f317(f224(x71041),f317(f70(x71041),x71042)),x71043))+P1(f317(f317(f224(x71041),f317(f73(x71041),x71042)),x71043))
% 92.29/92.10 [7105]~P67(x71051)+~P1(f317(f317(f225(x71051),f317(f73(x71051),x71053)),x71052))+P1(f317(f317(f225(x71051),f317(f73(x71051),x71052)),x71053))
% 92.29/92.10 [7106]~P67(x71061)+~P1(f317(f317(f225(x71061),f317(f73(x71061),x71063)),x71062))+P1(f317(f317(f225(x71061),f317(f73(x71061),x71062)),x71063))
% 92.29/92.10 [7107]~P126(x71071)+~P1(f317(f317(f225(x71071),f317(f70(x71071),x71072)),x71073))+P1(f317(f317(f225(x71071),f317(f73(x71071),x71072)),x71073))
% 92.29/92.10 [7139]~P1(f317(x71393,f499(x71392,x71391,x71393)))+P1(f317(f317(f225(a897),x71391),x71392))+P1(f317(x71393,f317(f317(f23(a897),x71391),x71392)))
% 92.29/92.10 [7140]~P1(f317(x71403,f520(x71402,x71401,x71403)))+P1(f317(f317(f225(a897),x71401),x71402))+P1(f317(x71403,f317(f317(f23(a897),x71401),x71402)))
% 92.29/92.10 [7192]~E(f488(x71923,x71922,x71921),f489(x71923,x71922,x71921))+E(f317(f317(f92(f904(x71921,a893)),x71922),f32(f904(x71921,a893),x71923)),f178(f904(x71921,a893)))+P1(f317(f317(f319(f904(x71921,a893)),x71922),x71923))
% 92.29/92.10 [7200]~P1(f317(f29(x72001),x72003))+P1(f317(f29(x72001),f33(f904(x72001,a893),x72002)))+~P1(f317(f317(f319(f904(x72001,a893)),x72003),x72002))
% 92.29/92.10 [7260]~P107(x72601)+E(f317(f317(f91(f904(x72601,a893)),f317(f292(x72601,x72602),x72603)),f317(f317(f299(x72601),x72603),f178(f904(x72601,a893)))),f293(x72601,x72602,x72603))+~P1(f317(f317(f224(x72601),x72602),x72603))
% 92.29/92.10 [7263]E(x72631,f2(a897))+P1(f317(f317(f225(a897),f855(x72631,x72633,x72632)),x72631))+P1(f317(x72632,f317(f317(f31(a897),x72633),x72631)))
% 92.29/92.10 [7292]P1(f317(f317(f225(a897),f317(f179(f898(x72921)),x72922)),f762(x72923,x72921)))+~P1(f317(f29(f898(x72921)),x72923))+~P1(f317(f317(f319(f898(x72921)),x72922),x72923))
% 92.29/92.10 [7297]E(x72971,x72972)+~P1(f317(f317(f224(f904(x72973,a893)),x72971),x72972))+P1(f317(f317(f225(f904(x72973,a893)),x72971),x72972))
% 92.29/92.10 [7298]E(x72981,x72982)+~P1(f317(f317(f224(f904(x72983,a893)),x72981),x72982))+P1(f317(f317(f225(f904(x72983,a893)),x72981),x72982))
% 92.29/92.10 [7309]E(x73091,x73092)+~E(f317(f179(f898(x73093)),x73091),f317(f179(f898(x73093)),x73092))+P1(f317(f317(f225(a897),f633(x73093,x73091,x73092)),f317(f179(f898(x73093)),x73092)))
% 92.29/92.10 [7358]P8(x73581,x73582,x73583)+~E(f317(f254(x73581,x73581),x73583),x73582)+~E(f317(f317(f279(x73581,x73581,x73581),f317(f276(x73581,x73581),x73583)),x73583),x73583)
% 92.29/92.10 [7438]~P1(f317(x74381,f2(a897)))+P1(f317(f317(f225(a897),f855(x74383,x74382,x74381)),x74383))+P1(f317(x74381,f317(f317(f31(a897),x74382),x74383)))
% 92.29/92.10 [7448]~P107(x74481)+E(f317(f317(f91(f904(x74481,a893)),f296(x74481,x74482,x74483)),f317(f317(f299(x74481),x74483),f178(f904(x74481,a893)))),f295(x74481,x74482,x74483))+~P1(f317(f317(f225(x74481),x74482),x74483))
% 92.29/92.10 [7540]~P1(f317(f29(x75401),x75403))+P1(f317(f317(f224(a897),f317(f30(x75401),x75402)),f317(f30(x75401),x75403)))+~P1(f317(f317(f224(f904(x75401,a893)),x75402),x75403))
% 92.29/92.10 [7541]~P1(f317(f29(x75411),x75413))+P1(f317(f317(f225(a897),f317(f30(x75411),x75412)),f317(f30(x75411),x75413)))+~P1(f317(f317(f225(f904(x75411,a893)),x75412),x75413))
% 92.29/92.10 [7673]E(x76731,x76732)+~P1(f317(f317(f224(f904(x76733,a893)),x76732),x76731))+~P1(f317(f317(f224(f904(x76733,a893)),x76731),x76732))
% 92.29/92.10 [7674]E(x76741,x76742)+~P1(f317(f317(f224(f904(x76743,a893)),x76742),x76741))+~P1(f317(f317(f224(f904(x76743,a893)),x76741),x76742))
% 92.29/92.10 [7677]~P107(x76771)+P13(x76771,x76772)+~P13(x76771,f317(f317(f138(x76771,x76771,f5(x76771)),x76773),x76772))
% 92.29/92.10 [7748]~P1(f317(f317(f225(a897),x77483),x77482))+~P1(f317(f317(f225(a897),x77483),x77481))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x77481),x77482)),f317(f317(f23(a897),x77481),x77483)))
% 92.29/92.10 [7749]~P1(f317(f317(f224(a897),x77492),x77491))+~P1(f317(f317(f225(a897),x77491),x77493))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x77491),x77492)),f317(f317(f23(a897),x77493),x77492)))
% 92.29/92.10 [7764]~P1(f317(f317(f225(a1),x77642),f2(a1)))+~P1(f317(f317(f224(a1),x77643),x77641))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x77641),x77642)),f317(f317(f31(a1),x77643),x77642)))
% 92.29/92.10 [7780]~P1(f317(f317(f225(a897),f2(a897)),x77801))+~P1(f317(f317(f224(a897),x77802),x77803))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x77801),x77802)),f317(f317(f75(a897),x77801),x77803)))
% 92.29/92.10 [7781]~P1(f317(f317(f225(a897),f2(a897)),x77813))+~P1(f317(f317(f224(a897),x77813),x77812))+P1(f317(f317(f224(a897),f317(f317(f31(a897),x77811),x77812)),f317(f317(f31(a897),x77811),x77813)))
% 92.29/92.10 [7782]~P1(f317(f317(f225(a1),f2(a1)),x77822))+~P1(f317(f317(f224(a1),x77821),x77823))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x77821),x77822)),f317(f317(f31(a1),x77823),x77822)))
% 92.29/92.10 [7783]~P1(f317(f317(f225(a897),f2(a897)),x77831))+~P1(f317(f317(f225(a897),x77832),x77833))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77831),x77832)),f317(f317(f75(a897),x77831),x77833)))
% 92.29/92.10 [7784]~P1(f317(f317(f225(a897),f2(a897)),x77841))+~P1(f317(f317(f225(a897),x77842),x77843))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77841),x77842)),f317(f317(f75(a897),x77841),x77843)))
% 92.29/92.10 [7785]~P1(f317(f317(f225(a897),f2(a897)),x77852))+~P1(f317(f317(f225(a897),x77851),x77853))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77851),x77852)),f317(f317(f75(a897),x77853),x77852)))
% 92.29/92.10 [7786]~P1(f317(f317(f225(a897),f2(a897)),x77862))+~P1(f317(f317(f225(a897),x77861),x77863))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77861),x77862)),f317(f317(f75(a897),x77863),x77862)))
% 92.29/92.10 [7787]~P1(f317(f317(f225(a897),f2(a897)),x77871))+~P1(f317(f317(f225(a897),x77872),x77873))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77871),x77872)),f317(f317(f75(a897),x77871),x77873)))
% 92.29/92.10 [7788]~P1(f317(f317(f225(a1),f2(a1)),x77881))+~P1(f317(f317(f225(a1),x77882),x77883))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x77881),x77882)),f317(f317(f75(a1),x77881),x77883)))
% 92.29/92.10 [7789]~P1(f317(f317(f225(a897),f2(a897)),x77891))+~P1(f317(f317(f277(a897),x77892),x77893))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x77891),x77892)),f317(f317(f75(a897),x77891),x77893)))
% 92.29/92.10 [7837]E(x78371,f2(a897))+E(f317(f317(f74(a897),f317(f317(f75(a897),x78371),f854(x78371,x78372,x78373))),f855(x78371,x78372,x78373)),x78372)+P1(f317(x78373,f317(f317(f31(a897),x78372),x78371)))
% 92.29/92.10 [7897]E(f317(f317(f74(a897),f317(f317(f75(a897),x78971),f854(x78971,x78972,x78973))),f855(x78971,x78972,x78973)),x78972)+~P1(f317(x78973,f2(a897)))+P1(f317(x78973,f317(f317(f31(a897),x78972),x78971)))
% 92.29/92.10 [7915]~P1(f317(f29(x79151),x79153))+P1(f317(f317(f319(x79151),f877(x79152,x79153,x79151)),x79153))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x79151,a897),x79152),x79153)))
% 92.29/92.10 [7916]~P1(f317(f29(x79161),x79163))+P1(f317(f317(f319(x79161),f511(x79162,x79163,x79161)),x79163))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x79161,a897),x79162),x79163)))
% 92.29/92.10 [8016]E(x80161,f2(a897))+P1(f317(f317(f277(a897),x80162),x80163))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x80161),x80162)),f317(f317(f75(a897),x80161),x80163)))
% 92.29/92.10 [8206]E(x82061,f178(f904(x82062,a893)))+E(x82061,f317(f317(f299(x82062),x82063),f178(f904(x82062,a893))))+~P1(f317(f317(f224(f904(x82062,a893)),x82061),f317(f317(f299(x82062),x82063),f178(f904(x82062,a893)))))
% 92.29/92.10 [8230]~P107(x82301)+~P13(x82301,x82303)+P13(x82301,f317(f317(f128(x82301),f317(f179(f898(x82301)),f167(x82301,x82302,x82303))),x82303))
% 92.29/92.10 [8242]~P1(f317(f317(f225(a897),f72(a897)),x82423))+P1(f317(f317(f224(a897),x82421),x82422))+~P1(f317(f317(f277(a897),f317(f317(f234(a897),x82423),x82421)),f317(f317(f234(a897),x82423),x82422)))
% 92.29/92.10 [8243]~P1(f317(f317(f225(a897),f2(a897)),x82433))+P1(f317(f317(f224(a897),x82431),x82432))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x82433),x82431)),f317(f317(f75(a897),x82433),x82432)))
% 92.29/92.10 [8244]~P1(f317(f317(f225(a897),f2(a897)),x82443))+P1(f317(f317(f224(a897),x82441),x82442))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x82443),x82441)),f317(f317(f75(a897),x82443),x82442)))
% 92.29/92.10 [8245]~P1(f317(f317(f225(a897),f2(a897)),x82453))+P1(f317(f317(f224(a897),x82451),x82452))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x82451),x82453)),f317(f317(f75(a897),x82452),x82453)))
% 92.29/92.10 [8246]~P1(f317(f317(f225(a897),f2(a897)),x82463))+P1(f317(f317(f225(a897),x82461),x82462))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x82463),x82461)),f317(f317(f75(a897),x82463),x82462)))
% 92.29/92.10 [8247]~P1(f317(f317(f225(a897),f2(a897)),x82473))+P1(f317(f317(f225(a897),x82471),x82472))+~P1(f317(f317(f225(a897),f317(f317(f234(a897),x82473),x82471)),f317(f317(f234(a897),x82473),x82472)))
% 92.29/92.10 [8248]~P1(f317(f317(f225(a897),f2(a897)),x82483))+P1(f317(f317(f277(a897),x82481),x82482))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x82483),x82481)),f317(f317(f75(a897),x82483),x82482)))
% 92.29/92.10 [8249]~P1(f317(f317(f225(a897),f2(a897)),x82493))+P1(f317(f317(f277(a897),x82491),x82492))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x82493),x82491)),f317(f317(f75(a897),x82493),x82492)))
% 92.29/92.10 [8288]~E(f317(f317(f92(f904(x82881,a893)),f489(x82883,x82882,x82881)),f488(x82883,x82882,x82881)),f178(f904(x82881,a893)))+E(f317(f317(f92(f904(x82881,a893)),x82882),f32(f904(x82881,a893),x82883)),f178(f904(x82881,a893)))+P1(f317(f317(f319(f904(x82881,a893)),x82882),x82883))
% 92.29/92.10 [8301]E(x83011,f103(x83012))+~E(f317(f132(f898(x83012),f898(x83012),f124(x83012),f103(x83012)),x83013),f103(x83012))+~P1(f317(f317(f319(f898(x83012)),x83011),f317(f162(f898(x83012)),x83013)))
% 92.29/92.10 [8302]E(x83021,f103(x83022))+~E(f317(f132(f898(x83022),f898(x83022),f124(x83022),f103(x83022)),x83023),f103(x83022))+~P1(f317(f317(f319(f898(x83022)),x83021),f317(f162(f898(x83022)),x83023)))
% 92.29/92.10 [8358]E(x83581,f178(f904(f904(x83582,a893),a893)))+P1(f317(f317(f319(f904(x83582,a893)),f493(x83583,x83581,x83582)),x83581))+P1(f317(f317(f224(f904(x83582,a893)),f33(f904(x83582,a893),x83581)),x83583))
% 92.29/92.10 [8364]~P76(x83641)+~P77(x83641)+E(f317(f317(f9(a1,x83641),f317(f317(f8(a897,x83641,a1),x83642),a95)),f317(f300(a897,a1,f90(a1)),x83643)),f317(f317(f9(a897,x83641),x83642),x83643))
% 92.29/92.10 [8365]~P76(x83651)+~P77(x83651)+E(f317(f317(f6(a1,x83651),f317(f317(f8(a897,x83651,a1),x83652),a95)),f317(f300(a897,a1,f90(a1)),x83653)),f317(f317(f6(a897,x83651),x83652),x83653))
% 92.29/92.10 [8407]~P1(f317(f29(x84071),x84073))+~P1(f317(f317(f225(a897),f2(a897)),f317(x84072,f877(x84072,x84073,x84071))))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x84071,a897),x84072),x84073)))
% 92.29/92.10 [8408]~P1(f317(f29(x84081),x84083))+~P1(f317(f317(f225(a897),f2(a897)),f317(x84082,f511(x84082,x84083,x84081))))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x84081,a897),x84082),x84083)))
% 92.29/92.10 [8444]~P62(x84442)+E(x84441,f72(x84442))+E(f317(f317(f281(x84442),f317(f317(f23(x84442),f317(f317(f234(x84442),x84441),x84443)),f72(x84442))),f317(f317(f23(x84442),x84441),f72(x84442))),f317(f317(f6(a897,x84442),f317(f234(x84442),x84441)),f317(f292(a897,f2(a897)),x84443)))
% 92.29/92.10 [8502]E(x85021,f2(a897))+~P1(f317(x85023,f317(f317(f31(a897),x85022),x85021)))+P1(f317(f317(f225(a897),x85022),f317(f317(f75(a897),x85021),f317(a102,f856(x85021,x85022,x85023)))))
% 92.29/92.10 [8521]P1(f317(x85211,f2(a897)))+~P1(f317(x85211,f317(f317(f31(a897),x85212),x85213)))+P1(f317(f317(f225(a897),x85212),f317(f317(f75(a897),x85213),f317(a102,f856(x85213,x85212,x85211)))))
% 92.29/92.10 [8559]E(x85591,f2(a897))+~P1(f317(x85593,f317(f317(f31(a897),x85592),x85591)))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x85591),f856(x85591,x85592,x85593))),x85592))
% 92.29/92.10 [8590]P1(f317(x85901,f2(a897)))+~P1(f317(x85901,f317(f317(f31(a897),x85903),x85902)))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x85902),f856(x85902,x85903,x85901))),x85903))
% 92.29/92.10 [8598]~P107(x85981)+E(f317(f317(f138(x85981,x85981,f5(x85981)),x85982),x85983),f139(x85981,x85981,f5(x85981),x85982,x85983))+P1(f317(f317(f319(x85981),x85982),f317(f162(x85981),x85983)))
% 92.29/92.10 [8633]~E(f317(x86333,f553(x86332,x86333,x86331)),f317(x86333,f556(x86332,x86333,x86331)))+~P59(x86331,f317(x86333,f554(x86332,x86333,x86331)))+P59(x86331,f317(f317(f35(x86332,f904(x86331,f904(x86331,a893))),f232(f904(x86332,a893))),x86333))
% 92.29/92.10 [8642]E(x86421,f178(f904(f904(x86422,a893),a893)))+~P1(f317(f317(f224(f904(x86422,a893)),f493(x86423,x86421,x86422)),x86423))+P1(f317(f317(f224(f904(x86422,a893)),f33(f904(x86422,a893),x86421)),x86423))
% 92.29/92.10 [8702]~P64(x87021)+~P1(f317(f317(f225(x87021),x87022),x87023))+P1(f317(f317(f225(x87021),x87022),f317(f317(f281(x87021),f317(f317(f74(x87021),x87022),x87023)),f317(f317(f74(x87021),f72(x87021)),f72(x87021)))))
% 92.29/92.10 [8760]~P1(f317(f317(x87601,f885(x87601,x87603,x87602)),f886(x87601,x87603,x87602)))+P1(f317(f317(x87601,x87602),x87603))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x87602),x87603)))
% 92.29/92.10 [8761]~P1(f317(f317(x87611,f887(x87611,x87613,x87612)),f888(x87611,x87613,x87612)))+P1(f317(f317(x87611,x87612),x87613))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x87612),x87613)))
% 92.29/92.10 [8762]~P1(f317(f317(x87621,f889(x87621,x87623,x87622)),f890(x87621,x87623,x87622)))+P1(f317(f317(x87621,x87622),x87623))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x87622),x87623)))
% 92.29/92.10 [8763]~P1(f317(f317(x87631,f458(x87631,x87633,x87632)),f461(x87631,x87633,x87632)))+P1(f317(f317(x87631,x87632),x87633))+~P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),x87632),x87633)))
% 92.29/92.10 [8764]~P1(f317(f317(x87641,f650(x87641,x87643,x87642)),f652(x87641,x87643,x87642)))+P1(f317(f317(x87641,x87642),x87643))+~P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),x87642),x87643)))
% 92.29/92.10 [8765]~P1(f317(f317(x87651,f750(x87651,x87653,x87652)),f751(x87651,x87653,x87652)))+P1(f317(f317(x87651,x87652),x87653))+~P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),x87652),x87653)))
% 92.29/92.10 [9038]P1(f317(f317(x90381,x90382),x90383))+P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),f458(x90381,x90383,x90382)),f461(x90381,x90383,x90382))))+~P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),x90382),x90383)))
% 92.29/92.10 [9039]P1(f317(f317(x90391,x90392),x90393))+P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),f885(x90391,x90393,x90392)),f886(x90391,x90393,x90392))))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x90392),x90393)))
% 92.29/92.10 [9040]P1(f317(f317(x90401,x90402),x90403))+P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),f887(x90401,x90403,x90402)),f888(x90401,x90403,x90402))))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x90402),x90403)))
% 92.29/92.10 [9041]P1(f317(f317(x90411,x90412),x90413))+P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),f889(x90411,x90413,x90412)),f890(x90411,x90413,x90412))))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x90412),x90413)))
% 92.29/92.10 [9042]P1(f317(f317(x90421,x90422),x90423))+P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),f650(x90421,x90423,x90422)),f652(x90421,x90423,x90422))))+~P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),x90422),x90423)))
% 92.29/92.10 [9043]P1(f317(f317(x90431,x90432),x90433))+P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),f750(x90431,x90433,x90432)),f751(x90431,x90433,x90432))))+~P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),x90432),x90433)))
% 92.29/92.10 [9381]~P1(f317(f29(x93811),x93813))+P1(f317(f317(f319(f903(f904(x93811,a893),f904(x93811,a893))),f317(f317(f242(f904(x93811,a893),f904(x93811,a893)),x93812),x93813)),f304(x93811)))+~P1(f317(f317(f225(f904(x93811,a893)),x93812),x93813))
% 92.29/92.10 [9456]~P59(x94561,f317(x94563,f554(x94562,x94563,x94561)))+P59(x94561,f317(f317(f35(x94562,f904(x94561,f904(x94561,a893))),f232(f904(x94562,a893))),x94563))+~E(f317(f317(f92(f904(x94561,a893)),f239(x94561,x94561,f317(x94563,f553(x94562,x94563,x94561)))),f240(x94561,x94561,f317(x94563,f556(x94562,x94563,x94561)))),f178(f904(x94561,a893)))
% 92.29/92.10 [9666]P52(x96661,x96662,x96663)+P1(f317(f317(f319(f903(x96661,x96661)),f542(x96663,x96662,x96661)),x96663))+~P1(f317(f317(f319(f903(x96661,x96661)),f317(f317(f242(x96661,x96661),f544(x96663,x96662,x96661)),f544(x96663,x96662,x96661))),x96663))
% 92.29/92.10 [10256]P52(x102561,x102562,x102563)+~P1(f317(f317(f247(x102561,x102561,a893),f317(f317(f7(x102561,f904(x102561,a893),f904(x102561,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x102561,a893),f904(x102561,a893)),x102561),f8(a893,a893,x102561)),f317(f317(f8(a893,f904(a893,a893),x102561),a315),f317(f317(f7(x102561,f904(x102561,a893),a893),f319(x102561)),x102562)))),f317(f317(f7(x102561,f904(x102561,a893),a893),f319(x102561)),x102562))),f542(x102563,x102562,x102561)))+~P1(f317(f317(f319(f903(x102561,x102561)),f317(f317(f242(x102561,x102561),f544(x102563,x102562,x102561)),f544(x102563,x102562,x102561))),x102563))
% 92.29/92.10 [5725]~P3(x57252)+E(x57251,f2(x57252))+E(f317(f317(f31(x57252),f317(f317(f75(x57252),x57253),x57251)),x57251),x57253)
% 92.29/92.10 [5726]~P3(x57262)+E(x57261,f2(x57262))+E(f317(f317(f31(x57262),f317(f317(f75(x57262),x57261),x57263)),x57261),x57263)
% 92.29/92.10 [6390]~P3(x63901)+E(f317(f317(f75(x63901),f317(f317(f31(x63901),x63902),x63903)),x63903),x63902)+~P1(f317(f317(f277(x63901),x63903),x63902))
% 92.29/92.10 [6554]~P77(x65541)+~E(f317(x65542,f2(a897)),f2(x65541))+E(f317(f317(f6(a897,x65541),x65542),f317(f292(a897,f317(a102,f2(a897))),x65543)),f317(f317(f6(a897,x65541),x65542),f317(f292(a897,f2(a897)),x65543)))
% 92.29/92.10 [6692]~P3(x66922)+E(x66921,f2(x66922))+E(f317(f317(f31(x66922),f317(f317(f74(x66922),x66923),x66921)),x66921),f317(f317(f74(x66922),f317(f317(f31(x66922),x66923),x66921)),f72(x66922)))
% 92.29/92.10 [6693]~P3(x66932)+E(x66931,f2(x66932))+E(f317(f317(f31(x66932),f317(f317(f74(x66932),x66931),x66933)),x66931),f317(f317(f74(x66932),f317(f317(f31(x66932),x66933),x66931)),f72(x66932)))
% 92.29/92.10 [6918]~P1(f317(x69183,f2(a1)))+P1(f317(f317(f224(a897),x69181),x69182))+P1(f317(x69183,f317(f90(a1),f317(f317(f23(a897),x69182),x69181))))
% 92.29/92.10 [7026]P1(f317(f317(f225(a897),x70262),x70261))+P1(f317(f317(f224(a897),x70261),x70262))+P1(f317(x70263,f317(f90(a1),f317(f317(f23(a897),x70262),x70261))))
% 92.29/92.10 [7100]E(f317(f317(f74(a897),f317(f94(a897),x71001)),f317(f317(f74(a897),f317(f94(a897),x71002)),x71003)),f317(f317(f74(a897),f317(f94(a897),x71001)),x71003))+P1(f317(a183,f317(f94(a1),x71001)))+~P1(f317(a183,f317(f94(a1),x71002)))
% 92.29/92.10 [7179]~E(x71792,f317(f317(f31(a897),x71793),x71791))+~P1(f317(f317(f225(a897),f2(a897)),x71791))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x71791),x71792)),x71793))
% 92.29/92.10 [7294]~P1(f317(f29(x72941),x72943))+~P1(f317(f29(x72941),x72942))+P1(f317(f29(x72941),f317(f317(f23(f904(x72941,a893)),x72942),x72943)))
% 92.29/92.10 [7295]~P1(f317(f29(x72951),x72953))+~P1(f317(f29(x72951),x72952))+P1(f317(f29(x72951),f317(f317(f91(f904(x72951,a893)),x72952),x72953)))
% 92.29/92.10 [7296]~P1(f317(f29(x72961),x72963))+~P1(f317(f29(x72961),x72962))+P1(f317(f29(x72961),f317(f317(f91(f904(x72961,a893)),x72962),x72963)))
% 92.29/92.10 [7343]~P37(x73431,x73433)+~P37(x73431,x73432)+P37(x73431,f317(f317(f92(f904(f903(x73431,x73431),a893)),x73432),x73433))
% 92.29/92.10 [7344]~P51(x73441,x73443)+~P51(x73441,x73442)+P51(x73441,f317(f317(f91(f904(f903(x73441,x73441),a893)),x73442),x73443))
% 92.29/92.10 [7345]~P51(x73451,x73453)+~P51(x73451,x73452)+P51(x73451,f317(f317(f92(f904(f903(x73451,x73451),a893)),x73452),x73453))
% 92.29/92.10 [7588]~P107(x75881)+~P1(f317(f29(x75881),x75882))+E(f129(x75881,f317(f317(f23(f904(x75881,a893)),x75882),f317(f317(f299(x75881),x75883),f178(f904(x75881,a893))))),f160(x75881,x75883,f129(x75881,x75882)))
% 92.29/92.10 [7653]P1(f317(x76531,f2(a1)))+~P1(f317(f317(f225(a897),x76532),x76533))+~P1(f317(x76531,f317(f90(a1),f317(f317(f23(a897),x76532),x76533))))
% 92.29/92.10 [7671]~P1(f317(f29(x76711),x76712))+E(f317(f30(x76711),f317(f317(f23(f904(x76711,a893)),x76712),f317(f317(f299(x76711),x76713),f178(f904(x76711,a893))))),f317(f30(x76711),x76712))+P1(f317(f317(f319(x76711),x76713),x76712))
% 92.29/92.10 [7804]~P110(x78041)+~P1(f317(f317(f225(x78041),f72(x78041)),x78042))+P1(f317(f317(f225(x78041),f72(x78041)),f317(f317(f75(x78041),x78042),f317(f317(f234(x78041),x78042),x78043))))
% 92.29/92.10 [7847]~P1(f317(f29(x78471),x78473))+E(f317(f317(f23(a897),f317(f30(x78471),x78472)),f317(f30(x78471),x78473)),f317(f30(x78471),f317(f317(f23(f904(x78471,a893)),x78472),x78473)))+~P1(f317(f317(f224(f904(x78471,a893)),x78473),x78472))
% 92.29/92.10 [7905]~P1(f317(f317(f224(a897),x79052),x79053))+~P1(f317(f317(f224(a897),x79051),f317(f317(f23(a897),x79053),x79052)))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x79051),x79052)),x79053))
% 92.29/92.10 [7959]P1(f317(f29(x79591),x79592))+~P1(f317(f29(x79591),x79593))+~P1(f317(f29(x79591),f317(f317(f23(f904(x79591,a893)),x79592),x79593)))
% 92.29/92.10 [7964]~P1(f317(f29(x79641),x79642))+E(f317(f30(x79641),f317(f317(f23(f904(x79641,a893)),x79642),f317(f317(f299(x79641),x79643),f178(f904(x79641,a893))))),f317(f317(f23(a897),f317(f30(x79641),x79642)),f72(a897)))+~P1(f317(f317(f319(x79641),x79643),x79642))
% 92.29/92.10 [7965]~P1(f317(f29(x79651),x79652))+E(f317(f30(x79651),f317(f317(f23(f904(x79651,a893)),x79652),f317(f317(f299(x79651),x79653),f178(f904(x79651,a893))))),f317(f317(f23(a897),f317(f30(x79651),x79652)),f72(a897)))+~P1(f317(f317(f319(x79651),x79653),x79652))
% 92.29/92.10 [8041]P59(x80411,x80412)+~P59(x80411,x80413)+~P1(f317(f317(f224(f904(x80411,f904(x80411,a893))),x80412),x80413))
% 92.29/92.10 [8081]~P1(f317(f317(f224(a897),x80813),x80812))+P1(f317(f317(f224(a897),x80811),f317(f317(f23(a897),x80812),x80813)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x80811),x80813)),x80812))
% 92.29/92.10 [8099]P36(x80991,x80992)+~P36(x80991,x80993)+~P1(f317(f317(f224(f904(f903(x80991,x80991),a893)),x80992),x80993))
% 92.29/92.10 [8100]P57(x81001,x81002)+~P57(x81001,x81003)+~P1(f317(f317(f224(f904(f903(x81001,x81001),a893)),x81002),x81003))
% 92.29/92.10 [8101]P38(x81011,x81012)+~P38(x81011,x81013)+~P1(f317(f317(f224(f904(f903(x81011,x81011),a893)),x81012),x81013))
% 92.29/92.10 [8335]~P110(x83351)+~P1(f317(f317(f225(x83351),f72(x83351)),x83352))+P1(f317(f317(f225(x83351),f317(f317(f234(x83351),x83352),x83353)),f317(f317(f75(x83351),x83352),f317(f317(f234(x83351),x83352),x83353))))
% 92.29/92.10 [8426]~P1(f317(x84261,f2(a1)))+~P1(f317(x84261,f317(f317(f23(a1),f317(f90(a1),x84262)),f317(f90(a1),x84263))))+P1(f317(x84261,f317(f90(a1),f317(f317(f23(a897),x84262),x84263))))
% 92.29/92.10 [8441]~P1(f317(f317(f224(a897),x84413),x84412))+P1(f317(x84411,f317(f317(f23(a1),f317(f90(a1),x84412)),f317(f90(a1),x84413))))+~P1(f317(x84411,f317(f90(a1),f317(f317(f23(a897),x84412),x84413))))
% 92.29/92.10 [8461]P1(f317(f317(f225(a897),x84611),x84612))+~P1(f317(x84613,f317(f317(f23(a1),f317(f90(a1),x84611)),f317(f90(a1),x84612))))+P1(f317(x84613,f317(f90(a1),f317(f317(f23(a897),x84611),x84612))))
% 92.29/92.10 [8514]~P111(x85142)+E(x85141,f2(x85142))+P1(f317(f317(f225(x85142),f2(x85142)),f317(f317(f74(x85142),f317(f317(f75(x85142),x85143),x85143)),f317(f317(f75(x85142),x85141),x85141))))
% 92.29/92.10 [8515]~P111(x85152)+E(x85151,f2(x85152))+P1(f317(f317(f225(x85152),f2(x85152)),f317(f317(f74(x85152),f317(f317(f75(x85152),x85151),x85151)),f317(f317(f75(x85152),x85153),x85153))))
% 92.29/92.10 [8615]~P1(f317(f317(f225(a897),f2(a897)),x86151))+~P1(f317(f317(f225(a1),x86152),x86153))+P1(f317(f317(f225(a1),f317(f317(f75(a1),f317(f90(a1),x86151)),x86152)),f317(f317(f75(a1),f317(f90(a1),x86151)),x86153)))
% 92.29/92.10 [8671]E(f317(f317(f92(f904(x86711,a893)),x86712),f32(f904(x86711,a893),x86713)),f178(f904(x86711,a893)))+P1(f317(f317(f319(f904(x86711,a893)),x86712),x86713))+P1(f317(f317(f319(f904(x86711,a893)),f489(x86713,x86712,x86711)),f317(f317(f299(f904(x86711,a893)),x86712),x86713)))
% 92.29/92.10 [8672]E(f317(f317(f92(f904(x86721,a893)),x86722),f32(f904(x86721,a893),x86723)),f178(f904(x86721,a893)))+P1(f317(f317(f319(f904(x86721,a893)),x86722),x86723))+P1(f317(f317(f319(f904(x86721,a893)),f488(x86723,x86722,x86721)),f317(f317(f299(f904(x86721,a893)),x86722),x86723)))
% 92.29/92.10 [8701]E(x87011,x87012)+~E(f317(f179(f898(x87013)),x87011),f317(f179(f898(x87013)),x87012))+P1(f317(f317(f319(f903(x87013,x87013)),f640(x87013,x87011,x87012)),f317(f162(f903(x87013,x87013)),f317(f317(f171(x87013,x87013),x87012),x87011))))
% 92.29/92.10 [8951]E(f297(x89511,x89512),f297(x89511,x89513))+~P1(f317(f317(f224(f904(f903(x89511,x89511),a893)),x89513),f297(x89511,x89512)))+~P1(f317(f317(f224(f904(f903(x89511,x89511),a893)),x89512),x89513))
% 92.29/92.10 [9018]~P52(x90181,f232(f904(x90181,a893)),x90183)+P1(f317(f317(f224(f904(f903(f898(x90181),f898(x90181)),a893)),f147(x90181,x90182)),f148(x90181,x90183)))+~P1(f317(f317(f224(f904(f903(x90181,x90181),a893)),x90182),x90183))
% 92.29/92.10 [9215]P36(x92151,x92152)+~P1(f317(f317(f319(x92151),x92153),f601(x92152,x92151)))+P1(f317(f317(f319(f903(x92151,x92151)),f317(f317(f242(x92151,x92151),f614(x92152,x92151,x92153)),x92153)),x92152))
% 92.29/92.10 [9250]~P1(f317(f29(x92501),x92502))+P1(f317(f29(f904(x92501,a893)),f317(f317(f56(x92501),x92502),x92503)))+~P1(f317(f317(f224(f904(f903(x92501,x92501),a893)),x92503),f317(f317(f244(x92501,x92501),x92502),f317(f16(f904(x92501,a893),x92501),x92502))))
% 92.29/92.10 [9286]P52(x92861,x92862,x92863)+P1(f317(f317(f319(x92861),f502(x92863,x92862,x92861)),x92862))+~P1(f317(f317(f224(f904(f903(x92861,x92861),a893)),x92863),f317(f317(f244(x92861,x92861),x92862),f317(f16(f904(x92861,a893),x92861),x92862))))
% 92.29/92.10 [9287]P52(x92871,x92872,x92873)+P1(f317(f317(f319(x92871),f514(x92872,x92873,x92871)),x92872))+~P1(f317(f317(f224(f904(f903(x92871,x92871),a893)),x92873),f317(f317(f244(x92871,x92871),x92872),f317(f16(f904(x92871,a893),x92871),x92872))))
% 92.29/92.10 [9322]~P64(x93221)+~P1(f317(f317(f225(x93221),x93222),x93223))+P1(f317(f317(f225(x93221),f317(f317(f281(x93221),f317(f317(f74(x93221),x93222),x93223)),f317(f317(f74(x93221),f72(x93221)),f72(x93221)))),x93223))
% 92.29/92.10 [9353]~P63(x93531)+P1(f317(f317(f224(x93531),x93532),x93533))+~P1(f317(f317(f224(x93531),f317(f317(f75(x93531),f435(x93533,x93532,x93531)),x93532)),x93533))
% 92.29/92.10 [9491]E(f317(f179(f898(f898(x94911))),f317(f126(f898(x94911),f317(f317(f8(a897,a893,f898(x94911)),f317(f225(a897),x94912)),f179(f898(x94911)))),f169(x94911,x94913))),f317(f179(f898(x94911)),f317(f317(f154(f898(x94911)),x94913),x94912)))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x94911),a897),f179(f898(x94911))),x94913)))+~P1(f317(f317(f225(a897),x94912),f317(f179(f898(f898(x94911))),x94913)))
% 92.29/92.10 [9614]~P36(x96141,x96142)+P26(x96141,f317(f317(f242(f904(f903(x96141,x96141),a893),f904(f903(x96141,x96141),a893)),x96142),x96143))+~P1(f317(f317(f224(f904(f903(x96141,x96141),a893)),f317(f317(f279(x96141,x96141,x96141),x96142),x96143)),x96142))
% 92.29/92.10 [9619]E(f317(f317(f144(f898(x96191),x96191),f317(f317(f7(f898(x96191),a897,x96191),f154(x96191)),x96192)),f317(f126(f898(x96191),f317(f317(f8(a897,a893,f898(x96191)),f317(f225(a897),x96192)),f179(f898(x96191)))),f169(x96191,x96193))),f317(f317(f154(f898(x96191)),x96193),x96192))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x96191),a897),f179(f898(x96191))),x96193)))+~P1(f317(f317(f225(a897),x96192),f317(f179(f898(f898(x96191))),x96193)))
% 92.29/92.10 [9754]P52(x97541,x97542,x97543)+~P1(f317(f317(f319(f903(x97541,x97541)),f317(f317(f242(x97541,x97541),f502(x97543,x97542,x97541)),f502(x97543,x97542,x97541))),x97543))+~P1(f317(f317(f224(f904(f903(x97541,x97541),a893)),x97543),f317(f317(f244(x97541,x97541),x97542),f317(f16(f904(x97541,a893),x97541),x97542))))
% 92.29/92.10 [9755]P52(x97551,x97552,x97553)+~P1(f317(f317(f319(f903(x97551,x97551)),f317(f317(f242(x97551,x97551),f514(x97552,x97553,x97551)),f514(x97552,x97553,x97551))),x97553))+~P1(f317(f317(f224(f904(f903(x97551,x97551),a893)),x97553),f317(f317(f244(x97551,x97551),x97552),f317(f16(f904(x97551,a893),x97551),x97552))))
% 92.29/92.10 [9923]~P140(x99231)+~P124(x99231)+E(f317(f317(f281(x99231),f317(f93(x99231),f317(f317(f67(f903(a1,a1),a1,x99232,f241(a1,a1)),f202(x99232)),x99233))),f317(f93(x99231),f317(f317(f67(f903(a1,a1),a1,x99232,f246(a1,a1)),f202(x99232)),x99233))),f212(x99232,x99231,x99233))
% 92.29/92.10 [10126]~E(x101263,f2(a897))+~E(f317(f179(f898(x101261)),f317(f317(f154(f898(x101261)),x101262),f689(x101263,x101261,x101262))),x101263)+E(f317(f317(f144(a897,f898(x101261)),f317(f317(f7(a897,f898(a897),f898(x101261)),f317(f317(f8(f904(a897,x101261),f904(f898(a897),f898(x101261)),a897),f144(a897,x101261)),f317(f7(a897,a897,x101261),f317(f317(f8(f898(x101261),f904(a897,x101261),a897),f154(x101261)),f317(f154(f898(x101261)),x101262))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101261))),x101262))))),f129(a897,f317(f292(a897,f2(a897)),x101263))),f169(x101261,x101262))
% 92.29/92.10 [10127]E(x101271,f103(f898(x101272)))+~E(f317(f179(f898(x101272)),f317(f317(f154(f898(x101272)),x101271),f689(x101273,x101272,x101271))),x101273)+E(f317(f317(f144(a897,f898(x101272)),f317(f317(f7(a897,f898(a897),f898(x101272)),f317(f317(f8(f904(a897,x101272),f904(f898(a897),f898(x101272)),a897),f144(a897,x101272)),f317(f7(a897,a897,x101272),f317(f317(f8(f898(x101272),f904(a897,x101272),a897),f154(x101272)),f317(f154(f898(x101272)),x101271))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101272))),x101271))))),f129(a897,f317(f292(a897,f2(a897)),x101273))),f169(x101272,x101271))
% 92.29/92.10 [10128]~E(x101283,f2(a897))+E(f317(f317(f144(a897,f898(x101281)),f317(f317(f7(a897,f898(a897),f898(x101281)),f317(f317(f8(f904(a897,x101281),f904(f898(a897),f898(x101281)),a897),f144(a897,x101281)),f317(f7(a897,a897,x101281),f317(f317(f8(f898(x101281),f904(a897,x101281),a897),f154(x101281)),f317(f154(f898(x101281)),x101282))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101281))),x101282))))),f129(a897,f317(f292(a897,f2(a897)),x101283))),f169(x101281,x101282))+P1(f317(f317(f225(a897),f689(x101283,x101281,x101282)),f317(f179(f898(f898(x101281))),x101282)))
% 92.29/92.10 [10129]E(x101291,f103(f898(x101292)))+E(f317(f317(f144(a897,f898(x101292)),f317(f317(f7(a897,f898(a897),f898(x101292)),f317(f317(f8(f904(a897,x101292),f904(f898(a897),f898(x101292)),a897),f144(a897,x101292)),f317(f7(a897,a897,x101292),f317(f317(f8(f898(x101292),f904(a897,x101292),a897),f154(x101292)),f317(f154(f898(x101292)),x101291))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101292))),x101291))))),f129(a897,f317(f292(a897,f2(a897)),x101293))),f169(x101292,x101291))+P1(f317(f317(f225(a897),f689(x101293,x101292,x101291)),f317(f179(f898(f898(x101292))),x101291)))
% 92.29/92.10 [7844]E(f317(f317(f74(a897),f317(f94(a897),x78441)),f317(f317(f74(a897),f317(f94(a897),x78442)),x78443)),f317(f317(f74(a897),f317(f94(a897),f317(f317(f74(a1),x78441),x78442))),x78443))+P1(f317(a183,f317(f94(a1),x78441)))+P1(f317(a183,f317(f94(a1),x78442)))
% 92.29/92.10 [8607]~P1(f317(f29(x86071),x86072))+~P1(f317(f317(f319(x86071),x86073),x86072))+E(f317(a102,f317(f30(x86071),f317(f317(f23(f904(x86071,a893)),x86072),f317(f317(f299(x86071),x86073),f178(f904(x86071,a893)))))),f317(f30(x86071),x86072))
% 92.29/92.10 [8623]~P1(f317(f29(x86231),x86232))+~P1(f317(f317(f319(x86231),x86233),x86232))+E(f317(f317(f74(a897),f72(a897)),f317(f30(x86231),f317(f317(f23(f904(x86231,a893)),x86232),f317(f317(f299(x86231),x86233),f178(f904(x86231,a893)))))),f317(f30(x86231),x86232))
% 92.29/92.10 [8710]~P107(x87101)+~P1(f317(f29(x87101),x87103))+E(f317(f317(f138(x87101,x87101,f5(x87101)),x87102),f129(x87101,f317(f317(f23(f904(x87101,a893)),x87103),f317(f317(f299(x87101),x87102),f178(f904(x87101,a893)))))),f129(x87101,f317(f317(f299(x87101),x87102),x87103)))
% 92.29/92.10 [8875]~P1(f317(f29(x88751),x88753))+~P1(f317(f29(x88751),x88752))+E(f317(f317(f74(a897),f317(f30(x88751),f317(f317(f91(f904(x88751,a893)),x88752),x88753))),f317(f30(x88751),f317(f317(f92(f904(x88751,a893)),x88752),x88753))),f317(f317(f74(a897),f317(f30(x88751),x88752)),f317(f30(x88751),x88753)))
% 92.29/92.10 [8876]~P1(f317(f29(x88761),x88763))+~P1(f317(f29(x88761),x88762))+E(f317(f317(f74(a897),f317(f30(x88761),f317(f317(f91(f904(x88761,a893)),x88762),x88763))),f317(f30(x88761),f317(f317(f92(f904(x88761,a893)),x88762),x88763))),f317(f317(f74(a897),f317(f30(x88761),x88762)),f317(f30(x88761),x88763)))
% 92.29/92.10 [10075]~P24(x100751,f904(f904(x100751,a893),a893),f317(f317(f7(x100751,f904(f903(x100751,x100751),a893),f904(f904(x100751,a893),a893)),f317(f317(f8(f904(x100751,a893),f904(f904(f903(x100751,x100751),a893),f904(f904(x100751,a893),a893)),x100751),f56(x100751)),f317(f317(f7(x100751,f904(x100751,a893),f904(x100751,a893)),f299(x100751)),f178(f904(x100751,a893))))),x100753),x100752)+~P1(f317(f29(x100751),x100752))+E(f317(f30(f904(x100751,a893)),f317(f317(f56(x100751),x100752),x100753)),f317(f30(x100751),x100752))
% 92.29/92.10 [8113]~P94(x81131)+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81133)))+E(f317(f317(f234(x81131),x81132),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x81133),x81133)),a87))),f72(x81131))
% 92.29/92.10 [8207]~P94(x82071)+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x82073)))+E(f317(f317(f234(x82071),f317(f94(x82071),x82072)),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x82073),x82073)),a87))),f72(x82071))
% 92.29/92.10 [9596]~P94(x95961)+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95963)))+E(f317(f317(f234(x95961),x95962),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x95963),x95963)),a87))),f317(f317(f80(x95961,x95961),f317(f317(f234(x95961),x95962),f317(f94(a897),x95963))),f317(f317(f18(x95961,x95961,x95961),f317(f317(f8(x95961,f904(x95961,x95961),x95961),f75(x95961)),f317(f75(x95961),x95962))),f5(x95961))))
% 92.29/92.10 [9665]~P94(x96651)+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x96653)))+E(f317(f317(f234(x96651),f317(f94(x96651),x96652)),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x96653),x96653)),a87))),f317(f317(f80(x96651,x96651),f317(f317(f234(x96651),f317(f94(x96651),x96652)),f317(f94(a897),x96653))),f317(f317(f18(x96651,x96651,x96651),f317(f317(f8(x96651,f904(x96651,x96651),x96651),f75(x96651)),f317(f75(x96651),f317(f94(x96651),x96652)))),f5(x96651))))
% 92.29/92.10 [9985]~P1(f317(f127(x99851),x99853))+~P1(f317(f317(f319(x99851),x99852),f317(f162(x99851),x99853)))+E(f317(f317(f128(x99851),f317(f179(f898(x99851)),f167(x99851,f317(f317(f8(a893,a893,x99851),a312),f317(f317(f7(x99851,x99851,a893),a314),x99852)),f317(f158(x99851),x99853)))),f317(f158(x99851),x99853)),f317(f317(f141(x99851),x99852),f317(f158(x99851),f167(x99851,f317(f317(f8(a893,a893,x99851),a312),f317(f317(f7(x99851,x99851,a893),a314),x99852)),x99853))))
% 92.29/92.10 [10045]P1(f317(f317(f224(f904(f903(x100451,x100451),a893)),f297(x100451,x100452)),x100453))+~P1(f317(f317(f224(f904(f903(x100451,x100451),a893)),f297(x100451,f178(f904(f903(x100451,x100451),a893)))),x100453))+~P1(f317(f317(f224(f904(f903(x100451,x100451),a893)),f317(f317(f279(x100451,x100451,x100451),f317(f317(f92(f904(f903(x100451,x100451),a893)),f297(x100451,x100452)),x100453)),x100452)),x100453))
% 92.29/92.10 [9903]~P1(f317(f29(x99031),f317(f252(x99031),x99033)))+~P1(f317(f29(x99031),f317(f252(x99031),x99032)))+P1(f317(f29(x99031),f317(f252(x99031),f317(f317(f18(x99031,a893,a893),f317(f317(f8(a893,f904(a893,a893),x99031),a316),x99032)),x99033))))
% 92.29/92.10 [10191]P1(f317(f317(f224(f904(f903(x101911,x101911),a893)),f317(f317(f279(x101911,x101911,x101911),x101912),f297(x101911,x101912))),x101913))+~P1(f317(f317(f224(f904(f903(x101911,x101911),a893)),x101912),x101913))+~P1(f317(f317(f224(f904(f903(x101911,x101911),a893)),f317(f317(f279(x101911,x101911,x101911),f317(f317(f92(f904(f903(x101911,x101911),a893)),f317(f317(f279(x101911,x101911,x101911),x101912),f297(x101911,x101912))),x101913)),x101912)),x101913))
% 92.29/92.10 [10142]~P126(x101422)+E(x101421,f2(x101422))+~E(f317(f317(f74(x101422),f317(f317(f234(x101422),x101423),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101422),x101421),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101422))
% 92.29/92.10 [10143]~P126(x101432)+E(x101431,f2(x101432))+~E(f317(f317(f74(x101432),f317(f317(f234(x101432),x101431),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101432),x101433),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101432))
% 92.29/92.10 [10148]~P1(f317(f127(x101481),x101483))+~P1(f317(f317(f319(x101481),x101482),f317(f162(x101481),x101483)))+E(f317(f158(x101481),f317(f161(x101481),f317(f317(f128(x101481),f317(f179(f898(x101481)),f167(x101481,f317(f317(f8(a893,a893,x101481),a312),f317(f317(f7(x101481,x101481,a893),a314),x101482)),x101483))),x101483))),f167(x101481,f317(f317(f8(a893,a893,x101481),a312),f317(f317(f7(x101481,x101481,a893),a314),x101482)),f317(f158(x101481),x101483)))
% 92.29/92.10 [10236]~P126(x102362)+E(x102361,f2(x102362))+P1(f317(f317(f225(x102362),f2(x102362)),f317(f317(f74(x102362),f317(f317(f234(x102362),x102363),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102362),x102361),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 92.29/92.10 [10237]~P126(x102372)+E(x102371,f2(x102372))+P1(f317(f317(f225(x102372),f2(x102372)),f317(f317(f74(x102372),f317(f317(f234(x102372),x102371),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102372),x102373),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 92.29/92.10 [10298]~P126(x102981)+P1(f317(f317(f224(x102981),f2(x102981)),x102982))+~P1(f317(f317(f224(x102981),f2(x102981)),f317(f317(f234(x102981),x102982),f317(a102,f317(f317(f75(a897),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102983)))))
% 92.29/92.10 [5024]~E(x50242,f84(x50243,x50241))+P1(f317(x50241,x50242))+~P1(f317(x50241,x50244))
% 92.29/92.10 [5270]E(f63(x52703,x52702,x52704),x52702)+E(x52701,f716(x52702,x52703,x52704))+~P1(f317(x52704,x52701))
% 92.29/92.10 [6614]E(f63(x66141,x66142,x66143),f79(x66141,x66143))+~E(f753(x66142,x66141,x66143,x66144),x66144)+~P1(f317(x66143,x66144))
% 92.29/92.10 [6828]~P36(x68282,x68284)+~P36(x68281,x68283)+P36(f903(x68281,x68282),f310(x68281,x68282,x68283,x68284))
% 92.29/92.10 [6829]~P37(x68292,x68294)+~P37(x68291,x68293)+P37(f903(x68291,x68292),f310(x68291,x68292,x68293,x68294))
% 92.29/92.10 [5210]~P7(x52104,x52101)+~E(f317(x52101,x52102),f317(x52101,x52103))+P1(f317(f317(x52101,x52102),x52103))
% 92.29/92.10 [5369]~P7(x53694,x53691)+E(f317(x53691,x53692),f317(x53691,x53693))+~P1(f317(f317(x53691,x53692),x53693))
% 92.29/92.10 [5370]~P15(x53704,x53701)+E(f317(x53701,x53702),f317(x53701,x53703))+~P1(f317(f317(x53701,x53702),x53703))
% 92.29/92.10 [5464]~P18(x54643,x54644,x54641)+E(f317(x54641,x54642),f317(f58(x54643,x54644),x54642))+~P1(f317(f29(x54643),x54642))
% 92.29/92.10 [5465]~P9(x54653,x54654,x54651)+E(f317(x54651,x54652),f317(f58(x54653,x54654),x54652))+~P1(f317(f29(x54653),x54652))
% 92.29/92.10 [5592]~P7(x55924,x55921)+~P1(f317(f317(x55921,x55923),x55922))+P1(f317(f317(x55921,x55922),x55923))
% 92.29/92.10 [5593]~P50(x55934,x55931)+~P1(f317(f317(x55931,x55933),x55932))+P1(f317(f317(x55931,x55932),x55933))
% 92.29/92.10 [5594]~P15(x55944,x55941)+~P1(f317(f317(x55941,x55943),x55942))+P1(f317(f317(x55941,x55942),x55943))
% 92.29/92.10 [5595]~P15(x55953,x55951)+P1(f317(f317(x55951,x55952),x55952))+~P1(f317(f317(x55951,x55954),x55952))
% 92.29/92.10 [5596]~P15(x55963,x55961)+P1(f317(f317(x55961,x55962),x55962))+~P1(f317(f317(x55961,x55962),x55964))
% 92.29/92.10 [5665]E(x56651,x56652)+~E(f317(f241(x56653,x56654),x56651),f317(f241(x56653,x56654),x56652))+~E(f317(f246(x56653,x56654),x56651),f317(f246(x56653,x56654),x56652))
% 92.29/92.10 [5666]E(x56661,x56662)+~E(f317(f241(x56663,x56664),x56661),f317(f241(x56663,x56664),x56662))+~E(f317(f246(x56663,x56664),x56661),f317(f246(x56663,x56664),x56662))
% 92.29/92.10 [5694]E(x56941,x56942)+~P1(f317(f44(x56943,x56944),x56942))+~P1(f317(f44(x56943,x56944),x56941))
% 92.29/92.10 [5894]~P77(x58942)+E(f221(x58941,x58942,x58943,x58944),f2(x58942))+P1(f317(f29(x58941),x58944))
% 92.29/92.10 [5942]~P7(x59423,x59422)+~P1(f317(x59421,x59424))+P1(f317(x59421,f800(x59421,x59422,x59423)))
% 92.29/92.10 [6038]~P1(f317(f305(x60381,x60382),x60384))+P1(f317(f305(x60381,x60382),x60383))+~P1(f317(f317(x60382,x60383),x60384))
% 92.29/92.10 [6039]~P1(f317(f305(x60391,x60392),x60394))+P1(f317(f305(x60391,x60392),x60393))+~P1(f317(f317(x60392,x60393),x60394))
% 92.29/92.10 [6040]~P1(f317(f305(x60401,x60402),x60404))+P1(f317(f305(x60401,x60402),x60403))+~P1(f317(f317(x60402,x60403),x60404))
% 92.29/92.10 [6865]~P28(x68651,x68653,x68654)+P1(f317(x68651,x68652))+~P1(f317(f317(f319(a1),x68652),f293(a1,x68653,x68654)))
% 92.29/92.10 [7062]~P7(x70621,x70623)+~P1(f317(x70622,x70624))+P1(f317(f317(f319(x70621),f800(x70622,x70623,x70621)),f260(x70621,x70623)))
% 92.29/92.10 [7954]E(x79541,f2(a897))+~P1(f317(x79542,x79543))+P1(f317(x79542,f747(x79542,x79543,x79541,x79544)))
% 92.29/92.10 [8036]~P107(x80362)+~P1(f317(f127(x80361),x80364))+P1(f317(f127(x80361),f140(x80361,x80362,x80363,x80364)))
% 92.29/92.10 [8080]E(f63(x80801,x80802,x80803),f79(x80801,x80803))+~P1(f317(x80803,x80804))+P1(f317(x80803,f753(x80802,x80801,x80803,x80804)))
% 92.29/92.10 [8261]~P1(f317(f29(x82612),x82614))+~P1(f317(f29(x82611),x82613))+P1(f317(f29(f902(x82611,x82612)),f303(x82611,x82612,x82613,x82614)))
% 92.29/92.10 [8262]~P1(f317(f29(x82622),x82624))+~P1(f317(f29(x82621),x82623))+P1(f317(f29(f902(x82621,x82622)),f303(x82621,x82622,x82623,x82624)))
% 92.29/92.10 [8263]~P1(f317(f127(x82632),x82634))+~P1(f317(f127(x82631),x82633))+P1(f317(f127(f903(x82631,x82632)),f55(x82631,x82632,x82633,x82634)))
% 92.29/92.10 [8266]P1(f317(f317(f319(f898(x82661)),f317(f317(f124(x82661),x82662),x82663)),f151(x82661,x82664)))+~P1(f317(f317(f319(f898(x82661)),x82663),f151(x82661,x82664)))+~P1(f317(f317(f319(f898(x82661)),x82662),f151(x82661,x82664)))
% 92.29/92.10 [8545]E(x85451,f2(a897))+P1(f317(x85452,x85453))+~P1(f317(x85452,f749(x85452,x85453,x85451,x85454)))
% 92.29/92.10 [8582]~P107(x85823)+~P1(f317(f127(x85821),f140(x85821,x85823,x85824,x85822)))+P1(f317(f127(x85821),x85822))
% 92.29/92.10 [8864]~P1(f317(f317(f319(f903(x88641,x88641)),f317(f317(f242(x88641,x88641),x88642),x88644)),f297(x88641,x88643)))+P1(f317(f317(f319(x88641),x88642),f306(x88641,x88643)))+~P1(f317(f317(f319(x88641),x88644),f306(x88641,x88643)))
% 92.29/92.10 [8865]~P1(f317(f317(f319(f903(x88651,x88651)),f317(f317(f242(x88651,x88651),x88652),x88654)),f297(x88651,x88653)))+P1(f317(f317(f319(x88651),x88652),f306(x88651,x88653)))+~P1(f317(f317(f319(x88651),x88654),f306(x88651,x88653)))
% 92.29/92.10 [5192]~P76(x51922)+E(f317(f317(f9(x51921,x51922),x51923),x51924),f72(x51922))+P1(f317(f29(x51921),x51924))
% 92.29/92.10 [5193]~P76(x51932)+E(f317(f317(f9(x51931,x51932),x51933),x51934),f72(x51932))+P1(f317(f29(x51931),x51934))
% 92.29/92.10 [5194]~P76(x51942)+E(f317(f317(f9(x51941,x51942),x51943),x51944),f72(x51942))+P1(f317(f29(x51941),x51944))
% 92.29/92.10 [5195]~P77(x51952)+E(f317(f317(f6(x51951,x51952),x51953),x51954),f2(x51952))+P1(f317(f29(x51951),x51954))
% 92.29/92.10 [5196]~P77(x51962)+E(f317(f317(f6(x51961,x51962),x51963),x51964),f2(x51962))+P1(f317(f29(x51961),x51964))
% 92.29/92.10 [5197]~P77(x51972)+E(f317(f317(f6(x51971,x51972),x51973),x51974),f2(x51972))+P1(f317(f29(x51971),x51974))
% 92.29/92.10 [5331]~P70(x53313)+E(x53311,x53312)+~E(f317(f317(f74(x53313),x53314),x53311),f317(f317(f74(x53313),x53314),x53312))
% 92.29/92.10 [5332]~P70(x53323)+E(x53321,x53322)+~E(f317(f317(f74(x53323),x53324),x53321),f317(f317(f74(x53323),x53324),x53322))
% 92.29/92.10 [5333]~P71(x53333)+E(x53331,x53332)+~E(f317(f317(f74(x53333),x53334),x53331),f317(f317(f74(x53333),x53334),x53332))
% 92.29/92.10 [5334]~P70(x53343)+E(x53341,x53342)+~E(f317(f317(f74(x53343),x53341),x53344),f317(f317(f74(x53343),x53342),x53344))
% 92.29/92.10 [5335]~P70(x53353)+E(x53351,x53352)+~E(f317(f317(f74(x53353),x53351),x53354),f317(f317(f74(x53353),x53352),x53354))
% 92.29/92.10 [5431]~P121(x54311)+~E(x54313,f317(f317(f75(x54311),x54312),x54314))+P1(f317(f317(f277(x54311),x54312),x54313))
% 92.29/92.10 [5459]~P5(x54593)+E(x54591,f178(f904(x54592,a893)))+E(f317(f317(f35(x54592,x54593),x54591),f317(f16(x54593,x54592),x54594)),x54594)
% 92.29/92.10 [5460]~P5(x54603)+E(x54601,f178(f904(x54602,a893)))+E(f317(f317(f36(x54602,x54603),x54601),f317(f16(x54603,x54602),x54604)),x54604)
% 92.29/92.10 [5680]~P108(x56803)+E(x56801,x56802)+~E(f293(x56803,x56804,x56801),f317(f317(f299(x56803),x56802),f178(f904(x56803,a893))))
% 92.29/92.10 [5681]~P108(x56813)+E(x56811,x56812)+~E(f293(x56813,x56811,x56812),f317(f317(f299(x56813),x56814),f178(f904(x56813,a893))))
% 92.29/92.10 [5741]~P34(x57413,x57411,x57414)+P34(x57413,x57411,f317(f317(f141(x57413),x57412),x57414))+P1(f317(x57411,x57412))
% 92.29/92.10 [5843]~P30(x58431,x58432,x58434)+~P1(f317(x58432,x58433))+P30(x58431,x58432,f317(f317(f141(x58431),x58433),x58434))
% 92.29/92.10 [5995]P1(f317(x59951,x59952))+~P1(f317(f238(x59953,x59951),x59954))+~P1(f317(f317(f319(x59953),x59952),x59954))
% 92.29/92.10 [6004]~P30(x60041,x60042,x60044)+~P30(x60041,x60042,x60043)+P30(x60041,x60042,f317(f317(f124(x60041),x60043),x60044))
% 92.29/92.10 [6019]P32(x60191,x60192,x60193)+~P32(x60191,x60192,f317(f317(f141(x60191),x60194),x60193))+P1(f317(x60192,x60194))
% 92.29/92.10 [6020]P34(x60201,x60202,x60203)+~P34(x60201,x60202,f317(f317(f141(x60201),x60204),x60203))+P1(f317(x60202,x60204))
% 92.29/92.10 [6095]P32(x60951,x60952,x60953)+P32(x60951,x60952,x60954)+~P32(x60951,x60952,f317(f317(f124(x60951),x60954),x60953))
% 92.29/92.10 [6116]~P77(x61161)+E(f317(f317(f6(a897,x61161),x61162),f317(f292(a897,x61163),f317(a102,x61164))),f2(x61161))+~P1(f317(f317(f225(a897),x61164),x61163))
% 92.29/92.10 [6121]~P4(x61211)+~E(f41(x61211,x61212,x61213),f41(x61211,x61214,x61213))+E(f41(x61211,f317(f73(x61211),x61212),x61213),f41(x61211,f317(f73(x61211),x61214),x61213))
% 92.29/92.10 [6189]P1(f317(x61891,x61892))+~E(f317(f126(x61893,x61891),x61894),x61894)+~P1(f317(f317(f319(x61893),x61892),f317(f162(x61893),x61894)))
% 92.29/92.10 [6209]~E(f317(f317(f74(a897),x62093),x62092),f317(f317(f74(a897),x62091),x62094))+~P1(f317(f317(f225(a897),x62093),x62094))+P1(f317(f317(f225(a897),x62091),x62092))
% 92.29/92.10 [6213]P32(x62131,x62132,x62133)+~P1(f317(x62132,x62134))+~P1(f317(f317(f319(x62131),x62134),f317(f162(x62131),x62133)))
% 92.29/92.10 [6214]P32(x62141,x62142,x62143)+~P1(f317(x62142,x62144))+~P1(f317(f317(f319(x62141),x62144),f317(f162(x62141),x62143)))
% 92.29/92.10 [6215]P32(x62151,x62152,x62153)+~P1(f317(x62152,x62154))+~P1(f317(f317(f319(x62151),x62154),f317(f162(x62151),x62153)))
% 92.29/92.10 [6218]~P3(x62181)+E(f41(x62181,f41(x62181,x62182,x62183),x62184),f41(x62181,x62182,x62184))+~P1(f317(f317(f277(x62181),x62184),x62183))
% 92.29/92.10 [6256]~P30(x62563,x62561,x62564)+P1(f317(x62561,x62562))+~P1(f317(f317(f319(x62563),x62562),f317(f162(x62563),x62564)))
% 92.29/92.10 [6257]~P30(x62573,x62571,x62574)+P1(f317(x62571,x62572))+~P1(f317(f317(f319(x62573),x62572),f317(f162(x62573),x62574)))
% 92.29/92.10 [6258]~P30(x62583,x62581,x62584)+P1(f317(x62581,x62582))+~P1(f317(f317(f319(x62583),x62582),f317(f162(x62583),x62584)))
% 92.29/92.10 [6260]~E(f317(f126(x62601,x62602),x62603),f103(x62601))+~P1(f317(x62602,x62604))+~P1(f317(f317(f319(x62601),x62604),f317(f162(x62601),x62603)))
% 92.29/92.10 [6261]~E(f167(x62613,x62611,x62614),x62614)+P1(f317(x62611,x62612))+~P1(f317(f317(f319(x62613),x62612),f317(f162(x62613),x62614)))
% 92.29/92.10 [6289]~E(x62894,f178(f904(x62892,a893)))+~E(x62893,f178(f904(x62891,a893)))+E(f303(x62891,x62892,x62893,x62894),f178(f904(f902(x62891,x62892),a893)))
% 92.29/92.10 [6441]P1(f317(x64411,x64412))+~P1(f317(f150(x64413,x64411),x64414))+~P1(f317(f317(f319(x64413),x64412),f317(f162(x64413),x64414)))
% 92.29/92.10 [6583]~P29(x65831,x65833,x65834)+P1(f317(x65831,x65832))+~P1(f317(f317(f319(a897),x65832),f317(f292(a897,x65833),x65834)))
% 92.29/92.10 [6722]~P77(x67221)+E(f317(f317(f6(a897,x67221),x67222),f293(a897,x67223,f317(a102,x67224))),f2(x67221))+~P1(f317(f317(f225(a897),f317(a102,x67224)),x67223))
% 92.29/92.10 [6868]~P107(x68681)+E(f317(f317(f23(f904(x68681,a893)),f317(f292(x68681,x68682),x68683)),f317(f292(x68681,x68682),x68684)),f317(f292(x68681,x68684),x68683))+~P1(f317(f317(f224(x68681),x68682),x68684))
% 92.29/92.10 [6939]~E(x69393,x69394)+E(x69391,f2(a897))+P1(f317(f317(f319(x69392),x69393),f317(f162(x69392),f159(x69392,x69391,x69394))))
% 92.29/92.10 [7225]~P1(f317(f317(f319(f898(x72251)),x72254),f151(x72251,x72253)))+P1(f317(f317(f319(x72251),x72252),x72253))+~P1(f317(f317(f319(x72251),x72252),f317(f162(x72251),x72254)))
% 92.29/92.10 [7232]~P36(x72321,x72322)+P1(f317(f317(f319(x72321),f603(x72322,x72321,x72323)),x72323))+~P1(f317(f317(f319(x72321),x72324),x72323))
% 92.29/92.10 [7265]~P24(x72652,x72651,x72653,x72654)+E(f317(f30(x72651),f317(f300(x72652,x72651,x72653),x72654)),f317(f30(x72652),x72654))+~P1(f317(f29(x72652),x72654))
% 92.29/92.10 [7288]~P76(x72881)+E(f317(f317(f317(f60(x72881,x72882,f75(x72881)),x72883),f72(x72881)),x72884),f317(f317(f9(x72882,x72881),x72883),x72884))+~P1(f317(f29(x72882),x72884))
% 92.29/92.10 [7289]~P76(x72891)+E(f317(f317(f317(f60(x72891,x72892,f75(x72891)),x72893),f72(x72891)),x72894),f317(f317(f9(x72892,x72891),x72893),x72894))+~P1(f317(f29(x72892),x72894))
% 92.29/92.10 [7290]~P77(x72901)+E(f317(f317(f317(f60(x72901,x72902,f74(x72901)),x72903),f2(x72901)),x72904),f317(f317(f6(x72902,x72901),x72903),x72904))+~P1(f317(f29(x72902),x72904))
% 92.29/92.10 [7291]~P77(x72911)+E(f317(f317(f317(f60(x72911,x72912,f74(x72911)),x72913),f2(x72911)),x72914),f317(f317(f6(x72912,x72911),x72913),x72914))+~P1(f317(f29(x72912),x72914))
% 92.29/92.10 [7317]P24(x73171,x73172,x73173,x73174)+~E(f317(f30(x73172),f317(f300(x73171,x73172,x73173),x73174)),f317(f30(x73171),x73174))+~P1(f317(f29(x73171),x73174))
% 92.29/92.10 [7318]P24(x73181,x73182,x73183,x73184)+~E(f317(f30(x73182),f317(f300(x73181,x73182,x73183),x73184)),f317(f30(x73181),x73184))+~P1(f317(f29(x73181),x73184))
% 92.29/92.10 [7512]~P77(x75121)+E(f317(f317(f74(x75121),f317(x75122,x75123)),f317(f317(f6(a897,x75121),x75122),f295(a897,x75123,x75124))),f317(f317(f6(a897,x75121),x75122),f293(a897,x75123,x75124)))+~P1(f317(f317(f224(a897),x75123),x75124))
% 92.29/92.10 [7521]~P76(x75211)+~P24(x75212,x75211,x75213,x75214)+E(f317(f317(f9(x75211,x75211),f25(x75211)),f317(f300(x75212,x75211,x75213),x75214)),f317(f317(f9(x75212,x75211),x75213),x75214))
% 92.29/92.10 [7522]~P77(x75221)+~P24(x75222,x75221,x75223,x75224)+E(f317(f317(f6(x75221,x75221),f25(x75221)),f317(f300(x75222,x75221,x75223),x75224)),f317(f317(f6(x75222,x75221),x75223),x75224))
% 92.29/92.10 [7569]E(f317(f30(f902(x75691,x75692)),f303(x75691,x75692,x75693,x75694)),f317(f317(f74(a897),f317(f30(x75691),x75693)),f317(f30(x75692),x75694)))+~P1(f317(f29(x75692),x75694))+~P1(f317(f29(x75691),x75693))
% 92.29/92.10 [7570]E(f317(f30(f902(x75701,x75702)),f303(x75701,x75702,x75703,x75704)),f317(f317(f74(a897),f317(f30(x75701),x75703)),f317(f30(x75702),x75704)))+~P1(f317(f29(x75702),x75704))+~P1(f317(f29(x75701),x75703))
% 92.29/92.10 [7654]E(x76541,x76542)+P1(f317(f317(f319(x76543),x76541),f317(f162(x76543),f160(x76543,x76542,x76544))))+~P1(f317(f317(f319(x76543),x76541),f317(f162(x76543),x76544)))
% 92.29/92.10 [7884]~P77(x78841)+E(f317(f317(f74(x78841),f317(f317(f6(a897,x78841),x78842),f317(f292(a897,x78843),x78844))),f317(x78842,x78844)),f317(f317(f6(a897,x78841),x78842),f317(f292(a897,x78843),f317(a102,x78844))))+P1(f317(f317(f225(a897),x78844),x78843))
% 92.29/92.10 [7934]~P24(x79341,x79342,x79343,f232(f904(x79341,a893)))+~P1(f317(f29(x79342),x79344))+P1(f317(f29(x79341),f317(f301(x79341,x79342,x79343),x79344)))
% 92.29/92.10 [8051]P1(f317(f317(f319(f898(x80511)),f317(f317(f141(x80511),x80512),x80513)),f151(x80511,x80514)))+~P1(f317(f317(f319(f898(x80511)),x80513),f151(x80511,x80514)))+~P1(f317(f317(f319(x80511),x80512),x80514))
% 92.29/92.10 [8098]E(x80981,x80982)+~P1(f317(f317(f319(x80983),x80981),f317(f162(x80983),f160(x80983,x80982,x80984))))+P1(f317(f317(f319(x80983),x80981),f317(f162(x80983),x80984)))
% 92.29/92.10 [8137]~E(f317(f300(x81373,x81371,x81374),f232(f904(x81373,a893))),f232(f904(x81371,a893)))+P1(f317(f29(x81371),x81372))+~P1(f317(f29(x81373),f317(f301(x81373,x81371,x81374),x81372)))
% 92.29/92.10 [8232]~P24(x82321,x82323,x82324,x82322)+P1(f317(f29(x82321),x82322))+~P1(f317(f29(x82323),f317(f300(x82321,x82323,x82324),x82322)))
% 92.29/92.10 [8255]~E(x82552,x82553)+P1(f317(f317(f319(f903(x82551,x82551)),f317(f317(f242(x82551,x82551),x82552),x82553)),f253(x82551,x82554)))+~P1(f317(f317(f319(x82551),x82552),x82554))
% 92.29/92.10 [8256]~E(x82562,x82563)+P1(f317(f317(f319(f903(x82561,x82561)),f317(f317(f242(x82561,x82561),x82562),x82563)),f253(x82561,x82564)))+~P1(f317(f317(f319(x82561),x82562),x82564))
% 92.29/92.10 [8289]~P77(x82891)+E(f317(f317(f74(x82891),f317(f317(f6(a897,x82891),x82892),f293(a897,x82893,x82894))),f317(x82892,f317(a102,x82894))),f317(f317(f6(a897,x82891),x82892),f293(a897,x82893,f317(a102,x82894))))+P1(f317(f317(f225(a897),f317(a102,x82894)),x82893))
% 92.29/92.10 [8347]~E(x83472,x83474)+P1(f317(f317(f319(f903(x83471,x83471)),f317(f317(f242(x83471,x83471),x83472),x83474)),f297(x83471,x83473)))+P1(f317(f317(f319(x83471),x83472),f317(f254(x83471,x83471),x83473)))
% 92.29/92.10 [8349]P1(f317(x83491,x83492))+~P1(f317(x83491,f317(f317(f154(x83493),x83494),f639(x83491,x83494,x83493))))+~P1(f317(f317(f319(x83493),x83492),f317(f162(x83493),x83494)))
% 92.29/92.10 [8490]~P1(f317(f317(f319(x84901),x84902),f306(x84901,x84904)))+P1(f317(f317(f319(f898(x84901)),f317(f317(f141(x84901),x84902),x84903)),f306(f898(x84901),f147(x84901,x84904))))+~P1(f317(f317(f319(f898(x84901)),x84903),f306(f898(x84901),f147(x84901,x84904))))
% 92.29/92.10 [8505]~P24(x85052,x85053,x85054,f494(x85054,x85053,x85052,x85051))+P24(x85052,x85053,x85054,f33(f904(x85052,a893),x85051))+E(x85051,f178(f904(f904(x85052,a893),a893)))
% 92.29/92.10 [8774]E(x87741,x87742)+~P1(f317(f317(f319(f903(x87743,x87743)),f317(f317(f242(x87743,x87743),x87741),x87742)),f297(x87743,x87744)))+P1(f317(f317(f319(x87743),x87741),f317(f254(x87743,x87743),x87744)))
% 92.29/92.10 [9052]E(x90521,f2(a897))+P1(f317(x90522,x90523))+P1(f317(f317(f319(x90524),f749(x90522,x90523,x90521,x90524)),f317(f162(x90524),f159(x90524,x90521,x90523))))
% 92.29/92.10 [9064]E(x90641,f2(a897))+~P1(f317(x90643,x90644))+P1(f317(f317(f319(x90642),f747(x90643,x90644,x90641,x90642)),f317(f162(x90642),f159(x90642,x90641,x90644))))
% 92.29/92.10 [9066]~P25(x90661,x90662,x90663,f232(f904(x90661,a893)),f232(f904(x90662,a893)))+~P1(f317(f29(x90662),x90664))+P1(f317(f29(x90661),f317(f301(x90661,x90662,x90663),x90664)))
% 92.29/92.10 [9069]P24(x90692,x90693,x90694,f33(f904(x90692,a893),x90691))+E(x90691,f178(f904(f904(x90692,a893),a893)))+P1(f317(f317(f319(f904(x90692,a893)),f494(x90694,x90693,x90692,x90691)),x90691))
% 92.29/92.10 [9186]~P25(x91863,x91861,x91864,f232(f904(x91863,a893)),f232(f904(x91861,a893)))+P1(f317(f29(x91861),x91862))+~P1(f317(f29(x91863),f317(f301(x91863,x91861,x91864),x91862)))
% 92.29/92.10 [9203]P1(f317(f29(x92031),x92032))+~P1(f317(f29(x92034),f317(f300(x92031,x92034,x92033),x92032)))+P1(f317(f317(f319(x92031),f532(x92033,x92034,x92032,x92031)),x92032))
% 92.29/92.10 [9298]~P5(x92982)+E(f317(f317(f59(x92981,x92982,f317(f317(f8(x92982,f904(x92982,x92982),x92981),f91(x92982)),x92983)),f178(x92982)),x92984),f317(f317(f35(x92981,x92982),x92984),x92983))+~P1(f317(f29(x92981),x92984))
% 92.29/92.10 [9299]~P5(x92992)+E(f317(f317(f59(x92991,x92992,f317(f317(f8(x92992,f904(x92992,x92992),x92991),f92(x92992)),x92993)),f232(x92992)),x92994),f317(f317(f36(x92991,x92992),x92994),x92993))+~P1(f317(f29(x92991),x92994))
% 92.29/92.10 [9329]~P1(f317(f317(f277(a897),x93293),x93294))+P1(f317(f317(f277(a897),x93291),x93292))+P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x93291,x93292)),f280(a897,f277(a897),x93293,x93294)))
% 92.29/92.10 [9342]~P1(f317(f317(f277(a897),x93422),x93424))+~P1(f317(f317(f277(a897),x93423),x93421))+P1(f317(f317(f224(f904(a897,a893)),f280(a897,f277(a897),x93421,x93422)),f280(a897,f277(a897),x93423,x93424)))
% 92.29/92.10 [9386]P1(f317(x93861,x93862))+~P1(f317(x93861,f317(f317(f154(x93863),x93864),f676(x93862,x93861,x93864,x93863))))+~P1(f317(f317(f319(x93863),x93862),f317(f162(x93863),x93864)))
% 92.29/92.10 [9406]E(x94061,x94062)+~P1(f317(f317(f319(f903(x94063,x94063)),f317(f317(f242(x94063,x94063),x94061),x94062)),f297(x94063,x94064)))+P1(f317(f317(f319(f903(x94063,x94063)),f317(f317(f242(x94063,x94063),x94061),x94062)),f317(f317(f279(x94063,x94063,x94063),x94064),f297(x94063,x94064))))
% 92.29/92.10 [9407]E(x94071,x94072)+~P1(f317(f317(f319(f903(x94073,x94073)),f317(f317(f242(x94073,x94073),x94071),x94072)),f297(x94073,x94074)))+P1(f317(f317(f319(f903(x94073,x94073)),f317(f317(f242(x94073,x94073),x94071),x94072)),f317(f317(f279(x94073,x94073,x94073),x94074),f297(x94073,x94074))))
% 92.29/92.10 [9457]~E(f317(f179(f898(x94571)),x94572),f317(f179(f898(x94571)),x94573))+~P1(f317(f317(f319(f903(f898(x94571),f898(x94571))),f317(f317(f242(f898(x94571),f898(x94571)),x94572),x94573)),f137(x94571,x94574)))+P1(f317(f317(f319(f903(f898(x94571),f898(x94571))),f317(f317(f242(f898(x94571),f898(x94571)),x94572),x94573)),f135(x94571,x94574)))
% 92.29/92.10 [9479]E(x94791,x94792)+P1(f317(f317(f319(f903(x94793,x94793)),f317(f317(f242(x94793,x94793),x94791),x94792)),f297(x94793,x94794)))+~P1(f317(f317(f319(f903(x94793,x94793)),f317(f317(f242(x94793,x94793),x94791),x94792)),f317(f317(f279(x94793,x94793,x94793),x94794),f297(x94793,x94794))))
% 92.29/92.10 [9580]P1(f317(f317(f277(a897),x95801),x95802))+~P1(f317(f317(f277(a897),x95803),x95801))+~P1(f317(f317(f224(f904(a897,a893)),f280(a897,f277(a897),x95803,x95801)),f280(a897,f277(a897),x95804,x95802)))
% 92.29/92.10 [9581]P1(f317(f317(f277(a897),x95811),x95812))+~P1(f317(f317(f277(a897),x95813),x95811))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x95813,x95811)),f280(a897,f277(a897),x95814,x95812)))
% 92.29/92.10 [9582]P1(f317(f317(f277(a897),x95821),x95822))+~P1(f317(f317(f277(a897),x95822),x95823))+~P1(f317(f317(f224(f904(a897,a893)),f280(a897,f277(a897),x95822,x95823)),f280(a897,f277(a897),x95821,x95824)))
% 92.29/92.10 [9583]P1(f317(f317(f277(a897),x95831),x95832))+~P1(f317(f317(f277(a897),x95832),x95833))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x95832,x95833)),f280(a897,f277(a897),x95831,x95834)))
% 92.29/92.10 [9702]P30(x97021,f317(f317(f18(x97021,a893,a893),f317(f317(f8(a893,f904(a893,a893),x97021),a316),f317(f317(f8(a893,a893,x97021),a312),x97022))),f317(a314,x97023)),x97024)+~P1(f317(x97022,x97023))+~P34(x97021,x97022,f317(f317(f141(x97021),x97023),x97024))
% 92.29/92.10 [9867]~P30(x98671,f317(f317(f18(x98671,a893,a893),f317(f317(f8(a893,f904(a893,a893),x98671),a316),f317(f317(f8(a893,a893,x98671),a312),x98672))),f317(a314,x98673)),x98674)+~P1(f317(x98672,x98673))+P34(x98671,x98672,f317(f317(f141(x98671),x98673),x98674))
% 92.29/92.10 [9871]~P34(x98711,x98712,x98714)+~P30(x98711,f317(f317(f18(x98711,a893,a893),f317(f317(f8(a893,f904(a893,a893),x98711),a316),f317(f317(f8(a893,a893,x98711),a312),x98712))),f317(a314,x98713)),x98714)+P34(x98711,x98712,f317(f317(f141(x98711),x98713),x98714))
% 92.29/92.10 [9904]~P68(x99041)+E(f317(f317(f6(a897,x99041),f317(f317(f18(a897,x99041,x99041),f317(f317(f8(x99041,f904(x99041,x99041),a897),f23(x99041)),x99042)),f317(f317(f8(a897,x99041,a897),x99042),f317(f317(f7(a897,a897,a897),f74(a897)),f72(a897))))),f293(a897,x99043,x99044)),f2(x99041))+P1(f317(f317(f224(a897),x99043),x99044))
% 92.29/92.10 [10141]~P36(x101412,x101414)+~P24(x101412,x101411,x101413,f232(f904(x101412,a893)))+P36(x101411,f317(f300(f903(x101412,x101412),f903(x101411,x101411),f248(x101412,x101411,x101412,x101411,x101413,x101413)),x101414))
% 92.29/92.10 [10333]~E(f317(f179(f898(x103331)),x103333),f317(f179(f898(x103331)),x103332))+P1(f317(f317(f319(f903(f898(x103331),f898(x103331))),f317(f317(f242(f898(x103331),f898(x103331)),x103332),x103333)),f148(x103331,x103334)))+~P1(f317(f317(f247(x103331,x103331,a893),f317(f317(f7(x103331,f904(f903(x103331,x103331),a893),f904(x103331,a893)),f317(f317(f8(f904(x103331,f904(f904(f903(x103331,x103331),a893),a893)),f904(f904(f903(x103331,x103331),a893),f904(x103331,a893)),x103331),f7(x103331,f904(f903(x103331,x103331),a893),a893)),f317(f317(f8(f904(x103331,f903(x103331,x103331)),f904(x103331,f904(f904(f903(x103331,x103331),a893),a893)),x103331),f317(f8(f903(x103331,x103331),f904(f904(f903(x103331,x103331),a893),a893),x103331),f319(f903(x103331,x103331)))),f242(x103331,x103331)))),x103334)),f641(x103334,x103333,x103332,x103331)))
% 92.29/92.10 [6170]~P3(x61701)+~E(x61702,f2(x61701))+E(f317(f317(f31(x61701),f317(f317(f75(x61701),x61702),x61703)),f317(f317(f75(x61701),x61702),x61704)),f2(x61701))
% 92.29/92.10 [6212]E(x62121,f103(x62122))+E(x62123,f317(f317(f23(a897),f317(f179(f898(x62122)),x62121)),f72(a897)))+E(f134(x62122,f317(f317(f149(x62122,x62121),x62123),x62124)),f134(x62122,x62121))
% 92.29/92.10 [6249]E(x62491,x62492)+P1(f317(x62493,x62492))+~P1(f317(f317(f317(f299(x62494),x62491),x62493),x62492))
% 92.29/92.10 [6265]~P77(x62651)+~P1(f317(f127(x62652),x62654))+E(f317(f155(x62651),f317(f317(f144(x62652,x62651),x62653),x62654)),f317(f317(f6(x62652,x62651),x62653),f317(f162(x62652),x62654)))
% 92.29/92.10 [6282]~P76(x62822)+~P1(f317(f29(x62821),x62824))+E(f317(f317(f9(x62821,x62822),f317(f16(x62822,x62821),x62823)),x62824),f317(f317(f234(x62822),x62823),f317(f30(x62821),x62824)))
% 92.29/92.10 [6337]~P3(x63372)+E(x63371,f2(x63372))+E(f317(f317(f31(x63372),f317(f317(f75(x63372),x63373),x63371)),f317(f317(f75(x63372),x63374),x63371)),f317(f317(f31(x63372),x63373),x63374))
% 92.29/92.10 [6338]~P3(x63382)+E(x63381,f2(x63382))+E(f317(f317(f31(x63382),f317(f317(f75(x63382),x63381),x63383)),f317(f317(f75(x63382),x63381),x63384)),f317(f317(f31(x63382),x63383),x63384))
% 92.29/92.10 [6339]~P61(x63392)+E(x63391,f2(x63392))+E(f317(f317(f281(x63392),f317(f317(f75(x63392),x63393),x63391)),f317(f317(f75(x63392),x63394),x63391)),f317(f317(f281(x63392),x63393),x63394))
% 92.29/92.10 [6340]~P61(x63402)+E(x63401,f2(x63402))+E(f317(f317(f281(x63402),f317(f317(f75(x63402),x63401),x63403)),f317(f317(f75(x63402),x63401),x63404)),f317(f317(f281(x63402),x63403),x63404))
% 92.29/92.10 [6341]~P3(x63412)+E(x63411,f2(x63412))+E(f317(f317(f31(x63412),f317(f317(f75(x63412),x63411),x63413)),f317(f317(f75(x63412),x63411),x63414)),f317(f317(f31(x63412),x63413),x63414))
% 92.29/92.10 [6409]P1(f317(x64091,x64092))+~E(x64093,f317(f317(f74(a897),x64094),x64092))+~P1(f317(x64091,f317(f317(f23(a897),x64093),x64094)))
% 92.29/92.10 [6410]P1(f317(x64101,x64102))+~E(x64103,f317(f317(f74(a897),x64104),x64102))+~P1(f317(x64101,f317(f317(f23(a897),x64103),x64104)))
% 92.29/92.10 [6496]~P1(f317(x64962,x64963))+~P1(f317(f150(x64961,x64962),x64964))+P1(f317(f150(x64961,x64962),f317(f317(f141(x64961),x64963),x64964)))
% 92.29/92.10 [6537]E(x65371,f103(x65372))+~E(x65373,f317(f317(f23(a897),f317(f179(f898(x65372)),x65371)),f72(a897)))+E(f134(x65372,f317(f317(f149(x65372,x65371),x65373),x65374)),x65374)
% 92.29/92.10 [6560]~P107(x65601)+~P1(f317(f317(f224(x65601),x65602),x65604))+P1(f317(f317(f224(x65601),x65602),f317(f317(f223(x65601),x65603),x65604)))
% 92.29/92.10 [6561]~P107(x65611)+~P1(f317(f317(f224(x65611),x65612),x65614))+P1(f317(f317(f224(x65611),x65612),f317(f317(f223(x65611),x65613),x65614)))
% 92.29/92.10 [6562]~P107(x65621)+~P1(f317(f317(f224(x65621),x65622),x65623))+P1(f317(f317(f224(x65621),x65622),f317(f317(f223(x65621),x65623),x65624)))
% 92.29/92.10 [6563]~P107(x65631)+~P1(f317(f317(f224(x65631),x65632),x65633))+P1(f317(f317(f224(x65631),x65632),f317(f317(f223(x65631),x65633),x65634)))
% 92.29/92.10 [6564]~P98(x65641)+~P1(f317(f317(f224(x65641),x65642),x65644))+P1(f317(f317(f224(x65641),x65642),f317(f317(f91(x65641),x65643),x65644)))
% 92.29/92.10 [6565]~P98(x65651)+~P1(f317(f317(f224(x65651),x65652),x65653))+P1(f317(f317(f224(x65651),x65652),f317(f317(f91(x65651),x65653),x65654)))
% 92.29/92.10 [6566]~P107(x65661)+~P1(f317(f317(f225(x65661),x65662),x65664))+P1(f317(f317(f225(x65661),x65662),f317(f317(f223(x65661),x65663),x65664)))
% 92.29/92.10 [6567]~P107(x65671)+~P1(f317(f317(f225(x65671),x65672),x65674))+P1(f317(f317(f225(x65671),x65672),f317(f317(f223(x65671),x65673),x65674)))
% 92.29/92.10 [6568]~P107(x65681)+~P1(f317(f317(f225(x65681),x65682),x65683))+P1(f317(f317(f225(x65681),x65682),f317(f317(f223(x65681),x65683),x65684)))
% 92.29/92.10 [6569]~P107(x65691)+~P1(f317(f317(f225(x65691),x65692),x65693))+P1(f317(f317(f225(x65691),x65692),f317(f317(f223(x65691),x65693),x65694)))
% 92.29/92.10 [6570]~P98(x65701)+~P1(f317(f317(f225(x65701),x65702),x65704))+P1(f317(f317(f225(x65701),x65702),f317(f317(f91(x65701),x65703),x65704)))
% 92.29/92.10 [6571]~P98(x65711)+~P1(f317(f317(f225(x65711),x65712),x65713))+P1(f317(f317(f225(x65711),x65712),f317(f317(f91(x65711),x65713),x65714)))
% 92.29/92.10 [6572]~P119(x65721)+~P1(f317(f317(f277(x65721),x65722),x65724))+P1(f317(f317(f277(x65721),x65722),f317(f317(f75(x65721),x65723),x65724)))
% 92.29/92.10 [6573]~P119(x65731)+~P1(f317(f317(f277(x65731),x65732),x65733))+P1(f317(f317(f277(x65731),x65732),f317(f317(f75(x65731),x65733),x65734)))
% 92.29/92.10 [6666]~E(f317(f317(f154(x66661),x66662),x66663),x66664)+E(f317(f317(f149(x66661,x66662),x66663),x66664),x66662)+~P1(f317(f317(f225(a897),x66663),f317(f179(f898(x66661)),x66662)))
% 92.29/92.10 [6705]P1(f317(x67051,x67052))+~P1(f317(x67053,x67052))+~P1(f317(f317(f224(f904(x67054,a893)),x67053),x67051))
% 92.29/92.10 [6706]P1(f317(x67061,x67062))+~P1(f317(x67063,x67062))+~P1(f317(f317(f224(f904(x67064,a893)),x67063),x67061))
% 92.29/92.10 [6741]~E(f317(f317(f149(x67411,x67412),x67413),x67414),x67412)+E(f317(f317(f154(x67411),x67412),x67413),x67414)+~P1(f317(f317(f225(a897),x67413),f317(f179(f898(x67411)),x67412)))
% 92.29/92.10 [6755]~P1(f317(f150(x67551,x67552),x67554))+~P1(f317(f150(x67551,x67552),x67553))+P1(f317(f150(x67551,x67552),f317(f317(f124(x67551),x67553),x67554)))
% 92.29/92.10 [6864]E(x68641,f178(f904(x68642,a893)))+E(x68643,f178(f904(x68644,a893)))+~E(f317(f317(f244(x68644,x68642),x68643),f317(f16(f904(x68642,a893),x68644),x68641)),f178(f904(f903(x68644,x68642),a893)))
% 92.29/92.10 [6883]E(x68831,x68832)+P1(f317(f317(f319(x68833),x68831),x68834))+~P1(f317(f317(f319(x68833),x68831),f317(f317(f299(x68833),x68832),x68834)))
% 92.29/92.10 [6884]E(x68841,x68842)+P1(f317(f317(f319(x68843),x68841),x68844))+~P1(f317(f317(f319(x68843),x68841),f317(f317(f299(x68843),x68842),x68844)))
% 92.29/92.10 [6900]~P107(x69001)+P1(f317(f317(f224(x69001),x69002),x69003))+~P1(f317(f317(f224(x69001),x69002),f317(f317(f228(x69001),x69004),x69003)))
% 92.29/92.10 [6901]~P107(x69011)+P1(f317(f317(f224(x69011),x69012),x69013))+~P1(f317(f317(f224(x69011),x69012),f317(f317(f228(x69011),x69014),x69013)))
% 92.29/92.10 [6902]~P107(x69021)+P1(f317(f317(f224(x69021),x69022),x69023))+~P1(f317(f317(f224(x69021),x69022),f317(f317(f228(x69021),x69023),x69024)))
% 92.29/92.10 [6903]~P107(x69031)+P1(f317(f317(f224(x69031),x69032),x69033))+~P1(f317(f317(f224(x69031),x69032),f317(f317(f228(x69031),x69033),x69034)))
% 92.29/92.10 [6904]~P104(x69041)+P1(f317(f317(f224(x69041),x69042),x69043))+~P1(f317(f317(f224(x69041),x69042),f317(f317(f92(x69041),x69044),x69043)))
% 92.29/92.10 [6905]~P104(x69051)+P1(f317(f317(f224(x69051),x69052),x69053))+~P1(f317(f317(f224(x69051),x69052),f317(f317(f92(x69051),x69054),x69053)))
% 92.29/92.10 [6906]~P104(x69061)+P1(f317(f317(f224(x69061),x69062),x69063))+~P1(f317(f317(f224(x69061),x69062),f317(f317(f92(x69061),x69063),x69064)))
% 92.29/92.10 [6907]~P104(x69071)+P1(f317(f317(f224(x69071),x69072),x69073))+~P1(f317(f317(f224(x69071),x69072),f317(f317(f92(x69071),x69073),x69074)))
% 92.29/92.10 [6908]~P107(x69081)+P1(f317(f317(f225(x69081),x69082),x69083))+~P1(f317(f317(f225(x69081),x69082),f317(f317(f228(x69081),x69084),x69083)))
% 92.29/92.10 [6909]~P107(x69091)+P1(f317(f317(f225(x69091),x69092),x69093))+~P1(f317(f317(f225(x69091),x69092),f317(f317(f228(x69091),x69093),x69094)))
% 92.29/92.10 [6930]~E(f317(f317(f154(x69301),x69303),x69304),x69302)+P1(f317(f317(f319(x69301),x69302),f317(f162(x69301),x69303)))+~P1(f317(f317(f225(a897),x69304),f317(f179(f898(x69301)),x69303)))
% 92.29/92.10 [6940]~P107(x69401)+~P13(x69401,f317(f317(f141(x69401),x69402),f317(f317(f141(x69401),x69403),x69404)))+P1(f317(f317(f224(x69401),x69402),x69403))
% 92.29/92.10 [6995]~P107(x69951)+P13(x69951,f317(f317(f141(x69951),x69952),x69953))+~P13(x69951,f317(f317(f141(x69951),x69954),f317(f317(f141(x69951),x69952),x69953)))
% 92.29/92.10 [7090]~P30(x70902,x70901,x70903)+P1(f317(x70901,f317(f317(f154(x70902),x70903),x70904)))+~P1(f317(f317(f225(a897),x70904),f317(f179(f898(x70902)),x70903)))
% 92.29/92.10 [7108]E(x71081,f2(a1))+E(f317(f317(f31(a1),x71082),x71081),x71083)+~P1(f317(f45(x71082,x71081),f317(f317(f242(a1,a1),x71083),x71084)))
% 92.29/92.10 [7130]E(f41(a1,x71302,x71301),x71303)+E(x71301,f2(a1))+~P1(f317(f45(x71302,x71301),f317(f317(f242(a1,a1),x71304),x71303)))
% 92.29/92.10 [7246]P1(f317(f317(f319(x72461),x72462),x72463))+~P1(f317(f317(f319(x72461),x72462),x72464))+~P1(f317(f317(f224(f904(x72461,a893)),x72464),x72463))
% 92.29/92.10 [7247]P1(f317(f317(f319(x72471),x72472),x72473))+~P1(f317(f317(f319(x72471),x72472),x72474))+~P1(f317(f317(f224(f904(x72471,a893)),x72474),x72473))
% 92.29/92.10 [7248]P1(f317(f317(f319(x72481),x72482),x72483))+~P1(f317(f317(f319(x72481),x72482),x72484))+~P1(f317(f317(f224(f904(x72481,a893)),x72484),x72483))
% 92.29/92.10 [7249]P1(f317(f317(f319(x72491),x72492),x72493))+~P1(f317(f317(f319(x72491),x72492),x72494))+~P1(f317(f317(f225(f904(x72491,a893)),x72494),x72493))
% 92.29/92.10 [7250]P1(f317(f317(f319(x72501),x72502),x72503))+~P1(f317(f317(f319(x72501),x72502),x72504))+~P1(f317(f317(f224(f904(x72501,a893)),x72504),x72503))
% 92.29/92.10 [7261]~P120(x72611)+~E(x72613,f2(x72611))+P1(f317(f317(f277(x72611),f317(f317(f75(x72611),x72612),x72613)),f317(f317(f75(x72611),x72614),x72613)))
% 92.29/92.10 [7262]~P120(x72621)+~E(x72622,f2(x72621))+P1(f317(f317(f277(x72621),f317(f317(f75(x72621),x72622),x72623)),f317(f317(f75(x72621),x72622),x72624)))
% 92.29/92.10 [7362]P32(x73621,x73622,x73623)+~P1(f317(x73622,f317(f317(f154(x73621),x73623),x73624)))+~P1(f317(f317(f225(a897),x73624),f317(f179(f898(x73621)),x73623)))
% 92.29/92.10 [7477]~P109(x74772)+~P1(f317(f317(f225(f904(x74771,x74772)),x74773),x74774))+P1(f317(f317(f224(f904(x74771,x74772)),x74773),x74774))
% 92.29/92.10 [7601]~P1(f317(f317(f319(x76011),x76012),x76014))+P1(f317(f317(f319(x76011),x76012),f32(f904(x76011,a893),x76013)))+~P1(f317(f317(f319(f904(x76011,a893)),x76014),x76013))
% 92.29/92.10 [7603]~P119(x76031)+~P1(f317(f317(f224(a897),x76033),x76034))+P1(f317(f317(f277(x76031),f317(f317(f234(x76031),x76032),x76033)),f317(f317(f234(x76031),x76032),x76034)))
% 92.29/92.10 [7631]~P83(x76311)+~P1(f317(f317(f224(x76311),x76313),x76314))+P1(f317(f317(f224(x76311),f317(f317(f74(x76311),x76312),x76313)),f317(f317(f74(x76311),x76312),x76314)))
% 92.29/92.10 [7632]~P84(x76321)+~P1(f317(f317(f224(x76321),x76323),x76324))+P1(f317(f317(f224(x76321),f317(f317(f74(x76321),x76322),x76323)),f317(f317(f74(x76321),x76322),x76324)))
% 92.29/92.10 [7633]~P83(x76331)+~P1(f317(f317(f224(x76331),x76332),x76334))+P1(f317(f317(f224(x76331),f317(f317(f74(x76331),x76332),x76333)),f317(f317(f74(x76331),x76334),x76333)))
% 92.29/92.10 [7634]~P84(x76341)+~P1(f317(f317(f224(x76341),x76342),x76344))+P1(f317(f317(f224(x76341),f317(f317(f74(x76341),x76342),x76343)),f317(f317(f74(x76341),x76344),x76343)))
% 92.29/92.10 [7635]~P83(x76351)+~P1(f317(f317(f225(x76351),x76353),x76354))+P1(f317(f317(f225(x76351),f317(f317(f74(x76351),x76352),x76353)),f317(f317(f74(x76351),x76352),x76354)))
% 92.29/92.10 [7636]~P86(x76361)+~P1(f317(f317(f225(x76361),x76363),x76364))+P1(f317(f317(f225(x76361),f317(f317(f74(x76361),x76362),x76363)),f317(f317(f74(x76361),x76362),x76364)))
% 92.29/92.10 [7637]~P83(x76371)+~P1(f317(f317(f225(x76371),x76372),x76374))+P1(f317(f317(f225(x76371),f317(f317(f74(x76371),x76372),x76373)),f317(f317(f74(x76371),x76374),x76373)))
% 92.29/92.10 [7638]~P86(x76381)+~P1(f317(f317(f225(x76381),x76382),x76384))+P1(f317(f317(f225(x76381),f317(f317(f74(x76381),x76382),x76383)),f317(f317(f74(x76381),x76384),x76383)))
% 92.29/92.10 [7639]~P120(x76391)+~P1(f317(f317(f277(x76391),x76393),x76394))+P1(f317(f317(f277(x76391),f317(f317(f75(x76391),x76392),x76393)),f317(f317(f75(x76391),x76392),x76394)))
% 92.29/92.10 [7640]~P120(x76401)+~P1(f317(f317(f277(x76401),x76402),x76404))+P1(f317(f317(f277(x76401),f317(f317(f75(x76401),x76402),x76403)),f317(f317(f75(x76401),x76404),x76403)))
% 92.29/92.10 [7641]~P119(x76411)+~P1(f317(f317(f277(x76411),x76412),x76414))+P1(f317(f317(f277(x76411),f317(f317(f234(x76411),x76412),x76413)),f317(f317(f234(x76411),x76414),x76413)))
% 92.29/92.10 [7648]~P139(x76481)+~P93(x76481)+E(f317(f317(f23(x76481),f317(f317(f75(x76481),x76482),f317(f94(x76481),x76483))),f317(f317(f75(x76481),x76484),f317(f94(x76481),x76483))),f317(f317(f75(x76481),f317(f317(f23(x76481),x76482),x76484)),f317(f94(x76481),x76483)))
% 92.29/92.10 [7649]~P142(x76491)+~P93(x76491)+E(f317(f317(f74(x76491),f317(f317(f75(x76491),x76492),f317(f94(x76491),x76493))),f317(f317(f75(x76491),x76494),f317(f94(x76491),x76493))),f317(f317(f75(x76491),f317(f317(f74(x76491),x76492),x76494)),f317(f94(x76491),x76493)))
% 92.29/92.10 [7685]~P77(x76851)+E(f317(f317(f74(x76851),f317(x76852,x76853)),f317(f317(f6(a897,x76851),x76852),f293(a897,f317(a102,x76853),x76854))),f317(f317(f6(a897,x76851),x76852),f293(a897,x76853,x76854)))+~P1(f317(f317(f224(a897),x76853),x76854))
% 92.29/92.10 [7697]~P24(x76972,x76971,x76973,f317(f162(x76972),x76974))+~P1(f317(f127(x76972),x76974))+P1(f317(f127(x76971),f317(f317(f144(x76972,x76971),x76973),x76974)))
% 92.29/92.10 [7746]~P1(f317(f317(f224(a897),x77462),x77464))+~P1(f317(f317(f224(a897),x77461),x77463))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x77461),x77462)),f317(f317(f74(a897),x77463),x77464)))
% 92.29/92.10 [7747]~P1(f317(f317(f224(a897),x77472),x77474))+~P1(f317(f317(f224(a897),x77471),x77473))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x77471),x77472)),f317(f317(f75(a897),x77473),x77474)))
% 92.29/92.10 [7750]~P1(f317(f317(f225(a897),x77502),x77504))+~P1(f317(f317(f225(a897),x77501),x77503))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x77501),x77502)),f317(f317(f74(a897),x77503),x77504)))
% 92.29/92.10 [7751]~P1(f317(f317(f224(a1),x77512),x77514))+~P1(f317(f317(f225(a1),x77511),x77513))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x77511),x77512)),f317(f317(f74(a1),x77513),x77514)))
% 92.29/92.10 [7798]P1(f317(f317(f319(x77981),x77982),x77983))+~P1(f317(f317(f319(x77981),x77982),f33(f904(x77981,a893),x77984)))+~P1(f317(f317(f319(f904(x77981,a893)),x77983),x77984))
% 92.29/92.10 [7799]P1(f317(f317(f319(x77991),x77992),x77993))+~P1(f317(f317(f319(x77991),x77992),f33(f904(x77991,a893),x77994)))+~P1(f317(f317(f319(f904(x77991,a893)),x77993),x77994))
% 92.29/92.10 [7816]~P1(f317(x78161,f637(x78161,x78163,x78162)))+P1(f317(x78161,f317(f317(f154(x78162),x78163),x78164)))+~P1(f317(f317(f225(a897),x78164),f317(f179(f898(x78162)),x78163)))
% 92.29/92.10 [7821]P1(f317(x78211,x78212))+~P1(f317(f317(f319(x78214),x78212),f317(f162(x78214),x78213)))+P1(f317(f317(f225(a897),f639(x78211,x78213,x78214)),f317(f179(f898(x78214)),x78213)))
% 92.29/92.10 [7868]~P109(x78681)+~P1(f317(f317(f225(f904(x78682,x78681)),x78684),x78683))+~P1(f317(f317(f224(f904(x78682,x78681)),x78683),x78684))
% 92.29/92.10 [7913]~P1(f317(x79134,x79132))+~P1(f317(f317(f319(x79131),x79132),x79133))+P1(f317(f317(f319(x79131),x79132),f317(f317(f92(f904(x79131,a893)),x79133),f317(f252(x79131),x79134))))
% 92.29/92.10 [7926]P1(f317(f317(f319(x79261),x79262),x79263))+~P1(f317(f317(f224(f904(x79261,a893)),x79263),x79264))+P1(f317(f317(f224(f904(x79261,a893)),x79263),f317(f317(f299(x79261),x79262),x79264)))
% 92.29/92.10 [7927]P1(f317(f317(f319(x79271),x79272),x79273))+~P1(f317(f317(f224(f904(x79271,a893)),x79273),x79274))+P1(f317(f317(f224(f904(x79271,a893)),x79273),f317(f317(f299(x79271),x79272),x79274)))
% 92.29/92.10 [8058]~P1(f317(f317(f319(x80581),x80583),x80584))+~P1(f317(f317(f225(f904(x80581,a893)),x80582),x80584))+P1(f317(f317(f225(f904(x80581,a893)),x80582),f317(f317(f299(x80581),x80583),x80584)))
% 92.29/92.10 [8060]E(f317(f317(f92(f904(x80601,a893)),x80602),x80603),f178(f904(x80601,a893)))+~E(f317(f317(f92(f904(x80601,a893)),f32(f904(x80601,a893),x80604)),x80603),f178(f904(x80601,a893)))+~P1(f317(f317(f319(f904(x80601,a893)),x80602),x80604))
% 92.29/92.10 [8132]P1(f317(f317(f319(x81321),x81322),x81323))+~P1(f317(f317(f224(f904(x81321,a893)),x81323),f317(f317(f299(x81321),x81322),x81324)))+P1(f317(f317(f224(f904(x81321,a893)),x81323),x81324))
% 92.29/92.10 [8133]P1(f317(f317(f319(x81331),x81332),x81333))+~P1(f317(f317(f224(f904(x81331,a893)),x81333),f317(f317(f299(x81331),x81332),x81334)))+P1(f317(f317(f224(f904(x81331,a893)),x81333),x81334))
% 92.29/92.10 [8150]P1(f317(f317(f319(x81502),f637(x81501,x81503,x81502)),f317(f162(x81502),x81503)))+P1(f317(x81501,f317(f317(f154(x81502),x81503),x81504)))+~P1(f317(f317(f225(a897),x81504),f317(f179(f898(x81502)),x81503)))
% 92.29/92.10 [8158]~P1(f317(f317(f224(f904(x81581,a893)),x81582),x81584))+P1(f317(f317(f224(f904(x81581,a893)),x81582),x81583))+~P1(f317(f317(f224(f904(x81581,a893)),x81584),x81583))
% 92.29/92.10 [8159]~P1(f317(f317(f225(f904(x81591,a893)),x81592),x81594))+~P1(f317(f317(f224(f904(x81591,a893)),x81594),x81593))+P1(f317(f317(f225(f904(x81591,a893)),x81592),x81593))
% 92.29/92.10 [8160]~P1(f317(f317(f224(f904(x81601,a893)),x81602),x81604))+~P1(f317(f317(f225(f904(x81601,a893)),x81604),x81603))+P1(f317(f317(f225(f904(x81601,a893)),x81602),x81603))
% 92.29/92.10 [8161]~P1(f317(f317(f225(f904(x81611,a893)),x81612),x81614))+P1(f317(f317(f225(f904(x81611,a893)),x81612),x81613))+~P1(f317(f317(f225(f904(x81611,a893)),x81614),x81613))
% 92.29/92.10 [8205]~P1(f317(f317(f319(x82051),x82054),x82053))+~P1(f317(f317(f225(f904(x82051,a893)),x82052),f317(f317(f299(x82051),x82054),x82053)))+P1(f317(f317(f225(f904(x82051,a893)),x82052),x82053))
% 92.29/92.10 [8215]~P83(x82151)+P1(f317(f317(f224(x82151),x82152),x82153))+~P1(f317(f317(f224(x82151),f317(f317(f74(x82151),x82154),x82152)),f317(f317(f74(x82151),x82154),x82153)))
% 92.29/92.10 [8216]~P83(x82161)+P1(f317(f317(f224(x82161),x82162),x82163))+~P1(f317(f317(f224(x82161),f317(f317(f74(x82161),x82164),x82162)),f317(f317(f74(x82161),x82164),x82163)))
% 92.29/92.10 [8217]~P83(x82171)+P1(f317(f317(f224(x82171),x82172),x82173))+~P1(f317(f317(f224(x82171),f317(f317(f74(x82171),x82172),x82174)),f317(f317(f74(x82171),x82173),x82174)))
% 92.29/92.10 [8218]~P83(x82181)+P1(f317(f317(f224(x82181),x82182),x82183))+~P1(f317(f317(f224(x82181),f317(f317(f74(x82181),x82182),x82184)),f317(f317(f74(x82181),x82183),x82184)))
% 92.29/92.10 [8219]~P83(x82191)+P1(f317(f317(f225(x82191),x82192),x82193))+~P1(f317(f317(f225(x82191),f317(f317(f74(x82191),x82194),x82192)),f317(f317(f74(x82191),x82194),x82193)))
% 92.29/92.10 [8220]~P83(x82201)+P1(f317(f317(f225(x82201),x82202),x82203))+~P1(f317(f317(f225(x82201),f317(f317(f74(x82201),x82204),x82202)),f317(f317(f74(x82201),x82204),x82203)))
% 92.29/92.10 [8221]~P83(x82211)+P1(f317(f317(f225(x82211),x82212),x82213))+~P1(f317(f317(f225(x82211),f317(f317(f74(x82211),x82212),x82214)),f317(f317(f74(x82211),x82213),x82214)))
% 92.29/92.10 [8222]~P83(x82221)+P1(f317(f317(f225(x82221),x82222),x82223))+~P1(f317(f317(f225(x82221),f317(f317(f74(x82221),x82222),x82224)),f317(f317(f74(x82221),x82223),x82224)))
% 92.29/92.10 [8273]P1(f317(x82731,x82732))+~E(f317(f317(f128(x82733),f317(f179(f898(x82733)),f167(x82733,x82731,x82734))),x82734),f103(x82733))+~P1(f317(f317(f319(x82733),x82732),f317(f162(x82733),x82734)))
% 92.29/92.10 [8392]P1(f317(x83921,x83922))+~P1(f317(f317(f319(x83923),x83922),f317(f162(x83923),x83924)))+P1(f317(f317(f225(a897),f317(f179(f898(x83923)),f317(f126(x83923,x83921),x83924))),f317(f179(f898(x83923)),x83924)))
% 92.29/92.10 [8881]~P1(f317(x88811,f730(x88811,x88813,x88812,x88814)))+P1(f317(x88811,f317(f317(f154(x88812),x88813),x88814)))+~P1(f317(f317(f225(a897),x88814),f317(f179(f898(x88812)),x88813)))
% 92.29/92.10 [8905]~P24(x89054,x89053,x89051,f232(f904(x89054,a893)))+E(f317(x89051,f462(x89052,x89051,x89053,x89054)),x89052)+~P1(f317(f317(f319(x89053),x89052),f317(f300(x89054,x89053,x89051),f232(f904(x89054,a893)))))
% 92.29/92.10 [8973]E(f167(x89731,x89732,x89733),f317(f317(f165(x89731),x89734),x89733))+P1(f317(f317(f225(a897),f701(x89732,x89733,x89731,x89734)),x89734))+P1(f317(f317(f225(a897),x89734),f317(f179(f898(x89731)),x89733)))
% 92.29/92.10 [8976]E(f167(x89761,x89762,x89763),f317(f317(f165(x89761),x89764),x89763))+P1(f317(f317(f225(a897),f701(x89762,x89763,x89761,x89764)),x89764))+P1(f317(x89762,f317(f317(f154(x89761),x89763),x89764)))
% 92.29/92.10 [9011]P1(f317(x90111,x90112))+~P1(f317(f317(f319(x90114),x90112),f317(f162(x90114),x90113)))+P1(f317(f317(f225(a897),f676(x90112,x90111,x90113,x90114)),f317(f179(f898(x90114)),x90113)))
% 92.29/92.10 [9013]E(f167(x90131,x90132,x90133),f317(f317(f165(x90131),x90134),x90133))+P1(f317(f317(f225(a897),x90134),f317(f179(f898(x90131)),x90133)))+P1(f317(f317(f225(a897),f701(x90132,x90133,x90131,x90134)),f317(f179(f898(x90131)),x90133)))
% 92.29/92.10 [9020]E(f167(x90201,x90202,x90203),f317(f317(f165(x90201),x90204),x90203))+P1(f317(x90202,f317(f317(f154(x90201),x90203),x90204)))+P1(f317(f317(f225(a897),f701(x90202,x90203,x90201,x90204)),f317(f179(f898(x90201)),x90203)))
% 92.29/92.10 [9045]~P110(x90454)+P1(f317(f317(f319(x90451),f623(x90452,x90453,x90451,x90454)),x90453))+P1(f317(f317(f225(x90454),f2(x90454)),f317(f317(f9(x90451,x90454),x90452),x90453)))
% 92.29/92.10 [9046]~P110(x90464)+P1(f317(f317(f319(x90461),f624(x90462,x90463,x90461,x90464)),x90463))+P1(f317(f317(f224(x90464),f2(x90464)),f317(f317(f9(x90461,x90464),x90462),x90463)))
% 92.29/92.10 [9071]~P1(f317(f29(x90711),x90714))+P1(f317(f317(f319(x90711),f497(x90712,x90713,x90714,x90711)),x90714))+P1(f317(f29(f903(x90711,x90713)),f317(f317(f244(x90711,x90713),x90714),x90712)))
% 92.29/92.10 [9103]P1(f317(f317(f319(x91032),f730(x91031,x91033,x91032,x91034)),f317(f162(x91032),x91033)))+P1(f317(x91031,f317(f317(f154(x91032),x91033),x91034)))+~P1(f317(f317(f225(a897),x91034),f317(f179(f898(x91032)),x91033)))
% 92.29/92.10 [9234]P1(f317(f317(f224(a897),x92344),f317(f179(f898(x92342)),f167(x92342,x92343,x92341))))+P1(f317(f317(f225(a897),f702(x92341,x92342,x92343,x92344)),x92344))+~P1(f317(f317(f224(a897),x92344),f317(f179(f898(x92342)),x92341)))
% 92.29/92.10 [9390]E(f167(x93901,x93902,x93903),f317(f317(f165(x93901),x93904),x93903))+~P1(f317(x93902,f317(f317(f154(x93901),x93903),f701(x93902,x93903,x93901,x93904))))+P1(f317(f317(f225(a897),x93904),f317(f179(f898(x93901)),x93903)))
% 92.29/92.10 [9397]E(f167(x93971,x93972,x93973),f317(f317(f165(x93971),x93974),x93973))+~P1(f317(x93972,f317(f317(f154(x93971),x93973),f701(x93972,x93973,x93971,x93974))))+P1(f317(x93972,f317(f317(f154(x93971),x93973),x93974)))
% 92.29/92.10 [9401]~P1(f317(f29(x94011),x94013))+~P1(f317(f29(x94012),f317(x94014,f497(x94014,x94012,x94013,x94011))))+P1(f317(f29(f903(x94011,x94012)),f317(f317(f244(x94011,x94012),x94013),x94014)))
% 92.29/92.10 [9409]~P110(x94091)+~P1(f317(f317(f224(x94091),f2(x94091)),f317(x94093,f624(x94093,x94094,x94092,x94091))))+P1(f317(f317(f224(x94091),f2(x94091)),f317(f317(f9(x94092,x94091),x94093),x94094)))
% 92.29/92.10 [9410]~P110(x94101)+~P1(f317(f317(f225(x94101),f2(x94101)),f317(x94103,f623(x94103,x94104,x94102,x94101))))+P1(f317(f317(f225(x94101),f2(x94101)),f317(f317(f9(x94102,x94101),x94103),x94104)))
% 92.29/92.10 [9418]~E(f317(f179(f898(x94184)),x94182),f317(f179(f898(x94184)),x94183))+P1(f317(f317(f319(f903(f898(x94184),f898(x94184))),f317(f317(f242(f898(x94184),f898(x94184)),x94183),x94182)),f148(x94184,x94181)))+P1(f317(f317(f225(a897),f634(x94181,x94182,x94183,x94184)),f317(f179(f898(x94184)),x94183)))
% 92.29/92.10 [9470]~P1(f317(x94703,f317(f317(f154(x94702),x94704),f702(x94704,x94702,x94703,x94701))))+P1(f317(f317(f224(a897),x94701),f317(f179(f898(x94702)),f167(x94702,x94703,x94704))))+~P1(f317(f317(f224(a897),x94701),f317(f179(f898(x94702)),x94704)))
% 92.29/92.10 [9551]E(f317(f317(f165(x95511),f638(x95512,x95513,x95514,x95511)),x95513),f317(f317(f165(x95511),f638(x95512,x95513,x95514,x95511)),x95514))+~P1(f317(f317(f319(f903(f898(x95511),f898(x95511))),f317(f317(f242(f898(x95511),f898(x95511)),x95514),x95513)),f137(x95511,x95512)))+P1(f317(f317(f225(a897),f317(f179(f898(x95511)),x95514)),f317(f179(f898(x95511)),x95513)))
% 92.29/92.10 [9616]~P1(f317(f317(f225(a897),f2(a897)),x96163))+~P1(f317(f317(f225(a897),x96164),x96161))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x96161),f41(a897,x96162,x96163))),x96164)),f317(f317(f75(a897),x96161),x96163)))
% 92.29/92.10 [9807]~P109(x98072)+~P1(f317(f317(f224(x98072),f317(x98073,f873(x98074,x98073,x98071,x98072))),f317(x98074,f873(x98074,x98073,x98071,x98072))))+P1(f317(f317(f224(f904(x98071,x98072)),x98073),x98074))
% 92.29/92.10 [9909]~P68(x99091)+E(f317(f317(f6(a897,x99091),f317(f317(f18(a897,x99091,x99091),f317(f317(f8(x99091,f904(x99091,x99091),a897),f23(x99091)),x99092)),f317(f317(f8(a897,x99091,a897),x99092),f317(f317(f7(a897,a897,a897),f74(a897)),f72(a897))))),f293(a897,x99093,x99094)),f317(f317(f23(x99091),f317(x99092,x99093)),f317(x99092,f317(f317(f74(a897),x99094),f72(a897)))))+~P1(f317(f317(f224(a897),x99093),x99094))
% 92.29/92.10 [9984]~P36(x99843,f317(f317(f279(x99843,x99843,x99843),x99842),f297(x99843,x99842)))+~P1(f317(f317(f319(f903(x99843,x99843)),f317(f317(f242(x99843,x99843),f317(x99841,f317(a102,f813(x99842,x99841,x99843)))),f317(x99841,f813(x99842,x99841,x99843)))),f297(x99843,x99842)))+E(f317(x99841,f317(f317(f74(a897),f812(x99842,x99841,x99843)),x99844)),f317(x99841,f812(x99842,x99841,x99843)))
% 92.29/92.10 [6847]~P3(x68471)+E(f317(f317(f31(x68471),f317(f317(f75(x68471),x68472),x68473)),x68474),f317(f317(f75(x68471),x68472),f317(f317(f31(x68471),x68473),x68474)))+~P1(f317(f317(f277(x68471),x68474),x68473))
% 92.29/92.10 [6934]E(f317(f317(f124(x69341),x69342),x69343),x69344)+~E(x69343,f317(f317(f128(x69341),f317(f179(f898(x69341)),x69342)),x69344))+~E(f317(f317(f165(x69341),f317(f179(f898(x69341)),x69342)),x69344),x69342)
% 92.29/92.10 [6990]~P62(x69902)+E(x69901,f2(x69902))+E(f317(f317(f281(x69902),f317(f317(f234(x69902),x69903),x69904)),f317(f317(f234(x69902),x69901),x69904)),f317(f317(f234(x69902),f317(f317(f281(x69902),x69903),x69901)),x69904))
% 92.29/92.10 [7138]~P3(x71381)+E(f317(f317(f31(x71381),f317(f317(f75(x71381),x71382),x71383)),x71384),f317(f317(f75(x71381),f317(f317(f31(x71381),x71382),x71384)),x71383))+~P1(f317(f317(f277(x71381),x71384),x71382))
% 92.29/92.10 [7146]~P107(x71461)+~P1(f317(f317(f224(x71461),x71463),x71464))+P1(f317(f317(f224(x71461),f317(f317(f228(x71461),x71462),x71463)),x71464))
% 92.29/92.10 [7147]~P107(x71471)+~P1(f317(f317(f224(x71471),x71473),x71474))+P1(f317(f317(f224(x71471),f317(f317(f228(x71471),x71472),x71473)),x71474))
% 92.29/92.10 [7148]~P107(x71481)+~P1(f317(f317(f224(x71481),x71482),x71484))+P1(f317(f317(f224(x71481),f317(f317(f228(x71481),x71482),x71483)),x71484))
% 92.29/92.10 [7149]~P107(x71491)+~P1(f317(f317(f224(x71491),x71492),x71494))+P1(f317(f317(f224(x71491),f317(f317(f228(x71491),x71492),x71493)),x71494))
% 92.29/92.10 [7150]~P104(x71501)+~P1(f317(f317(f224(x71501),x71503),x71504))+P1(f317(f317(f224(x71501),f317(f317(f92(x71501),x71502),x71503)),x71504))
% 92.29/92.10 [7151]~P104(x71511)+~P1(f317(f317(f224(x71511),x71512),x71514))+P1(f317(f317(f224(x71511),f317(f317(f92(x71511),x71512),x71513)),x71514))
% 92.29/92.10 [7152]~P107(x71521)+~P1(f317(f317(f225(x71521),x71523),x71524))+P1(f317(f317(f225(x71521),f317(f317(f228(x71521),x71522),x71523)),x71524))
% 92.29/92.10 [7153]~P107(x71531)+~P1(f317(f317(f225(x71531),x71533),x71534))+P1(f317(f317(f225(x71531),f317(f317(f228(x71531),x71532),x71533)),x71534))
% 92.29/92.10 [7154]~P107(x71541)+~P1(f317(f317(f225(x71541),x71542),x71544))+P1(f317(f317(f225(x71541),f317(f317(f228(x71541),x71542),x71543)),x71544))
% 92.29/92.10 [7155]~P107(x71551)+~P1(f317(f317(f225(x71551),x71552),x71554))+P1(f317(f317(f225(x71551),f317(f317(f228(x71551),x71552),x71553)),x71554))
% 92.29/92.10 [7156]~P104(x71561)+~P1(f317(f317(f225(x71561),x71563),x71564))+P1(f317(f317(f225(x71561),f317(f317(f92(x71561),x71562),x71563)),x71564))
% 92.29/92.10 [7157]~P104(x71571)+~P1(f317(f317(f225(x71571),x71572),x71574))+P1(f317(f317(f225(x71571),f317(f317(f92(x71571),x71572),x71573)),x71574))
% 92.29/92.10 [7180]~P1(f317(x71803,x71804))+~P1(f317(x71802,x71804))+P1(f317(f317(f317(f92(f904(x71801,a893)),x71802),x71803),x71804))
% 92.29/92.10 [7442]~P3(x74421)+E(f317(f317(f31(x74421),f317(f317(f234(x74421),x74422),x74423)),f317(f317(f234(x74421),x74424),x74423)),f317(f317(f234(x74421),f317(f317(f31(x74421),x74422),x74424)),x74423))+~P1(f317(f317(f277(x74421),x74424),x74422))
% 92.29/92.10 [7675]~P77(x76751)+E(f317(f317(f74(x76751),f317(x76752,x76753)),f317(f317(f6(a897,x76751),x76752),f317(f292(a897,f317(a102,x76753)),x76754))),f317(f317(f6(a897,x76751),x76752),f317(f292(a897,x76753),x76754)))+~P1(f317(f317(f225(a897),x76753),x76754))
% 92.29/92.10 [7693]E(x76931,x76932)+P1(f317(f317(f162(x76933),x76934),x76932))+~P1(f317(f317(f162(x76933),f317(f317(f141(x76933),x76931),x76934)),x76932))
% 92.29/92.10 [7704]~P107(x77041)+P1(f317(f317(f224(x77041),x77042),x77043))+~P1(f317(f317(f224(x77041),f317(f317(f223(x77041),x77044),x77042)),x77043))
% 92.29/92.10 [7705]~P107(x77051)+P1(f317(f317(f224(x77051),x77052),x77053))+~P1(f317(f317(f224(x77051),f317(f317(f223(x77051),x77054),x77052)),x77053))
% 92.29/92.10 [7706]~P107(x77061)+P1(f317(f317(f224(x77061),x77062),x77063))+~P1(f317(f317(f224(x77061),f317(f317(f223(x77061),x77062),x77064)),x77063))
% 92.29/92.10 [7707]~P107(x77071)+P1(f317(f317(f224(x77071),x77072),x77073))+~P1(f317(f317(f224(x77071),f317(f317(f223(x77071),x77072),x77074)),x77073))
% 92.29/92.10 [7708]~P98(x77081)+P1(f317(f317(f224(x77081),x77082),x77083))+~P1(f317(f317(f224(x77081),f317(f317(f91(x77081),x77084),x77082)),x77083))
% 92.29/92.10 [7709]~P98(x77091)+P1(f317(f317(f224(x77091),x77092),x77093))+~P1(f317(f317(f224(x77091),f317(f317(f91(x77091),x77094),x77092)),x77093))
% 92.29/92.10 [7710]~P98(x77101)+P1(f317(f317(f224(x77101),x77102),x77103))+~P1(f317(f317(f224(x77101),f317(f317(f91(x77101),x77102),x77104)),x77103))
% 92.29/92.10 [7711]~P98(x77111)+P1(f317(f317(f224(x77111),x77112),x77113))+~P1(f317(f317(f224(x77111),f317(f317(f91(x77111),x77112),x77114)),x77113))
% 92.29/92.10 [7712]~P107(x77121)+P1(f317(f317(f225(x77121),x77122),x77123))+~P1(f317(f317(f225(x77121),f317(f317(f223(x77121),x77124),x77122)),x77123))
% 92.29/92.10 [7713]~P107(x77131)+P1(f317(f317(f225(x77131),x77132),x77133))+~P1(f317(f317(f225(x77131),f317(f317(f223(x77131),x77132),x77134)),x77133))
% 92.29/92.10 [7714]~P119(x77141)+P1(f317(f317(f277(x77141),x77142),x77143))+~P1(f317(f317(f277(x77141),f317(f317(f75(x77141),x77144),x77142)),x77143))
% 92.29/92.10 [7715]~P119(x77151)+P1(f317(f317(f277(x77151),x77152),x77153))+~P1(f317(f317(f277(x77151),f317(f317(f75(x77151),x77152),x77154)),x77153))
% 92.29/92.10 [7790]~P1(f317(f317(f319(x77901),x77902),x77904))+P1(f317(f317(f319(x77901),x77902),x77903))+P1(f317(f317(f319(x77901),x77902),f317(f317(f23(f904(x77901,a893)),x77904),x77903)))
% 92.29/92.10 [7791]~P1(f317(f317(f319(x77911),x77912),x77914))+P1(f317(f317(f319(x77911),x77912),x77913))+P1(f317(f317(f319(x77911),x77912),f317(f317(f23(f904(x77911,a893)),x77914),x77913)))
% 92.29/92.10 [7875]P1(f317(x78751,x78752))+P1(f317(x78753,x78752))+~P1(f317(f317(f317(f91(f904(x78754,a893)),x78753),x78751),x78752))
% 92.29/92.10 [7886]~P1(f317(f317(f319(x78861),x78862),x78864))+~P1(f317(f317(f319(x78861),x78862),x78863))+P1(f317(f317(f319(x78861),x78862),f317(f317(f92(f904(x78861,a893)),x78863),x78864)))
% 92.29/92.10 [7887]~P1(f317(f317(f319(x78871),x78872),x78874))+~P1(f317(f317(f319(x78871),x78872),x78873))+P1(f317(f317(f319(x78871),x78872),f317(f317(f92(f904(x78871,a893)),x78873),x78874)))
% 92.29/92.10 [7935]~P107(x79351)+~P1(f317(f29(x79351),x79354))+E(f317(f317(f59(x79351,x79351,f228(x79351)),x79352),f317(f317(f299(x79351),x79353),x79354)),f317(f317(f228(x79351),x79353),f317(f317(f59(x79351,x79351,f228(x79351)),x79352),x79354)))
% 92.29/92.10 [7936]~P107(x79361)+~P1(f317(f29(x79361),x79364))+E(f317(f317(f59(x79361,x79361,f223(x79361)),x79362),f317(f317(f299(x79361),x79363),x79364)),f317(f317(f223(x79361),x79363),f317(f317(f59(x79361,x79361,f223(x79361)),x79362),x79364)))
% 92.29/92.10 [7937]~P98(x79371)+~P1(f317(f29(x79371),x79374))+E(f317(f317(f59(x79371,x79371,f91(x79371)),x79372),f317(f317(f299(x79371),x79373),x79374)),f317(f317(f91(x79371),x79373),f317(f317(f59(x79371,x79371,f91(x79371)),x79372),x79374)))
% 92.29/92.10 [7938]~P104(x79381)+~P1(f317(f29(x79381),x79384))+E(f317(f317(f59(x79381,x79381,f92(x79381)),x79382),f317(f317(f299(x79381),x79383),x79384)),f317(f317(f92(x79381),x79383),f317(f317(f59(x79381,x79381,f92(x79381)),x79382),x79384)))
% 92.29/92.10 [7940]~P139(x79401)+~P93(x79401)+E(f317(f317(f23(x79401),f317(f317(f75(x79401),f317(f94(x79401),x79402)),x79403)),f317(f317(f75(x79401),f317(f94(x79401),x79402)),x79404)),f317(f317(f75(x79401),f317(f94(x79401),x79402)),f317(f317(f23(x79401),x79403),x79404)))
% 92.29/92.10 [7941]~P142(x79411)+~P93(x79411)+E(f317(f317(f74(x79411),f317(f317(f75(x79411),f317(f94(x79411),x79412)),x79413)),f317(f317(f75(x79411),f317(f94(x79411),x79412)),x79414)),f317(f317(f75(x79411),f317(f94(x79411),x79412)),f317(f317(f74(x79411),x79413),x79414)))
% 92.29/92.10 [8056]E(x80561,x80562)+P1(f317(f317(f319(x80563),x80561),f317(f162(x80563),x80564)))+~P1(f317(f317(f319(x80563),x80561),f317(f162(x80563),f317(f317(f141(x80563),x80562),x80564))))
% 92.29/92.10 [8227]P54(x82271,x82272,x82273)+~P54(x82271,x82272,x82274)+~P1(f317(f317(f224(f904(f903(x82271,x82272),a893)),x82273),x82274))
% 92.29/92.10 [8274]P1(f317(f317(f319(x82741),x82742),x82743))+P1(f317(f317(f319(x82741),x82742),x82744))+~P1(f317(f317(f319(x82741),x82742),f317(f317(f91(f904(x82741,a893)),x82744),x82743)))
% 92.29/92.10 [8275]P1(f317(f317(f319(x82751),x82752),x82753))+P1(f317(f317(f319(x82751),x82752),x82754))+~P1(f317(f317(f319(x82751),x82752),f317(f317(f91(f904(x82751,a893)),x82754),x82753)))
% 92.29/92.10 [8283]~P52(x82831,x82834,x82833)+~P1(f317(f317(f319(x82831),x82832),x82834))+P1(f317(f317(f319(f903(x82831,x82831)),f317(f317(f242(x82831,x82831),x82832),x82832)),x82833))
% 92.29/92.10 [8284]~P52(x82841,x82844,x82843)+~P1(f317(f317(f319(x82841),x82842),x82844))+P1(f317(f317(f319(f903(x82841,x82841)),f317(f317(f242(x82841,x82841),x82842),x82842)),x82843))
% 92.29/92.10 [8285]~P52(x82851,x82854,x82853)+~P1(f317(f317(f319(x82851),x82852),x82854))+P1(f317(f317(f319(f903(x82851,x82851)),f317(f317(f242(x82851,x82851),x82852),x82852)),x82853))
% 92.29/92.10 [8297]~P1(f317(f29(x82972),x82974))+~P1(f317(f29(x82971),x82973))+P1(f317(f29(f903(x82971,x82972)),f317(f317(f244(x82971,x82972),x82973),f317(f16(f904(x82972,a893),x82971),x82974))))
% 92.29/92.10 [8298]~P1(f317(f317(f319(x82981),x82982),x82984))+~P1(f317(f317(f224(f904(x82981,a893)),x82983),x82984))+P1(f317(f317(f224(f904(x82981,a893)),f317(f317(f299(x82981),x82982),x82983)),x82984))
% 92.29/92.10 [8305]~P76(x83052)+~P144(x83052)+E(f317(f317(f9(x83051,x83052),f317(f317(f8(a897,x83052,x83051),f90(x83052)),x83053)),x83054),f317(f90(x83052),f317(f317(f9(x83051,a897),x83053),x83054)))
% 92.29/92.10 [8306]~P76(x83062)+~P140(x83062)+E(f317(f317(f9(x83061,x83062),f317(f317(f8(a1,x83062,x83061),f93(x83062)),x83063)),x83064),f317(f93(x83062),f317(f317(f9(x83061,a1),x83063),x83064)))
% 92.29/92.10 [8330]E(f317(f317(f23(f904(x83301,a893)),x83302),f317(f317(f23(f904(x83301,a893)),x83303),x83304)),x83304)+~P1(f317(f317(f224(f904(x83301,a893)),x83302),x83303))+~P1(f317(f317(f224(f904(x83301,a893)),x83304),x83302))
% 92.29/92.10 [8427]~P1(f317(f29(x84271),x84274))+E(f317(f317(f23(a897),f317(f317(f6(x84271,a897),x84272),x84273)),f317(f317(f6(x84271,a897),x84272),x84274)),f317(f317(f6(x84271,a897),x84272),f317(f317(f23(f904(x84271,a893)),x84273),x84274)))+~P1(f317(f317(f224(f904(x84271,a893)),x84274),x84273))
% 92.29/92.10 [8579]~P8(x85791,x85794,x85793)+~P1(f317(f317(f319(x85791),x85792),x85794))+P1(f317(f317(f319(x85791),x85792),f317(f275(x85791,x85791,x85793),f317(f317(f299(x85791),x85792),f178(f904(x85791,a893))))))
% 92.29/92.10 [8640]~P1(f317(f317(f224(f904(x86401,a893)),x86402),x86403))+~P1(f317(f317(f224(f904(x86401,a893)),x86402),x86404))+P1(f317(f317(f224(f904(x86401,a893)),x86402),f317(f317(f92(f904(x86401,a893)),x86403),x86404)))
% 92.29/92.10 [8742]E(x87421,f178(f904(x87422,a893)))+P1(f317(f29(x87423),x87424))+~P1(f317(f29(f903(x87423,x87422)),f317(f317(f244(x87423,x87422),x87424),f317(f16(f904(x87422,a893),x87423),x87421))))
% 92.29/92.10 [8743]E(x87431,f178(f904(x87432,a893)))+P1(f317(f29(x87433),x87434))+~P1(f317(f29(f903(x87432,x87433)),f317(f317(f244(x87432,x87433),x87431),f317(f16(f904(x87433,a893),x87432),x87434))))
% 92.29/92.10 [8815]P1(f317(f317(f319(x88151),x88152),f306(x88151,x88153)))+~P1(f317(f317(f319(x88151),x88154),f306(x88151,x88153)))+~P1(f317(f317(f319(f903(x88151,x88151)),f317(f317(f242(x88151,x88151),x88152),x88154)),x88153))
% 92.29/92.10 [8816]P1(f317(f317(f319(x88161),x88162),f306(x88161,x88163)))+~P1(f317(f317(f319(x88161),x88164),f306(x88161,x88163)))+~P1(f317(f317(f319(f903(x88161,x88161)),f317(f317(f242(x88161,x88161),x88162),x88164)),x88163))
% 92.29/92.10 [8873]~P36(x88731,x88734)+P1(f317(f317(f319(f903(x88731,x88731)),f317(f317(f242(x88731,x88731),x88733),x88732)),f297(x88731,x88734)))+P36(x88731,f317(f317(f299(f903(x88731,x88731)),f317(f317(f242(x88731,x88731),x88732),x88733)),x88734))
% 92.29/92.10 [8874]~P57(x88741,x88744)+P1(f317(f317(f319(f903(x88741,x88741)),f317(f317(f242(x88741,x88741),x88743),x88742)),f297(x88741,x88744)))+P57(x88741,f317(f317(f299(f903(x88741,x88741)),f317(f317(f242(x88741,x88741),x88742),x88743)),x88744))
% 92.29/92.10 [8956]~E(x89562,x89563)+~P1(f317(f317(f319(x89561),x89562),f317(f162(x89561),x89564)))+P1(f317(f317(f319(f903(x89561,x89561)),f317(f317(f242(x89561,x89561),x89562),x89563)),f317(f162(f903(x89561,x89561)),f317(f317(f171(x89561,x89561),x89564),x89564))))
% 92.29/92.10 [9044]~E(x90443,x90444)+P1(f317(f317(f247(x90441,x90441,a893),a314),x90442))+~P1(f317(f317(f319(f903(x90441,x90441)),x90442),f317(f162(f903(x90441,x90441)),f317(f317(f171(x90441,x90441),x90443),x90444))))
% 92.29/92.10 [9088]P1(f317(f317(f319(f903(f898(x90881),f898(x90881))),f317(f317(f242(f898(x90881),f898(x90881)),x90882),x90883)),f137(x90881,x90884)))+~E(f317(f317(f165(x90881),f317(f179(f898(x90881)),x90882)),x90883),x90882)+~P1(f317(f317(f225(a897),f317(f179(f898(x90881)),x90882)),f317(f179(f898(x90881)),x90883)))
% 92.29/92.10 [9090]~P51(x90901,x90904)+~P1(f317(f317(f319(f903(x90901,x90901)),f317(f317(f242(x90901,x90901),x90903),x90902)),x90904))+P1(f317(f317(f319(f903(x90901,x90901)),f317(f317(f242(x90901,x90901),x90902),x90903)),x90904))
% 92.29/92.10 [9091]~P51(x90911,x90914)+~P1(f317(f317(f319(f903(x90911,x90911)),f317(f317(f242(x90911,x90911),x90913),x90912)),x90914))+P1(f317(f317(f319(f903(x90911,x90911)),f317(f317(f242(x90911,x90911),x90912),x90913)),x90914))
% 92.29/92.10 [9184]~P1(f317(f29(x91841),x91844))+P1(f317(f317(f319(x91841),f353(x91842,x91843,x91844,x91841)),x91844))+P1(f317(f29(x91843),f317(f317(f35(x91841,f904(x91843,a893)),x91844),x91842)))
% 92.29/92.10 [9185]~P1(f317(f29(x91851),x91854))+P1(f317(f317(f319(x91851),f555(x91852,x91853,x91854,x91851)),x91854))+P1(f317(f29(x91853),f317(f317(f35(x91851,f904(x91853,a893)),x91854),x91852)))
% 92.29/92.10 [9270]P1(f317(f317(f319(f903(x92701,x92701)),x92702),f317(f317(f279(x92701,x92701,x92701),x92703),f297(x92701,x92703))))+~P1(f317(f317(f225(a897),f2(a897)),x92704))+~P1(f317(f317(f319(f903(x92701,x92701)),x92702),f317(f317(f173(f903(x92701,x92701),a893),x92704),x92703)))
% 92.29/92.10 [9277]~P36(x92771,x92772)+~P1(f317(f317(f319(f903(x92771,x92771)),f317(f317(f242(x92771,x92771),x92774),x92773)),x92772))+~P1(f317(f317(f319(f903(x92771,x92771)),f317(f317(f242(x92771,x92771),x92773),x92774)),x92772))
% 92.29/92.10 [9278]~P36(x92781,x92782)+~P1(f317(f317(f319(f903(x92781,x92781)),f317(f317(f242(x92781,x92781),x92784),x92783)),x92782))+~P1(f317(f317(f319(f903(x92781,x92781)),f317(f317(f242(x92781,x92781),x92783),x92784)),x92782))
% 92.29/92.10 [9408]~P1(f317(f29(x94081),x94084))+E(f317(f317(f6(x94081,a897),f317(f317(f8(f904(x94082,a893),a897,x94081),f30(x94082)),x94083)),x94084),f317(f30(f903(x94081,x94082)),f317(f317(f244(x94081,x94082),x94084),x94083)))+P1(f317(f317(f319(x94081),f503(x94083,x94082,x94084,x94081)),x94084))
% 92.29/92.10 [9412]~P1(f317(f127(x94121),x94122))+P1(f317(f127(x94121),f317(f317(f149(x94121,x94122),x94123),x94124)))+P1(f317(f317(f319(x94121),x94124),f317(f317(f23(f904(x94121,a893)),f317(f162(x94121),x94122)),f317(f317(f299(x94121),f317(f317(f154(x94121),x94122),x94123)),f178(f904(x94121,a893))))))
% 92.29/92.10 [9429]~P1(f317(f29(x94292),x94293))+~P1(f317(f29(x94291),f317(x94294,f353(x94294,x94291,x94293,x94292))))+P1(f317(f29(x94291),f317(f317(f35(x94292,f904(x94291,a893)),x94293),x94294)))
% 92.29/92.10 [9430]~P1(f317(f29(x94302),x94303))+~P1(f317(f29(x94301),f317(x94304,f555(x94304,x94301,x94303,x94302))))+P1(f317(f29(x94301),f317(f317(f35(x94302,f904(x94301,a893)),x94303),x94304)))
% 92.29/92.10 [9508]~P1(f317(f317(f319(f903(x95081,x95081)),x95082),f317(f317(f279(x95081,x95081,x95081),x95084),f297(x95081,x95084))))+P1(f317(f317(f319(f903(x95081,x95081)),x95082),f317(f317(f279(x95081,x95081,x95081),x95083),f297(x95081,x95083))))+~P1(f317(f317(f224(f904(f903(x95081,x95081),a893)),x95084),x95083))
% 92.29/92.10 [9518]E(f317(f317(f165(x95181),f638(x95184,x95183,x95182,x95181)),x95183),f317(f317(f165(x95181),f638(x95184,x95183,x95182,x95181)),x95182))+~P1(f317(f317(f319(f903(f898(x95181),f898(x95181))),f317(f317(f242(f898(x95181),f898(x95181)),x95182),x95183)),f137(x95181,x95184)))+E(f317(f317(f165(x95181),f317(f179(f898(x95181)),x95182)),x95183),x95182)
% 92.29/92.10 [9534]~P1(f317(f29(x95341),x95344))+E(f317(f317(f6(x95341,a897),f317(f317(f8(f904(x95342,a893),a897,x95341),f30(x95342)),x95343)),x95344),f317(f30(f903(x95341,x95342)),f317(f317(f244(x95341,x95342),x95344),x95343)))+~P1(f317(f29(x95342),f317(x95343,f503(x95343,x95342,x95344,x95341))))
% 92.29/92.10 [9538]~E(f317(f179(f898(x95381)),x95383),f317(f179(f898(x95381)),x95382))+P1(f317(f317(f319(f903(f898(x95381),f898(x95381))),f317(f317(f242(f898(x95381),f898(x95381)),x95382),x95383)),f148(x95381,x95384)))+P1(f317(f317(f319(f903(x95381,x95381)),f641(x95384,x95383,x95382,x95381)),f317(f162(f903(x95381,x95381)),f317(f317(f171(x95381,x95381),x95382),x95383))))
% 92.29/92.10 [9627]~P1(f317(f317(f319(f903(f898(x96271),f898(x96271))),f317(f317(f242(f898(x96271),f898(x96271)),x96272),x96273)),f137(x96271,x96274)))+E(f317(f317(f165(x96271),f317(f179(f898(x96271)),x96272)),x96273),x96272)+P1(f317(f317(f225(a897),f638(x96274,x96273,x96272,x96271)),f317(f317(f228(a897),f317(f179(f898(x96271)),x96272)),f317(f179(f898(x96271)),x96273))))
% 92.29/92.10 [9651]~P1(f317(f317(f319(f903(f898(x96511),f898(x96511))),f317(f317(f242(f898(x96511),f898(x96511)),x96512),x96513)),f137(x96511,x96514)))+P1(f317(f317(f225(a897),f317(f179(f898(x96511)),x96512)),f317(f179(f898(x96511)),x96513)))+P1(f317(f317(f225(a897),f638(x96514,x96513,x96512,x96511)),f317(f317(f228(a897),f317(f179(f898(x96511)),x96512)),f317(f179(f898(x96511)),x96513))))
% 92.29/92.10 [10051]~P1(f317(f317(f319(f903(f898(x100511),f898(x100511))),f317(f317(f242(f898(x100511),f898(x100511)),x100512),x100513)),f137(x100511,x100514)))+E(f317(f317(f165(x100511),f317(f179(f898(x100511)),x100512)),x100513),x100512)+P1(f317(f317(f319(f903(x100511,x100511)),f317(f317(f242(x100511,x100511),f317(f317(f154(x100511),x100512),f638(x100514,x100513,x100512,x100511))),f317(f317(f154(x100511),x100513),f638(x100514,x100513,x100512,x100511)))),x100514))
% 92.29/92.10 [10052]~P1(f317(f317(f319(f903(f898(x100521),f898(x100521))),f317(f317(f242(f898(x100521),f898(x100521)),x100522),x100523)),f137(x100521,x100524)))+P1(f317(f317(f225(a897),f317(f179(f898(x100521)),x100522)),f317(f179(f898(x100521)),x100523)))+P1(f317(f317(f319(f903(x100521,x100521)),f317(f317(f242(x100521,x100521),f317(f317(f154(x100521),x100522),f638(x100524,x100523,x100522,x100521))),f317(f317(f154(x100521),x100523),f638(x100524,x100523,x100522,x100521)))),x100524))
% 92.29/92.10 [10119]~E(f317(f179(f898(x101191)),x101192),f317(f179(f898(x101191)),x101193))+P1(f317(f317(f319(f903(f898(x101191),f898(x101191))),f317(f317(f242(f898(x101191),f898(x101191)),x101192),x101193)),f148(x101191,x101194)))+~P1(f317(f317(f319(f903(x101191,x101191)),f317(f317(f242(x101191,x101191),f317(f317(f154(x101191),x101192),f634(x101194,x101193,x101192,x101191))),f317(f317(f154(x101191),x101193),f634(x101194,x101193,x101192,x101191)))),x101194))
% 92.29/92.10 [10267]~P77(x102671)+~P1(f317(f29(x102672),x102674))+E(f317(f155(x102671),f317(f317(f144(x102672,x102671),x102673),f84(f898(x102672),f317(f317(f18(f898(x102672),a893,a893),f317(f317(f8(a893,f904(a893,a893),f898(x102672)),a315),f317(f317(f7(f898(x102672),f904(x102672,a893),a893),f317(f317(f8(f904(x102672,a893),f904(f904(x102672,a893),a893),f898(x102672)),a314),f162(x102672))),x102674))),f127(x102672))))),f221(x102672,x102671,x102673,x102674))
% 92.29/92.10 [7523]~P61(x75232)+E(x75231,f2(x75232))+E(f317(f317(f281(x75232),f317(f317(f74(x75232),x75233),f317(f317(f75(x75232),x75234),x75231))),x75231),f317(f317(f74(x75232),x75234),f317(f317(f281(x75232),x75233),x75231)))
% 92.29/92.10 [7524]~P3(x75242)+E(x75241,f2(x75242))+E(f317(f317(f31(x75242),f317(f317(f74(x75242),x75243),f317(f317(f75(x75242),x75244),x75241))),x75241),f317(f317(f74(x75242),x75244),f317(f317(f31(x75242),x75243),x75241)))
% 92.29/92.10 [7525]~P3(x75252)+E(x75251,f2(x75252))+E(f317(f317(f31(x75252),f317(f317(f74(x75252),x75253),f317(f317(f75(x75252),x75251),x75254))),x75251),f317(f317(f74(x75252),x75254),f317(f317(f31(x75252),x75253),x75251)))
% 92.29/92.10 [7754]~P62(x77542)+E(x77541,f2(x77542))+E(f317(f317(f281(x77542),f317(f317(f23(x77542),x77543),f317(f317(f75(x77542),x77541),x77544))),x77541),f317(f317(f23(x77542),f317(f317(f281(x77542),x77543),x77541)),x77544))
% 92.29/92.10 [7755]~P61(x77552)+E(x77551,f2(x77552))+E(f317(f317(f281(x77552),f317(f317(f74(x77552),x77553),f317(f317(f75(x77552),x77554),x77551))),x77551),f317(f317(f74(x77552),f317(f317(f281(x77552),x77553),x77551)),x77554))
% 92.29/92.10 [7756]~P62(x77562)+E(x77561,f2(x77562))+E(f317(f317(f281(x77562),f317(f317(f74(x77562),x77563),f317(f317(f75(x77562),x77561),x77564))),x77561),f317(f317(f74(x77562),f317(f317(f281(x77562),x77563),x77561)),x77564))
% 92.29/92.10 [8459]~P1(f317(f150(x84591,x84593),x84594))+~P1(f317(f150(x84591,x84592),x84594))+P1(f317(f150(x84591,f317(f317(f92(f904(x84591,a893)),x84592),x84593)),x84594))
% 92.29/92.10 [8831]~E(f317(f317(f279(x88311,x88311,x88311),x88312),x88314),f178(f904(f903(x88311,x88311),a893)))+~E(f317(f317(f279(x88311,x88311,x88311),x88312),x88313),f178(f904(f903(x88311,x88311),a893)))+E(f317(f317(f279(x88311,x88311,x88311),x88312),f317(f317(f91(f904(f903(x88311,x88311),a893)),x88313),x88314)),f178(f904(f903(x88311,x88311),a893)))
% 92.29/92.10 [8957]~P1(f317(f317(f224(f904(x89571,a893)),x89573),x89574))+~P1(f317(f317(f224(f904(x89571,a893)),x89572),x89574))+P1(f317(f317(f224(f904(x89571,a893)),f317(f317(f91(f904(x89571,a893)),x89572),x89573)),x89574))
% 92.29/92.10 [9334]~P1(f317(f29(x93341),x93344))+~P1(f317(f29(x93341),x93343))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f6(x93341,a897),x93342),x93343)),f317(f317(f6(x93341,a897),x93342),x93344))),f317(f317(f6(x93341,a897),x93342),f317(f317(f92(f904(x93341,a893)),x93343),x93344))),f317(f317(f6(x93341,a897),x93342),f317(f317(f91(f904(x93341,a893)),x93343),x93344)))
% 92.29/92.10 [9426]~P1(f317(f317(f319(x94261),x94263),x94262))+~P1(f317(f317(f224(f904(x94261,a893)),x94262),f317(f317(f299(x94261),x94263),x94264)))+P1(f317(f317(f224(f904(x94261,a893)),f317(f317(f23(f904(x94261,a893)),x94262),f317(f317(f299(x94261),x94263),f178(f904(x94261,a893))))),x94264))
% 92.29/92.10 [9601]~P1(f317(f317(f319(x96011),x96013),x96012))+P1(f317(f317(f224(f904(x96011,a893)),x96012),f317(f317(f299(x96011),x96013),x96014)))+~P1(f317(f317(f224(f904(x96011,a893)),f317(f317(f23(f904(x96011,a893)),x96012),f317(f317(f299(x96011),x96013),f178(f904(x96011,a893))))),x96014))
% 92.29/92.10 [9602]~P1(f317(f317(f319(x96021),x96023),x96022))+P1(f317(f317(f224(f904(x96021,a893)),x96022),f317(f317(f299(x96021),x96023),x96024)))+~P1(f317(f317(f224(f904(x96021,a893)),f317(f317(f23(f904(x96021,a893)),x96022),f317(f317(f299(x96021),x96023),f178(f904(x96021,a893))))),x96024))
% 92.29/92.10 [9626]~P1(f317(f317(f224(f904(x96261,a893)),x96262),x96264))+P1(f317(f317(f224(f904(x96261,a893)),x96262),f317(f317(f299(x96261),x96263),x96264)))+~P1(f317(f317(f224(f904(x96261,a893)),f317(f317(f23(f904(x96261,a893)),x96262),f317(f317(f299(x96261),x96263),f178(f904(x96261,a893))))),x96264))
% 92.29/92.10 [9691]~P1(f317(f317(f224(a897),x96911),x96913))+~P1(f317(f317(f225(a897),x96912),x96914))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x96911),x96912)),f317(f317(f242(a897,a897),x96913),x96914))),a26))
% 92.29/92.10 [9692]~P1(f317(f317(f224(a897),x96922),x96924))+~P1(f317(f317(f224(a897),x96921),x96923))+P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),f317(f317(f242(a897,a897),x96921),x96922)),f317(f317(f242(a897,a897),x96923),x96924))),a65))
% 92.29/92.10 [9982]~P1(f317(f317(f319(f898(x99821)),x99824),f151(x99821,x99823)))+~P1(f317(f317(f319(f898(x99821)),x99824),f151(x99821,x99822)))+P1(f317(f150(x99821,f317(f317(f92(f904(x99821,a893)),f317(f317(f7(x99821,f904(x99821,a893),a893),f319(x99821)),x99822)),f317(f317(f7(x99821,f904(x99821,a893),a893),f319(x99821)),x99823))),x99824))
% 92.29/92.10 [10085]~P24(x100851,f904(f904(x100851,a893),a893),f317(f317(f7(x100851,f904(f903(x100851,x100851),a893),f904(f904(x100851,a893),a893)),f317(f317(f8(f904(x100851,a893),f904(f904(f903(x100851,x100851),a893),f904(f904(x100851,a893),a893)),x100851),f56(x100851)),f317(f317(f7(x100851,f904(x100851,a893),f904(x100851,a893)),f299(x100851)),f178(f904(x100851,a893))))),x100853),x100852)+~P1(f317(f317(f319(x100851),x100854),x100852))+E(f317(f317(f23(f904(f904(x100851,a893),a893)),f317(f317(f56(x100851),x100852),x100853)),f317(f317(f56(x100851),f317(f317(f299(x100851),x100854),f178(f904(x100851,a893)))),x100853)),f317(f317(f56(x100851),f317(f317(f23(f904(x100851,a893)),x100852),f317(f317(f299(x100851),x100854),f178(f904(x100851,a893))))),x100853))
% 92.29/92.10 [10221]~P52(x102211,x102212,x102214)+~P1(f317(f317(f319(f903(x102211,x102211)),x102213),x102214))+P1(f317(f317(f247(x102211,x102211,a893),f317(f317(f7(x102211,f904(x102211,a893),f904(x102211,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x102211,a893),f904(x102211,a893)),x102211),f8(a893,a893,x102211)),f317(f317(f8(a893,f904(a893,a893),x102211),a315),f317(f317(f7(x102211,f904(x102211,a893),a893),f319(x102211)),x102212)))),f317(f317(f7(x102211,f904(x102211,a893),a893),f319(x102211)),x102212))),x102213))
% 92.29/92.10 [10233]P1(f317(f29(x102331),x102332))+~P1(f317(f29(x102333),f317(f300(x102331,x102333,x102334),x102332)))+~P1(f317(f29(x102331),f317(f252(x102331),f317(f317(f18(x102331,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102331),a315),f317(f317(f7(x102331,f904(x102331,a893),a893),f319(x102331)),x102332))),f317(f317(f7(x102331,x102333,a893),f317(f317(f8(x102333,f904(x102333,a893),x102331),a314),x102334)),f317(x102334,f532(x102334,x102333,x102332,x102331)))))))
% 92.29/92.10 [8211]~P62(x82112)+E(x82111,f2(x82112))+E(f317(f317(f281(x82112),f317(f317(f23(x82112),f317(f317(f75(x82112),x82111),x82113)),x82114)),x82111),f317(f317(f23(x82112),x82113),f317(f317(f281(x82112),x82114),x82111)))
% 92.29/92.10 [8212]~P62(x82122)+E(x82121,f2(x82122))+E(f317(f317(f281(x82122),f317(f317(f74(x82122),f317(f317(f75(x82122),x82121),x82123)),x82124)),x82121),f317(f317(f74(x82122),x82123),f317(f317(f281(x82122),x82124),x82121)))
% 92.29/92.10 [9117]~E(f317(f317(f279(x91171,x91171,x91171),x91173),x91174),f178(f904(f903(x91171,x91171),a893)))+~E(f317(f317(f279(x91171,x91171,x91171),x91172),x91174),f178(f904(f903(x91171,x91171),a893)))+E(f317(f317(f279(x91171,x91171,x91171),f317(f317(f91(f904(f903(x91171,x91171),a893)),x91172),x91173)),x91174),f178(f904(f903(x91171,x91171),a893)))
% 92.29/92.10 [9899]~P1(f317(f150(x98991,x98993),x98994))+~P1(f317(f150(x98991,x98992),x98994))+P1(f317(f150(x98991,f317(f317(f18(x98991,a893,a893),f317(f317(f8(a893,f904(a893,a893),x98991),a315),x98992)),x98993)),x98994))
% 92.29/92.10 [10159]P1(f317(x101591,f525(x101592,x101593,x101591,x101594)))+~P1(f317(f29(x101594),f317(f252(x101594),x101591)))+P1(f317(f29(x101593),f317(f252(x101593),f317(f317(f8(f904(x101594,a893),a893,x101593),f81(x101594)),f317(f317(f8(f904(x101594,a893),f904(x101594,a893),x101593),f317(f18(x101594,a893,a893),f317(f317(f8(a893,f904(a893,a893),x101594),a315),x101591))),x101592)))))
% 92.29/92.10 [10177]~P1(f317(f29(x101772),f317(f252(x101772),x101773)))+~P1(f317(f29(x101771),f317(f252(x101771),f317(f317(f7(x101771,x101772,a893),x101774),f525(x101774,x101771,x101773,x101772)))))+P1(f317(f29(x101771),f317(f252(x101771),f317(f317(f8(f904(x101772,a893),a893,x101771),f81(x101772)),f317(f317(f8(f904(x101772,a893),f904(x101772,a893),x101771),f317(f18(x101772,a893,a893),f317(f317(f8(a893,f904(a893,a893),x101772),a315),x101773))),x101774)))))
% 92.29/92.10 [10246]~P1(f317(f29(x102461),x102464))+P1(f317(f317(f319(x102461),f773(x102462,x102463,x102464,x102461)),x102464))+P1(f317(f29(x102463),f317(f252(x102463),f317(f317(f8(f904(x102461,a893),a893,x102463),f81(x102461)),f317(f317(f8(f904(x102461,a893),f904(x102461,a893),x102463),f317(f18(x102461,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102461),a315),f317(f317(f7(x102461,f904(x102461,a893),a893),f319(x102461)),x102464)))),x102462)))))
% 92.29/92.10 [10252]~P1(f317(f29(x102522),x102523))+~P1(f317(f29(x102521),f317(f252(x102521),f317(f317(f7(x102521,x102522,a893),x102524),f773(x102524,x102521,x102523,x102522)))))+P1(f317(f29(x102521),f317(f252(x102521),f317(f317(f8(f904(x102522,a893),a893,x102521),f81(x102522)),f317(f317(f8(f904(x102522,a893),f904(x102522,a893),x102521),f317(f18(x102522,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102522),a315),f317(f317(f7(x102522,f904(x102522,a893),a893),f319(x102522)),x102523)))),x102524)))))
% 92.29/92.10 [5102]~E(x51022,x51024)+E(f159(x51021,x51022,x51023),f159(x51021,x51024,x51025))+~E(x51022,f2(a897))
% 92.29/92.10 [5349]E(x53491,x53492)+~E(f159(x53494,x53493,x53491),f159(x53494,x53495,x53492))+E(x53493,f2(a897))
% 92.29/92.10 [6643]E(x66431,x66432)+~E(f317(x66433,x66431),f317(x66433,x66432))+~P24(x66434,x66435,x66433,f232(f904(x66434,a893)))
% 92.29/92.10 [6644]E(x66441,x66442)+~E(f317(x66443,x66441),f317(x66443,x66442))+~P24(x66444,x66445,x66443,f232(f904(x66444,a893)))
% 92.29/92.10 [7555]E(x75551,x75552)+~P24(x75553,x75554,x75555,f232(f904(x75553,a893)))+~E(f317(f300(x75553,x75554,x75555),x75551),f317(f300(x75553,x75554,x75555),x75552))
% 92.29/92.10 [7809]P24(x78092,x78093,f552(x78094,x78093,x78092,x78091),x78091)+~E(f317(f300(x78093,x78092,x78095),x78094),x78091)+E(x78091,f178(f904(x78092,a893)))
% 92.29/92.10 [8341]~P1(f317(f317(x83413,x83412),x83415))+~P1(f317(f317(x83413,x83414),x83412))+P1(f317(f317(f319(x83411),x83412),f280(x83411,x83413,x83414,x83415)))
% 92.29/92.10 [8342]~P1(f317(f317(x83423,x83422),x83425))+~P1(f317(f317(x83423,x83424),x83422))+P1(f317(f317(f319(x83421),x83422),f289(x83421,x83423,x83424,x83425)))
% 92.29/92.10 [8648]~P24(x86481,x86482,x86483,x86484)+P25(x86481,x86482,x86483,x86484,x86485)+~E(f317(f300(x86481,x86482,x86483),x86484),x86485)
% 92.29/92.10 [8781]~P25(x87811,x87813,x87814,x87812,x87815)+~P1(f317(f29(x87813),x87815))+P1(f317(f29(x87811),x87812))
% 92.29/92.10 [8782]~P25(x87823,x87821,x87824,x87825,x87822)+~P1(f317(f29(x87823),x87825))+P1(f317(f29(x87821),x87822))
% 92.29/92.10 [8914]~P24(x89141,x89143,x89145,f232(f904(x89141,a893)))+~P24(x89143,x89142,x89144,f232(f904(x89143,a893)))+P24(x89141,x89142,f317(f67(x89143,x89142,x89141,x89144),x89145),f232(f904(x89141,a893)))
% 92.29/92.10 [9485]P1(f317(f317(f319(f903(x94851,x94851)),f317(f317(f242(x94851,x94851),x94852),x94853)),f297(x94851,x94854)))+~P1(f317(f317(f319(f903(x94851,x94851)),f317(f317(f242(x94851,x94851),x94852),x94855)),f297(x94851,x94854)))+~P1(f317(f317(f319(f903(x94851,x94851)),f317(f317(f242(x94851,x94851),x94855),x94853)),f297(x94851,x94854)))
% 92.29/92.10 [9525]~P107(x95252)+~P1(f317(f127(x95251),x95255))+P1(f317(f127(x95251),f139(x95251,x95252,x95253,x95254,x95255)))
% 92.29/92.10 [9662]~P25(x96623,x96622,x96624,f232(f904(x96623,a893)),f232(f904(x96622,a893)))+~P25(x96621,x96623,x96625,f232(f904(x96621,a893)),f232(f904(x96623,a893)))+P25(x96621,x96622,f317(f67(x96623,x96622,x96621,x96624),x96625),f232(f904(x96621,a893)),f232(f904(x96622,a893)))
% 92.29/92.10 [5426]~E(x54262,f103(x54261))+E(f317(f317(f124(x54261),x54262),x54263),f317(f317(f141(x54261),x54264),x54265))+~E(x54263,f317(f317(f141(x54261),x54264),x54265))
% 92.29/92.10 [5427]~E(x54272,f103(x54271))+E(f317(f317(f124(x54271),x54272),x54273),f317(f317(f141(x54271),x54274),x54275))+~E(f317(f317(f141(x54271),x54274),x54275),x54273)
% 92.29/92.10 [6600]~E(f317(f179(f898(x66001)),x66005),f317(f179(f898(x66002)),x66004))+E(f317(f317(f144(f903(x66001,x66002),x66002),f246(x66001,x66002)),x66003),x66004)+~E(f317(f317(f171(x66001,x66002),x66005),x66004),x66003)
% 92.29/92.10 [6601]~E(f317(f179(f898(x66011)),x66014),f317(f179(f898(x66012)),x66015))+E(f317(f317(f144(f903(x66011,x66012),x66011),f241(x66011,x66012)),x66013),x66014)+~E(f317(f317(f171(x66011,x66012),x66014),x66015),x66013)
% 92.29/92.10 [7091]~P107(x70911)+~P13(x70911,f317(f317(f144(x70912,x70911),x70913),x70915))+P13(x70911,f317(f317(f144(x70912,x70911),x70913),f317(f126(x70912,x70914),x70915)))
% 92.29/92.10 [7233]~P107(x72331)+P13(x72331,f317(f317(f144(x72332,x72331),x72333),f160(x72332,x72334,x72335)))+~P13(x72331,f317(f317(f144(x72332,x72331),x72333),x72335))
% 92.29/92.10 [7256]~P54(x72563,x72562,x72565)+~P54(x72561,x72563,x72564)+P54(x72561,x72562,f317(f317(f279(x72561,x72563,x72562),x72564),x72565))
% 92.29/92.10 [7350]E(x73501,x73502)+~P24(x73503,x73504,x73505,f232(f904(x73503,a893)))+~E(f317(f317(f144(x73503,x73504),x73505),x73501),f317(f317(f144(x73503,x73504),x73505),x73502))
% 92.29/92.10 [7351]E(x73511,x73512)+~P24(x73513,x73514,x73515,f232(f904(x73513,a893)))+~E(f317(f317(f144(x73513,x73514),x73515),x73511),f317(f317(f144(x73513,x73514),x73515),x73512))
% 92.29/92.10 [7510]~P1(f317(f317(f224(a897),x75101),f317(x75103,x75105)))+P1(f317(f317(f224(a897),x75101),f145(x75102,x75103,x75104)))+~P1(f317(f317(f319(x75102),x75105),f317(f162(x75102),x75104)))
% 92.29/92.10 [7511]~P1(f317(f317(f225(a897),x75111),f317(x75113,x75115)))+P1(f317(f317(f225(a897),x75111),f145(x75112,x75113,x75114)))+~P1(f317(f317(f319(x75112),x75115),f317(f162(x75112),x75114)))
% 92.29/92.10 [7869]~E(x78693,f2(a897))+P1(f317(x78691,x78692))+~P1(f317(f317(f319(x78694),x78692),f317(f162(x78694),f159(x78694,x78693,x78695))))
% 92.29/92.10 [7885]~E(x78851,f2(a897))+~P1(f317(x78852,x78853))+~P1(f317(f317(f319(x78854),x78853),f317(f162(x78854),f159(x78854,x78851,x78855))))
% 92.29/92.10 [7906]P1(f317(x79061,x79062))+~P1(f317(x79061,x79063))+~P1(f317(f317(f319(x79064),x79062),f317(f162(x79064),f159(x79064,x79065,x79063))))
% 92.29/92.10 [7907]P1(f317(x79071,x79072))+~P1(f317(x79071,x79073))+~P1(f317(f317(f319(x79074),x79073),f317(f162(x79074),f159(x79074,x79075,x79072))))
% 92.29/92.10 [7912]~P108(x79121)+P1(f317(f317(f224(f904(x79121,a893)),f293(x79121,x79122,x79123)),f293(x79121,x79124,x79125)))+P1(f317(f317(f224(x79121),x79122),x79123))
% 92.29/92.10 [7933]~P5(x79331)+P1(f317(f317(f224(x79331),f317(f317(f36(x79332,x79331),x79333),x79334)),f317(x79334,x79335)))+~P1(f317(f317(f319(x79332),x79335),x79333))
% 92.29/92.10 [8002]~P24(x80021,x80022,x80024,x80023)+E(f317(f71(x80021,x80022,x80023,x80024),f317(x80024,x80025)),x80025)+~P1(f317(f317(f319(x80021),x80025),x80023))
% 92.29/92.10 [8003]~P24(x80031,x80032,x80034,x80033)+E(f317(f85(x80031,x80032,x80033,x80034),f317(x80034,x80035)),x80035)+~P1(f317(f317(f319(x80031),x80035),x80033))
% 92.29/92.10 [8200]~P1(f317(x82001,x82005))+P1(f317(x82001,f326(x82001,x82002,x82003,x82004)))+~P1(f317(f317(f319(x82004),x82005),x82003))
% 92.29/92.10 [8201]~P1(f317(x82011,x82015))+P1(f317(x82011,f326(x82011,x82012,x82013,x82014)))+~P1(f317(f317(f319(x82014),x82015),x82012))
% 92.29/92.10 [8295]P1(f317(f29(x82951),x82952))+~P1(f317(f29(x82953),x82954))+~P1(f317(f317(f224(f904(x82951,a893)),x82952),f317(f300(x82953,x82951,x82955),x82954)))
% 92.29/92.10 [8304]~P24(x83044,x83041,x83042,f232(f904(x83044,a893)))+~P1(f317(f317(f319(x83044),x83043),x83045))+P1(f317(f317(f319(x83041),f317(x83042,x83043)),f317(f300(x83044,x83041,x83042),x83045)))
% 92.29/92.10 [8462]E(x84621,x84622)+~P24(x84623,x84624,x84625,f317(f317(f91(f904(x84623,a893)),f317(f162(x84623),x84621)),f317(f162(x84623),x84622)))+~E(f317(f317(f144(x84623,x84624),x84625),x84621),f317(f317(f144(x84623,x84624),x84625),x84622))
% 92.29/92.10 [8463]E(x84631,x84632)+~P24(x84633,x84634,x84635,f317(f317(f91(f904(x84633,a893)),f317(f162(x84633),x84631)),f317(f162(x84633),x84632)))+~E(f317(f317(f144(x84633,x84634),x84635),x84631),f317(f317(f144(x84633,x84634),x84635),x84632))
% 92.29/92.10 [8516]~P108(x85161)+~P1(f317(f317(f225(f904(x85161,a893)),f293(x85161,x85164,x85165)),f293(x85161,x85162,x85163)))+P1(f317(f317(f224(x85161),x85162),x85163))
% 92.29/92.10 [8578]~P24(x85781,x85784,x85785,f232(f904(x85781,a893)))+~P1(f317(f317(f319(x85784),f317(x85785,x85782)),f317(f300(x85781,x85784,x85785),x85783)))+P1(f317(f317(f319(x85781),x85782),x85783))
% 92.29/92.10 [8654]P1(f317(x86541,x86542))+~P1(f317(x86541,f327(x86541,x86543,x86544,x86545)))+~P1(f317(f317(f319(x86545),x86542),x86544))
% 92.29/92.10 [8655]P1(f317(x86551,x86552))+~P1(f317(x86551,f327(x86551,x86553,x86554,x86555)))+~P1(f317(f317(f319(x86555),x86552),x86553))
% 92.29/92.10 [8954]~P24(x89542,x89543,x89541,x89544)+E(f317(x89541,f317(f71(x89542,x89543,x89544,x89541),x89545)),x89545)+~P1(f317(f317(f319(x89543),x89545),f317(f300(x89542,x89543,x89541),x89544)))
% 92.29/92.10 [9057]E(x90571,f103(x90572))+E(f317(f317(f141(x90572),x90573),f653(x90574,x90573,x90575,x90571,x90572)),x90571)+~E(f317(f317(f124(x90572),x90571),x90575),f317(f317(f141(x90572),x90573),x90574))
% 92.29/92.10 [9058]E(x90581,f103(x90582))+E(f317(f317(f141(x90582),x90583),f659(x90584,x90581,x90585,x90583,x90582)),x90581)+~E(f317(f317(f124(x90582),x90581),x90584),f317(f317(f141(x90582),x90583),x90585))
% 92.29/92.10 [9076]E(f317(f317(f141(x90762),x90763),f653(x90764,x90763,x90761,x90765,x90762)),x90765)+~E(f317(f317(f124(x90762),x90765),x90761),f317(f317(f141(x90762),x90763),x90764))+E(x90761,f317(f317(f141(x90762),x90763),x90764))
% 92.29/92.10 [9077]E(f317(f317(f141(x90771),x90772),f659(x90774,x90775,x90773,x90772,x90771)),x90775)+~E(f317(f317(f124(x90771),x90775),x90774),f317(f317(f141(x90771),x90772),x90773))+E(f317(f317(f141(x90771),x90772),x90773),x90774)
% 92.29/92.10 [9154]~E(f317(f300(x91543,x91542,x91544),f232(f904(x91543,a893))),f232(f904(x91542,a893)))+~E(f317(f300(x91541,x91543,x91545),f232(f904(x91541,a893))),f232(f904(x91543,a893)))+E(f317(f300(x91541,x91542,f317(f67(x91543,x91542,x91541,x91544),x91545)),f232(f904(x91541,a893))),f232(f904(x91542,a893)))
% 92.29/92.10 [9531]E(x95311,f103(x95312))+~E(f317(f317(f124(x95312),x95311),x95313),f317(f317(f141(x95312),x95315),x95314))+E(f317(f317(f124(x95312),f659(x95313,x95311,x95314,x95315,x95312)),x95313),x95314)
% 92.29/92.10 [9532]E(x95321,f103(x95322))+~E(f317(f317(f124(x95322),x95321),x95325),f317(f317(f141(x95322),x95324),x95323))+E(f317(f317(f124(x95322),f653(x95323,x95324,x95325,x95321,x95322)),x95325),x95323)
% 92.29/92.10 [9539]E(f317(f317(f124(x95392),f653(x95394,x95393,x95391,x95395,x95392)),x95391),x95394)+~E(f317(f317(f124(x95392),x95395),x95391),f317(f317(f141(x95392),x95393),x95394))+E(x95391,f317(f317(f141(x95392),x95393),x95394))
% 92.29/92.10 [9540]~E(f317(f317(f124(x95401),x95405),x95404),f317(f317(f141(x95401),x95402),x95403))+E(f317(f317(f124(x95401),f659(x95404,x95405,x95403,x95402,x95401)),x95404),x95403)+E(f317(f317(f141(x95401),x95402),x95403),x95404)
% 92.29/92.10 [9541]E(f317(f317(f124(x95411),x95415),f661(x95413,x95412,x95414,x95415,x95411)),x95412)+E(f317(f317(f124(x95411),x95412),f660(x95413,x95412,x95414,x95415,x95411)),x95415)+~E(f317(f317(f124(x95411),x95415),x95414),f317(f317(f124(x95411),x95412),x95413))
% 92.29/92.10 [9578]~P107(x95781)+P13(x95781,f317(f317(f144(x95782,x95781),x95783),f139(x95782,x95781,x95783,x95784,x95785)))+~P13(x95781,f317(f317(f144(x95782,x95781),x95783),x95785))
% 92.29/92.10 [9597]~P58(x95975,x95971,x95974,x95973)+P1(f317(f317(x95971,x95972),f483(x95973,x95974,x95971,x95975,x95972)))+~P1(f317(f317(f319(x95975),x95972),x95974))
% 92.29/92.10 [9598]~P58(x95985,x95981,x95984,x95983)+P1(f317(f317(x95981,x95982),f777(x95983,x95984,x95981,x95985,x95982)))+~P1(f317(f317(f319(x95985),x95982),x95984))
% 92.29/92.10 [9703]~P1(f317(f317(f319(f903(x97031,x97031)),f317(f317(f242(x97031,x97031),x97035),x97033)),f297(x97031,x97034)))+P1(f317(f317(f319(f903(x97031,x97031)),f317(f317(f242(x97031,x97031),x97032),x97033)),f317(f317(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034))))+~P1(f317(f317(f319(f903(x97031,x97031)),f317(f317(f242(x97031,x97031),x97032),x97035)),f317(f317(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034))))
% 92.29/92.10 [9704]~P1(f317(f317(f319(f903(x97041,x97041)),f317(f317(f242(x97041,x97041),x97042),x97045)),f297(x97041,x97044)))+P1(f317(f317(f319(f903(x97041,x97041)),f317(f317(f242(x97041,x97041),x97042),x97043)),f317(f317(f279(x97041,x97041,x97041),x97044),f297(x97041,x97044))))+~P1(f317(f317(f319(f903(x97041,x97041)),f317(f317(f242(x97041,x97041),x97045),x97043)),f317(f317(f279(x97041,x97041,x97041),x97044),f297(x97041,x97044))))
% 92.29/92.10 [9706]P1(f317(f317(f319(f903(f898(x97061),f898(x97061))),f317(f317(f242(f898(x97061),f898(x97061)),x97062),x97063)),f148(x97061,f297(x97061,x97064))))+~P1(f317(f317(f319(f903(f898(x97061),f898(x97061))),f317(f317(f242(f898(x97061),f898(x97061)),x97062),x97065)),f148(x97061,f297(x97061,x97064))))+~P1(f317(f317(f319(f903(f898(x97061),f898(x97061))),f317(f317(f242(f898(x97061),f898(x97061)),x97065),x97063)),f148(x97061,f297(x97061,x97064))))
% 92.29/92.10 [9710]E(f317(f317(f124(x97101),x97102),f660(x97103,x97102,x97104,x97105,x97101)),x97105)+E(f317(f317(f124(x97101),f661(x97103,x97102,x97104,x97105,x97101)),x97103),x97104)+~E(f317(f317(f124(x97101),x97102),x97103),f317(f317(f124(x97101),x97105),x97104))
% 92.29/92.10 [9711]E(f317(f317(f124(x97111),x97112),f661(x97113,x97114,x97115,x97112,x97111)),x97114)+E(f317(f317(f124(x97111),f660(x97113,x97114,x97115,x97112,x97111)),x97115),x97113)+~E(f317(f317(f124(x97111),x97112),x97115),f317(f317(f124(x97111),x97114),x97113))
% 92.29/92.10 [9765]P1(f317(f317(f319(f903(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97653)),f317(f317(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))+~P1(f317(f317(f319(f903(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97655)),f317(f317(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))+~P1(f317(f317(f319(f903(x97651,x97651)),f317(f317(f242(x97651,x97651),x97655),x97653)),f317(f317(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))
% 92.29/92.10 [9792]P33(x97921,x97922,x97923,x97924,x97925)+~E(f317(f179(f898(x97921)),x97924),f317(f179(f898(x97922)),x97925))+~P1(f317(f317(f247(x97921,x97922,a893),x97923),f677(x97925,x97924,x97923,x97922,x97921)))
% 92.29/92.10 [9793]P33(x97931,x97932,x97933,x97934,x97935)+~E(f317(f179(f898(x97931)),x97934),f317(f179(f898(x97932)),x97935))+~P1(f317(f317(f247(x97931,x97932,a893),x97933),f678(x97933,x97935,x97934,x97932,x97931)))
% 92.29/92.10 [9798]E(f317(f317(f124(x97981),f660(x97982,x97983,x97984,x97985,x97981)),x97984),x97982)+~E(f317(f317(f124(x97981),x97983),x97982),f317(f317(f124(x97981),x97985),x97984))+E(f317(f317(f124(x97981),f661(x97982,x97983,x97984,x97985,x97981)),x97982),x97984)
% 92.29/92.10 [9813]~P107(x98132)+E(f317(f317(f138(x98131,x98132,x98133),x98134),x98135),f317(f317(f141(x98131),x98134),x98135))+P1(f317(f317(f319(x98131),f722(x98134,x98133,x98135,x98131,x98132)),f317(f162(x98131),x98135)))
% 92.29/92.10 [9817]~P58(x98171,x98174,x98173,x98172)+~P1(f317(f317(f319(x98171),x98175),x98173))+P1(f317(f317(f319(x98171),f483(x98172,x98173,x98174,x98171,x98175)),x98172))
% 92.29/92.10 [9818]~P58(x98181,x98184,x98183,x98182)+~P1(f317(f317(f319(x98181),x98185),x98183))+P1(f317(f317(f319(x98181),f777(x98182,x98183,x98184,x98181,x98185)),x98182))
% 92.29/92.10 [9932]~P1(f317(f317(f319(f903(f904(x99321,a893),f904(x99321,a893))),f317(f317(f242(f904(x99321,a893),f904(x99321,a893)),x99324),x99323)),f309(x99321,x99322)))+~P1(f317(f317(f319(x99321),x99325),x99324))+P1(f317(f317(f319(x99321),f574(x99322,x99323,x99324,x99321,x99325)),x99323))
% 92.29/92.10 [9942]~P107(x99422)+E(f317(f317(f138(x99421,x99422,x99423),x99424),x99425),f317(f317(f141(x99421),x99424),x99425))+~P1(f317(f317(f224(x99422),f317(x99423,x99424)),f317(x99423,f722(x99424,x99423,x99425,x99421,x99422))))
% 92.29/92.10 [9991]~P24(x99913,x99914,x99915,f232(f904(x99913,a893)))+P1(f317(x99911,x99912))+~P1(f317(x99911,f317(f85(x99913,x99914,f232(f904(x99913,a893)),x99915),f791(x99912,x99911,x99915,x99914,x99913))))
% 92.29/92.10 [10136]P33(x101361,x101362,x101363,x101364,x101365)+~E(f317(f179(f898(x101361)),x101364),f317(f179(f898(x101362)),x101365))+~P1(f317(f317(x101363,f317(f317(f154(x101361),x101364),f679(x101365,x101364,x101363,x101362,x101361))),f317(f317(f154(x101362),x101365),f679(x101365,x101364,x101363,x101362,x101361))))
% 92.29/92.10 [10137]P33(x101371,x101372,x101373,x101374,x101375)+~E(f317(f179(f898(x101371)),x101374),f317(f179(f898(x101372)),x101375))+~P1(f317(f317(x101373,f317(f317(f154(x101371),x101374),f714(x101373,x101375,x101372,x101374,x101371))),f317(f317(f154(x101372),x101375),f714(x101373,x101375,x101372,x101374,x101371))))
% 92.29/92.10 [6675]~P17(x66752,x66755,x66751)+~P1(f317(f29(x66752),x66754))+E(f317(x66751,f317(f317(f299(x66752),x66753),x66754)),f317(f317(f59(x66752,x66752,x66755),x66753),x66754))
% 92.29/92.10 [6676]~E(x66763,x66764)+~E(x66762,x66765)+E(f317(f317(f299(x66761),x66762),f317(f317(f299(x66761),x66763),f178(f904(x66761,a893)))),f317(f317(f299(x66761),x66764),f317(f317(f299(x66761),x66765),f178(f904(x66761,a893)))))
% 92.29/92.10 [6687]P1(f317(x66872,x66875))+E(f167(x66871,x66872,f317(f317(f124(x66871),x66873),x66874)),f167(x66871,x66872,x66873))+~P1(f317(f317(f319(x66871),x66875),f317(f162(x66871),x66873)))
% 92.29/92.10 [6723]E(f317(x67231,x67232),f178(f904(x67233,a893)))+~E(f317(f317(f35(x67234,f904(x67233,a893)),x67235),x67231),f178(f904(x67233,a893)))+~P1(f317(f317(f319(x67234),x67232),x67235))
% 92.29/92.10 [6724]E(f317(x67241,x67242),f232(f904(x67243,a893)))+~E(f317(f317(f36(x67244,f904(x67243,a893)),x67245),x67241),f232(f904(x67243,a893)))+~P1(f317(f317(f319(x67244),x67242),x67245))
% 92.29/92.10 [6725]E(f317(x67251,x67252),f178(f904(x67253,a893)))+~E(f317(f317(f35(x67254,f904(x67253,a893)),x67255),x67251),f178(f904(x67253,a893)))+~P1(f317(f317(f319(x67254),x67252),x67255))
% 92.29/92.10 [6726]E(f317(x67261,x67262),f232(f904(x67263,a893)))+~E(f317(f317(f36(x67264,f904(x67263,a893)),x67265),x67261),f232(f904(x67263,a893)))+~P1(f317(f317(f319(x67264),x67262),x67265))
% 92.29/92.10 [6926]~E(x69264,f317(f317(f124(x69261),x69265),f317(f317(f141(x69261),x69262),x69263)))+P1(f317(f317(f319(x69261),x69262),f317(f162(x69261),x69263)))+P1(f317(f317(f319(x69261),x69262),f317(f162(x69261),x69264)))
% 92.29/92.10 [6927]~E(x69274,f317(f317(f124(x69271),x69273),f317(f317(f141(x69271),x69272),x69275)))+P1(f317(f317(f319(x69271),x69272),f317(f162(x69271),x69273)))+P1(f317(f317(f319(x69271),x69272),f317(f162(x69271),x69274)))
% 92.29/92.10 [7242]~E(x72422,x72424)+~P146(x72421)+E(f317(f317(f74(x72421),f317(f317(f75(x72421),x72422),x72423)),f317(f317(f75(x72421),x72424),x72425)),f317(f317(f74(x72421),f317(f317(f75(x72421),x72422),x72425)),f317(f317(f75(x72421),x72424),x72423)))
% 92.29/92.10 [7243]~E(x72432,x72434)+~P146(x72431)+E(f317(f317(f74(x72431),f317(f317(f75(x72431),x72432),x72433)),f317(f317(f75(x72431),x72434),x72435)),f317(f317(f74(x72431),f317(f317(f75(x72431),x72432),x72435)),f317(f317(f75(x72431),x72434),x72433)))
% 92.29/92.10 [7305]~P5(x73051)+~P1(f317(f317(f319(x73054),x73053),x73055))+P1(f317(f317(f224(x73051),f317(x73052,x73053)),f317(f317(f35(x73054,x73051),x73055),x73052)))
% 92.29/92.10 [7354]~P109(x73541)+P1(f317(f317(f224(x73541),f317(x73542,x73543)),f317(x73544,x73543)))+~P1(f317(f317(f224(f904(x73545,x73541)),x73542),x73544))
% 92.29/92.10 [7355]~P109(x73551)+P1(f317(f317(f224(x73551),f317(x73552,x73553)),f317(x73554,x73553)))+~P1(f317(f317(f224(f904(x73555,x73551)),x73552),x73554))
% 92.29/92.10 [7356]~P109(x73561)+P1(f317(f317(f224(x73561),f317(x73562,x73563)),f317(x73564,x73563)))+~P1(f317(f317(f224(f904(x73565,x73561)),x73562),x73564))
% 92.29/92.10 [7479]E(x74791,x74792)+E(x74793,x74791)+~E(f317(f317(f299(x74794),x74791),f317(f317(f299(x74794),x74795),f178(f904(x74794,a893)))),f317(f317(f299(x74794),x74792),f317(f317(f299(x74794),x74793),f178(f904(x74794,a893)))))
% 92.29/92.10 [7480]E(x74801,x74802)+E(x74803,x74801)+~E(f317(f317(f299(x74804),x74803),f317(f317(f299(x74804),x74802),f178(f904(x74804,a893)))),f317(f317(f299(x74804),x74805),f317(f317(f299(x74804),x74801),f178(f904(x74804,a893)))))
% 92.29/92.10 [7481]E(x74811,x74812)+E(x74811,x74813)+~E(f317(f317(f299(x74814),x74813),f317(f317(f299(x74814),x74812),f178(f904(x74814,a893)))),f317(f317(f299(x74814),x74815),f317(f317(f299(x74814),x74811),f178(f904(x74814,a893)))))
% 92.29/92.10 [7482]E(x74821,x74822)+E(x74821,x74823)+~E(f317(f317(f299(x74824),x74821),f317(f317(f299(x74824),x74825),f178(f904(x74824,a893)))),f317(f317(f299(x74824),x74822),f317(f317(f299(x74824),x74823),f178(f904(x74824,a893)))))
% 92.29/92.10 [8012]P24(x80121,x80122,x80123,x80124)+~P24(x80121,x80122,x80123,x80125)+~P1(f317(f317(f224(f904(x80121,a893)),x80124),x80125))
% 92.29/92.10 [8042]~E(f317(x80423,x80425),x80424)+~P24(x80421,x80422,x80423,f232(f904(x80421,a893)))+E(f317(f85(x80421,x80422,f232(f904(x80421,a893)),x80423),x80424),x80425)
% 92.29/92.10 [8188]E(x81881,x81882)+~E(f317(f300(x81883,x81884,x81885),x81881),f317(f300(x81883,x81884,x81885),x81882))+~P24(x81883,x81884,x81885,f317(f317(f91(f904(x81883,a893)),x81881),x81882))
% 92.29/92.10 [8265]P1(f317(x82652,x82654))+E(f317(f317(f128(x82651),f317(f179(f898(x82651)),f167(x82651,x82652,x82653))),x82653),f317(f317(f141(x82651),x82654),x82655))+~E(f317(f317(f124(x82651),f167(x82651,x82652,x82653)),f317(f317(f141(x82651),x82654),x82655)),x82653)
% 92.29/92.10 [8293]~P24(x82931,x82932,x82933,x82935)+~P24(x82931,x82932,x82933,x82934)+P24(x82931,x82932,x82933,f317(f317(f92(f904(x82931,a893)),x82934),x82935))
% 92.29/92.10 [8401]~P77(x84011)+E(f317(f317(f74(x84011),f317(x84012,x84013)),f317(f155(x84011),f317(f317(f144(x84014,x84011),x84012),f160(x84014,x84013,x84015)))),f317(f155(x84011),f317(f317(f144(x84014,x84011),x84012),x84015)))+~P1(f317(f317(f319(x84014),x84013),f317(f162(x84014),x84015)))
% 92.29/92.10 [8489]~P107(x84891)+~P13(x84891,f317(f317(f144(x84892,x84891),x84893),x84895))+P13(x84891,f317(f317(f144(x84892,x84891),x84893),f317(f317(f138(x84892,x84891,x84893),x84894),x84895)))
% 92.29/92.10 [8574]~P5(x85741)+P1(f317(f317(f224(x85741),f317(f317(f35(x85742,x85741),x85743),x85744)),f317(f317(f35(x85742,x85741),x85745),x85744)))+~P1(f317(f317(f224(f904(x85742,a893)),x85743),x85745))
% 92.29/92.10 [8575]~P5(x85751)+P1(f317(f317(f224(x85751),f317(f317(f36(x85752,x85751),x85753),x85754)),f317(f317(f36(x85752,x85751),x85755),x85754)))+~P1(f317(f317(f224(f904(x85752,a893)),x85755),x85753))
% 92.29/92.10 [8608]~P107(x86083)+P1(f317(f127(x86081),x86082))+~P1(f317(f127(x86081),f317(f317(f138(x86081,x86083,x86084),x86085),x86082)))
% 92.29/92.10 [8753]~P107(x87531)+~P1(f317(f317(f319(x87532),x87533),f317(f162(x87532),x87534)))+~P1(f317(f127(x87532),f317(f317(f138(x87532,x87531,x87535),x87533),x87534)))
% 92.29/92.10 [8843]~P107(x88431)+P13(x88431,f317(f317(f144(x88432,x88431),x88433),x88434))+~P13(x88431,f317(f317(f144(x88432,x88431),x88433),f317(f317(f138(x88432,x88431,x88433),x88435),x88434)))
% 92.29/92.10 [8889]~P24(x88892,x88891,x88894,x88893)+E(f317(f300(x88891,x88892,f85(x88892,x88891,x88893,x88894)),f317(f300(x88892,x88891,x88894),x88895)),x88895)+~P1(f317(f317(f224(f904(x88892,a893)),x88895),x88893))
% 92.29/92.10 [8942]~P107(x89422)+E(f317(f317(f138(x89421,x89422,x89423),x89424),x89425),f139(x89421,x89422,x89423,x89424,x89425))+P1(f317(f317(f319(x89422),f317(x89423,x89424)),f317(f300(x89421,x89422,x89423),f317(f162(x89421),x89425))))
% 92.29/92.10 [9023]~P107(x90232)+E(f139(x90231,x90232,x90233,x90234,x90235),x90235)+~P1(f317(f317(f319(x90232),f317(x90233,x90234)),f317(f300(x90231,x90232,x90233),f317(f162(x90231),x90235))))
% 92.29/92.10 [9037]~P24(x90372,x90371,x90373,x90375)+P1(f317(f317(f225(f904(x90371,a893)),f317(f300(x90372,x90371,x90373),x90374)),f317(f300(x90372,x90371,x90373),x90375)))+~P1(f317(f317(f225(f904(x90372,a893)),x90374),x90375))
% 92.29/92.10 [9068]~P24(x90682,x90681,x90683,f232(f904(x90682,a893)))+P1(f317(f317(f224(f904(x90681,a893)),f317(f300(x90682,x90681,x90683),x90684)),f317(f300(x90682,x90681,x90683),x90685)))+~P1(f317(f317(f224(f904(x90682,a893)),x90684),x90685))
% 92.29/92.10 [9196]~P24(x91961,x91962,x91963,f232(f904(x91961,a893)))+~P1(f317(f317(f224(f904(x91962,a893)),x91964),f317(f300(x91961,x91962,x91963),x91965)))+P1(f317(f317(f224(f904(x91961,a893)),f317(f301(x91961,x91962,x91963),x91964)),x91965))
% 92.29/92.10 [9219]~E(f317(f300(x92193,x92191,x92194),f232(f904(x92193,a893))),f232(f904(x92191,a893)))+P1(f317(f317(f224(f904(x92191,a893)),x92192),f317(f300(x92193,x92191,x92194),x92195)))+~P1(f317(f317(f224(f904(x92193,a893)),f317(f301(x92193,x92191,x92194),x92192)),x92195))
% 92.29/92.10 [9326]~P24(x93261,x93264,x93265,f232(f904(x93261,a893)))+~P1(f317(f317(f224(f904(x93264,a893)),f317(f300(x93261,x93264,x93265),x93262)),f317(f300(x93261,x93264,x93265),x93263)))+P1(f317(f317(f224(f904(x93261,a893)),x93262),x93263))
% 92.29/92.10 [9453]~P82(x94531)+~E(f317(x94533,f697(x94533,x94534,x94535,x94532,x94531)),f2(x94531))+E(f317(f155(x94531),f317(f317(f144(x94532,x94531),x94533),f317(f126(x94532,x94534),x94535))),f317(f155(x94531),f317(f317(f144(x94532,x94531),x94533),x94535)))
% 92.29/92.10 [9480]~P25(x94801,x94802,x94803,f232(f904(x94801,a893)),f232(f904(x94802,a893)))+~P1(f317(f317(f224(f904(x94802,a893)),x94804),f317(f300(x94801,x94802,x94803),x94805)))+P1(f317(f317(f224(f904(x94801,a893)),f317(f301(x94801,x94802,x94803),x94804)),x94805))
% 92.29/92.10 [9509]~P25(x95093,x95091,x95094,f232(f904(x95093,a893)),f232(f904(x95091,a893)))+P1(f317(f317(f224(f904(x95091,a893)),x95092),f317(f300(x95093,x95091,x95094),x95095)))+~P1(f317(f317(f224(f904(x95093,a893)),f317(f301(x95093,x95091,x95094),x95092)),x95095))
% 92.29/92.10 [9644]~P16(x96441,x96442,x96443)+~P1(f317(f29(x96441),x96445))+P1(f317(f61(x96441,x96442,x96443,x96444,x96445),f317(f317(f59(x96441,x96442,x96443),x96444),x96445)))
% 92.29/92.10 [9723]~P25(x97232,x97231,x97234,f232(f904(x97232,a893)),f232(f904(x97231,a893)))+~P25(x97231,x97233,x97235,f232(f904(x97231,a893)),f232(f904(x97233,a893)))+E(f317(f67(x97231,x97232,x97233,f85(x97232,x97231,f232(f904(x97232,a893)),x97234)),f85(x97231,x97233,f232(f904(x97231,a893)),x97235)),f85(x97232,x97233,f232(f904(x97232,a893)),f317(f67(x97231,x97233,x97232,x97235),x97234)))
% 92.29/92.10 [9724]P1(f317(x97241,f616(x97242,x97241,x97243,x97244,x97245)))+~P1(f317(f317(f224(f904(x97245,a893)),x97244),x97243))+P1(f317(f317(f224(f904(x97245,a893)),f317(f317(f92(f904(x97245,a893)),x97244),f317(f252(x97245),x97241))),f317(f317(f92(f904(x97245,a893)),x97243),f317(f252(x97245),x97242))))
% 92.29/92.10 [9738]~P82(x97381)+~P1(f317(x97384,f697(x97383,x97384,x97385,x97382,x97381)))+E(f317(f155(x97381),f317(f317(f144(x97382,x97381),x97383),f317(f126(x97382,x97384),x97385))),f317(f155(x97381),f317(f317(f144(x97382,x97381),x97383),x97385)))
% 92.29/92.10 [9815]~P5(x98155)+P1(f317(f317(f319(x98151),f468(x98152,x98153,x98151,x98154,x98155)),x98153))+P1(f317(f317(f224(x98155),x98154),f317(f317(f36(x98151,x98155),x98153),x98152)))
% 92.29/92.10 [9819]~P82(x98191)+E(f317(f155(x98191),f317(f317(f144(x98192,x98191),x98193),f317(f126(x98192,x98194),x98195))),f317(f155(x98191),f317(f317(f144(x98192,x98191),x98193),x98195)))+P1(f317(f317(f319(x98192),f697(x98193,x98194,x98195,x98192,x98191)),f317(f162(x98192),x98195)))
% 92.29/92.10 [9829]~P1(f317(x98295,f616(x98295,x98293,x98294,x98292,x98291)))+~P1(f317(f317(f224(f904(x98291,a893)),x98292),x98294))+P1(f317(f317(f224(f904(x98291,a893)),f317(f317(f92(f904(x98291,a893)),x98292),f317(f252(x98291),x98293))),f317(f317(f92(f904(x98291,a893)),x98294),f317(f252(x98291),x98295))))
% 92.29/92.10 [9845]~P24(x98455,x98453,x98454,f232(f904(x98455,a893)))+P1(f317(x98451,x98452))+P1(f317(f317(f319(x98453),f791(x98452,x98451,x98454,x98453,x98455)),f317(f300(x98455,x98453,x98454),f232(f904(x98455,a893)))))
% 92.29/92.10 [9868]P33(x98681,x98682,x98683,x98684,x98685)+~E(f317(f179(f898(x98682)),x98685),f317(f179(f898(x98681)),x98684))+P1(f317(f317(f225(a897),f679(x98685,x98684,x98683,x98682,x98681)),f317(f179(f898(x98681)),x98684)))
% 92.29/92.10 [9869]P33(x98691,x98692,x98693,x98694,x98695)+~E(f317(f179(f898(x98692)),x98695),f317(f179(f898(x98691)),x98694))+P1(f317(f317(f225(a897),f714(x98693,x98695,x98692,x98694,x98691)),f317(f179(f898(x98691)),x98694)))
% 92.29/92.10 [9900]P1(f317(f317(f319(x99001),f616(x99002,x99003,x99004,x99005,x99001)),x99005))+~P1(f317(f317(f224(f904(x99001,a893)),x99005),x99004))+P1(f317(f317(f224(f904(x99001,a893)),f317(f317(f92(f904(x99001,a893)),x99005),f317(f252(x99001),x99003))),f317(f317(f92(f904(x99001,a893)),x99004),f317(f252(x99001),x99002))))
% 92.29/92.10 [9943]~P5(x99431)+~P1(f317(f317(f224(x99431),x99432),f317(x99435,f468(x99435,x99434,x99433,x99432,x99431))))+P1(f317(f317(f224(x99431),x99432),f317(f317(f36(x99433,x99431),x99434),x99435)))
% 92.29/92.10 [9980]~P76(x99801)+~P1(f317(f29(x99802),x99805))+E(f317(f317(f317(f60(x99801,x99802,f75(x99801)),f317(f317(f18(x99802,x99801,x99801),f317(f317(f8(x99801,f904(x99801,x99801),x99802),f75(x99801)),x99803)),x99804)),f72(x99801)),x99805),f317(f317(f75(x99801),f317(f317(f317(f60(x99801,x99802,f75(x99801)),x99803),f72(x99801)),x99805)),f317(f317(f317(f60(x99801,x99802,f75(x99801)),x99804),f72(x99801)),x99805)))
% 92.29/92.10 [10035]~P1(f317(f317(f319(f903(f904(x100351,a893),f904(x100351,a893))),f317(f317(f242(f904(x100351,a893),f904(x100351,a893)),x100355),x100354)),f309(x100351,x100353)))+~P1(f317(f317(f319(x100351),x100352),x100355))+P1(f317(f317(f319(f903(x100351,x100351)),f317(f317(f242(x100351,x100351),x100352),f574(x100353,x100354,x100355,x100351,x100352))),x100353))
% 92.29/92.10 [10174]~P1(f317(f317(f319(f903(f898(x101741),f898(x101741))),f317(f317(f242(f898(x101741),f898(x101741)),f317(f317(f124(x101741),x101745),x101742)),f317(f317(f124(x101741),x101745),x101743))),f137(x101741,x101744)))+P1(f317(f317(f319(f903(f898(x101741),f898(x101741))),f317(f317(f242(f898(x101741),f898(x101741)),x101742),x101743)),f137(x101741,x101744)))+P1(f317(f317(f319(f903(x101741,x101741)),f317(f317(f242(x101741,x101741),f666(x101744,x101743,x101742,x101745,x101741)),f666(x101744,x101743,x101742,x101745,x101741))),x101744))
% 92.29/92.10 [7359]~E(x73593,x73595)+E(f317(f317(f154(x73591),f317(f317(f149(x73591,x73592),x73593),x73594)),x73595),x73594)+~P1(f317(f317(f225(a897),x73593),f317(f179(f898(x73591)),x73592)))
% 92.29/92.10 [7475]~E(f317(f317(f124(x74751),x74752),x74754),f317(f317(f124(x74751),x74753),x74755))+E(f317(f317(f165(x74751),f317(f179(f898(x74751)),x74752)),x74753),x74752)+P1(f317(f317(f224(a897),f317(f179(f898(x74751)),x74753)),f317(f179(f898(x74751)),x74752)))
% 92.29/92.10 [7476]E(x74761,x74762)+E(f317(f317(f154(x74763),f317(f317(f149(x74763,x74764),x74761),x74765)),x74762),f317(f317(f154(x74763),x74764),x74762))+~P1(f317(f317(f225(a897),x74761),f317(f179(f898(x74763)),x74764)))
% 92.29/92.10 [7973]~E(f317(f317(f124(x79731),x79732),x79734),f317(f317(f124(x79731),x79733),x79735))+E(f317(f317(f165(x79731),f317(f179(f898(x79731)),x79732)),x79733),x79732)+~P1(f317(f317(f224(a897),f317(f179(f898(x79731)),x79732)),f317(f179(f898(x79731)),x79733)))
% 92.29/92.10 [7997]~P1(f317(f29(x79971),f317(x79974,x79975)))+~P1(f317(f317(f319(x79972),x79975),x79973))+P1(f317(f29(x79971),f317(f317(f36(x79972,f904(x79971,a893)),x79973),x79974)))
% 92.29/92.10 [8172]~P52(x81721,x81723,x81725)+~P52(x81721,x81722,x81724)+P52(x81721,f317(f317(f91(f904(x81721,a893)),x81722),x81723),f317(f317(f91(f904(f903(x81721,x81721),a893)),x81724),x81725))
% 92.29/92.10 [8173]~P52(x81731,x81733,x81735)+~P52(x81731,x81732,x81734)+P52(x81731,f317(f317(f92(f904(x81731,a893)),x81732),x81733),f317(f317(f92(f904(f903(x81731,x81731),a893)),x81734),x81735))
% 92.29/92.10 [8529]E(f317(f317(f242(x85291,x85292),f317(f317(f154(x85291),x85293),x85294)),f317(f317(f154(x85292),x85295),x85294)),f317(f317(f154(f903(x85291,x85292)),f317(f317(f171(x85291,x85292),x85293),x85295)),x85294))+~P1(f317(f317(f225(a897),x85294),f317(f179(f898(x85291)),x85293)))+~P1(f317(f317(f225(a897),x85294),f317(f179(f898(x85292)),x85295)))
% 92.29/92.10 [8682]~P52(x86821,x86823,x86824)+P1(f317(f317(f319(x86821),x86822),x86823))+~P1(f317(f317(f319(f903(x86821,x86821)),f317(f317(f242(x86821,x86821),x86825),x86822)),x86824))
% 92.29/92.10 [8683]~P52(x86831,x86833,x86834)+P1(f317(f317(f319(x86831),x86832),x86833))+~P1(f317(f317(f319(f903(x86831,x86831)),f317(f317(f242(x86831,x86831),x86832),x86835)),x86834))
% 92.29/92.10 [8684]~P8(x86841,x86843,x86844)+P1(f317(f317(f319(x86841),x86842),x86843))+~P1(f317(f317(f319(f903(x86841,x86841)),f317(f317(f242(x86841,x86841),x86845),x86842)),x86844))
% 92.29/92.10 [8685]~P8(x86851,x86853,x86854)+P1(f317(f317(f319(x86851),x86852),x86853))+~P1(f317(f317(f319(f903(x86851,x86851)),f317(f317(f242(x86851,x86851),x86852),x86855)),x86854))
% 92.29/92.10 [8965]~P8(x89651,x89655,x89652)+E(f317(f275(x89651,x89651,x89652),f317(f317(f299(x89651),x89653),f178(f904(x89651,a893)))),f317(f275(x89651,x89651,x89652),f317(f317(f299(x89651),x89654),f178(f904(x89651,a893)))))+~P1(f317(f317(f319(f903(x89651,x89651)),f317(f317(f242(x89651,x89651),x89653),x89654)),x89652))
% 92.29/92.10 [8966]~P8(x89661,x89665,x89662)+E(f317(f275(x89661,x89661,x89662),f317(f317(f299(x89661),x89663),f178(f904(x89661,a893)))),f317(f275(x89661,x89661,x89662),f317(f317(f299(x89661),x89664),f178(f904(x89661,a893)))))+~P1(f317(f317(f319(f903(x89661,x89661)),f317(f317(f242(x89661,x89661),x89663),x89664)),x89662))
% 92.29/92.10 [9151]P1(f317(x91511,x91512))+~P1(f317(f317(f319(x91513),x91512),x91515))+P1(f317(f317(f319(x91513),f327(x91511,x91514,x91515,x91513)),f317(f317(f91(f904(x91513,a893)),x91515),x91514)))
% 92.29/92.10 [9152]P1(f317(x91521,x91522))+~P1(f317(f317(f319(x91523),x91522),x91524))+P1(f317(f317(f319(x91523),f327(x91521,x91524,x91525,x91523)),f317(f317(f91(f904(x91523,a893)),x91525),x91524)))
% 92.29/92.10 [9160]~P1(f317(x91602,x91605))+~P1(f317(f317(f319(x91601),x91605),x91604))+P1(f317(f317(f319(x91601),f326(x91602,x91603,x91604,x91601)),f317(f317(f91(f904(x91601,a893)),x91604),x91603)))
% 92.29/92.10 [9161]~P1(f317(x91612,x91615))+~P1(f317(f317(f319(x91611),x91615),x91613))+P1(f317(f317(f319(x91611),f326(x91612,x91613,x91614,x91611)),f317(f317(f91(f904(x91611,a893)),x91614),x91613)))
% 92.29/92.10 [9177]~P1(f317(f317(f224(f904(x91771,a893)),x91775),x91773))+~P1(f317(f317(f224(f904(x91771,a893)),x91772),x91774))+P1(f317(f317(f224(f904(x91771,a893)),f317(f317(f23(f904(x91771,a893)),x91772),x91773)),f317(f317(f23(f904(x91771,a893)),x91774),x91775)))
% 92.29/92.10 [9178]~P1(f317(f317(f224(f904(x91781,a893)),x91783),x91785))+~P1(f317(f317(f224(f904(x91781,a893)),x91782),x91784))+P1(f317(f317(f224(f904(x91781,a893)),f317(f317(f91(f904(x91781,a893)),x91782),x91783)),f317(f317(f91(f904(x91781,a893)),x91784),x91785)))
% 92.29/92.10 [9179]~P1(f317(f317(f224(f904(x91791,a893)),x91793),x91795))+~P1(f317(f317(f224(f904(x91791,a893)),x91792),x91794))+P1(f317(f317(f224(f904(x91791,a893)),f317(f317(f92(f904(x91791,a893)),x91792),x91793)),f317(f317(f92(f904(x91791,a893)),x91794),x91795)))
% 92.29/92.10 [9273]P1(f317(f317(f319(f903(x92731,x92731)),f317(f317(f242(x92731,x92731),x92732),x92733)),f311(x92731,x92734,x92735)))+~P1(f317(f317(f224(a897),f317(x92734,x92732)),f317(x92734,x92733)))+~P1(f317(f317(f319(f903(x92731,x92731)),f317(f317(f242(x92731,x92731),x92732),x92733)),x92735))
% 92.29/92.10 [9463]P1(f317(f317(f319(f903(x94631,x94631)),f317(f317(f242(x94631,x94631),x94632),x94633)),f297(x94631,x94634)))+~P1(f317(f317(f319(f903(x94631,x94631)),f317(f317(f242(x94631,x94631),x94632),x94635)),f297(x94631,x94634)))+~P1(f317(f317(f319(f903(x94631,x94631)),f317(f317(f242(x94631,x94631),x94635),x94633)),x94634))
% 92.29/92.10 [9464]P1(f317(f317(f319(f903(x94641,x94641)),f317(f317(f242(x94641,x94641),x94642),x94643)),f297(x94641,x94644)))+~P1(f317(f317(f319(f903(x94641,x94641)),f317(f317(f242(x94641,x94641),x94645),x94643)),f297(x94641,x94644)))+~P1(f317(f317(f319(f903(x94641,x94641)),f317(f317(f242(x94641,x94641),x94642),x94645)),x94644))
% 92.29/92.10 [9565]E(x95651,x95652)+E(f317(a102,f593(x95653,x95654,x95651,x95652,x95655)),x95654)+~P1(f317(f317(f319(f903(x95655,x95655)),f317(f317(f242(x95655,x95655),x95652),x95651)),f317(f317(f173(f903(x95655,x95655),a893),x95654),x95653)))
% 92.29/92.10 [9566]E(x95661,x95662)+E(f317(a102,f595(x95663,x95664,x95661,x95662,x95665)),x95664)+~P1(f317(f317(f319(f903(x95665,x95665)),f317(f317(f242(x95665,x95665),x95662),x95661)),f317(f317(f173(f903(x95665,x95665),a893),x95664),x95663)))
% 92.29/92.10 [9567]E(x95671,f2(a897))+E(f317(a102,f593(x95672,x95671,x95673,x95674,x95675)),x95671)+~P1(f317(f317(f319(f903(x95675,x95675)),f317(f317(f242(x95675,x95675),x95674),x95673)),f317(f317(f173(f903(x95675,x95675),a893),x95671),x95672)))
% 92.29/92.10 [9568]E(x95681,f2(a897))+E(f317(a102,f595(x95682,x95681,x95683,x95684,x95685)),x95681)+~P1(f317(f317(f319(f903(x95685,x95685)),f317(f317(f242(x95685,x95685),x95684),x95683)),f317(f317(f173(f903(x95685,x95685),a893),x95681),x95682)))
% 92.29/92.10 [9593]P1(f317(f317(f319(f903(x95931,x95931)),f317(f317(f242(x95931,x95931),x95932),x95933)),f317(f317(f279(x95931,x95931,x95931),x95934),f297(x95931,x95934))))+~P1(f317(f317(f319(f903(x95931,x95931)),f317(f317(f242(x95931,x95931),x95932),x95935)),x95934))+~P1(f317(f317(f319(f903(x95931,x95931)),f317(f317(f242(x95931,x95931),x95935),x95933)),x95934))
% 92.29/92.10 [9603]~P1(f317(f317(f319(f903(x96031,x96031)),f317(f317(f242(x96031,x96031),x96032),x96035)),f297(x96031,x96034)))+P1(f317(f317(f319(f903(x96031,x96031)),f317(f317(f242(x96031,x96031),x96032),x96033)),f317(f317(f279(x96031,x96031,x96031),x96034),f297(x96031,x96034))))+~P1(f317(f317(f319(f903(x96031,x96031)),f317(f317(f242(x96031,x96031),x96035),x96033)),x96034))
% 92.29/92.10 [9604]~P1(f317(f317(f319(f903(x96041,x96041)),f317(f317(f242(x96041,x96041),x96045),x96043)),f297(x96041,x96044)))+P1(f317(f317(f319(f903(x96041,x96041)),f317(f317(f242(x96041,x96041),x96042),x96043)),f317(f317(f279(x96041,x96041,x96041),x96044),f297(x96041,x96044))))+~P1(f317(f317(f319(f903(x96041,x96041)),f317(f317(f242(x96041,x96041),x96042),x96045)),x96044))
% 92.29/92.10 [9638]~P8(x96381,x96385,x96382)+~P1(f317(f317(f319(f903(x96381,x96381)),f317(f317(f242(x96381,x96381),x96383),x96384)),x96382))+P1(f317(f317(f224(f904(x96381,a893)),f317(f275(x96381,x96381,x96382),f317(f317(f299(x96381),x96383),f178(f904(x96381,a893))))),f317(f275(x96381,x96381,x96382),f317(f317(f299(x96381),x96384),f178(f904(x96381,a893))))))
% 92.29/92.10 [9696]P1(f317(f317(f319(f903(x96961,x96961)),f317(f317(f242(x96961,x96961),x96962),x96963)),f317(f317(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f317(f317(f319(f903(x96961,x96961)),f317(f317(f242(x96961,x96961),x96962),x96965)),f317(f317(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f317(f317(f319(f903(x96961,x96961)),f317(f317(f242(x96961,x96961),x96965),x96963)),x96964))
% 92.29/92.10 [9697]P1(f317(f317(f319(f903(x96971,x96971)),f317(f317(f242(x96971,x96971),x96972),x96973)),f317(f317(f279(x96971,x96971,x96971),x96974),f297(x96971,x96974))))+~P1(f317(f317(f319(f903(x96971,x96971)),f317(f317(f242(x96971,x96971),x96975),x96973)),f317(f317(f279(x96971,x96971,x96971),x96974),f297(x96971,x96974))))+~P1(f317(f317(f319(f903(x96971,x96971)),f317(f317(f242(x96971,x96971),x96972),x96975)),x96974))
% 92.29/92.10 [9747]~P1(f317(f61(x97471,x97471,x97474,x97472,x97473),x97475))+P1(f317(f317(f319(x97471),x97472),x97473))+P1(f317(f57(x97471,x97474,f317(f317(f299(x97471),x97472),x97473)),x97475))
% 92.29/92.10 [9785]~E(f317(f300(x97853,x97852,x97855),x97854),x97851)+E(x97851,f178(f904(x97852,a893)))+P1(f317(f317(f224(f904(x97853,a893)),f317(f300(x97852,x97853,f552(x97854,x97853,x97852,x97851)),x97851)),x97854))
% 92.29/92.10 [9832]~P5(x98325)+P1(f317(f317(f319(x98321),f366(x98322,x98323,x98324,x98321,x98325)),x98324))+P1(f317(f317(f224(x98325),f317(f317(f35(x98321,x98325),x98324),x98323)),x98322))
% 92.29/92.10 [9887]P33(x98871,x98872,x98873,x98874,x98875)+~E(f317(f179(f898(x98871)),x98874),f317(f179(f898(x98872)),x98875))+P1(f317(f317(f319(f903(x98871,x98872)),f677(x98875,x98874,x98873,x98872,x98871)),f317(f162(f903(x98871,x98872)),f317(f317(f171(x98871,x98872),x98874),x98875))))
% 92.29/92.10 [9888]P33(x98881,x98882,x98883,x98884,x98885)+~E(f317(f179(f898(x98881)),x98884),f317(f179(f898(x98882)),x98885))+P1(f317(f317(f319(f903(x98881,x98882)),f678(x98883,x98885,x98884,x98882,x98881)),f317(f162(f903(x98881,x98882)),f317(f317(f171(x98881,x98882),x98884),x98885))))
% 92.29/92.10 [10014]E(x100141,x100142)+P1(f317(f317(f319(f903(x100143,x100143)),f317(f317(f242(x100143,x100143),x100141),f594(x100144,x100145,x100142,x100141,x100143))),x100144))+~P1(f317(f317(f319(f903(x100143,x100143)),f317(f317(f242(x100143,x100143),x100141),x100142)),f317(f317(f173(f903(x100143,x100143),a893),x100145),x100144)))
% 92.29/92.10 [10015]E(x100151,f2(a897))+P1(f317(f317(f319(f903(x100152,x100152)),f317(f317(f242(x100152,x100152),x100153),f594(x100154,x100151,x100155,x100153,x100152))),x100154))+~P1(f317(f317(f319(f903(x100152,x100152)),f317(f317(f242(x100152,x100152),x100153),x100155)),f317(f317(f173(f903(x100152,x100152),a893),x100151),x100154)))
% 92.29/92.10 [10054]~P5(x100541)+~P1(f317(f317(f224(x100541),f317(x100544,f366(x100545,x100544,x100543,x100542,x100541))),x100545))+P1(f317(f317(f224(x100541),f317(f317(f35(x100542,x100541),x100543),x100544)),x100545))
% 92.29/92.10 [10106]E(x101061,x101062)+P1(f317(f317(f319(f903(x101063,x101063)),f317(f317(f242(x101063,x101063),f596(x101064,x101065,x101061,x101062,x101063)),x101061)),x101064))+~P1(f317(f317(f319(f903(x101063,x101063)),f317(f317(f242(x101063,x101063),x101062),x101061)),f317(f317(f173(f903(x101063,x101063),a893),x101065),x101064)))
% 92.29/92.10 [10107]E(x101071,f2(a897))+P1(f317(f317(f319(f903(x101072,x101072)),f317(f317(f242(x101072,x101072),f596(x101073,x101071,x101074,x101075,x101072)),x101074)),x101073))+~P1(f317(f317(f319(f903(x101072,x101072)),f317(f317(f242(x101072,x101072),x101075),x101074)),f317(f317(f173(f903(x101072,x101072),a893),x101071),x101073)))
% 92.29/92.10 [10111]E(x101111,x101112)+P1(f317(f317(f319(f903(x101113,x101113)),f317(f317(f242(x101113,x101113),x101111),f596(x101114,x101115,x101112,x101111,x101113))),f317(f317(f173(f903(x101113,x101113),a893),f595(x101114,x101115,x101112,x101111,x101113)),x101114)))+~P1(f317(f317(f319(f903(x101113,x101113)),f317(f317(f242(x101113,x101113),x101111),x101112)),f317(f317(f173(f903(x101113,x101113),a893),x101115),x101114)))
% 92.29/92.10 [10112]E(x101121,f2(a897))+P1(f317(f317(f319(f903(x101122,x101122)),f317(f317(f242(x101122,x101122),x101123),f596(x101124,x101121,x101125,x101123,x101122))),f317(f317(f173(f903(x101122,x101122),a893),f595(x101124,x101121,x101125,x101123,x101122)),x101124)))+~P1(f317(f317(f319(f903(x101122,x101122)),f317(f317(f242(x101122,x101122),x101123),x101125)),f317(f317(f173(f903(x101122,x101122),a893),x101121),x101124)))
% 92.29/92.10 [10165]E(x101651,x101652)+P1(f317(f317(f319(f903(x101653,x101653)),f317(f317(f242(x101653,x101653),f594(x101654,x101655,x101651,x101652,x101653)),x101651)),f317(f317(f173(f903(x101653,x101653),a893),f593(x101654,x101655,x101651,x101652,x101653)),x101654)))+~P1(f317(f317(f319(f903(x101653,x101653)),f317(f317(f242(x101653,x101653),x101652),x101651)),f317(f317(f173(f903(x101653,x101653),a893),x101655),x101654)))
% 92.29/92.10 [10166]E(x101661,f2(a897))+P1(f317(f317(f319(f903(x101662,x101662)),f317(f317(f242(x101662,x101662),f594(x101663,x101661,x101664,x101665,x101662)),x101664)),f317(f317(f173(f903(x101662,x101662),a893),f593(x101663,x101661,x101664,x101665,x101662)),x101663)))+~P1(f317(f317(f319(f903(x101662,x101662)),f317(f317(f242(x101662,x101662),x101665),x101664)),f317(f317(f173(f903(x101662,x101662),a893),x101661),x101663)))
% 92.29/92.10 [10199]~P77(x101992)+~P1(f317(f29(x101991),x101995))+E(f317(f317(f6(x101991,x101992),f317(f317(f7(x101991,x101992,x101992),f317(f317(f18(x101991,x101992,f904(x101992,x101992)),f317(f317(f8(a893,f904(x101992,f904(x101992,x101992)),x101991),f86(x101992)),f317(f317(f7(x101991,f904(x101991,a893),a893),f319(x101991)),x101993))),x101994)),f2(x101992))),x101995),f317(f317(f6(x101991,x101992),x101994),f317(f317(f92(f904(x101991,a893)),x101995),x101993)))
% 92.29/92.10 [8750]~P76(x87501)+~P1(f317(f29(x87504),x87505))+E(f317(f317(f75(x87501),f317(x87502,x87503)),f317(f317(f9(x87504,x87501),x87502),f317(f317(f23(f904(x87504,a893)),x87505),f317(f317(f299(x87504),x87503),f178(f904(x87504,a893)))))),f317(f317(f9(x87504,x87501),x87502),f317(f317(f299(x87504),x87503),x87505)))
% 92.29/92.10 [8751]~P77(x87511)+~P1(f317(f29(x87514),x87515))+E(f317(f317(f74(x87511),f317(x87512,x87513)),f317(f317(f6(x87514,x87511),x87512),f317(f317(f23(f904(x87514,a893)),x87515),f317(f317(f299(x87514),x87513),f178(f904(x87514,a893)))))),f317(f317(f6(x87514,x87511),x87512),f317(f317(f299(x87514),x87513),x87515)))
% 92.29/92.10 [9083]~P107(x90832)+~P13(x90832,f317(f158(x90832),f317(f317(f144(x90831,x90832),x90834),x90835)))+E(f317(f126(x90831,f317(f317(f8(x90832,a893,x90831),f317(f225(x90832),x90833)),x90834)),x90835),f167(x90831,f317(f317(f8(x90832,a893,x90831),f317(f225(x90832),x90833)),x90834),x90835))
% 92.29/92.10 [9107]~P77(x91071)+E(f317(f317(f74(x91071),f317(f317(f6(a897,x91071),x91072),f293(a897,x91073,x91074))),f317(f317(f6(a897,x91071),x91072),f293(a897,f317(f317(f74(a897),x91074),f72(a897)),f317(f317(f74(a897),x91074),x91075)))),f317(f317(f6(a897,x91071),x91072),f293(a897,x91073,f317(f317(f74(a897),x91074),x91075))))+~P1(f317(f317(f224(a897),x91073),f317(f317(f74(a897),x91074),f72(a897))))
% 92.29/92.10 [9108]~P1(f317(f317(f319(x91081),x91084),x91085))+~P1(f317(f317(f224(f904(x91081,a893)),f317(f162(x91081),x91082)),x91085))+P1(f317(f317(f224(f904(x91081,a893)),f317(f162(x91081),f317(f317(f149(x91081,x91082),x91083),x91084))),x91085))
% 92.29/92.10 [9335]~P5(x93352)+~P1(f317(f29(x93351),x93355))+E(f317(f317(f59(x93351,x93352,f317(f317(f8(x93352,f904(x93352,x93352),x93351),f91(x93352)),x93353)),x93354),x93355),f317(f317(f91(x93352),x93354),f317(f317(f35(x93351,x93352),x93355),x93353)))
% 92.29/92.10 [9336]~P5(x93362)+~P1(f317(f29(x93361),x93365))+E(f317(f317(f59(x93361,x93362,f317(f317(f8(x93362,f904(x93362,x93362),x93361),f92(x93362)),x93363)),x93364),x93365),f317(f317(f92(x93362),x93364),f317(f317(f36(x93361,x93362),x93365),x93363)))
% 92.29/92.10 [9388]E(f317(x93881,x93882),f317(x93881,x93883))+P1(f317(f317(f225(a897),f317(x93881,x93882)),f317(x93881,x93883)))+~P1(f317(f317(f319(f903(x93884,x93884)),f317(f317(f242(x93884,x93884),x93882),x93883)),f143(x93884,f317(f317(f141(f904(x93884,a897)),x93881),x93885))))
% 92.29/92.10 [9421]~E(f317(x94214,x94212),f317(x94214,x94213))+~P1(f317(f317(f319(f903(x94211,x94211)),f317(f317(f242(x94211,x94211),x94212),x94213)),f143(x94211,x94215)))+P1(f317(f317(f319(f903(x94211,x94211)),f317(f317(f242(x94211,x94211),x94212),x94213)),f143(x94211,f317(f317(f141(f904(x94211,a897)),x94214),x94215))))
% 92.29/92.10 [9441]~P24(x94411,x94412,x94413,x94415)+P24(x94411,x94412,x94413,f317(f317(f299(x94411),x94414),x94415))+P1(f317(f317(f319(x94412),f317(x94413,x94414)),f317(f300(x94411,x94412,x94413),f317(f317(f23(f904(x94411,a893)),x94415),f317(f317(f299(x94411),x94414),f178(f904(x94411,a893)))))))
% 92.29/92.10 [9444]P1(f317(x94442,x94445))+~P1(f317(f317(f319(x94441),x94445),f317(f162(x94441),x94443)))+E(f317(f317(f128(x94441),f317(f179(f898(x94441)),f167(x94441,x94442,f317(f317(f124(x94441),x94443),x94444)))),f317(f317(f124(x94441),x94443),x94444)),f317(f317(f124(x94441),f317(f317(f128(x94441),f317(f179(f898(x94441)),f167(x94441,x94442,x94443))),x94443)),x94444))
% 92.29/92.10 [9449]~P1(f317(f317(f319(f903(x94491,x94491)),f317(f317(f242(x94491,x94491),x94492),x94493)),f143(x94491,x94495)))+~P1(f317(f317(f224(a897),f317(x94494,x94492)),f317(x94494,x94493)))+P1(f317(f317(f319(f903(x94491,x94491)),f317(f317(f242(x94491,x94491),x94492),x94493)),f143(x94491,f317(f317(f141(f904(x94491,a897)),x94494),x94495))))
% 92.29/92.10 [9516]P1(f317(f317(f319(f903(x95164,x95164)),f317(f317(f242(x95164,x95164),x95162),x95163)),f143(x95164,x95165)))+P1(f317(f317(f225(a897),f317(x95161,x95162)),f317(x95161,x95163)))+~P1(f317(f317(f319(f903(x95164,x95164)),f317(f317(f242(x95164,x95164),x95162),x95163)),f143(x95164,f317(f317(f141(f904(x95164,a897)),x95161),x95165))))
% 92.29/92.10 [9668]~P1(f317(f317(f319(f903(f898(x96681),f898(x96681))),f317(f317(f242(f898(x96681),f898(x96681)),x96682),x96684)),f148(x96681,x96685)))+~P1(f317(f317(f225(a897),x96683),f317(f179(f898(x96681)),x96682)))+P1(f317(f317(f319(f903(x96681,x96681)),f317(f317(f242(x96681,x96681),f317(f317(f154(x96681),x96682),x96683)),f317(f317(f154(x96681),x96684),x96683))),x96685))
% 92.29/92.10 [9910]E(x99101,f2(a1))+~P1(f317(f45(x99103,x99101),f317(f317(f242(a1,a1),x99104),x99105)))+P1(f317(f45(f317(f317(f75(a1),x99102),x99103),x99101),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x99102),x99104)),f317(f317(f31(a1),f317(f317(f75(a1),x99102),x99105)),x99101))),f41(a1,f317(f317(f75(a1),x99102),x99105),x99101))))
% 92.29/92.10 [9911]~P1(f317(f317(f225(a897),f2(a897)),x99113))+~P1(f317(f44(x99112,x99113),f317(f317(f242(a897,a897),x99114),x99115)))+P1(f317(f44(f317(f317(f75(a897),x99111),x99112),x99113),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f75(a897),x99111),x99114)),f317(f317(f31(a897),f317(f317(f75(a897),x99111),x99115)),x99113))),f41(a897,f317(f317(f75(a897),x99111),x99115),x99113))))
% 92.29/92.10 [10222]~P77(x102222)+~P1(f317(f29(x102221),x102224))+E(f317(f317(f6(x102221,x102222),x102223),f317(f252(x102221),f317(f317(f18(x102221,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102221),a315),f317(f317(f7(x102221,f904(x102221,a893),a893),f319(x102221)),x102224))),f317(f317(f7(x102221,f904(x102221,a893),a893),f319(x102221)),x102225)))),f317(f317(f6(x102221,x102222),f317(f317(f7(x102221,x102222,x102222),f317(f317(f18(x102221,x102222,f904(x102222,x102222)),f317(f317(f8(a893,f904(x102222,f904(x102222,x102222)),x102221),f86(x102222)),f317(f317(f7(x102221,f904(x102221,a893),a893),f319(x102221)),x102225))),x102223)),f2(x102222))),x102224))
% 92.29/92.10 [8380]~E(f317(f317(f124(x83801),x83802),x83805),f317(f317(f124(x83801),x83803),x83804))+E(f317(f317(f124(x83801),f317(f317(f128(x83801),f317(f179(f898(x83801)),x83802)),x83803)),x83804),x83805)+P1(f317(f317(f224(a897),f317(f179(f898(x83801)),x83803)),f317(f179(f898(x83801)),x83802)))
% 92.29/92.10 [8577]~E(f317(f317(f124(x85772),x85773),x85771),f317(f317(f124(x85772),x85774),x85775))+E(x85771,f317(f317(f124(x85772),f317(f317(f128(x85772),f317(f179(f898(x85772)),x85773)),x85774)),x85775))+~P1(f317(f317(f224(a897),f317(f179(f898(x85772)),x85773)),f317(f179(f898(x85772)),x85774)))
% 92.29/92.10 [8665]~E(f317(f317(f74(a897),f317(f317(f75(a897),x86653),x86654)),x86651),f317(f317(f74(a897),f317(f317(f75(a897),x86652),x86654)),x86655))+~P1(f317(f317(f224(a897),x86653),x86652))+E(x86651,f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x86652),x86653)),x86654)),x86655))
% 92.29/92.10 [8666]~E(f317(f317(f74(a897),f317(f317(f75(a897),x86661),x86663)),x86664),f317(f317(f74(a897),f317(f317(f75(a897),x86662),x86663)),x86665))+~P1(f317(f317(f224(a897),x86662),x86661))+E(f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x86661),x86662)),x86663)),x86664),x86665)
% 92.29/92.10 [8834]E(f317(f317(f74(a897),f317(f317(f75(a897),x88341),x88342)),x88343),f317(f317(f74(a897),f317(f317(f75(a897),x88344),x88342)),x88345))+~P1(f317(f317(f224(a897),x88344),x88341))+~E(x88345,f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x88341),x88344)),x88342)),x88343))
% 92.29/92.10 [8835]E(f317(f317(f74(a897),f317(f317(f75(a897),x88351),x88352)),x88353),f317(f317(f74(a897),f317(f317(f75(a897),x88354),x88352)),x88355))+~P1(f317(f317(f224(a897),x88354),x88351))+~E(f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x88351),x88354)),x88352)),x88353),x88355)
% 92.29/92.10 [9720]~P76(x97202)+~P1(f317(f29(x97201),x97205))+E(f317(f317(f9(x97201,x97202),f317(f317(f18(x97201,x97202,x97202),f317(f317(f8(x97202,f904(x97202,x97202),x97201),f75(x97202)),x97203)),x97204)),x97205),f317(f317(f75(x97202),f317(f317(f9(x97201,x97202),x97203),x97205)),f317(f317(f9(x97201,x97202),x97204),x97205)))
% 92.29/92.10 [9721]~P61(x97212)+~P1(f317(f29(x97211),x97215))+E(f317(f317(f9(x97211,x97212),f317(f317(f18(x97211,x97212,x97212),f317(f317(f8(x97212,f904(x97212,x97212),x97211),f281(x97212)),x97213)),x97214)),x97215),f317(f317(f281(x97212),f317(f317(f9(x97211,x97212),x97213),x97215)),f317(f317(f9(x97211,x97212),x97214),x97215)))
% 92.29/92.10 [9722]~P77(x97222)+~P1(f317(f29(x97221),x97225))+E(f317(f317(f6(x97221,x97222),f317(f317(f18(x97221,x97222,x97222),f317(f317(f8(x97222,f904(x97222,x97222),x97221),f74(x97222)),x97223)),x97224)),x97225),f317(f317(f74(x97222),f317(f317(f6(x97221,x97222),x97223),x97225)),f317(f317(f6(x97221,x97222),x97224),x97225)))
% 92.29/92.10 [9851]~E(f597(x98515,x98514,x98513,x98512,x98511),f598(x98515,x98514,x98513,x98512,x98511))+P1(f317(f317(f319(f903(x98511,x98511)),f317(f317(f242(x98511,x98511),x98512),x98513)),f297(x98511,x98514)))+~P1(f317(f317(f319(f903(x98511,x98511)),f317(f317(f242(x98511,x98511),x98512),x98513)),f297(x98511,f317(f317(f91(f904(f903(x98511,x98511),a893)),x98514),x98515))))
% 92.29/92.10 [9852]~E(f606(x98525,x98524,x98523,x98522,x98521),f599(x98525,x98524,x98523,x98522,x98521))+P1(f317(f317(f319(f903(x98521,x98521)),f317(f317(f242(x98521,x98521),x98522),x98523)),f297(x98521,x98524)))+~P1(f317(f317(f319(f903(x98521,x98521)),f317(f317(f242(x98521,x98521),x98522),x98523)),f297(x98521,f317(f317(f91(f904(f903(x98521,x98521),a893)),x98524),x98525))))
% 92.29/92.10 [10044]P1(f317(f317(f319(f903(x100441,x100441)),f317(f317(f242(x100441,x100441),x100442),f599(x100445,x100444,x100443,x100442,x100441))),f297(x100441,x100444)))+P1(f317(f317(f319(f903(x100441,x100441)),f317(f317(f242(x100441,x100441),x100442),x100443)),f297(x100441,x100444)))+~P1(f317(f317(f319(f903(x100441,x100441)),f317(f317(f242(x100441,x100441),x100442),x100443)),f297(x100441,f317(f317(f91(f904(f903(x100441,x100441),a893)),x100444),x100445))))
% 92.29/92.10 [10133]P1(f317(f317(f319(f903(x101331,x101331)),f317(f317(f242(x101331,x101331),f598(x101335,x101334,x101333,x101332,x101331)),x101333)),f297(x101331,x101334)))+P1(f317(f317(f319(f903(x101331,x101331)),f317(f317(f242(x101331,x101331),x101332),x101333)),f297(x101331,x101334)))+~P1(f317(f317(f319(f903(x101331,x101331)),f317(f317(f242(x101331,x101331),x101332),x101333)),f297(x101331,f317(f317(f91(f904(f903(x101331,x101331),a893)),x101334),x101335))))
% 92.29/92.10 [10172]P1(f317(f317(f319(f903(x101721,x101721)),f317(f317(f242(x101721,x101721),x101722),x101723)),f297(x101721,x101724)))+P1(f317(f317(f319(f903(x101721,x101721)),f317(f317(f242(x101721,x101721),f597(x101725,x101724,x101723,x101722,x101721)),f598(x101725,x101724,x101723,x101722,x101721))),x101725))+~P1(f317(f317(f319(f903(x101721,x101721)),f317(f317(f242(x101721,x101721),x101722),x101723)),f297(x101721,f317(f317(f91(f904(f903(x101721,x101721),a893)),x101724),x101725))))
% 92.29/92.10 [10173]P1(f317(f317(f319(f903(x101731,x101731)),f317(f317(f242(x101731,x101731),x101732),x101733)),f297(x101731,x101734)))+P1(f317(f317(f319(f903(x101731,x101731)),f317(f317(f242(x101731,x101731),f599(x101735,x101734,x101733,x101732,x101731)),f606(x101735,x101734,x101733,x101732,x101731))),x101735))+~P1(f317(f317(f319(f903(x101731,x101731)),f317(f317(f242(x101731,x101731),x101732),x101733)),f297(x101731,f317(f317(f91(f904(f903(x101731,x101731),a893)),x101734),x101735))))
% 92.29/92.10 [10320]~P1(f317(f317(f319(f903(f898(x103201),f898(x103201))),f317(f317(f242(f898(x103201),f898(x103201)),x103204),x103205)),f148(x103201,x103202)))+~P1(f317(f317(f319(f903(x103201,x103201)),x103203),f317(f162(f903(x103201,x103201)),f317(f317(f171(x103201,x103201),x103204),x103205))))+P1(f317(f317(f247(x103201,x103201,a893),f317(f317(f7(x103201,f904(f903(x103201,x103201),a893),f904(x103201,a893)),f317(f317(f8(f904(x103201,f904(f904(f903(x103201,x103201),a893),a893)),f904(f904(f903(x103201,x103201),a893),f904(x103201,a893)),x103201),f7(x103201,f904(f903(x103201,x103201),a893),a893)),f317(f317(f8(f904(x103201,f903(x103201,x103201)),f904(x103201,f904(f904(f903(x103201,x103201),a893),a893)),x103201),f317(f8(f903(x103201,x103201),f904(f904(f903(x103201,x103201),a893),a893),x103201),f319(f903(x103201,x103201)))),f242(x103201,x103201)))),x103202)),x103203))
% 92.29/92.10 [9751]~P1(f317(f317(f224(a897),x97513),x97512))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97513),x97514)),x97511)),f317(f317(f74(a897),f317(f317(f75(a897),x97512),x97514)),x97515)))+P1(f317(f317(f224(a897),x97511),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97512),x97513)),x97514)),x97515)))
% 92.29/92.10 [9752]~P1(f317(f317(f224(a897),x97523),x97522))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97523),x97524)),x97521)),f317(f317(f74(a897),f317(f317(f75(a897),x97522),x97524)),x97525)))+P1(f317(f317(f225(a897),x97521),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97522),x97523)),x97524)),x97525)))
% 92.29/92.10 [9769]~P1(f317(f317(f224(a897),x97691),x97694))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97691),x97692)),x97693)),f317(f317(f74(a897),f317(f317(f75(a897),x97694),x97692)),x97695)))+~P1(f317(f317(f224(a897),x97693),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97694),x97691)),x97692)),x97695)))
% 92.29/92.10 [9770]~P1(f317(f317(f224(a897),x97701),x97704))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97701),x97702)),x97703)),f317(f317(f74(a897),f317(f317(f75(a897),x97704),x97702)),x97705)))+~P1(f317(f317(f225(a897),x97703),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97704),x97701)),x97702)),x97705)))
% 92.29/92.10 [9885]~P1(f317(f317(f224(a897),x98852),x98851))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x98851),x98853)),x98854)),f317(f317(f74(a897),f317(f317(f75(a897),x98852),x98853)),x98855)))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x98851),x98852)),x98853)),x98854)),x98855))
% 92.29/92.10 [9886]~P1(f317(f317(f224(a897),x98862),x98861))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x98861),x98863)),x98864)),f317(f317(f74(a897),f317(f317(f75(a897),x98862),x98863)),x98865)))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x98861),x98862)),x98863)),x98864)),x98865))
% 92.29/92.10 [9929]~P1(f317(f317(f224(a897),x99294),x99291))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x99291),x99292)),x99293)),f317(f317(f74(a897),f317(f317(f75(a897),x99294),x99292)),x99295)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x99291),x99294)),x99292)),x99293)),x99295))
% 92.29/92.10 [9930]~P1(f317(f317(f224(a897),x99304),x99301))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x99301),x99302)),x99303)),f317(f317(f74(a897),f317(f317(f75(a897),x99304),x99302)),x99305)))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x99301),x99304)),x99302)),x99303)),x99305))
% 92.29/92.10 [10160]~P11(x101601,x101602,x101605,x101603)+~P1(f317(f317(f319(f903(x101601,x101601)),x101604),x101605))+P1(f317(f317(f247(x101601,x101601,a893),f317(f317(f7(x101601,f904(x101601,x101602),f904(x101601,a893)),f317(f317(f8(f904(x101602,a893),f904(f904(x101601,x101602),f904(x101601,a893)),x101601),f8(x101602,a893,x101601)),f317(f317(f8(x101602,f904(x101602,a893),x101601),a314),x101603))),x101603)),x101604))
% 92.29/92.10 [8541]~P19(x85416,x85411,x85412,x85414)+E(f317(f67(x85411,x85411,x85411,f317(x85412,x85413)),f317(x85414,x85415)),f317(f67(x85411,x85411,x85411,f317(x85414,x85415)),f317(x85412,x85413)))+~P1(f317(f29(x85416),x85415))
% 92.29/92.10 [8977]~P24(x89771,x89773,x89775,x89776)+~P24(x89773,x89772,x89774,f317(f300(x89771,x89773,x89775),x89776))+P24(x89771,x89772,f317(f67(x89773,x89772,x89771,x89774),x89775),x89776)
% 92.29/92.10 [8978]~P24(x89781,x89783,x89785,x89786)+~P24(x89783,x89782,x89784,f317(f300(x89781,x89783,x89785),x89786))+P24(x89781,x89782,f317(f67(x89783,x89782,x89781,x89784),x89785),x89786)
% 92.29/92.10 [9156]~P24(x91564,x91561,x91565,x91566)+~P24(x91564,x91562,f317(f67(x91561,x91562,x91564,x91563),x91565),x91566)+P24(x91561,x91562,x91563,f317(f300(x91564,x91561,x91565),x91566))
% 92.29/92.10 [9548]~P1(f317(f317(x95483,x95482),x95486))+~P1(f317(f317(x95484,x95485),x95482))+P1(f317(f317(f319(x95481),x95482),f290(x95481,x95483,x95484,x95485,x95486)))
% 92.29/92.10 [9549]~P1(f317(f317(x95494,x95492),x95496))+~P1(f317(f317(x95493,x95495),x95492))+P1(f317(f317(f319(x95491),x95492),f287(x95491,x95493,x95494,x95495,x95496)))
% 92.29/92.10 [9669]E(x96691,x96692)+E(x96693,x96694)+~P1(f317(f317(f319(f903(f898(x96695),f898(x96695))),f317(f317(f242(f898(x96695),f898(x96695)),f317(f317(f141(x96695),x96693),x96691)),f317(f317(f141(x96695),x96694),x96692))),f147(x96695,x96696)))
% 92.29/92.10 [9678]~E(x96782,x96784)+P1(f317(f317(f319(f903(f898(x96781),f898(x96781))),f317(f317(f242(f898(x96781),f898(x96781)),f317(f317(f141(x96781),x96782),x96783)),f317(f317(f141(x96781),x96784),x96785))),f135(x96781,x96786)))+~P1(f317(f317(f319(f903(f898(x96781),f898(x96781))),f317(f317(f242(f898(x96781),f898(x96781)),x96783),x96785)),f135(x96781,x96786)))
% 92.29/92.10 [9679]~E(x96792,x96794)+P1(f317(f317(f319(f903(f898(x96791),f898(x96791))),f317(f317(f242(f898(x96791),f898(x96791)),f317(f317(f141(x96791),x96792),x96793)),f317(f317(f141(x96791),x96794),x96795))),f137(x96791,x96796)))+~P1(f317(f317(f319(f903(f898(x96791),f898(x96791))),f317(f317(f242(f898(x96791),f898(x96791)),x96793),x96795)),f137(x96791,x96796)))
% 92.29/92.10 [9680]~E(x96802,x96804)+P1(f317(f317(f319(f903(f898(x96801),f898(x96801))),f317(f317(f242(f898(x96801),f898(x96801)),f317(f317(f141(x96801),x96802),x96803)),f317(f317(f141(x96801),x96804),x96805))),f147(x96801,x96806)))+~P1(f317(f317(f319(f903(f898(x96801),f898(x96801))),f317(f317(f242(f898(x96801),f898(x96801)),x96803),x96805)),f147(x96801,x96806)))
% 92.29/92.10 [9681]~E(x96812,x96814)+P1(f317(f317(f319(f903(f898(x96811),f898(x96811))),f317(f317(f242(f898(x96811),f898(x96811)),f317(f317(f124(x96811),x96812),x96813)),f317(f317(f124(x96811),x96814),x96815))),f147(x96811,x96816)))+~P1(f317(f317(f319(f903(f898(x96811),f898(x96811))),f317(f317(f242(f898(x96811),f898(x96811)),x96813),x96815)),f147(x96811,x96816)))
% 92.29/92.10 [9682]~E(x96823,x96825)+P1(f317(f317(f319(f903(f898(x96821),f898(x96821))),f317(f317(f242(f898(x96821),f898(x96821)),f317(f317(f124(x96821),x96822),x96823)),f317(f317(f124(x96821),x96824),x96825))),f147(x96821,x96826)))+~P1(f317(f317(f319(f903(f898(x96821),f898(x96821))),f317(f317(f242(f898(x96821),f898(x96821)),x96822),x96824)),f147(x96821,x96826)))
% 92.29/92.10 [9739]E(x97391,x97392)+P1(f317(f317(f319(f903(f898(x97393),f898(x97393))),f317(f317(f242(f898(x97393),f898(x97393)),x97391),x97392)),f147(x97393,x97394)))+~P1(f317(f317(f319(f903(f898(x97393),f898(x97393))),f317(f317(f242(f898(x97393),f898(x97393)),f317(f317(f141(x97393),x97395),x97391)),f317(f317(f141(x97393),x97396),x97392))),f147(x97393,x97394)))
% 92.29/92.10 [9889]~E(x98893,x98895)+P1(f317(f317(f319(f903(f898(x98891),f898(x98891))),f317(f317(f242(f898(x98891),f898(x98891)),f317(f317(f124(x98891),x98892),f317(f317(f141(x98891),x98893),f103(x98891)))),f317(f317(f124(x98891),x98894),f317(f317(f141(x98891),x98895),f103(x98891))))),f147(x98891,x98896)))+~P1(f317(f317(f319(f903(f898(x98891),f898(x98891))),f317(f317(f242(f898(x98891),f898(x98891)),x98892),x98894)),f147(x98891,x98896)))
% 92.29/92.10 [9933]E(x99331,x99332)+E(x99333,x99334)+~P1(f317(f317(f319(f903(f898(x99335),f898(x99335))),f317(f317(f242(f898(x99335),f898(x99335)),f317(f317(f124(x99335),x99333),f317(f317(f141(x99335),x99331),f103(x99335)))),f317(f317(f124(x99335),x99334),f317(f317(f141(x99335),x99332),f103(x99335))))),f147(x99335,x99336)))
% 92.29/92.10 [9959]E(x99591,x99592)+~P1(f317(f317(f319(f903(f898(x99593),f898(x99593))),f317(f317(f242(f898(x99593),f898(x99593)),f317(f317(f124(x99593),x99591),f317(f317(f141(x99593),x99595),f103(x99593)))),f317(f317(f124(x99593),x99592),f317(f317(f141(x99593),x99596),f103(x99593))))),f147(x99593,x99594)))+P1(f317(f317(f319(f903(f898(x99593),f898(x99593))),f317(f317(f242(f898(x99593),f898(x99593)),x99591),x99592)),f147(x99593,x99594)))
% 92.29/92.10 [9997]~P1(f317(f317(f319(f903(f904(x99971,a893),f904(x99971,a893))),f317(f317(f242(f904(x99971,a893),f904(x99971,a893)),x99972),x99974)),f309(x99971,x99976)))+~P1(f317(f317(f319(f903(f904(x99971,a893),f904(x99971,a893))),f317(f317(f242(f904(x99971,a893),f904(x99971,a893)),x99973),x99975)),f309(x99971,x99976)))+P1(f317(f317(f319(f903(f904(x99971,a893),f904(x99971,a893))),f317(f317(f242(f904(x99971,a893),f904(x99971,a893)),f317(f317(f91(f904(x99971,a893)),x99972),x99973)),f317(f317(f91(f904(x99971,a893)),x99974),x99975))),f309(x99971,x99976)))
% 92.29/92.10 [5733]~E(f317(f317(f124(x57331),x57336),x57333),x57335)+E(f317(f317(f124(x57331),x57332),x57333),f317(f317(f141(x57331),x57334),x57335))+~E(x57332,f317(f317(f141(x57331),x57334),x57336))
% 92.29/92.10 [5734]~E(f317(f317(f124(x57341),x57346),x57343),x57345)+E(f317(f317(f124(x57341),x57342),x57343),f317(f317(f124(x57341),x57344),x57345))+~E(x57342,f317(f317(f124(x57341),x57344),x57346))
% 92.29/92.10 [5735]E(f317(f317(f124(x57351),x57352),x57353),f317(f317(f141(x57351),x57354),x57355))+~E(f317(f317(f141(x57351),x57354),x57356),x57352)+~E(x57355,f317(f317(f124(x57351),x57356),x57353))
% 92.29/92.10 [5736]E(f317(f317(f124(x57361),x57362),x57363),f317(f317(f141(x57361),x57364),x57365))+~E(f317(f317(f141(x57361),x57364),x57366),x57362)+~E(x57365,f317(f317(f124(x57361),x57366),x57363))
% 92.29/92.10 [5737]~E(f317(f317(f124(x57371),x57372),x57376),x57374)+E(f317(f317(f124(x57371),x57372),x57373),f317(f317(f124(x57371),x57374),x57375))+~E(x57373,f317(f317(f124(x57371),x57376),x57375))
% 92.29/92.10 [5738]~E(f317(f317(f124(x57381),x57382),x57386),x57384)+E(f317(f317(f124(x57381),x57382),x57383),f317(f317(f124(x57381),x57384),x57385))+~E(x57383,f317(f317(f124(x57381),x57386),x57385))
% 92.29/92.10 [6916]E(f317(x69161,x69162),f317(x69163,x69162))+~E(f317(f317(f144(x69164,x69165),x69161),x69166),f317(f317(f144(x69164,x69165),x69163),x69166))+~P1(f317(f317(f319(x69164),x69162),f317(f162(x69164),x69166)))
% 92.29/92.10 [7306]~P19(x73064,x73065,x73066,x73061)+E(f317(f317(x73061,x73062),x73063),f317(f317(f59(x73064,x73065,x73066),x73063),x73062))+~P1(f317(f29(x73064),x73062))
% 92.29/92.10 [7375]~E(x73752,f317(x73754,x73756))+~P1(f317(f317(f319(x73753),x73756),x73755))+P1(f317(f317(f319(x73751),x73752),f317(f300(x73753,x73751,x73754),x73755)))
% 92.29/92.10 [7376]~E(x73762,f317(x73764,x73766))+~P1(f317(f317(f319(x73763),x73766),x73765))+P1(f317(f317(f319(x73761),x73762),f317(f300(x73763,x73761,x73764),x73765)))
% 92.29/92.10 [7377]~E(x73772,f317(x73774,x73776))+~P1(f317(f317(f319(x73773),x73776),x73775))+P1(f317(f317(f319(x73771),x73772),f317(f300(x73773,x73771,x73774),x73775)))
% 92.29/92.10 [7378]~E(f317(x73784,x73782),x73786)+~P1(f317(f317(f319(x73783),x73786),x73785))+P1(f317(f317(f319(x73781),x73782),f317(f301(x73781,x73783,x73784),x73785)))
% 92.29/92.10 [7829]~P31(x78291,x78292,x78294,x78296)+P31(x78291,x78292,f317(f317(f141(x78291),x78293),x78294),f317(f317(f141(x78291),x78295),x78296))+~P1(f317(f317(x78292,x78293),x78295))
% 92.29/92.10 [7830]~P31(x78301,x78302,x78304,x78306)+P31(x78301,x78302,f317(f317(f141(x78301),x78303),x78304),f317(f317(f141(x78301),x78305),x78306))+~P1(f317(f317(x78302,x78303),x78305))
% 92.29/92.10 [8844]~P56(x88444,x88445,x88441,x88442,x88446)+E(f317(x88441,f317(x88442,x88443)),x88443)+~P1(f317(f317(f319(x88445),x88443),x88446))
% 92.29/92.10 [9345]~P25(x93452,x93451,x93455,x93454,x93453)+E(f317(f85(x93451,x93452,x93453,f85(x93452,x93451,x93454,x93455)),x93456),f317(x93455,x93456))+~P1(f317(f317(f319(x93452),x93456),x93454))
% 92.29/92.10 [9356]~P24(x93561,x93562,x93563,x93566)+P24(x93561,x93562,f69(x93561,x93562,x93563,x93564,x93565),x93566)+P1(f317(f317(f319(x93562),x93565),f317(f300(x93561,x93562,x93563),x93566)))
% 92.29/92.10 [9671]E(x96711,x96712)+E(f317(f179(f898(x96713)),x96714),f317(f179(f898(x96713)),x96715))+~P1(f317(f317(f319(f903(f898(x96713),f898(x96713))),f317(f317(f242(f898(x96713),f898(x96713)),f317(f317(f141(x96713),x96711),x96714)),f317(f317(f141(x96713),x96712),x96715))),f135(x96713,x96716)))
% 92.29/92.10 [9734]~P16(x97341,x97342,x97343)+E(f317(f317(f59(x97341,x97342,x97343),x97344),x97345),x97346)+~P1(f317(f61(x97341,x97342,x97343,x97344,x97345),x97346))
% 92.29/92.10 [9742]E(f317(f179(f898(x97421)),x97422),f317(f179(f898(x97421)),x97423))+P1(f317(f317(f319(f903(f898(x97421),f898(x97421))),f317(f317(f242(f898(x97421),f898(x97421)),x97422),x97423)),f135(x97421,x97424)))+~P1(f317(f317(f319(f903(f898(x97421),f898(x97421))),f317(f317(f242(f898(x97421),f898(x97421)),f317(f317(f141(x97421),x97425),x97422)),f317(f317(f141(x97421),x97426),x97423))),f135(x97421,x97424)))
% 92.29/92.10 [9763]~P1(f317(f317(f319(f903(x97631,x97631)),f317(f317(f242(x97631,x97631),x97632),x97634)),f297(x97631,x97636)))+P1(f317(f317(f319(f903(f898(x97631),f898(x97631))),f317(f317(f242(f898(x97631),f898(x97631)),f317(f317(f141(x97631),x97632),x97633)),f317(f317(f141(x97631),x97634),x97635))),f297(f898(x97631),f147(x97631,x97636))))+~P1(f317(f317(f319(f903(f898(x97631),f898(x97631))),f317(f317(f242(f898(x97631),f898(x97631)),x97633),x97635)),f297(f898(x97631),f147(x97631,x97636))))
% 92.29/92.10 [9939]~P1(f317(x99392,x99396))+~E(f317(f126(x99391,x99392),x99393),f317(f317(f141(x99391),x99394),x99395))+~P1(f317(f317(f319(x99391),x99396),f317(f162(x99391),f724(x99395,x99394,x99393,x99392,x99391))))
% 92.29/92.10 [9940]~P1(f317(x99404,x99406))+~E(f317(f317(f141(x99401),x99402),x99403),f317(f126(x99401,x99404),x99405))+~P1(f317(f317(f319(x99401),x99406),f317(f162(x99401),f721(x99405,x99404,x99403,x99402,x99401))))
% 92.29/92.10 [10257]~P77(x102572)+E(f317(f317(f6(x102571,x102572),f317(f317(f8(f904(x102573,a893),x102572,x102571),f317(f6(x102573,x102572),x102574)),f317(f317(f8(f904(x102573,a893),f904(x102573,a893),x102571),f252(x102573)),f317(f317(f8(f904(x102573,a893),f904(x102573,a893),x102571),f317(f18(x102573,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102573),a315),f317(f317(f7(x102573,f904(x102573,a893),a893),f319(x102573)),x102575)))),f317(f7(x102573,x102571,a893),f317(f317(f8(x102571,f904(x102571,a893),x102573),a314),x102576)))))),f317(f300(x102573,x102571,x102576),x102575)),f317(f317(f6(x102573,x102572),x102574),x102575))+~P1(f317(f29(x102573),x102575))
% 92.29/92.10 [6974]~P107(x69743)+P1(f317(x69742,x69745))+E(f317(f126(x69741,x69742),f317(f317(f138(x69741,x69743,x69744),x69745),x69746)),f317(f126(x69741,x69742),x69746))
% 92.29/92.10 [6976]P1(f317(x69761,x69762))+~E(f156(x69763,x69761,x69764),f317(f317(f242(f898(x69763),f898(x69763)),x69765),x69766))+~P1(f317(f317(f319(x69763),x69762),f317(f162(x69763),x69765)))
% 92.29/92.10 [7024]~P1(f317(x70242,x70246))+~E(f156(x70241,x70242,x70243),f317(f317(f242(f898(x70241),f898(x70241)),x70244),x70245))+~P1(f317(f317(f319(x70241),x70246),f317(f162(x70241),x70245)))
% 92.29/92.10 [7692]~P14(x76921,x76922,x76923)+~P1(f317(f29(x76921),x76926))+E(f317(f317(f59(x76921,x76922,x76923),x76924),f317(f317(f299(x76921),x76925),x76926)),f317(f317(f59(x76921,x76922,x76923),f317(f317(x76923,x76925),x76924)),x76926))
% 92.29/92.10 [7745]~P107(x77452)+~P1(f317(f317(f224(x77452),f317(x77453,x77454)),f317(x77453,x77455)))+E(f317(f317(f138(x77451,x77452,x77453),x77454),f317(f317(f141(x77451),x77455),x77456)),f317(f317(f141(x77451),x77454),f317(f317(f141(x77451),x77455),x77456)))
% 92.29/92.10 [7858]E(x78581,x78582)+~E(f317(f317(f244(x78583,x78584),x78581),f317(f16(f904(x78584,a893),x78583),x78585)),f317(f317(f244(x78583,x78584),x78582),f317(f16(f904(x78584,a893),x78583),x78585)))+~P1(f317(f317(f319(x78584),x78586),x78585))
% 92.29/92.10 [7925]~P14(x79251,x79252,x79253)+~P1(f317(f29(x79251),x79256))+E(f317(f317(f59(x79251,x79252,x79253),x79254),f317(f317(f299(x79251),x79255),x79256)),f317(f317(x79253,x79255),f317(f317(f59(x79251,x79252,x79253),x79254),x79256)))
% 92.29/92.10 [8043]~P16(x80431,x80432,x80433)+~P1(f317(f29(x80431),x80436))+E(f317(f317(f59(x80431,x80432,x80433),f317(f317(x80433,x80434),x80435)),x80436),f317(f317(x80433,x80434),f317(f317(f59(x80431,x80432,x80433),x80435),x80436)))
% 92.29/92.10 [8111]~P20(x81112,x81115,x81116,x81111)+~P1(f317(f29(x81112),x81114))+E(f317(x81111,f317(f317(f299(x81112),x81113),x81114)),f317(f67(x81115,x81115,x81115,f317(x81111,x81114)),f317(x81116,x81113)))
% 92.29/92.10 [8143]~P107(x81432)+P1(f317(f317(f224(x81432),f317(x81433,x81434)),f317(x81433,x81435)))+E(f317(f317(f138(x81431,x81432,x81433),x81434),f317(f317(f141(x81431),x81435),x81436)),f317(f317(f141(x81431),x81435),f317(f317(f138(x81431,x81432,x81433),x81434),x81436)))
% 92.29/92.10 [8286]~E(f317(f179(f898(x82861)),x82865),f317(f179(f898(x82862)),x82866))+~E(f317(f179(f898(x82861)),x82863),f317(f179(f898(x82862)),x82864))+E(f317(f317(f124(f903(x82861,x82862)),f317(f317(f171(x82861,x82862),x82863),x82864)),f317(f317(f171(x82861,x82862),x82865),x82866)),f317(f317(f171(x82861,x82862),f317(f317(f124(x82861),x82863),x82865)),f317(f317(f124(x82862),x82864),x82866)))
% 92.29/92.10 [8398]~E(x83982,f317(f300(x83983,x83981,x83984),x83986))+P1(f317(f317(f224(f904(x83981,a893)),x83982),f317(f300(x83983,x83981,x83984),x83985)))+~P1(f317(f317(f224(f904(x83983,a893)),x83986),x83985))
% 92.29/92.10 [8500]~P107(x85005)+E(f317(x85001,x85002),f317(x85001,x85003))+E(f317(f317(f138(x85004,x85005,x85001),x85002),f317(f317(f138(x85004,x85005,x85001),x85003),x85006)),f317(f317(f138(x85004,x85005,x85001),x85003),f317(f317(f138(x85004,x85005,x85001),x85002),x85006)))
% 92.29/92.10 [8673]~P1(f317(f317(f319(x86732),x86734),f317(x86736,x86733)))+~P1(f317(f317(f319(x86731),x86733),x86735))+P1(f317(f317(f319(f903(x86731,x86732)),f317(f317(f242(x86731,x86732),x86733),x86734)),f317(f317(f244(x86731,x86732),x86735),x86736)))
% 92.29/92.10 [8674]~P1(f317(f317(f319(x86742),x86744),f317(x86746,x86743)))+~P1(f317(f317(f319(x86741),x86743),x86745))+P1(f317(f317(f319(f903(x86741,x86742)),f317(f317(f242(x86741,x86742),x86743),x86744)),f317(f317(f244(x86741,x86742),x86745),x86746)))
% 92.29/92.10 [9149]~P76(x91492)+~P24(x91494,x91491,x91495,x91496)+E(f317(f317(f9(x91491,x91492),x91493),f317(f300(x91494,x91491,x91495),x91496)),f317(f317(f9(x91494,x91492),f317(f67(x91491,x91492,x91494,x91493),x91495)),x91496))
% 92.29/92.10 [9150]~P77(x91502)+~P24(x91504,x91501,x91505,x91506)+E(f317(f317(f6(x91501,x91502),x91503),f317(f300(x91504,x91501,x91505),x91506)),f317(f317(f6(x91504,x91502),f317(f67(x91501,x91502,x91504,x91503),x91505)),x91506))
% 92.29/92.10 [9197]~P33(x91972,x91975,x91971,x91973,x91976)+P1(f317(f317(x91971,f317(f317(f154(x91972),x91973),x91974)),f317(f317(f154(x91975),x91976),x91974)))+~P1(f317(f317(f225(a897),x91974),f317(f179(f898(x91972)),x91973)))
% 92.29/92.10 [9198]~P33(x91982,x91985,x91981,x91983,x91986)+P1(f317(f317(x91981,f317(f317(f154(x91982),x91983),x91984)),f317(f317(f154(x91985),x91986),x91984)))+~P1(f317(f317(f225(a897),x91984),f317(f179(f898(x91985)),x91986)))
% 92.29/92.10 [9199]~P33(x91992,x91995,x91991,x91993,x91996)+P1(f317(f317(x91991,f317(f317(f154(x91992),x91993),x91994)),f317(f317(f154(x91995),x91996),x91994)))+~P1(f317(f317(f225(a897),x91994),f317(f179(f898(x91992)),x91993)))
% 92.29/92.10 [9210]~E(f317(f300(x92101,x92102,x92103),x92104),x92106)+E(f317(f300(x92101,x92102,x92103),f317(f300(x92102,x92101,f85(x92101,x92102,x92104,x92103)),x92105)),x92105)+~P1(f317(f317(f224(f904(x92102,a893)),x92105),x92106))
% 92.29/92.10 [9416]~P19(x94163,x94161,x94166,x94162)+~P1(f317(f29(x94163),x94164))+E(f317(f67(x94161,x94161,x94161,f317(x94162,f317(f317(f23(f904(x94163,a893)),x94164),f317(f317(f299(x94163),x94165),f178(f904(x94163,a893)))))),f317(x94166,x94165)),f317(x94162,f317(f317(f299(x94163),x94165),x94164)))
% 92.29/92.10 [10026]~E(f317(f300(x100262,x100264,x100266),f232(f904(x100262,a893))),f232(f904(x100264,a893)))+~E(f317(f300(x100261,x100263,x100265),f232(f904(x100261,a893))),f232(f904(x100263,a893)))+E(f317(f300(f903(x100261,x100262),f903(x100263,x100264),f248(x100261,x100263,x100262,x100264,x100265,x100266)),f232(f904(f903(x100261,x100262),a893))),f232(f904(f903(x100263,x100264),a893)))
% 92.29/92.10 [10083]~P24(x100833,x100834,x100835,f317(x100836,f516(x100836,x100835,x100834,x100833,x100832,x100831)))+P24(x100833,x100834,x100835,f317(f317(f36(x100832,f904(x100833,a893)),x100831),x100836))+E(x100831,f178(f904(x100832,a893)))
% 92.29/92.10 [10140]P24(x101406,x101405,x101404,f317(f317(f36(x101402,f904(x101406,a893)),x101401),x101403))+E(x101401,f178(f904(x101402,a893)))+P1(f317(f317(f319(x101402),f516(x101403,x101404,x101405,x101406,x101402,x101401)),x101401))
% 92.29/92.10 [10145]P1(f317(f317(f319(x101451),f568(x101452,x101453,x101454,x101455,x101456,x101451)),x101456))+P1(f317(f317(f224(f904(f903(x101451,x101454),a893)),f317(f317(f244(x101451,x101454),x101456),x101453)),f317(f317(f244(x101451,x101454),x101455),x101452)))+~P1(f317(f317(f224(f904(x101451,a893)),x101456),x101455))
% 92.29/92.10 [10275]~P1(f317(f317(f224(f904(x102752,a893)),f317(x102754,f568(x102756,x102754,x102752,x102755,x102753,x102751))),f317(x102756,f568(x102756,x102754,x102752,x102755,x102753,x102751))))+~P1(f317(f317(f224(f904(x102751,a893)),x102753),x102755))+P1(f317(f317(f224(f904(f903(x102751,x102752),a893)),f317(f317(f244(x102751,x102752),x102753),x102754)),f317(f317(f244(x102751,x102752),x102755),x102756)))
% 92.29/92.10 [7881]~P1(f317(x78811,x78815))+~P1(f317(x78816,x78814))+P1(f317(x78811,f317(f246(x78812,x78813),f317(f317(f242(x78812,x78813),x78814),x78815))))
% 92.29/92.10 [7882]~P1(f317(x78821,x78824))+~P1(f317(x78826,x78825))+P1(f317(x78821,f317(f241(x78822,x78823),f317(f317(f242(x78822,x78823),x78824),x78825))))
% 92.29/92.10 [7929]~P1(f317(f317(x79294,x79296),x79295))+~P1(f317(f317(f319(x79291),x79296),x79293))+P1(f317(f317(f317(f35(x79291,f904(x79292,a893)),x79293),x79294),x79295))
% 92.29/92.10 [7930]~P1(f317(f317(x79304,x79306),x79305))+~P1(f317(f317(f319(x79301),x79306),x79303))+P1(f317(f317(f317(f35(x79301,f904(x79302,a893)),x79303),x79304),x79305))
% 92.29/92.10 [8235]~P1(f317(f317(f319(x82351),x82352),f317(x82355,x82356)))+~P1(f317(f317(f319(x82353),x82356),x82354))+P1(f317(f317(f319(x82351),x82352),f317(f317(f35(x82353,f904(x82351,a893)),x82354),x82355)))
% 92.29/92.10 [8236]~P1(f317(f317(f319(x82361),x82362),f317(x82365,x82366)))+~P1(f317(f317(f319(x82363),x82366),x82364))+P1(f317(f317(f319(x82361),x82362),f317(f317(f35(x82363,f904(x82361,a893)),x82364),x82365)))
% 92.29/92.10 [8279]P1(f317(f317(x82791,x82792),x82793))+~P1(f317(f317(x82794,x82792),x82793))+~P1(f317(f317(f224(f904(x82795,f904(x82796,a893))),x82794),x82791))
% 92.29/92.10 [8280]P1(f317(f317(x82801,x82802),x82803))+~P1(f317(f317(x82804,x82802),x82803))+~P1(f317(f317(f224(f904(x82805,f904(x82806,a893))),x82804),x82801))
% 92.29/92.10 [8419]P1(f317(f317(x84191,x84192),x84193))+~P1(f317(f317(f319(x84194),x84192),x84195))+~P1(f317(f317(f317(f36(x84194,f904(x84196,a893)),x84195),x84191),x84193))
% 92.29/92.10 [8420]P1(f317(f317(x84201,x84202),x84203))+~P1(f317(f317(f319(x84204),x84202),x84205))+~P1(f317(f317(f317(f36(x84204,f904(x84206,a893)),x84205),x84201),x84203))
% 92.29/92.10 [8421]P1(f317(f317(x84211,x84212),x84213))+~P1(f317(f317(f319(x84214),x84212),x84215))+~P1(f317(f317(f317(f36(x84214,f904(x84216,a893)),x84215),x84211),x84213))
% 92.29/92.10 [8554]P1(f317(f317(f319(x85541),x85542),f317(x85543,x85544)))+~P1(f317(f317(f319(x85545),x85544),x85546))+~P1(f317(f317(f319(x85541),x85542),f317(f317(f36(x85545,f904(x85541,a893)),x85546),x85543)))
% 92.29/92.10 [8555]P1(f317(f317(f319(x85551),x85552),f317(x85553,x85554)))+~P1(f317(f317(f319(x85555),x85554),x85556))+~P1(f317(f317(f319(x85551),x85552),f317(f317(f36(x85555,f904(x85551,a893)),x85556),x85553)))
% 92.29/92.10 [8556]P1(f317(f317(f319(x85561),x85562),f317(x85563,x85564)))+~P1(f317(f317(f319(x85565),x85564),x85566))+~P1(f317(f317(f319(x85561),x85562),f317(f317(f36(x85565,f904(x85561,a893)),x85566),x85563)))
% 92.29/92.10 [8823]~P11(x88234,x88235,x88236,x88231)+E(f317(x88231,x88232),f317(x88231,x88233))+~P1(f317(f317(f319(f903(x88234,x88234)),f317(f317(f242(x88234,x88234),x88232),x88233)),x88236))
% 92.29/92.10 [8858]P1(f317(f317(f224(f904(x88581,a893)),x88582),f317(x88583,x88584)))+~P1(f317(f317(f319(x88585),x88584),x88586))+~P1(f317(f317(f224(f904(x88581,a893)),x88582),f317(f317(f36(x88585,f904(x88581,a893)),x88586),x88583)))
% 92.29/92.10 [8891]~P54(x88913,x88914,f317(f276(x88914,x88913),x88915))+E(x88911,f178(f904(x88912,a893)))+E(f317(f317(f36(x88912,f904(x88913,a893)),x88911),f317(f317(f8(f904(x88914,a893),f904(x88913,a893),x88912),f275(x88914,x88913,x88915)),x88916)),f317(f275(x88914,x88913,x88915),f317(f317(f36(x88912,f904(x88914,a893)),x88911),x88916)))
% 92.29/92.10 [8968]P1(f317(f317(f319(x89681),x89682),f317(f275(x89683,x89681,x89684),x89685)))+~P1(f317(f317(f319(x89683),x89686),x89685))+~P1(f317(f317(f319(f903(x89683,x89681)),f317(f317(f242(x89683,x89681),x89686),x89682)),x89684))
% 92.29/92.10 [8969]P1(f317(f317(f319(x89691),x89692),f317(f275(x89693,x89691,x89694),x89695)))+~P1(f317(f317(f319(x89693),x89696),x89695))+~P1(f317(f317(f319(f903(x89693,x89691)),f317(f317(f242(x89693,x89691),x89696),x89692)),x89694))
% 92.29/92.10 [9275]P1(f317(f317(f224(f904(x92751,a893)),f317(f275(x92752,x92751,x92753),x92754)),f317(f275(x92752,x92751,x92755),x92756)))+~P1(f317(f317(f224(f904(x92752,a893)),x92754),x92756))+~P1(f317(f317(f224(f904(f903(x92752,x92751),a893)),x92753),x92755))
% 92.29/92.10 [9465]~P1(f317(f317(f319(x94652),x94656),x94654))+~P1(f317(f317(f224(f904(x94651,a893)),x94653),x94655))+P1(f317(f317(f224(f904(f903(x94651,x94652),a893)),f317(f317(f244(x94651,x94652),x94653),f317(f16(f904(x94652,a893),x94651),x94654))),f317(f317(f244(x94651,x94652),x94655),f317(f16(f904(x94652,a893),x94651),x94654))))
% 92.29/92.10 [9477]~P33(x94771,x94772,x94773,x94775,x94776)+P1(f317(f317(f247(x94771,x94772,a893),x94773),x94774))+~P1(f317(f317(f319(f903(x94771,x94772)),x94774),f317(f162(f903(x94771,x94772)),f317(f317(f171(x94771,x94772),x94775),x94776))))
% 92.29/92.10 [9625]~E(x96253,x96255)+P1(f317(f317(f319(f903(f898(x96251),f898(x96251))),f317(f317(f242(f898(x96251),f898(x96251)),f317(f317(f141(x96251),x96252),x96253)),f317(f317(f141(x96251),x96254),x96255))),f147(x96251,x96256)))+~P1(f317(f317(f319(f903(x96251,x96251)),f317(f317(f242(x96251,x96251),x96252),x96254)),x96256))
% 92.29/92.10 [9631]~E(f317(f179(f898(x96311)),x96313),f317(f179(f898(x96311)),x96315))+P1(f317(f317(f319(f903(f898(x96311),f898(x96311))),f317(f317(f242(f898(x96311),f898(x96311)),f317(f317(f141(x96311),x96312),x96313)),f317(f317(f141(x96311),x96314),x96315))),f135(x96311,x96316)))+~P1(f317(f317(f319(f903(x96311,x96311)),f317(f317(f242(x96311,x96311),x96312),x96314)),x96316))
% 92.29/92.10 [9663]P1(f317(f317(f319(f903(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96633)),f317(f317(f173(f903(x96631,x96631),a893),f317(a102,x96634)),x96635)))+~P1(f317(f317(f319(f903(x96631,x96631)),f317(f317(f242(x96631,x96631),x96636),x96633)),x96635))+~P1(f317(f317(f319(f903(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96636)),f317(f317(f173(f903(x96631,x96631),a893),x96634),x96635)))
% 92.29/92.10 [9664]P1(f317(f317(f319(f903(x96641,x96641)),f317(f317(f242(x96641,x96641),x96642),x96643)),f317(f317(f173(f903(x96641,x96641),a893),f317(a102,x96644)),x96645)))+~P1(f317(f317(f319(f903(x96641,x96641)),f317(f317(f242(x96641,x96641),x96642),x96646)),x96645))+~P1(f317(f317(f319(f903(x96641,x96641)),f317(f317(f242(x96641,x96641),x96646),x96643)),f317(f317(f173(f903(x96641,x96641),a893),x96644),x96645)))
% 92.29/92.10 [9667]~P1(f317(f317(f319(x96674),x96675),x96676))+P1(f317(f317(f224(f904(x96671,a893)),x96672),x96673))+~P1(f317(f317(f224(f904(f903(x96671,x96674),a893)),f317(f317(f244(x96671,x96674),x96672),f317(f16(f904(x96674,a893),x96671),x96676))),f317(f317(f244(x96671,x96674),x96673),f317(f16(f904(x96674,a893),x96671),x96676))))
% 92.29/92.10 [9712]E(x97121,x97122)+~P1(f317(f317(f319(f903(f898(x97123),f898(x97123))),f317(f317(f242(f898(x97123),f898(x97123)),f317(f317(f141(x97123),x97121),x97125)),f317(f317(f141(x97123),x97122),x97126))),f135(x97123,x97124)))+P1(f317(f317(f319(f903(x97123,x97123)),f317(f317(f242(x97123,x97123),x97121),x97122)),x97124))
% 92.29/92.10 [9713]E(x97131,x97132)+~P1(f317(f317(f319(f903(f898(x97133),f898(x97133))),f317(f317(f242(f898(x97133),f898(x97133)),f317(f317(f141(x97133),x97131),x97135)),f317(f317(f141(x97133),x97132),x97136))),f137(x97133,x97134)))+P1(f317(f317(f319(f903(x97133,x97133)),f317(f317(f242(x97133,x97133),x97131),x97132)),x97134))
% 92.29/92.10 [9714]E(x97141,x97142)+~P1(f317(f317(f319(f903(f898(x97143),f898(x97143))),f317(f317(f242(f898(x97143),f898(x97143)),f317(f317(f141(x97143),x97141),x97145)),f317(f317(f141(x97143),x97142),x97146))),f147(x97143,x97144)))+P1(f317(f317(f319(f903(x97143,x97143)),f317(f317(f242(x97143,x97143),x97141),x97142)),x97144))
% 92.29/92.10 [9750]P1(f317(f317(f319(f903(f898(x97501),f898(x97501))),f317(f317(f242(f898(x97501),f898(x97501)),f317(f317(f141(x97501),x97502),x97503)),f317(f317(f141(x97501),x97504),x97505))),f148(x97501,x97506)))+~P1(f317(f317(f319(f903(f898(x97501),f898(x97501))),f317(f317(f242(f898(x97501),f898(x97501)),x97503),x97505)),f148(x97501,x97506)))+~P1(f317(f317(f319(f903(x97501,x97501)),f317(f317(f242(x97501,x97501),x97502),x97504)),x97506))
% 92.29/92.10 [9767]P1(f317(x97671,x97672))+~P1(f317(x97671,f361(x97671,x97673,x97674,x97675,x97676)))+~P1(f317(f317(f319(x97676),x97672),f317(f317(f35(x97675,f904(x97676,a893)),x97674),x97673)))
% 92.29/92.10 [9772]~P1(f317(f317(f319(f903(f898(x97721),f898(x97721))),f317(f317(f242(f898(x97721),f898(x97721)),f317(f317(f141(x97721),x97722),x97725)),f317(f317(f141(x97721),x97723),x97726))),f135(x97721,x97724)))+P1(f317(f317(f319(f903(f898(x97721),f898(x97721))),f317(f317(f242(f898(x97721),f898(x97721)),x97725),x97726)),f135(x97721,x97724)))+P1(f317(f317(f319(f903(x97721,x97721)),f317(f317(f242(x97721,x97721),x97722),x97723)),x97724))
% 92.29/92.10 [9773]~P1(f317(f317(f319(f903(f898(x97731),f898(x97731))),f317(f317(f242(f898(x97731),f898(x97731)),f317(f317(f141(x97731),x97732),x97735)),f317(f317(f141(x97731),x97733),x97736))),f137(x97731,x97734)))+P1(f317(f317(f319(f903(f898(x97731),f898(x97731))),f317(f317(f242(f898(x97731),f898(x97731)),x97735),x97736)),f137(x97731,x97734)))+P1(f317(f317(f319(f903(x97731,x97731)),f317(f317(f242(x97731,x97731),x97732),x97733)),x97734))
% 92.29/92.10 [9774]~P1(f317(f317(f319(f903(f898(x97741),f898(x97741))),f317(f317(f242(f898(x97741),f898(x97741)),f317(f317(f141(x97741),x97742),x97745)),f317(f317(f141(x97741),x97743),x97746))),f147(x97741,x97744)))+P1(f317(f317(f319(f903(f898(x97741),f898(x97741))),f317(f317(f242(f898(x97741),f898(x97741)),x97745),x97746)),f147(x97741,x97744)))+P1(f317(f317(f319(f903(x97741,x97741)),f317(f317(f242(x97741,x97741),x97742),x97743)),x97744))
% 92.29/92.10 [9862]P1(f317(x98621,x98622))+P1(f317(f317(f319(x98623),f362(x98621,x98624,x98625,x98623,x98626)),x98625))+~P1(f317(f317(f319(x98626),x98622),f317(f317(f35(x98623,f904(x98626,a893)),x98625),x98624)))
% 92.29/92.10 [9873]~E(x98732,x98734)+P1(f317(f317(f319(f903(f898(x98731),f898(x98731))),f317(f317(f242(f898(x98731),f898(x98731)),f317(f317(f124(x98731),x98732),f317(f317(f141(x98731),x98733),f103(x98731)))),f317(f317(f124(x98731),x98734),f317(f317(f141(x98731),x98735),f103(x98731))))),f147(x98731,x98736)))+~P1(f317(f317(f319(f903(x98731,x98731)),f317(f317(f242(x98731,x98731),x98733),x98735)),x98736))
% 92.29/92.10 [9947]E(x99471,x99472)+~P1(f317(f317(f319(f903(f898(x99473),f898(x99473))),f317(f317(f242(f898(x99473),f898(x99473)),f317(f317(f124(x99473),x99475),f317(f317(f141(x99473),x99471),f103(x99473)))),f317(f317(f124(x99473),x99476),f317(f317(f141(x99473),x99472),f103(x99473))))),f147(x99473,x99474)))+P1(f317(f317(f319(f903(x99473,x99473)),f317(f317(f242(x99473,x99473),x99471),x99472)),x99474))
% 92.29/92.10 [9978]~P1(f317(f317(f319(f903(f898(x99781),f898(x99781))),f317(f317(f242(f898(x99781),f898(x99781)),f317(f317(f124(x99781),x99785),f317(f317(f141(x99781),x99782),f103(x99781)))),f317(f317(f124(x99781),x99786),f317(f317(f141(x99781),x99783),f103(x99781))))),f147(x99781,x99784)))+P1(f317(f317(f319(f903(f898(x99781),f898(x99781))),f317(f317(f242(f898(x99781),f898(x99781)),x99785),x99786)),f147(x99781,x99784)))+P1(f317(f317(f319(f903(x99781,x99781)),f317(f317(f242(x99781,x99781),x99782),x99783)),x99784))
% 92.29/92.10 [9998]P1(f317(x99981,x99982))+P1(f317(f317(f319(x99983),f361(x99981,x99984,x99985,x99986,x99983)),f317(x99984,f362(x99981,x99984,x99985,x99986,x99983))))+~P1(f317(f317(f319(x99983),x99982),f317(f317(f35(x99986,f904(x99983,a893)),x99985),x99984)))
% 92.29/92.10 [10149]P1(f317(f317(f319(x101491),f814(x101492,x101493,x101494,x101495,x101496,x101491)),x101495))+~P1(f317(f317(f224(f904(x101491,a893)),x101496),x101495))+P1(f317(f317(f224(f904(x101494,a893)),f317(f317(f36(x101491,f904(x101494,a893)),x101495),x101493)),f317(f317(f36(x101491,f904(x101494,a893)),x101495),x101492)))
% 92.29/92.10 [10276]~P1(f317(f317(f224(f904(x102761,a893)),f317(x102764,f814(x102765,x102764,x102761,x102763,x102766,x102762))),f317(x102765,f814(x102765,x102764,x102761,x102763,x102766,x102762))))+~P1(f317(f317(f224(f904(x102762,a893)),x102766),x102763))+P1(f317(f317(f224(f904(x102761,a893)),f317(f317(f36(x102762,f904(x102761,a893)),x102763),x102764)),f317(f317(f36(x102762,f904(x102761,a893)),x102763),x102765)))
% 92.29/92.10 [8989]~P16(x89893,x89894,x89891)+~P1(f317(f29(x89893),x89896))+E(f317(f317(x89891,x89892),f317(f317(f59(x89893,x89894,x89891),x89895),f317(f317(f23(f904(x89893,a893)),x89896),f317(f317(f299(x89893),x89892),f178(f904(x89893,a893)))))),f317(f317(f59(x89893,x89894,x89891),x89895),f317(f317(f299(x89893),x89892),x89896)))
% 92.29/92.10 [9284]~P1(f317(f317(f319(x92845),x92843),x92846))+P1(f317(f317(f224(f904(x92841,a893)),f317(x92842,x92843)),x92844))+~P1(f317(f317(f224(f904(x92841,a893)),f317(f317(f35(x92845,f904(x92841,a893)),x92846),x92842)),x92844))
% 92.29/92.10 [9922]~P8(x99221,x99225,x99224)+P1(f317(f317(f319(f903(x99221,x99221)),f317(f317(f242(x99221,x99221),x99222),x99223)),x99224))+~P1(f317(f317(f319(x99221),x99226),f317(f317(f92(f904(x99221,a893)),f317(f275(x99221,x99221,x99224),f317(f317(f299(x99221),x99222),f178(f904(x99221,a893))))),f317(f275(x99221,x99221,x99224),f317(f317(f299(x99221),x99223),f178(f904(x99221,a893)))))))
% 92.29/92.10 [8711]~P139(x87112)+~E(f317(f317(f74(x87112),f317(f317(f75(x87112),x87114),x87115)),x87111),f317(f317(f74(x87112),f317(f317(f75(x87112),x87113),x87115)),x87116))+E(x87111,f317(f317(f74(x87112),f317(f317(f75(x87112),f317(f317(f23(x87112),x87113),x87114)),x87115)),x87116))
% 92.29/92.10 [8712]~P139(x87121)+~E(f317(f317(f74(x87121),f317(f317(f75(x87121),x87122),x87124)),x87125),f317(f317(f74(x87121),f317(f317(f75(x87121),x87123),x87124)),x87126))+E(f317(f317(f74(x87121),f317(f317(f75(x87121),f317(f317(f23(x87121),x87122),x87123)),x87124)),x87125),x87126)
% 92.29/92.10 [8894]~P139(x88941)+E(f317(f317(f74(x88941),f317(f317(f75(x88941),x88942),x88943)),x88944),f317(f317(f74(x88941),f317(f317(f75(x88941),x88945),x88943)),x88946))+~E(x88946,f317(f317(f74(x88941),f317(f317(f75(x88941),f317(f317(f23(x88941),x88942),x88945)),x88943)),x88944))
% 92.29/92.10 [8895]~P139(x88951)+E(f317(f317(f74(x88951),f317(f317(f75(x88951),x88952),x88953)),x88954),f317(f317(f74(x88951),f317(f317(f75(x88951),x88955),x88953)),x88956))+~E(f317(f317(f74(x88951),f317(f317(f75(x88951),f317(f317(f23(x88951),x88952),x88955)),x88953)),x88954),x88956)
% 92.29/92.10 [9221]~P1(f317(f317(x92214,x92215),x92216))+~P1(f317(f317(x92213,x92215),x92216))+P1(f317(f317(f317(f317(f92(f904(x92211,f904(x92212,a893))),x92213),x92214),x92215),x92216))
% 92.29/92.10 [9486]P1(f317(f317(x94861,x94862),x94863))+P1(f317(f317(x94864,x94862),x94863))+~P1(f317(f317(f317(f317(f91(f904(x94865,f904(x94866,a893))),x94864),x94861),x94862),x94863))
% 92.29/92.10 [9787]~P134(x97871)+~P1(f317(f317(f224(x97871),f317(f317(f74(x97871),f317(f317(f75(x97871),x97874),x97875)),x97872)),f317(f317(f74(x97871),f317(f317(f75(x97871),x97873),x97875)),x97876)))+P1(f317(f317(f224(x97871),x97872),f317(f317(f74(x97871),f317(f317(f75(x97871),f317(f317(f23(x97871),x97873),x97874)),x97875)),x97876)))
% 92.29/92.10 [9788]~P134(x97881)+~P1(f317(f317(f225(x97881),f317(f317(f74(x97881),f317(f317(f75(x97881),x97884),x97885)),x97882)),f317(f317(f74(x97881),f317(f317(f75(x97881),x97883),x97885)),x97886)))+P1(f317(f317(f225(x97881),x97882),f317(f317(f74(x97881),f317(f317(f75(x97881),f317(f317(f23(x97881),x97883),x97884)),x97885)),x97886)))
% 92.29/92.10 [9811]~P134(x98111)+P1(f317(f317(f224(x98111),f317(f317(f74(x98111),f317(f317(f75(x98111),x98112),x98113)),x98114)),f317(f317(f74(x98111),f317(f317(f75(x98111),x98115),x98113)),x98116)))+~P1(f317(f317(f224(x98111),x98114),f317(f317(f74(x98111),f317(f317(f75(x98111),f317(f317(f23(x98111),x98115),x98112)),x98113)),x98116)))
% 92.29/92.10 [9812]~P134(x98121)+P1(f317(f317(f225(x98121),f317(f317(f74(x98121),f317(f317(f75(x98121),x98122),x98123)),x98124)),f317(f317(f74(x98121),f317(f317(f75(x98121),x98125),x98123)),x98126)))+~P1(f317(f317(f225(x98121),x98124),f317(f317(f74(x98121),f317(f317(f75(x98121),f317(f317(f23(x98121),x98125),x98122)),x98123)),x98126)))
% 92.29/92.10 [9914]~P134(x99141)+~P1(f317(f317(f224(x99141),f317(f317(f74(x99141),f317(f317(f75(x99141),x99142),x99144)),x99145)),f317(f317(f74(x99141),f317(f317(f75(x99141),x99143),x99144)),x99146)))+P1(f317(f317(f224(x99141),f317(f317(f74(x99141),f317(f317(f75(x99141),f317(f317(f23(x99141),x99142),x99143)),x99144)),x99145)),x99146))
% 92.29/92.10 [9915]~P134(x99151)+~P1(f317(f317(f225(x99151),f317(f317(f74(x99151),f317(f317(f75(x99151),x99152),x99154)),x99155)),f317(f317(f74(x99151),f317(f317(f75(x99151),x99153),x99154)),x99156)))+P1(f317(f317(f225(x99151),f317(f317(f74(x99151),f317(f317(f75(x99151),f317(f317(f23(x99151),x99152),x99153)),x99154)),x99155)),x99156))
% 92.29/92.10 [9961]~P134(x99611)+P1(f317(f317(f224(x99611),f317(f317(f74(x99611),f317(f317(f75(x99611),x99612),x99613)),x99614)),f317(f317(f74(x99611),f317(f317(f75(x99611),x99615),x99613)),x99616)))+~P1(f317(f317(f224(x99611),f317(f317(f74(x99611),f317(f317(f75(x99611),f317(f317(f23(x99611),x99612),x99615)),x99613)),x99614)),x99616))
% 92.29/92.10 [9962]~P134(x99621)+P1(f317(f317(f225(x99621),f317(f317(f74(x99621),f317(f317(f75(x99621),x99622),x99623)),x99624)),f317(f317(f74(x99621),f317(f317(f75(x99621),x99625),x99623)),x99626)))+~P1(f317(f317(f225(x99621),f317(f317(f74(x99621),f317(f317(f75(x99621),f317(f317(f23(x99621),x99622),x99625)),x99623)),x99624)),x99626))
% 92.29/92.10 [10134]~P77(x101342)+~P1(f317(f29(x101341),x101346))+E(f317(f317(f6(x101341,x101342),f317(f317(f18(x101341,x101342,x101342),f317(f317(f18(x101341,x101342,f904(x101342,x101342)),f317(f317(f8(a893,f904(x101342,f904(x101342,x101342)),x101341),f86(x101342)),x101343)),x101344)),x101345)),x101346),f317(f317(f74(x101342),f317(f317(f6(x101341,x101342),x101344),f317(f317(f92(f904(x101341,a893)),x101346),f317(f252(x101341),x101343)))),f317(f317(f6(x101341,x101342),x101345),f317(f317(f92(f904(x101341,a893)),x101346),f317(f73(f904(x101341,a893)),f317(f252(x101341),x101343))))))
% 92.29/92.10 [10195]P1(f317(f317(f319(x101952),x101954),x101956))+P1(f317(f317(f319(x101952),x101955),x101956))+E(f317(f301(x101951,x101952,f317(f317(f7(x101951,x101952,x101952),f317(f317(f7(x101951,x101952,f904(x101952,x101952)),f317(f317(f8(a893,f904(x101952,f904(x101952,x101952)),x101951),f86(x101952)),f317(f317(f7(x101951,f904(x101951,a893),a893),f319(x101951)),x101953))),x101954)),x101955)),x101956),f178(f904(x101951,a893)))
% 92.29/92.10 [10196]P1(f317(f317(f319(x101962),x101965),x101966))+~P1(f317(f317(f319(x101962),x101964),x101966))+E(f317(f301(x101961,x101962,f317(f317(f7(x101961,x101962,x101962),f317(f317(f7(x101961,x101962,f904(x101962,x101962)),f317(f317(f8(a893,f904(x101962,f904(x101962,x101962)),x101961),f86(x101962)),f317(f317(f7(x101961,f904(x101961,a893),a893),f319(x101961)),x101963))),x101964)),x101965)),x101966),x101963)
% 92.29/92.10 [10197]P1(f317(f317(f319(x101972),x101974),x101976))+~P1(f317(f317(f319(x101972),x101975),x101976))+E(f317(f301(x101971,x101972,f317(f317(f7(x101971,x101972,x101972),f317(f317(f7(x101971,x101972,f904(x101972,x101972)),f317(f317(f8(a893,f904(x101972,f904(x101972,x101972)),x101971),f86(x101972)),f317(f317(f7(x101971,f904(x101971,a893),a893),f319(x101971)),x101973))),x101974)),x101975)),x101976),f317(f73(f904(x101971,a893)),x101973))
% 92.29/92.10 [10198]~P1(f317(f317(f319(x101982),x101984),x101986))+~P1(f317(f317(f319(x101982),x101985),x101986))+E(f317(f301(x101981,x101982,f317(f317(f7(x101981,x101982,x101982),f317(f317(f7(x101981,x101982,f904(x101982,x101982)),f317(f317(f8(a893,f904(x101982,f904(x101982,x101982)),x101981),f86(x101982)),f317(f317(f7(x101981,f904(x101981,a893),a893),f319(x101981)),x101983))),x101984)),x101985)),x101986),f232(f904(x101981,a893)))
% 92.29/92.10 [8744]E(x87441,x87442)+~P56(x87444,x87445,x87443,x87446,x87447)+~E(f317(x87443,x87441),f317(x87443,x87442))
% 92.29/92.10 [8772]~P10(x87726,x87725,x87727,x87724,x87721)+E(f317(f317(x87721,x87722),x87723),x87724)+P1(f317(f29(x87725),x87723))
% 92.29/92.10 [8773]~P10(x87736,x87735,x87737,x87734,x87731)+E(f317(f317(x87731,x87732),x87733),x87734)+P1(f317(f29(x87735),x87733))
% 92.29/92.10 [9654]P41(x96541,x96542,x96543,x96544,x96545,f317(f317(x96543,x96546),x96547))+~E(f317(f317(x96543,x96546),x96547),x96544)+~E(x96545,f178(f904(x96541,a893)))
% 92.29/92.10 [9833]~P1(f317(x98336,x98333))+~P1(f317(f317(f319(f903(x98332,x98332)),f317(f317(f242(x98332,x98332),x98334),x98335)),f317(x98337,x98333)))+P1(f317(f317(f319(f903(f903(x98331,x98332),f903(x98331,x98332))),f317(f317(f242(f903(x98331,x98332),f903(x98331,x98332)),f317(f317(f242(x98331,x98332),x98333),x98334)),f317(f317(f242(x98331,x98332),x98333),x98335))),f270(x98331,x98332,x98336,x98337)))
% 92.29/92.10 [10260]~P41(x102602,x102607,x102603,x102606,x102601,f317(f317(x102603,x102605),x102604))+E(f317(f317(x102603,f448(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f460(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f317(f317(x102603,x102605),x102604))+E(x102601,f178(f904(x102602,a893)))
% 92.29/92.10 [10261]~P41(x102617,x102616,x102611,x102614,x102615,f317(f317(x102611,x102612),x102613))+E(f317(f317(x102611,f448(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f460(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f317(f317(x102611,x102612),x102613))+E(f317(f317(x102611,x102612),x102613),x102614)
% 92.29/92.10 [9318]~P33(x93181,x93182,x93183,x93185,x93187)+P33(x93181,x93182,x93183,f317(f317(f141(x93181),x93184),x93185),f317(f317(f141(x93182),x93186),x93187))+~P1(f317(f317(x93183,x93184),x93186))
% 92.29/92.10 [9337]P33(x93371,x93372,x93373,x93374,x93375)+~P33(x93371,x93372,x93373,f317(f317(f124(x93371),x93376),x93374),f317(f317(f124(x93372),x93377),x93375))+~E(f317(f179(f898(x93371)),x93376),f317(f179(f898(x93372)),x93377))
% 92.29/92.10 [9338]P33(x93381,x93382,x93383,x93384,x93385)+~P33(x93381,x93382,x93383,f317(f317(f124(x93381),x93384),x93386),f317(f317(f124(x93382),x93385),x93387))+~E(f317(f179(f898(x93381)),x93384),f317(f179(f898(x93382)),x93385))
% 92.29/92.10 [9553]~P33(x95531,x95532,x95533,x95535,x95537)+~P33(x95531,x95532,x95533,x95534,x95536)+P33(x95531,x95532,x95533,f317(f317(f124(x95531),x95534),x95535),f317(f317(f124(x95532),x95536),x95537))
% 92.29/92.10 [9907]~P1(f317(f61(x99071,x99074,x99075,x99076,x99073),x99077))+P1(f317(f61(x99071,x99074,x99075,x99076,f317(f317(f299(x99071),x99072),x99073)),f317(f317(x99075,x99072),x99077)))+P1(f317(f317(f319(x99071),x99072),x99073))
% 92.29/92.10 [10292]~P41(x102922,x102927,x102926,x102925,x102921,f317(f317(x102926,x102924),x102923))+E(x102921,f178(f904(x102922,a893)))+P1(f317(f317(f319(x102922),f448(x102923,x102924,x102921,x102925,x102926,x102927,x102922)),x102921))
% 92.29/92.10 [10293]~P41(x102935,x102937,x102931,x102934,x102936,f317(f317(x102931,x102932),x102933))+E(f317(f317(x102931,x102932),x102933),x102934)+P1(f317(f317(f319(x102935),f448(x102933,x102932,x102936,x102934,x102931,x102937,x102935)),x102936))
% 92.29/92.10 [10380]E(f317(f317(f242(x103801,x103802),x103803),x103804),f317(f317(f242(x103801,x103802),x103805),x103806))+P1(f317(f317(f319(f903(f903(x103801,x103802),f903(x103801,x103802))),f317(f317(f242(f903(x103801,x103802),f903(x103801,x103802)),f317(f317(f242(x103801,x103802),f816(x103807,x103804,x103803,x103806,x103805,x103802,x103801)),f817(x103807,x103804,x103803,x103806,x103805,x103802,x103801))),f317(f317(f242(x103801,x103802),x103803),x103804))),f297(f903(x103801,x103802),x103807)))+~P1(f317(f317(f319(f903(f903(x103801,x103802),f903(x103801,x103802))),f317(f317(f242(f903(x103801,x103802),f903(x103801,x103802)),f317(f317(f242(x103801,x103802),x103805),x103806)),f317(f317(f242(x103801,x103802),x103803),x103804))),f297(f903(x103801,x103802),x103807)))
% 92.29/92.10 [9014]~P21(x90144,x90145,x90146,x90147,x90141)+~P1(f317(f29(x90145),x90143))+E(f317(f317(x90141,x90142),x90143),f317(f317(f317(f60(x90144,x90145,x90146),x90142),x90147),x90143))
% 92.29/92.10 [9015]~P10(x90154,x90155,x90156,x90157,x90151)+~P1(f317(f29(x90155),x90153))+E(f317(f317(x90151,x90152),x90153),f317(f317(f317(f60(x90154,x90155,x90156),x90152),x90157),x90153))
% 92.29/92.10 [9806]~P23(x98063,x98064,x98065,x98067,x98066,x98061)+~P1(f317(f29(x98064),x98062))+E(f317(x98061,x98062),f317(f317(f317(f60(x98063,x98064,x98065),x98066),x98067),x98062))
% 92.29/92.10 [9956]P41(x99561,x99562,x99563,x99564,x99565,f317(f317(x99563,x99566),x99567))+~P41(x99561,x99562,x99563,x99564,f317(f317(f23(f904(x99561,a893)),x99565),f317(f317(f299(x99561),x99566),f178(f904(x99561,a893)))),x99567)+~P1(f317(f317(f319(x99561),x99566),x99565))
% 92.29/92.10 [10316]P1(f317(f317(x103167,f766(x103164,x103165,x103161,x103166,x103163,x103162,x103167)),f767(x103164,x103165,x103161,x103166,x103163,x103162,x103167)))+~P1(f317(f317(x103167,f317(f246(x103162,x103163),x103166)),f317(f241(x103162,x103163),x103166)))+P1(f317(x103161,f317(f317(f247(x103162,x103163,x103164),x103165),x103166)))
% 92.29/92.10 [10326]~P41(x103262,x103263,x103264,x103265,x103261,f317(f317(x103264,x103267),x103266))+P41(x103262,x103263,x103264,x103265,f317(f317(f23(f904(x103262,a893)),x103261),f317(f317(f299(x103262),f448(x103266,x103267,x103261,x103265,x103264,x103263,x103262)),f178(f904(x103262,a893)))),f460(x103266,x103267,x103261,x103265,x103264,x103263,x103262))+E(x103261,f178(f904(x103262,a893)))
% 92.29/92.10 [10327]~P41(x103275,x103276,x103271,x103274,x103277,f317(f317(x103271,x103272),x103273))+P41(x103275,x103276,x103271,x103274,f317(f317(f23(f904(x103275,a893)),x103277),f317(f317(f299(x103275),f448(x103273,x103272,x103277,x103274,x103271,x103276,x103275)),f178(f904(x103275,a893)))),f460(x103273,x103272,x103277,x103274,x103271,x103276,x103275))+E(f317(f317(x103271,x103272),x103273),x103274)
% 92.29/92.10 [10347]~P1(f317(x103471,f317(f317(x103475,f767(x103474,x103475,x103471,x103476,x103473,x103472,x103477)),f766(x103474,x103475,x103471,x103476,x103473,x103472,x103477))))+~P1(f317(f317(x103477,f317(f246(x103472,x103473),x103476)),f317(f241(x103472,x103473),x103476)))+P1(f317(x103471,f317(f317(f247(x103472,x103473,x103474),x103475),x103476)))
% 92.29/92.10 [9639]P1(f317(f317(f224(f904(f903(x96391,x96392),a893)),f317(f317(f279(x96391,x96393,x96392),x96394),x96395)),f317(f317(f279(x96391,x96393,x96392),x96396),x96397)))+~P1(f317(f317(f224(f904(f903(x96393,x96392),a893)),x96395),x96397))+~P1(f317(f317(f224(f904(f903(x96391,x96393),a893)),x96394),x96396))
% 92.29/92.10 [10374]E(f317(f317(f242(x103741,x103742),x103743),x103744),f317(f317(f242(x103741,x103742),x103745),x103746))+~P1(f317(f317(f319(f903(f903(x103741,x103742),f903(x103741,x103742))),f317(f317(f242(f903(x103741,x103742),f903(x103741,x103742)),f317(f317(f242(x103741,x103742),x103743),x103744)),f317(f317(f242(x103741,x103742),x103745),x103746))),f297(f903(x103741,x103742),x103747)))+P1(f317(f317(f319(f903(f903(x103741,x103742),f903(x103741,x103742))),f317(f317(f242(f903(x103741,x103742),f903(x103741,x103742)),f317(f317(f242(x103741,x103742),x103743),x103744)),f317(f317(f242(x103741,x103742),f816(x103747,x103746,x103745,x103744,x103743,x103742,x103741)),f817(x103747,x103746,x103745,x103744,x103743,x103742,x103741)))),x103747))
% 92.29/92.10 [9967]~P1(f317(f317(f319(x99671),x99676),x99675))+P1(f317(f61(x99671,x99672,x99673,x99674,x99675),f317(f317(x99673,x99676),x99677)))+~P1(f317(f61(x99671,x99672,x99673,x99674,f317(f317(f23(f904(x99671,a893)),x99675),f317(f317(f299(x99671),x99676),f178(f904(x99671,a893))))),x99677))
% 92.29/92.10 [10387]~P145(x103871)+~P24(f903(x103872,x103873),x103871,f317(f247(x103872,x103873,x103871),f317(f317(f7(x103872,f904(x103873,x103871),f904(x103873,x103871)),f317(f317(f8(f904(x103871,x103871),f904(f904(x103873,x103871),f904(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f317(f317(f8(x103871,f904(x103871,x103871),x103872),f75(x103871)),x103874))),x103875)),f317(f317(f244(x103872,x103873),x103876),f317(f16(f904(x103873,a893),x103872),x103877)))+E(f317(f317(f6(x103871,x103871),f25(x103871)),f317(f252(x103871),f317(f317(f8(f904(x103872,a893),a893,x103871),f81(x103872)),f317(f317(f8(f904(x103872,f904(x103873,a893)),f904(x103872,a893),x103871),f317(f8(f904(x103873,a893),a893,x103872),f81(x103873))),f317(f317(f7(x103871,f904(x103872,f904(x103873,a893)),f904(x103872,f904(x103873,a893))),f317(f317(f8(f904(x103872,f904(f904(x103873,a893),f904(x103873,a893))),f904(f904(x103872,f904(x103873,a893)),f904(x103872,f904(x103873,a893))),x103871),f18(x103872,f904(x103873,a893),f904(x103873,a893))),f317(f317(f8(f904(x103872,f904(x103873,f904(a893,a893))),f904(x103872,f904(f904(x103873,a893),f904(x103873,a893))),x103871),f317(f8(f904(x103873,f904(a893,a893)),f904(f904(x103873,a893),f904(x103873,a893)),x103872),f18(x103873,a893,a893))),f317(f317(f8(f904(x103872,f904(x103873,a893)),f904(x103872,f904(x103873,f904(a893,a893))),x103871),f317(f8(f904(x103873,a893),f904(x103873,f904(a893,a893)),x103872),f317(f8(a893,f904(a893,a893),x103873),a315))),f317(f317(f7(x103871,f904(x103872,f904(x103873,x103871)),f904(x103872,f904(x103873,a893))),f317(f317(f8(f904(f904(x103873,x103871),f904(x103873,a893)),f904(f904(x103872,f904(x103873,x103871)),f904(x103872,f904(x103873,a893))),x103871),f8(f904(x103873,x103871),f904(x103873,a893),x103872)),f317(f317(f8(f904(x103871,a893),f904(f904(x103873,x103871),f904(x103873,a893)),x103871),f8(x103871,a893,x103873)),a314))),f317(f317(f7(x103872,f904(x103873,x103871),f904(x103873,x103871)),f317(f317(f8(f904(x103871,x103871),f904(f904(x103873,x103871),f904(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f317(f317(f8(x103871,f904(x103871,x103871),x103872),f75(x103871)),x103874))),x103875)))))),f317(f317(f7(x103872,f904(x103873,a893),f904(x103873,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x103873,a893),f904(x103873,a893)),x103872),f8(a893,a893,x103873)),f317(f317(f8(a893,f904(a893,a893),x103872),a315),f317(f317(f7(x103872,f904(x103872,a893),a893),f319(x103872)),x103876)))),f317(f317(f7(x103873,f904(x103873,a893),a893),f319(x103873)),x103877))))))),f317(f317(f75(x103871),f317(f317(f6(x103872,x103871),x103874),x103876)),f317(f317(f6(x103873,x103871),x103875),x103877)))
% 92.29/92.10 [9642]~P25(x96423,x96422,x96424,x96428,x96427)+~P25(x96421,x96423,x96425,x96426,x96428)+P25(x96421,x96422,f317(f67(x96423,x96422,x96421,x96424),x96425),x96426,x96427)
% 92.29/92.10 [9643]~P25(x96431,x96433,x96435,x96436,x96438)+~P25(x96433,x96432,x96434,x96438,x96437)+P25(x96431,x96432,f317(f67(x96433,x96432,x96431,x96434),x96435),x96436,x96437)
% 92.29/92.10 [9672]P25(x96721,x96722,x96723,x96724,x96725)+~P25(x96726,x96721,x96727,x96728,x96724)+~P25(x96726,x96722,f317(f67(x96721,x96722,x96726,x96723),x96727),x96728,x96725)
% 92.29/92.10 [9803]~P1(f317(f317(x98034,x98036),x98038))+~P1(f317(f317(x98035,x98038),x98037))+P1(f317(f317(f243(x98031,x98032,x98033,x98034,x98035),x98036),x98037))
% 92.29/92.10 [9804]~P1(f317(f317(x98044,x98046),x98048))+~P1(f317(f317(x98045,x98048),x98047))+P1(f317(f317(f243(x98041,x98042,x98043,x98044,x98045),x98046),x98047))
% 92.29/92.10 [9393]~P19(x93938,x93931,x93933,x93935)+~P1(f317(f29(x93938),x93936))+E(f317(f67(x93931,x93931,x93932,f317(x93933,x93934)),f317(f67(x93931,x93931,x93932,f317(x93935,x93936)),x93937)),f317(f67(x93931,x93931,x93932,f317(x93935,x93936)),f317(f67(x93931,x93931,x93932,f317(x93933,x93934)),x93937)))
% 92.29/92.10 [9794]~P22(x97947,x97942,x97945,x97948,x97946,x97941)+~P1(f317(f29(x97942),x97944))+E(f317(x97941,f317(f317(f299(x97942),x97943),x97944)),f317(f317(x97945,f317(x97946,x97943)),f317(x97941,x97944)))
% 92.29/92.10 [9912]~P24(x99122,x99124,x99126,x99128)+~P24(x99121,x99123,x99125,x99127)+P24(f903(x99121,x99122),f903(x99123,x99124),f248(x99121,x99123,x99122,x99124,x99125,x99126),f317(f317(f244(x99121,x99122),x99127),f317(f16(f904(x99122,a893),x99121),x99128)))
% 92.29/92.10 [9579]P1(f317(f317(f319(f903(x95791,x95792)),f317(f317(f242(x95791,x95792),x95793),x95794)),f317(f317(f279(x95791,x95795,x95792),x95796),x95797)))+~P1(f317(f317(f319(f903(x95791,x95795)),f317(f317(f242(x95791,x95795),x95793),x95798)),x95796))+~P1(f317(f317(f319(f903(x95795,x95792)),f317(f317(f242(x95795,x95792),x95798),x95794)),x95797))
% 92.29/92.10 [9775]~P1(f317(f317(f224(f904(f903(x97753,x97752),a893)),x97755),f317(f317(f244(x97753,x97752),x97758),f317(f16(f904(x97752,a893),x97753),x97757))))+~P1(f317(f317(f224(f904(f903(x97751,x97753),a893)),x97754),f317(f317(f244(x97751,x97753),x97756),f317(f16(f904(x97753,a893),x97751),x97758))))+P1(f317(f317(f224(f904(f903(x97751,x97752),a893)),f317(f317(f279(x97751,x97753,x97752),x97754),x97755)),f317(f317(f244(x97751,x97752),x97756),f317(f16(f904(x97752,a893),x97751),x97757))))
% 92.29/92.10 [9828]~E(x98283,x98285)+P1(f317(f317(f319(f903(f903(x98281,x98282),f903(x98281,x98282))),f317(f317(f242(f903(x98281,x98282),f903(x98281,x98282)),f317(f317(f242(x98281,x98282),x98283),x98284)),f317(f317(f242(x98281,x98282),x98285),x98286))),f310(x98281,x98282,x98287,x98288)))+~P1(f317(f317(f319(f903(x98282,x98282)),f317(f317(f242(x98282,x98282),x98284),x98286)),x98288))
% 92.29/92.10 [9931]E(x99311,x99312)+~P1(f317(f317(f319(f903(f903(x99313,x99315),f903(x99313,x99315))),f317(f317(f242(f903(x99313,x99315),f903(x99313,x99315)),f317(f317(f242(x99313,x99315),x99311),x99316)),f317(f317(f242(x99313,x99315),x99312),x99317))),f310(x99313,x99315,x99314,x99318)))+P1(f317(f317(f319(f903(x99313,x99313)),f317(f317(f242(x99313,x99313),x99311),x99312)),x99314))
% 92.29/92.10 [9946]~P1(f317(f317(f319(f903(f903(x99461,x99465),f903(x99461,x99465))),f317(f317(f242(f903(x99461,x99465),f903(x99461,x99465)),f317(f317(f242(x99461,x99465),x99462),x99466)),f317(f317(f242(x99461,x99465),x99463),x99467))),f310(x99461,x99465,x99464,x99468)))+P1(f317(f317(f319(f903(x99461,x99461)),f317(f317(f242(x99461,x99461),x99462),x99463)),x99464))+P1(f317(f317(f319(f903(x99465,x99465)),f317(f317(f242(x99465,x99465),x99466),x99467)),x99468))
% 92.29/92.10 [9863]~P23(x98637,x98635,x98631,x98638,x98632,x98634)+~P1(f317(f29(x98635),x98636))+E(f317(f317(x98631,f317(x98632,x98633)),f317(x98634,f317(f317(f23(f904(x98635,a893)),x98636),f317(f317(f299(x98635),x98633),f178(f904(x98635,a893)))))),f317(x98634,f317(f317(f299(x98635),x98633),x98636)))
% 92.29/92.10 [9343]~P1(f317(f317(f317(x93435,x93438),x93436),x93437))+~P1(f317(f317(f319(x93431),x93438),x93434))+P1(f317(f317(f317(f317(f35(x93431,f904(x93432,f904(x93433,a893))),x93434),x93435),x93436),x93437))
% 92.29/92.10 [9344]~P1(f317(f317(f317(x93445,x93448),x93446),x93447))+~P1(f317(f317(f319(x93441),x93448),x93444))+P1(f317(f317(f317(f317(f35(x93441,f904(x93442,f904(x93443,a893))),x93444),x93445),x93446),x93447))
% 92.29/92.10 [9562]P1(f317(f317(f317(x95621,x95622),x95623),x95624))+~P1(f317(f317(f319(x95625),x95622),x95626))+~P1(f317(f317(f317(f317(f36(x95625,f904(x95627,f904(x95628,a893))),x95626),x95621),x95623),x95624))
% 92.29/92.10 [9563]P1(f317(f317(f317(x95631,x95632),x95633),x95634))+~P1(f317(f317(f319(x95635),x95632),x95636))+~P1(f317(f317(f317(f317(f36(x95635,f904(x95637,f904(x95638,a893))),x95636),x95631),x95633),x95634))
% 92.29/92.10 [9564]P1(f317(f317(f317(x95641,x95642),x95643),x95644))+~P1(f317(f317(f319(x95645),x95642),x95646))+~P1(f317(f317(f317(f317(f36(x95645,f904(x95647,f904(x95648,a893))),x95646),x95641),x95643),x95644))
% 92.29/92.10 [9768]~P21(x97683,x97682,x97684,x97688,x97681)+~P1(f317(f29(x97682),x97687))+E(f317(f317(x97681,f317(f317(f18(x97682,x97683,x97683),f317(f317(f8(x97683,f904(x97683,x97683),x97682),x97684),x97685)),x97686)),x97687),f317(f317(x97684,f317(f317(x97681,x97685),x97687)),f317(f317(x97681,x97686),x97687)))
% 92.29/92.10 [10032]~E(f317(f300(x100322,x100324,x100326),x100328),x1003210)+~E(f317(f300(x100321,x100323,x100325),x100327),x100329)+E(f317(f300(f903(x100321,x100322),f903(x100323,x100324),f248(x100321,x100323,x100322,x100324,x100325,x100326)),f317(f317(f244(x100321,x100322),x100327),f317(f16(f904(x100322,a893),x100321),x100328))),f317(f317(f244(x100323,x100324),x100329),f317(f16(f904(x100324,a893),x100323),x1003210)))
% 92.29/92.10 [4941]~P42(x49411,x49412)+~P49(x49411,x49412)+~P50(x49411,x49412)+P7(x49411,x49412)
% 92.29/92.10 [4942]~P42(x49421,x49422)+~P49(x49421,x49422)+~P50(x49421,x49422)+P7(x49421,x49422)
% 92.29/92.10 [4898]~P107(x48982)+~P13(x48982,x48981)+P13(x48982,f104(x48982,x48981))+E(x48981,f103(x48982))
% 92.29/92.10 [4899]~P107(x48992)+~P13(x48992,x48991)+P13(x48992,f685(x48991,x48992))+E(x48991,f103(x48992))
% 92.29/92.10 [5146]~P5(x51462)+E(f10(x51462,x51461),f33(x51462,x51461))+E(x51461,f178(f904(x51462,a893)))+~P1(f317(f29(x51462),x51461))
% 92.29/92.10 [5147]~P5(x51472)+E(f13(x51472,x51471),f32(x51472,x51471))+E(x51471,f178(f904(x51472,a893)))+~P1(f317(f29(x51472),x51471))
% 92.29/92.10 [5304]~P107(x53042)+~P13(x53042,x53041)+E(x53041,f103(x53042))+E(f317(f317(f141(x53042),f705(x53041,x53042)),f685(x53041,x53042)),x53041)
% 92.29/92.10 [6127]~P99(x61272)+E(x61271,f178(f904(x61272,a893)))+P1(f317(f317(f224(x61272),f10(x61272,x61271)),f13(x61272,x61271)))+~P1(f317(f29(x61272),x61271))
% 92.29/92.10 [6138]~P39(x61382)+~P39(x61381)+E(x61381,x61382)+~E(f317(f300(a1,a897,a95),x61381),f317(f300(a1,a897,a95),x61382))
% 92.29/92.10 [9200]~P126(x92001)+~P1(f317(f317(f319(x92001),x92002),f100(x92001)))+P1(f317(f317(f225(x92001),f317(f317(f74(x92001),f317(f317(f74(x92001),f72(x92001)),x92002)),x92002)),f2(x92001)))+~P1(f317(f317(f225(x92001),x92002),f2(x92001)))
% 92.29/92.10 [9446]~P126(x94461)+~P1(f317(f317(f319(x94461),x94462),f100(x94461)))+~P1(f317(f317(f225(x94461),f317(f317(f74(x94461),f317(f317(f74(x94461),f72(x94461)),x94462)),x94462)),f2(x94461)))+P1(f317(f317(f225(x94461),x94462),f2(x94461)))
% 92.29/92.10 [4957]~P114(x49572)+~P145(x49572)+E(x49571,f2(a897))+E(f317(f317(f234(x49572),f2(x49572)),x49571),f2(x49572))
% 92.29/92.10 [4960]~P114(x49601)+~P145(x49601)+~E(x49602,f2(a897))+E(f317(f317(f234(x49601),f2(x49601)),x49602),f72(x49601))
% 92.29/92.10 [5132]~P141(x51322)+E(x51321,f72(x51322))+E(x51321,f317(f73(x51322),f72(x51322)))+~E(f317(f317(f75(x51322),x51321),x51321),f72(x51322))
% 92.29/92.10 [5381]~P90(x53812)+E(x53811,f2(x53812))+E(f76(x53812,x53811),f317(f73(x53812),f72(x53812)))+P1(f317(f317(f225(x53812),f2(x53812)),x53811))
% 92.29/92.10 [5577]~E(x55772,f72(a1))+~E(x55771,f72(a1))+E(f317(f317(f75(a1),x55771),x55772),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x55771))
% 92.29/92.10 [5623]~P90(x56232)+E(f76(x56232,x56231),f72(x56232))+E(x56231,f2(x56232))+~P1(f317(f317(f225(x56232),f2(x56232)),x56231))
% 92.29/92.10 [5632]E(x56321,x56322)+~E(f317(f94(a897),x56321),f317(f94(a897),x56322))+P1(f317(a183,f317(f94(a1),x56322)))+P1(f317(a183,f317(f94(a1),x56321)))
% 92.29/92.10 [5683]~P92(x56831)+~E(x56832,f2(x56831))+E(f317(f317(f74(x56831),x56832),x56832),f2(x56831))+~P1(f317(f317(f319(x56831),x56832),f100(x56831)))
% 92.29/92.10 [5722]E(x57221,f2(a1))+~E(f317(f317(f31(a1),x57222),x57221),f2(a1))+P1(f317(f317(f225(a1),x57221),x57222))+P1(f317(f317(f225(a1),x57222),x57221))
% 92.29/92.10 [5752]E(x57521,f2(a1))+~E(f317(f317(f31(a1),x57522),x57521),f2(a1))+P1(f317(f317(f224(a1),x57522),f2(a1)))+P1(f317(f317(f225(a1),x57522),x57521))
% 92.29/92.10 [5786]E(x57861,f2(a1))+~E(f317(f317(f31(a1),x57862),x57861),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x57862))+P1(f317(f317(f225(a1),x57861),x57862))
% 92.29/92.10 [5819]E(x58191,f2(a1))+~E(f317(f317(f31(a1),x58192),x58191),f2(a1))+P1(f317(f317(f224(a1),x58192),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),x58192))
% 92.29/92.10 [5821]~P92(x58212)+E(x58211,f2(x58212))+~E(f317(f317(f74(x58212),x58211),x58211),f2(x58212))+~P1(f317(f317(f319(x58212),x58211),f100(x58212)))
% 92.29/92.10 [5892]E(f317(f94(a897),x58921),f317(f94(a897),x58922))+~E(f317(f94(a1),x58922),f2(a1))+P1(f317(a183,f317(f94(a1),x58922)))+~P1(f317(a183,f317(f94(a1),x58921)))
% 92.29/92.10 [5921]~E(f317(f94(a897),x59212),f317(f94(a897),x59211))+E(f317(f94(a1),x59211),f2(a1))+P1(f317(a183,f317(f94(a1),x59211)))+~P1(f317(a183,f317(f94(a1),x59212)))
% 92.29/92.10 [5931]~P107(x59312)+E(x59311,f178(f904(x59312,a893)))+~P1(f317(f29(x59312),x59311))+P1(f317(f317(f319(x59312),f14(x59312,x59311)),x59311))
% 92.29/92.10 [5932]~P107(x59322)+E(x59321,f178(f904(x59322,a893)))+~P1(f317(f29(x59322),x59321))+P1(f317(f317(f319(x59322),f15(x59322,x59321)),x59321))
% 92.29/92.10 [6104]~P126(x61041)+~P94(x61041)+P1(f317(f317(f224(x61041),f2(x61041)),f317(f94(x61041),x61042)))+~P1(f317(f317(f224(a1),a77),x61042))
% 92.29/92.10 [6105]~P126(x61051)+~P94(x61051)+P1(f317(f317(f225(x61051),f2(x61051)),f317(f94(x61051),x61052)))+~P1(f317(f317(f225(a1),a77),x61052))
% 92.29/92.10 [6126]~P126(x61261)+~P94(x61261)+E(f317(f70(x61261),f317(f94(x61261),x61262)),f317(f94(x61261),x61262))+P1(f317(f317(f225(x61261),f317(f94(x61261),x61262)),f2(x61261)))
% 92.29/92.10 [6161]E(x61611,x61612)+~E(f317(a95,x61611),f317(a95,x61612))+~P1(f317(f317(f224(a1),f2(a1)),x61612))+~P1(f317(f317(f224(a1),f2(a1)),x61611))
% 92.29/92.10 [6162]E(x61621,x61622)+~E(f317(a95,x61621),f317(a95,x61622))+~P1(f317(f317(f224(a1),f2(a1)),x61622))+~P1(f317(f317(f224(a1),f2(a1)),x61621))
% 92.29/92.10 [6192]~E(x61921,f2(a1))+E(f42(x61921,x61922),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),x61922))+~P1(f317(f317(f224(a1),f2(a1)),x61921))
% 92.29/92.10 [6364]~P94(x63642)+~P126(x63642)+~P1(f317(f317(f224(x63642),f2(x63642)),f317(f94(x63642),x63641)))+P1(f317(f317(f224(a1),a77),x63641))
% 92.29/92.10 [6365]~P94(x63652)+~P126(x63652)+~P1(f317(f317(f225(x63652),f2(x63652)),f317(f94(x63652),x63651)))+P1(f317(f317(f225(a1),a77),x63651))
% 92.29/92.10 [6370]~P126(x63701)+~P94(x63701)+P1(f317(f317(f224(x63701),f317(f94(x63701),x63702)),f2(x63701)))+~P1(f317(f317(f224(a1),x63702),a77))
% 92.29/92.10 [6371]~P126(x63711)+~P94(x63711)+P1(f317(f317(f225(x63711),f317(f94(x63711),x63712)),f2(x63711)))+~P1(f317(f317(f225(a1),x63712),a77))
% 92.29/92.10 [6697]~P94(x66972)+~P126(x66972)+~P1(f317(f317(f224(x66972),f317(f94(x66972),x66971)),f2(x66972)))+P1(f317(f317(f224(a1),x66971),a77))
% 92.29/92.10 [6698]~P94(x66982)+~P126(x66982)+~P1(f317(f317(f225(x66982),f317(f94(x66982),x66981)),f2(x66982)))+P1(f317(f317(f225(a1),x66981),a77))
% 92.29/92.10 [6791]~P126(x67911)+~P94(x67911)+E(f317(f70(x67911),f317(f94(x67911),x67912)),f317(f73(x67911),f317(f94(x67911),x67912)))+~P1(f317(f317(f225(x67911),f317(f94(x67911),x67912)),f2(x67911)))
% 92.29/92.10 [6810]E(f317(f94(a897),x68101),f317(f94(a897),x68102))+~E(f317(f94(a1),x68102),f2(a1))+~P1(f317(f317(f224(a1),f317(f94(a1),x68101)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x68101)))
% 92.29/92.10 [6982]E(x69821,x69822)+~E(f317(a3,x69821),f317(a3,x69822))+~P1(f317(f317(f319(a897),x69822),f232(f904(a897,a893))))+~P1(f317(f317(f319(a897),x69821),f232(f904(a897,a893))))
% 92.29/92.10 [7213]P1(f317(f317(f224(a897),f317(a95,x72131)),f317(a95,x72132)))+~P1(f317(f317(f224(a1),f2(a1)),x72132))+~P1(f317(f317(f224(a1),f2(a1)),x72131))+~P1(f317(f317(f224(a1),x72131),x72132))
% 92.29/92.10 [7214]P1(f317(f317(f225(a897),f317(a95,x72141)),f317(a95,x72142)))+~P1(f317(f317(f224(a1),f2(a1)),x72142))+~P1(f317(f317(f224(a1),f2(a1)),x72141))+~P1(f317(f317(f225(a1),x72141),x72142))
% 92.29/92.10 [7446]~P39(x74462)+~P6(x74461)+~P1(f317(f317(f319(a1),x74461),x74462))+P1(f317(f317(f319(a897),f317(a95,x74461)),f317(f300(a1,a897,a95),x74462)))
% 92.29/92.10 [7451]~P1(f317(f317(f224(a897),f317(a95,x74511)),f317(a95,x74512)))+~P1(f317(f317(f224(a1),f2(a1)),x74512))+~P1(f317(f317(f224(a1),f2(a1)),x74511))+P1(f317(f317(f224(a1),x74511),x74512))
% 92.29/92.10 [7452]~P1(f317(f317(f225(a897),f317(a95,x74521)),f317(a95,x74522)))+~P1(f317(f317(f224(a1),f2(a1)),x74522))+~P1(f317(f317(f224(a1),f2(a1)),x74521))+P1(f317(f317(f225(a1),x74521),x74522))
% 92.29/92.10 [7699]~P107(x76992)+E(x76991,f178(f904(x76992,a893)))+~P1(f317(f29(x76992),x76991))+P1(f317(f317(f224(x76992),f11(x76992,f228(x76992),x76991)),f12(x76992,f223(x76992),x76991)))
% 92.29/92.10 [8019]~P39(x80192)+~P6(x80191)+P1(f317(f317(f319(a1),x80191),x80192))+~P1(f317(f317(f319(a897),f317(a95,x80191)),f317(f300(a1,a897,a95),x80192)))
% 92.29/92.11 [5927]~P140(x59272)+E(x59271,f2(a1))+E(f317(f73(x59272),f317(f93(x59272),f317(f73(a1),x59271))),f317(f93(x59272),x59271))+~P1(f317(f317(f225(a1),x59271),f2(a1)))
% 92.29/92.11 [6006]~P92(x60061)+~P94(x60061)+~P27(x60061,f317(f94(x60061),x60062))+P27(x60061,f317(f94(x60061),f317(f317(f74(a1),x60062),x60062)))
% 92.29/92.11 [6353]~P78(x63532)+E(x63531,f178(f904(x63532,a893)))+E(f15(x63532,f317(f300(x63532,x63532,f73(x63532)),x63531)),f317(f73(x63532),f14(x63532,x63531)))+~P1(f317(f29(x63532),x63531))
% 92.29/92.11 [6354]~P78(x63542)+E(x63541,f178(f904(x63542,a893)))+E(f14(x63542,f317(f300(x63542,x63542,f73(x63542)),x63541)),f317(f73(x63542),f15(x63542,x63541)))+~P1(f317(f29(x63542),x63541))
% 92.29/92.11 [6388]~P92(x63881)+~P94(x63881)+P27(x63881,f317(f94(x63881),x63882))+~P27(x63881,f317(f94(x63881),f317(f317(f74(a1),x63882),x63882)))
% 92.29/92.11 [6482]E(x64821,f2(a1))+E(f317(a47,f46(f317(f73(a1),x64821),f317(f73(a1),x64822))),f42(x64821,x64822))+P1(f317(f317(f224(a1),f2(a1)),x64822))+~P1(f317(f317(f224(a1),f2(a1)),x64821))
% 92.29/92.11 [7363]~P1(f317(f317(f224(a1),f2(a1)),x73631))+~P1(f317(f317(f225(a1),f2(a1)),x73632))+~P1(f317(f317(f224(a1),x73632),x73631))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f31(a1),x73631),x73632)))
% 92.29/92.11 [7774]~E(x77742,f2(a1))+E(f205(x77741,x77742),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x77742),f2(a1)))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x77741),x77742)))
% 92.29/92.11 [7775]~E(x77751,f2(a1))+E(f205(x77751,x77752),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x77752),f2(a1)))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x77751),x77752)))
% 92.29/92.11 [8800]~P39(x88002)+~P39(x88001)+P1(f317(f317(f224(f904(a897,a893)),f317(f300(a1,a897,a95),x88001)),f317(f300(a1,a897,a95),x88002)))+~P1(f317(f317(f224(f904(a1,a893)),x88001),x88002))
% 92.29/92.11 [8801]~P39(x88012)+~P39(x88011)+P1(f317(f317(f225(f904(a897,a893)),f317(f300(a1,a897,a95),x88011)),f317(f300(a1,a897,a95),x88012)))+~P1(f317(f317(f225(f904(a1,a893)),x88011),x88012))
% 92.29/92.11 [9032]~E(f707(x90322,x90321),f708(x90322,x90321))+~P1(f317(f127(x90321),f709(x90322,x90321)))+~P1(f317(f127(f898(x90321)),x90322))+P1(f317(f127(x90321),f317(f132(f898(x90321),f898(x90321),f124(x90321),f103(x90321)),x90322)))
% 92.29/92.11 [9118]~P39(x91182)+~P39(x91181)+~P1(f317(f317(f224(f904(a897,a893)),f317(f300(a1,a897,a95),x91181)),f317(f300(a1,a897,a95),x91182)))+P1(f317(f317(f224(f904(a1,a893)),x91181),x91182))
% 92.29/92.11 [9119]~P39(x91192)+~P39(x91191)+~P1(f317(f317(f225(f904(a897,a893)),f317(f300(a1,a897,a95),x91191)),f317(f300(a1,a897,a95),x91192)))+P1(f317(f317(f225(f904(a1,a893)),x91191),x91192))
% 92.29/92.11 [9126]~E(f707(x91262,x91261),f708(x91262,x91261))+~P1(f317(f127(f898(x91261)),x91262))+P1(f317(f127(x91261),f317(f132(f898(x91261),f898(x91261),f124(x91261),f103(x91261)),x91262)))+P1(f317(f317(f319(f898(x91261)),f709(x91262,x91261)),f317(f162(f898(x91261)),x91262)))
% 92.29/92.11 [9167]~P1(f317(f127(x91671),f709(x91672,x91671)))+~P1(f317(f127(f898(x91671)),x91672))+P1(f317(f127(x91671),f317(f132(f898(x91671),f898(x91671),f124(x91671),f103(x91671)),x91672)))+P1(f317(f317(f319(f898(x91671)),f708(x91672,x91671)),f317(f162(f898(x91671)),x91672)))
% 92.29/92.11 [9168]~P1(f317(f127(x91681),f709(x91682,x91681)))+~P1(f317(f127(f898(x91681)),x91682))+P1(f317(f127(x91681),f317(f132(f898(x91681),f898(x91681),f124(x91681),f103(x91681)),x91682)))+P1(f317(f317(f319(f898(x91681)),f707(x91682,x91681)),f317(f162(f898(x91681)),x91682)))
% 92.29/92.11 [9246]~P1(f317(f127(f898(x92461)),x92462))+P1(f317(f127(x92461),f317(f132(f898(x92461),f898(x92461),f124(x92461),f103(x92461)),x92462)))+P1(f317(f317(f319(f898(x92461)),f708(x92462,x92461)),f317(f162(f898(x92461)),x92462)))+P1(f317(f317(f319(f898(x92461)),f709(x92462,x92461)),f317(f162(f898(x92461)),x92462)))
% 92.29/92.11 [9247]~P1(f317(f127(f898(x92471)),x92472))+P1(f317(f127(x92471),f317(f132(f898(x92471),f898(x92471),f124(x92471),f103(x92471)),x92472)))+P1(f317(f317(f319(f898(x92471)),f707(x92472,x92471)),f317(f162(f898(x92471)),x92472)))+P1(f317(f317(f319(f898(x92471)),f709(x92472,x92471)),f317(f162(f898(x92471)),x92472)))
% 92.29/92.11 [9261]~E(f317(f317(f92(f904(x92611,a893)),f317(f162(x92611),f708(x92612,x92611))),f317(f162(x92611),f707(x92612,x92611))),f178(f904(x92611,a893)))+~P1(f317(f127(x92611),f709(x92612,x92611)))+~P1(f317(f127(f898(x92611)),x92612))+P1(f317(f127(x92611),f317(f132(f898(x92611),f898(x92611),f124(x92611),f103(x92611)),x92612)))
% 92.29/92.11 [9324]~E(f317(f317(f92(f904(x93241,a893)),f317(f162(x93241),f708(x93242,x93241))),f317(f162(x93241),f707(x93242,x93241))),f178(f904(x93241,a893)))+~P1(f317(f127(f898(x93241)),x93242))+P1(f317(f127(x93241),f317(f132(f898(x93241),f898(x93241),f124(x93241),f103(x93241)),x93242)))+P1(f317(f317(f319(f898(x93241)),f709(x93242,x93241)),f317(f162(f898(x93241)),x93242)))
% 92.29/92.11 [9612]E(x96121,f2(a1))+E(x96122,f2(a1))+E(f317(f317(f80(a1,f903(a1,a1)),f317(f317(a207,x96122),x96121)),f317(f317(f18(a1,a1,f903(a1,a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f31(a1),x96122))),f317(f31(a1),x96121))),f205(x96122,x96121))+P1(f317(f317(f225(a1),x96121),f2(a1)))
% 92.29/92.11 [9169]~P149(x91692)+P150(x91691,f317(f317(f299(a892),f909(x91692)),f178(f904(a892,a893))))+~E(f317(f30(a892),x91691),f317(f317(f23(a897),f317(f30(a892),f317(f300(a895,a892,a908),a905))),a910))+~P1(f317(f317(f224(f904(a892,a893)),x91691),f317(f300(a895,a892,a908),a905)))
% 92.29/92.11 [8345]~P94(x83452)+~P126(x83452)+~P1(f317(f317(f224(x83452),f317(f94(x83452),x83451)),f72(x83452)))+P1(f317(f317(f224(a1),x83451),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 92.29/92.11 [8346]~P94(x83462)+~P126(x83462)+~P1(f317(f317(f225(x83462),f317(f94(x83462),x83461)),f72(x83462)))+P1(f317(f317(f225(a1),x83461),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 92.29/92.11 [8617]~P126(x86171)+~P94(x86171)+P1(f317(f317(f224(x86171),f317(f94(x86171),x86172)),f72(x86171)))+~P1(f317(f317(f224(a1),x86172),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 92.29/92.11 [8618]~P126(x86181)+~P94(x86181)+P1(f317(f317(f225(x86181),f317(f94(x86181),x86182)),f72(x86181)))+~P1(f317(f317(f225(a1),x86182),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 92.29/92.11 [8829]~P94(x88292)+~P126(x88292)+~P1(f317(f317(f224(x88292),f72(x88292)),f317(f94(x88292),x88291)))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88291))
% 92.29/92.11 [8830]~P94(x88302)+~P126(x88302)+~P1(f317(f317(f225(x88302),f72(x88302)),f317(f94(x88302),x88301)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88301))
% 92.29/92.11 [9206]~P126(x92061)+~P94(x92061)+P1(f317(f317(f224(x92061),f72(x92061)),f317(f94(x92061),x92062)))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92062))
% 92.29/92.11 [9207]~P126(x92071)+~P94(x92071)+P1(f317(f317(f225(x92071),f72(x92071)),f317(f94(x92071),x92072)))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92072))
% 92.29/92.11 [9741]~P141(x97412)+E(x97411,f72(x97412))+E(x97411,f317(f73(x97412),f72(x97412)))+~E(f317(f317(f234(x97412),x97411),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x97412))
% 92.29/92.11 [10007]~P94(x100071)+~P63(x100071)+~P1(f317(f317(f225(x100071),f2(x100071)),x100072))+P1(f317(f317(f225(x100071),f2(x100071)),f317(f317(f281(x100071),x100072),f317(f94(x100071),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.11 [10008]~P94(x100081)+~P63(x100081)+~P1(f317(f317(f225(x100081),f2(x100081)),x100082))+P1(f317(f317(f225(x100081),f2(x100081)),f317(f317(f281(x100081),x100082),f317(f94(x100081),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.11 [10060]~P94(x100601)+~P63(x100601)+P1(f317(f317(f225(x100601),f2(x100601)),x100602))+~P1(f317(f317(f225(x100601),f2(x100601)),f317(f317(f281(x100601),x100602),f317(f94(x100601),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.11 [10354]~P140(x103542)+E(x103541,f2(a1))+P1(f317(f317(f225(a1),x103541),f2(a1)))+E(f317(f317(f247(a1,a1,x103542),f317(f317(f7(a1,f904(a1,f904(x103542,x103542)),f904(a1,x103542)),f317(f317(f8(f904(f904(x103542,x103542),x103542),f904(f904(a1,f904(x103542,x103542)),f904(a1,x103542)),a1),f8(f904(x103542,x103542),x103542,a1)),f317(f317(f8(x103542,f904(f904(x103542,x103542),x103542),a1),f80(x103542,x103542)),f93(x103542)))),f317(f317(f7(a1,f904(x103542,x103542),f904(x103542,x103542)),f317(f317(f8(f904(x103542,f904(x103542,x103542)),f904(f904(x103542,x103542),f904(x103542,x103542)),a1),f18(x103542,x103542,x103542)),f317(f317(f7(a1,f904(x103542,x103542),f904(x103542,f904(x103542,x103542))),f317(f317(f8(f904(x103542,f904(x103542,x103542)),f904(f904(x103542,x103542),f904(x103542,f904(x103542,x103542))),a1),f8(x103542,f904(x103542,x103542),x103542)),f317(f317(f8(a893,f904(x103542,f904(x103542,x103542)),a1),f86(x103542)),f317(f317(f7(a1,a1,a893),a314),f2(a1))))),f317(f317(f18(x103542,x103542,x103542),f74(x103542)),f5(x103542))))),f317(f317(f7(x103542,x103542,x103542),f317(f317(f8(x103542,f904(x103542,x103542),x103542),f74(x103542)),f317(f317(f18(x103542,x103542,x103542),f74(x103542)),f5(x103542)))),f72(x103542))))),f42(x103541,f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f93(x103542),x103541))
% 92.29/92.11 [10104]P1(f317(f317(f224(a1),x101041),f2(a1)))+P1(f317(f317(f225(a1),x101042),x101041))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x101042),x101041)))+E(f317(f39(x101041),f43(x101042,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101041))),f43(x101042,x101041))
% 92.29/92.11 [10108]P1(f317(f317(f224(a1),x101081),f2(a1)))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x101082),x101081)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x101082),x101081)))+E(f317(f39(x101081),f46(x101082,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101081))),f46(x101082,x101081))
% 92.29/92.11 [5389]~P37(x53891,x53893)+~P51(x53891,x53893)+~P52(x53891,x53892,x53893)+P8(x53891,x53892,x53893)
% 92.29/92.11 [5390]~P37(x53901,x53903)+~P51(x53901,x53903)+~P52(x53901,x53902,x53903)+P8(x53901,x53902,x53903)
% 92.29/92.11 [4926]~P92(x49263)+~P94(x49263)+E(x49261,x49262)+~E(f317(f94(x49263),x49261),f317(f94(x49263),x49262))
% 92.29/92.11 [5399]~P49(x53991,x53992)+~P50(x53991,x53992)+P15(x53991,x53992)+~P1(f317(f317(x53992,x53993),x53993))
% 92.29/92.11 [5400]~P49(x54001,x54002)+~P50(x54001,x54002)+P15(x54001,x54002)+~P1(f317(f317(x54002,x54003),x54003))
% 92.29/92.11 [5907]P15(x59072,x59071)+E(f317(x59071,f784(x59071)),f317(x59071,f785(x59071)))+P1(f317(f317(x59071,f784(x59071)),f785(x59071)))+~P1(f317(f317(x59071,x59073),x59073))
% 92.29/92.11 [6114]~P1(f317(x61141,x61142))+~P1(f317(x61141,x61143))+~P1(f317(f317(f224(a897),x61143),f621(x61142,x61141)))+P1(f317(x61141,f2(a897)))
% 92.29/92.11 [6181]P15(x61811,x61812)+P1(f317(f317(x61812,f784(x61812)),f784(x61812)))+P1(f317(f317(x61812,f784(x61812)),f785(x61812)))+~P1(f317(f317(x61812,x61813),x61813))
% 92.29/92.11 [6182]P15(x61821,x61822)+P1(f317(f317(x61822,f784(x61822)),f785(x61822)))+P1(f317(f317(x61822,f785(x61822)),f785(x61822)))+~P1(f317(f317(x61822,x61823),x61823))
% 92.29/92.11 [6547]P148(x65472,x65471,x65473)+E(x65471,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x65473,x65471,x65472)))+P1(f317(f317(f225(a1),x65471),f2(a1)))
% 92.29/92.11 [6548]P147(x65482,x65481,x65483)+E(x65481,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f845(x65483,x65481,x65482)))+P1(f317(f317(f225(a1),x65481),f2(a1)))
% 92.29/92.11 [6677]P147(x66771,x66772,x66773)+~P1(f317(x66771,x66773))+P1(f317(f317(f224(a1),f2(a1)),f845(x66773,x66772,x66771)))+P1(f317(f317(f225(a1),x66772),f2(a1)))
% 92.29/92.11 [6703]P148(x67031,x67032,x67033)+P1(f317(f317(f224(a1),f2(a1)),f835(x67033,x67032,x67031)))+~P1(f317(x67031,f2(a1)))+P1(f317(f317(f225(a1),x67032),f2(a1)))
% 92.29/92.11 [6735]P148(x67352,x67351,x67353)+E(x67351,f2(a1))+~P1(f317(x67352,f836(x67353,x67351,x67352)))+P1(f317(f317(f225(a1),x67351),f2(a1)))
% 92.29/92.11 [6736]P147(x67362,x67361,x67363)+E(x67361,f2(a1))+~P1(f317(x67362,f845(x67363,x67361,x67362)))+P1(f317(f317(f225(a1),x67361),f2(a1)))
% 92.29/92.11 [6838]~P107(x68381)+~P5(x68381)+~P1(f317(f317(f225(x68381),x68382),f32(x68381,x68383)))+P1(f317(f317(f225(x68381),x68382),f480(x68383,x68382,x68381)))
% 92.29/92.11 [6848]P147(x68481,x68482,x68483)+~P1(f317(x68481,x68483))+~P1(f317(x68481,f845(x68483,x68482,x68481)))+P1(f317(f317(f225(a1),x68482),f2(a1)))
% 92.29/92.11 [6880]P148(x68801,x68802,x68803)+~P1(f317(x68801,f836(x68803,x68802,x68801)))+~P1(f317(x68801,f2(a1)))+P1(f317(f317(f225(a1),x68802),f2(a1)))
% 92.29/92.11 [7134]P148(x71342,x71341,x71343)+E(x71341,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x71343,x71341,x71342)))+P1(f317(f317(f225(a1),x71341),f834(x71343,x71341,x71342)))
% 92.29/92.11 [7135]P147(x71352,x71351,x71353)+E(x71351,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f845(x71353,x71351,x71352)))+P1(f317(f317(f225(a1),x71351),f844(x71353,x71351,x71352)))
% 92.29/92.11 [7255]P147(x72551,x72552,x72553)+~P1(f317(x72551,x72553))+P1(f317(f317(f224(a1),f2(a1)),f845(x72553,x72552,x72551)))+P1(f317(f317(f225(a1),x72552),f844(x72553,x72552,x72551)))
% 92.29/92.11 [7276]P148(x72761,x72762,x72763)+P1(f317(f317(f224(a1),f2(a1)),f835(x72763,x72762,x72761)))+P1(f317(f317(f225(a1),x72762),f834(x72763,x72762,x72761)))+~P1(f317(x72761,f2(a1)))
% 92.29/92.11 [7307]P148(x73072,x73071,x73073)+E(x73071,f2(a1))+~P1(f317(x73072,f836(x73073,x73071,x73072)))+P1(f317(f317(f225(a1),x73071),f834(x73073,x73071,x73072)))
% 92.29/92.11 [7308]P147(x73082,x73081,x73083)+E(x73081,f2(a1))+~P1(f317(x73082,f845(x73083,x73081,x73082)))+P1(f317(f317(f225(a1),x73081),f844(x73083,x73081,x73082)))
% 92.29/92.11 [7352]P148(x73522,x73521,x73523)+E(x73521,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x73523,x73521,x73522)))+~P1(f317(x73522,f841(x73523,x73521,x73522)))
% 92.29/92.11 [7353]P147(x73532,x73531,x73533)+E(x73531,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f845(x73533,x73531,x73532)))+~P1(f317(x73532,f844(x73533,x73531,x73532)))
% 92.29/92.11 [7450]P147(x74501,x74502,x74503)+~P1(f317(x74501,x74503))+~P1(f317(x74501,f845(x74503,x74502,x74501)))+P1(f317(f317(f225(a1),x74502),f844(x74503,x74502,x74501)))
% 92.29/92.11 [7465]P148(x74651,x74652,x74653)+~P1(f317(x74651,f836(x74653,x74652,x74651)))+P1(f317(f317(f225(a1),x74652),f834(x74653,x74652,x74651)))+~P1(f317(x74651,f2(a1)))
% 92.29/92.11 [7468]P147(x74681,x74682,x74683)+~P1(f317(x74681,x74683))+P1(f317(f317(f224(a1),f2(a1)),f845(x74683,x74682,x74681)))+~P1(f317(x74681,f844(x74683,x74682,x74681)))
% 92.29/92.11 [7485]P148(x74851,x74852,x74853)+P1(f317(f317(f224(a1),f2(a1)),f835(x74853,x74852,x74851)))+~P1(f317(x74851,f841(x74853,x74852,x74851)))+~P1(f317(x74851,f2(a1)))
% 92.29/92.11 [7508]P148(x75082,x75081,x75083)+E(x75081,f2(a1))+~P1(f317(x75082,f836(x75083,x75081,x75082)))+~P1(f317(x75082,f841(x75083,x75081,x75082)))
% 92.29/92.11 [7509]P147(x75092,x75091,x75093)+E(x75091,f2(a1))+~P1(f317(x75092,f845(x75093,x75091,x75092)))+~P1(f317(x75092,f844(x75093,x75091,x75092)))
% 92.29/92.11 [7593]P147(x75931,x75932,x75933)+~P1(f317(x75931,x75933))+~P1(f317(x75931,f845(x75933,x75932,x75931)))+~P1(f317(x75931,f844(x75933,x75932,x75931)))
% 92.29/92.11 [7611]P148(x76111,x76112,x76113)+~P1(f317(x76111,f836(x76113,x76112,x76111)))+~P1(f317(x76111,f841(x76113,x76112,x76111)))+~P1(f317(x76111,f2(a1)))
% 92.29/92.11 [7658]P148(x76582,x76581,x76583)+E(x76581,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x76583,x76581,x76582)))+P1(f317(f317(f224(a1),f834(x76583,x76581,x76582)),f2(a1)))
% 92.29/92.11 [7659]P147(x76592,x76591,x76593)+E(x76591,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f845(x76593,x76591,x76592)))+P1(f317(f317(f224(a1),f844(x76593,x76591,x76592)),f2(a1)))
% 92.29/92.11 [7660]~P88(x76601)+~P1(f317(f317(f224(x76601),x76603),f2(x76601)))+~P1(f317(f317(f224(x76601),x76602),f2(x76601)))+P1(f317(f317(f224(x76601),f317(f317(f74(x76601),x76602),x76603)),f2(x76601)))
% 92.29/92.11 [7661]~P140(x76611)+~P1(f317(f317(f319(x76611),x76613),f100(x76611)))+~P1(f317(f317(f319(x76611),x76612),f100(x76611)))+P1(f317(f317(f319(x76611),f317(f317(f23(x76611),x76612),x76613)),f100(x76611)))
% 92.29/92.11 [7662]~P140(x76621)+~P1(f317(f317(f319(x76621),x76623),f100(x76621)))+~P1(f317(f317(f319(x76621),x76622),f100(x76621)))+P1(f317(f317(f319(x76621),f317(f317(f74(x76621),x76622),x76623)),f100(x76621)))
% 92.29/92.11 [7663]~P144(x76631)+~P1(f317(f317(f319(x76631),x76633),f176(x76631)))+~P1(f317(f317(f319(x76631),x76632),f176(x76631)))+P1(f317(f317(f319(x76631),f317(f317(f74(x76631),x76632),x76633)),f176(x76631)))
% 92.29/92.11 [7664]~P140(x76641)+~P1(f317(f317(f319(x76641),x76643),f100(x76641)))+~P1(f317(f317(f319(x76641),x76642),f100(x76641)))+P1(f317(f317(f319(x76641),f317(f317(f75(x76641),x76642),x76643)),f100(x76641)))
% 92.29/92.11 [7665]~P144(x76651)+~P1(f317(f317(f319(x76651),x76653),f176(x76651)))+~P1(f317(f317(f319(x76651),x76652),f176(x76651)))+P1(f317(f317(f319(x76651),f317(f317(f75(x76651),x76652),x76653)),f176(x76651)))
% 92.29/92.11 [7666]~P88(x76661)+~P1(f317(f317(f224(x76661),x76663),f2(x76661)))+~P1(f317(f317(f225(x76661),x76662),f2(x76661)))+P1(f317(f317(f225(x76661),f317(f317(f74(x76661),x76662),x76663)),f2(x76661)))
% 92.29/92.11 [7667]~P88(x76671)+~P1(f317(f317(f224(x76671),x76672),f2(x76671)))+~P1(f317(f317(f225(x76671),x76673),f2(x76671)))+P1(f317(f317(f225(x76671),f317(f317(f74(x76671),x76672),x76673)),f2(x76671)))
% 92.29/92.11 [7668]~P88(x76681)+~P1(f317(f317(f225(x76681),x76683),f2(x76681)))+~P1(f317(f317(f225(x76681),x76682),f2(x76681)))+P1(f317(f317(f225(x76681),f317(f317(f74(x76681),x76682),x76683)),f2(x76681)))
% 92.29/92.11 [7695]P148(x76953,x76951,x76952)+E(x76951,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76951),f836(x76952,x76951,x76953))),f835(x76952,x76951,x76953)),x76952)+P1(f317(f317(f225(a1),x76951),f2(a1)))
% 92.29/92.11 [7696]P147(x76963,x76961,x76962)+E(x76961,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76961),f842(x76962,x76961,x76963))),f845(x76962,x76961,x76963)),x76962)+P1(f317(f317(f225(a1),x76961),f2(a1)))
% 92.29/92.11 [7779]P147(x77791,x77792,x77793)+~P1(f317(x77791,x77793))+P1(f317(f317(f224(a1),f2(a1)),f845(x77793,x77792,x77791)))+P1(f317(f317(f224(a1),f844(x77793,x77792,x77791)),f2(a1)))
% 92.29/92.11 [7810]P148(x78101,x78102,x78103)+P1(f317(f317(f224(a1),f2(a1)),f835(x78103,x78102,x78101)))+~P1(f317(x78101,f2(a1)))+P1(f317(f317(f224(a1),f834(x78103,x78102,x78101)),f2(a1)))
% 92.29/92.11 [7819]P147(x78193,x78191,x78192)+~P1(f317(x78193,x78192))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78191),f842(x78192,x78191,x78193))),f845(x78192,x78191,x78193)),x78192)+P1(f317(f317(f225(a1),x78191),f2(a1)))
% 92.29/92.11 [7825]P148(x78252,x78251,x78253)+E(x78251,f2(a1))+~P1(f317(x78252,f836(x78253,x78251,x78252)))+P1(f317(f317(f224(a1),f834(x78253,x78251,x78252)),f2(a1)))
% 92.29/92.11 [7826]P147(x78262,x78261,x78263)+E(x78261,f2(a1))+~P1(f317(x78262,f845(x78263,x78261,x78262)))+P1(f317(f317(f224(a1),f844(x78263,x78261,x78262)),f2(a1)))
% 92.29/92.11 [7831]P148(x78313,x78311,x78312)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78311),f836(x78312,x78311,x78313))),f835(x78312,x78311,x78313)),x78312)+~P1(f317(x78313,f2(a1)))+P1(f317(f317(f225(a1),x78311),f2(a1)))
% 92.29/92.11 [7888]P147(x78881,x78882,x78883)+~P1(f317(x78881,x78883))+~P1(f317(x78881,f845(x78883,x78882,x78881)))+P1(f317(f317(f224(a1),f844(x78883,x78882,x78881)),f2(a1)))
% 92.29/92.11 [7892]P148(x78921,x78922,x78923)+~P1(f317(x78921,f836(x78923,x78922,x78921)))+~P1(f317(x78921,f2(a1)))+P1(f317(f317(f224(a1),f834(x78923,x78922,x78921)),f2(a1)))
% 92.29/92.11 [7960]~P111(x79601)+~P1(f317(f317(f224(x79601),f317(f317(f75(x79601),x79603),x79602)),f2(x79601)))+P1(f317(f317(f224(x79601),x79602),f2(x79601)))+P1(f317(f317(f224(x79601),x79603),f2(x79601)))
% 92.29/92.11 [7961]~P63(x79611)+~P1(f317(f317(f224(x79611),f317(f317(f281(x79611),x79613),x79612)),f2(x79611)))+P1(f317(f317(f224(x79611),x79612),f2(x79611)))+P1(f317(f317(f224(x79611),x79613),f2(x79611)))
% 92.29/92.11 [7962]~P63(x79621)+~P1(f317(f317(f225(x79621),f317(f317(f281(x79621),x79623),x79622)),f2(x79621)))+P1(f317(f317(f225(x79621),x79622),f2(x79621)))+P1(f317(f317(f225(x79621),x79623),f2(x79621)))
% 92.29/92.11 [8075]P148(x80753,x80751,x80752)+E(x80751,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80751),f836(x80752,x80751,x80753))),f835(x80752,x80751,x80753)),x80752)+P1(f317(f317(f225(a1),x80751),f834(x80752,x80751,x80753)))
% 92.29/92.11 [8076]P147(x80763,x80761,x80762)+E(x80761,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80761),f842(x80762,x80761,x80763))),f845(x80762,x80761,x80763)),x80762)+P1(f317(f317(f225(a1),x80761),f844(x80762,x80761,x80763)))
% 92.29/92.11 [8088]P148(x80883,x80881,x80882)+E(x80881,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80881),f841(x80882,x80881,x80883))),f834(x80882,x80881,x80883)),x80882)+P1(f317(f317(f224(a1),f2(a1)),f835(x80882,x80881,x80883)))
% 92.29/92.11 [8089]P147(x80893,x80891,x80892)+E(x80891,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80891),f846(x80892,x80891,x80893))),f844(x80892,x80891,x80893)),x80892)+P1(f317(f317(f224(a1),f2(a1)),f845(x80892,x80891,x80893)))
% 92.29/92.11 [8131]P147(x81313,x81311,x81312)+~P1(f317(x81313,x81312))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81311),f842(x81312,x81311,x81313))),f845(x81312,x81311,x81313)),x81312)+P1(f317(f317(f225(a1),x81311),f844(x81312,x81311,x81313)))
% 92.29/92.11 [8140]P148(x81403,x81401,x81402)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81401),f836(x81402,x81401,x81403))),f835(x81402,x81401,x81403)),x81402)+P1(f317(f317(f225(a1),x81401),f834(x81402,x81401,x81403)))+~P1(f317(x81403,f2(a1)))
% 92.29/92.11 [8146]P147(x81463,x81461,x81462)+~P1(f317(x81463,x81462))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81461),f846(x81462,x81461,x81463))),f844(x81462,x81461,x81463)),x81462)+P1(f317(f317(f224(a1),f2(a1)),f845(x81462,x81461,x81463)))
% 92.29/92.11 [8152]P148(x81523,x81521,x81522)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81521),f841(x81522,x81521,x81523))),f834(x81522,x81521,x81523)),x81522)+P1(f317(f317(f224(a1),f2(a1)),f835(x81522,x81521,x81523)))+~P1(f317(x81523,f2(a1)))
% 92.29/92.11 [8163]P148(x81633,x81631,x81632)+E(x81631,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81631),f836(x81632,x81631,x81633))),f835(x81632,x81631,x81633)),x81632)+~P1(f317(x81633,f841(x81632,x81631,x81633)))
% 92.29/92.11 [8164]P147(x81643,x81641,x81642)+E(x81641,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81641),f842(x81642,x81641,x81643))),f845(x81642,x81641,x81643)),x81642)+~P1(f317(x81643,f844(x81642,x81641,x81643)))
% 92.29/92.11 [8165]P148(x81653,x81651,x81652)+E(x81651,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81651),f841(x81652,x81651,x81653))),f834(x81652,x81651,x81653)),x81652)+~P1(f317(x81653,f836(x81652,x81651,x81653)))
% 92.29/92.11 [8166]P147(x81663,x81661,x81662)+E(x81661,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81661),f846(x81662,x81661,x81663))),f844(x81662,x81661,x81663)),x81662)+~P1(f317(x81663,f845(x81662,x81661,x81663)))
% 92.29/92.11 [8225]P147(x82253,x82251,x82252)+~P1(f317(x82253,x82252))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82251),f842(x82252,x82251,x82253))),f845(x82252,x82251,x82253)),x82252)+~P1(f317(x82253,f844(x82252,x82251,x82253)))
% 92.29/92.11 [8226]P147(x82263,x82261,x82262)+~P1(f317(x82263,x82262))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82261),f846(x82262,x82261,x82263))),f844(x82262,x82261,x82263)),x82262)+~P1(f317(x82263,f845(x82262,x82261,x82263)))
% 92.29/92.11 [8239]P148(x82393,x82391,x82392)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82391),f836(x82392,x82391,x82393))),f835(x82392,x82391,x82393)),x82392)+~P1(f317(x82393,f841(x82392,x82391,x82393)))+~P1(f317(x82393,f2(a1)))
% 92.29/92.11 [8240]P148(x82403,x82401,x82402)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82401),f841(x82402,x82401,x82403))),f834(x82402,x82401,x82403)),x82402)+~P1(f317(x82403,f836(x82402,x82401,x82403)))+~P1(f317(x82403,f2(a1)))
% 92.29/92.11 [8338]P148(x83383,x83381,x83382)+E(x83381,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83381),f836(x83382,x83381,x83383))),f835(x83382,x83381,x83383)),x83382)+P1(f317(f317(f224(a1),f834(x83382,x83381,x83383)),f2(a1)))
% 92.29/92.11 [8339]P147(x83393,x83391,x83392)+E(x83391,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83391),f842(x83392,x83391,x83393))),f845(x83392,x83391,x83393)),x83392)+P1(f317(f317(f224(a1),f844(x83392,x83391,x83393)),f2(a1)))
% 92.29/92.11 [8379]P147(x83793,x83791,x83792)+~P1(f317(x83793,x83792))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83791),f842(x83792,x83791,x83793))),f845(x83792,x83791,x83793)),x83792)+P1(f317(f317(f224(a1),f844(x83792,x83791,x83793)),f2(a1)))
% 92.29/92.11 [8384]P148(x83843,x83841,x83842)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83841),f836(x83842,x83841,x83843))),f835(x83842,x83841,x83843)),x83842)+~P1(f317(x83843,f2(a1)))+P1(f317(f317(f224(a1),f834(x83842,x83841,x83843)),f2(a1)))
% 92.29/92.11 [8519]P148(x85193,x85191,x85192)+E(x85191,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85191),f841(x85192,x85191,x85193))),f834(x85192,x85191,x85193)),x85192)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85191),f836(x85192,x85191,x85193))),f835(x85192,x85191,x85193)),x85192)
% 92.29/92.11 [8520]P147(x85203,x85201,x85202)+E(x85201,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85201),f846(x85202,x85201,x85203))),f844(x85202,x85201,x85203)),x85202)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85201),f842(x85202,x85201,x85203))),f845(x85202,x85201,x85203)),x85202)
% 92.29/92.11 [8540]P147(x85403,x85401,x85402)+~P1(f317(x85403,x85402))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85401),f846(x85402,x85401,x85403))),f844(x85402,x85401,x85403)),x85402)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85401),f842(x85402,x85401,x85403))),f845(x85402,x85401,x85403)),x85402)
% 92.29/92.11 [8551]P148(x85513,x85511,x85512)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85511),f841(x85512,x85511,x85513))),f834(x85512,x85511,x85513)),x85512)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85511),f836(x85512,x85511,x85513))),f835(x85512,x85511,x85513)),x85512)+~P1(f317(x85513,f2(a1)))
% 92.29/92.11 [9214]~P111(x92141)+~E(x92143,f2(x92141))+~E(x92142,f2(x92141))+P1(f317(f317(f224(x92141),f317(f317(f74(x92141),f317(f317(f75(x92141),x92142),x92142)),f317(f317(f75(x92141),x92143),x92143))),f2(x92141)))
% 92.29/92.11 [10295]~P126(x102951)+~E(x102953,f2(x102951))+~E(x102952,f2(x102951))+P1(f317(f317(f224(x102951),f317(f317(f74(x102951),f317(f317(f234(x102951),x102952),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102951),x102953),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x102951)))
% 92.29/92.11 [4874]~E(x48743,x48741)+~P122(x48742)+E(x48741,f2(x48742))+E(f317(f317(f281(x48742),x48743),x48741),f72(x48742))
% 92.29/92.11 [4927]~P100(x49271)+~E(x49273,f178(x49271))+~E(x49272,f178(x49271))+E(f317(f317(f91(x49271),x49272),x49273),f178(x49271))
% 92.29/92.11 [4928]~P103(x49281)+~E(x49283,f232(x49281))+~E(x49282,f232(x49281))+E(f317(f317(f92(x49281),x49282),x49283),f232(x49281))
% 92.29/92.11 [5025]~P122(x50253)+E(x50251,x50252)+E(x50252,f2(x50253))+~E(f317(f317(f281(x50253),x50251),x50252),f72(x50253))
% 92.29/92.11 [5042]~P132(x50422)+E(x50421,f2(x50422))+E(x50423,f2(x50422))+~E(f317(f317(f75(x50422),x50423),x50421),f2(x50422))
% 92.29/92.11 [5043]~P132(x50432)+E(x50431,f2(x50432))+E(x50433,f2(x50432))+~E(f317(f317(f75(x50432),x50433),x50431),f2(x50432))
% 92.29/92.11 [5044]~P138(x50442)+E(x50441,f2(x50442))+E(x50443,f2(x50442))+~E(f317(f317(f75(x50442),x50443),x50441),f2(x50442))
% 92.29/92.11 [5419]~P120(x54193)+E(x54191,x54192)+E(x54191,f317(f73(x54193),x54192))+~E(f317(f317(f75(x54193),x54191),x54191),f317(f317(f75(x54193),x54192),x54192))
% 92.29/92.11 [5458]~P96(x54581)+E(f317(f73(x54581),x54582),x54583)+~E(f317(f317(f91(x54581),x54582),x54583),f232(x54581))+~E(f317(f317(f92(x54581),x54582),x54583),f178(x54581))
% 92.29/92.11 [5534]~P107(x55343)+E(x55341,x55342)+P1(f317(f317(f225(x55343),x55342),x55341))+P1(f317(f317(f225(x55343),x55341),x55342))
% 92.29/92.11 [5535]~P107(x55353)+E(x55351,x55352)+P1(f317(f317(f225(x55353),x55352),x55351))+P1(f317(f317(f225(x55353),x55351),x55352))
% 92.29/92.11 [5536]~P107(x55363)+E(x55361,x55362)+P1(f317(f317(f225(x55363),x55362),x55361))+P1(f317(f317(f225(x55363),x55361),x55362))
% 92.29/92.11 [5537]~P107(x55373)+E(x55371,x55372)+P1(f317(f317(f225(x55373),x55372),x55371))+P1(f317(f317(f225(x55373),x55371),x55372))
% 92.29/92.11 [5538]~P107(x55383)+E(x55381,x55382)+P1(f317(f317(f225(x55383),x55382),x55381))+P1(f317(f317(f225(x55383),x55381),x55382))
% 92.29/92.11 [5539]~P126(x55393)+E(x55391,x55392)+P1(f317(f317(f225(x55393),x55392),x55391))+P1(f317(f317(f225(x55393),x55391),x55392))
% 92.29/92.11 [5540]~P107(x55403)+E(x55401,x55402)+P1(f317(f317(f225(x55403),x55402),x55401))+P1(f317(f317(f225(x55403),x55401),x55402))
% 92.29/92.11 [5541]~E(x55412,x55413)+~P107(x55411)+P1(f317(f317(f225(x55411),x55412),x55413))+P1(f317(f317(f224(x55411),x55412),x55413))
% 92.29/92.11 [5714]P148(x57142,x57141,x57143)+E(x57141,f2(a1))+P1(f317(f317(f225(a1),x57141),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x57141))
% 92.29/92.11 [5715]P147(x57152,x57151,x57153)+E(x57151,f2(a1))+P1(f317(f317(f225(a1),x57151),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x57151))
% 92.29/92.11 [5740]E(x57401,x57402)+P1(f317(f317(x57403,x57401),x57402))+P1(f317(f317(f225(a897),x57402),x57401))+P1(f317(f317(f225(a897),x57401),x57402))
% 92.29/92.11 [5802]~P108(x58023)+E(x58021,x58022)+~P1(f317(f317(f224(x58023),x58022),x58021))+P1(f317(f317(f225(x58023),x58022),x58021))
% 92.29/92.11 [5803]~P107(x58033)+E(x58031,x58032)+~P1(f317(f317(f224(x58033),x58031),x58032))+P1(f317(f317(f225(x58033),x58031),x58032))
% 92.29/92.11 [5804]~P107(x58043)+E(x58041,x58042)+~P1(f317(f317(f224(x58043),x58041),x58042))+P1(f317(f317(f225(x58043),x58041),x58042))
% 92.29/92.11 [5805]~P108(x58053)+E(x58051,x58052)+~P1(f317(f317(f224(x58053),x58051),x58052))+P1(f317(f317(f225(x58053),x58051),x58052))
% 92.29/92.11 [5806]~P108(x58063)+E(x58061,x58062)+~P1(f317(f317(f224(x58063),x58061),x58062))+P1(f317(f317(f225(x58063),x58061),x58062))
% 92.29/92.11 [5807]~P108(x58073)+E(x58071,x58072)+~P1(f317(f317(f224(x58073),x58071),x58072))+P1(f317(f317(f225(x58073),x58071),x58072))
% 92.29/92.11 [5808]~P108(x58083)+E(x58081,x58082)+~P1(f317(f317(f224(x58083),x58081),x58082))+P1(f317(f317(f225(x58083),x58081),x58082))
% 92.29/92.11 [5809]~P108(x58093)+E(x58091,x58092)+~P1(f317(f317(f224(x58093),x58091),x58092))+P1(f317(f317(f225(x58093),x58091),x58092))
% 92.29/92.11 [5810]~P108(x58103)+E(x58101,x58102)+~P1(f317(f317(f224(x58103),x58101),x58102))+P1(f317(f317(f225(x58103),x58101),x58102))
% 92.29/92.11 [5924]P147(x59241,x59242,x59243)+~P1(f317(x59241,x59243))+P1(f317(f317(f225(a1),x59242),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59242))
% 92.29/92.11 [5978]P148(x59781,x59782,x59783)+~P1(f317(x59781,f2(a1)))+P1(f317(f317(f225(a1),x59782),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59782))
% 92.29/92.11 [5983]~P99(x59831)+E(f317(f317(f91(x59831),x59832),f10(x59831,x59833)),x59832)+~P1(f317(f29(x59831),x59833))+~P1(f317(f317(f319(x59831),x59832),x59833))
% 92.29/92.11 [5984]~P99(x59841)+E(f317(f317(f92(x59841),x59842),f13(x59841,x59843)),x59842)+~P1(f317(f29(x59841),x59843))+~P1(f317(f317(f319(x59841),x59842),x59843))
% 92.29/92.11 [6023]~P107(x60231)+E(f317(f317(f228(x60231),x60232),f14(x60231,x60233)),f14(x60231,x60233))+~P1(f317(f29(x60231),x60233))+~P1(f317(f317(f319(x60231),x60232),x60233))
% 92.29/92.11 [6024]~P107(x60241)+E(f317(f317(f223(x60241),x60242),f15(x60241,x60243)),f15(x60241,x60243))+~P1(f317(f29(x60241),x60243))+~P1(f317(f317(f319(x60241),x60242),x60243))
% 92.29/92.11 [6025]~P99(x60251)+E(f317(f317(f91(x60251),x60252),f13(x60251,x60253)),f13(x60251,x60253))+~P1(f317(f29(x60251),x60253))+~P1(f317(f317(f319(x60251),x60252),x60253))
% 92.29/92.11 [6026]~P99(x60261)+E(f317(f317(f92(x60261),x60262),f10(x60261,x60263)),f10(x60261,x60263))+~P1(f317(f29(x60261),x60263))+~P1(f317(f317(f319(x60261),x60262),x60263))
% 92.29/92.11 [6062]E(x60621,x60622)+~P108(x60623)+~P1(f317(f317(f224(x60623),x60622),x60621))+~P1(f317(f317(f224(x60623),x60621),x60622))
% 92.29/92.11 [6063]E(x60631,x60632)+~P108(x60633)+~P1(f317(f317(f224(x60633),x60632),x60631))+~P1(f317(f317(f224(x60633),x60631),x60632))
% 92.29/92.11 [6064]E(x60641,x60642)+~P108(x60643)+~P1(f317(f317(f224(x60643),x60642),x60641))+~P1(f317(f317(f224(x60643),x60641),x60642))
% 92.29/92.11 [6065]E(x60651,x60652)+~P108(x60653)+~P1(f317(f317(f224(x60653),x60652),x60651))+~P1(f317(f317(f224(x60653),x60651),x60652))
% 92.29/92.11 [6067]~E(x60671,x60672)+~P107(x60673)+~P1(f317(f317(f224(x60673),x60671),x60672))+~P1(f317(f317(f225(x60673),x60671),x60672))
% 92.29/92.11 [6210]~P65(x62101)+P1(f317(f317(f225(x62101),x62103),x62102))+~P1(f317(f317(f224(x62101),x62103),x62102))+P1(f317(f317(f224(x62101),x62102),x62103))
% 92.29/92.11 [6238]~P107(x62381)+~P1(f317(f29(x62381),x62383))+P1(f317(f317(f224(x62381),x62382),f15(x62381,x62383)))+~P1(f317(f317(f319(x62381),x62382),x62383))
% 92.29/92.11 [6287]~P107(x62871)+E(f317(f317(f228(x62871),x62872),f12(x62871,f223(x62871),x62873)),x62872)+~P1(f317(f29(x62871),x62873))+~P1(f317(f317(f319(x62871),x62872),x62873))
% 92.29/92.11 [6288]~P107(x62881)+E(f317(f317(f223(x62881),x62882),f11(x62881,f228(x62881),x62883)),x62882)+~P1(f317(f29(x62881),x62883))+~P1(f317(f317(f319(x62881),x62882),x62883))
% 92.29/92.11 [6434]E(x64341,x64342)+~E(f317(f317(f23(a897),x64341),x64343),f317(f317(f23(a897),x64342),x64343))+~P1(f317(f317(f224(a897),x64343),x64341))+~P1(f317(f317(f224(a897),x64343),x64342))
% 92.29/92.11 [6461]~P107(x64611)+~P1(f317(f29(x64611),x64612))+~P1(f317(f317(f319(x64611),x64613),x64612))+P1(f317(f317(f224(x64611),f14(x64611,x64612)),x64613))
% 92.29/92.11 [6502]E(x65021,f2(a897))+~P1(f317(f44(x65023,x65021),x65022))+P1(f317(f317(f225(a897),f2(a897)),x65021))+P1(f317(f317(f225(a897),x65021),f317(f246(a897,a897),x65022)))
% 92.29/92.11 [6526]P148(x65262,x65261,x65263)+E(x65261,f2(a1))+P1(f317(f317(f225(a1),x65261),f834(x65263,x65261,x65262)))+P1(f317(f317(f225(a1),f2(a1)),x65261))
% 92.29/92.11 [6527]P147(x65272,x65271,x65273)+E(x65271,f2(a1))+P1(f317(f317(f225(a1),x65271),f844(x65273,x65271,x65272)))+P1(f317(f317(f225(a1),f2(a1)),x65271))
% 92.29/92.11 [6528]~P107(x65281)+E(f317(f317(f228(x65281),x65282),f11(x65281,f228(x65281),x65283)),f11(x65281,f228(x65281),x65283))+~P1(f317(f29(x65281),x65283))+~P1(f317(f317(f319(x65281),x65282),x65283))
% 92.29/92.11 [6529]~P107(x65291)+E(f317(f317(f223(x65291),x65292),f12(x65291,f223(x65291),x65293)),f12(x65291,f223(x65291),x65293))+~P1(f317(f29(x65291),x65293))+~P1(f317(f317(f319(x65291),x65292),x65293))
% 92.29/92.11 [6534]~P1(f317(x65341,x65342))+P1(f317(x65341,f570(x65342,x65341,x65343)))+P1(f317(x65341,f2(a897)))+~P1(f317(f317(f225(a897),x65342),x65343))
% 92.29/92.11 [6575]~P1(f317(f317(f277(a897),x65752),x65751))+~P1(f317(f317(f277(a897),x65751),x65753))+P1(f317(f317(f277(a897),x65751),x65752))+P1(f317(f317(f277(a897),x65752),x65753))
% 92.29/92.11 [6576]~P1(f317(f317(f277(a897),x65763),x65762))+~P1(f317(f317(f277(a897),x65762),x65761))+P1(f317(f317(f277(a897),x65761),x65762))+P1(f317(f317(f277(a897),x65763),x65761))
% 92.29/92.11 [6595]~P1(f317(x65951,x65952))+~P1(f317(f29(x65953),x65952))+P1(f317(x65951,f350(x65951,x65952,x65953)))+P1(f317(x65951,f178(f904(x65953,a893))))
% 92.29/92.11 [6608]~P126(x66081)+~P94(x66081)+P1(f317(f317(f224(x66081),f317(f94(x66081),x66082)),f317(f94(x66081),x66083)))+~P1(f317(f317(f224(a1),x66082),x66083))
% 92.29/92.11 [6609]~P126(x66091)+~P94(x66091)+P1(f317(f317(f225(x66091),f317(f94(x66091),x66092)),f317(f94(x66091),x66093)))+~P1(f317(f317(f225(a1),x66092),x66093))
% 92.29/92.11 [6612]~P1(f317(x66121,x66123))+~P1(f317(f29(x66122),x66123))+P1(f317(f29(x66122),f350(x66121,x66123,x66122)))+P1(f317(x66121,f178(f904(x66122,a893))))
% 92.29/92.11 [6646]P147(x66461,x66462,x66463)+~P1(f317(x66461,x66463))+P1(f317(f317(f225(a1),x66462),f844(x66463,x66462,x66461)))+P1(f317(f317(f225(a1),f2(a1)),x66462))
% 92.29/92.11 [6684]P148(x66841,x66842,x66843)+P1(f317(f317(f225(a1),x66842),f834(x66843,x66842,x66841)))+~P1(f317(x66841,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x66842))
% 92.29/92.11 [6714]~P109(x67141)+~P93(x67141)+E(f317(f317(f228(x67141),f317(f94(x67141),x67142)),f317(f94(x67141),x67143)),f317(f94(x67141),x67143))+P1(f317(f317(f224(x67141),f317(f94(x67141),x67142)),f317(f94(x67141),x67143)))
% 92.29/92.11 [6715]~P109(x67151)+~P93(x67151)+E(f317(f317(f223(x67151),f317(f94(x67151),x67152)),f317(f94(x67151),x67153)),f317(f94(x67151),x67152))+P1(f317(f317(f224(x67151),f317(f94(x67151),x67152)),f317(f94(x67151),x67153)))
% 92.29/92.11 [6721]E(x67211,f2(a897))+~P1(f317(f44(x67213,x67211),x67212))+~P1(f317(f317(f225(a897),f2(a897)),x67211))+P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x67212)))
% 92.29/92.11 [6728]~P1(f317(f317(f277(a897),x67281),x67283))+~P1(f317(f317(f277(a897),x67282),x67281))+~P1(f317(f317(f277(a897),x67283),x67282))+P1(f317(f317(f277(a897),x67281),x67282))
% 92.29/92.11 [6729]~P1(f317(f317(f277(a897),x67291),x67293))+~P1(f317(f317(f277(a897),x67292),x67291))+P1(f317(f317(f277(a897),x67291),x67292))+~P1(f317(f317(f277(a897),x67293),x67292))
% 92.29/92.11 [6775]P148(x67752,x67751,x67753)+E(x67751,f2(a1))+~P1(f317(x67752,f841(x67753,x67751,x67752)))+P1(f317(f317(f225(a1),f2(a1)),x67751))
% 92.29/92.11 [6776]P147(x67762,x67761,x67763)+E(x67761,f2(a1))+~P1(f317(x67762,f844(x67763,x67761,x67762)))+P1(f317(f317(f225(a1),f2(a1)),x67761))
% 92.29/92.11 [6780]P1(f317(x67801,x67802))+~P1(f317(f29(x67803),x67802))+P1(f317(x67801,f405(x67801,x67802,x67803)))+~P1(f317(x67801,f178(f904(x67803,a893))))
% 92.29/92.11 [6797]~P93(x67971)+~P3(x67971)+~E(f41(x67971,f317(f94(x67971),x67973),f317(f94(x67971),x67972)),f2(x67971))+P1(f317(f317(f277(x67971),f317(f94(x67971),x67972)),f317(f94(x67971),x67973)))
% 92.29/92.11 [6801]P1(f317(x68011,x68012))+P1(f317(f29(x68013),f405(x68011,x68012,x68013)))+~P1(f317(f29(x68013),x68012))+~P1(f317(x68011,f178(f904(x68013,a893))))
% 92.29/92.11 [6869]P147(x68691,x68692,x68693)+~P1(f317(x68691,x68693))+~P1(f317(x68691,f844(x68693,x68692,x68691)))+P1(f317(f317(f225(a1),f2(a1)),x68692))
% 92.29/92.11 [6899]P148(x68991,x68992,x68993)+~P1(f317(x68991,f841(x68993,x68992,x68991)))+~P1(f317(x68991,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x68992))
% 92.29/92.11 [6910]E(x69101,f2(a897))+~P1(f317(f44(x69103,x69101),x69102))+P1(f317(f317(f224(a897),f317(f246(a897,a897),x69102)),f2(a897)))+P1(f317(f317(f225(a897),f2(a897)),x69101))
% 92.29/92.11 [7010]~P94(x70103)+~P126(x70103)+~P1(f317(f317(f224(x70103),f317(f94(x70103),x70101)),f317(f94(x70103),x70102)))+P1(f317(f317(f224(a1),x70101),x70102))
% 92.29/92.11 [7011]~P94(x70113)+~P126(x70113)+~P1(f317(f317(f225(x70113),f317(f94(x70113),x70111)),f317(f94(x70113),x70112)))+P1(f317(f317(f225(a1),x70111),x70112))
% 92.29/92.11 [7039]~P107(x70391)+~P13(x70391,x70393)+P13(x70391,f317(f317(f141(x70391),x70392),x70393))+~P1(f317(f317(f224(x70391),x70392),f688(x70393,x70392,x70391)))
% 92.29/92.11 [7040]~P107(x70401)+~P13(x70401,x70403)+P13(x70401,f317(f317(f141(x70401),x70402),x70403))+~P1(f317(f317(f224(x70401),x70402),f690(x70403,x70402,x70401)))
% 92.29/92.11 [7041]~P107(x70411)+~P13(x70411,x70413)+P13(x70411,f317(f317(f141(x70411),x70412),x70413))+~P1(f317(f317(f224(x70411),x70412),f729(x70412,x70413,x70411)))
% 92.29/92.11 [7114]~P93(x71141)+~P3(x71141)+E(f41(x71141,f317(f94(x71141),x71142),f317(f94(x71141),x71143)),f2(x71141))+~P1(f317(f317(f277(x71141),f317(f94(x71141),x71143)),f317(f94(x71141),x71142)))
% 92.29/92.11 [7128]P148(x71282,x71281,x71283)+E(x71281,f2(a1))+P1(f317(f317(f225(a1),x71281),f2(a1)))+P1(f317(f317(f225(a1),f835(x71283,x71281,x71282)),x71281))
% 92.29/92.11 [7129]P147(x71292,x71291,x71293)+E(x71291,f2(a1))+P1(f317(f317(f225(a1),x71291),f2(a1)))+P1(f317(f317(f225(a1),f845(x71293,x71291,x71292)),x71291))
% 92.29/92.11 [7133]~P107(x71331)+~P93(x71331)+P1(f317(f317(f224(x71331),f317(f94(x71331),x71332)),f317(f94(x71331),x71333)))+P1(f317(f317(f225(x71331),f317(f94(x71331),x71333)),f317(f94(x71331),x71332)))
% 92.29/92.11 [7165]P148(x71652,x71651,x71653)+E(x71651,f2(a1))+P1(f317(f317(f224(a1),f834(x71653,x71651,x71652)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71651))
% 92.29/92.11 [7166]P147(x71662,x71661,x71663)+E(x71661,f2(a1))+P1(f317(f317(f224(a1),f844(x71663,x71661,x71662)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71661))
% 92.29/92.11 [7191]~P107(x71911)+~P13(x71911,x71913)+E(f317(f317(f138(x71911,x71911,f5(x71911)),x71912),f160(x71911,x71912,x71913)),x71913)+~P1(f317(f317(f319(x71911),x71912),f317(f162(x71911),x71913)))
% 92.29/92.11 [7238]P147(x72381,x72382,x72383)+~P1(f317(x72381,x72383))+P1(f317(f317(f225(a1),x72382),f2(a1)))+P1(f317(f317(f225(a1),f845(x72383,x72382,x72381)),x72382))
% 92.29/92.11 [7244]~P109(x72441)+~P93(x72441)+E(f317(f317(f228(x72441),f317(f94(x72441),x72442)),f317(f94(x72441),x72443)),f317(f94(x72441),x72442))+~P1(f317(f317(f224(x72441),f317(f94(x72441),x72442)),f317(f94(x72441),x72443)))
% 92.29/92.11 [7245]~P109(x72451)+~P93(x72451)+E(f317(f317(f223(x72451),f317(f94(x72451),x72452)),f317(f94(x72451),x72453)),f317(f94(x72451),x72453))+~P1(f317(f317(f224(x72451),f317(f94(x72451),x72452)),f317(f94(x72451),x72453)))
% 92.29/92.11 [7259]P148(x72591,x72592,x72593)+~P1(f317(x72591,f2(a1)))+P1(f317(f317(f225(a1),x72592),f2(a1)))+P1(f317(f317(f225(a1),f835(x72593,x72592,x72591)),x72592))
% 92.29/92.11 [7269]P147(x72691,x72692,x72693)+~P1(f317(x72691,x72693))+P1(f317(f317(f224(a1),f844(x72693,x72692,x72691)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72692))
% 92.29/92.11 [7293]P148(x72931,x72932,x72933)+~P1(f317(x72931,f2(a1)))+P1(f317(f317(f224(a1),f834(x72933,x72932,x72931)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72932))
% 92.29/92.11 [7319]~P1(f317(x73191,x73192))+P1(f317(x73191,f2(a897)))+~P1(f317(f317(f225(a897),x73192),x73193))+P1(f317(f317(f225(a897),f570(x73192,x73191,x73193)),x73193))
% 92.29/92.11 [7336]~P107(x73361)+~P13(x73361,x73363)+P13(x73361,f317(f317(f141(x73361),x73362),x73363))+P1(f317(f317(f319(x73361),f688(x73363,x73362,x73361)),f317(f162(x73361),x73363)))
% 92.29/92.11 [7337]~P107(x73371)+~P13(x73371,x73373)+P13(x73371,f317(f317(f141(x73371),x73372),x73373))+P1(f317(f317(f319(x73371),f690(x73373,x73372,x73371)),f317(f162(x73371),x73373)))
% 92.29/92.11 [7338]~P107(x73381)+~P13(x73381,x73383)+P13(x73381,f317(f317(f141(x73381),x73382),x73383))+P1(f317(f317(f319(x73381),f729(x73382,x73383,x73381)),f317(f162(x73381),x73383)))
% 92.29/92.11 [7454]~P107(x74541)+~P5(x74541)+~P1(f317(f317(f225(x74541),x74543),f32(x74541,x74542)))+P1(f317(f317(f319(x74541),f480(x74542,x74543,x74541)),x74542))
% 92.29/92.11 [7609]~P107(x76091)+~P5(x76091)+~P1(f317(f317(f225(x76091),f33(x76091,x76093)),x76092))+P1(f317(f317(f319(x76091),f484(x76092,x76093,x76091)),x76093))
% 92.29/92.11 [7610]~P107(x76101)+~P5(x76101)+~P1(f317(f317(f225(x76101),f33(x76101,x76103)),x76102))+P1(f317(f317(f225(x76101),f484(x76102,x76103,x76101)),x76102))
% 92.29/92.11 [7623]P148(x76232,x76231,x76233)+E(x76231,f2(a1))+P1(f317(f317(f225(a1),x76231),f834(x76233,x76231,x76232)))+P1(f317(f317(f225(a1),f835(x76233,x76231,x76232)),x76231))
% 92.29/92.11 [7624]P147(x76242,x76241,x76243)+E(x76241,f2(a1))+P1(f317(f317(f225(a1),x76241),f844(x76243,x76241,x76242)))+P1(f317(f317(f225(a1),f845(x76243,x76241,x76242)),x76241))
% 92.29/92.11 [7718]P148(x77183,x77181,x77182)+E(x77181,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77181),f841(x77182,x77181,x77183))),f834(x77182,x77181,x77183)),x77182)+P1(f317(f317(f225(a1),f2(a1)),x77181))
% 92.29/92.11 [7719]P147(x77193,x77191,x77192)+E(x77191,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77191),f846(x77192,x77191,x77193))),f844(x77192,x77191,x77193)),x77192)+P1(f317(f317(f225(a1),f2(a1)),x77191))
% 92.29/92.11 [7720]~P131(x77201)+~P1(f317(f317(f224(x77201),x77202),f2(x77201)))+P1(f317(f317(f224(x77201),f317(f317(f75(x77201),x77202),x77203)),f2(x77201)))+~P1(f317(f317(f224(x77201),f2(x77201)),x77203))
% 92.29/92.11 [7721]~P111(x77211)+~P1(f317(f317(f224(x77211),x77213),f2(x77211)))+P1(f317(f317(f224(x77211),f317(f317(f75(x77211),x77212),x77213)),f2(x77211)))+~P1(f317(f317(f224(x77211),f2(x77211)),x77212))
% 92.29/92.11 [7722]~P111(x77221)+~P1(f317(f317(f224(x77221),x77222),f2(x77221)))+P1(f317(f317(f224(x77221),f317(f317(f75(x77221),x77222),x77223)),f2(x77221)))+~P1(f317(f317(f224(x77221),f2(x77221)),x77223))
% 92.29/92.11 [7723]~P131(x77231)+~P1(f317(f317(f224(x77231),x77233),f2(x77231)))+P1(f317(f317(f224(x77231),f317(f317(f75(x77231),x77232),x77233)),f2(x77231)))+~P1(f317(f317(f224(x77231),f2(x77231)),x77232))
% 92.29/92.11 [7724]~P131(x77241)+~P1(f317(f317(f224(x77241),x77243),f2(x77241)))+P1(f317(f317(f224(x77241),f317(f317(f75(x77241),x77242),x77243)),f2(x77241)))+~P1(f317(f317(f224(x77241),f2(x77241)),x77242))
% 92.29/92.11 [7725]~P131(x77251)+~P1(f317(f317(f224(x77251),x77252),f2(x77251)))+P1(f317(f317(f224(x77251),f317(f317(f75(x77251),x77252),x77253)),f2(x77251)))+~P1(f317(f317(f224(x77251),f2(x77251)),x77253))
% 92.29/92.11 [7726]~P131(x77261)+~P1(f317(f317(f224(x77261),x77262),f2(x77261)))+P1(f317(f317(f224(x77261),f317(f317(f75(x77261),x77262),x77263)),f2(x77261)))+~P1(f317(f317(f224(x77261),f2(x77261)),x77263))
% 92.29/92.11 [7727]~P63(x77271)+~P1(f317(f317(f224(x77271),x77273),f2(x77271)))+P1(f317(f317(f224(x77271),f317(f317(f281(x77271),x77272),x77273)),f2(x77271)))+~P1(f317(f317(f224(x77271),f2(x77271)),x77272))
% 92.29/92.11 [7728]~P63(x77281)+~P1(f317(f317(f224(x77281),x77282),f2(x77281)))+P1(f317(f317(f224(x77281),f317(f317(f281(x77281),x77282),x77283)),f2(x77281)))+~P1(f317(f317(f224(x77281),f2(x77281)),x77283))
% 92.29/92.11 [7729]~P64(x77291)+~P1(f317(f317(f224(x77291),x77292),f2(x77291)))+P1(f317(f317(f224(x77291),f317(f317(f281(x77291),x77292),x77293)),f2(x77291)))+~P1(f317(f317(f225(x77291),f2(x77291)),x77293))
% 92.29/92.11 [7730]~P64(x77301)+~P1(f317(f317(f225(x77301),x77303),f2(x77301)))+P1(f317(f317(f224(x77301),f317(f317(f281(x77301),x77302),x77303)),f2(x77301)))+~P1(f317(f317(f224(x77301),f2(x77301)),x77302))
% 92.29/92.11 [7731]~P127(x77311)+~P1(f317(f317(f225(x77311),x77312),f2(x77311)))+P1(f317(f317(f225(x77311),f317(f317(f75(x77311),x77312),x77313)),f2(x77311)))+~P1(f317(f317(f225(x77311),f2(x77311)),x77313))
% 92.29/92.11 [7732]~P127(x77321)+~P1(f317(f317(f225(x77321),x77323),f2(x77321)))+P1(f317(f317(f225(x77321),f317(f317(f75(x77321),x77322),x77323)),f2(x77321)))+~P1(f317(f317(f225(x77321),f2(x77321)),x77322))
% 92.29/92.11 [7733]~P127(x77331)+~P1(f317(f317(f225(x77331),x77332),f2(x77331)))+P1(f317(f317(f225(x77331),f317(f317(f75(x77331),x77332),x77333)),f2(x77331)))+~P1(f317(f317(f225(x77331),f2(x77331)),x77333))
% 92.29/92.11 [7734]~P63(x77341)+~P1(f317(f317(f225(x77341),x77343),f2(x77341)))+P1(f317(f317(f225(x77341),f317(f317(f281(x77341),x77342),x77343)),f2(x77341)))+~P1(f317(f317(f225(x77341),f2(x77341)),x77342))
% 92.29/92.11 [7735]~P63(x77351)+~P1(f317(f317(f225(x77351),x77352),f2(x77351)))+P1(f317(f317(f225(x77351),f317(f317(f281(x77351),x77352),x77353)),f2(x77351)))+~P1(f317(f317(f225(x77351),f2(x77351)),x77353))
% 92.29/92.11 [7736]~P64(x77361)+~P1(f317(f317(f225(x77361),x77363),f2(x77361)))+P1(f317(f317(f225(x77361),f317(f317(f281(x77361),x77362),x77363)),f2(x77361)))+~P1(f317(f317(f225(x77361),f2(x77361)),x77362))
% 92.29/92.11 [7737]~P64(x77371)+~P1(f317(f317(f225(x77371),x77372),f2(x77371)))+P1(f317(f317(f225(x77371),f317(f317(f281(x77371),x77372),x77373)),f2(x77371)))+~P1(f317(f317(f225(x77371),f2(x77371)),x77373))
% 92.29/92.11 [7752]P147(x77521,x77522,x77523)+~P1(f317(x77521,x77523))+P1(f317(f317(f225(a1),x77522),f844(x77523,x77522,x77521)))+P1(f317(f317(f225(a1),f845(x77523,x77522,x77521)),x77522))
% 92.29/92.11 [7765]P148(x77651,x77652,x77653)+P1(f317(f317(f225(a1),x77652),f834(x77653,x77652,x77651)))+~P1(f317(x77651,f2(a1)))+P1(f317(f317(f225(a1),f835(x77653,x77652,x77651)),x77652))
% 92.29/92.11 [7817]P148(x78172,x78171,x78173)+E(x78171,f2(a1))+~P1(f317(x78172,f841(x78173,x78171,x78172)))+P1(f317(f317(f225(a1),f835(x78173,x78171,x78172)),x78171))
% 92.29/92.11 [7818]P147(x78182,x78181,x78183)+E(x78181,f2(a1))+~P1(f317(x78182,f844(x78183,x78181,x78182)))+P1(f317(f317(f225(a1),f845(x78183,x78181,x78182)),x78181))
% 92.29/92.11 [7828]P147(x78283,x78281,x78282)+~P1(f317(x78283,x78282))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78281),f846(x78282,x78281,x78283))),f844(x78282,x78281,x78283)),x78282)+P1(f317(f317(f225(a1),f2(a1)),x78281))
% 92.29/92.11 [7843]P148(x78433,x78431,x78432)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78431),f841(x78432,x78431,x78433))),f834(x78432,x78431,x78433)),x78432)+~P1(f317(x78433,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78431))
% 92.29/92.11 [7871]~P1(f317(x78711,x78713))+~P1(f317(f29(x78712),x78713))+P1(f317(f317(f319(x78712),f351(x78711,x78713,x78712)),f350(x78711,x78713,x78712)))+P1(f317(x78711,f178(f904(x78712,a893))))
% 92.29/92.11 [7883]P147(x78831,x78832,x78833)+~P1(f317(x78831,x78833))+~P1(f317(x78831,f844(x78833,x78832,x78831)))+P1(f317(f317(f225(a1),f845(x78833,x78832,x78831)),x78832))
% 92.29/92.11 [7889]P148(x78891,x78892,x78893)+~P1(f317(x78891,f841(x78893,x78892,x78891)))+~P1(f317(x78891,f2(a1)))+P1(f317(f317(f225(a1),f835(x78893,x78892,x78891)),x78892))
% 92.29/92.11 [7955]~P93(x79551)+~P107(x79551)+~P1(f317(f317(f224(x79551),f317(f94(x79551),x79552)),f317(f94(x79551),x79553)))+~P1(f317(f317(f225(x79551),f317(f94(x79551),x79553)),f317(f94(x79551),x79552)))
% 92.29/92.11 [7991]~P111(x79911)+~P1(f317(f317(f224(x79911),f317(f317(f75(x79911),x79913),x79912)),f2(x79911)))+P1(f317(f317(f224(x79911),x79912),f2(x79911)))+P1(f317(f317(f224(x79911),f2(x79911)),x79912))
% 92.29/92.11 [7992]~P111(x79921)+~P1(f317(f317(f224(x79921),f317(f317(f75(x79921),x79922),x79923)),f2(x79921)))+P1(f317(f317(f224(x79921),x79922),f2(x79921)))+P1(f317(f317(f224(x79921),f2(x79921)),x79922))
% 92.29/92.11 [7993]~P63(x79931)+~P1(f317(f317(f224(x79931),f317(f317(f281(x79931),x79933),x79932)),f2(x79931)))+P1(f317(f317(f224(x79931),x79932),f2(x79931)))+P1(f317(f317(f224(x79931),f2(x79931)),x79932))
% 92.29/92.11 [7994]~P63(x79941)+~P1(f317(f317(f224(x79941),f317(f317(f281(x79941),x79942),x79943)),f2(x79941)))+P1(f317(f317(f224(x79941),x79942),f2(x79941)))+P1(f317(f317(f224(x79941),f2(x79941)),x79942))
% 92.29/92.11 [7995]~P63(x79951)+~P1(f317(f317(f225(x79951),f317(f317(f281(x79951),x79953),x79952)),f2(x79951)))+P1(f317(f317(f225(x79951),x79952),f2(x79951)))+P1(f317(f317(f225(x79951),f2(x79951)),x79952))
% 92.29/92.11 [7996]~P63(x79961)+~P1(f317(f317(f225(x79961),f317(f317(f281(x79961),x79962),x79963)),f2(x79961)))+P1(f317(f317(f225(x79961),x79962),f2(x79961)))+P1(f317(f317(f225(x79961),f2(x79961)),x79962))
% 92.29/92.11 [8020]~P111(x80201)+~P1(f317(f317(f224(x80201),f317(f317(f75(x80201),x80202),x80203)),f2(x80201)))+P1(f317(f317(f224(x80201),f2(x80201)),x80202))+P1(f317(f317(f224(x80201),f2(x80201)),x80203))
% 92.29/92.11 [8021]~P63(x80211)+~P1(f317(f317(f224(x80211),f317(f317(f281(x80211),x80212),x80213)),f2(x80211)))+P1(f317(f317(f224(x80211),f2(x80211)),x80212))+P1(f317(f317(f224(x80211),f2(x80211)),x80213))
% 92.29/92.11 [8022]~P63(x80221)+~P1(f317(f317(f225(x80221),f317(f317(f281(x80221),x80222),x80223)),f2(x80221)))+P1(f317(f317(f225(x80221),f2(x80221)),x80222))+P1(f317(f317(f225(x80221),f2(x80221)),x80223))
% 92.29/92.11 [8044]P148(x80442,x80441,x80443)+E(x80441,f2(a1))+P1(f317(f317(f224(a1),f834(x80443,x80441,x80442)),f2(a1)))+P1(f317(f317(f225(a1),f835(x80443,x80441,x80442)),x80441))
% 92.29/92.11 [8045]P147(x80452,x80451,x80453)+E(x80451,f2(a1))+P1(f317(f317(f224(a1),f844(x80453,x80451,x80452)),f2(a1)))+P1(f317(f317(f225(a1),f845(x80453,x80451,x80452)),x80451))
% 92.29/92.11 [8052]~P110(x80521)+~P1(f317(f317(f225(x80521),x80522),f72(x80521)))+P1(f317(f317(f225(x80521),f317(f317(f234(x80521),x80522),f317(a102,x80523))),f72(x80521)))+~P1(f317(f317(f225(x80521),f2(x80521)),x80522))
% 92.29/92.11 [8105]~P107(x81051)+~E(x81053,f103(x81051))+~P13(x81051,f317(f158(x81051),x81053))+E(f317(f132(x81051,x81051,f317(f7(x81051,x81051,x81051),f223(x81051)),x81052),f317(f158(x81051),x81053)),x81052)
% 92.29/92.11 [8108]P147(x81081,x81082,x81083)+~P1(f317(x81081,x81083))+P1(f317(f317(f224(a1),f844(x81083,x81082,x81081)),f2(a1)))+P1(f317(f317(f225(a1),f845(x81083,x81082,x81081)),x81082))
% 92.29/92.11 [8115]P148(x81151,x81152,x81153)+~P1(f317(x81151,f2(a1)))+P1(f317(f317(f224(a1),f834(x81153,x81152,x81151)),f2(a1)))+P1(f317(f317(f225(a1),f835(x81153,x81152,x81151)),x81152))
% 92.29/92.11 [8333]P148(x83333,x83331,x83332)+E(x83331,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83331),f841(x83332,x83331,x83333))),f834(x83332,x83331,x83333)),x83332)+P1(f317(f317(f225(a1),f835(x83332,x83331,x83333)),x83331))
% 92.29/92.11 [8334]P147(x83343,x83341,x83342)+E(x83341,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83341),f846(x83342,x83341,x83343))),f844(x83342,x83341,x83343)),x83342)+P1(f317(f317(f225(a1),f845(x83342,x83341,x83343)),x83341))
% 92.29/92.11 [8370]P147(x83703,x83701,x83702)+~P1(f317(x83703,x83702))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83701),f846(x83702,x83701,x83703))),f844(x83702,x83701,x83703)),x83702)+P1(f317(f317(f225(a1),f845(x83702,x83701,x83703)),x83701))
% 92.29/92.11 [8371]~P76(x83711)+~P77(x83711)+~P39(x83713)+E(f317(f317(f9(a897,x83711),f317(f317(f8(a1,x83711,a897),x83712),f90(a1))),f317(f300(a1,a897,a95),x83713)),f317(f317(f9(a1,x83711),x83712),x83713))
% 92.29/92.11 [8372]~P76(x83721)+~P77(x83721)+~P39(x83723)+E(f317(f317(f6(a897,x83721),f317(f317(f8(a1,x83721,a897),x83722),f90(a1))),f317(f300(a1,a897,a95),x83723)),f317(f317(f6(a1,x83721),x83722),x83723))
% 92.29/92.11 [8381]P148(x83813,x83811,x83812)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83811),f841(x83812,x83811,x83813))),f834(x83812,x83811,x83813)),x83812)+~P1(f317(x83813,f2(a1)))+P1(f317(f317(f225(a1),f835(x83812,x83811,x83813)),x83811))
% 92.29/92.11 [8403]~E(x84032,f2(a897))+~E(f317(f241(a897,a897),x84033),f2(a897))+~E(x84031,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x84033)),x84032)),f317(f246(a897,a897),x84033)))+P1(f317(f44(x84031,x84032),x84033))
% 92.29/92.11 [8460]P1(f317(x84601,x84602))+~P1(f317(f317(f319(x84603),f386(x84601,x84602,x84603)),f405(x84601,x84602,x84603)))+~P1(f317(f29(x84603),x84602))+~P1(f317(x84601,f178(f904(x84603,a893))))
% 92.29/92.11 [9084]P1(f317(x90841,x90842))+~P1(f317(f29(x90843),x90842))+~P1(f317(x90841,f317(f317(f299(x90843),f386(x90841,x90842,x90843)),f405(x90841,x90842,x90843))))+~P1(f317(x90841,f178(f904(x90843,a893))))
% 92.29/92.11 [9317]P1(f317(f317(f224(a1),x93171),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x93173),x93171)),x93172)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x93172))+~P1(f317(f317(f225(a1),f2(a1)),x93173))
% 92.29/92.11 [5872]~P107(x58722)+E(x58721,f178(f904(x58722,a893)))+~P1(f317(f29(x58722),x58721))+E(f14(x58722,f317(f317(f299(x58722),x58723),x58721)),f317(f317(f228(x58722),x58723),f14(x58722,x58721)))
% 92.29/92.11 [5873]~P107(x58732)+E(x58731,f178(f904(x58732,a893)))+~P1(f317(f29(x58732),x58731))+E(f15(x58732,f317(f317(f299(x58732),x58733),x58731)),f317(f317(f223(x58732),x58733),f15(x58732,x58731)))
% 92.29/92.11 [5874]~P99(x58742)+E(x58741,f178(f904(x58742,a893)))+~P1(f317(f29(x58742),x58741))+E(f13(x58742,f317(f317(f299(x58742),x58743),x58741)),f317(f317(f91(x58742),x58743),f13(x58742,x58741)))
% 92.29/92.11 [5875]~P99(x58752)+E(x58751,f178(f904(x58752,a893)))+~P1(f317(f29(x58752),x58751))+E(f10(x58752,f317(f317(f299(x58752),x58753),x58751)),f317(f317(f92(x58752),x58753),f10(x58752,x58751)))
% 92.29/92.11 [6206]~P111(x62061)+~E(x62063,f2(x62061))+~E(x62062,f2(x62061))+E(f317(f317(f74(x62061),f317(f317(f75(x62061),x62062),x62062)),f317(f317(f75(x62061),x62063),x62063)),f2(x62061))
% 92.29/92.11 [6280]~P97(x62802)+E(x62801,f178(f904(x62802,a893)))+~P1(f317(f29(x62802),x62801))+E(f317(f58(x62802,f75(x62802)),f317(f317(f299(x62802),x62803),x62801)),f317(f317(f75(x62802),x62803),f317(f58(x62802,f75(x62802)),x62801)))
% 92.29/92.11 [6411]~P107(x64112)+E(x64111,f178(f904(x64112,a893)))+~P1(f317(f29(x64112),x64111))+E(f11(x64112,f228(x64112),f317(f317(f299(x64112),x64113),x64111)),f317(f317(f228(x64112),x64113),f11(x64112,f228(x64112),x64111)))
% 92.29/92.11 [6412]~P107(x64122)+E(x64121,f178(f904(x64122,a893)))+~P1(f317(f29(x64122),x64121))+E(f12(x64122,f223(x64122),f317(f317(f299(x64122),x64123),x64121)),f317(f317(f223(x64122),x64123),f12(x64122,f223(x64122),x64121)))
% 92.29/92.11 [6819]~P107(x68191)+~P1(f317(f29(x68191),x68193))+E(f317(f317(f59(x68191,x68191,f228(x68191)),x68192),x68193),f14(x68191,f317(f317(f299(x68191),x68192),x68193)))+P1(f317(f317(f319(x68191),x68192),x68193))
% 92.29/92.11 [6820]~P107(x68201)+~P1(f317(f29(x68201),x68203))+E(f317(f317(f59(x68201,x68201,f223(x68201)),x68202),x68203),f15(x68201,f317(f317(f299(x68201),x68202),x68203)))+P1(f317(f317(f319(x68201),x68202),x68203))
% 92.29/92.11 [6821]~P99(x68211)+~P1(f317(f29(x68211),x68213))+E(f317(f317(f59(x68211,x68211,f91(x68211)),x68212),x68213),f13(x68211,f317(f317(f299(x68211),x68212),x68213)))+P1(f317(f317(f319(x68211),x68212),x68213))
% 92.29/92.11 [6822]~P99(x68221)+~P1(f317(f29(x68221),x68223))+E(f317(f317(f59(x68221,x68221,f92(x68221)),x68222),x68223),f10(x68221,f317(f317(f299(x68221),x68222),x68223)))+P1(f317(f317(f319(x68221),x68222),x68223))
% 92.29/92.11 [6933]~P73(x69331)+~P1(f317(f29(x69331),x69333))+E(f317(f58(x69331,f75(x69331)),f317(f317(f299(x69331),x69332),x69333)),f317(f317(f59(x69331,x69331,f75(x69331)),x69332),x69333))+P1(f317(f317(f319(x69331),x69332),x69333))
% 92.29/92.11 [6948]~P107(x69481)+~P1(f317(f29(x69481),x69483))+E(f11(x69481,f228(x69481),f317(f317(f299(x69481),x69482),x69483)),f317(f317(f59(x69481,x69481,f228(x69481)),x69482),x69483))+P1(f317(f317(f319(x69481),x69482),x69483))
% 92.29/92.11 [6949]~P107(x69491)+~P1(f317(f29(x69491),x69493))+E(f12(x69491,f223(x69491),f317(f317(f299(x69491),x69492),x69493)),f317(f317(f59(x69491,x69491,f223(x69491)),x69492),x69493))+P1(f317(f317(f319(x69491),x69492),x69493))
% 92.29/92.11 [7017]~E(f317(f317(f74(a1),x70172),f317(f317(f75(a1),x70173),x70171)),x70173)+~P1(f317(f317(f225(a1),f2(a1)),x70173))+P1(f317(f317(f224(a1),f72(a1)),x70171))+~P1(f317(f317(f225(a1),x70172),x70173))
% 92.29/92.11 [7046]~E(f317(f317(f74(a1),x70462),f317(f317(f75(a1),x70463),x70461)),x70463)+P1(f317(f317(f224(a1),x70461),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x70462))+~P1(f317(f317(f225(a1),f2(a1)),x70463))
% 92.29/92.11 [7064]E(x70641,f2(a897))+~P1(f317(f44(x70643,x70641),x70642))+~P1(f317(f317(f225(a897),f2(a897)),x70641))+P1(f317(f317(f225(a897),f317(f246(a897,a897),x70642)),x70641))
% 92.29/92.11 [7095]~P137(x70951)+~P1(f317(f317(f224(x70951),x70952),f2(x70951)))+~P1(f317(f317(f224(x70951),x70953),f2(x70951)))+E(f317(f317(f75(x70951),f317(f70(x70951),x70952)),f317(f70(x70951),x70953)),f317(f70(x70951),f317(f317(f75(x70951),x70952),x70953)))
% 92.29/92.11 [7142]~P137(x71421)+~P1(f317(f317(f224(x71421),x71422),f2(x71421)))+E(f317(f317(f75(x71421),f317(f70(x71421),x71422)),f317(f70(x71421),x71423)),f317(f70(x71421),f317(f317(f75(x71421),x71422),x71423)))+~P1(f317(f317(f224(x71421),f2(x71421)),x71423))
% 92.29/92.11 [7143]~P137(x71431)+~P1(f317(f317(f224(x71431),x71433),f2(x71431)))+E(f317(f317(f75(x71431),f317(f70(x71431),x71432)),f317(f70(x71431),x71433)),f317(f70(x71431),f317(f317(f75(x71431),x71432),x71433)))+~P1(f317(f317(f224(x71431),f2(x71431)),x71432))
% 92.29/92.11 [7199]~P137(x71991)+E(f317(f317(f75(x71991),f317(f70(x71991),x71992)),f317(f70(x71991),x71993)),f317(f70(x71991),f317(f317(f75(x71991),x71992),x71993)))+~P1(f317(f317(f224(x71991),f2(x71991)),x71992))+~P1(f317(f317(f224(x71991),f2(x71991)),x71993))
% 92.29/92.11 [7215]~P111(x72151)+~P1(f317(f317(f224(x72151),x72153),f2(x72151)))+~P1(f317(f317(f224(x72151),x72152),f2(x72151)))+P1(f317(f317(f224(x72151),f2(x72151)),f317(f317(f75(x72151),x72152),x72153)))
% 92.29/92.11 [7216]~P134(x72161)+~P1(f317(f317(f224(x72161),x72163),f2(x72161)))+~P1(f317(f317(f224(x72161),x72162),f2(x72161)))+P1(f317(f317(f224(x72161),f2(x72161)),f317(f317(f75(x72161),x72162),x72163)))
% 92.29/92.11 [7217]~P134(x72171)+~P1(f317(f317(f224(x72171),x72173),f2(x72171)))+~P1(f317(f317(f224(x72171),x72172),f2(x72171)))+P1(f317(f317(f224(x72171),f2(x72171)),f317(f317(f75(x72171),x72172),x72173)))
% 92.29/92.11 [7218]~P63(x72181)+~P1(f317(f317(f224(x72181),x72183),f2(x72181)))+~P1(f317(f317(f224(x72181),x72182),f2(x72181)))+P1(f317(f317(f224(x72181),f2(x72181)),f317(f317(f281(x72181),x72182),x72183)))
% 92.29/92.11 [7219]~P64(x72191)+~P1(f317(f317(f225(x72191),x72193),f2(x72191)))+~P1(f317(f317(f224(x72191),x72192),f2(x72191)))+P1(f317(f317(f224(x72191),f2(x72191)),f317(f317(f281(x72191),x72192),x72193)))
% 92.29/92.11 [7220]~P111(x72201)+~P1(f317(f317(f225(x72201),x72203),f2(x72201)))+~P1(f317(f317(f225(x72201),x72202),f2(x72201)))+P1(f317(f317(f225(x72201),f2(x72201)),f317(f317(f75(x72201),x72202),x72203)))
% 92.29/92.11 [7221]~P63(x72211)+~P1(f317(f317(f225(x72211),x72213),f2(x72211)))+~P1(f317(f317(f225(x72211),x72212),f2(x72211)))+P1(f317(f317(f225(x72211),f2(x72211)),f317(f317(f281(x72211),x72212),x72213)))
% 92.29/92.11 [7222]~P64(x72221)+~P1(f317(f317(f225(x72221),x72223),f2(x72221)))+~P1(f317(f317(f225(x72221),x72222),f2(x72221)))+P1(f317(f317(f225(x72221),f2(x72221)),f317(f317(f281(x72221),x72222),x72223)))
% 92.29/92.11 [7223]~P110(x72231)+~P1(f317(f317(f225(a897),f2(a897)),x72233))+~P1(f317(f317(f225(x72231),f72(x72231)),x72232))+P1(f317(f317(f225(x72231),f72(x72231)),f317(f317(f234(x72231),x72232),x72233)))
% 92.29/92.11 [7320]~P88(x73201)+~P1(f317(f317(f224(x73201),f2(x73201)),x73203))+~P1(f317(f317(f224(x73201),f2(x73201)),x73202))+P1(f317(f317(f224(x73201),f2(x73201)),f317(f317(f74(x73201),x73202),x73203)))
% 92.29/92.11 [7321]~P111(x73211)+~P1(f317(f317(f224(x73211),f2(x73211)),x73213))+~P1(f317(f317(f224(x73211),f2(x73211)),x73212))+P1(f317(f317(f224(x73211),f2(x73211)),f317(f317(f75(x73211),x73212),x73213)))
% 92.29/92.11 [7322]~P131(x73221)+~P1(f317(f317(f224(x73221),f2(x73221)),x73223))+~P1(f317(f317(f224(x73221),f2(x73221)),x73222))+P1(f317(f317(f224(x73221),f2(x73221)),f317(f317(f75(x73221),x73222),x73223)))
% 92.29/92.11 [7323]~P134(x73231)+~P1(f317(f317(f224(x73231),f2(x73231)),x73233))+~P1(f317(f317(f224(x73231),f2(x73231)),x73232))+P1(f317(f317(f224(x73231),f2(x73231)),f317(f317(f75(x73231),x73232),x73233)))
% 92.29/92.11 [7324]~P63(x73241)+~P1(f317(f317(f224(x73241),f2(x73241)),x73243))+~P1(f317(f317(f224(x73241),f2(x73241)),x73242))+P1(f317(f317(f224(x73241),f2(x73241)),f317(f317(f281(x73241),x73242),x73243)))
% 92.29/92.11 [7325]~P64(x73251)+~P1(f317(f317(f225(x73251),f2(x73251)),x73253))+~P1(f317(f317(f224(x73251),f2(x73251)),x73252))+P1(f317(f317(f224(x73251),f2(x73251)),f317(f317(f281(x73251),x73252),x73253)))
% 92.29/92.11 [7326]~P110(x73261)+~P1(f317(f317(f225(x73261),f72(x73261)),x73263))+~P1(f317(f317(f225(x73261),f72(x73261)),x73262))+P1(f317(f317(f225(x73261),f72(x73261)),f317(f317(f75(x73261),x73262),x73263)))
% 92.29/92.11 [7327]~P88(x73271)+~P1(f317(f317(f224(x73271),f2(x73271)),x73273))+~P1(f317(f317(f225(x73271),f2(x73271)),x73272))+P1(f317(f317(f225(x73271),f2(x73271)),f317(f317(f74(x73271),x73272),x73273)))
% 92.29/92.11 [7328]~P88(x73281)+~P1(f317(f317(f224(x73281),f2(x73281)),x73282))+~P1(f317(f317(f225(x73281),f2(x73281)),x73283))+P1(f317(f317(f225(x73281),f2(x73281)),f317(f317(f74(x73281),x73282),x73283)))
% 92.29/92.11 [7329]~P88(x73291)+~P1(f317(f317(f225(x73291),f2(x73291)),x73293))+~P1(f317(f317(f225(x73291),f2(x73291)),x73292))+P1(f317(f317(f225(x73291),f2(x73291)),f317(f317(f74(x73291),x73292),x73293)))
% 92.29/92.11 [7330]~P127(x73301)+~P1(f317(f317(f225(x73301),f2(x73301)),x73303))+~P1(f317(f317(f225(x73301),f2(x73301)),x73302))+P1(f317(f317(f225(x73301),f2(x73301)),f317(f317(f75(x73301),x73302),x73303)))
% 92.29/92.11 [7331]~P63(x73311)+~P1(f317(f317(f225(x73311),f2(x73311)),x73313))+~P1(f317(f317(f225(x73311),f2(x73311)),x73312))+P1(f317(f317(f225(x73311),f2(x73311)),f317(f317(f281(x73311),x73312),x73313)))
% 92.29/92.11 [7332]~P64(x73321)+~P1(f317(f317(f225(x73321),f2(x73321)),x73323))+~P1(f317(f317(f225(x73321),f2(x73321)),x73322))+P1(f317(f317(f225(x73321),f2(x73321)),f317(f317(f281(x73321),x73322),x73323)))
% 92.29/92.11 [7411]~P107(x74111)+~P1(f317(f29(x74111),x74113))+E(f14(x74111,f317(f317(f299(x74111),x74112),x74113)),x74112)+~E(f317(f317(f23(f904(x74111,a893)),x74113),f317(f317(f299(x74111),x74112),f178(f904(x74111,a893)))),f178(f904(x74111,a893)))
% 92.29/92.11 [7412]~P107(x74121)+~P1(f317(f29(x74121),x74123))+E(f15(x74121,f317(f317(f299(x74121),x74122),x74123)),x74122)+~E(f317(f317(f23(f904(x74121,a893)),x74123),f317(f317(f299(x74121),x74122),f178(f904(x74121,a893)))),f178(f904(x74121,a893)))
% 92.29/92.11 [7413]~P99(x74131)+~P1(f317(f29(x74131),x74133))+E(f13(x74131,f317(f317(f299(x74131),x74132),x74133)),x74132)+~E(f317(f317(f23(f904(x74131,a893)),x74133),f317(f317(f299(x74131),x74132),f178(f904(x74131,a893)))),f178(f904(x74131,a893)))
% 92.29/92.11 [7414]~P99(x74141)+~P1(f317(f29(x74141),x74143))+E(f10(x74141,f317(f317(f299(x74141),x74142),x74143)),x74142)+~E(f317(f317(f23(f904(x74141,a893)),x74143),f317(f317(f299(x74141),x74142),f178(f904(x74141,a893)))),f178(f904(x74141,a893)))
% 92.29/92.11 [7416]~P111(x74161)+P1(f317(f317(f224(x74161),x74162),f2(x74161)))+P1(f317(f317(f224(x74161),f2(x74161)),x74163))+~P1(f317(f317(f224(x74161),f2(x74161)),f317(f317(f75(x74161),x74163),x74162)))
% 92.29/92.11 [7417]~P111(x74171)+P1(f317(f317(f224(x74171),x74172),f2(x74171)))+P1(f317(f317(f224(x74171),f2(x74171)),x74173))+~P1(f317(f317(f224(x74171),f2(x74171)),f317(f317(f75(x74171),x74172),x74173)))
% 92.29/92.11 [7418]~P63(x74181)+P1(f317(f317(f224(x74181),x74182),f2(x74181)))+P1(f317(f317(f224(x74181),f2(x74181)),x74183))+~P1(f317(f317(f224(x74181),f2(x74181)),f317(f317(f281(x74181),x74183),x74182)))
% 92.29/92.11 [7419]~P63(x74191)+P1(f317(f317(f224(x74191),x74192),f2(x74191)))+P1(f317(f317(f224(x74191),f2(x74191)),x74193))+~P1(f317(f317(f224(x74191),f2(x74191)),f317(f317(f281(x74191),x74192),x74193)))
% 92.29/92.11 [7420]~P111(x74201)+P1(f317(f317(f224(x74201),x74202),f2(x74201)))+P1(f317(f317(f224(x74201),f2(x74201)),x74202))+~P1(f317(f317(f224(x74201),f2(x74201)),f317(f317(f75(x74201),x74203),x74202)))
% 92.29/92.11 [7421]~P111(x74211)+P1(f317(f317(f224(x74211),x74212),f2(x74211)))+P1(f317(f317(f224(x74211),f2(x74211)),x74212))+~P1(f317(f317(f224(x74211),f2(x74211)),f317(f317(f75(x74211),x74212),x74213)))
% 92.29/92.11 [7422]~P63(x74221)+P1(f317(f317(f224(x74221),x74222),f2(x74221)))+P1(f317(f317(f224(x74221),f2(x74221)),x74222))+~P1(f317(f317(f224(x74221),f2(x74221)),f317(f317(f281(x74221),x74223),x74222)))
% 92.29/92.11 [7423]~P63(x74231)+P1(f317(f317(f224(x74231),x74232),f2(x74231)))+P1(f317(f317(f224(x74231),f2(x74231)),x74232))+~P1(f317(f317(f224(x74231),f2(x74231)),f317(f317(f281(x74231),x74232),x74233)))
% 92.29/92.11 [7424]~P63(x74241)+P1(f317(f317(f225(x74241),x74242),f2(x74241)))+P1(f317(f317(f225(x74241),f2(x74241)),x74243))+~P1(f317(f317(f225(x74241),f2(x74241)),f317(f317(f281(x74241),x74243),x74242)))
% 92.29/92.11 [7425]~P63(x74251)+P1(f317(f317(f225(x74251),x74252),f2(x74251)))+P1(f317(f317(f225(x74251),f2(x74251)),x74253))+~P1(f317(f317(f225(x74251),f2(x74251)),f317(f317(f281(x74251),x74252),x74253)))
% 92.29/92.11 [7426]~P63(x74261)+P1(f317(f317(f225(x74261),x74262),f2(x74261)))+P1(f317(f317(f225(x74261),f2(x74261)),x74262))+~P1(f317(f317(f225(x74261),f2(x74261)),f317(f317(f281(x74261),x74263),x74262)))
% 92.29/92.11 [7427]~P63(x74271)+P1(f317(f317(f225(x74271),x74272),f2(x74271)))+P1(f317(f317(f225(x74271),f2(x74271)),x74272))+~P1(f317(f317(f225(x74271),f2(x74271)),f317(f317(f281(x74271),x74272),x74273)))
% 92.29/92.11 [7500]~P1(f317(f317(f277(a897),x75001),x75003))+P1(f317(f317(f277(a897),x75001),x75002))+~P1(f317(f317(f224(a897),x75002),x75003))+~P1(f317(f317(f277(a897),x75001),f317(f317(f23(a897),x75003),x75002)))
% 92.29/92.11 [7501]~P1(f317(f317(f277(a897),x75011),x75013))+P1(f317(f317(f277(a897),x75011),x75012))+~P1(f317(f317(f224(a897),x75013),x75012))+~P1(f317(f317(f277(a897),x75011),f317(f317(f23(a897),x75012),x75013)))
% 92.29/92.11 [7516]~E(f317(f317(f92(f904(x75161,a893)),f317(f162(x75161),x75162)),f317(f162(x75161),x75163)),f178(f904(x75161,a893)))+~P1(f317(f127(x75161),x75163))+~P1(f317(f127(x75161),x75162))+P1(f317(f127(x75161),f317(f317(f124(x75161),x75162),x75163)))
% 92.29/92.11 [7517]~P107(x75171)+~P1(f317(f29(x75171),x75173))+E(f11(x75171,f228(x75171),f317(f317(f299(x75171),x75172),x75173)),x75172)+~E(f317(f317(f23(f904(x75171,a893)),x75173),f317(f317(f299(x75171),x75172),f178(f904(x75171,a893)))),f178(f904(x75171,a893)))
% 92.29/92.11 [7518]~P107(x75181)+~P1(f317(f29(x75181),x75183))+E(f12(x75181,f223(x75181),f317(f317(f299(x75181),x75182),x75183)),x75182)+~E(f317(f317(f23(f904(x75181,a893)),x75183),f317(f317(f299(x75181),x75182),f178(f904(x75181,a893)))),f178(f904(x75181,a893)))
% 92.29/92.11 [7530]~P85(x75301)+~P1(f317(f317(f224(x75301),x75302),x75303))+~P1(f317(f317(f224(x75301),f317(f73(x75301),x75302)),x75303))+P1(f317(f317(f224(x75301),f317(f70(x75301),x75302)),x75303))
% 92.29/92.11 [7531]~P85(x75311)+~P1(f317(f317(f224(x75311),x75312),x75313))+~P1(f317(f317(f224(x75311),f317(f73(x75311),x75312)),x75313))+P1(f317(f317(f224(x75311),f317(f70(x75311),x75312)),x75313))
% 92.29/92.11 [7532]~P126(x75321)+~P1(f317(f317(f225(x75321),x75322),x75323))+~P1(f317(f317(f225(x75321),f317(f73(x75321),x75322)),x75323))+P1(f317(f317(f225(x75321),f317(f70(x75321),x75322)),x75323))
% 92.29/92.11 [7598]~P127(x75981)+P1(f317(f317(f225(x75981),f2(x75981)),x75982))+~P1(f317(f317(f225(x75981),f2(x75981)),x75983))+~P1(f317(f317(f225(x75981),f2(x75981)),f317(f317(f75(x75981),x75983),x75982)))
% 92.29/92.11 [7599]~P127(x75991)+P1(f317(f317(f225(x75991),f2(x75991)),x75992))+~P1(f317(f317(f225(x75991),f2(x75991)),x75993))+~P1(f317(f317(f225(x75991),f2(x75991)),f317(f317(f75(x75991),x75992),x75993)))
% 92.29/92.11 [7903]E(x79031,x79032)+~P1(f317(f29(x79033),x79031))+~P1(f317(f317(f224(a897),f317(f30(x79033),x79031)),f317(f30(x79033),x79032)))+~P1(f317(f317(f224(f904(x79033,a893)),x79032),x79031))
% 92.29/92.11 [7971]~P1(f317(f317(f224(a897),x79712),x79711))+~P1(f317(f317(f224(a897),x79712),x79713))+~P1(f317(f317(f224(a897),x79711),x79713))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x79711),x79712)),f317(f317(f23(a897),x79713),x79712)))
% 92.29/92.11 [7972]~P1(f317(f317(f224(a897),x79722),x79721))+~P1(f317(f317(f224(a897),x79722),x79723))+~P1(f317(f317(f225(a897),x79721),x79723))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x79721),x79722)),f317(f317(f23(a897),x79723),x79722)))
% 92.29/92.11 [8049]~P1(f317(f317(f225(a1),x80491),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x80492))+~P1(f317(f317(f224(a1),x80492),x80493))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x80491),x80492)),f317(f317(f31(a1),x80491),x80493)))
% 92.29/92.11 [8059]~P1(f317(f317(f224(a1),f2(a1)),x80591))+~P1(f317(f317(f225(a1),f2(a1)),x80593))+~P1(f317(f317(f224(a1),x80593),x80592))+P1(f317(f317(f224(a1),f317(f317(f31(a1),x80591),x80592)),f317(f317(f31(a1),x80591),x80593)))
% 92.29/92.11 [8193]E(f317(x81931,f500(x81932,x81931,x81933)),x81932)+~P1(f317(f317(f224(a1),x81932),f317(x81931,x81933)))+P1(f317(f317(f225(a897),f501(x81932,x81931,x81933)),x81933))+~P1(f317(f317(f224(a1),f317(x81931,f2(a897))),x81932))
% 92.29/92.11 [8194]E(f317(x81941,f512(x81942,x81941,x81943)),x81942)+~P1(f317(f317(f224(a1),x81942),f317(x81941,x81943)))+P1(f317(f317(f225(a897),f513(x81942,x81941,x81943)),x81943))+~P1(f317(f317(f224(a1),f317(x81941,f2(a897))),x81942))
% 92.29/92.11 [8296]~P1(f317(f29(x82961),x82963))+~P1(f317(f317(f225(a897),f317(f30(x82961),x82962)),f317(f30(x82961),x82963)))+~P1(f317(f317(f224(f904(x82961,a893)),x82962),x82963))+P1(f317(f317(f225(f904(x82961,a893)),x82962),x82963))
% 92.29/92.11 [8323]E(f317(f317(f74(a1),f377(x83233,x83231,x83232)),f378(x83233,x83231,x83232)),x83231)+E(f317(f317(f23(a1),x83231),x83232),x83231)+~P1(f317(f317(f225(a1),f2(a1)),x83232))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x83231),f72(a1))),x83233))
% 92.29/92.11 [8324]E(f317(f317(f23(a1),f384(x83243,x83241,x83242)),f385(x83243,x83241,x83242)),x83241)+E(f317(f317(f74(a1),x83241),x83242),x83241)+~P1(f317(f317(f225(a1),f2(a1)),x83242))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x83241),f72(a1))),x83243))
% 92.29/92.11 [8376]~P1(f317(f317(f224(a897),x83763),x83761))+P1(f317(f317(f224(a897),x83761),x83762))+~P1(f317(f317(f224(a897),x83763),x83762))+~P1(f317(f317(f224(a897),f317(f317(f23(a897),x83761),x83763)),f317(f317(f23(a897),x83762),x83763)))
% 92.29/92.11 [8377]~P1(f317(f317(f224(a897),x83773),x83771))+P1(f317(f317(f225(a897),x83771),x83772))+~P1(f317(f317(f224(a897),x83773),x83772))+~P1(f317(f317(f225(a897),f317(f317(f23(a897),x83771),x83773)),f317(f317(f23(a897),x83772),x83773)))
% 92.29/92.11 [8396]~P107(x83962)+E(x83961,f103(x83962))+~P13(x83962,f317(f158(x83962),x83961))+E(f317(f132(x83962,x83962,f317(f7(x83962,x83962,x83962),f223(x83962)),x83963),f317(f158(x83962),x83961)),f317(f317(f223(x83962),f317(f317(f154(x83962),x83961),f2(a897))),x83963))
% 92.29/92.11 [8465]E(f317(f317(f23(a1),x84651),x84652),x84651)+~P1(f317(f317(f225(a1),f2(a1)),x84652))+P1(f317(f317(f319(a1),f377(x84653,x84651,x84652)),x84653))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x84651),f72(a1))),x84653))
% 92.29/92.11 [8466]E(f317(f317(f74(a1),x84661),x84662),x84661)+~P1(f317(f317(f225(a1),f2(a1)),x84662))+P1(f317(f317(f319(a1),f384(x84663,x84661,x84662)),x84663))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x84661),f72(a1))),x84663))
% 92.29/92.11 [8538]~P1(f317(f317(f224(a1),x85381),f317(x85382,x85383)))+P1(f317(f317(f225(a897),f501(x85381,x85382,x85383)),x85383))+P1(f317(f317(f224(a897),f500(x85381,x85382,x85383)),x85383))+~P1(f317(f317(f224(a1),f317(x85382,f2(a897))),x85381))
% 92.29/92.11 [8539]~P1(f317(f317(f224(a1),x85391),f317(x85392,x85393)))+P1(f317(f317(f225(a897),f513(x85391,x85392,x85393)),x85393))+P1(f317(f317(f224(a897),f512(x85391,x85392,x85393)),x85393))+~P1(f317(f317(f224(a1),f317(x85392,f2(a897))),x85391))
% 92.29/92.11 [8611]E(f317(f317(f23(a1),x86111),x86112),x86111)+~P1(f317(f317(f225(a1),f2(a1)),x86112))+P1(f317(f317(f319(a1),f378(x86113,x86111,x86112)),f293(a1,f72(a1),x86112)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x86111),f72(a1))),x86113))
% 92.29/92.11 [8612]E(f317(f317(f74(a1),x86121),x86122),x86121)+~P1(f317(f317(f225(a1),f2(a1)),x86122))+P1(f317(f317(f319(a1),f385(x86123,x86121,x86122)),f293(a1,f72(a1),x86122)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x86121),f72(a1))),x86123))
% 92.29/92.11 [8745]~P110(x87451)+~P1(f317(f317(f225(x87451),x87452),f72(x87451)))+~P1(f317(f317(f225(x87451),f2(x87451)),x87452))+P1(f317(f317(f225(x87451),f317(f317(f75(x87451),x87452),f317(f317(f234(x87451),x87452),x87453))),f317(f317(f234(x87451),x87452),x87453)))
% 92.29/92.11 [8838]~P1(f317(x88381,x88382))+P1(f317(x88381,f2(a897)))+~P1(f317(f317(f225(a897),x88382),x88383))+~P1(f317(x88381,f41(a897,f317(a102,f570(x88382,x88381,x88383)),x88383)))
% 92.29/92.11 [8990]E(f461(x89901,x89902,x89903),f2(a897))+P1(f317(f317(x89901,x89903),x89902))+P1(f317(f317(x89901,f461(x89901,x89902,x89903)),f41(a897,f458(x89901,x89902,x89903),f461(x89901,x89902,x89903))))+~P1(f317(f305(f903(a897,a897),a209),f317(f317(f242(a897,a897),x89903),x89902)))
% 92.29/92.11 [9026]~P24(x90261,x90261,x90262,x90263)+E(f317(f300(x90261,x90261,x90262),x90263),x90263)+~P1(f317(f29(x90261),x90263))+~P1(f317(f317(f224(f904(x90261,a893)),f317(f300(x90261,x90261,x90262),x90263)),x90263))
% 92.29/92.11 [9243]P1(f317(f317(x92431,x92432),x92433))+P1(f317(f317(f225(a1),f750(x92431,x92433,x92432)),f751(x92431,x92433,x92432)))+P1(f317(f317(x92431,f750(x92431,x92433,x92432)),f317(f317(f74(a1),f751(x92431,x92433,x92432)),f72(a1))))+~P1(f317(f305(f903(a1,a1),a123),f317(f317(f242(a1,a1),x92432),x92433)))
% 92.29/92.11 [9260]P1(f317(f317(x92601,x92602),x92603))+~P1(f317(f317(f225(a1),f890(x92601,x92603,x92602)),f2(a1)))+P1(f317(f317(x92601,f317(f73(a1),f889(x92601,x92603,x92602))),f317(f73(a1),f890(x92601,x92603,x92602))))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x92602),x92603)))
% 92.29/92.11 [9452]P1(f317(f317(x94521,x94522),x94523))+P1(f317(f317(x94521,f317(f317(f74(a1),f650(x94521,x94523,x94522)),f72(a1))),f652(x94521,x94523,x94522)))+~P1(f317(f317(f224(a1),f650(x94521,x94523,x94522)),f652(x94521,x94523,x94522)))+~P1(f317(f305(f903(a1,a1),a172),f317(f317(f242(a1,a1),x94522),x94523)))
% 92.29/92.11 [9894]~P60(x98942)+~P60(x98941)+~P1(f317(f52(f903(x98941,x98942)),x98943))+P1(f317(f52(x98941),f317(f317(f8(f904(x98942,a893),a893,x98941),f52(x98942)),f317(f317(f8(f904(x98942,f903(x98941,x98942)),f904(x98942,a893),x98941),f317(f8(f903(x98941,x98942),a893,x98942),x98943)),f242(x98941,x98942)))))
% 92.29/92.11 [9895]~P60(x98952)+~P60(x98951)+~P1(f317(f53(f903(x98951,x98952)),x98953))+P1(f317(f53(x98951),f317(f317(f8(f904(x98952,a893),a893,x98951),f53(x98952)),f317(f317(f8(f904(x98952,f903(x98951,x98952)),f904(x98952,a893),x98951),f317(f8(f903(x98951,x98952),a893,x98952),x98953)),f242(x98951,x98952)))))
% 92.29/92.11 [9989]~P60(x99892)+~P60(x99891)+P1(f317(f52(f903(x99891,x99892)),x99893))+~P1(f317(f52(x99891),f317(f317(f8(f904(x99892,a893),a893,x99891),f52(x99892)),f317(f317(f8(f904(x99892,f903(x99891,x99892)),f904(x99892,a893),x99891),f317(f8(f903(x99891,x99892),a893,x99892),x99893)),f242(x99891,x99892)))))
% 92.29/92.11 [9990]~P60(x99902)+~P60(x99901)+P1(f317(f53(f903(x99901,x99902)),x99903))+~P1(f317(f53(x99901),f317(f317(f8(f904(x99902,a893),a893,x99901),f53(x99902)),f317(f317(f8(f904(x99902,f903(x99901,x99902)),f904(x99902,a893),x99901),f317(f8(f903(x99901,x99902),a893,x99902),x99903)),f242(x99901,x99902)))))
% 92.29/92.11 [10163]E(f317(x101631,f500(x101632,x101631,x101633)),x101632)+~P1(f317(f317(f224(a1),x101632),f317(x101631,x101633)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101631,f317(f317(f74(a897),f501(x101632,x101631,x101633)),f72(a897)))),f317(x101631,f501(x101632,x101631,x101633))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101631,f2(a897))),x101632))
% 92.29/92.11 [10164]E(f317(x101641,f512(x101642,x101641,x101643)),x101642)+~P1(f317(f317(f224(a1),x101642),f317(x101641,x101643)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101641,f317(f317(f74(a897),f513(x101642,x101641,x101643)),f72(a897)))),f317(x101641,f513(x101642,x101641,x101643))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101641,f2(a897))),x101642))
% 92.29/92.11 [10167]~P1(f317(f317(f224(a1),x101671),f317(x101672,x101673)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101672,f317(f317(f74(a897),f501(x101671,x101672,x101673)),f72(a897)))),f317(x101672,f501(x101671,x101672,x101673))))),f72(a1)))+P1(f317(f317(f224(a897),f500(x101671,x101672,x101673)),x101673))+~P1(f317(f317(f224(a1),f317(x101672,f2(a897))),x101671))
% 92.29/92.11 [10168]~P1(f317(f317(f224(a1),x101681),f317(x101682,x101683)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101682,f317(f317(f74(a897),f513(x101681,x101682,x101683)),f72(a897)))),f317(x101682,f513(x101681,x101682,x101683))))),f72(a1)))+P1(f317(f317(f224(a897),f512(x101681,x101682,x101683)),x101683))+~P1(f317(f317(f224(a1),f317(x101682,f2(a897))),x101681))
% 92.29/92.11 [10225]E(x102251,x102252)+~E(f317(f132(f898(x102253),f898(x102253),f124(x102253),f103(x102253)),x102251),f317(f132(f898(x102253),f898(x102253),f124(x102253),f103(x102253)),x102252))+~E(f317(f179(f898(f898(x102253))),x102251),f317(f179(f898(f898(x102253))),x102252))+~P1(f317(f317(f247(f898(x102253),f898(x102253),a893),f317(f317(f7(f898(x102253),f904(f898(x102253),a897),f904(f898(x102253),a893)),f317(f317(f8(f904(a897,a893),f904(f904(f898(x102253),a897),f904(f898(x102253),a893)),f898(x102253)),f8(a897,a893,f898(x102253))),f317(f317(f8(a897,f904(a897,a893),f898(x102253)),a314),f179(f898(x102253))))),f179(f898(x102253)))),f681(x102251,x102252,x102253)))
% 92.29/92.11 [10226]E(x102261,x102262)+~E(f317(f132(f898(x102263),f898(x102263),f124(x102263),f103(x102263)),x102261),f317(f132(f898(x102263),f898(x102263),f124(x102263),f103(x102263)),x102262))+~E(f317(f179(f898(f898(x102263))),x102261),f317(f179(f898(f898(x102263))),x102262))+~P1(f317(f317(f247(f898(x102263),f898(x102263),a893),f317(f317(f7(f898(x102263),f904(f898(x102263),a897),f904(f898(x102263),a893)),f317(f317(f8(f904(a897,a893),f904(f904(f898(x102263),a897),f904(f898(x102263),a893)),f898(x102263)),f8(a897,a893,f898(x102263))),f317(f317(f8(a897,f904(a897,a893),f898(x102263)),a314),f179(f898(x102263))))),f179(f898(x102263)))),f682(x102262,x102261,x102263)))
% 92.29/92.11 [6921]~E(f72(a897),f2(a897))+~P1(f317(f29(x69211),x69213))+~P1(f317(f29(x69211),x69212))+E(f317(f317(f74(a897),f317(f30(x69211),x69212)),f317(f30(x69211),x69213)),f317(f30(x69211),f317(f317(f91(f904(x69211,a893)),x69212),x69213)))
% 92.29/92.11 [7339]~P107(x73391)+~P1(f317(f29(x73391),x73392))+~P1(f317(f317(f319(x73391),x73393),x73392))+P1(f317(f317(f224(x73391),f317(f58(x73391,f228(x73391)),x73392)),x73393))
% 92.29/92.11 [7340]~P104(x73401)+~P1(f317(f29(x73401),x73402))+~P1(f317(f317(f319(x73401),x73403),x73402))+P1(f317(f317(f224(x73401),f317(f58(x73401,f92(x73401)),x73402)),x73403))
% 92.29/92.11 [7592]~P1(f317(f29(x75921),x75923))+~P1(f317(f29(x75921),x75922))+~E(f317(f317(f92(f904(x75921,a893)),x75922),x75923),f178(f904(x75921,a893)))+E(f317(f317(f74(a897),f317(f30(x75921),x75922)),f317(f30(x75921),x75923)),f317(f30(x75921),f317(f317(f91(f904(x75921,a893)),x75922),x75923)))
% 92.29/92.11 [8382]~P36(x83821,x83823)+~P36(x83821,x83822)+~E(f317(f317(f92(f904(x83821,a893)),f317(f254(x83821,x83821),x83822)),f317(f274(x83821,x83821),x83823)),f178(f904(x83821,a893)))+P36(x83821,f317(f317(f91(f904(f903(x83821,x83821),a893)),x83822),x83823))
% 92.29/92.11 [8477]E(x84771,f317(f317(f31(a897),x84772),x84773))+~P1(f317(f317(f225(a897),f2(a897)),x84773))+~P1(f317(f317(f225(a897),x84772),f317(f317(f75(a897),x84773),f317(a102,x84771))))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x84773),x84771)),x84772))
% 92.29/92.11 [8609]~P1(f317(f29(x86091),x86092))+~P1(f317(f29(x86091),x86093))+E(f317(f317(f74(a897),f317(f30(x86091),x86092)),f317(f30(x86091),x86093)),f317(f30(x86091),f317(f317(f91(f904(x86091,a893)),x86092),x86093)))+P1(f317(f317(f319(x86091),f437(x86093,x86092,x86091)),f317(f317(f92(f904(x86091,a893)),x86092),x86093)))
% 92.29/92.11 [9002]~P111(x90022)+~E(x90021,f2(x90022))+~E(x90023,f2(x90022))+~P1(f317(f317(f225(x90022),f2(x90022)),f317(f317(f74(x90022),f317(f317(f75(x90022),x90023),x90023)),f317(f317(f75(x90022),x90021),x90021))))
% 92.29/92.11 [9533]~P36(x95331,x95333)+~P36(x95331,x95332)+P36(x95331,f317(f317(f91(f904(f903(x95331,x95331),a893)),x95332),x95333))+~P1(f317(f317(f224(f904(f903(x95331,x95331),a893)),f317(f317(f279(x95331,x95331,x95331),x95332),x95333)),x95332))
% 92.29/92.11 [9670]~P1(f317(x96701,x96703))+~P1(f317(f29(x96702),x96703))+P1(f317(x96701,f178(f904(x96702,a893))))+~P1(f317(x96701,f317(f317(f23(f904(x96702,a893)),f350(x96701,x96703,x96702)),f317(f317(f299(x96702),f351(x96701,x96703,x96702)),f178(f904(x96702,a893))))))
% 92.29/92.11 [8785]~P1(f317(f317(f225(a1),f2(a1)),x87853))+P1(f317(f317(f224(a1),f2(a1)),x87851))+~P1(f317(f317(f225(a1),x87852),x87853))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87853),x87851)),x87852)))
% 92.29/92.11 [8809]~P107(x88091)+~P1(f317(f29(x88091),x88092))+E(f317(f317(f23(f904(x88091,a893)),x88092),f317(f317(f299(x88091),x88093),f178(f904(x88091,a893)))),f178(f904(x88091,a893)))+E(f317(f317(f228(x88091),x88093),f14(x88091,f317(f317(f23(f904(x88091,a893)),x88092),f317(f317(f299(x88091),x88093),f178(f904(x88091,a893)))))),f14(x88091,f317(f317(f299(x88091),x88093),x88092)))
% 92.29/92.11 [8810]~P107(x88101)+~P1(f317(f29(x88101),x88102))+E(f317(f317(f23(f904(x88101,a893)),x88102),f317(f317(f299(x88101),x88103),f178(f904(x88101,a893)))),f178(f904(x88101,a893)))+E(f317(f317(f223(x88101),x88103),f15(x88101,f317(f317(f23(f904(x88101,a893)),x88102),f317(f317(f299(x88101),x88103),f178(f904(x88101,a893)))))),f15(x88101,f317(f317(f299(x88101),x88103),x88102)))
% 92.29/92.11 [8811]~P99(x88111)+~P1(f317(f29(x88111),x88112))+E(f317(f317(f23(f904(x88111,a893)),x88112),f317(f317(f299(x88111),x88113),f178(f904(x88111,a893)))),f178(f904(x88111,a893)))+E(f317(f317(f91(x88111),x88113),f13(x88111,f317(f317(f23(f904(x88111,a893)),x88112),f317(f317(f299(x88111),x88113),f178(f904(x88111,a893)))))),f13(x88111,f317(f317(f299(x88111),x88113),x88112)))
% 92.29/92.11 [8812]~P99(x88121)+~P1(f317(f29(x88121),x88122))+E(f317(f317(f23(f904(x88121,a893)),x88122),f317(f317(f299(x88121),x88123),f178(f904(x88121,a893)))),f178(f904(x88121,a893)))+E(f317(f317(f92(x88121),x88123),f10(x88121,f317(f317(f23(f904(x88121,a893)),x88122),f317(f317(f299(x88121),x88123),f178(f904(x88121,a893)))))),f10(x88121,f317(f317(f299(x88121),x88123),x88122)))
% 92.29/92.11 [8884]~P107(x88841)+~P1(f317(f29(x88841),x88842))+E(f317(f317(f23(f904(x88841,a893)),x88842),f317(f317(f299(x88841),x88843),f178(f904(x88841,a893)))),f178(f904(x88841,a893)))+E(f317(f317(f228(x88841),x88843),f11(x88841,f228(x88841),f317(f317(f23(f904(x88841,a893)),x88842),f317(f317(f299(x88841),x88843),f178(f904(x88841,a893)))))),f11(x88841,f228(x88841),f317(f317(f299(x88841),x88843),x88842)))
% 92.29/92.11 [8885]~P107(x88851)+~P1(f317(f29(x88851),x88852))+E(f317(f317(f23(f904(x88851,a893)),x88852),f317(f317(f299(x88851),x88853),f178(f904(x88851,a893)))),f178(f904(x88851,a893)))+E(f317(f317(f223(x88851),x88853),f12(x88851,f223(x88851),f317(f317(f23(f904(x88851,a893)),x88852),f317(f317(f299(x88851),x88853),f178(f904(x88851,a893)))))),f12(x88851,f223(x88851),f317(f317(f299(x88851),x88853),x88852)))
% 92.29/92.11 [9471]E(x94711,x94712)+~E(f317(f132(f898(x94713),f898(x94713),f124(x94713),f103(x94713)),x94711),f317(f132(f898(x94713),f898(x94713),f124(x94713),f103(x94713)),x94712))+~E(f317(f179(f898(f898(x94713))),x94711),f317(f179(f898(f898(x94713))),x94712))+P1(f317(f317(f319(f903(f898(x94713),f898(x94713))),f681(x94711,x94712,x94713)),f317(f162(f903(f898(x94713),f898(x94713))),f317(f317(f171(f898(x94713),f898(x94713)),x94712),x94711))))
% 92.29/92.11 [9472]E(x94721,x94722)+~E(f317(f132(f898(x94723),f898(x94723),f124(x94723),f103(x94723)),x94721),f317(f132(f898(x94723),f898(x94723),f124(x94723),f103(x94723)),x94722))+~E(f317(f179(f898(f898(x94723))),x94721),f317(f179(f898(f898(x94723))),x94722))+P1(f317(f317(f319(f903(f898(x94723),f898(x94723))),f682(x94722,x94721,x94723)),f317(f162(f903(f898(x94723),f898(x94723))),f317(f317(f171(f898(x94723),f898(x94723)),x94721),x94722))))
% 92.29/92.11 [10334]~P79(x103342)+E(x103341,f178(f904(x103342,a893)))+~P1(f317(f29(x103342),x103341))+E(f14(x103342,f317(f252(x103342),f317(f317(f8(f904(x103342,a893),a893,x103342),f81(x103342)),f317(f317(f7(x103342,f904(x103342,a893),f904(x103342,a893)),f317(f317(f8(f904(x103342,f904(a893,a893)),f904(f904(x103342,a893),f904(x103342,a893)),x103342),f18(x103342,a893,a893)),f317(f317(f8(f904(x103342,a893),f904(x103342,f904(a893,a893)),x103342),f317(f8(a893,f904(a893,a893),x103342),a315)),f317(f317(f7(x103342,f904(x103342,x103342),f904(x103342,a893)),f317(f317(f8(f904(x103342,a893),f904(f904(x103342,x103342),f904(x103342,a893)),x103342),f8(x103342,a893,x103342)),a314)),f317(f74(x103342),x103343))))),f317(f317(f7(x103342,f904(x103342,a893),a893),f319(x103342)),x103341))))),f317(f317(f74(x103342),x103343),f14(x103342,x103341)))
% 92.29/92.11 [10335]~P79(x103352)+E(x103351,f178(f904(x103352,a893)))+~P1(f317(f29(x103352),x103351))+E(f15(x103352,f317(f252(x103352),f317(f317(f8(f904(x103352,a893),a893,x103352),f81(x103352)),f317(f317(f7(x103352,f904(x103352,a893),f904(x103352,a893)),f317(f317(f8(f904(x103352,f904(a893,a893)),f904(f904(x103352,a893),f904(x103352,a893)),x103352),f18(x103352,a893,a893)),f317(f317(f8(f904(x103352,a893),f904(x103352,f904(a893,a893)),x103352),f317(f8(a893,f904(a893,a893),x103352),a315)),f317(f317(f7(x103352,f904(x103352,x103352),f904(x103352,a893)),f317(f317(f8(f904(x103352,a893),f904(f904(x103352,x103352),f904(x103352,a893)),x103352),f8(x103352,a893,x103352)),a314)),f317(f74(x103352),x103353))))),f317(f317(f7(x103352,f904(x103352,a893),a893),f319(x103352)),x103351))))),f317(f317(f74(x103352),x103353),f15(x103352,x103351)))
% 92.29/92.11 [10336]~P102(x103362)+E(x103361,f178(f904(x103362,a893)))+~P1(f317(f29(x103362),x103361))+E(f10(x103362,f317(f252(x103362),f317(f317(f8(f904(x103362,a893),a893,x103362),f81(x103362)),f317(f317(f7(x103362,f904(x103362,a893),f904(x103362,a893)),f317(f317(f8(f904(x103362,f904(a893,a893)),f904(f904(x103362,a893),f904(x103362,a893)),x103362),f18(x103362,a893,a893)),f317(f317(f8(f904(x103362,a893),f904(x103362,f904(a893,a893)),x103362),f317(f8(a893,f904(a893,a893),x103362),a315)),f317(f317(f7(x103362,f904(x103362,x103362),f904(x103362,a893)),f317(f317(f8(f904(x103362,a893),f904(f904(x103362,x103362),f904(x103362,a893)),x103362),f8(x103362,a893,x103362)),a314)),f317(f91(x103362),x103363))))),f317(f317(f7(x103362,f904(x103362,a893),a893),f319(x103362)),x103361))))),f317(f317(f91(x103362),x103363),f10(x103362,x103361)))
% 92.29/92.11 [10337]~P102(x103372)+E(x103371,f178(f904(x103372,a893)))+~P1(f317(f29(x103372),x103371))+E(f13(x103372,f317(f252(x103372),f317(f317(f8(f904(x103372,a893),a893,x103372),f81(x103372)),f317(f317(f7(x103372,f904(x103372,a893),f904(x103372,a893)),f317(f317(f8(f904(x103372,f904(a893,a893)),f904(f904(x103372,a893),f904(x103372,a893)),x103372),f18(x103372,a893,a893)),f317(f317(f8(f904(x103372,a893),f904(x103372,f904(a893,a893)),x103372),f317(f8(a893,f904(a893,a893),x103372),a315)),f317(f317(f7(x103372,f904(x103372,x103372),f904(x103372,a893)),f317(f317(f8(f904(x103372,a893),f904(f904(x103372,x103372),f904(x103372,a893)),x103372),f8(x103372,a893,x103372)),a314)),f317(f92(x103372),x103373))))),f317(f317(f7(x103372,f904(x103372,a893),a893),f319(x103372)),x103371))))),f317(f317(f92(x103372),x103373),f13(x103372,x103371)))
% 92.29/92.11 [10338]~P107(x103382)+E(x103381,f178(f904(x103382,a893)))+~P1(f317(f29(x103382),x103381))+E(f12(x103382,f223(x103382),f317(f252(x103382),f317(f317(f8(f904(x103382,a893),a893,x103382),f81(x103382)),f317(f317(f7(x103382,f904(x103382,a893),f904(x103382,a893)),f317(f317(f8(f904(x103382,f904(a893,a893)),f904(f904(x103382,a893),f904(x103382,a893)),x103382),f18(x103382,a893,a893)),f317(f317(f8(f904(x103382,a893),f904(x103382,f904(a893,a893)),x103382),f317(f8(a893,f904(a893,a893),x103382),a315)),f317(f317(f7(x103382,f904(x103382,x103382),f904(x103382,a893)),f317(f317(f8(f904(x103382,a893),f904(f904(x103382,x103382),f904(x103382,a893)),x103382),f8(x103382,a893,x103382)),a314)),f317(f228(x103382),x103383))))),f317(f317(f7(x103382,f904(x103382,a893),a893),f319(x103382)),x103381))))),f317(f317(f228(x103382),x103383),f12(x103382,f223(x103382),x103381)))
% 92.29/92.11 [10339]~P107(x103392)+E(x103391,f178(f904(x103392,a893)))+~P1(f317(f29(x103392),x103391))+E(f11(x103392,f228(x103392),f317(f252(x103392),f317(f317(f8(f904(x103392,a893),a893,x103392),f81(x103392)),f317(f317(f7(x103392,f904(x103392,a893),f904(x103392,a893)),f317(f317(f8(f904(x103392,f904(a893,a893)),f904(f904(x103392,a893),f904(x103392,a893)),x103392),f18(x103392,a893,a893)),f317(f317(f8(f904(x103392,a893),f904(x103392,f904(a893,a893)),x103392),f317(f8(a893,f904(a893,a893),x103392),a315)),f317(f317(f7(x103392,f904(x103392,x103392),f904(x103392,a893)),f317(f317(f8(f904(x103392,a893),f904(f904(x103392,x103392),f904(x103392,a893)),x103392),f8(x103392,a893,x103392)),a314)),f317(f223(x103392),x103393))))),f317(f317(f7(x103392,f904(x103392,a893),a893),f319(x103392)),x103391))))),f317(f317(f223(x103392),x103393),f11(x103392,f228(x103392),x103391)))
% 92.29/92.11 [10053]~P126(x100531)+~E(x100533,f2(x100531))+~E(x100532,f2(x100531))+E(f317(f317(f74(x100531),f317(f317(f234(x100531),x100532),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x100531),x100533),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x100531))
% 92.29/92.11 [10206]~P110(x102061)+~P1(f317(f317(f224(x102061),f2(x102061)),x102063))+P1(f317(f317(f224(x102061),x102062),x102063))+~P1(f317(f317(f224(x102061),f317(f317(f234(x102061),x102062),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102061),x102063),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.11 [10207]~P110(x102071)+~P1(f317(f317(f224(x102071),f2(x102071)),x102073))+P1(f317(f317(f225(x102071),x102072),x102073))+~P1(f317(f317(f225(x102071),f317(f317(f234(x102071),x102072),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102071),x102073),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 92.29/92.11 [10263]~P126(x102632)+~E(x102631,f2(x102632))+~E(x102633,f2(x102632))+~P1(f317(f317(f225(x102632),f2(x102632)),f317(f317(f74(x102632),f317(f317(f234(x102632),x102633),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102632),x102631),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 92.29/92.11 [6799]~P7(x67993,x67992)+~P1(f317(x67991,x67994))+~P1(f317(f317(f319(x67993),x67994),f260(x67993,x67992)))+P1(f317(x67991,f802(x67991,x67992,x67993)))
% 92.29/92.11 [8720]P25(x87201,x87202,f806(x87203,x87202,x87204,x87201),x87204,x87203)+~E(f317(f30(x87201),x87204),f317(f30(x87202),x87203))+~P1(f317(f29(x87202),x87203))+~P1(f317(f29(x87201),x87204))
% 92.29/92.11 [9434]E(x94341,x94342)+~E(f625(x94341,x94342,x94344,x94343),f627(x94341,x94342,x94344,x94343))+P1(f317(f317(f319(f903(f898(x94343),f898(x94343))),f317(f317(f242(f898(x94343),f898(x94343)),x94342),x94341)),f137(x94343,x94344)))+P1(f317(f317(f319(f903(f898(x94343),f898(x94343))),f317(f317(f242(f898(x94343),f898(x94343)),x94341),x94342)),f137(x94343,x94344)))
% 92.29/92.11 [4912]~P61(x49122)+~E(x49124,f2(x49122))+~E(x49121,f2(x49122))+E(x49121,f317(f317(f281(x49122),x49123),x49124))
% 92.29/92.11 [4913]~P61(x49131)+~E(x49133,f2(x49131))+~E(x49134,f2(x49131))+E(f317(f317(f281(x49131),x49132),x49133),x49134)
% 92.29/92.11 [5033]~P61(x50332)+E(x50331,f2(x50332))+~E(x50333,f2(x50332))+~E(x50331,f317(f317(f281(x50332),x50334),x50333))
% 92.29/92.11 [5034]~P61(x50342)+E(x50341,f2(x50342))+~E(x50343,f2(x50342))+~E(f317(f317(f281(x50342),x50344),x50343),x50341)
% 92.29/92.11 [5217]~P122(x52172)+E(x52171,f2(x52172))+~E(f317(f317(f281(x52172),x52173),x52171),x52174)+E(x52173,f317(f317(f75(x52172),x52174),x52171))
% 92.29/92.11 [5218]~P122(x52182)+E(x52181,f2(x52182))+~E(f317(f317(f75(x52182),x52183),x52181),x52184)+E(x52183,f317(f317(f281(x52182),x52184),x52181))
% 92.29/92.11 [5219]~P122(x52192)+E(x52191,f2(x52192))+~E(f317(f317(f75(x52192),x52193),x52191),x52194)+E(x52193,f317(f317(f281(x52192),x52194),x52191))
% 92.29/92.11 [5220]~P61(x52202)+E(x52201,f2(x52202))+~E(f317(f317(f281(x52202),x52203),x52201),x52204)+E(x52203,f317(f317(f75(x52202),x52204),x52201))
% 92.29/92.11 [5221]~P61(x52212)+E(x52211,f2(x52212))+~E(f317(f317(f75(x52212),x52213),x52211),x52214)+E(x52213,f317(f317(f281(x52212),x52214),x52211))
% 92.29/92.11 [5222]~P122(x52222)+E(x52221,f2(x52222))+~E(x52223,f317(f317(f281(x52222),x52224),x52221))+E(f317(f317(f75(x52222),x52223),x52221),x52224)
% 92.29/92.11 [5223]~P122(x52232)+E(x52231,f2(x52232))+~E(x52233,f317(f317(f75(x52232),x52234),x52231))+E(f317(f317(f281(x52232),x52233),x52231),x52234)
% 92.29/92.11 [5224]~P122(x52242)+E(x52241,f2(x52242))+~E(x52243,f317(f317(f75(x52242),x52244),x52241))+E(f317(f317(f281(x52242),x52243),x52241),x52244)
% 92.29/92.11 [5225]~P61(x52252)+E(x52251,f2(x52252))+~E(x52253,f317(f317(f281(x52252),x52254),x52251))+E(f317(f317(f75(x52252),x52253),x52251),x52254)
% 92.29/92.11 [5226]~P61(x52262)+E(x52261,f2(x52262))+~E(x52263,f317(f317(f75(x52262),x52264),x52261))+E(f317(f317(f281(x52262),x52263),x52261),x52264)
% 92.29/92.11 [5250]~P61(x52502)+~E(x52501,f2(x52502))+~E(f317(f317(f75(x52502),x52501),x52504),x52503)+E(x52501,f317(f317(f281(x52502),x52503),x52504))
% 92.29/92.11 [5251]~P61(x52511)+~E(x52514,f2(x52511))+~E(x52512,f317(f317(f75(x52511),x52514),x52513))+E(f317(f317(f281(x52511),x52512),x52513),x52514)
% 92.29/92.11 [5325]~E(x53253,x53254)+~E(x53252,x53253)+~P108(x53251)+E(f293(x53251,x53252,x53253),f317(f317(f299(x53251),x53254),f178(f904(x53251,a893))))
% 92.29/92.11 [5529]~E(f104(x55292,x55291),x55293)+~E(f134(x55292,x55291),x55294)+E(x55291,f103(x55292))+E(f317(f317(f124(x55292),x55293),f317(f317(f141(x55292),x55294),f103(x55292))),x55291)
% 92.29/92.11 [6172]~P110(x61723)+E(x61721,x61722)+~E(f317(f317(f234(x61723),x61724),x61721),f317(f317(f234(x61723),x61724),x61722))+~P1(f317(f317(f225(x61723),f72(x61723)),x61724))
% 92.29/92.11 [6173]E(x61731,x61732)+~E(f317(f317(f299(x61733),x61734),x61731),f317(f317(f299(x61733),x61734),x61732))+P1(f317(f317(f319(x61733),x61734),x61732))+P1(f317(f317(f319(x61733),x61734),x61731))
% 92.29/92.11 [6216]E(f317(x62161,x62162),f72(a897))+~E(f317(f317(f9(x62163,a897),x62161),x62164),f72(a897))+~P1(f317(f29(x62163),x62164))+~P1(f317(f317(f319(x62163),x62162),x62164))
% 92.29/92.11 [6217]E(f317(x62171,x62172),f2(a897))+~E(f317(f317(f6(x62173,a897),x62171),x62174),f2(a897))+~P1(f317(f29(x62173),x62174))+~P1(f317(f317(f319(x62173),x62172),x62174))
% 92.29/92.11 [6445]~P108(x64451)+~P1(f317(f317(f224(x64451),x64454),x64453))+P1(f317(f317(f224(x64451),x64452),x64453))+~P1(f317(f317(f224(x64451),x64452),x64454))
% 92.29/92.11 [6446]~P65(x64461)+~P1(f317(f317(f224(x64461),x64462),x64464))+P1(f317(f317(f224(x64461),x64462),x64463))+~P1(f317(f317(f224(x64461),x64464),x64463))
% 92.29/92.11 [6447]~P108(x64471)+~P1(f317(f317(f225(x64471),x64474),x64473))+P1(f317(f317(f225(x64471),x64472),x64473))+~P1(f317(f317(f224(x64471),x64472),x64474))
% 92.29/92.11 [6448]~P108(x64481)+~P1(f317(f317(f225(x64481),x64482),x64484))+P1(f317(f317(f225(x64481),x64482),x64483))+~P1(f317(f317(f224(x64481),x64484),x64483))
% 92.29/92.11 [6449]~P108(x64491)+~P1(f317(f317(f225(x64491),x64494),x64493))+P1(f317(f317(f225(x64491),x64492),x64493))+~P1(f317(f317(f225(x64491),x64492),x64494))
% 92.29/92.11 [6450]~P65(x64501)+~P1(f317(f317(f225(x64501),x64502),x64504))+P1(f317(f317(f225(x64501),x64502),x64503))+~P1(f317(f317(f224(x64501),x64504),x64503))
% 92.29/92.11 [6451]~P65(x64511)+~P1(f317(f317(f225(x64511),x64514),x64513))+P1(f317(f317(f225(x64511),x64512),x64513))+~P1(f317(f317(f224(x64511),x64512),x64514))
% 92.29/92.11 [6452]~P65(x64521)+~P1(f317(f317(f225(x64521),x64522),x64524))+P1(f317(f317(f225(x64521),x64522),x64523))+~P1(f317(f317(f225(x64521),x64524),x64523))
% 92.29/92.11 [6453]~P119(x64531)+~P1(f317(f317(f277(x64531),x64532),x64534))+P1(f317(f317(f277(x64531),x64532),x64533))+~P1(f317(f317(f277(x64531),x64534),x64533))
% 92.29/92.11 [6535]~P34(x65354,x65353,x65352)+E(x65351,f734(x65352,x65353,x65354))+~P1(f317(x65353,x65351))+~P1(f317(f317(f319(x65354),x65351),f317(f162(x65354),x65352)))
% 92.29/92.11 [6536]~P34(x65364,x65363,x65362)+E(x65361,f744(x65362,x65363,x65364))+~P1(f317(x65363,x65361))+~P1(f317(f317(f319(x65364),x65361),f317(f162(x65364),x65362)))
% 92.29/92.11 [6690]~P5(x66901)+~P1(f317(f317(f224(x66901),x66902),f33(x66901,x66904)))+P1(f317(f317(f224(x66901),x66902),x66903))+~P1(f317(f317(f319(x66901),x66903),x66904))
% 92.29/92.11 [6840]~P107(x68401)+~P13(x68401,f317(f317(f141(x68401),x68402),x68404))+~P1(f317(f317(f319(x68401),x68403),f317(f162(x68401),x68404)))+P1(f317(f317(f224(x68401),x68402),x68403))
% 92.29/92.11 [6841]~P107(x68411)+~P13(x68411,f317(f317(f141(x68411),x68412),x68414))+~P1(f317(f317(f319(x68411),x68413),f317(f162(x68411),x68414)))+P1(f317(f317(f224(x68411),x68412),x68413))
% 92.29/92.11 [6931]~P5(x69311)+~P1(f317(f317(f224(x69311),f32(x69311,x69314)),x69313))+P1(f317(f317(f224(x69311),x69312),x69313))+~P1(f317(f317(f319(x69311),x69312),x69314))
% 92.29/92.11 [7077]~P3(x70771)+P1(f317(f317(f277(x70771),x70772),f41(x70771,x70773,x70774)))+~P1(f317(f317(f277(x70771),x70772),x70774))+~P1(f317(f317(f277(x70771),x70772),x70773))
% 92.29/92.11 [7078]~P3(x70781)+P1(f317(f317(f277(x70781),x70782),f41(x70781,x70783,x70784)))+~P1(f317(f317(f277(x70781),x70782),x70784))+~P1(f317(f317(f277(x70781),x70782),x70783))
% 92.29/92.11 [7342]~P107(x73421)+E(f317(f317(f91(f904(x73421,a893)),f317(f292(x73421,x73422),x73423)),f317(f292(x73421,x73423),x73424)),f317(f292(x73421,x73422),x73424))+~P1(f317(f317(f224(x73421),x73423),x73424))+~P1(f317(f317(f224(x73421),x73422),x73423))
% 92.29/92.11 [7386]P34(x73861,x73862,x73863)+~E(f746(x73863,x73862,x73861,x73864),x73864)+~P1(f317(x73862,x73864))+~P1(f317(f317(f319(x73861),x73864),f317(f162(x73861),x73863)))
% 92.29/92.11 [7387]P34(x73871,x73872,x73873)+~E(f754(x73873,x73872,x73871,x73874),x73874)+~P1(f317(x73872,x73874))+~P1(f317(f317(f319(x73871),x73874),f317(f162(x73871),x73873)))
% 92.29/92.11 [7429]~P3(x74291)+~P1(f317(f317(f277(x74291),x74292),f41(x74291,x74293,x74294)))+P1(f317(f317(f277(x74291),x74292),x74293))+~P1(f317(f317(f277(x74291),x74292),x74294))
% 92.29/92.11 [7430]~P3(x74301)+~P1(f317(f317(f277(x74301),x74302),f41(x74301,x74303,x74304)))+P1(f317(f317(f277(x74301),x74302),x74303))+~P1(f317(f317(f277(x74301),x74302),x74304))
% 92.29/92.11 [7464]~P107(x74641)+E(f317(f317(f91(f904(x74641,a893)),f317(f292(x74641,x74642),x74643)),f293(x74641,x74643,x74644)),f293(x74641,x74642,x74644))+~P1(f317(f317(f224(x74641),x74643),x74644))+~P1(f317(f317(f224(x74641),x74642),x74643))
% 92.29/92.11 [7526]~P107(x75261)+E(f317(f317(f91(f904(x75261,a893)),f296(x75261,x75262,x75263)),f317(f292(x75261,x75263),x75264)),f296(x75261,x75262,x75264))+~P1(f317(f317(f224(x75261),x75263),x75264))+~P1(f317(f317(f225(x75261),x75262),x75263))
% 92.29/92.11 [7543]~P107(x75431)+E(f317(f317(f91(f904(x75431,a893)),f293(x75431,x75432,x75433)),f296(x75431,x75433,x75434)),f317(f292(x75431,x75432),x75434))+~P1(f317(f317(f224(x75431),x75432),x75433))+~P1(f317(f317(f225(x75431),x75433),x75434))
% 92.29/92.11 [7573]~P107(x75731)+E(f317(f317(f91(f904(x75731,a893)),f296(x75731,x75732,x75733)),f293(x75731,x75733,x75734)),f295(x75731,x75732,x75734))+~P1(f317(f317(f224(x75731),x75733),x75734))+~P1(f317(f317(f225(x75731),x75732),x75733))
% 92.29/92.11 [7574]~P107(x75741)+E(f317(f317(f91(f904(x75741,a893)),f295(x75741,x75742,x75743)),f296(x75741,x75743,x75744)),f296(x75741,x75742,x75744))+~P1(f317(f317(f224(x75741),x75742),x75743))+~P1(f317(f317(f225(x75741),x75743),x75744))
% 92.29/92.11 [7575]~P107(x75751)+E(f317(f317(f91(f904(x75751,a893)),f295(x75751,x75752,x75753)),f295(x75751,x75753,x75754)),f295(x75751,x75752,x75754))+~P1(f317(f317(f224(x75751),x75753),x75754))+~P1(f317(f317(f224(x75751),x75752),x75753))
% 92.29/92.11 [7576]~P107(x75761)+E(f317(f317(f91(f904(x75761,a893)),f293(x75761,x75762,x75763)),f295(x75761,x75763,x75764)),f293(x75761,x75762,x75764))+~P1(f317(f317(f224(x75761),x75763),x75764))+~P1(f317(f317(f224(x75761),x75762),x75763))
% 92.29/92.11 [8366]P24(x83661,x83662,f531(x83663,x83662,x83664,x83661),x83664)+~P1(f317(f29(x83662),x83663))+~P1(f317(f29(x83661),x83664))+~P1(f317(f317(f224(a897),f317(f30(x83661),x83664)),f317(f30(x83662),x83663)))
% 92.29/92.11 [8387]P34(x83871,x83872,x83873)+~P1(f317(x83872,x83874))+P1(f317(x83872,f746(x83873,x83872,x83871,x83874)))+~P1(f317(f317(f319(x83871),x83874),f317(f162(x83871),x83873)))
% 92.29/92.11 [8388]P34(x83881,x83882,x83883)+~P1(f317(x83882,x83884))+P1(f317(x83882,f754(x83883,x83882,x83881,x83884)))+~P1(f317(f317(f319(x83881),x83884),f317(f162(x83881),x83883)))
% 92.29/92.11 [8442]~P76(x84421)+~E(f317(x84423,f755(x84423,x84424,x84422,x84421)),f72(x84421))+E(f317(f317(f317(f60(x84421,x84422,f75(x84421)),x84423),f72(x84421)),x84424),f72(x84421))+~P1(f317(f29(x84422),x84424))
% 92.29/92.11 [8709]~P110(x87091)+~P1(f317(f317(f224(x87091),f2(x87091)),x87093))+P1(f317(f317(f224(x87091),x87092),x87093))+~P1(f317(f317(f224(x87091),f317(f317(f234(x87091),x87092),f317(a102,x87094))),f317(f317(f234(x87091),x87093),f317(a102,x87094))))
% 92.29/92.11 [9027]P34(x90271,x90272,x90273)+~P1(f317(x90272,x90274))+~P1(f317(f317(f319(x90271),x90274),f317(f162(x90271),x90273)))+P1(f317(f317(f319(x90271),f746(x90273,x90272,x90271,x90274)),f317(f162(x90271),x90273)))
% 92.29/92.11 [9028]P34(x90281,x90282,x90283)+~P1(f317(x90282,x90284))+~P1(f317(f317(f319(x90281),x90284),f317(f162(x90281),x90283)))+P1(f317(f317(f319(x90281),f754(x90283,x90282,x90281,x90284)),f317(f162(x90281),x90283)))
% 92.29/92.11 [9104]~P76(x91041)+E(f317(f317(f317(f60(x91041,x91042,f75(x91041)),x91043),f72(x91041)),x91044),f72(x91041))+~P1(f317(f29(x91042),x91044))+P1(f317(f317(f319(x91042),f755(x91043,x91044,x91042,x91041)),x91044))
% 92.29/92.11 [9369]~P8(x93692,x93693,x93694)+~P1(f317(f29(x93692),x93693))+~P1(f317(f317(f277(a897),x93691),f317(f30(x93692),f840(x93691,x93694,x93693,x93692))))+P1(f317(f317(f277(a897),x93691),f317(f30(x93692),x93693)))
% 92.29/92.11 [9594]~P1(f317(f317(f277(a897),x95942),x95943))+P1(f317(f317(f277(a897),x95941),x95942))+P1(f317(f317(f277(a897),x95943),x95944))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x95942,x95943)),f280(a897,f277(a897),x95941,x95944)))
% 92.29/92.11 [9599]P1(f317(f317(f277(a897),x95991),x95992))+~P1(f317(f317(f277(a897),x95992),x95993))+~P1(f317(f317(f277(a897),x95994),x95993))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x95992,x95993)),f280(a897,f277(a897),x95991,x95994)))
% 92.29/92.11 [9600]~P1(f317(f317(f277(a897),x96003),x96001))+P1(f317(f317(f277(a897),x96001),x96002))+~P1(f317(f317(f277(a897),x96003),x96004))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x96003,x96001)),f280(a897,f277(a897),x96004,x96002)))
% 92.29/92.11 [9608]~P1(f317(f317(f277(a897),x96081),x96083))+~P1(f317(f317(f277(a897),x96081),x96082))+~P1(f317(f317(f277(a897),x96084),x96083))+~P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x96081,x96083)),f280(a897,f277(a897),x96082,x96084)))
% 92.29/92.11 [9613]~P1(f317(f317(f224(a1),x96134),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96131),f41(a1,x96132,x96133))),x96134)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x96133))+~P1(f317(f317(f225(a1),x96131),x96134))
% 92.29/92.11 [10046]~P1(f317(f29(x100461),x100462))+~P1(f317(f317(f319(x100461),x100464),x100462))+~P1(f317(f317(f319(x100461),x100463),x100462))+P1(f317(f317(f225(a897),f317(f30(x100461),f317(f317(f23(f904(x100461,a893)),f317(f317(f23(f904(x100461,a893)),x100462),f317(f317(f299(x100461),x100463),f178(f904(x100461,a893))))),f317(f317(f299(x100461),x100464),f178(f904(x100461,a893)))))),f317(f30(x100461),x100462)))
% 92.29/92.11 [6989]~P145(x69893)+~P121(x69893)+P1(f317(x69891,f837(x69892,x69891,x69893)))+~P1(f317(x69891,f317(f317(f75(x69893),x69892),x69894)))
% 92.29/92.11 [7048]~P107(x70481)+~P1(f317(f317(f224(x70481),x70482),x70484))+~P1(f317(f317(f224(x70481),x70482),x70483))+P1(f317(f317(f224(x70481),x70482),f317(f317(f228(x70481),x70483),x70484)))
% 92.29/92.11 [7049]~P107(x70491)+~P1(f317(f317(f224(x70491),x70492),x70494))+~P1(f317(f317(f224(x70491),x70492),x70493))+P1(f317(f317(f224(x70491),x70492),f317(f317(f228(x70491),x70493),x70494)))
% 92.29/92.11 [7050]~P107(x70501)+~P1(f317(f317(f224(x70501),x70502),x70504))+~P1(f317(f317(f224(x70501),x70502),x70503))+P1(f317(f317(f224(x70501),x70502),f317(f317(f228(x70501),x70503),x70504)))
% 92.29/92.11 [7051]~P104(x70511)+~P1(f317(f317(f224(x70511),x70512),x70514))+~P1(f317(f317(f224(x70511),x70512),x70513))+P1(f317(f317(f224(x70511),x70512),f317(f317(f92(x70511),x70513),x70514)))
% 92.29/92.11 [7052]~P104(x70521)+~P1(f317(f317(f224(x70521),x70522),x70524))+~P1(f317(f317(f224(x70521),x70522),x70523))+P1(f317(f317(f224(x70521),x70522),f317(f317(f92(x70521),x70523),x70524)))
% 92.29/92.11 [7053]~P104(x70531)+~P1(f317(f317(f224(x70531),x70532),x70534))+~P1(f317(f317(f224(x70531),x70532),x70533))+P1(f317(f317(f224(x70531),x70532),f317(f317(f92(x70531),x70533),x70534)))
% 92.29/92.11 [7054]~P107(x70541)+~P1(f317(f317(f225(x70541),x70542),x70544))+~P1(f317(f317(f225(x70541),x70542),x70543))+P1(f317(f317(f225(x70541),x70542),f317(f317(f228(x70541),x70543),x70544)))
% 92.29/92.11 [7055]~P117(x70551)+~P1(f317(f317(f277(x70551),x70552),x70554))+~P1(f317(f317(f277(x70551),x70552),x70553))+P1(f317(f317(f277(x70551),x70552),f317(f317(f23(x70551),x70553),x70554)))
% 92.29/92.11 [7056]~P119(x70561)+~P1(f317(f317(f277(x70561),x70562),x70564))+~P1(f317(f317(f277(x70561),x70562),x70563))+P1(f317(f317(f277(x70561),x70562),f317(f317(f74(x70561),x70563),x70564)))
% 92.29/92.11 [7076]~P62(x70762)+E(x70761,f2(x70762))+E(f317(f317(f281(x70762),f317(f317(f234(x70762),x70761),x70763)),f317(f317(f234(x70762),x70761),x70764)),f317(f317(f234(x70762),x70761),f317(f317(f23(a897),x70763),x70764)))+~P1(f317(f317(f224(a897),x70764),x70763))
% 92.29/92.11 [7121]~P107(x71211)+~P13(x71211,f317(f317(f141(x71211),x71213),x71214))+P13(x71211,f317(f317(f141(x71211),x71212),f317(f317(f141(x71211),x71213),x71214)))+~P1(f317(f317(f224(x71211),x71212),x71213))
% 92.29/92.11 [7122]~P107(x71221)+~P13(x71221,f317(f317(f141(x71221),x71223),x71224))+P13(x71221,f317(f317(f141(x71221),x71222),f317(f317(f141(x71221),x71223),x71224)))+~P1(f317(f317(f224(x71221),x71222),x71223))
% 92.29/92.11 [7158]~P88(x71581)+~P1(f317(f317(f224(x71581),f2(x71581)),x71584))+~P1(f317(f317(f224(x71581),x71582),x71583))+P1(f317(f317(f224(x71581),x71582),f317(f317(f74(x71581),x71583),x71584)))
% 92.29/92.11 [7159]~P88(x71591)+~P1(f317(f317(f224(x71591),f2(x71591)),x71593))+~P1(f317(f317(f224(x71591),x71592),x71594))+P1(f317(f317(f224(x71591),x71592),f317(f317(f74(x71591),x71593),x71594)))
% 92.29/92.11 [7160]~P110(x71601)+~P1(f317(f317(f225(x71601),f2(x71601)),x71603))+~P1(f317(f317(f225(x71601),x71602),x71604))+P1(f317(f317(f225(x71601),x71602),f317(f317(f74(x71601),x71603),x71604)))
% 92.29/92.11 [7161]~P88(x71611)+~P1(f317(f317(f224(x71611),x71612),x71614))+~P1(f317(f317(f225(x71611),f2(x71611)),x71613))+P1(f317(f317(f225(x71611),x71612),f317(f317(f74(x71611),x71613),x71614)))
% 92.29/92.11 [7162]~P88(x71621)+~P1(f317(f317(f224(x71621),f2(x71621)),x71623))+~P1(f317(f317(f225(x71621),x71622),x71624))+P1(f317(f317(f225(x71621),x71622),f317(f317(f74(x71621),x71623),x71624)))
% 92.29/92.11 [7203]~P107(x72031)+P1(f317(f317(f224(x72031),x72032),x72033))+P1(f317(f317(f224(x72031),x72032),x72034))+~P1(f317(f317(f224(x72031),x72032),f317(f317(f223(x72031),x72034),x72033)))
% 92.29/92.11 [7204]~P107(x72041)+P1(f317(f317(f225(x72041),x72042),x72043))+P1(f317(f317(f225(x72041),x72042),x72044))+~P1(f317(f317(f225(x72041),x72042),f317(f317(f223(x72041),x72044),x72043)))
% 92.29/92.11 [7498]~P108(x74982)+~P60(x74981)+~P1(f317(f317(f225(f904(x74981,x74982)),x74983),x74984))+P1(f317(f317(f224(f904(x74981,x74982)),x74983),x74984))
% 92.29/92.11 [7864]~P64(x78641)+~P1(f317(f317(f225(x78641),x78644),f2(x78641)))+~P1(f317(f317(f224(x78641),x78643),f317(f317(f281(x78641),x78642),x78644)))+P1(f317(f317(f224(x78641),x78642),f317(f317(f75(x78641),x78643),x78644)))
% 92.29/92.11 [7865]~P64(x78651)+~P1(f317(f317(f225(x78651),x78654),f2(x78651)))+~P1(f317(f317(f224(x78651),x78653),f317(f317(f75(x78651),x78652),x78654)))+P1(f317(f317(f224(x78651),x78652),f317(f317(f281(x78651),x78653),x78654)))
% 92.29/92.11 [7866]~P64(x78661)+~P1(f317(f317(f225(x78661),x78664),f2(x78661)))+~P1(f317(f317(f225(x78661),x78663),f317(f317(f281(x78661),x78662),x78664)))+P1(f317(f317(f225(x78661),x78662),f317(f317(f75(x78661),x78663),x78664)))
% 92.29/92.11 [7867]~P64(x78671)+~P1(f317(f317(f225(x78671),x78674),f2(x78671)))+~P1(f317(f317(f225(x78671),x78673),f317(f317(f75(x78671),x78672),x78674)))+P1(f317(f317(f225(x78671),x78672),f317(f317(f281(x78671),x78673),x78674)))
% 92.29/92.11 [7974]~P111(x79741)+~P1(f317(f317(f225(x79741),x79742),f2(x79741)))+~P1(f317(f317(f224(x79741),x79744),x79743))+P1(f317(f317(f224(x79741),f317(f317(f75(x79741),x79742),x79743)),f317(f317(f75(x79741),x79742),x79744)))
% 92.29/92.11 [7975]~P134(x79751)+~P1(f317(f317(f224(x79751),x79752),f2(x79751)))+~P1(f317(f317(f224(x79751),x79754),x79753))+P1(f317(f317(f224(x79751),f317(f317(f75(x79751),x79752),x79753)),f317(f317(f75(x79751),x79752),x79754)))
% 92.29/92.11 [7976]~P134(x79761)+~P1(f317(f317(f224(x79761),x79763),f2(x79761)))+~P1(f317(f317(f224(x79761),x79764),x79762))+P1(f317(f317(f224(x79761),f317(f317(f75(x79761),x79762),x79763)),f317(f317(f75(x79761),x79764),x79763)))
% 92.29/92.11 [7977]~P63(x79771)+~P1(f317(f317(f224(x79771),x79773),f2(x79771)))+~P1(f317(f317(f224(x79771),x79774),x79772))+P1(f317(f317(f224(x79771),f317(f317(f281(x79771),x79772),x79773)),f317(f317(f281(x79771),x79774),x79773)))
% 92.29/92.11 [7978]~P111(x79781)+~P1(f317(f317(f225(x79781),x79782),f2(x79781)))+~P1(f317(f317(f225(x79781),x79784),x79783))+P1(f317(f317(f225(x79781),f317(f317(f75(x79781),x79782),x79783)),f317(f317(f75(x79781),x79782),x79784)))
% 92.29/92.11 [7979]~P111(x79791)+~P1(f317(f317(f225(x79791),x79792),f2(x79791)))+~P1(f317(f317(f225(x79791),x79794),x79793))+P1(f317(f317(f225(x79791),f317(f317(f75(x79791),x79792),x79793)),f317(f317(f75(x79791),x79792),x79794)))
% 92.29/92.11 [7980]~P111(x79801)+~P1(f317(f317(f225(x79801),x79803),f2(x79801)))+~P1(f317(f317(f225(x79801),x79804),x79802))+P1(f317(f317(f225(x79801),f317(f317(f75(x79801),x79802),x79803)),f317(f317(f75(x79801),x79804),x79803)))
% 92.29/92.11 [7981]~P111(x79811)+~P1(f317(f317(f225(x79811),x79813),f2(x79811)))+~P1(f317(f317(f225(x79811),x79814),x79812))+P1(f317(f317(f225(x79811),f317(f317(f75(x79811),x79812),x79813)),f317(f317(f75(x79811),x79814),x79813)))
% 92.29/92.11 [7982]~P111(x79821)+~P1(f317(f317(f225(x79821),x79822),f2(x79821)))+~P1(f317(f317(f225(x79821),x79824),x79823))+P1(f317(f317(f225(x79821),f317(f317(f75(x79821),x79822),x79823)),f317(f317(f75(x79821),x79822),x79824)))
% 92.29/92.11 [7983]~P64(x79831)+~P1(f317(f317(f225(x79831),x79833),f2(x79831)))+~P1(f317(f317(f225(x79831),x79834),x79832))+P1(f317(f317(f225(x79831),f317(f317(f281(x79831),x79832),x79833)),f317(f317(f281(x79831),x79834),x79833)))
% 92.29/92.11 [7984]~P110(x79841)+~P1(f317(f317(f225(x79841),f72(x79841)),x79842))+~P1(f317(f317(f224(a897),x79843),x79844))+P1(f317(f317(f224(x79841),f317(f317(f234(x79841),x79842),x79843)),f317(f317(f234(x79841),x79842),x79844)))
% 92.29/92.11 [7985]~P110(x79851)+~P1(f317(f317(f224(x79851),f72(x79851)),x79852))+~P1(f317(f317(f224(a897),x79853),x79854))+P1(f317(f317(f224(x79851),f317(f317(f234(x79851),x79852),x79853)),f317(f317(f234(x79851),x79852),x79854)))
% 92.29/92.11 [7986]~P110(x79861)+~P1(f317(f317(f225(x79861),f72(x79861)),x79862))+~P1(f317(f317(f225(a897),x79863),x79864))+P1(f317(f317(f225(x79861),f317(f317(f234(x79861),x79862),x79863)),f317(f317(f234(x79861),x79862),x79864)))
% 92.29/92.11 [7987]~P110(x79871)+~P1(f317(f317(f225(x79871),f72(x79871)),x79872))+~P1(f317(f317(f225(a897),x79873),x79874))+P1(f317(f317(f225(x79871),f317(f317(f234(x79871),x79872),x79873)),f317(f317(f234(x79871),x79872),x79874)))
% 92.29/92.11 [8014]P1(f317(f317(f225(a897),f2(a897)),f317(x80141,x80142)))+~P1(f317(f29(x80143),x80144))+~P1(f317(f317(f319(x80143),x80142),x80144))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x80143,a897),x80141),x80144)))
% 92.29/92.11 [8023]~P111(x80231)+~P1(f317(f317(f225(x80231),f2(x80231)),x80232))+~P1(f317(f317(f224(x80231),x80233),x80234))+P1(f317(f317(f224(x80231),f317(f317(f75(x80231),x80232),x80233)),f317(f317(f75(x80231),x80232),x80234)))
% 92.29/92.11 [8024]~P136(x80241)+~P1(f317(f317(f224(x80241),x80243),x80244))+~P1(f317(f317(f224(x80241),f2(x80241)),x80242))+P1(f317(f317(f224(x80241),f317(f317(f75(x80241),x80242),x80243)),f317(f317(f75(x80241),x80242),x80244)))
% 92.29/92.11 [8025]~P135(x80251)+~P1(f317(f317(f224(x80251),x80253),x80254))+~P1(f317(f317(f224(x80251),f2(x80251)),x80252))+P1(f317(f317(f224(x80251),f317(f317(f75(x80251),x80252),x80253)),f317(f317(f75(x80251),x80252),x80254)))
% 92.29/92.11 [8026]~P136(x80261)+~P1(f317(f317(f224(x80261),x80262),x80264))+~P1(f317(f317(f224(x80261),f2(x80261)),x80263))+P1(f317(f317(f224(x80261),f317(f317(f75(x80261),x80262),x80263)),f317(f317(f75(x80261),x80264),x80263)))
% 92.29/92.11 [8027]~P110(x80271)+~P1(f317(f317(f224(x80271),x80272),x80274))+~P1(f317(f317(f224(x80271),f2(x80271)),x80272))+P1(f317(f317(f224(x80271),f317(f317(f234(x80271),x80272),x80273)),f317(f317(f234(x80271),x80274),x80273)))
% 92.29/92.11 [8028]~P63(x80281)+~P1(f317(f317(f224(x80281),x80282),x80284))+~P1(f317(f317(f224(x80281),f2(x80281)),x80283))+P1(f317(f317(f224(x80281),f317(f317(f281(x80281),x80282),x80283)),f317(f317(f281(x80281),x80284),x80283)))
% 92.29/92.11 [8029]~P111(x80291)+~P1(f317(f317(f225(x80291),x80293),x80294))+~P1(f317(f317(f225(x80291),f2(x80291)),x80292))+P1(f317(f317(f225(x80291),f317(f317(f75(x80291),x80292),x80293)),f317(f317(f75(x80291),x80292),x80294)))
% 92.29/92.11 [8030]~P112(x80301)+~P1(f317(f317(f225(x80301),x80303),x80304))+~P1(f317(f317(f225(x80301),f2(x80301)),x80302))+P1(f317(f317(f225(x80301),f317(f317(f75(x80301),x80302),x80303)),f317(f317(f75(x80301),x80302),x80304)))
% 92.29/92.11 [8031]~P127(x80311)+~P1(f317(f317(f225(x80311),x80313),x80314))+~P1(f317(f317(f225(x80311),f2(x80311)),x80312))+P1(f317(f317(f225(x80311),f317(f317(f75(x80311),x80312),x80313)),f317(f317(f75(x80311),x80312),x80314)))
% 92.29/92.11 [8032]~P111(x80321)+~P1(f317(f317(f225(x80321),x80322),x80324))+~P1(f317(f317(f225(x80321),f2(x80321)),x80323))+P1(f317(f317(f225(x80321),f317(f317(f75(x80321),x80322),x80323)),f317(f317(f75(x80321),x80324),x80323)))
% 92.29/92.11 [8033]~P127(x80331)+~P1(f317(f317(f225(x80331),x80332),x80334))+~P1(f317(f317(f225(x80331),f2(x80331)),x80333))+P1(f317(f317(f225(x80331),f317(f317(f75(x80331),x80332),x80333)),f317(f317(f75(x80331),x80334),x80333)))
% 92.29/92.11 [8034]~P111(x80341)+~P1(f317(f317(f225(x80341),x80343),x80344))+~P1(f317(f317(f225(x80341),f2(x80341)),x80342))+P1(f317(f317(f225(x80341),f317(f317(f75(x80341),x80342),x80343)),f317(f317(f75(x80341),x80342),x80344)))
% 92.29/92.11 [8035]~P64(x80351)+~P1(f317(f317(f225(x80351),x80352),x80354))+~P1(f317(f317(f225(x80351),f2(x80351)),x80353))+P1(f317(f317(f225(x80351),f317(f317(f281(x80351),x80352),x80353)),f317(f317(f281(x80351),x80354),x80353)))
% 92.29/92.11 [8077]~P109(x80772)+P1(f317(f317(f225(f904(x80771,x80772)),x80774),x80773))+~P1(f317(f317(f224(f904(x80771,x80772)),x80774),x80773))+P1(f317(f317(f224(f904(x80771,x80772)),x80773),x80774))
% 92.29/92.11 [8117]P1(f317(f317(f319(x81171),x81172),x81173))+P1(f317(f317(f319(x81171),x81172),x81174))+~P1(f317(f317(f224(f904(x81171,a893)),x81174),x81173))+P1(f317(f317(f225(f904(x81171,a893)),x81174),f317(f317(f299(x81171),x81172),x81173)))
% 92.29/92.11 [8228]~P120(x82282)+E(x82281,f2(x82282))+P1(f317(f317(f277(x82282),x82283),x82284))+~P1(f317(f317(f277(x82282),f317(f317(f75(x82282),x82283),x82281)),f317(f317(f75(x82282),x82284),x82281)))
% 92.29/92.11 [8229]~P120(x82292)+E(x82291,f2(x82292))+P1(f317(f317(f277(x82292),x82293),x82294))+~P1(f317(f317(f277(x82292),f317(f317(f75(x82292),x82291),x82293)),f317(f317(f75(x82292),x82291),x82294)))
% 92.29/92.11 [8278]P1(f317(f317(f319(x82781),x82782),x82783))+P1(f317(f317(f319(x82781),x82782),x82784))+~P1(f317(f317(f225(f904(x82781,a893)),x82784),f317(f317(f299(x82781),x82782),x82783)))+P1(f317(f317(f224(f904(x82781,a893)),x82784),x82783))
% 92.29/92.11 [8343]~P111(x83431)+P1(f317(f317(f225(x83431),x83433),x83432))+P1(f317(f317(f225(x83431),x83432),x83433))+~P1(f317(f317(f225(x83431),f317(f317(f75(x83431),x83434),x83432)),f317(f317(f75(x83431),x83434),x83433)))
% 92.29/92.11 [8344]~P111(x83441)+P1(f317(f317(f225(x83441),x83443),x83442))+P1(f317(f317(f225(x83441),x83442),x83443))+~P1(f317(f317(f225(x83441),f317(f317(f75(x83441),x83442),x83444)),f317(f317(f75(x83441),x83443),x83444)))
% 92.29/92.11 [8356]~P111(x83561)+P1(f317(f317(f225(x83561),x83564),f2(x83561)))+P1(f317(f317(f225(x83561),x83562),x83563))+~P1(f317(f317(f225(x83561),f317(f317(f75(x83561),x83562),x83564)),f317(f317(f75(x83561),x83563),x83564)))
% 92.29/92.11 [8357]~P111(x83571)+P1(f317(f317(f225(x83571),x83574),f2(x83571)))+P1(f317(f317(f225(x83571),x83572),x83573))+~P1(f317(f317(f225(x83571),f317(f317(f75(x83571),x83574),x83572)),f317(f317(f75(x83571),x83574),x83573)))
% 92.29/92.11 [8360]~P111(x83601)+P1(f317(f317(f225(x83601),x83602),x83603))+P1(f317(f317(f225(x83601),f2(x83601)),x83604))+~P1(f317(f317(f225(x83601),f317(f317(f75(x83601),x83604),x83603)),f317(f317(f75(x83601),x83604),x83602)))
% 92.29/92.11 [8361]~P111(x83611)+P1(f317(f317(f225(x83611),x83612),x83613))+P1(f317(f317(f225(x83611),f2(x83611)),x83614))+~P1(f317(f317(f225(x83611),f317(f317(f75(x83611),x83613),x83614)),f317(f317(f75(x83611),x83612),x83614)))
% 92.29/92.11 [8374]~P111(x83741)+P1(f317(f317(f225(x83741),x83742),f2(x83741)))+P1(f317(f317(f225(x83741),f2(x83741)),x83742))+~P1(f317(f317(f225(x83741),f317(f317(f75(x83741),x83743),x83742)),f317(f317(f75(x83741),x83744),x83742)))
% 92.29/92.11 [8375]~P111(x83751)+P1(f317(f317(f225(x83751),x83752),f2(x83751)))+P1(f317(f317(f225(x83751),f2(x83751)),x83752))+~P1(f317(f317(f225(x83751),f317(f317(f75(x83751),x83752),x83753)),f317(f317(f75(x83751),x83752),x83754)))
% 92.29/92.11 [8404]~P111(x84041)+~P1(f317(f317(f225(x84041),x84044),f2(x84041)))+P1(f317(f317(f224(x84041),x84042),x84043))+~P1(f317(f317(f224(x84041),f317(f317(f75(x84041),x84044),x84043)),f317(f317(f75(x84041),x84044),x84042)))
% 92.29/92.11 [8405]~P111(x84051)+~P1(f317(f317(f225(x84051),x84054),f2(x84051)))+P1(f317(f317(f225(x84051),x84052),x84053))+~P1(f317(f317(f225(x84051),f317(f317(f75(x84051),x84054),x84053)),f317(f317(f75(x84051),x84054),x84052)))
% 92.29/92.11 [8415]~P110(x84153)+~P1(f317(f317(f225(x84153),f72(x84153)),x84154))+P1(f317(f317(f224(a897),x84151),x84152))+~P1(f317(f317(f224(x84153),f317(f317(f234(x84153),x84154),x84151)),f317(f317(f234(x84153),x84154),x84152)))
% 92.29/92.11 [8416]~P110(x84163)+~P1(f317(f317(f225(x84163),f72(x84163)),x84164))+P1(f317(f317(f224(a897),x84161),x84162))+~P1(f317(f317(f224(x84163),f317(f317(f234(x84163),x84164),x84161)),f317(f317(f234(x84163),x84164),x84162)))
% 92.29/92.11 [8417]~P110(x84173)+~P1(f317(f317(f225(x84173),f72(x84173)),x84174))+P1(f317(f317(f225(a897),x84171),x84172))+~P1(f317(f317(f225(x84173),f317(f317(f234(x84173),x84174),x84171)),f317(f317(f234(x84173),x84174),x84172)))
% 92.29/92.11 [8418]~P110(x84183)+~P1(f317(f317(f225(x84183),f72(x84183)),x84184))+P1(f317(f317(f225(a897),x84181),x84182))+~P1(f317(f317(f225(x84183),f317(f317(f234(x84183),x84184),x84181)),f317(f317(f234(x84183),x84184),x84182)))
% 92.29/92.11 [8428]~P111(x84281)+P1(f317(f317(f224(x84281),x84282),x84283))+~P1(f317(f317(f225(x84281),f2(x84281)),x84284))+~P1(f317(f317(f224(x84281),f317(f317(f75(x84281),x84284),x84282)),f317(f317(f75(x84281),x84284),x84283)))
% 92.29/92.11 [8429]~P127(x84291)+P1(f317(f317(f224(x84291),x84292),x84293))+~P1(f317(f317(f225(x84291),f2(x84291)),x84294))+~P1(f317(f317(f224(x84291),f317(f317(f75(x84291),x84294),x84292)),f317(f317(f75(x84291),x84294),x84293)))
% 92.29/92.11 [8430]~P127(x84301)+P1(f317(f317(f224(x84301),x84302),x84303))+~P1(f317(f317(f225(x84301),f2(x84301)),x84304))+~P1(f317(f317(f224(x84301),f317(f317(f75(x84301),x84302),x84304)),f317(f317(f75(x84301),x84303),x84304)))
% 92.29/92.11 [8431]~P111(x84311)+P1(f317(f317(f225(x84311),x84312),x84313))+~P1(f317(f317(f225(x84311),f2(x84311)),x84314))+~P1(f317(f317(f225(x84311),f317(f317(f75(x84311),x84314),x84312)),f317(f317(f75(x84311),x84314),x84313)))
% 92.29/92.11 [8432]~P127(x84321)+P1(f317(f317(f225(x84321),x84322),x84323))+~P1(f317(f317(f224(x84321),f2(x84321)),x84324))+~P1(f317(f317(f225(x84321),f317(f317(f75(x84321),x84324),x84322)),f317(f317(f75(x84321),x84324),x84323)))
% 92.29/92.11 [8433]~P128(x84331)+P1(f317(f317(f225(x84331),x84332),x84333))+~P1(f317(f317(f224(x84331),f2(x84331)),x84334))+~P1(f317(f317(f225(x84331),f317(f317(f75(x84331),x84334),x84332)),f317(f317(f75(x84331),x84334),x84333)))
% 92.29/92.11 [8434]~P110(x84341)+~P1(f317(f317(f224(x84341),f2(x84341)),x84343))+P1(f317(f317(f225(x84341),x84342),x84343))+~P1(f317(f317(f225(x84341),f317(f317(f234(x84341),x84342),x84344)),f317(f317(f234(x84341),x84343),x84344)))
% 92.29/92.11 [8435]~P127(x84351)+P1(f317(f317(f225(x84351),x84352),x84353))+~P1(f317(f317(f224(x84351),f2(x84351)),x84354))+~P1(f317(f317(f225(x84351),f317(f317(f75(x84351),x84352),x84354)),f317(f317(f75(x84351),x84353),x84354)))
% 92.29/92.11 [8436]~P128(x84361)+P1(f317(f317(f225(x84361),x84362),x84363))+~P1(f317(f317(f224(x84361),f2(x84361)),x84364))+~P1(f317(f317(f225(x84361),f317(f317(f75(x84361),x84362),x84364)),f317(f317(f75(x84361),x84363),x84364)))
% 92.29/92.11 [8480]P1(f317(f317(f319(x84801),x84802),x84803))+~P1(f317(f317(f224(f904(x84801,a893)),x84803),x84804))+~P1(f317(f317(f225(f904(x84801,a893)),x84803),x84804))+P1(f317(f317(f225(f904(x84801,a893)),x84803),f317(f317(f299(x84801),x84802),x84804)))
% 92.29/92.11 [8512]~P145(x85121)+~P121(x85121)+P1(f317(f317(f277(x85121),x85122),f317(f317(f74(x85121),f837(x85122,x85123,x85121)),f2(x85121))))+~P1(f317(x85123,f317(f317(f75(x85121),x85122),x85124)))
% 92.29/92.11 [8859]E(f317(f317(f23(a1),f392(x88591,x88592,x88593,x88594)),f393(x88591,x88592,x88593,x88594)),x88594)+~P1(f317(f317(f225(a1),f2(a1)),x88593))+~P1(f317(f317(f224(a1),x88591),x88594))+P1(f317(f317(f224(a1),x88591),f317(f317(f74(a1),x88594),x88593)))
% 92.29/92.11 [8860]E(f317(f317(f23(a1),f410(x88601,x88602,x88603,x88604)),f411(x88601,x88602,x88603,x88604)),x88604)+~P1(f317(f317(f225(a1),f2(a1)),x88603))+~P1(f317(f317(f225(a1),x88601),x88604))+P1(f317(f317(f225(a1),x88601),f317(f317(f74(a1),x88604),x88603)))
% 92.29/92.11 [9010]~E(f317(f317(f154(x90101),x90103),f651(x90104,x90103,x90101,x90102)),f317(f317(f154(x90101),x90104),f651(x90104,x90103,x90101,x90102)))+E(f317(f317(f165(x90101),x90102),x90103),f317(f317(f165(x90101),x90102),x90104))+~P1(f317(f317(f224(a897),x90102),f317(f179(f898(x90101)),x90103)))+~P1(f317(f317(f224(a897),x90102),f317(f179(f898(x90101)),x90104)))
% 92.29/92.11 [9072]~P1(f317(f317(f225(a1),f2(a1)),x90723))+~P1(f317(f317(f224(a1),x90721),x90724))+P1(f317(f317(f319(a1),f392(x90721,x90722,x90723,x90724)),x90722))+P1(f317(f317(f224(a1),x90721),f317(f317(f74(a1),x90724),x90723)))
% 92.29/92.11 [9073]~P1(f317(f317(f225(a1),f2(a1)),x90733))+~P1(f317(f317(f225(a1),x90731),x90734))+P1(f317(f317(f319(a1),f410(x90731,x90732,x90733,x90734)),x90732))+P1(f317(f317(f225(a1),x90731),f317(f317(f74(a1),x90734),x90733)))
% 92.29/92.11 [9113]~P107(x91131)+~P1(f317(f29(x91131),x91133))+~P1(f317(f317(f319(x91131),x91134),x91133))+P1(f317(f317(f224(x91131),f317(f317(f59(x91131,x91131,f228(x91131)),x91132),x91133)),f317(f317(f228(x91131),x91134),x91132)))
% 92.29/92.11 [9114]~P104(x91141)+~P1(f317(f29(x91141),x91143))+~P1(f317(f317(f319(x91141),x91144),x91143))+P1(f317(f317(f224(x91141),f317(f317(f59(x91141,x91141,f92(x91141)),x91142),x91143)),f317(f317(f92(x91141),x91144),x91142)))
% 92.29/92.11 [9121]~P8(x91212,x91213,x91214)+~P1(f317(f29(x91212),x91213))+P1(f317(f317(f277(a897),x91211),f317(f30(x91212),x91213)))+P1(f317(f317(f319(f904(x91212,a893)),f840(x91211,x91214,x91213,x91212)),f317(f317(f56(x91212),x91213),x91214)))
% 92.29/92.11 [9159]E(f317(f317(f165(x91591),x91592),x91593),f317(f317(f165(x91591),x91592),x91594))+P1(f317(f317(f225(a897),f651(x91593,x91594,x91591,x91592)),x91592))+~P1(f317(f317(f224(a897),x91592),f317(f179(f898(x91591)),x91593)))+~P1(f317(f317(f224(a897),x91592),f317(f179(f898(x91591)),x91594)))
% 92.29/92.11 [9164]~P1(f317(f317(f225(a1),f2(a1)),x91643))+~P1(f317(f317(f224(a1),x91641),x91642))+P1(f317(f317(f319(a1),f393(x91641,x91644,x91643,x91642)),f293(a1,f72(a1),x91643)))+P1(f317(f317(f224(a1),x91641),f317(f317(f74(a1),x91642),x91643)))
% 92.29/92.11 [9165]~P1(f317(f317(f225(a1),f2(a1)),x91653))+~P1(f317(f317(f225(a1),x91651),x91652))+P1(f317(f317(f319(a1),f411(x91651,x91654,x91653,x91652)),f293(a1,f72(a1),x91653)))+P1(f317(f317(f225(a1),x91651),f317(f317(f74(a1),x91652),x91653)))
% 92.29/92.11 [9492]~P107(x94921)+~P1(f317(f29(x94921),x94924))+P1(f317(f317(f319(x94921),f572(x94922,x94923,x94924,x94921)),x94924))+P1(f317(f317(f224(x94921),f317(f317(f59(x94921,x94921,f223(x94921)),x94922),x94924)),f317(f317(f223(x94921),x94923),x94922)))
% 92.29/92.11 [9493]~P98(x94931)+~P1(f317(f29(x94931),x94934))+P1(f317(f317(f319(x94931),f579(x94932,x94933,x94934,x94931)),x94934))+P1(f317(f317(f224(x94931),f317(f317(f59(x94931,x94931,f91(x94931)),x94932),x94934)),f317(f317(f91(x94931),x94933),x94932)))
% 92.29/92.11 [9629]~P107(x96291)+~P1(f317(f29(x96291),x96293))+~P1(f317(f317(f224(x96291),f572(x96292,x96294,x96293,x96291)),x96294))+P1(f317(f317(f224(x96291),f317(f317(f59(x96291,x96291,f223(x96291)),x96292),x96293)),f317(f317(f223(x96291),x96294),x96292)))
% 92.29/92.11 [9630]~P98(x96301)+~P1(f317(f29(x96301),x96303))+~P1(f317(f317(f224(x96301),f579(x96302,x96304,x96303,x96301)),x96304))+P1(f317(f317(f224(x96301),f317(f317(f59(x96301,x96301,f91(x96301)),x96302),x96303)),f317(f317(f91(x96301),x96304),x96302)))
% 92.29/92.11 [9632]~P1(f317(f317(f224(a1),f2(a1)),x96324))+~P1(f317(f317(f225(a1),f2(a1)),x96323))+~P1(f317(f317(f225(a1),x96324),x96321))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96321),f41(a1,x96322,x96323))),x96324)),f317(f317(f75(a1),x96321),x96323)))
% 92.29/92.11 [10018]E(x100181,x100182)+P1(f317(f317(f319(f903(f898(x100183),f898(x100183))),f317(f317(f242(f898(x100183),f898(x100183)),x100182),x100181)),f137(x100183,x100184)))+P1(f317(f317(f319(f903(f898(x100183),f898(x100183))),f317(f317(f242(f898(x100183),f898(x100183)),x100181),x100182)),f137(x100183,x100184)))+~P1(f317(f317(f319(f903(x100183,x100183)),f317(f317(f242(x100183,x100183),f625(x100181,x100182,x100184,x100183)),f627(x100181,x100182,x100184,x100183))),x100184))
% 92.29/92.11 [10019]E(x100191,x100192)+P1(f317(f317(f319(f903(f898(x100193),f898(x100193))),f317(f317(f242(f898(x100193),f898(x100193)),x100192),x100191)),f137(x100193,x100194)))+P1(f317(f317(f319(f903(f898(x100193),f898(x100193))),f317(f317(f242(f898(x100193),f898(x100193)),x100191),x100192)),f137(x100193,x100194)))+~P1(f317(f317(f319(f903(x100193,x100193)),f317(f317(f242(x100193,x100193),f627(x100191,x100192,x100194,x100193)),f625(x100191,x100192,x100194,x100193))),x100194))
% 92.29/92.11 [7562]~P107(x75621)+~P1(f317(f317(f224(x75621),x75623),x75624))+~P1(f317(f317(f224(x75621),x75622),x75624))+P1(f317(f317(f224(x75621),f317(f317(f223(x75621),x75622),x75623)),x75624))
% 92.29/92.11 [7563]~P107(x75631)+~P1(f317(f317(f224(x75631),x75633),x75634))+~P1(f317(f317(f224(x75631),x75632),x75634))+P1(f317(f317(f224(x75631),f317(f317(f223(x75631),x75632),x75633)),x75634))
% 92.29/92.11 [7564]~P107(x75641)+~P1(f317(f317(f224(x75641),x75643),x75644))+~P1(f317(f317(f224(x75641),x75642),x75644))+P1(f317(f317(f224(x75641),f317(f317(f223(x75641),x75642),x75643)),x75644))
% 92.29/92.11 [7565]~P98(x75651)+~P1(f317(f317(f224(x75651),x75653),x75654))+~P1(f317(f317(f224(x75651),x75652),x75654))+P1(f317(f317(f224(x75651),f317(f317(f91(x75651),x75652),x75653)),x75654))
% 92.29/92.11 [7566]~P98(x75661)+~P1(f317(f317(f224(x75661),x75663),x75664))+~P1(f317(f317(f224(x75661),x75662),x75664))+P1(f317(f317(f224(x75661),f317(f317(f91(x75661),x75662),x75663)),x75664))
% 92.29/92.11 [7567]~P98(x75671)+~P1(f317(f317(f224(x75671),x75673),x75674))+~P1(f317(f317(f224(x75671),x75672),x75674))+P1(f317(f317(f224(x75671),f317(f317(f91(x75671),x75672),x75673)),x75674))
% 92.29/92.11 [7568]~P107(x75681)+~P1(f317(f317(f225(x75681),x75683),x75684))+~P1(f317(f317(f225(x75681),x75682),x75684))+P1(f317(f317(f225(x75681),f317(f317(f223(x75681),x75682),x75683)),x75684))
% 92.29/92.11 [7807]~P3(x78071)+E(f317(f317(f74(x78071),f317(f317(f31(x78071),x78072),x78073)),f317(f317(f31(x78071),x78074),x78073)),f317(f317(f31(x78071),f317(f317(f74(x78071),x78072),x78074)),x78073))+~P1(f317(f317(f277(x78071),x78073),x78074))+~P1(f317(f317(f277(x78071),x78073),x78072))
% 92.29/92.11 [7890]~E(x78901,x78903)+E(f129(a897,f317(f292(a897,x78901),x78902)),f317(f317(f141(a897),x78903),x78904))+~E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x78901),f72(a897))),x78902)),x78904)+~P1(f317(f317(f225(a897),x78901),x78902))
% 92.29/92.11 [7898]~P107(x78981)+P1(f317(f317(f224(x78981),x78982),x78983))+P1(f317(f317(f224(x78981),x78984),x78983))+~P1(f317(f317(f224(x78981),f317(f317(f228(x78981),x78984),x78982)),x78983))
% 92.29/92.11 [7899]~P107(x78991)+P1(f317(f317(f225(x78991),x78992),x78993))+P1(f317(f317(f225(x78991),x78994),x78993))+~P1(f317(f317(f225(x78991),f317(f317(f228(x78991),x78994),x78992)),x78993))
% 92.29/92.11 [8175]~P63(x81751)+~P1(f317(f317(f225(x81751),f2(x81751)),x81753))+~P1(f317(f317(f224(x81751),x81752),f317(f317(f281(x81751),x81754),x81753)))+P1(f317(f317(f224(x81751),f317(f317(f75(x81751),x81752),x81753)),x81754))
% 92.29/92.11 [8176]~P64(x81761)+~P1(f317(f317(f225(x81761),f2(x81761)),x81763))+~P1(f317(f317(f224(x81761),x81762),f317(f317(f281(x81761),x81764),x81763)))+P1(f317(f317(f224(x81761),f317(f317(f75(x81761),x81762),x81763)),x81764))
% 92.29/92.11 [8177]~P63(x81771)+~P1(f317(f317(f225(x81771),f2(x81771)),x81773))+~P1(f317(f317(f224(x81771),x81772),f317(f317(f75(x81771),x81774),x81773)))+P1(f317(f317(f224(x81771),f317(f317(f281(x81771),x81772),x81773)),x81774))
% 92.29/92.11 [8178]~P64(x81781)+~P1(f317(f317(f225(x81781),f2(x81781)),x81783))+~P1(f317(f317(f224(x81781),x81782),f317(f317(f75(x81781),x81784),x81783)))+P1(f317(f317(f224(x81781),f317(f317(f281(x81781),x81782),x81783)),x81784))
% 92.29/92.11 [8179]~P64(x81791)+~P1(f317(f317(f225(x81791),f2(x81791)),x81793))+~P1(f317(f317(f224(x81791),x81792),f317(f317(f75(x81791),x81794),x81793)))+P1(f317(f317(f224(x81791),f317(f317(f281(x81791),x81792),x81793)),x81794))
% 92.29/92.11 [8180]~P63(x81801)+~P1(f317(f317(f225(x81801),f2(x81801)),x81803))+~P1(f317(f317(f225(x81801),x81802),f317(f317(f281(x81801),x81804),x81803)))+P1(f317(f317(f225(x81801),f317(f317(f75(x81801),x81802),x81803)),x81804))
% 92.29/92.11 [8181]~P64(x81811)+~P1(f317(f317(f225(x81811),f2(x81811)),x81813))+~P1(f317(f317(f225(x81811),x81812),f317(f317(f281(x81811),x81814),x81813)))+P1(f317(f317(f225(x81811),f317(f317(f75(x81811),x81812),x81813)),x81814))
% 92.29/92.11 [8182]~P63(x81821)+~P1(f317(f317(f225(x81821),f2(x81821)),x81823))+~P1(f317(f317(f225(x81821),x81822),f317(f317(f75(x81821),x81824),x81823)))+P1(f317(f317(f225(x81821),f317(f317(f281(x81821),x81822),x81823)),x81824))
% 92.29/92.11 [8183]~P64(x81831)+~P1(f317(f317(f225(x81831),f2(x81831)),x81833))+~P1(f317(f317(f225(x81831),x81832),f317(f317(f75(x81831),x81834),x81833)))+P1(f317(f317(f225(x81831),f317(f317(f281(x81831),x81832),x81833)),x81834))
% 92.29/92.11 [8184]~P64(x81841)+~P1(f317(f317(f225(x81841),f2(x81841)),x81843))+~P1(f317(f317(f225(x81841),x81842),f317(f317(f75(x81841),x81844),x81843)))+P1(f317(f317(f225(x81841),f317(f317(f281(x81841),x81842),x81843)),x81844))
% 92.29/92.11 [8313]~P63(x83131)+~P1(f317(f317(f225(x83131),f2(x83131)),x83134))+P1(f317(f317(f224(x83131),x83132),f317(f317(f75(x83131),x83133),x83134)))+~P1(f317(f317(f224(x83131),f317(f317(f281(x83131),x83132),x83134)),x83133))
% 92.29/92.11 [8314]~P63(x83141)+~P1(f317(f317(f225(x83141),f2(x83141)),x83144))+P1(f317(f317(f224(x83141),x83142),f317(f317(f281(x83141),x83143),x83144)))+~P1(f317(f317(f224(x83141),f317(f317(f75(x83141),x83142),x83144)),x83143))
% 92.29/92.11 [8315]~P64(x83151)+~P1(f317(f317(f225(x83151),f2(x83151)),x83154))+P1(f317(f317(f224(x83151),x83152),f317(f317(f281(x83151),x83153),x83154)))+~P1(f317(f317(f224(x83151),f317(f317(f75(x83151),x83152),x83154)),x83153))
% 92.29/92.11 [8316]~P64(x83161)+~P1(f317(f317(f225(x83161),f2(x83161)),x83164))+P1(f317(f317(f224(x83161),x83162),f317(f317(f75(x83161),x83163),x83164)))+~P1(f317(f317(f224(x83161),f317(f317(f281(x83161),x83162),x83164)),x83163))
% 92.29/92.11 [8317]~P64(x83171)+~P1(f317(f317(f225(x83171),f2(x83171)),x83174))+P1(f317(f317(f224(x83171),x83172),f317(f317(f281(x83171),x83173),x83174)))+~P1(f317(f317(f224(x83171),f317(f317(f75(x83171),x83172),x83174)),x83173))
% 92.29/92.11 [8318]~P63(x83181)+~P1(f317(f317(f225(x83181),f2(x83181)),x83184))+P1(f317(f317(f225(x83181),x83182),f317(f317(f75(x83181),x83183),x83184)))+~P1(f317(f317(f225(x83181),f317(f317(f281(x83181),x83182),x83184)),x83183))
% 92.29/92.11 [8319]~P63(x83191)+~P1(f317(f317(f225(x83191),f2(x83191)),x83194))+P1(f317(f317(f225(x83191),x83192),f317(f317(f281(x83191),x83193),x83194)))+~P1(f317(f317(f225(x83191),f317(f317(f75(x83191),x83192),x83194)),x83193))
% 92.29/92.11 [8320]~P64(x83201)+~P1(f317(f317(f225(x83201),f2(x83201)),x83204))+P1(f317(f317(f225(x83201),x83202),f317(f317(f281(x83201),x83203),x83204)))+~P1(f317(f317(f225(x83201),f317(f317(f75(x83201),x83202),x83204)),x83203))
% 92.29/92.11 [8321]~P64(x83211)+~P1(f317(f317(f225(x83211),f2(x83211)),x83214))+P1(f317(f317(f225(x83211),x83212),f317(f317(f75(x83211),x83213),x83214)))+~P1(f317(f317(f225(x83211),f317(f317(f281(x83211),x83212),x83214)),x83213))
% 92.29/92.11 [8322]~P64(x83221)+~P1(f317(f317(f225(x83221),f2(x83221)),x83224))+P1(f317(f317(f225(x83221),x83222),f317(f317(f281(x83221),x83223),x83224)))+~P1(f317(f317(f225(x83221),f317(f317(f75(x83221),x83222),x83224)),x83223))
% 92.29/92.11 [8483]~P64(x84831)+~P1(f317(f317(f225(x84831),x84833),f2(x84831)))+~P1(f317(f317(f224(x84831),f317(f317(f281(x84831),x84834),x84833)),x84832))+P1(f317(f317(f224(x84831),f317(f317(f75(x84831),x84832),x84833)),x84834))
% 92.29/92.11 [8484]~P64(x84841)+~P1(f317(f317(f225(x84841),x84843),f2(x84841)))+~P1(f317(f317(f224(x84841),f317(f317(f75(x84841),x84844),x84843)),x84842))+P1(f317(f317(f224(x84841),f317(f317(f281(x84841),x84842),x84843)),x84844))
% 92.29/92.11 [8485]~P64(x84851)+~P1(f317(f317(f225(x84851),x84853),f2(x84851)))+~P1(f317(f317(f225(x84851),f317(f317(f281(x84851),x84854),x84853)),x84852))+P1(f317(f317(f225(x84851),f317(f317(f75(x84851),x84852),x84853)),x84854))
% 92.29/92.11 [8486]~P64(x84861)+~P1(f317(f317(f225(x84861),x84863),f2(x84861)))+~P1(f317(f317(f225(x84861),f317(f317(f75(x84861),x84864),x84863)),x84862))+P1(f317(f317(f225(x84861),f317(f317(f281(x84861),x84862),x84863)),x84864))
% 92.29/92.11 [8498]~P1(f317(x84981,x84984))+~P1(f317(f317(f225(a897),x84982),f317(f317(f75(a897),x84983),f317(a102,x84984))))+P1(f317(x84981,f317(f317(f31(a897),x84982),x84983)))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x84983),x84984)),x84982))
% 92.29/92.11 [8707]~P107(x87071)+~P1(f317(f29(x87071),x87074))+~P1(f317(f317(f319(x87071),x87072),x87074))+P1(f317(f317(f224(x87071),f317(f317(f223(x87071),x87072),x87073)),f317(f317(f59(x87071,x87071,f223(x87071)),x87073),x87074)))
% 92.29/92.11 [8708]~P98(x87081)+~P1(f317(f29(x87081),x87084))+~P1(f317(f317(f319(x87081),x87082),x87084))+P1(f317(f317(f224(x87081),f317(f317(f91(x87081),x87082),x87083)),f317(f317(f59(x87081,x87081,f91(x87081)),x87083),x87084)))
% 92.29/92.11 [8861]~P1(f317(f29(x88611),x88612))+E(f317(f30(x88611),f317(f317(f23(f904(x88611,a893)),x88612),f317(f317(f299(x88611),x88613),x88614))),f317(f317(f23(a897),f317(f30(x88611),f317(f317(f23(f904(x88611,a893)),x88612),x88614))),f72(a897)))+P1(f317(f317(f319(x88611),x88613),x88614))+~P1(f317(f317(f319(x88611),x88613),x88612))
% 92.29/92.11 [8938]E(f317(f317(f74(a1),f398(x89381,x89382,x89383,x89384)),f399(x89381,x89382,x89383,x89384)),x89384)+~P1(f317(f317(f225(a1),f2(a1)),x89383))+~P1(f317(f317(f224(a1),x89384),x89381))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x89384),x89383)),x89381))
% 92.29/92.11 [8939]E(f317(f317(f74(a1),f412(x89391,x89392,x89393,x89394)),f413(x89391,x89392,x89393,x89394)),x89394)+~P1(f317(f317(f225(a1),f2(a1)),x89393))+~P1(f317(f317(f225(a1),x89394),x89391))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x89394),x89393)),x89391))
% 92.29/92.11 [9144]~P1(f317(f317(f225(a1),f2(a1)),x91443))+~P1(f317(f317(f224(a1),x91444),x91441))+P1(f317(f317(f319(a1),f398(x91441,x91442,x91443,x91444)),x91442))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x91444),x91443)),x91441))
% 92.29/92.11 [9145]~P1(f317(f317(f225(a1),f2(a1)),x91453))+~P1(f317(f317(f225(a1),x91454),x91451))+P1(f317(f317(f319(a1),f412(x91451,x91452,x91453,x91454)),x91452))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x91454),x91453)),x91451))
% 92.29/92.11 [9232]~P1(f317(f317(f225(a1),f2(a1)),x92322))+~P1(f317(f317(f224(a1),x92321),x92323))+P1(f317(f317(f319(a1),f399(x92323,x92324,x92322,x92321)),f293(a1,f72(a1),x92322)))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x92321),x92322)),x92323))
% 92.29/92.11 [9233]~P1(f317(f317(f225(a1),f2(a1)),x92332))+~P1(f317(f317(f225(a1),x92331),x92333))+P1(f317(f317(f319(a1),f413(x92333,x92334,x92332,x92331)),f293(a1,f72(a1),x92332)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x92331),x92332)),x92333))
% 92.29/92.11 [9251]~P1(f317(f317(f224(a1),f2(a1)),x92514))+~P1(f317(f317(f225(a1),f2(a1)),x92513))+~P1(f317(f317(f225(a1),x92514),x92511))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92511),f41(a1,x92512,x92513))),x92514)))
% 92.29/92.11 [9279]E(x92791,x92792)+~P38(x92793,x92794)+~P1(f317(f317(f319(f903(x92793,x92793)),f317(f317(f242(x92793,x92793),x92792),x92791)),x92794))+~P1(f317(f317(f319(f903(x92793,x92793)),f317(f317(f242(x92793,x92793),x92791),x92792)),x92794))
% 92.29/92.11 [9280]E(x92801,x92802)+~P38(x92803,x92804)+~P1(f317(f317(f319(f903(x92803,x92803)),f317(f317(f242(x92803,x92803),x92802),x92801)),x92804))+~P1(f317(f317(f319(f903(x92803,x92803)),f317(f317(f242(x92803,x92803),x92801),x92802)),x92804))
% 92.29/92.11 [9313]~P107(x93131)+~P1(f317(f29(x93131),x93134))+~P1(f317(f317(f224(x93131),x93132),f571(x93133,x93132,x93134,x93131)))+P1(f317(f317(f224(x93131),f317(f317(f228(x93131),x93132),x93133)),f317(f317(f59(x93131,x93131,f228(x93131)),x93133),x93134)))
% 92.29/92.11 [9314]~P104(x93141)+~P1(f317(f29(x93141),x93144))+~P1(f317(f317(f224(x93141),x93142),f578(x93143,x93142,x93144,x93141)))+P1(f317(f317(f224(x93141),f317(f317(f92(x93141),x93142),x93143)),f317(f317(f59(x93141,x93141,f92(x93141)),x93143),x93144)))
% 92.29/92.11 [9331]~P1(f317(f317(f224(a1),x93314),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x93312))+~P1(f317(f317(f225(a1),x93311),x93314))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x93311),x93312)),f317(f317(f74(a1),f317(f317(f75(a1),x93311),f41(a1,x93313,x93312))),x93314)))
% 92.29/92.11 [9357]P1(f317(f29(x93571),x93572))+~P1(f317(f29(x93571),x93573))+~P1(f317(f317(f319(f904(x93571,a893)),x93572),f317(f317(f56(x93571),x93573),x93574)))+~P1(f317(f317(f224(f904(f903(x93571,x93571),a893)),x93574),f317(f317(f244(x93571,x93571),x93573),f317(f16(f904(x93571,a893),x93571),x93573))))
% 92.29/92.11 [9382]~P107(x93821)+~P1(f317(f29(x93821),x93824))+P1(f317(f317(f319(x93821),f571(x93822,x93823,x93824,x93821)),x93824))+P1(f317(f317(f224(x93821),f317(f317(f228(x93821),x93823),x93822)),f317(f317(f59(x93821,x93821,f228(x93821)),x93822),x93824)))
% 92.29/92.11 [9383]~P104(x93831)+~P1(f317(f29(x93831),x93834))+P1(f317(f317(f319(x93831),f578(x93832,x93833,x93834,x93831)),x93834))+P1(f317(f317(f224(x93831),f317(f317(f92(x93831),x93833),x93832)),f317(f317(f59(x93831,x93831,f92(x93831)),x93832),x93834)))
% 92.29/92.11 [9796]~P1(f317(f29(x97962),x97964))+~P1(f317(f29(x97961),x97963))+~P1(f317(f317(f224(a897),f317(f30(x97962),x97964)),f317(f30(x97961),x97963)))+P1(f317(f317(f224(f904(x97961,a893)),f317(f300(x97962,x97961,f531(x97963,x97961,x97964,x97962)),x97964)),x97963))
% 92.29/92.11 [9433]~P1(f317(f317(f319(x94331),x94332),x94334))+P1(f317(f317(f319(x94331),x94332),x94333))+~P1(f317(f317(f225(f904(x94331,a893)),x94334),f317(f317(f299(x94331),x94332),x94333)))+P1(f317(f317(f225(f904(x94331,a893)),f317(f317(f23(f904(x94331,a893)),x94334),f317(f317(f299(x94331),x94332),f178(f904(x94331,a893))))),x94333))
% 92.29/92.11 [9610]~P1(f317(f317(f319(x96101),x96102),x96104))+P1(f317(f317(f319(x96101),x96102),x96103))+P1(f317(f317(f225(f904(x96101,a893)),x96104),f317(f317(f299(x96101),x96102),x96103)))+~P1(f317(f317(f225(f904(x96101,a893)),f317(f317(f23(f904(x96101,a893)),x96104),f317(f317(f299(x96101),x96102),f178(f904(x96101,a893))))),x96103))
% 92.29/92.11 [9635]P1(f317(f317(f319(x96351),x96352),x96353))+~P1(f317(f317(f224(f904(x96351,a893)),x96354),x96353))+P1(f317(f317(f225(f904(x96351,a893)),x96354),f317(f317(f299(x96351),x96352),x96353)))+~P1(f317(f317(f225(f904(x96351,a893)),f317(f317(f23(f904(x96351,a893)),x96354),f317(f317(f299(x96351),x96352),f178(f904(x96351,a893))))),x96353))
% 92.29/92.11 [9640]~P1(f317(f317(f319(x96401),x96403),x96402))+~P1(f317(f317(f225(f904(x96401,a893)),x96402),x96404))+P1(f317(f317(f225(f904(x96401,a893)),x96402),f317(f317(f299(x96401),x96403),x96404)))+~P1(f317(f317(f225(f904(x96401,a893)),f317(f317(f23(f904(x96401,a893)),x96402),f317(f317(f299(x96401),x96403),f178(f904(x96401,a893))))),x96404))
% 92.29/92.11 [9656]~P1(f317(f317(f224(f904(x96561,a893)),x96562),x96564))+~P1(f317(f317(f225(f904(x96561,a893)),x96562),x96564))+P1(f317(f317(f225(f904(x96561,a893)),x96562),f317(f317(f299(x96561),x96563),x96564)))+~P1(f317(f317(f225(f904(x96561,a893)),f317(f317(f23(f904(x96561,a893)),x96562),f317(f317(f299(x96561),x96563),f178(f904(x96561,a893))))),x96564))
% 92.29/92.11 [9701]~P108(x97012)+~P60(x97011)+~P1(f317(f317(f224(f904(x97011,x97012)),x97013),x97014))+P1(f317(f53(x97011),f317(f317(f18(x97011,x97012,a893),f317(f317(f8(x97012,f904(x97012,a893),x97011),f224(x97012)),x97013)),x97014)))
% 92.29/92.11 [9844]~P108(x98442)+~P60(x98441)+P1(f317(f317(f224(f904(x98441,x98442)),x98443),x98444))+~P1(f317(f53(x98441),f317(f317(f18(x98441,x98442,a893),f317(f317(f8(x98442,f904(x98442,a893),x98441),f224(x98442)),x98443)),x98444)))
% 92.29/92.11 [10009]E(f317(f317(f154(x100091),f317(f317(f154(f898(x100091)),f169(x100091,x100092)),x100093)),x100094),f317(f317(f154(x100091),f317(f317(f154(f898(x100091)),x100092),x100094)),x100093))+~P1(f317(f317(f225(a897),x100093),f317(f179(f898(f898(x100091))),f169(x100091,x100092))))+~P13(a897,f317(f158(a897),f317(f317(f144(f898(x100091),a897),f179(f898(x100091))),x100092)))+~P1(f317(f317(f225(a897),x100094),f317(f179(f898(f898(x100091))),f317(f126(f898(x100091),f317(f317(f8(a897,a893,f898(x100091)),f317(f225(a897),x100093)),f179(f898(x100091)))),x100092))))
% 92.29/92.11 [10030]~P1(f317(f317(f319(f903(a897,a897)),x100304),x100301))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x100304),x100302)),a26))+~P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100301),x100303)),a27))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100301),f317(f317(f299(f903(a897,a897)),x100302),x100303))),a27))
% 92.29/92.11 [10031]~P1(f317(f317(f319(f903(a897,a897)),x100314),x100311))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x100314),x100312)),a65))+~P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100311),x100313)),a66))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100311),f317(f317(f299(f903(a897,a897)),x100312),x100313))),a66))
% 92.29/92.11 [9921]~P108(x99212)+~P60(x99211)+~P1(f317(f317(f225(f904(x99211,x99212)),x99213),x99214))+P1(f317(f52(x99211),f317(f317(f8(a893,a893,x99211),a312),f317(f317(f18(x99211,x99212,a893),f317(f317(f8(x99212,f904(x99212,a893),x99211),a314),x99213)),x99214))))
% 92.29/92.11 [10042]~P1(f317(f317(f319(f903(a897,a897)),x100424),x100423))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x100421),x100424)),a26))+~P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100422),x100423)),a28))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f317(f317(f299(f903(a897,a897)),x100421),x100422)),x100423)),a28))
% 92.29/92.11 [10043]~P1(f317(f317(f319(f903(a897,a897)),x100434),x100433))+~P1(f317(f317(f319(f903(f903(a897,a897),f903(a897,a897))),f317(f317(f242(f903(a897,a897),f903(a897,a897)),x100431),x100434)),a65))+~P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),x100432),x100433)),a64))+P1(f317(f317(f319(f903(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893))),f317(f317(f242(f904(f903(a897,a897),a893),f904(f903(a897,a897),a893)),f317(f317(f299(f903(a897,a897)),x100431),x100432)),x100433)),a64))
% 92.29/92.11 [6123]~P7(x61234,x61231)+~P1(f317(f317(x61231,x61232),x61235))+P1(f317(f317(x61231,x61232),x61233))+~P1(f317(f317(x61231,x61235),x61233))
% 92.29/92.11 [6124]~P49(x61244,x61241)+~P1(f317(f317(x61241,x61242),x61245))+P1(f317(f317(x61241,x61242),x61243))+~P1(f317(f317(x61241,x61245),x61243))
% 92.29/92.11 [6125]~P15(x61254,x61251)+~P1(f317(f317(x61251,x61252),x61255))+P1(f317(f317(x61251,x61252),x61253))+~P1(f317(f317(x61251,x61255),x61253))
% 92.29/92.11 [8825]~P25(x88251,x88253,x88255,x88252,x88254)+E(f317(f30(x88251),x88252),f317(f30(x88253),x88254))+~P1(f317(f29(x88253),x88254))+~P1(f317(f29(x88251),x88252))
% 92.29/92.11 [8846]~P7(x88464,x88463)+~P1(f317(x88461,x88465))+P1(f317(x88462,f810(x88462,x88461,x88463,x88464)))+P1(f317(x88461,f809(x88462,x88461,x88463,x88464)))
% 92.29/92.11 [9080]~P7(x90804,x90803)+~P1(f317(x90802,x90805))+~P1(f317(x90801,f809(x90801,x90802,x90803,x90804)))+P1(f317(x90801,f810(x90801,x90802,x90803,x90804)))
% 92.29/92.11 [9264]~P7(x92644,x92643)+~P1(f317(x92641,x92645))+P1(f317(f317(f319(x92644),f810(x92642,x92641,x92643,x92644)),f260(x92644,x92643)))+P1(f317(x92641,f809(x92642,x92641,x92643,x92644)))
% 92.29/92.11 [9391]~P7(x93911,x93914)+~P1(f317(x93913,x93915))+~P1(f317(x93912,f809(x93912,x93913,x93914,x93911)))+P1(f317(f317(f319(x93911),f810(x93912,x93913,x93914,x93911)),f260(x93911,x93914)))
% 92.29/92.11 [9690]~P37(x96901,x96904)+P1(f317(f317(f319(f903(f898(x96901),f898(x96901))),f317(f317(f242(f898(x96901),f898(x96901)),x96902),x96903)),f137(x96901,x96904)))+~P1(f317(f317(f319(f903(f898(x96901),f898(x96901))),f317(f317(f242(f898(x96901),f898(x96901)),x96902),x96905)),f137(x96901,x96904)))+~P1(f317(f317(f319(f903(f898(x96901),f898(x96901))),f317(f317(f242(f898(x96901),f898(x96901)),x96905),x96903)),f137(x96901,x96904)))
% 92.29/92.11 [5347]~P68(x53475)+E(x53471,x53472)+~E(x53473,x53474)+~E(f317(f317(f23(x53475),x53473),x53474),f317(f317(f23(x53475),x53471),x53472))
% 92.29/92.11 [5348]~P68(x53485)+E(x53481,x53482)+~E(x53483,x53484)+~E(f317(f317(f23(x53485),x53483),x53484),f317(f317(f23(x53485),x53481),x53482))
% 92.29/92.11 [6239]~P17(x62395,x62391,x62393)+E(f317(f317(x62391,x62392),f317(x62393,x62394)),f317(x62393,x62394))+~P1(f317(f29(x62395),x62394))+~P1(f317(f317(f319(x62395),x62392),x62394))
% 92.29/92.11 [6435]~P67(x64351)+~E(f317(f317(f23(x64351),x64354),x64355),f317(f317(f23(x64351),x64352),x64353))+~P1(f317(f317(f224(x64351),x64354),x64355))+P1(f317(f317(f224(x64351),x64352),x64353))
% 92.29/92.11 [6436]~P67(x64361)+~E(f317(f317(f23(x64361),x64364),x64365),f317(f317(f23(x64361),x64362),x64363))+~P1(f317(f317(f224(x64361),x64364),x64365))+P1(f317(f317(f224(x64361),x64362),x64363))
% 92.29/92.11 [6437]~P67(x64371)+~E(f317(f317(f23(x64371),x64374),x64375),f317(f317(f23(x64371),x64372),x64373))+~P1(f317(f317(f225(x64371),x64374),x64375))+P1(f317(f317(f225(x64371),x64372),x64373))
% 92.29/92.11 [6438]~P67(x64381)+~E(f317(f317(f23(x64381),x64384),x64385),f317(f317(f23(x64381),x64382),x64383))+~P1(f317(f317(f225(x64381),x64384),x64385))+P1(f317(f317(f225(x64381),x64382),x64383))
% 92.29/92.11 [7431]~E(x74312,f317(f317(f141(x74311),x74314),x74315))+P1(f317(f317(f319(f898(x74311)),x74312),f151(x74311,x74313)))+~P1(f317(f317(f319(f898(x74311)),x74315),f151(x74311,x74313)))+~P1(f317(f317(f319(x74311),x74314),x74313))
% 92.29/92.11 [7838]~E(f317(f179(f898(x78381)),x78383),f317(f179(f898(x78382)),x78384))+~E(f317(f317(f144(f903(x78381,x78382),x78382),f246(x78381,x78382)),x78385),x78384)+~E(f317(f317(f144(f903(x78381,x78382),x78381),f241(x78381,x78382)),x78385),x78383)+E(f317(f317(f171(x78381,x78382),x78383),x78384),x78385)
% 92.29/92.11 [8171]~P108(x81711)+P1(f317(f317(f225(f904(x81711,a893)),f293(x81711,x81712,x81713)),f293(x81711,x81714,x81715)))+~P1(f317(f317(f224(x81711),x81714),x81715))+P1(f317(f317(f224(x81711),x81712),x81713))
% 92.29/92.11 [8271]~P108(x82711)+P1(f317(f317(f224(f904(x82711,a893)),f293(x82711,x82712,x82713)),f293(x82711,x82714,x82715)))+~P1(f317(f317(f224(x82711),x82713),x82715))+~P1(f317(f317(f224(x82711),x82714),x82712))
% 92.29/92.11 [8390]~P107(x83901)+P1(f317(f317(f224(x83901),x83902),x83903))+P1(f317(f317(f224(x83901),x83904),x83903))+~P1(f317(f317(f224(f904(x83901,a893)),f317(f292(x83901,x83903),x83902)),f317(f292(x83901,x83904),x83905)))
% 92.29/92.11 [8391]~P107(x83911)+P1(f317(f317(f224(x83911),x83912),x83913))+P1(f317(f317(f224(x83911),x83912),x83914))+~P1(f317(f317(f224(f904(x83911,a893)),f317(f292(x83911,x83913),x83912)),f317(f292(x83911,x83915),x83914)))
% 92.29/92.11 [8624]~P108(x86241)+~P1(f317(f317(f224(f904(x86241,a893)),f293(x86241,x86244,x86242)),f293(x86241,x86245,x86243)))+P1(f317(f317(f224(x86241),x86242),x86243))+~P1(f317(f317(f224(x86241),x86244),x86242))
% 92.29/92.11 [8625]~P108(x86251)+~P1(f317(f317(f225(f904(x86251,a893)),f293(x86251,x86254,x86252)),f293(x86251,x86255,x86253)))+P1(f317(f317(f224(x86251),x86252),x86253))+~P1(f317(f317(f224(x86251),x86254),x86252))
% 92.29/92.11 [8626]~P108(x86261)+~P1(f317(f317(f224(f904(x86261,a893)),f293(x86261,x86263,x86264)),f293(x86261,x86262,x86265)))+P1(f317(f317(f224(x86261),x86262),x86263))+~P1(f317(f317(f224(x86261),x86263),x86264))
% 92.29/92.11 [8627]~P108(x86271)+~P1(f317(f317(f225(f904(x86271,a893)),f293(x86271,x86273,x86274)),f293(x86271,x86272,x86275)))+P1(f317(f317(f224(x86271),x86272),x86273))+~P1(f317(f317(f224(x86271),x86273),x86274))
% 92.29/92.11 [6122]~P17(x61222,x61225,x61223)+E(x61221,f178(f904(x61222,a893)))+~P1(f317(f29(x61222),x61221))+E(f317(x61223,f317(f317(f299(x61222),x61224),x61221)),f317(f317(x61225,x61224),f317(x61223,x61221)))
% 92.29/92.11 [6919]~E(x69191,x69192)+~E(f317(f317(f92(f904(x69193,a893)),x69194),x69195),f178(f904(x69193,a893)))+~P1(f317(f317(f319(x69193),x69192),x69195))+~P1(f317(f317(f319(x69193),x69191),x69194))
% 92.29/92.11 [7002]~P18(x70022,x70025,x70021)+~P1(f317(f29(x70022),x70024))+E(f317(x70021,f317(f317(f299(x70022),x70023),x70024)),f317(f317(f59(x70022,x70022,x70025),x70023),x70024))+P1(f317(f317(f319(x70022),x70023),x70024))
% 92.29/92.11 [7071]~P76(x70712)+~P1(f317(f29(x70711),x70715))+E(f317(f317(f9(x70711,x70712),x70713),f317(f317(f299(x70711),x70714),x70715)),f317(f317(f75(x70712),f317(x70713,x70714)),f317(f317(f9(x70711,x70712),x70713),x70715)))+P1(f317(f317(f319(x70711),x70714),x70715))
% 92.29/92.11 [7072]~P76(x70722)+~P1(f317(f29(x70721),x70725))+E(f317(f317(f9(x70721,x70722),x70723),f317(f317(f299(x70721),x70724),x70725)),f317(f317(f75(x70722),f317(x70723,x70724)),f317(f317(f9(x70721,x70722),x70723),x70725)))+P1(f317(f317(f319(x70721),x70724),x70725))
% 92.29/92.11 [7073]~P77(x70732)+~P1(f317(f29(x70731),x70735))+E(f317(f317(f6(x70731,x70732),x70733),f317(f317(f299(x70731),x70734),x70735)),f317(f317(f74(x70732),f317(x70733,x70734)),f317(f317(f6(x70731,x70732),x70733),x70735)))+P1(f317(f317(f319(x70731),x70734),x70735))
% 92.29/92.11 [7074]~P77(x70742)+~P1(f317(f29(x70741),x70745))+E(f317(f317(f6(x70741,x70742),x70743),f317(f317(f299(x70741),x70744),x70745)),f317(f317(f74(x70742),f317(x70743,x70744)),f317(f317(f6(x70741,x70742),x70743),x70745)))+P1(f317(f317(f319(x70741),x70744),x70745))
% 92.29/92.11 [7478]~P119(x74781)+~P1(f317(f29(x74784),x74785))+~P1(f317(f317(f319(x74784),x74783),x74785))+P1(f317(f317(f277(x74781),f317(x74782,x74783)),f317(f317(f9(x74784,x74781),x74782),x74785)))
% 92.29/92.11 [7577]~P18(x75772,x75775,x75771)+~P1(f317(f29(x75772),x75774))+E(f317(x75771,f317(f317(f299(x75772),x75773),x75774)),x75773)+~E(f317(f317(f23(f904(x75772,a893)),x75774),f317(f317(f299(x75772),x75773),f178(f904(x75772,a893)))),f178(f904(x75772,a893)))
% 92.29/92.11 [7911]~P119(x79111)+~P1(f317(f317(f277(x79111),x79112),x79114))+~P1(f317(f317(f224(a897),x79113),x79115))+P1(f317(f317(f277(x79111),f317(f317(f234(x79111),x79112),x79113)),f317(f317(f234(x79111),x79114),x79115)))
% 92.29/92.11 [7939]~P3(x79391)+E(f317(f317(f31(x79391),f317(f317(f75(x79391),x79392),x79393)),f317(f317(f75(x79391),x79394),x79395)),f317(f317(f75(x79391),f317(f317(f31(x79391),x79392),x79394)),f317(f317(f31(x79391),x79393),x79395)))+~P1(f317(f317(f277(x79391),x79395),x79393))+~P1(f317(f317(f277(x79391),x79394),x79392))
% 92.29/92.11 [7943]~P84(x79431)+~P1(f317(f317(f224(x79431),x79433),x79435))+~P1(f317(f317(f224(x79431),x79432),x79434))+P1(f317(f317(f224(x79431),f317(f317(f74(x79431),x79432),x79433)),f317(f317(f74(x79431),x79434),x79435)))
% 92.29/92.11 [7944]~P107(x79441)+~P1(f317(f317(f224(x79441),x79443),x79445))+~P1(f317(f317(f224(x79441),x79442),x79444))+P1(f317(f317(f224(x79441),f317(f317(f228(x79441),x79442),x79443)),f317(f317(f228(x79441),x79444),x79445)))
% 92.29/92.11 [7945]~P107(x79451)+~P1(f317(f317(f224(x79451),x79453),x79455))+~P1(f317(f317(f224(x79451),x79452),x79454))+P1(f317(f317(f224(x79451),f317(f317(f223(x79451),x79452),x79453)),f317(f317(f223(x79451),x79454),x79455)))
% 92.29/92.11 [7946]~P98(x79461)+~P1(f317(f317(f224(x79461),x79463),x79465))+~P1(f317(f317(f224(x79461),x79462),x79464))+P1(f317(f317(f224(x79461),f317(f317(f91(x79461),x79462),x79463)),f317(f317(f91(x79461),x79464),x79465)))
% 92.29/92.11 [7947]~P104(x79471)+~P1(f317(f317(f224(x79471),x79473),x79475))+~P1(f317(f317(f224(x79471),x79472),x79474))+P1(f317(f317(f224(x79471),f317(f317(f92(x79471),x79472),x79473)),f317(f317(f92(x79471),x79474),x79475)))
% 92.29/92.11 [7948]~P86(x79481)+~P1(f317(f317(f224(x79481),x79483),x79485))+~P1(f317(f317(f225(x79481),x79482),x79484))+P1(f317(f317(f225(x79481),f317(f317(f74(x79481),x79482),x79483)),f317(f317(f74(x79481),x79484),x79485)))
% 92.29/92.11 [7949]~P86(x79491)+~P1(f317(f317(f224(x79491),x79492),x79494))+~P1(f317(f317(f225(x79491),x79493),x79495))+P1(f317(f317(f225(x79491),f317(f317(f74(x79491),x79492),x79493)),f317(f317(f74(x79491),x79494),x79495)))
% 92.29/92.11 [7950]~P86(x79501)+~P1(f317(f317(f225(x79501),x79503),x79505))+~P1(f317(f317(f225(x79501),x79502),x79504))+P1(f317(f317(f225(x79501),f317(f317(f74(x79501),x79502),x79503)),f317(f317(f74(x79501),x79504),x79505)))
% 92.29/92.11 [7951]~P119(x79511)+~P1(f317(f317(f277(x79511),x79513),x79515))+~P1(f317(f317(f277(x79511),x79512),x79514))+P1(f317(f317(f277(x79511),f317(f317(f75(x79511),x79512),x79513)),f317(f317(f75(x79511),x79514),x79515)))
% 92.29/92.11 [8086]~P146(x80865)+E(x80861,x80862)+E(x80863,x80864)+~E(f317(f317(f74(x80865),f317(f317(f75(x80865),x80863),x80861)),f317(f317(f75(x80865),x80864),x80862)),f317(f317(f74(x80865),f317(f317(f75(x80865),x80863),x80862)),f317(f317(f75(x80865),x80864),x80861)))
% 92.29/92.11 [8087]~P146(x80875)+E(x80871,x80872)+E(x80873,x80874)+~E(f317(f317(f74(x80875),f317(f317(f75(x80875),x80873),x80871)),f317(f317(f75(x80875),x80874),x80872)),f317(f317(f74(x80875),f317(f317(f75(x80875),x80873),x80872)),f317(f317(f75(x80875),x80874),x80871)))
% 92.29/92.11 [8291]~P107(x82914)+~P1(f317(f127(x82911),x82913))+P1(f317(f317(f319(x82911),x82912),f317(f162(x82911),x82913)))+P1(f317(f127(x82911),f317(f317(f138(x82911,x82914,x82915),x82912),x82913)))
% 92.29/92.11 [8437]~P68(x84371)+E(f317(f317(f23(x84371),f317(f317(f6(a897,x84371),x84372),f317(f292(a897,x84373),x84374))),f317(f317(f6(a897,x84371),x84372),f317(f292(a897,x84373),x84375))),f317(f317(f6(a897,x84371),x84372),f317(f292(a897,x84375),x84374)))+~P1(f317(f317(f224(a897),x84375),x84374))+~P1(f317(f317(f224(a897),x84373),x84375))
% 92.29/92.11 [8438]~P77(x84381)+E(f317(f317(f74(x84381),f317(f317(f6(a897,x84381),x84382),f317(f292(a897,x84383),x84384))),f317(f317(f6(a897,x84381),x84382),f317(f292(a897,x84384),x84385))),f317(f317(f6(a897,x84381),x84382),f317(f292(a897,x84383),x84385)))+~P1(f317(f317(f224(a897),x84384),x84385))+~P1(f317(f317(f224(a897),x84383),x84384))
% 92.29/92.11 [8767]~P62(x87672)+E(x87671,f2(x87672))+E(x87673,f2(x87672))+E(f317(f317(f281(x87672),f317(f317(f23(x87672),f317(f317(f75(x87672),x87674),x87671)),f317(f317(f75(x87672),x87675),x87673))),f317(f317(f75(x87672),x87673),x87671)),f317(f317(f23(x87672),f317(f317(f281(x87672),x87674),x87673)),f317(f317(f281(x87672),x87675),x87671)))
% 92.29/92.11 [8768]~P62(x87682)+E(x87681,f2(x87682))+E(x87683,f2(x87682))+E(f317(f317(f281(x87682),f317(f317(f74(x87682),f317(f317(f75(x87682),x87684),x87681)),f317(f317(f75(x87682),x87685),x87683))),f317(f317(f75(x87682),x87683),x87681)),f317(f317(f74(x87682),f317(f317(f281(x87682),x87684),x87683)),f317(f317(f281(x87682),x87685),x87681)))
% 92.29/92.11 [8777]~E(x87772,f317(x87773,x87771))+E(x87771,f462(x87772,x87773,x87774,x87775))+~P24(x87775,x87774,x87773,f232(f904(x87775,a893)))+~P1(f317(f317(f319(x87774),x87772),f317(f300(x87775,x87774,x87773),f232(f904(x87775,a893)))))
% 92.29/92.11 [8994]~P126(x89941)+~P1(f317(f317(f225(x89941),f317(f70(x89941),x89942)),x89944))+P1(f317(f317(f225(x89941),f317(f317(f75(x89941),f317(f70(x89941),x89942)),f317(f70(x89941),x89943))),f317(f317(f75(x89941),x89944),x89945)))+~P1(f317(f317(f225(x89941),f317(f70(x89941),x89943)),x89945))
% 92.29/92.11 [9105]~P24(x91051,x91053,x91055,x91052)+~P1(f317(f29(x91053),x91054))+P1(f317(f317(f224(a897),f317(f30(x91051),x91052)),f317(f30(x91053),x91054)))+~P1(f317(f317(f224(f904(x91053,a893)),f317(f300(x91051,x91053,x91055),x91052)),x91054))
% 92.29/92.11 [9174]~P76(x91742)+~P24(x91741,x91741,x91744,x91745)+~P1(f317(f29(x91741),x91745))+E(f317(f317(f9(x91741,x91742),f317(f67(x91741,x91742,x91741,x91743),x91744)),x91745),f317(f317(f9(x91741,x91742),x91743),f317(f300(x91741,x91741,x91744),x91745)))
% 92.29/92.11 [9175]~P77(x91752)+~P24(x91751,x91751,x91754,x91755)+~P1(f317(f29(x91751),x91755))+E(f317(f317(f6(x91751,x91752),f317(f67(x91751,x91752,x91751,x91753),x91754)),x91755),f317(f317(f6(x91751,x91752),x91753),f317(f300(x91751,x91751,x91754),x91755)))
% 92.29/92.11 [9255]~E(f464(x92552,x92554,x92551,x92553,x92555),x92555)+~E(x92552,f317(x92554,x92555))+~P24(x92553,x92551,x92554,f232(f904(x92553,a893)))+P1(f317(f317(f319(x92551),x92552),f317(f300(x92553,x92551,x92554),f232(f904(x92553,a893)))))
% 92.29/92.11 [9293]~P36(x92931,x92932)+~P1(f317(f317(f319(x92931),x92933),x92934))+~P1(f317(f317(f319(x92931),x92935),x92934))+~P1(f317(f317(f319(f903(x92931,x92931)),f317(f317(f242(x92931,x92931),x92935),f603(x92932,x92931,x92934))),x92932))
% 92.29/92.11 [9330]~P24(x93302,x93303,x93305,x93301)+E(x93301,f178(f904(x93302,a893)))+E(f317(f300(x93303,x93302,f543(x93304,x93303,x93302,x93301)),x93304),x93301)+~P1(f317(f317(f224(f904(x93303,a893)),f317(f300(x93302,x93303,x93305),x93301)),x93304))
% 92.29/92.11 [9372]~E(x93722,f317(x93721,x93725))+~P24(x93724,x93723,x93721,f232(f904(x93724,a893)))+E(f317(x93721,f464(x93722,x93721,x93723,x93724,x93725)),x93722)+P1(f317(f317(f319(x93723),x93722),f317(f300(x93724,x93723,x93721),f232(f904(x93724,a893)))))
% 92.29/92.11 [9825]~P107(x98255)+~P5(x98255)+P1(f317(f317(f319(x98251),f365(x98252,x98253,x98251,x98254,x98255)),x98253))+~P1(f317(f317(f225(x98255),x98254),f317(f317(f35(x98251,x98255),x98253),x98252)))
% 92.29/92.11 [9830]~P107(x98301)+~P5(x98301)+P1(f317(f317(f225(x98301),x98302),f317(x98303,f365(x98303,x98304,x98305,x98302,x98301))))+~P1(f317(f317(f225(x98301),x98302),f317(f317(f35(x98305,x98301),x98304),x98303)))
% 92.29/92.11 [9908]~P73(x99081)+~P1(f317(f61(x99081,x99081,f75(x99081),x99082,x99083),x99085))+P1(f317(f317(f319(x99081),x99082),x99083))+P1(f317(f61(x99081,x99081,f75(x99081),x99084,f317(f317(f299(x99081),x99082),x99083)),f317(f317(f75(x99081),x99084),x99085)))
% 92.29/92.11 [10120]~P76(x101202)+~P1(f317(f29(x101201),x101205))+E(f317(f317(f9(x101201,x101202),f317(f317(f7(x101201,x101202,x101202),f317(f317(f18(x101201,x101202,f904(x101202,x101202)),f317(f317(f8(a893,f904(x101202,f904(x101202,x101202)),x101201),f86(x101202)),f317(a314,x101203))),x101204)),f72(x101202))),x101205),f72(x101202))+P1(f317(f317(f319(x101201),x101203),x101205))
% 92.29/92.11 [10121]~P77(x101212)+~P1(f317(f29(x101211),x101215))+E(f317(f317(f6(x101211,x101212),f317(f317(f7(x101211,x101212,x101212),f317(f317(f18(x101211,x101212,f904(x101212,x101212)),f317(f317(f8(a893,f904(x101212,f904(x101212,x101212)),x101211),f86(x101212)),f317(a314,x101213))),x101214)),f2(x101212))),x101215),f2(x101212))+P1(f317(f317(f319(x101211),x101213),x101215))
% 92.29/92.11 [10122]~P76(x101222)+~P1(f317(f29(x101221),x101225))+E(f317(f317(f9(x101221,x101222),f317(f317(f7(x101221,x101222,x101222),f317(f317(f18(x101221,x101222,f904(x101222,x101222)),f317(f317(f8(a893,f904(x101222,f904(x101222,x101222)),x101221),f86(x101222)),f317(a314,x101223))),x101224)),f72(x101222))),x101225),f317(x101224,x101223))+~P1(f317(f317(f319(x101221),x101223),x101225))
% 92.29/92.11 [10123]~P77(x101232)+~P1(f317(f29(x101231),x101235))+E(f317(f317(f6(x101231,x101232),f317(f317(f7(x101231,x101232,x101232),f317(f317(f18(x101231,x101232,f904(x101232,x101232)),f317(f317(f8(a893,f904(x101232,f904(x101232,x101232)),x101231),f86(x101232)),f317(a314,x101233))),x101234)),f2(x101232))),x101235),f317(x101234,x101233))+~P1(f317(f317(f319(x101231),x101233),x101235))
% 92.29/92.11 [10181]~P76(x101812)+~P1(f317(f29(x101811),x101815))+E(f317(f317(f9(x101811,x101812),f317(f317(f7(x101811,x101812,x101812),f317(f317(f18(x101811,x101812,f904(x101812,x101812)),f317(f317(f8(a893,f904(x101812,f904(x101812,x101812)),x101811),f86(x101812)),f317(f317(f7(x101811,x101811,a893),a314),x101813))),x101814)),f72(x101812))),x101815),f72(x101812))+P1(f317(f317(f319(x101811),x101813),x101815))
% 92.29/92.11 [10182]~P77(x101822)+~P1(f317(f29(x101821),x101825))+E(f317(f317(f6(x101821,x101822),f317(f317(f7(x101821,x101822,x101822),f317(f317(f18(x101821,x101822,f904(x101822,x101822)),f317(f317(f8(a893,f904(x101822,f904(x101822,x101822)),x101821),f86(x101822)),f317(f317(f7(x101821,x101821,a893),a314),x101823))),x101824)),f2(x101822))),x101825),f2(x101822))+P1(f317(f317(f319(x101821),x101823),x101825))
% 92.29/92.11 [10184]~P76(x101842)+~P1(f317(f29(x101841),x101845))+E(f317(f317(f9(x101841,x101842),f317(f317(f7(x101841,x101842,x101842),f317(f317(f18(x101841,x101842,f904(x101842,x101842)),f317(f317(f8(a893,f904(x101842,f904(x101842,x101842)),x101841),f86(x101842)),f317(f317(f7(x101841,x101841,a893),a314),x101843))),x101844)),f72(x101842))),x101845),f317(x101844,x101843))+~P1(f317(f317(f319(x101841),x101843),x101845))
% 92.29/92.11 [10185]~P77(x101852)+~P1(f317(f29(x101851),x101855))+E(f317(f317(f6(x101851,x101852),f317(f317(f7(x101851,x101852,x101852),f317(f317(f18(x101851,x101852,f904(x101852,x101852)),f317(f317(f8(a893,f904(x101852,f904(x101852,x101852)),x101851),f86(x101852)),f317(f317(f7(x101851,x101851,a893),a314),x101853))),x101854)),f2(x101852))),x101855),f317(x101854,x101853))+~P1(f317(f317(f319(x101851),x101853),x101855))
% 92.29/92.11 [7942]~P68(x79422)+~P1(f317(f29(x79421),x79424))+E(f317(f317(f6(x79421,x79422),x79423),f317(f317(f23(f904(x79421,a893)),x79424),f317(f317(f299(x79421),x79425),f178(f904(x79421,a893))))),f317(f317(f6(x79421,x79422),x79423),x79424))+P1(f317(f317(f319(x79421),x79425),x79424))
% 92.29/92.11 [8445]~P139(x84452)+~P1(f317(f29(x84451),x84454))+E(f317(f317(f6(x84451,x84452),x84453),f317(f317(f23(f904(x84451,a893)),x84454),f317(f317(f299(x84451),x84455),f178(f904(x84451,a893))))),f317(f317(f23(x84452),f317(f317(f6(x84451,x84452),x84453),x84454)),f317(x84453,x84455)))+~P1(f317(f317(f319(x84451),x84455),x84454))
% 92.29/92.11 [8446]~P68(x84462)+~P1(f317(f29(x84461),x84464))+E(f317(f317(f6(x84461,x84462),x84463),f317(f317(f23(f904(x84461,a893)),x84464),f317(f317(f299(x84461),x84465),f178(f904(x84461,a893))))),f317(f317(f23(x84462),f317(f317(f6(x84461,x84462),x84463),x84464)),f317(x84463,x84465)))+~P1(f317(f317(f319(x84461),x84465),x84464))
% 92.29/92.11 [8458]~P119(x84581)+~P1(f317(f317(f224(a897),x84583),x84585))+~P1(f317(f317(f277(x84581),f317(f317(f234(x84581),x84582),x84585)),x84584))+P1(f317(f317(f277(x84581),f317(f317(f234(x84581),x84582),x84583)),x84584))
% 92.29/92.11 [8476]~P68(x84761)+~P1(f317(f29(x84762),x84764))+E(f317(f317(f23(x84761),f317(f317(f6(x84762,x84761),x84763),x84764)),f317(f317(f6(x84762,x84761),x84763),x84765)),f317(f317(f6(x84762,x84761),x84763),f317(f317(f23(f904(x84762,a893)),x84764),x84765)))+~P1(f317(f317(f224(f904(x84762,a893)),x84765),x84764))
% 92.29/92.11 [8495]P1(f317(f29(x84951),f317(x84952,x84953)))+~P1(f317(f29(x84954),x84955))+~P1(f317(f317(f319(x84954),x84953),x84955))+~P1(f317(f29(x84951),f317(f317(f35(x84954,f904(x84951,a893)),x84955),x84952)))
% 92.29/92.11 [8950]~P8(x89501,x89505,x89504)+~E(f317(f275(x89501,x89501,x89504),f317(f317(f299(x89501),x89502),f178(f904(x89501,a893)))),f317(f275(x89501,x89501,x89504),f317(f317(f299(x89501),x89503),f178(f904(x89501,a893)))))+~P1(f317(f317(f319(x89501),x89503),x89505))+P1(f317(f317(f319(f903(x89501,x89501)),f317(f317(f242(x89501,x89501),x89502),x89503)),x89504))
% 92.29/92.11 [9249]~P1(f317(x92491,x92495))+P1(f317(x92491,f339(x92491,x92492,x92493,x92494)))+P1(f317(x92491,f335(x92491,x92492,x92493,x92494)))+~P1(f317(f317(f319(x92494),x92495),f317(f317(f91(f904(x92494,a893)),x92493),x92492)))
% 92.29/92.11 [9438]~P1(f317(x94381,x94385))+P1(f317(x94381,f335(x94381,x94382,x94383,x94384)))+P1(f317(f317(f319(x94384),f339(x94381,x94382,x94383,x94384)),x94382))+~P1(f317(f317(f319(x94384),x94385),f317(f317(f91(f904(x94384,a893)),x94383),x94382)))
% 92.29/92.11 [9439]~P1(f317(x94391,x94395))+P1(f317(x94391,f339(x94391,x94392,x94393,x94394)))+P1(f317(f317(f319(x94394),f335(x94391,x94392,x94393,x94394)),x94393))+~P1(f317(f317(f319(x94394),x94395),f317(f317(f91(f904(x94394,a893)),x94393),x94392)))
% 92.29/92.11 [9443]P1(f317(x94431,x94432))+~P1(f317(x94431,f337(x94431,x94433,x94434,x94435)))+~P1(f317(x94431,f336(x94431,x94433,x94434,x94435)))+~P1(f317(f317(f319(x94435),x94432),f317(f317(f91(f904(x94435,a893)),x94434),x94433)))
% 92.29/92.11 [9447]~P37(x94471,x94474)+~P1(f317(f317(f319(f903(x94471,x94471)),f317(f317(f242(x94471,x94471),x94472),x94475)),x94474))+P1(f317(f317(f319(f903(x94471,x94471)),f317(f317(f242(x94471,x94471),x94472),x94473)),x94474))+~P1(f317(f317(f319(f903(x94471,x94471)),f317(f317(f242(x94471,x94471),x94475),x94473)),x94474))
% 92.29/92.11 [9448]~P37(x94481,x94484)+~P1(f317(f317(f319(f903(x94481,x94481)),f317(f317(f242(x94481,x94481),x94482),x94485)),x94484))+P1(f317(f317(f319(f903(x94481,x94481)),f317(f317(f242(x94481,x94481),x94482),x94483)),x94484))+~P1(f317(f317(f319(f903(x94481,x94481)),f317(f317(f242(x94481,x94481),x94485),x94483)),x94484))
% 92.29/92.11 [9487]E(x94871,x94872)+~P1(f317(f317(f319(f903(x94873,x94873)),f317(f317(f242(x94873,x94873),x94871),x94872)),f297(x94873,x94875)))+P1(f317(f317(f319(x94873),x94871),x94874))+~P1(f317(f317(f224(f904(f903(x94873,x94873),a893)),x94875),f317(f317(f244(x94873,x94873),x94874),f317(f16(f904(x94873,a893),x94873),x94874))))
% 92.29/92.11 [9505]P1(f317(x95051,x95052))+~P1(f317(x95051,f336(x95051,x95054,x95055,x95053)))+P1(f317(f317(f319(x95053),f337(x95051,x95054,x95055,x95053)),x95054))+~P1(f317(f317(f319(x95053),x95052),f317(f317(f91(f904(x95053,a893)),x95055),x95054)))
% 92.29/92.11 [9506]P1(f317(x95061,x95062))+~P1(f317(x95061,f337(x95061,x95064,x95065,x95063)))+P1(f317(f317(f319(x95063),f336(x95061,x95064,x95065,x95063)),x95065))+~P1(f317(f317(f319(x95063),x95062),f317(f317(f91(f904(x95063,a893)),x95065),x95064)))
% 92.29/92.11 [9574]P1(f317(x95741,x95742))+P1(f317(f317(f319(x95743),f337(x95741,x95744,x95745,x95743)),x95744))+P1(f317(f317(f319(x95743),f336(x95741,x95744,x95745,x95743)),x95745))+~P1(f317(f317(f319(x95743),x95742),f317(f317(f91(f904(x95743,a893)),x95745),x95744)))
% 92.29/92.11 [9576]~P1(f317(x95762,x95765))+P1(f317(f317(f319(x95761),f339(x95762,x95763,x95764,x95761)),x95763))+P1(f317(f317(f319(x95761),f335(x95762,x95763,x95764,x95761)),x95764))+~P1(f317(f317(f319(x95761),x95765),f317(f317(f91(f904(x95761,a893)),x95764),x95763)))
% 92.29/92.11 [9732]~P8(x97321,x97325,x97324)+~P1(f317(f317(f319(x97321),x97323),x97325))+P1(f317(f317(f319(f903(x97321,x97321)),f317(f317(f242(x97321,x97321),x97322),x97323)),x97324))+~P1(f317(f317(f224(f904(x97321,a893)),f317(f275(x97321,x97321,x97324),f317(f317(f299(x97321),x97323),f178(f904(x97321,a893))))),f317(f275(x97321,x97321,x97324),f317(f317(f299(x97321),x97322),f178(f904(x97321,a893))))))
% 92.29/92.11 [9859]~P107(x98595)+~P5(x98595)+P1(f317(f317(f319(x98591),f472(x98592,x98593,x98594,x98591,x98595)),x98594))+~P1(f317(f317(f225(x98595),f317(f317(f36(x98591,x98595),x98594),x98593)),x98592))
% 92.29/92.11 [9891]~P84(x98915)+~P82(x98915)+P1(f317(f317(f319(x98911),f673(x98912,x98913,x98914,x98911,x98915)),f317(f162(x98911),x98914)))+P1(f317(f317(f224(x98915),f317(f155(x98915),f317(f317(f144(x98911,x98915),x98913),x98914))),f317(f155(x98915),f317(f317(f144(x98911,x98915),x98912),x98914))))
% 92.29/92.11 [9999]~P107(x99991)+~P5(x99991)+P1(f317(f317(f225(x99991),f317(x99992,f472(x99993,x99992,x99994,x99995,x99991))),x99993))+~P1(f317(f317(f225(x99991),f317(f317(f36(x99995,x99991),x99994),x99992)),x99993))
% 92.29/92.11 [10138]~P84(x101381)+~P82(x101381)+~P1(f317(f317(f224(x101381),f317(x101383,f673(x101385,x101383,x101384,x101382,x101381))),f317(x101385,f673(x101385,x101383,x101384,x101382,x101381))))+P1(f317(f317(f224(x101381),f317(f155(x101381),f317(f317(f144(x101382,x101381),x101383),x101384))),f317(f155(x101381),f317(f317(f144(x101382,x101381),x101385),x101384))))
% 92.29/92.11 [8789]~P76(x87891)+~P1(f317(f29(x87894),x87895))+~P1(f317(f317(f319(x87894),x87893),x87895))+E(f317(f317(f75(x87891),f317(x87892,x87893)),f317(f317(f9(x87894,x87891),x87892),f317(f317(f23(f904(x87894,a893)),x87895),f317(f317(f299(x87894),x87893),f178(f904(x87894,a893)))))),f317(f317(f9(x87894,x87891),x87892),x87895))
% 92.29/92.11 [8790]~P77(x87901)+~P1(f317(f29(x87904),x87905))+~P1(f317(f317(f319(x87904),x87903),x87905))+E(f317(f317(f74(x87901),f317(x87902,x87903)),f317(f317(f6(x87904,x87901),x87902),f317(f317(f23(f904(x87904,a893)),x87905),f317(f317(f299(x87904),x87903),f178(f904(x87904,a893)))))),f317(f317(f6(x87904,x87901),x87902),x87905))
% 92.29/92.11 [8791]~P77(x87911)+~P1(f317(f29(x87914),x87915))+~P1(f317(f317(f319(x87914),x87913),x87915))+E(f317(f317(f74(x87911),f317(x87912,x87913)),f317(f317(f6(x87914,x87911),x87912),f317(f317(f23(f904(x87914,a893)),x87915),f317(f317(f299(x87914),x87913),f178(f904(x87914,a893)))))),f317(f317(f6(x87914,x87911),x87912),x87915))
% 92.29/92.11 [8851]~P18(x88511,x88514,x88515)+~P1(f317(f29(x88511),x88512))+E(f317(f317(f23(f904(x88511,a893)),x88512),f317(f317(f299(x88511),x88513),f178(f904(x88511,a893)))),f178(f904(x88511,a893)))+E(f317(f317(x88514,x88513),f317(x88515,f317(f317(f23(f904(x88511,a893)),x88512),f317(f317(f299(x88511),x88513),f178(f904(x88511,a893)))))),f317(x88515,f317(f317(f299(x88511),x88513),x88512)))
% 92.29/92.11 [9227]~P77(x92271)+~P1(f317(f29(x92272),x92275))+~P1(f317(f29(x92272),x92274))+E(f317(f317(f74(x92271),f317(f317(f6(x92272,x92271),x92273),f317(f317(f91(f904(x92272,a893)),x92274),x92275))),f317(f317(f6(x92272,x92271),x92273),f317(f317(f92(f904(x92272,a893)),x92274),x92275))),f317(f317(f74(x92271),f317(f317(f6(x92272,x92271),x92273),x92274)),f317(f317(f6(x92272,x92271),x92273),x92275)))
% 92.29/92.11 [9228]~P76(x92281)+~P1(f317(f29(x92282),x92285))+~P1(f317(f29(x92282),x92284))+E(f317(f317(f75(x92281),f317(f317(f9(x92282,x92281),x92283),f317(f317(f91(f904(x92282,a893)),x92284),x92285))),f317(f317(f9(x92282,x92281),x92283),f317(f317(f92(f904(x92282,a893)),x92284),x92285))),f317(f317(f75(x92281),f317(f317(f9(x92282,x92281),x92283),x92284)),f317(f317(f9(x92282,x92281),x92283),x92285)))
% 92.29/92.11 [9229]~P76(x92291)+~P1(f317(f29(x92292),x92295))+~P1(f317(f29(x92292),x92294))+E(f317(f317(f75(x92291),f317(f317(f9(x92292,x92291),x92293),f317(f317(f91(f904(x92292,a893)),x92294),x92295))),f317(f317(f9(x92292,x92291),x92293),f317(f317(f92(f904(x92292,a893)),x92294),x92295))),f317(f317(f75(x92291),f317(f317(f9(x92292,x92291),x92293),x92294)),f317(f317(f9(x92292,x92291),x92293),x92295)))
% 92.29/92.11 [9371]~P68(x93711)+~P1(f317(f29(x93712),x93715))+~P1(f317(f29(x93712),x93714))+E(f317(f317(f23(x93711),f317(f317(f74(x93711),f317(f317(f6(x93712,x93711),x93713),x93714)),f317(f317(f6(x93712,x93711),x93713),x93715))),f317(f317(f6(x93712,x93711),x93713),f317(f317(f92(f904(x93712,a893)),x93714),x93715))),f317(f317(f6(x93712,x93711),x93713),f317(f317(f91(f904(x93712,a893)),x93714),x93715)))
% 92.29/92.11 [9590]~P24(x95901,x95902,x95903,x95905)+~P24(x95901,x95902,x95903,x95904)+P24(x95901,x95902,x95903,f317(f317(f91(f904(x95901,a893)),x95904),x95905))+~E(f317(f317(f92(f904(x95902,a893)),f317(f300(x95901,x95902,x95903),f317(f317(f23(f904(x95901,a893)),x95904),x95905))),f317(f300(x95901,x95902,x95903),f317(f317(f23(f904(x95901,a893)),x95905),x95904))),f178(f904(x95902,a893)))
% 92.29/92.11 [9707]E(x97071,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),x97073))+~P1(f317(f45(x97072,x97071),f317(f317(f242(a1,a1),x97074),x97075)))+P1(f317(f45(x97072,f317(f317(f75(a1),x97071),x97073)),f317(f317(f242(a1,a1),f317(f317(f31(a1),x97074),x97073)),f317(f317(f74(a1),f317(f317(f75(a1),x97071),f41(a1,x97074,x97073))),x97075))))
% 92.29/92.11 [9715]~P1(f317(f317(f225(a897),f2(a897)),x97153))+~P1(f317(f317(f225(a897),f2(a897)),x97152))+~P1(f317(f44(x97151,x97152),f317(f317(f242(a897,a897),x97154),x97155)))+P1(f317(f44(x97151,f317(f317(f75(a897),x97152),x97153)),f317(f317(f242(a897,a897),f317(f317(f31(a897),x97154),x97153)),f317(f317(f74(a897),f317(f317(f75(a897),x97152),f41(a897,x97154,x97153))),x97155))))
% 92.29/92.11 [9764]~P76(x97641)+~P1(f317(f29(x97642),x97645))+~P1(f317(f29(x97642),x97644))+E(f317(f317(f75(x97641),f317(f317(f317(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),f317(f317(f91(f904(x97642,a893)),x97644),x97645))),f317(f317(f317(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),f317(f317(f92(f904(x97642,a893)),x97644),x97645))),f317(f317(f75(x97641),f317(f317(f317(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),x97644)),f317(f317(f317(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),x97645)))
% 92.29/92.11 [9766]~E(f317(f317(f165(x97661),x97665),x97662),f317(f317(f165(x97661),x97665),x97663))+P1(f317(f317(f319(f903(f898(x97661),f898(x97661))),f317(f317(f242(f898(x97661),f898(x97661)),x97662),x97663)),f137(x97661,x97664)))+~P1(f317(f317(f225(a897),x97665),f317(f317(f228(a897),f317(f179(f898(x97661)),x97662)),f317(f179(f898(x97661)),x97663))))+~P1(f317(f317(f319(f903(x97661,x97661)),f317(f317(f242(x97661,x97661),f317(f317(f154(x97661),x97662),x97665)),f317(f317(f154(x97661),x97663),x97665))),x97664))
% 92.29/92.11 [9880]~P84(x98805)+~P144(x98805)+P1(f317(f317(f319(x98801),f420(x98802,x98803,x98804,x98801,x98805)),x98804))+P1(f317(f317(f224(x98805),f317(f317(f6(x98801,x98805),x98803),x98804)),f317(f317(f75(x98805),f317(f90(x98805),f317(f30(x98801),x98804))),x98802)))
% 92.29/92.11 [10056]~P84(x100561)+~P144(x100561)+~P1(f317(f317(f224(x100561),f317(x100563,f420(x100565,x100563,x100564,x100562,x100561))),x100565))+P1(f317(f317(f224(x100561),f317(f317(f6(x100562,x100561),x100563),x100564)),f317(f317(f75(x100561),f317(f90(x100561),f317(f30(x100562),x100564))),x100565)))
% 92.29/92.11 [8819]E(f317(f317(f124(x88191),x88192),x88193),f317(f317(f124(x88191),x88194),x88195))+~E(f317(f317(f165(x88191),f317(f179(f898(x88191)),x88192)),x88194),x88192)+~E(f317(f317(f124(x88191),f317(f317(f128(x88191),f317(f179(f898(x88191)),x88192)),x88194)),x88195),x88193)+P1(f317(f317(f224(a897),f317(f179(f898(x88191)),x88194)),f317(f179(f898(x88191)),x88192)))
% 92.29/92.11 [8949]E(f317(f317(f124(x89491),x89492),x89493),f317(f317(f124(x89491),x89494),x89495))+~E(f317(f317(f165(x89491),f317(f179(f898(x89491)),x89492)),x89494),x89492)+~E(x89493,f317(f317(f124(x89491),f317(f317(f128(x89491),f317(f179(f898(x89491)),x89492)),x89494)),x89495))+~P1(f317(f317(f224(a897),f317(f179(f898(x89491)),x89492)),f317(f179(f898(x89491)),x89494)))
% 92.29/92.11 [10202]~P1(f317(x102025,x102024))+~P1(f317(f29(x102022),f317(f252(x102022),x102025)))+P1(f317(f29(x102021),f317(f252(x102021),f317(f317(f7(x102021,x102022,a893),x102023),x102024))))+~P1(f317(f29(x102021),f317(f252(x102021),f317(f317(f8(f904(x102022,a893),a893,x102021),f81(x102022)),f317(f317(f8(f904(x102022,a893),f904(x102022,a893),x102021),f317(f18(x102022,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102022),a315),x102025))),x102023)))))
% 92.29/92.11 [10278]~P1(f317(f29(x102782),x102785))+~P1(f317(f317(f319(x102782),x102784),x102785))+P1(f317(f29(x102781),f317(f252(x102781),f317(f317(f7(x102781,x102782,a893),x102783),x102784))))+~P1(f317(f29(x102781),f317(f252(x102781),f317(f317(f8(f904(x102782,a893),a893,x102781),f81(x102782)),f317(f317(f8(f904(x102782,a893),f904(x102782,a893),x102781),f317(f18(x102782,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102782),a315),f317(f317(f7(x102782,f904(x102782,a893),a893),f319(x102782)),x102785)))),x102783)))))
% 92.29/92.11 [8605]~P19(x86055,x86051,x86056,x86052)+E(f317(f67(x86051,x86051,x86051,f317(x86052,x86053)),f317(x86052,x86054)),f317(f67(x86051,x86051,x86051,f317(x86052,x86054)),f317(x86052,x86053)))+~P1(f317(f29(x86055),x86054))+~P1(f317(f29(x86055),x86053))
% 92.29/92.11 [7998]~P24(x79981,x79982,x79984,x79983)+~E(f317(x79984,x79986),x79985)+E(f317(f71(x79981,x79982,x79983,x79984),x79985),x79986)+~P1(f317(f317(f319(x79981),x79986),x79983))
% 92.29/92.11 [7999]~P24(x79991,x79992,x79994,x79993)+~E(f317(x79994,x79996),x79995)+E(f317(f85(x79991,x79992,x79993,x79994),x79995),x79996)+~P1(f317(f317(f319(x79991),x79996),x79993))
% 92.29/92.11 [8192]~P20(x81926,x81921,x81924,x81922)+E(f317(f67(x81921,x81921,x81921,f317(x81922,x81923)),f317(x81924,x81925)),f317(x81922,x81923))+~P1(f317(f29(x81926),x81923))+~P1(f317(f317(f319(x81926),x81925),x81923))
% 92.29/92.11 [9321]E(x93211,x93212)+~E(f317(f85(x93213,x93214,x93215,x93216),x93211),f317(f85(x93213,x93214,x93215,x93216),x93212))+~P1(f317(f317(f319(x93214),x93212),f317(f300(x93213,x93214,x93216),x93215)))+~P1(f317(f317(f319(x93214),x93211),f317(f300(x93213,x93214,x93216),x93215)))
% 92.29/92.11 [9422]~P19(x94223,x94221,x94226,x94222)+E(f317(f67(x94221,x94221,x94221,f317(x94222,f317(f317(f23(f904(x94223,a893)),x94224),f317(f317(f299(x94223),x94225),f178(f904(x94223,a893)))))),f317(x94226,x94225)),f317(x94222,x94224))+~P1(f317(f29(x94223),x94224))+~P1(f317(f317(f319(x94223),x94225),x94224))
% 92.29/92.11 [7079]~P4(x70791)+~E(f41(x70791,x70793,x70794),f41(x70791,x70796,x70794))+~E(f41(x70791,x70792,x70794),f41(x70791,x70795,x70794))+E(f41(x70791,f317(f317(f23(x70791),x70792),x70793),x70794),f41(x70791,f317(f317(f23(x70791),x70795),x70796),x70794))
% 92.29/92.11 [7080]~P3(x70801)+~E(f41(x70801,x70803,x70804),f41(x70801,x70806,x70804))+~E(f41(x70801,x70802,x70804),f41(x70801,x70805,x70804))+E(f41(x70801,f317(f317(f74(x70801),x70802),x70803),x70804),f41(x70801,f317(f317(f74(x70801),x70805),x70806),x70804))
% 92.29/92.11 [7081]~P3(x70811)+~E(f41(x70811,x70813,x70814),f41(x70811,x70816,x70814))+~E(f41(x70811,x70812,x70814),f41(x70811,x70815,x70814))+E(f41(x70811,f317(f317(f75(x70811),x70812),x70813),x70814),f41(x70811,f317(f317(f75(x70811),x70815),x70816),x70814))
% 92.29/92.11 [7893]~P16(x78931,x78932,x78933)+~P1(f317(f29(x78931),x78936))+E(f317(f317(f59(x78931,x78932,x78933),x78934),f317(f317(f299(x78931),x78935),x78936)),f317(f317(f59(x78931,x78932,x78933),f317(f317(x78933,x78935),x78934)),x78936))+P1(f317(f317(f319(x78931),x78935),x78936))
% 92.29/92.11 [7957]~P5(x79571)+P1(f317(f317(f224(x79571),x79572),f317(x79573,x79574)))+~P1(f317(f317(f319(x79575),x79574),x79576))+~P1(f317(f317(f224(x79571),x79572),f317(f317(f36(x79575,x79571),x79576),x79573)))
% 92.29/92.11 [8114]~P16(x81141,x81142,x81143)+~P1(f317(f29(x81141),x81146))+E(f317(f317(f59(x81141,x81142,x81143),x81144),f317(f317(f299(x81141),x81145),x81146)),f317(f317(x81143,x81145),f317(f317(f59(x81141,x81142,x81143),x81144),x81146)))+P1(f317(f317(f319(x81141),x81145),x81146))
% 92.29/92.11 [8210]~P107(x82103)+~P1(f317(x82102,x82105))+~P13(x82103,f317(f317(f144(x82101,x82103),x82104),x82106))+E(f317(f126(x82101,x82102),f317(f317(f138(x82101,x82103,x82104),x82105),x82106)),f317(f317(f138(x82101,x82103,x82104),x82105),f317(f126(x82101,x82102),x82106)))
% 92.29/92.11 [8233]E(x82331,x82332)+E(x82333,f2(a1))+~P1(f317(f45(x82334,x82333),f317(f317(f242(a1,a1),x82335),x82332)))+~P1(f317(f45(x82334,x82333),f317(f317(f242(a1,a1),x82336),x82331)))
% 92.29/92.11 [8234]E(x82341,x82342)+E(x82343,f2(a1))+~P1(f317(f45(x82344,x82343),f317(f317(f242(a1,a1),x82342),x82345)))+~P1(f317(f45(x82344,x82343),f317(f317(f242(a1,a1),x82341),x82346)))
% 92.29/92.11 [8257]~P19(x82572,x82575,x82576,x82571)+~P1(f317(f29(x82572),x82574))+E(f317(x82571,f317(f317(f299(x82572),x82573),x82574)),f317(f67(x82575,x82575,x82575,f317(x82571,x82574)),f317(x82576,x82573)))+P1(f317(f317(f319(x82572),x82573),x82574))
% 92.29/92.11 [8479]~P20(x84795,x84791,x84796,x84792)+E(f317(f67(x84791,x84791,x84791,f317(x84792,x84793)),f317(x84792,x84794)),f317(x84792,x84793))+~P1(f317(f29(x84795),x84793))+~P1(f317(f317(f224(f904(x84795,a893)),x84794),x84793))
% 92.29/92.11 [9637]~P24(x96371,x96372,x96374,x96373)+~P1(f317(f317(f319(x96372),x96375),f317(f300(x96371,x96372,x96374),x96373)))+P1(f317(f317(f319(x96371),f317(f71(x96371,x96372,x96373,x96374),x96375)),x96376))+~P1(f317(f317(f224(f904(x96371,a893)),x96373),x96376))
% 92.29/92.11 [10010]~P77(x100102)+~E(f424(x100101,x100103,x100105,x100106,x100104,x100102),f425(x100101,x100103,x100105,x100106,x100104,x100102))+~P1(f317(f29(x100104),x100106))+E(f317(f317(f6(x100101,x100102),x100103),f317(f300(x100104,x100101,x100105),x100106)),f317(f317(f6(x100104,x100102),f317(f67(x100101,x100102,x100104,x100103),x100105)),x100106))
% 92.29/92.11 [10038]~P77(x100386)+E(f317(x100381,f424(x100382,x100383,x100381,x100384,x100385,x100386)),f317(x100381,f425(x100382,x100383,x100381,x100384,x100385,x100386)))+E(f317(f317(f6(x100382,x100386),x100383),f317(f300(x100385,x100382,x100381),x100384)),f317(f317(f6(x100385,x100386),f317(f67(x100382,x100386,x100385,x100383),x100381)),x100384))+~P1(f317(f29(x100385),x100384))
% 92.29/92.11 [10088]~P77(x100882)+~E(f317(x100883,f317(x100885,f425(x100881,x100883,x100885,x100886,x100884,x100882))),f2(x100882))+~P1(f317(f29(x100884),x100886))+E(f317(f317(f6(x100881,x100882),x100883),f317(f300(x100884,x100881,x100885),x100886)),f317(f317(f6(x100884,x100882),f317(f67(x100881,x100882,x100884,x100883),x100885)),x100886))
% 92.29/92.11 [10146]~P77(x101462)+~P1(f317(f29(x101464),x101466))+E(f317(f317(f6(x101461,x101462),x101463),f317(f300(x101464,x101461,x101465),x101466)),f317(f317(f6(x101464,x101462),f317(f67(x101461,x101462,x101464,x101463),x101465)),x101466))+P1(f317(f317(f319(x101464),f425(x101461,x101463,x101465,x101466,x101464,x101462)),x101466))
% 92.29/92.11 [10147]~P77(x101472)+~P1(f317(f29(x101474),x101476))+E(f317(f317(f6(x101471,x101472),x101473),f317(f300(x101474,x101471,x101475),x101476)),f317(f317(f6(x101474,x101472),f317(f67(x101471,x101472,x101474,x101473),x101475)),x101476))+P1(f317(f317(f319(x101474),f424(x101471,x101473,x101475,x101476,x101474,x101472)),x101476))
% 92.29/92.11 [10277]~P76(x102771)+~P1(f317(f29(x102772),x102776))+E(f317(f317(f317(f60(x102771,x102772,f75(x102771)),f317(f317(f18(x102772,f904(x102773,a893),x102771),f317(f317(f7(x102772,x102771,f904(f904(x102773,a893),x102771)),f317(f317(f8(f904(x102773,x102771),f904(x102771,f904(f904(x102773,a893),x102771)),x102772),f60(x102771,x102773,f75(x102771))),x102774)),f72(x102771))),x102775)),f72(x102771)),x102776),f317(f317(f317(f60(x102771,f903(x102772,x102773),f75(x102771)),f317(f247(x102772,x102773,x102771),x102774)),f72(x102771)),f317(f317(f244(x102772,x102773),x102776),x102775)))+P1(f317(f317(f319(x102772),f498(x102774,x102775,x102773,x102776,x102772,x102771)),x102776))
% 92.29/92.11 [10299]~P76(x102991)+~P1(f317(f29(x102992),x102996))+E(f317(f317(f317(f60(x102991,x102992,f75(x102991)),f317(f317(f18(x102992,f904(x102993,a893),x102991),f317(f317(f7(x102992,x102991,f904(f904(x102993,a893),x102991)),f317(f317(f8(f904(x102993,x102991),f904(x102991,f904(f904(x102993,a893),x102991)),x102992),f60(x102991,x102993,f75(x102991))),x102994)),f72(x102991))),x102995)),f72(x102991)),x102996),f317(f317(f317(f60(x102991,f903(x102992,x102993),f75(x102991)),f317(f247(x102992,x102993,x102991),x102994)),f72(x102991)),f317(f317(f244(x102992,x102993),x102996),x102995)))+~P1(f317(f29(x102993),f317(x102995,f498(x102994,x102995,x102993,x102996,x102992,x102991))))
% 92.29/92.11 [8389]~P20(x83892,x83895,x83896,x83891)+~P1(f317(f29(x83892),x83894))+~P1(f317(f29(x83892),x83893))+E(f317(x83891,f317(f317(f91(f904(x83892,a893)),x83893),x83894)),f317(f67(x83895,x83895,x83895,f317(x83891,x83893)),f317(x83891,x83894)))
% 92.29/92.11 [8606]~P5(x86061)+P1(f317(f317(f224(x86061),f317(x86062,x86063)),x86064))+~P1(f317(f317(f319(x86065),x86063),x86066))+~P1(f317(f317(f224(x86061),f317(f317(f35(x86065,x86061),x86066),x86062)),x86064))
% 92.29/92.11 [9035]~P24(x90352,x90351,x90353,x90356)+E(f317(f317(f23(f904(x90351,a893)),f317(f300(x90352,x90351,x90353),x90354)),f317(f300(x90352,x90351,x90353),x90355)),f317(f300(x90352,x90351,x90353),f317(f317(f23(f904(x90352,a893)),x90354),x90355)))+~P1(f317(f317(f224(f904(x90352,a893)),x90355),x90356))+~P1(f317(f317(f224(f904(x90352,a893)),x90354),x90356))
% 92.29/92.11 [9036]~P24(x90362,x90361,x90363,x90366)+E(f317(f317(f92(f904(x90361,a893)),f317(f300(x90362,x90361,x90363),x90364)),f317(f300(x90362,x90361,x90363),x90365)),f317(f300(x90362,x90361,x90363),f317(f317(f92(f904(x90362,a893)),x90364),x90365)))+~P1(f317(f317(f224(f904(x90362,a893)),x90365),x90366))+~P1(f317(f317(f224(f904(x90362,a893)),x90364),x90366))
% 92.29/92.11 [9294]E(x92941,x92942)+~P54(x92943,x92944,x92945)+~P1(f317(f317(f319(f903(x92943,x92944)),f317(f317(f242(x92943,x92944),x92946),x92942)),x92945))+~P1(f317(f317(f319(f903(x92943,x92944)),f317(f317(f242(x92943,x92944),x92946),x92941)),x92945))
% 92.29/92.11 [9295]E(x92951,x92952)+~P54(x92953,x92954,x92955)+~P1(f317(f317(f319(f903(x92953,x92954)),f317(f317(f242(x92953,x92954),x92956),x92952)),x92955))+~P1(f317(f317(f319(f903(x92953,x92954)),f317(f317(f242(x92953,x92954),x92956),x92951)),x92955))
% 92.29/92.11 [10084]~P73(x100841)+~E(f317(x100843,f765(x100844,x100846,x100843,x100845,x100842,x100841)),f317(x100846,f765(x100844,x100846,x100843,x100845,x100842,x100841)))+~P1(f317(f29(x100842),x100845))+E(f317(f317(f317(f60(x100841,x100842,f75(x100841)),x100843),x100844),x100845),f317(f317(f317(f60(x100841,x100842,f75(x100841)),x100846),x100844),x100845))
% 92.29/92.11 [10144]~P73(x101441)+~P1(f317(f29(x101442),x101445))+E(f317(f317(f317(f60(x101441,x101442,f75(x101441)),x101443),x101444),x101445),f317(f317(f317(f60(x101441,x101442,f75(x101441)),x101446),x101444),x101445))+P1(f317(f317(f319(x101442),f765(x101444,x101443,x101446,x101445,x101442,x101441)),x101445))
% 92.29/92.11 [8833]~P73(x88331)+~P1(f317(f29(x88332),x88336))+P1(f317(f317(f319(x88332),x88335),x88336))+E(f317(f317(f317(f60(x88331,x88332,f75(x88331)),x88333),x88334),f317(f317(f299(x88332),x88335),x88336)),f317(f317(f75(x88331),f317(x88333,x88335)),f317(f317(f317(f60(x88331,x88332,f75(x88331)),x88333),x88334),x88336)))
% 92.29/92.11 [8886]~P8(x88861,x88866,x88863)+~P11(x88861,f904(x88862,a893),x88863,x88865)+~P1(f317(f317(f319(x88861),x88864),x88866))+E(f317(f317(f35(x88861,f904(x88862,a893)),f317(f275(x88861,x88861,x88863),f317(f317(f299(x88861),x88864),f178(f904(x88861,a893))))),x88865),f317(x88865,x88864))
% 92.29/92.11 [9012]~P16(x90123,x90124,x90121)+~P1(f317(f29(x90123),x90126))+~P1(f317(f317(f319(x90123),x90122),x90126))+E(f317(f317(x90121,x90122),f317(f317(f59(x90123,x90124,x90121),x90125),f317(f317(f23(f904(x90123,a893)),x90126),f317(f317(f299(x90123),x90122),f178(f904(x90123,a893)))))),f317(f317(f59(x90123,x90124,x90121),x90125),x90126))
% 92.29/92.11 [9305]~P19(x93053,x93051,x93056,x93052)+~P1(f317(f29(x93053),x93055))+~P1(f317(f29(x93053),x93054))+E(f317(f67(x93051,x93051,x93051,f317(x93052,f317(f317(f91(f904(x93053,a893)),x93054),x93055))),f317(x93052,f317(f317(f92(f904(x93053,a893)),x93054),x93055))),f317(f67(x93051,x93051,x93051,f317(x93052,x93054)),f317(x93052,x93055)))
% 92.29/92.11 [9660]~E(x96603,f317(f317(f149(x96601,x96602),x96605),x96606))+P1(f317(f317(f319(f903(f898(x96601),f898(x96601))),f317(f317(f242(f898(x96601),f898(x96601)),x96602),x96603)),f147(x96601,x96604)))+~P1(f317(f317(f225(a897),x96605),f317(f179(f898(x96601)),x96602)))+~P1(f317(f317(f319(f903(x96601,x96601)),f317(f317(f242(x96601,x96601),f317(f317(f154(x96601),x96602),x96605)),x96606)),x96604))
% 92.29/92.11 [10161]~P76(x101612)+~P1(f317(f29(x101611),x101616))+P1(f317(f317(f319(x101611),f504(x101614,x101615,x101613,x101616,x101611,x101612)),x101616))+E(f317(f317(f9(x101611,x101612),f317(f317(f18(x101611,f904(x101613,a893),x101612),f317(f317(f8(f904(x101613,x101612),f904(f904(x101613,a893),x101612),x101611),f9(x101613,x101612)),x101614)),x101615)),x101616),f317(f317(f9(f903(x101611,x101613),x101612),f317(f247(x101611,x101613,x101612),x101614)),f317(f317(f244(x101611,x101613),x101616),x101615)))
% 92.29/92.11 [10162]~P77(x101622)+~P1(f317(f29(x101621),x101626))+P1(f317(f317(f319(x101621),f505(x101624,x101625,x101623,x101626,x101621,x101622)),x101626))+E(f317(f317(f6(x101621,x101622),f317(f317(f18(x101621,f904(x101623,a893),x101622),f317(f317(f8(f904(x101623,x101622),f904(f904(x101623,a893),x101622),x101621),f6(x101623,x101622)),x101624)),x101625)),x101626),f317(f317(f6(f903(x101621,x101623),x101622),f317(f247(x101621,x101623,x101622),x101624)),f317(f317(f244(x101621,x101623),x101626),x101625)))
% 92.29/92.11 [10200]~P76(x102002)+~P1(f317(f29(x102001),x102006))+~P1(f317(f29(x102003),f317(x102005,f504(x102004,x102005,x102003,x102006,x102001,x102002))))+E(f317(f317(f9(x102001,x102002),f317(f317(f18(x102001,f904(x102003,a893),x102002),f317(f317(f8(f904(x102003,x102002),f904(f904(x102003,a893),x102002),x102001),f9(x102003,x102002)),x102004)),x102005)),x102006),f317(f317(f9(f903(x102001,x102003),x102002),f317(f247(x102001,x102003,x102002),x102004)),f317(f317(f244(x102001,x102003),x102006),x102005)))
% 92.29/92.11 [10201]~P77(x102012)+~P1(f317(f29(x102011),x102016))+~P1(f317(f29(x102013),f317(x102015,f505(x102014,x102015,x102013,x102016,x102011,x102012))))+E(f317(f317(f6(x102011,x102012),f317(f317(f18(x102011,f904(x102013,a893),x102012),f317(f317(f8(f904(x102013,x102012),f904(f904(x102013,a893),x102012),x102011),f6(x102013,x102012)),x102014)),x102015)),x102016),f317(f317(f6(f903(x102011,x102013),x102012),f317(f247(x102011,x102013,x102012),x102014)),f317(f317(f244(x102011,x102013),x102016),x102015)))
% 92.29/92.11 [10183]~P76(x101832)+~P1(f317(f29(x101831),x101836))+P1(f317(f317(f319(x101831),x101833),x101836))+E(f317(f317(f9(x101831,x101832),f317(f317(f7(x101831,x101832,x101832),f317(f317(f18(x101831,x101832,f904(x101832,x101832)),f317(f317(f8(a893,f904(x101832,f904(x101832,x101832)),x101831),f86(x101832)),f317(f317(f7(x101831,x101831,a893),a314),x101833))),x101834)),x101835)),x101836),f317(f317(f234(x101832),x101835),f317(f30(x101831),x101836)))
% 92.29/92.11 [10186]~P76(x101862)+~P1(f317(f29(x101861),x101866))+~P1(f317(f317(f319(x101861),x101863),x101866))+E(f317(f317(f9(x101861,x101862),f317(f317(f7(x101861,x101862,x101862),f317(f317(f18(x101861,x101862,f904(x101862,x101862)),f317(f317(f8(a893,f904(x101862,f904(x101862,x101862)),x101861),f86(x101862)),f317(f317(f7(x101861,x101861,a893),a314),x101863))),x101864)),x101865)),x101866),f317(f317(f75(x101862),f317(x101864,x101863)),f317(f317(f234(x101862),x101865),f317(f317(f23(a897),f317(f30(x101861),x101866)),f72(a897)))))
% 92.29/92.11 [10264]~P1(f317(f29(x102641),x102645))+~P1(f317(f29(x102642),x102643))+P1(f317(f317(f319(x102642),f526(x102646,x102644,x102643,x102642,x102645,x102641)),x102643))+E(f317(f317(f6(x102641,a897),f317(f317(f8(f904(x102642,a893),a897,x102641),f30(x102642)),f317(f317(f8(f904(x102642,a893),f904(x102642,a893),x102641),f252(x102642)),f317(f317(f8(f904(x102642,a893),f904(x102642,a893),x102641),f317(f18(x102642,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102642),a315),f317(f317(f7(x102642,f904(x102642,a893),a893),f319(x102642)),x102643)))),x102644)))),x102645),f317(f317(f75(a897),x102646),f317(f30(x102642),x102643)))
% 92.29/92.11 [10265]~P1(f317(f29(x102651),x102655))+~P1(f317(f29(x102652),x102653))+P1(f317(f317(f319(x102652),f527(x102656,x102654,x102653,x102652,x102655,x102651)),x102653))+E(f317(f317(f6(x102651,a897),f317(f317(f8(f904(x102652,a893),a897,x102651),f30(x102652)),f317(f317(f8(f904(x102652,a893),f904(x102652,a893),x102651),f252(x102652)),f317(f317(f8(f904(x102652,a893),f904(x102652,a893),x102651),f317(f18(x102652,a893,a893),f317(f317(f8(a893,f904(a893,a893),x102652),a315),f317(f317(f7(x102652,f904(x102652,a893),a893),f319(x102652)),x102653)))),x102654)))),x102655),f317(f317(f6(x102652,a897),x102656),x102653))
% 92.29/92.11 [10312]~P1(f317(f29(x103122),x103123))+~P1(f317(f29(x103121),x103125))+~E(f317(f30(x103121),f317(f252(x103121),f317(f317(f18(x103121,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103121),a315),f317(f317(f7(x103121,f904(x103121,a893),a893),f319(x103121)),x103125))),f317(f317(f7(x103121,x103122,a893),x103124),f526(x103126,x103124,x103123,x103122,x103125,x103121))))),x103126)+E(f317(f317(f6(x103121,a897),f317(f317(f8(f904(x103122,a893),a897,x103121),f30(x103122)),f317(f317(f8(f904(x103122,a893),f904(x103122,a893),x103121),f252(x103122)),f317(f317(f8(f904(x103122,a893),f904(x103122,a893),x103121),f317(f18(x103122,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103122),a315),f317(f317(f7(x103122,f904(x103122,a893),a893),f319(x103122)),x103123)))),x103124)))),x103125),f317(f317(f75(a897),x103126),f317(f30(x103122),x103123)))
% 92.29/92.11 [10314]~P1(f317(f29(x103142),x103143))+~P1(f317(f29(x103141),x103145))+~E(f317(f30(x103141),f317(f252(x103141),f317(f317(f18(x103141,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103141),a315),f317(f317(f7(x103141,f904(x103141,a893),a893),f319(x103141)),x103145))),f317(f317(f7(x103141,x103142,a893),x103144),f527(x103146,x103144,x103143,x103142,x103145,x103141))))),f317(x103146,f527(x103146,x103144,x103143,x103142,x103145,x103141)))+E(f317(f317(f6(x103141,a897),f317(f317(f8(f904(x103142,a893),a897,x103141),f30(x103142)),f317(f317(f8(f904(x103142,a893),f904(x103142,a893),x103141),f252(x103142)),f317(f317(f8(f904(x103142,a893),f904(x103142,a893),x103141),f317(f18(x103142,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103142),a315),f317(f317(f7(x103142,f904(x103142,a893),a893),f319(x103142)),x103143)))),x103144)))),x103145),f317(f317(f6(x103142,a897),x103146),x103143))
% 92.29/92.11 [9936]E(x99361,x99362)+~P16(x99363,x99364,x99365)+~P1(f317(f61(x99363,x99364,x99365,x99366,x99367),x99362))+~P1(f317(f61(x99363,x99364,x99365,x99366,x99367),x99361))
% 92.29/92.11 [9577]~P33(x95771,x95772,x95773,x95775,x95777)+~P33(x95771,x95772,x95773,x95774,x95776)+P33(x95771,x95772,x95773,f317(f317(f124(x95771),x95774),x95775),f317(f317(f124(x95772),x95776),x95777))+~E(f317(f179(f898(x95771)),x95774),f317(f179(f898(x95772)),x95776))
% 92.29/92.11 [9736]P1(f317(x97361,x97362))+~P1(f317(f317(f319(x97367),x97362),f317(x97366,x97364)))+~P1(f317(x97361,f360(x97361,x97366,x97365,x97363,x97367)))+~P1(f317(f317(f319(x97363),x97364),x97365))
% 92.29/92.11 [10175]~P16(x101757,x101756,x101751)+E(f317(f317(x101751,x101752),f778(x101752,x101753,x101754,x101755,x101751,x101756,x101757)),x101753)+~P1(f317(f61(x101757,x101756,x101751,x101755,x101754),x101753))+~P1(f317(f317(f319(x101757),x101752),x101754))
% 92.29/92.11 [10242]~P16(x102421,x102422,x102423)+~P1(f317(f61(x102421,x102422,x102423,x102424,x102425),x102427))+P1(f317(f61(x102421,x102422,x102423,x102424,f317(f317(f23(f904(x102421,a893)),x102425),f317(f317(f299(x102421),x102426),f178(f904(x102421,a893))))),f778(x102426,x102427,x102425,x102424,x102423,x102422,x102421)))+~P1(f317(f317(f319(x102421),x102426),x102425))
% 92.29/92.11 [9378]P25(x93781,x93782,x93783,x93784,x93785)+~P25(x93781,x93782,x93783,x93786,x93787)+~E(f317(f300(x93781,x93782,x93783),x93784),x93785)+~P1(f317(f317(f224(f904(x93781,a893)),x93784),x93786))
% 92.29/92.11 [9628]~P25(x96281,x96282,x96283,x96285,x96287)+~P25(x96281,x96282,x96283,x96284,x96286)+P25(x96281,x96282,x96283,f317(f317(f91(f904(x96281,a893)),x96284),x96285),f317(f317(f91(f904(x96282,a893)),x96286),x96287))+~E(f317(f317(f92(f904(x96282,a893)),x96286),x96287),f178(f904(x96282,a893)))
% 92.29/92.11 [9633]~P73(x96331)+~P24(x96335,x96332,x96336,x96337)+~P1(f317(f29(x96335),x96337))+E(f317(f317(f317(f60(x96331,x96332,f75(x96331)),x96333),x96334),f317(f300(x96335,x96332,x96336),x96337)),f317(f317(f317(f60(x96331,x96335,f75(x96331)),f317(f67(x96332,x96331,x96335,x96333),x96336)),x96334),x96337))
% 92.29/92.11 [9759]~E(f317(f317(f299(x97591),x97595),x97596),f317(f317(f299(x97591),x97592),x97593))+~P1(f317(f61(x97591,x97591,x97594,x97592,x97593),x97597))+P1(f317(f317(f319(x97591),x97592),x97593))+P1(f317(f57(x97591,x97594,f317(f317(f299(x97591),x97595),x97596)),x97597))
% 92.29/92.11 [9843]P1(f317(x98431,x98432))+~P1(f317(f317(f319(x98433),x98432),f317(x98434,x98437)))+~P1(f317(f317(f319(x98436),x98437),x98435))+P1(f317(f317(f319(x98433),f360(x98431,x98434,x98435,x98436,x98433)),f317(f317(f35(x98436,f904(x98433,a893)),x98435),x98434)))
% 92.29/92.11 [9860]~P24(x98602,x98601,x98605,x98604)+~P24(x98601,x98603,x98606,f317(f300(x98602,x98601,x98605),x98604))+E(f317(f317(f67(x98601,x98602,x98603,f71(x98602,x98601,x98604,x98605)),f71(x98601,x98603,f317(f300(x98602,x98601,x98605),x98604),x98606)),x98607),f317(f71(x98602,x98603,x98604,f317(f67(x98601,x98603,x98602,x98606),x98605)),x98607))+~P1(f317(f317(f319(x98603),x98607),f317(f300(x98601,x98603,x98606),f317(f300(x98602,x98601,x98605),x98604))))
% 92.29/92.11 [9861]~P24(x98612,x98611,x98615,x98614)+~P24(x98611,x98613,x98616,f317(f300(x98612,x98611,x98615),x98614))+E(f317(f317(f67(x98611,x98612,x98613,f85(x98612,x98611,x98614,x98615)),f85(x98611,x98613,f317(f300(x98612,x98611,x98615),x98614),x98616)),x98617),f317(f85(x98612,x98613,x98614,f317(f67(x98611,x98613,x98612,x98616),x98615)),x98617))+~P1(f317(f317(f319(x98613),x98617),f317(f300(x98611,x98613,x98616),f317(f300(x98612,x98611,x98615),x98614))))
% 92.29/92.11 [10176]~P16(x101767,x101766,x101761)+E(f317(f317(x101761,x101762),f789(x101763,x101764,x101762,x101765,x101761,x101766,x101767)),x101763)+P1(f317(f317(f319(x101767),x101762),x101764))+~P1(f317(f61(x101767,x101766,x101761,x101765,f317(f317(f299(x101767),x101762),x101764)),x101763))
% 92.29/92.11 [10241]~P16(x102411,x102414,x102415)+P1(f317(f61(x102411,x102414,x102415,x102416,x102413),f789(x102417,x102413,x102412,x102416,x102415,x102414,x102411)))+P1(f317(f317(f319(x102411),x102412),x102413))+~P1(f317(f61(x102411,x102414,x102415,x102416,f317(f317(f299(x102411),x102412),x102413)),x102417))
% 92.29/92.11 [9918]E(x99181,f2(a1))+~P1(f317(f45(x99183,x99181),f317(f317(f242(a1,a1),x99185),x99187)))+~P1(f317(f45(x99182,x99181),f317(f317(f242(a1,a1),x99184),x99186)))+P1(f317(f45(f317(f317(f74(a1),x99182),x99183),x99181),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99184),x99185)),f317(f317(f31(a1),f317(f317(f74(a1),x99186),x99187)),x99181))),f41(a1,f317(f317(f74(a1),x99186),x99187),x99181))))
% 92.29/92.11 [9920]~P1(f317(f317(f225(a897),f2(a897)),x99203))+~P1(f317(f44(x99202,x99203),f317(f317(f242(a897,a897),x99205),x99207)))+~P1(f317(f44(x99201,x99203),f317(f317(f242(a897,a897),x99204),x99206)))+P1(f317(f44(f317(f317(f74(a897),x99201),x99202),x99203),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f74(a897),x99204),x99205)),f317(f317(f31(a897),f317(f317(f74(a897),x99206),x99207)),x99203))),f41(a897,f317(f317(f74(a897),x99206),x99207),x99203))))
% 92.29/92.11 [10311]~P77(x103112)+~P1(f317(f29(x103113),x103115))+~P1(f317(f29(x103111),x103117))+E(f317(f317(f6(x103111,x103112),f317(f317(f18(x103111,f904(x103113,a893),x103112),f317(f317(f8(f904(x103113,x103112),f904(f904(x103113,a893),x103112),x103111),f6(x103113,x103112)),x103114)),f317(f317(f8(f904(x103113,a893),f904(x103113,a893),x103111),f252(x103113)),f317(f317(f8(f904(x103113,a893),f904(x103113,a893),x103111),f317(f18(x103113,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103113),a315),f317(f317(f7(x103113,f904(x103113,a893),a893),f319(x103113)),x103115)))),x103116)))),x103117),f317(f317(f6(x103113,x103112),f317(f317(f18(x103113,f904(x103111,a893),x103112),f317(f317(f8(f904(x103111,x103112),f904(f904(x103111,a893),x103112),x103113),f6(x103111,x103112)),f317(f7(x103111,x103113,x103112),x103114))),f317(f317(f8(f904(x103111,a893),f904(x103111,a893),x103113),f252(x103111)),f317(f317(f8(f904(x103111,a893),f904(x103111,a893),x103113),f317(f18(x103111,a893,a893),f317(f317(f8(a893,f904(a893,a893),x103111),a315),f317(f317(f7(x103111,f904(x103111,a893),a893),f319(x103111)),x103117)))),f317(f7(x103111,x103113,a893),x103116))))),x103115))
% 92.29/92.11 [10262]~P21(x102628,x102627,x102626,x102625,x102621)+~E(f317(x102622,f838(x102624,x102622,x102623,x102621,x102625,x102626,x102627)),f317(x102624,f838(x102624,x102622,x102623,x102621,x102625,x102626,x102627)))+E(f317(f317(x102621,x102622),x102623),f317(f317(x102621,x102624),x102623))+~P1(f317(f29(x102627),x102623))
% 92.29/92.11 [9795]~P22(x97957,x97956,x97951,x97958,x97952,x97954)+E(f317(f317(x97951,f317(x97952,x97953)),f317(x97954,x97955)),f317(x97954,x97955))+~P1(f317(f29(x97956),x97955))+~P1(f317(f317(f319(x97956),x97953),x97955))
% 92.29/92.11 [9799]~P12(x97996,x97991,x97992,x97998,x97993,x97994)+~P8(x97996,x97997,x97998)+P11(x97991,x97992,x97993,f317(x97994,x97995))+~P1(f317(f317(f319(x97996),x97995),x97997))
% 92.29/92.11 [10284]~P21(x102848,x102845,x102847,x102846,x102841)+E(f317(f317(x102841,x102842),x102843),f317(f317(x102841,x102844),x102843))+~P1(f317(f29(x102845),x102843))+P1(f317(f317(f319(x102845),f838(x102842,x102844,x102843,x102841,x102846,x102847,x102845)),x102843))
% 92.29/92.11 [10361]~P1(f317(f317(x103611,x103616),x103615))+P1(f317(f317(x103611,f825(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)),f828(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)))+P1(f317(f317(x103611,x103612),x103613))+~P1(f317(f317(f319(f903(f903(x103618,x103617),f903(x103618,x103617))),f317(f317(f242(f903(x103618,x103617),f903(x103618,x103617)),f317(f317(f242(x103618,x103617),x103612),x103613)),f317(f317(f242(x103618,x103617),x103616),x103615))),f297(f903(x103618,x103617),x103614)))
% 92.29/92.11 [10362]~P1(f317(f317(x103621,x103626),x103625))+P1(f317(f317(x103621,f815(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)),f818(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)))+P1(f317(f317(x103621,x103622),x103623))+~P1(f317(f317(f319(f903(f903(x103628,x103627),f903(x103628,x103627))),f317(f317(f242(f903(x103628,x103627),f903(x103628,x103627)),f317(f317(f242(x103628,x103627),x103626),x103625)),f317(f317(f242(x103628,x103627),x103622),x103623))),f297(f903(x103628,x103627),x103624)))
% 92.29/92.11 [10372]~P1(f317(f317(x103721,f826(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)),f827(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)))+P1(f317(f317(x103721,x103722),x103723))+~P1(f317(f317(x103721,x103724),x103725))+~P1(f317(f317(f319(f903(f903(x103728,x103727),f903(x103728,x103727))),f317(f317(f242(f903(x103728,x103727),f903(x103728,x103727)),f317(f317(f242(x103728,x103727),x103722),x103723)),f317(f317(f242(x103728,x103727),x103724),x103725))),f297(f903(x103728,x103727),x103726)))
% 92.29/92.11 [10373]~P1(f317(f317(x103731,f819(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)),f820(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)))+P1(f317(f317(x103731,x103732),x103733))+~P1(f317(f317(x103731,x103734),x103735))+~P1(f317(f317(f319(f903(f903(x103738,x103737),f903(x103738,x103737))),f317(f317(f242(f903(x103738,x103737),f903(x103738,x103737)),f317(f317(f242(x103738,x103737),x103734),x103735)),f317(f317(f242(x103738,x103737),x103732),x103733))),f297(f903(x103738,x103737),x103736)))
% 92.29/92.11 [10386]~P1(f317(f317(x103861,x103866),x103867))+P1(f317(f317(x103861,x103862),x103863))+P1(f317(f317(f319(f903(f903(x103864,x103865),f903(x103864,x103865))),f317(f317(f242(f903(x103864,x103865),f903(x103864,x103865)),f317(f317(f242(x103864,x103865),x103866),x103867)),f317(f317(f242(x103864,x103865),f815(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)),f818(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)))),f297(f903(x103864,x103865),x103868)))+~P1(f317(f317(f319(f903(f903(x103864,x103865),f903(x103864,x103865))),f317(f317(f242(f903(x103864,x103865),f903(x103864,x103865)),f317(f317(f242(x103864,x103865),x103866),x103867)),f317(f317(f242(x103864,x103865),x103862),x103863))),f297(f903(x103864,x103865),x103868)))
% 92.29/92.11 [10388]~P1(f317(f317(x103881,x103888),x103887))+P1(f317(f317(x103881,x103882),x103883))+P1(f317(f317(f319(f903(f903(x103884,x103885),f903(x103884,x103885))),f317(f317(f242(f903(x103884,x103885),f903(x103884,x103885)),f317(f317(f242(x103884,x103885),f825(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)),f828(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884))),f317(f317(f242(x103884,x103885),x103888),x103887))),f297(f903(x103884,x103885),x103886)))+~P1(f317(f317(f319(f903(f903(x103884,x103885),f903(x103884,x103885))),f317(f317(f242(f903(x103884,x103885),f903(x103884,x103885)),f317(f317(f242(x103884,x103885),x103882),x103883)),f317(f317(f242(x103884,x103885),x103888),x103887))),f297(f903(x103884,x103885),x103886)))
% 92.29/92.11 [9405]~P19(x94057,x94051,x94058,x94053)+~P1(f317(f29(x94057),x94055))+~P1(f317(f29(x94057),x94054))+E(f317(f67(x94051,x94051,x94052,f317(x94053,x94054)),f317(f67(x94051,x94051,x94052,f317(x94053,x94055)),x94056)),f317(f67(x94051,x94051,x94052,f317(x94053,x94055)),f317(f67(x94051,x94051,x94052,f317(x94053,x94054)),x94056)))
% 92.29/92.11 [9414]~P33(x94141,x94142,x94143,x94144,x94147)+P33(x94141,x94142,x94143,f317(f317(f149(x94141,x94144),x94145),x94146),f317(f317(f149(x94142,x94147),x94145),x94148))+~P1(f317(f317(x94143,x94146),x94148))+~P1(f317(f317(f225(a897),x94145),f317(f179(f898(x94141)),x94144)))
% 92.29/92.11 [9415]~P33(x94151,x94152,x94153,x94154,x94157)+P33(x94151,x94152,x94153,f317(f317(f149(x94151,x94154),x94155),x94156),f317(f317(f149(x94152,x94157),x94155),x94158))+~P1(f317(f317(x94153,x94156),x94158))+~P1(f317(f317(f225(a897),x94155),f317(f179(f898(x94152)),x94157)))
% 92.29/92.11 [9494]~P24(x94942,x94942,x94945,x94946)+~P21(x94943,x94942,x94947,x94948,x94941)+~P1(f317(f29(x94942),x94946))+E(f317(f317(x94941,f317(f67(x94942,x94943,x94942,x94944),x94945)),x94946),f317(f317(x94941,x94944),f317(f300(x94942,x94942,x94945),x94946)))
% 92.29/92.11 [9735]~P25(x97351,x97353,x97355,x97356,x97358)+~P25(x97353,x97352,x97354,x97358,x97357)+P25(x97351,x97352,f317(f67(x97353,x97352,x97351,x97354),x97355),x97356,x97357)+~P1(f317(f317(f224(f904(x97353,a893)),f317(f300(x97351,x97353,x97355),x97356)),x97358))
% 92.29/92.11 [9760]P25(x97601,x97602,x97603,x97604,x97605)+~P25(x97602,x97606,x97607,x97605,x97608)+~P25(x97601,x97606,f317(f67(x97602,x97606,x97601,x97607),x97603),x97604,x97608)+~P1(f317(f317(f224(f904(x97602,a893)),f317(f300(x97601,x97602,x97603),x97604)),x97605))
% 92.29/92.11 [9797]~P23(x97977,x97972,x97975,x97978,x97976,x97971)+~P1(f317(f29(x97972),x97974))+E(f317(x97971,f317(f317(f299(x97972),x97973),x97974)),f317(f317(x97975,f317(x97976,x97973)),f317(x97971,x97974)))+P1(f317(f317(f319(x97972),x97973),x97974))
% 92.29/92.11 [9808]~P22(x98086,x98085,x98081,x98087,x98088,x98082)+E(f317(f317(x98081,f317(x98082,x98083)),f317(x98082,x98084)),f317(x98082,x98084))+~P1(f317(f29(x98085),x98084))+~P1(f317(f317(f224(f904(x98085,a893)),x98083),x98084))
% 92.29/92.11 [9392]P1(f317(f317(f319(f903(f898(x93921),f898(x93921))),f317(f317(f242(f898(x93921),f898(x93921)),x93922),x93923)),f147(x93921,x93924)))+~E(x93923,f317(f317(f124(x93921),x93925),f317(f317(f141(x93921),x93926),x93927)))+~E(x93922,f317(f317(f124(x93921),x93925),f317(f317(f141(x93921),x93928),x93927)))+~P1(f317(f317(f319(f903(x93921,x93921)),f317(f317(f242(x93921,x93921),x93928),x93926)),x93924))
% 92.29/92.11 [9802]~P22(x98026,x98022,x98025,x98027,x98028,x98021)+~P1(f317(f29(x98022),x98024))+~P1(f317(f29(x98022),x98023))+E(f317(x98021,f317(f317(f91(f904(x98022,a893)),x98023),x98024)),f317(f317(x98025,f317(x98021,x98023)),f317(x98021,x98024)))
% 92.29/92.11 [10351]~P24(x103514,x103512,x103515,x103518)+E(f317(f317(f36(x103511,f904(x103512,a893)),x103513),f317(f317(f8(f904(x103514,a893),f904(x103512,a893),x103511),f300(x103514,x103512,x103515)),x103516)),f317(f300(x103514,x103512,x103515),f317(f317(f36(x103511,f904(x103514,a893)),x103513),x103516)))+~P1(f317(f317(f319(x103511),x103517),x103513))+P1(f317(f317(f319(x103511),f475(x103517,x103516,x103513,x103511,x103518,x103515,x103512,x103514)),x103513))
% 92.29/92.11 [10377]~P24(x103774,x103772,x103775,x103777)+E(f317(f317(f36(x103771,f904(x103772,a893)),x103773),f317(f317(f8(f904(x103774,a893),f904(x103772,a893),x103771),f300(x103774,x103772,x103775)),x103776)),f317(f300(x103774,x103772,x103775),f317(f317(f36(x103771,f904(x103774,a893)),x103773),x103776)))+~P1(f317(f317(f319(x103771),x103778),x103773))+~P1(f317(f317(f224(f904(x103774,a893)),f317(x103776,f475(x103778,x103776,x103773,x103771,x103777,x103775,x103772,x103774))),x103777))
% 92.29/92.11 [10389]~P1(f317(f317(x103891,x103898),x103897))+P1(f317(f317(x103891,x103892),x103893))+~P1(f317(f317(f319(f903(f903(x103894,x103895),f903(x103894,x103895))),f317(f317(f242(f903(x103894,x103895),f903(x103894,x103895)),f317(f317(f242(x103894,x103895),x103892),x103893)),f317(f317(f242(x103894,x103895),x103898),x103897))),f297(f903(x103894,x103895),x103896)))+P1(f317(f317(f319(f903(f903(x103894,x103895),f903(x103894,x103895))),f317(f317(f242(f903(x103894,x103895),f903(x103894,x103895)),f317(f317(f242(x103894,x103895),f826(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f827(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894))),f317(f317(f242(x103894,x103895),f825(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f828(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)))),x103896))
% 92.29/92.11 [10390]~P1(f317(f317(x103901,x103908),x103907))+P1(f317(f317(x103901,x103902),x103903))+~P1(f317(f317(f319(f903(f903(x103904,x103905),f903(x103904,x103905))),f317(f317(f242(f903(x103904,x103905),f903(x103904,x103905)),f317(f317(f242(x103904,x103905),x103908),x103907)),f317(f317(f242(x103904,x103905),x103902),x103903))),f297(f903(x103904,x103905),x103906)))+P1(f317(f317(f319(f903(f903(x103904,x103905),f903(x103904,x103905))),f317(f317(f242(f903(x103904,x103905),f903(x103904,x103905)),f317(f317(f242(x103904,x103905),f815(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f818(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904))),f317(f317(f242(x103904,x103905),f819(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f820(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)))),x103906))
% 92.29/92.11 [9870]~P23(x98707,x98705,x98701,x98708,x98702,x98704)+~P1(f317(f29(x98705),x98706))+~P1(f317(f317(f319(x98705),x98703),x98706))+E(f317(f317(x98701,f317(x98702,x98703)),f317(x98704,f317(f317(f23(f904(x98705,a893)),x98706),f317(f317(f299(x98705),x98703),f178(f904(x98705,a893)))))),f317(x98704,x98706))
% 92.29/92.11 [9878]~P23(x98786,x98783,x98781,x98787,x98788,x98782)+~P1(f317(f29(x98783),x98785))+~P1(f317(f29(x98783),x98784))+E(f317(f317(x98781,f317(x98782,f317(f317(f91(f904(x98783,a893)),x98784),x98785))),f317(x98782,f317(f317(f92(f904(x98783,a893)),x98784),x98785))),f317(f317(x98781,f317(x98782,x98784)),f317(x98782,x98785)))
% 92.29/92.11 [9960]P41(x99601,x99602,x99603,x99604,x99605,f317(f317(x99603,x99606),x99607))+~P41(x99601,x99602,x99603,x99604,f317(f317(f23(f904(x99601,a893)),x99605),f317(f317(f299(x99601),x99608),f178(f904(x99601,a893)))),x99609)+~E(f317(f317(x99603,x99606),x99607),f317(f317(x99603,x99608),x99609))+~P1(f317(f317(f319(x99601),x99608),x99605))
% 92.29/92.11 [9902]~P12(x99026,x99027,x99028,x99029,x990210,x99021)+E(f317(f317(x99021,x99022),x99023),f317(f317(x99021,x99024),x99025))+~P1(f317(f317(f319(f903(x99027,x99027)),f317(f317(f242(x99027,x99027),x99023),x99025)),x990210))+~P1(f317(f317(f319(f903(x99026,x99026)),f317(f317(f242(x99026,x99026),x99022),x99024)),x99029))
% 92.29/92.11 [7009]E(x70091,x70092)+~P1(f317(f317(f224(a1),f2(a1)),x70092))+~P1(f317(f317(f224(a1),f2(a1)),x70091))+~P1(f317(f317(f277(a1),x70092),x70091))+~P1(f317(f317(f277(a1),x70091),x70092))
% 92.29/92.11 [9659]E(x96591,f2(a1))+E(x96592,f2(a1))+E(f317(f317(f80(a1,f903(a1,a1)),f317(f317(a207,x96592),x96591)),f317(f317(f18(a1,a1,f903(a1,a1)),f317(f317(f8(a1,f904(a1,f903(a1,a1)),a1),f242(a1,a1)),f317(f31(a1),x96592))),f317(f31(a1),x96591))),f205(x96592,x96591))+P1(f317(f317(f225(a1),x96591),f2(a1)))+~P1(f317(f305(f903(a1,a1),a211),f317(f317(f242(a1,a1),x96592),x96591)))
% 92.29/92.11 [9496]~P107(x94962)+E(x94961,f178(f904(x94962,a893)))+~P1(f317(f29(x94962),x94961))+P1(f317(f317(f319(x94962),f14(x94962,x94961)),x94961))+~P1(f317(f317(f319(x94962),f317(f317(f228(x94962),f870(x94961,x94962)),f874(x94961,x94962))),f317(f317(f299(x94962),f870(x94961,x94962)),f317(f317(f299(x94962),f874(x94961,x94962)),f178(f904(x94962,a893))))))
% 92.29/92.11 [9497]~P107(x94972)+E(x94971,f178(f904(x94972,a893)))+~P1(f317(f29(x94972),x94971))+P1(f317(f317(f319(x94972),f15(x94972,x94971)),x94971))+~P1(f317(f317(f319(x94972),f317(f317(f223(x94972),f330(x94971,x94972)),f332(x94971,x94972))),f317(f317(f299(x94972),f330(x94971,x94972)),f317(f317(f299(x94972),f332(x94971,x94972)),f178(f904(x94972,a893))))))
% 92.29/92.11 [9498]~P99(x94982)+E(x94981,f178(f904(x94982,a893)))+~P1(f317(f29(x94982),x94981))+P1(f317(f317(f319(x94982),f13(x94982,x94981)),x94981))+~P1(f317(f317(f319(x94982),f317(f317(f91(x94982),f344(x94981,x94982)),f345(x94981,x94982))),f317(f317(f299(x94982),f344(x94981,x94982)),f317(f317(f299(x94982),f345(x94981,x94982)),f178(f904(x94982,a893))))))
% 92.29/92.11 [9499]~P99(x94992)+E(x94991,f178(f904(x94992,a893)))+~P1(f317(f29(x94992),x94991))+P1(f317(f317(f319(x94992),f10(x94992,x94991)),x94991))+~P1(f317(f317(f319(x94992),f317(f317(f92(x94992),f439(x94991,x94992)),f449(x94991,x94992))),f317(f317(f299(x94992),f439(x94991,x94992)),f317(f317(f299(x94992),f449(x94991,x94992)),f178(f904(x94992,a893))))))
% 92.29/92.11 [9530]~P73(x95302)+E(x95301,f178(f904(x95302,a893)))+~P1(f317(f29(x95302),x95301))+P1(f317(f317(f319(x95302),f317(f58(x95302,f75(x95302)),x95301)),x95301))+~P1(f317(f317(f319(x95302),f317(f317(f75(x95302),f712(x95301,x95302)),f723(x95301,x95302))),f317(f317(f299(x95302),f712(x95301,x95302)),f317(f317(f299(x95302),f723(x95301,x95302)),f178(f904(x95302,a893))))))
% 92.29/92.11 [9535]~P107(x95352)+E(x95351,f178(f904(x95352,a893)))+~P1(f317(f29(x95352),x95351))+P1(f317(f317(f319(x95352),f11(x95352,f228(x95352),x95351)),x95351))+~P1(f317(f317(f319(x95352),f317(f317(f228(x95352),f871(x95351,x95352)),f872(x95351,x95352))),f317(f317(f299(x95352),f871(x95351,x95352)),f317(f317(f299(x95352),f872(x95351,x95352)),f178(f904(x95352,a893))))))
% 92.29/92.11 [9536]~P107(x95362)+E(x95361,f178(f904(x95362,a893)))+~P1(f317(f29(x95362),x95361))+P1(f317(f317(f319(x95362),f12(x95362,f223(x95362),x95361)),x95361))+~P1(f317(f317(f319(x95362),f317(f317(f223(x95362),f891(x95361,x95362)),f331(x95361,x95362))),f317(f317(f299(x95362),f891(x95361,x95362)),f317(f317(f299(x95362),f331(x95361,x95362)),f178(f904(x95362,a893))))))
% 92.29/92.11 [6631]~P88(x66312)+E(x66311,f2(x66312))+~E(f317(f317(f74(x66312),x66313),x66311),f2(x66312))+~P1(f317(f317(f224(x66312),f2(x66312)),x66313))+~P1(f317(f317(f224(x66312),f2(x66312)),x66311))
% 92.29/92.11 [6632]~P88(x66322)+E(x66321,f2(x66322))+~E(f317(f317(f74(x66322),x66321),x66323),f2(x66322))+~P1(f317(f317(f224(x66322),f2(x66322)),x66323))+~P1(f317(f317(f224(x66322),f2(x66322)),x66321))
% 92.29/92.11 [6833]~P1(f317(f317(f277(a897),x68332),x68331))+~P1(f317(f317(f277(a897),x68331),x68333))+P1(f317(f317(f277(a897),x68332),x68333))+P1(f317(f317(f277(a897),x68331),x68332))+P1(f317(f317(f277(a897),x68333),x68331))
% 92.29/92.11 [7008]~P1(f317(f317(f277(a897),x70081),x70083))+~P1(f317(f317(f277(a897),x70083),x70082))+~P1(f317(f317(f277(a897),x70082),x70081))+P1(f317(f317(f277(a897),x70081),x70082))+P1(f317(f317(f277(a897),x70083),x70081))
% 92.29/92.11 [7178]~P107(x71782)+~P13(x71782,x71781)+E(x71781,f103(x71782))+~P1(f317(f317(f319(x71782),x71783),f317(f162(x71782),f685(x71781,x71782))))+P1(f317(f317(f224(x71782),f705(x71781,x71782)),x71783))
% 92.29/92.11 [7347]~P107(x73471)+E(f14(x73471,x73472),x73473)+~P1(f317(f29(x73471),x73472))+~P1(f317(f317(f224(x73471),x73473),f576(x73473,x73472,x73471)))+~P1(f317(f317(f319(x73471),x73473),x73472))
% 92.29/92.11 [7380]~P107(x73801)+~P13(x73801,x73802)+~P13(x73801,x73803)+P13(x73801,f317(f317(f124(x73801),x73802),x73803))+P1(f317(f317(f319(x73801),f691(x73803,x73802,x73801)),f317(f162(x73801),x73802)))
% 92.29/92.11 [7381]~P107(x73811)+~P13(x73811,x73812)+~P13(x73811,x73813)+P13(x73811,f317(f317(f124(x73811),x73812),x73813))+P1(f317(f317(f319(x73811),f692(x73813,x73812,x73811)),f317(f162(x73811),x73813)))
% 92.29/92.11 [7444]~P107(x74441)+E(f14(x74441,x74442),x74443)+~P1(f317(f29(x74441),x74442))+P1(f317(f317(f319(x74441),f576(x74443,x74442,x74441)),x74442))+~P1(f317(f317(f319(x74441),x74443),x74442))
% 92.29/92.11 [7445]~P107(x74451)+E(f15(x74451,x74452),x74453)+~P1(f317(f29(x74451),x74452))+P1(f317(f317(f319(x74451),f577(x74453,x74452,x74451)),x74452))+~P1(f317(f317(f319(x74451),x74453),x74452))
% 92.29/92.11 [8018]~P107(x80181)+E(f15(x80181,x80182),x80183)+~P1(f317(f29(x80181),x80182))+~P1(f317(f317(f319(x80181),x80183),x80182))+~P1(f317(f317(f224(x80181),f577(x80183,x80182,x80181)),x80183))
% 92.29/92.11 [8336]~P107(x83361)+~P13(x83361,x83362)+~P13(x83361,x83363)+P13(x83361,f317(f317(f124(x83361),x83362),x83363))+~P1(f317(f317(f224(x83361),f691(x83363,x83362,x83361)),f692(x83363,x83362,x83361)))
% 92.29/92.11 [9129]~P107(x91292)+E(x91291,f178(f904(x91292,a893)))+~E(f317(f317(f228(x91292),f317(x91293,f343(x91291,x91293,x91292))),f317(x91293,f346(x91291,x91293,x91292))),f317(x91293,f317(f317(f228(x91292),f343(x91291,x91293,x91292)),f346(x91291,x91293,x91292))))+E(f14(x91292,f317(f300(x91292,x91292,x91293),x91291)),f317(x91293,f14(x91292,x91291)))+~P1(f317(f29(x91292),x91291))
% 92.29/92.11 [9130]~P107(x91302)+E(x91301,f178(f904(x91302,a893)))+~E(f317(f317(f223(x91302),f317(x91303,f341(x91301,x91303,x91302))),f317(x91303,f342(x91301,x91303,x91302))),f317(x91303,f317(f317(f223(x91302),f341(x91301,x91303,x91302)),f342(x91301,x91303,x91302))))+E(f15(x91302,f317(f300(x91302,x91302,x91303),x91301)),f317(x91303,f15(x91302,x91301)))+~P1(f317(f29(x91302),x91301))
% 92.29/92.11 [9131]~P99(x91312)+E(x91311,f178(f904(x91312,a893)))+~E(f317(f317(f91(x91312),f317(x91313,f348(x91311,x91313,x91312))),f317(x91313,f349(x91311,x91313,x91312))),f317(x91313,f317(f317(f91(x91312),f348(x91311,x91313,x91312)),f349(x91311,x91313,x91312))))+E(f13(x91312,f317(f300(x91312,x91312,x91313),x91311)),f317(x91313,f13(x91312,x91311)))+~P1(f317(f29(x91312),x91311))
% 92.29/92.11 [9132]~P99(x91322)+E(x91321,f178(f904(x91322,a893)))+~E(f317(f317(f92(x91322),f317(x91323,f438(x91321,x91323,x91322))),f317(x91323,f450(x91321,x91323,x91322))),f317(x91323,f317(f317(f92(x91322),f438(x91321,x91323,x91322)),f450(x91321,x91323,x91322))))+E(f10(x91322,f317(f300(x91322,x91322,x91323),x91321)),f317(x91323,f10(x91322,x91321)))+~P1(f317(f29(x91322),x91321))
% 92.29/92.11 [9201]~P107(x92012)+E(x92011,f178(f904(x92012,a893)))+~E(f317(f317(f228(x92012),f317(x92013,f328(x92011,x92013,x92012))),f317(x92013,f334(x92011,x92013,x92012))),f317(x92013,f317(f317(f228(x92012),f328(x92011,x92013,x92012)),f334(x92011,x92013,x92012))))+E(f11(x92012,f228(x92012),f317(f300(x92012,x92012,x92013),x92011)),f317(x92013,f11(x92012,f228(x92012),x92011)))+~P1(f317(f29(x92012),x92011))
% 92.29/92.11 [9202]~P107(x92022)+E(x92021,f178(f904(x92022,a893)))+~E(f317(f317(f223(x92022),f317(x92023,f329(x92021,x92023,x92022))),f317(x92023,f333(x92021,x92023,x92022))),f317(x92023,f317(f317(f223(x92022),f329(x92021,x92023,x92022)),f333(x92021,x92023,x92022))))+E(f12(x92022,f223(x92022),f317(f300(x92022,x92022,x92023),x92021)),f317(x92023,f12(x92022,f223(x92022),x92021)))+~P1(f317(f29(x92022),x92021))
% 92.29/92.11 [6252]~P107(x62522)+E(x62521,f178(f904(x62522,a893)))+~P1(f317(f29(x62522),x62521))+E(f14(x62522,f317(f317(f299(x62522),x62523),x62521)),f317(f317(f228(x62522),x62523),f14(x62522,x62521)))+P1(f317(f317(f319(x62522),x62523),x62521))
% 92.29/92.11 [6253]~P107(x62532)+E(x62531,f178(f904(x62532,a893)))+~P1(f317(f29(x62532),x62531))+E(f15(x62532,f317(f317(f299(x62532),x62533),x62531)),f317(f317(f223(x62532),x62533),f15(x62532,x62531)))+P1(f317(f317(f319(x62532),x62533),x62531))
% 92.29/92.11 [6254]~P99(x62542)+E(x62541,f178(f904(x62542,a893)))+~P1(f317(f29(x62542),x62541))+E(f13(x62542,f317(f317(f299(x62542),x62543),x62541)),f317(f317(f91(x62542),x62543),f13(x62542,x62541)))+P1(f317(f317(f319(x62542),x62543),x62541))
% 92.29/92.11 [6255]~P99(x62552)+E(x62551,f178(f904(x62552,a893)))+~P1(f317(f29(x62552),x62551))+E(f10(x62552,f317(f317(f299(x62552),x62553),x62551)),f317(f317(f92(x62552),x62553),f10(x62552,x62551)))+P1(f317(f317(f319(x62552),x62553),x62551))
% 92.29/92.11 [6648]~P73(x66482)+E(x66481,f178(f904(x66482,a893)))+~P1(f317(f29(x66482),x66481))+E(f317(f58(x66482,f75(x66482)),f317(f317(f299(x66482),x66483),x66481)),f317(f317(f75(x66482),x66483),f317(f58(x66482,f75(x66482)),x66481)))+P1(f317(f317(f319(x66482),x66483),x66481))
% 92.29/92.11 [6737]~P107(x67372)+E(x67371,f178(f904(x67372,a893)))+~P1(f317(f29(x67372),x67371))+E(f11(x67372,f228(x67372),f317(f317(f299(x67372),x67373),x67371)),f317(f317(f228(x67372),x67373),f11(x67372,f228(x67372),x67371)))+P1(f317(f317(f319(x67372),x67373),x67371))
% 92.29/92.11 [6738]~P107(x67382)+E(x67381,f178(f904(x67382,a893)))+~P1(f317(f29(x67382),x67381))+E(f12(x67382,f223(x67382),f317(f317(f299(x67382),x67383),x67381)),f317(f317(f223(x67382),x67383),f12(x67382,f223(x67382),x67381)))+P1(f317(f317(f319(x67382),x67383),x67381))
% 92.29/92.11 [7184]~P107(x71842)+E(f317(f317(f228(x71842),f14(x71842,x71841)),f14(x71842,x71843)),f14(x71842,x71843))+E(x71841,f178(f904(x71842,a893)))+~P1(f317(f29(x71842),x71843))+~P1(f317(f317(f224(f904(x71842,a893)),x71841),x71843))
% 92.29/92.11 [7185]~P107(x71852)+E(f317(f317(f223(x71852),f15(x71852,x71851)),f15(x71852,x71853)),f15(x71852,x71853))+E(x71851,f178(f904(x71852,a893)))+~P1(f317(f29(x71852),x71853))+~P1(f317(f317(f224(f904(x71852,a893)),x71851),x71853))
% 92.29/92.11 [7186]~P99(x71862)+E(f317(f317(f91(x71862),f13(x71862,x71861)),f13(x71862,x71863)),f13(x71862,x71863))+E(x71861,f178(f904(x71862,a893)))+~P1(f317(f29(x71862),x71863))+~P1(f317(f317(f224(f904(x71862,a893)),x71861),x71863))
% 92.29/92.11 [7187]~P99(x71872)+E(f317(f317(f92(x71872),f10(x71872,x71871)),f10(x71872,x71873)),f10(x71872,x71873))+E(x71871,f178(f904(x71872,a893)))+~P1(f317(f29(x71872),x71873))+~P1(f317(f317(f224(f904(x71872,a893)),x71871),x71873))
% 92.29/92.11 [7492]~P107(x74922)+E(x74921,f178(f904(x74922,a893)))+~P1(f317(f29(x74922),x74923))+P1(f317(f317(f224(x74922),f14(x74922,x74923)),f14(x74922,x74921)))+~P1(f317(f317(f224(f904(x74922,a893)),x74921),x74923))
% 92.29/92.11 [7493]~P107(x74932)+E(x74931,f178(f904(x74932,a893)))+~P1(f317(f29(x74932),x74933))+P1(f317(f317(f224(x74932),f15(x74932,x74931)),f15(x74932,x74933)))+~P1(f317(f317(f224(f904(x74932,a893)),x74931),x74933))
% 92.29/92.11 [7547]~P107(x75471)+E(f14(x75471,x75472),x75473)+~P1(f317(f29(x75471),x75472))+~E(f317(f317(f23(f904(x75471,a893)),x75472),f317(f317(f299(x75471),x75473),f178(f904(x75471,a893)))),f178(f904(x75471,a893)))+~P1(f317(f317(f319(x75471),x75473),x75472))
% 92.29/92.11 [7548]~P107(x75481)+E(f15(x75481,x75482),x75483)+~P1(f317(f29(x75481),x75482))+~E(f317(f317(f23(f904(x75481,a893)),x75482),f317(f317(f299(x75481),x75483),f178(f904(x75481,a893)))),f178(f904(x75481,a893)))+~P1(f317(f317(f319(x75481),x75483),x75482))
% 92.29/92.11 [7549]~P99(x75491)+E(f13(x75491,x75492),x75493)+~P1(f317(f29(x75491),x75492))+~E(f317(f317(f23(f904(x75491,a893)),x75492),f317(f317(f299(x75491),x75493),f178(f904(x75491,a893)))),f178(f904(x75491,a893)))+~P1(f317(f317(f319(x75491),x75493),x75492))
% 92.29/92.11 [7550]~P99(x75501)+E(f10(x75501,x75502),x75503)+~P1(f317(f29(x75501),x75502))+~E(f317(f317(f23(f904(x75501,a893)),x75502),f317(f317(f299(x75501),x75503),f178(f904(x75501,a893)))),f178(f904(x75501,a893)))+~P1(f317(f317(f319(x75501),x75503),x75502))
% 92.29/92.11 [7646]~P107(x76461)+E(f11(x76461,f228(x76461),x76462),x76463)+~P1(f317(f29(x76461),x76462))+~E(f317(f317(f23(f904(x76461,a893)),x76462),f317(f317(f299(x76461),x76463),f178(f904(x76461,a893)))),f178(f904(x76461,a893)))+~P1(f317(f317(f319(x76461),x76463),x76462))
% 92.29/92.11 [7647]~P107(x76471)+E(f12(x76471,f223(x76471),x76472),x76473)+~P1(f317(f29(x76471),x76472))+~E(f317(f317(f23(f904(x76471,a893)),x76472),f317(f317(f299(x76471),x76473),f178(f904(x76471,a893)))),f178(f904(x76471,a893)))+~P1(f317(f317(f319(x76471),x76473),x76472))
% 92.29/92.11 [7682]~P107(x76822)+E(x76821,f178(f904(x76822,a893)))+~P1(f317(f29(x76822),x76821))+~P1(f317(f317(f224(x76822),x76823),f866(x76823,x76821,x76822)))+P1(f317(f317(f224(x76822),x76823),f317(f58(x76822,f228(x76822)),x76821)))
% 92.29/92.11 [7683]~P104(x76832)+E(x76831,f178(f904(x76832,a893)))+~P1(f317(f29(x76832),x76831))+~P1(f317(f317(f224(x76832),x76833),f436(x76833,x76831,x76832)))+P1(f317(f317(f224(x76832),x76833),f317(f58(x76832,f92(x76832)),x76831)))
% 92.29/92.11 [7684]~P107(x76842)+E(x76841,f178(f904(x76842,a893)))+~P1(f317(f29(x76842),x76841))+~P1(f317(f317(f225(x76842),x76843),f867(x76843,x76841,x76842)))+P1(f317(f317(f225(x76842),x76843),f317(f58(x76842,f228(x76842)),x76841)))
% 92.29/92.11 [7771]~P107(x77712)+E(x77711,f178(f904(x77712,a893)))+~P1(f317(f29(x77712),x77711))+P1(f317(f317(f319(x77712),f867(x77713,x77711,x77712)),x77711))+P1(f317(f317(f225(x77712),x77713),f317(f58(x77712,f228(x77712)),x77711)))
% 92.29/92.11 [7772]~P107(x77722)+E(x77721,f178(f904(x77722,a893)))+~P1(f317(f29(x77722),x77721))+P1(f317(f317(f319(x77722),f866(x77723,x77721,x77722)),x77721))+P1(f317(f317(f224(x77722),x77723),f317(f58(x77722,f228(x77722)),x77721)))
% 92.29/92.11 [7773]~P104(x77732)+E(x77731,f178(f904(x77732,a893)))+~P1(f317(f29(x77732),x77731))+P1(f317(f317(f319(x77732),f436(x77733,x77731,x77732)),x77731))+P1(f317(f317(f224(x77732),x77733),f317(f58(x77732,f92(x77732)),x77731)))
% 92.29/92.11 [7895]~P107(x78952)+E(x78951,f178(f904(x78952,a893)))+E(f317(f317(f228(x78952),f11(x78952,f228(x78952),x78951)),f11(x78952,f228(x78952),x78953)),f11(x78952,f228(x78952),x78953))+~P1(f317(f29(x78952),x78953))+~P1(f317(f317(f224(f904(x78952,a893)),x78951),x78953))
% 92.29/92.11 [7896]~P107(x78962)+E(x78961,f178(f904(x78962,a893)))+E(f317(f317(f223(x78962),f12(x78962,f223(x78962),x78961)),f12(x78962,f223(x78962),x78963)),f12(x78962,f223(x78962),x78963))+~P1(f317(f29(x78962),x78963))+~P1(f317(f317(f224(f904(x78962,a893)),x78961),x78963))
% 92.29/92.11 [8095]~E(f490(x80951,x80953,x80952),f491(x80951,x80953,x80952))+~E(f317(f30(x80952),f492(x80951,x80953,x80952)),x80951)+E(f317(f317(f75(a897),x80951),f317(f30(f904(x80952,a893)),x80953)),f317(f30(x80952),f32(f904(x80952,a893),x80953)))+~P1(f317(f29(x80952),f32(f904(x80952,a893),x80953)))+~P1(f317(f29(f904(x80952,a893)),x80953))
% 92.29/92.11 [8276]~P107(x82762)+E(x82761,f178(f904(x82762,a893)))+~P1(f317(f29(x82762),x82763))+P1(f317(f317(f224(x82762),f317(f58(x82762,f228(x82762)),x82763)),f317(f58(x82762,f228(x82762)),x82761)))+~P1(f317(f317(f224(f904(x82762,a893)),x82761),x82763))
% 92.29/92.11 [8576]~E(f490(x85761,x85763,x85762),f491(x85761,x85763,x85762))+E(f317(f317(f75(a897),x85761),f317(f30(f904(x85762,a893)),x85763)),f317(f30(x85762),f32(f904(x85762,a893),x85763)))+P1(f317(f317(f319(f904(x85762,a893)),f492(x85761,x85763,x85762)),x85763))+~P1(f317(f29(x85762),f32(f904(x85762,a893),x85763)))+~P1(f317(f29(f904(x85762,a893)),x85763))
% 92.29/92.11 [8602]~E(f317(f30(x86022),f492(x86021,x86023,x86022)),x86021)+E(f317(f317(f75(a897),x86021),f317(f30(f904(x86022,a893)),x86023)),f317(f30(x86022),f32(f904(x86022,a893),x86023)))+P1(f317(f317(f319(f904(x86022,a893)),f491(x86021,x86023,x86022)),x86023))+~P1(f317(f29(x86022),f32(f904(x86022,a893),x86023)))+~P1(f317(f29(f904(x86022,a893)),x86023))
% 92.29/92.11 [8603]~E(f317(f30(x86032),f492(x86031,x86033,x86032)),x86031)+E(f317(f317(f75(a897),x86031),f317(f30(f904(x86032,a893)),x86033)),f317(f30(x86032),f32(f904(x86032,a893),x86033)))+P1(f317(f317(f319(f904(x86032,a893)),f490(x86031,x86033,x86032)),x86033))+~P1(f317(f29(x86032),f32(f904(x86032,a893),x86033)))+~P1(f317(f29(f904(x86032,a893)),x86033))
% 92.29/92.11 [8628]~E(f317(f30(x86282),f492(x86281,x86283,x86282)),x86281)+~E(f317(f317(f92(f904(x86282,a893)),f491(x86281,x86283,x86282)),f490(x86281,x86283,x86282)),f178(f904(x86282,a893)))+E(f317(f317(f75(a897),x86281),f317(f30(f904(x86282,a893)),x86283)),f317(f30(x86282),f32(f904(x86282,a893),x86283)))+~P1(f317(f29(f904(x86282,a893)),x86283))+~P1(f317(f29(x86282),f32(f904(x86282,a893),x86283)))
% 92.29/92.11 [8892]E(f317(f317(f75(a897),x88921),f317(f30(f904(x88922,a893)),x88923)),f317(f30(x88922),f32(f904(x88922,a893),x88923)))+P1(f317(f317(f319(f904(x88922,a893)),f492(x88921,x88923,x88922)),x88923))+P1(f317(f317(f319(f904(x88922,a893)),f491(x88921,x88923,x88922)),x88923))+~P1(f317(f29(f904(x88922,a893)),x88923))+~P1(f317(f29(x88922),f32(f904(x88922,a893),x88923)))
% 92.29/92.11 [8893]E(f317(f317(f75(a897),x88931),f317(f30(f904(x88932,a893)),x88933)),f317(f30(x88932),f32(f904(x88932,a893),x88933)))+P1(f317(f317(f319(f904(x88932,a893)),f492(x88931,x88933,x88932)),x88933))+P1(f317(f317(f319(f904(x88932,a893)),f490(x88931,x88933,x88932)),x88933))+~P1(f317(f29(f904(x88932,a893)),x88933))+~P1(f317(f29(x88932),f32(f904(x88932,a893),x88933)))
% 92.29/92.11 [8919]~E(f317(f317(f92(f904(x89192,a893)),f491(x89191,x89193,x89192)),f490(x89191,x89193,x89192)),f178(f904(x89192,a893)))+E(f317(f317(f75(a897),x89191),f317(f30(f904(x89192,a893)),x89193)),f317(f30(x89192),f32(f904(x89192,a893),x89193)))+~P1(f317(f29(f904(x89192,a893)),x89193))+P1(f317(f317(f319(f904(x89192,a893)),f492(x89191,x89193,x89192)),x89193))+~P1(f317(f29(x89192),f32(f904(x89192,a893),x89193)))
% 92.29/92.11 [9176]~P97(x91762)+E(x91761,f178(f904(x91762,a893)))+~E(f317(f317(f75(x91762),f317(x91763,f738(x91761,x91763,x91762))),f317(x91763,f748(x91761,x91763,x91762))),f317(x91763,f317(f317(f75(x91762),f738(x91761,x91763,x91762)),f748(x91761,x91763,x91762))))+~P1(f317(f29(x91762),x91761))+E(f317(f58(x91762,f75(x91762)),f317(f300(x91762,x91762,x91763),x91761)),f317(x91763,f317(f58(x91762,f75(x91762)),x91761)))
% 92.29/92.11 [10118]P1(f317(f317(x101181,x101182),x101183))+P1(f317(f317(f225(a1),f887(x101181,x101183,x101182)),f888(x101181,x101183,x101182)))+P1(f317(f317(f224(a1),f888(x101181,x101183,x101182)),f2(a1)))+P1(f317(f317(x101181,f887(x101181,x101183,x101182)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f888(x101181,x101183,x101182))))+~P1(f317(f305(f903(a1,a1),a54),f317(f317(f242(a1,a1),x101182),x101183)))
% 92.29/92.11 [10124]P1(f317(f317(x101241,x101242),x101243))+P1(f317(f317(f224(a1),f886(x101241,x101243,x101242)),f2(a1)))+P1(f317(f317(x101241,f885(x101241,x101243,x101242)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f886(x101241,x101243,x101242))))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f885(x101241,x101243,x101242)),f886(x101241,x101243,x101242))))+~P1(f317(f305(f903(a1,a1),a48),f317(f317(f242(a1,a1),x101242),x101243)))
% 92.29/92.11 [8067]~P126(x80671)+~P1(f317(f317(f224(x80671),x80672),f72(x80671)))+~P1(f317(f317(f224(x80671),f2(x80671)),x80672))+~P1(f317(f317(f224(x80671),f2(x80671)),x80673))+P1(f317(f317(f224(x80671),f317(f317(f75(x80671),x80672),x80673)),x80673))
% 92.29/92.11 [8068]~P126(x80681)+~P1(f317(f317(f224(x80681),x80683),f72(x80681)))+~P1(f317(f317(f224(x80681),f2(x80681)),x80683))+~P1(f317(f317(f224(x80681),f2(x80681)),x80682))+P1(f317(f317(f224(x80681),f317(f317(f75(x80681),x80682),x80683)),x80682))
% 92.29/92.11 [8422]~P107(x84222)+E(x84221,f178(f904(x84222,a893)))+~P1(f317(f29(x84222),x84221))+P1(f317(f317(f224(x84222),f869(x84223,x84221,x84222)),x84223))+~P1(f317(f317(f224(x84222),f317(f58(x84222,f228(x84222)),x84221)),x84223))
% 92.29/92.11 [8423]~P107(x84232)+E(x84231,f178(f904(x84232,a893)))+~P1(f317(f29(x84232),x84231))+P1(f317(f317(f319(x84232),f868(x84233,x84231,x84232)),x84231))+~P1(f317(f317(f225(x84232),f317(f58(x84232,f228(x84232)),x84231)),x84233))
% 92.29/92.11 [8424]~P107(x84242)+E(x84241,f178(f904(x84242,a893)))+~P1(f317(f29(x84242),x84241))+P1(f317(f317(f319(x84242),f869(x84243,x84241,x84242)),x84241))+~P1(f317(f317(f224(x84242),f317(f58(x84242,f228(x84242)),x84241)),x84243))
% 92.29/92.11 [8425]~P107(x84252)+E(x84251,f178(f904(x84252,a893)))+~P1(f317(f29(x84252),x84251))+P1(f317(f317(f225(x84252),f868(x84253,x84251,x84252)),x84253))+~P1(f317(f317(f225(x84252),f317(f58(x84252,f228(x84252)),x84251)),x84253))
% 92.29/92.11 [8511]~P1(f317(x85111,x85113))+P1(f317(x85111,f407(x85111,x85112)))+P1(f317(x85111,f406(x85111,x85112)))+~P1(f317(f317(f225(a1),f2(a1)),x85112))+P1(f317(x85111,f317(f317(f23(a1),f406(x85111,x85112)),f317(f317(f75(a1),f408(x85111,x85112)),x85112))))
% 92.29/92.11 [8729]~P1(f317(x87291,x87293))+P1(f317(x87291,f406(x87291,x87292)))+~P1(f317(f317(f225(a1),f2(a1)),x87292))+P1(f317(f317(f319(a1),f407(x87291,x87292)),f293(a1,f72(a1),x87292)))+P1(f317(x87291,f317(f317(f23(a1),f406(x87291,x87292)),f317(f317(f75(a1),f408(x87291,x87292)),x87292))))
% 92.29/92.11 [8941]~P1(f317(x89411,x89413))+~P1(f317(x89411,f406(x89411,x89412)))+P1(f317(x89411,f407(x89411,x89412)))+~P1(f317(f317(f225(a1),f2(a1)),x89412))+~P1(f317(x89411,f317(f317(f23(a1),f406(x89411,x89412)),f317(f317(f75(a1),f408(x89411,x89412)),x89412))))
% 92.29/92.11 [9065]~P1(f317(x90651,x90653))+~P1(f317(x90651,f406(x90651,x90652)))+~P1(f317(f317(f225(a1),f2(a1)),x90652))+P1(f317(f317(f319(a1),f407(x90651,x90652)),f293(a1,f72(a1),x90652)))+~P1(f317(x90651,f317(f317(f23(a1),f406(x90651,x90652)),f317(f317(f75(a1),f408(x90651,x90652)),x90652))))
% 92.29/92.11 [8847]~P107(x88471)+~P1(f317(f29(x88471),x88472))+E(f317(f317(f23(f904(x88471,a893)),x88472),f317(f317(f299(x88471),x88473),f178(f904(x88471,a893)))),f178(f904(x88471,a893)))+~P1(f317(f317(f319(x88471),x88473),x88472))+E(f317(f317(f228(x88471),x88473),f14(x88471,f317(f317(f23(f904(x88471,a893)),x88472),f317(f317(f299(x88471),x88473),f178(f904(x88471,a893)))))),f14(x88471,x88472))
% 92.29/92.11 [8848]~P107(x88481)+~P1(f317(f29(x88481),x88482))+E(f317(f317(f23(f904(x88481,a893)),x88482),f317(f317(f299(x88481),x88483),f178(f904(x88481,a893)))),f178(f904(x88481,a893)))+~P1(f317(f317(f319(x88481),x88483),x88482))+E(f317(f317(f223(x88481),x88483),f15(x88481,f317(f317(f23(f904(x88481,a893)),x88482),f317(f317(f299(x88481),x88483),f178(f904(x88481,a893)))))),f15(x88481,x88482))
% 92.29/92.11 [8849]~P99(x88491)+~P1(f317(f29(x88491),x88492))+E(f317(f317(f23(f904(x88491,a893)),x88492),f317(f317(f299(x88491),x88493),f178(f904(x88491,a893)))),f178(f904(x88491,a893)))+~P1(f317(f317(f319(x88491),x88493),x88492))+E(f317(f317(f91(x88491),x88493),f13(x88491,f317(f317(f23(f904(x88491,a893)),x88492),f317(f317(f299(x88491),x88493),f178(f904(x88491,a893)))))),f13(x88491,x88492))
% 92.29/92.11 [8850]~P99(x88501)+~P1(f317(f29(x88501),x88502))+E(f317(f317(f23(f904(x88501,a893)),x88502),f317(f317(f299(x88501),x88503),f178(f904(x88501,a893)))),f178(f904(x88501,a893)))+~P1(f317(f317(f319(x88501),x88503),x88502))+E(f317(f317(f92(x88501),x88503),f10(x88501,f317(f317(f23(f904(x88501,a893)),x88502),f317(f317(f299(x88501),x88503),f178(f904(x88501,a893)))))),f10(x88501,x88502))
% 92.29/92.11 [8912]~P107(x89121)+~P1(f317(f29(x89121),x89122))+E(f317(f317(f23(f904(x89121,a893)),x89122),f317(f317(f299(x89121),x89123),f178(f904(x89121,a893)))),f178(f904(x89121,a893)))+~P1(f317(f317(f319(x89121),x89123),x89122))+E(f317(f317(f228(x89121),x89123),f11(x89121,f228(x89121),f317(f317(f23(f904(x89121,a893)),x89122),f317(f317(f299(x89121),x89123),f178(f904(x89121,a893)))))),f11(x89121,f228(x89121),x89122))
% 92.29/92.11 [8913]~P107(x89131)+~P1(f317(f29(x89131),x89132))+E(f317(f317(f23(f904(x89131,a893)),x89132),f317(f317(f299(x89131),x89133),f178(f904(x89131,a893)))),f178(f904(x89131,a893)))+~P1(f317(f317(f319(x89131),x89133),x89132))+E(f317(f317(f223(x89131),x89133),f12(x89131,f223(x89131),f317(f317(f23(f904(x89131,a893)),x89132),f317(f317(f299(x89131),x89133),f178(f904(x89131,a893)))))),f12(x89131,f223(x89131),x89132))
% 92.29/92.11 [8928]~P107(x89281)+~P1(f317(f29(x89281),x89283))+~P1(f317(f29(x89281),x89282))+E(f317(f317(f92(f904(x89281,a893)),x89282),x89283),f178(f904(x89281,a893)))+E(f317(f317(f228(x89281),f14(x89281,f317(f317(f91(f904(x89281,a893)),x89282),x89283))),f14(x89281,f317(f317(f92(f904(x89281,a893)),x89282),x89283))),f317(f317(f228(x89281),f14(x89281,x89282)),f14(x89281,x89283)))
% 92.29/92.11 [8929]~P107(x89291)+~P1(f317(f29(x89291),x89293))+~P1(f317(f29(x89291),x89292))+E(f317(f317(f92(f904(x89291,a893)),x89292),x89293),f178(f904(x89291,a893)))+E(f317(f317(f223(x89291),f15(x89291,f317(f317(f91(f904(x89291,a893)),x89292),x89293))),f15(x89291,f317(f317(f92(f904(x89291,a893)),x89292),x89293))),f317(f317(f223(x89291),f15(x89291,x89292)),f15(x89291,x89293)))
% 92.29/92.11 [8930]~P99(x89301)+~P1(f317(f29(x89301),x89303))+~P1(f317(f29(x89301),x89302))+E(f317(f317(f92(f904(x89301,a893)),x89302),x89303),f178(f904(x89301,a893)))+E(f317(f317(f91(x89301),f13(x89301,f317(f317(f91(f904(x89301,a893)),x89302),x89303))),f13(x89301,f317(f317(f92(f904(x89301,a893)),x89302),x89303))),f317(f317(f91(x89301),f13(x89301,x89302)),f13(x89301,x89303)))
% 92.29/92.11 [8931]~P99(x89311)+~P1(f317(f29(x89311),x89313))+~P1(f317(f29(x89311),x89312))+E(f317(f317(f92(f904(x89311,a893)),x89312),x89313),f178(f904(x89311,a893)))+E(f317(f317(f92(x89311),f10(x89311,f317(f317(f91(f904(x89311,a893)),x89312),x89313))),f10(x89311,f317(f317(f92(f904(x89311,a893)),x89312),x89313))),f317(f317(f92(x89311),f10(x89311,x89312)),f10(x89311,x89313)))
% 92.29/92.11 [9147]~P107(x91471)+~P1(f317(f29(x91471),x91473))+~P1(f317(f29(x91471),x91472))+E(f317(f317(f92(f904(x91471,a893)),x91472),x91473),f178(f904(x91471,a893)))+E(f317(f317(f228(x91471),f11(x91471,f228(x91471),f317(f317(f91(f904(x91471,a893)),x91472),x91473))),f11(x91471,f228(x91471),f317(f317(f92(f904(x91471,a893)),x91472),x91473))),f317(f317(f228(x91471),f11(x91471,f228(x91471),x91472)),f11(x91471,f228(x91471),x91473)))
% 92.29/92.11 [9148]~P107(x91481)+~P1(f317(f29(x91481),x91483))+~P1(f317(f29(x91481),x91482))+E(f317(f317(f92(f904(x91481,a893)),x91482),x91483),f178(f904(x91481,a893)))+E(f317(f317(f223(x91481),f12(x91481,f223(x91481),f317(f317(f91(f904(x91481,a893)),x91482),x91483))),f12(x91481,f223(x91481),f317(f317(f92(f904(x91481,a893)),x91482),x91483))),f317(f317(f223(x91481),f12(x91481,f223(x91481),x91482)),f12(x91481,f223(x91481),x91483)))
% 92.29/92.11 [9957]~P110(x99573)+E(x99571,x99572)+~P1(f317(f317(f224(x99573),f2(x99573)),x99572))+~P1(f317(f317(f224(x99573),f2(x99573)),x99571))+~E(f317(f317(f234(x99573),x99571),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x99573),x99572),f317(f94(a897),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 92.29/92.11 [5157]~P93(x51571)+~P61(x51571)+~E(x51574,f2(x51571))+~E(f317(f94(x51571),x51572),f2(x51571))+E(f317(f94(x51571),x51572),f317(f317(f281(x51571),x51573),x51574))
% 92.29/92.11 [5158]~P93(x51581)+~P61(x51581)+~E(x51583,f2(x51581))+~E(f317(f94(x51581),x51584),f2(x51581))+E(f317(f317(f281(x51581),x51582),x51583),f317(f94(x51581),x51584))
% 92.29/92.11 [5247]~P93(x52472)+~P61(x52472)+~E(x52471,f2(x52472))+~E(f317(f94(x52472),x52474),f2(x52472))+E(x52471,f317(f317(f281(x52472),x52473),f317(f94(x52472),x52474)))
% 92.29/92.11 [5248]~P93(x52481)+~P61(x52481)+~E(x52484,f2(x52481))+~E(f317(f94(x52481),x52483),f2(x52481))+E(f317(f317(f281(x52481),x52482),f317(f94(x52481),x52483)),x52484)
% 92.29/92.11 [5279]~P93(x52791)+~P61(x52791)+~E(x52793,f2(x52791))+E(f317(f94(x52791),x52792),f2(x52791))+~E(f317(f94(x52791),x52792),f317(f317(f281(x52791),x52794),x52793))
% 92.29/92.11 [5280]~P93(x52801)+~P61(x52801)+~E(x52803,f2(x52801))+E(f317(f94(x52801),x52802),f2(x52801))+~E(f317(f317(f281(x52801),x52804),x52803),f317(f94(x52801),x52802))
% 92.29/92.11 [5446]~P93(x54462)+~P61(x54462)+E(x54461,f2(x54462))+~E(f317(f94(x54462),x54463),f2(x54462))+~E(x54461,f317(f317(f281(x54462),x54464),f317(f94(x54462),x54463)))
% 92.29/92.11 [5447]~P93(x54472)+~P61(x54472)+E(x54471,f2(x54472))+~E(f317(f94(x54472),x54473),f2(x54472))+~E(f317(f317(f281(x54472),x54474),f317(f94(x54472),x54473)),x54471)
% 92.29/92.11 [5678]~P93(x56782)+~P61(x56782)+~E(x56781,f2(x56782))+E(x56781,f317(f317(f281(x56782),x56783),f317(f94(x56782),x56784)))+~E(f317(f317(f75(x56782),x56781),f317(f94(x56782),x56784)),x56783)
% 92.29/92.11 [5679]~P93(x56791)+~P61(x56791)+~E(x56794,f2(x56791))+~E(x56792,f317(f317(f75(x56791),x56794),f317(f94(x56791),x56793)))+E(f317(f317(f281(x56791),x56792),f317(f94(x56791),x56793)),x56794)
% 92.29/92.11 [5744]~P93(x57441)+~P61(x57441)+E(f317(f94(x57441),x57442),f2(x57441))+~E(f317(f317(f281(x57441),x57443),f317(f94(x57441),x57442)),x57444)+E(x57443,f317(f317(f75(x57441),x57444),f317(f94(x57441),x57442)))
% 92.29/92.11 [5745]~P93(x57451)+~P61(x57451)+E(f317(f94(x57451),x57452),f2(x57451))+~E(f317(f317(f75(x57451),x57453),f317(f94(x57451),x57452)),x57454)+E(x57453,f317(f317(f281(x57451),x57454),f317(f94(x57451),x57452)))
% 92.29/92.11 [5746]~P93(x57461)+~P61(x57461)+E(f317(f94(x57461),x57462),f2(x57461))+~E(x57463,f317(f317(f281(x57461),x57464),f317(f94(x57461),x57462)))+E(f317(f317(f75(x57461),x57463),f317(f94(x57461),x57462)),x57464)
% 92.29/92.11 [5747]~P93(x57471)+~P61(x57471)+E(f317(f94(x57471),x57472),f2(x57471))+~E(x57473,f317(f317(f75(x57471),x57474),f317(f94(x57471),x57472)))+E(f317(f317(f281(x57471),x57473),f317(f94(x57471),x57472)),x57474)
% 92.29/92.11 [5962]~P3(x59622)+E(x59621,f2(x59622))+~E(f317(f317(f31(x59622),x59623),x59621),x59624)+E(x59623,f317(f317(f75(x59622),x59624),x59621))+~P1(f317(f317(f277(x59622),x59621),x59623))
% 92.29/92.11 [5963]~P3(x59632)+E(x59631,f2(x59632))+~E(x59633,f317(f317(f75(x59632),x59634),x59631))+E(f317(f317(f31(x59632),x59633),x59631),x59634)+~P1(f317(f317(f277(x59632),x59631),x59633))
% 92.29/92.11 [6440]E(f403(x64401,x64402,x64403),x64404)+E(f317(x64401,x64404),f2(a897))+~E(f317(f317(f6(x64403,a897),x64401),x64402),f72(a897))+~P1(f317(f29(x64403),x64402))+~P1(f317(f317(f319(x64403),x64404),x64402))
% 92.29/92.11 [6505]E(f414(x65051,x65052,x65053),x65054)+E(f317(x65051,x65054),f2(a897))+~E(f317(f317(f6(x65053,a897),x65051),x65052),f317(a102,f2(a897)))+~P1(f317(f29(x65053),x65052))+~P1(f317(f317(f319(x65053),x65054),x65052))
% 92.29/92.11 [6617]~P107(x66171)+~P5(x66171)+P1(f317(f317(f225(x66171),x66172),f32(x66171,x66173)))+~P1(f317(f317(f225(x66171),x66172),x66174))+~P1(f317(f317(f319(x66171),x66174),x66173))
% 92.29/92.11 [6794]~P107(x67941)+~P5(x67941)+~P1(f317(f317(f225(x67941),x67944),x67943))+P1(f317(f317(f225(x67941),f33(x67941,x67942)),x67943))+~P1(f317(f317(f319(x67941),x67944),x67942))
% 92.29/92.11 [7063]~P110(x70633)+E(x70631,x70632)+~E(f317(f317(f234(x70633),x70631),f317(a102,x70634)),f317(f317(f234(x70633),x70632),f317(a102,x70634)))+~P1(f317(f317(f224(x70633),f2(x70633)),x70632))+~P1(f317(f317(f224(x70633),f2(x70633)),x70631))
% 92.29/92.11 [7275]~E(f416(x72752,x72753,x72751,x72754),x72754)+~E(f317(x72752,x72754),f72(a897))+E(f317(f317(f6(x72751,a897),x72752),x72753),f72(a897))+~P1(f317(f29(x72751),x72753))+~P1(f317(f317(f319(x72751),x72754),x72753))
% 92.29/92.11 [7282]~P132(x72824)+~P119(x72824)+E(f317(x72821,f865(x72821,x72822,x72823,x72824)),f2(x72824))+~E(f317(f317(f9(x72823,x72824),x72821),x72822),f2(x72824))+~P1(f317(f29(x72823),x72822))
% 92.29/92.11 [7370]~E(f415(x73702,x73703,x73701,x73704),x73704)+~E(f317(x73702,x73704),f317(a102,f2(a897)))+E(f317(f317(f6(x73701,a897),x73702),x73703),f317(a102,f2(a897)))+~P1(f317(f29(x73701),x73703))+~P1(f317(f317(f319(x73701),x73704),x73703))
% 92.29/92.11 [8107]~E(f317(x81072,x81074),f72(a897))+~E(f317(x81072,f416(x81072,x81073,x81071,x81074)),f2(a897))+E(f317(f317(f6(x81071,a897),x81072),x81073),f72(a897))+~P1(f317(f29(x81071),x81073))+~P1(f317(f317(f319(x81071),x81074),x81073))
% 92.29/92.11 [8145]~E(f317(x81452,x81454),f317(a102,f2(a897)))+~E(f317(x81452,f415(x81452,x81453,x81451,x81454)),f2(a897))+E(f317(f317(f6(x81451,a897),x81452),x81453),f317(a102,f2(a897)))+~P1(f317(f29(x81451),x81453))+~P1(f317(f317(f319(x81451),x81454),x81453))
% 92.29/92.11 [8231]~P145(x82312)+~P121(x82312)+~P1(f317(x82311,x82314))+~P1(f317(f317(f277(x82312),x82313),f317(f317(f74(x82312),x82314),f2(x82312))))+P1(f317(x82311,f317(f317(f75(x82312),x82313),f839(x82313,x82311,x82312))))
% 92.29/92.11 [8696]~P107(x86961)+~P13(x86961,x86964)+P13(x86961,x86962)+~E(x86962,f317(f317(f141(x86961),x86963),x86964))+~P1(f317(f317(f224(x86961),x86963),f706(x86962,x86961,x86964,x86963)))
% 92.29/92.11 [8733]E(x87331,x87332)+E(f317(f317(f23(a1),f387(x87333,x87332,x87334,x87331)),f388(x87333,x87332,x87334,x87331)),x87331)+~E(f317(f317(f74(a1),x87331),x87334),x87332)+~P1(f317(f317(f225(a1),f2(a1)),x87334))+~P1(f317(f317(f319(a1),x87332),x87333))
% 92.29/92.11 [8734]E(x87341,x87342)+E(f317(f317(f74(a1),f389(x87343,x87342,x87344,x87341)),f390(x87343,x87342,x87344,x87341)),x87341)+~E(f317(f317(f23(a1),x87341),x87344),x87342)+~P1(f317(f317(f225(a1),f2(a1)),x87344))+~P1(f317(f317(f319(a1),x87342),x87343))
% 92.29/92.11 [8926]E(f317(x89261,f611(x89262,x89261,x89263,x89264)),x89262)+P1(f317(f317(f224(a897),x89264),f612(x89262,x89261,x89263,x89264)))+~P1(f317(f317(f224(a1),x89262),f317(x89261,x89263)))+~P1(f317(f317(f225(a897),x89264),x89263))+~P1(f317(f317(f224(a1),f317(x89261,x89264)),x89262))
% 92.29/92.11 [8927]~P107(x89271)+~P13(x89271,x89273)+P13(x89271,x89272)+~E(x89272,f317(f317(f141(x89271),x89274),x89273))+P1(f317(f317(f319(x89271),f706(x89272,x89271,x89273,x89274)),f317(f162(x89271),x89273)))
% 92.29/92.11 [8945]~P132(x89454)+~P119(x89454)+~E(f317(f317(f9(x89451,x89454),x89452),x89453),f2(x89454))+~P1(f317(f29(x89451),x89453))+P1(f317(f317(f319(x89451),f865(x89452,x89453,x89451,x89454)),x89453))
% 92.29/92.11 [8983]~E(f317(x89832,x89834),f72(a897))+E(f317(f317(f6(x89831,a897),x89832),x89833),f72(a897))+~P1(f317(f29(x89831),x89833))+~P1(f317(f317(f319(x89831),x89834),x89833))+P1(f317(f317(f319(x89831),f416(x89832,x89833,x89831,x89834)),x89833))
% 92.29/92.11 [8995]E(x89951,x89952)+~E(f317(f317(f74(a1),x89952),x89954),x89951)+~P1(f317(f317(f225(a1),f2(a1)),x89954))+~P1(f317(f317(f319(a1),x89951),x89953))+P1(f317(f317(f319(a1),f387(x89953,x89951,x89954,x89952)),x89953))
% 92.29/92.11 [8996]E(x89961,x89962)+~E(f317(f317(f23(a1),x89962),x89964),x89961)+~P1(f317(f317(f225(a1),f2(a1)),x89964))+~P1(f317(f317(f319(a1),x89961),x89963))+P1(f317(f317(f319(a1),f389(x89963,x89961,x89964,x89962)),x89963))
% 92.29/92.11 [8998]~E(f317(x89982,x89984),f317(a102,f2(a897)))+E(f317(f317(f6(x89981,a897),x89982),x89983),f317(a102,f2(a897)))+~P1(f317(f29(x89981),x89983))+~P1(f317(f317(f319(x89981),x89984),x89983))+P1(f317(f317(f319(x89981),f415(x89982,x89983,x89981,x89984)),x89983))
% 92.29/92.11 [9003]P58(x90032,x90033,x90034,x90031)+E(x90031,f178(f904(x90032,a893)))+~P1(f317(f29(x90032),x90034))+~P1(f317(f29(x90032),x90031))+P1(f317(f317(f319(x90032),f775(x90033,x90031,x90034,x90032)),x90034))
% 92.29/92.11 [9004]P58(x90042,x90043,x90044,x90041)+E(x90041,f178(f904(x90042,a893)))+~P1(f317(f29(x90042),x90044))+~P1(f317(f29(x90042),x90041))+P1(f317(f317(f319(x90042),f482(x90041,x90044,x90043,x90042)),x90044))
% 92.29/92.11 [9005]P58(x90052,x90053,x90054,x90051)+E(x90051,f178(f904(x90052,a893)))+~P1(f317(f29(x90052),x90054))+~P1(f317(f29(x90052),x90051))+P1(f317(f317(f319(x90052),f776(x90051,x90054,x90053,x90052)),x90054))
% 92.29/92.11 [9078]E(x90781,x90782)+~E(f317(f317(f74(a1),x90782),x90784),x90781)+~P1(f317(f317(f225(a1),f2(a1)),x90784))+~P1(f317(f317(f319(a1),x90781),x90783))+P1(f317(f317(f319(a1),f388(x90783,x90781,x90784,x90782)),f293(a1,f72(a1),x90784)))
% 92.29/92.11 [9079]E(x90791,x90792)+~E(f317(f317(f23(a1),x90792),x90794),x90791)+~P1(f317(f317(f225(a1),f2(a1)),x90794))+~P1(f317(f317(f319(a1),x90791),x90793))+P1(f317(f317(f319(a1),f390(x90793,x90791,x90794,x90792)),f293(a1,f72(a1),x90794)))
% 92.29/92.11 [9153]P1(f317(f317(f224(a897),x91531),f611(x91532,x91533,x91534,x91531)))+~P1(f317(f317(f224(a1),x91532),f317(x91533,x91534)))+P1(f317(f317(f224(a897),x91531),f612(x91532,x91533,x91534,x91531)))+~P1(f317(f317(f225(a897),x91531),x91534))+~P1(f317(f317(f224(a1),f317(x91533,x91531)),x91532))
% 92.29/92.11 [9268]E(f317(x92681,f611(x92682,x92681,x92683,x92684)),x92682)+~P1(f317(f317(f224(a1),x92682),f317(x92681,x92683)))+P1(f317(f317(f225(a897),f612(x92682,x92681,x92683,x92684)),x92683))+~P1(f317(f317(f225(a897),x92684),x92683))+~P1(f317(f317(f224(a1),f317(x92681,x92684)),x92682))
% 92.29/92.11 [9384]~P1(f317(f317(f277(a897),x93844),x93841))+~P1(f317(f317(f277(a897),x93844),x93843))+~P1(f317(f317(f277(a897),x93842),x93841))+P1(f317(f317(f277(a897),x93841),x93842))+P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x93843,x93842)),f280(a897,f277(a897),x93844,x93841)))
% 92.29/92.11 [9385]~P1(f317(f317(f277(a897),x93852),x93851))+~P1(f317(f317(f277(a897),x93853),x93854))+~P1(f317(f317(f277(a897),x93852),x93854))+P1(f317(f317(f277(a897),x93851),x93852))+P1(f317(f317(f225(f904(a897,a893)),f280(a897,f277(a897),x93851,x93853)),f280(a897,f277(a897),x93852,x93854)))
% 92.29/92.11 [9402]~P1(f317(f317(f224(a1),x94022),f317(x94023,x94024)))+P1(f317(f317(f224(a897),x94021),f612(x94022,x94023,x94024,x94021)))+P1(f317(f317(f224(a897),f611(x94022,x94023,x94024,x94021)),x94024))+~P1(f317(f317(f225(a897),x94021),x94024))+~P1(f317(f317(f224(a1),f317(x94023,x94021)),x94022))
% 92.29/92.11 [9403]~P1(f317(f317(f224(a1),x94032),f317(x94033,x94034)))+P1(f317(f317(f224(a897),x94031),f611(x94032,x94033,x94034,x94031)))+P1(f317(f317(f225(a897),f612(x94032,x94033,x94034,x94031)),x94034))+~P1(f317(f317(f225(a897),x94031),x94034))+~P1(f317(f317(f224(a1),f317(x94033,x94031)),x94032))
% 92.29/92.11 [9511]~P1(f317(f317(f224(a1),x95111),f317(x95112,x95113)))+P1(f317(f317(f225(a897),f612(x95111,x95112,x95113,x95114)),x95113))+~P1(f317(f317(f225(a897),x95114),x95113))+~P1(f317(f317(f224(a1),f317(x95112,x95114)),x95111))+P1(f317(f317(f224(a897),f611(x95111,x95112,x95113,x95114)),x95113))
% 92.29/92.11 [9605]E(x96051,f178(f904(x96052,a893)))+~P1(f317(f29(x96052),x96054))+~P1(f317(f29(x96052),x96051))+P1(f317(f317(f319(f903(f904(x96052,a893),f904(x96052,a893))),f317(f317(f242(f904(x96052,a893),f904(x96052,a893)),x96054),x96051)),f309(x96052,x96053)))+P1(f317(f317(f319(x96052),f485(x96053,x96051,x96054,x96052)),x96054))
% 92.29/92.11 [9606]E(x96061,f178(f904(x96062,a893)))+~P1(f317(f29(x96062),x96064))+~P1(f317(f29(x96062),x96061))+P1(f317(f317(f319(f903(f904(x96062,a893),f904(x96062,a893))),f317(f317(f242(f904(x96062,a893),f904(x96062,a893)),x96064),x96061)),f309(x96062,x96063)))+P1(f317(f317(f319(x96062),f573(x96063,x96061,x96064,x96062)),x96064))
% 92.29/92.11 [10279]E(f317(x102791,f611(x102792,x102791,x102793,x102794)),x102792)+~P1(f317(f317(f224(a1),x102792),f317(x102791,x102793)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102791,f317(f317(f74(a897),f612(x102792,x102791,x102793,x102794)),f72(a897)))),f317(x102791,f612(x102792,x102791,x102793,x102794))))),f72(a1)))+~P1(f317(f317(f225(a897),x102794),x102793))+~P1(f317(f317(f224(a1),f317(x102791,x102794)),x102792))
% 92.29/92.11 [10280]~P1(f317(f317(f224(a1),x102802),f317(x102803,x102804)))+P1(f317(f317(f224(a897),x102801),f611(x102802,x102803,x102804,x102801)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102803,f317(f317(f74(a897),f612(x102802,x102803,x102804,x102801)),f72(a897)))),f317(x102803,f612(x102802,x102803,x102804,x102801))))),f72(a1)))+~P1(f317(f317(f225(a897),x102801),x102804))+~P1(f317(f317(f224(a1),f317(x102803,x102801)),x102802))
% 92.29/92.11 [10281]~P1(f317(f317(f224(a1),x102811),f317(x102812,x102813)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102812,f317(f317(f74(a897),f612(x102811,x102812,x102813,x102814)),f72(a897)))),f317(x102812,f612(x102811,x102812,x102813,x102814))))),f72(a1)))+~P1(f317(f317(f225(a897),x102814),x102813))+~P1(f317(f317(f224(a1),f317(x102812,x102814)),x102811))+P1(f317(f317(f224(a897),f611(x102811,x102812,x102813,x102814)),x102813))
% 92.29/92.11 [5702]~P93(x57022)+~P61(x57022)+E(x57021,f2(x57022))+~E(f317(f317(f281(x57022),x57023),x57021),f317(f94(x57022),x57024))+E(x57023,f317(f317(f75(x57022),f317(f94(x57022),x57024)),x57021))
% 92.29/92.11 [5703]~P93(x57032)+~P61(x57032)+E(x57031,f2(x57032))+~E(f317(f94(x57032),x57033),f317(f317(f281(x57032),x57034),x57031))+E(f317(f317(f75(x57032),f317(f94(x57032),x57033)),x57031),x57034)
% 92.29/92.11 [5858]~P93(x58582)+~P61(x58582)+E(x58581,f2(x58582))+E(f317(f94(x58582),x58583),f317(f317(f281(x58582),x58584),x58581))+~E(f317(f317(f75(x58582),f317(f94(x58582),x58583)),x58581),x58584)
% 92.29/92.11 [5859]~P93(x58592)+~P61(x58592)+E(x58591,f2(x58592))+E(f317(f317(f281(x58592),x58593),x58591),f317(f94(x58592),x58594))+~E(x58593,f317(f317(f75(x58592),f317(f94(x58592),x58594)),x58591))
% 92.29/92.11 [5999]~P93(x59991)+~P61(x59991)+~E(f317(f94(x59991),x59992),f2(x59991))+E(f317(f94(x59991),x59992),f317(f317(f281(x59991),x59993),x59994))+~E(f317(f317(f75(x59991),f317(f94(x59991),x59992)),x59994),x59993)
% 92.29/92.11 [6000]~P93(x60001)+~P61(x60001)+~E(f317(f94(x60001),x60004),f2(x60001))+E(f317(f317(f281(x60001),x60002),x60003),f317(f94(x60001),x60004))+~E(x60002,f317(f317(f75(x60001),f317(f94(x60001),x60004)),x60003))
% 92.29/92.11 [7333]~P63(x73331)+P1(f317(f317(f225(x73331),x73332),f2(x73331)))+~P1(f317(f317(f224(x73331),x73333),f2(x73331)))+P1(f317(f317(f225(x73331),f2(x73331)),x73332))+P1(f317(f317(f224(x73331),x73333),f317(f317(f281(x73331),x73334),x73332)))
% 92.29/92.11 [7334]~P63(x73341)+P1(f317(f317(f225(x73341),x73342),f2(x73341)))+~P1(f317(f317(f225(x73341),x73343),f2(x73341)))+P1(f317(f317(f225(x73341),f2(x73341)),x73342))+P1(f317(f317(f225(x73341),x73343),f317(f317(f281(x73341),x73344),x73342)))
% 92.29/92.11 [7583]~P63(x75831)+P1(f317(f317(f224(x75831),x75832),f2(x75831)))+P1(f317(f317(f225(x75831),x75833),f2(x75831)))+P1(f317(f317(f225(x75831),f2(x75831)),x75833))+~P1(f317(f317(f224(x75831),x75832),f317(f317(f281(x75831),x75834),x75833)))
% 92.29/92.11 [7584]~P63(x75841)+P1(f317(f317(f225(x75841),x75842),f2(x75841)))+P1(f317(f317(f225(x75841),x75843),f2(x75841)))+P1(f317(f317(f225(x75841),f2(x75841)),x75843))+~P1(f317(f317(f225(x75841),x75842),f317(f317(f281(x75841),x75844),x75843)))
% 92.29/92.11 [7702]E(x77021,x77022)+~E(f317(f317(f154(x77023),x77024),x77021),f317(f317(f154(x77023),x77024),x77022))+~P1(f317(f127(x77023),x77024))+~P1(f317(f317(f225(a897),x77022),f317(f179(f898(x77023)),x77024)))+~P1(f317(f317(f225(a897),x77021),f317(f179(f898(x77023)),x77024)))
% 92.29/92.11 [7703]E(x77031,x77032)+~E(f317(f317(f154(x77033),x77034),x77031),f317(f317(f154(x77033),x77034),x77032))+~P1(f317(f127(x77033),x77034))+~P1(f317(f317(f225(a897),x77032),f317(f179(f898(x77033)),x77034)))+~P1(f317(f317(f225(a897),x77031),f317(f179(f898(x77033)),x77034)))
% 92.29/92.11 [8069]~P63(x80691)+~P1(f317(f317(f224(x80691),x80693),f2(x80691)))+P1(f317(f317(f225(x80691),f2(x80691)),x80692))+~P1(f317(f317(f224(x80691),x80694),f317(f317(f75(x80691),x80693),x80692)))+P1(f317(f317(f224(x80691),x80693),f317(f317(f281(x80691),x80694),x80692)))
% 92.29/92.11 [8070]~P63(x80701)+~P1(f317(f317(f225(x80701),x80703),f2(x80701)))+P1(f317(f317(f225(x80701),f2(x80701)),x80702))+~P1(f317(f317(f225(x80701),x80704),f317(f317(f75(x80701),x80703),x80702)))+P1(f317(f317(f225(x80701),x80703),f317(f317(f281(x80701),x80704),x80702)))
% 92.29/92.11 [8071]~P63(x80711)+~P1(f317(f317(f225(x80711),x80712),f2(x80711)))+P1(f317(f317(f225(x80711),f2(x80711)),x80712))+~P1(f317(f317(f224(x80711),x80714),f317(f317(f75(x80711),x80713),x80712)))+P1(f317(f317(f224(x80711),x80713),f317(f317(f281(x80711),x80714),x80712)))
% 92.29/92.11 [8072]~P63(x80721)+~P1(f317(f317(f225(x80721),x80722),f2(x80721)))+P1(f317(f317(f225(x80721),f2(x80721)),x80722))+~P1(f317(f317(f224(x80721),x80724),f317(f317(f281(x80721),x80723),x80722)))+P1(f317(f317(f224(x80721),x80723),f317(f317(f75(x80721),x80724),x80722)))
% 92.29/92.11 [8073]~P63(x80731)+~P1(f317(f317(f225(x80731),x80732),f2(x80731)))+P1(f317(f317(f225(x80731),f2(x80731)),x80732))+~P1(f317(f317(f225(x80731),x80734),f317(f317(f75(x80731),x80733),x80732)))+P1(f317(f317(f225(x80731),x80733),f317(f317(f281(x80731),x80734),x80732)))
% 92.29/92.11 [8074]~P63(x80741)+~P1(f317(f317(f225(x80741),x80742),f2(x80741)))+P1(f317(f317(f225(x80741),f2(x80741)),x80742))+~P1(f317(f317(f225(x80741),x80744),f317(f317(f281(x80741),x80743),x80742)))+P1(f317(f317(f225(x80741),x80743),f317(f317(f75(x80741),x80744),x80742)))
% 92.29/92.11 [8199]~P3(x81991)+~P1(f317(f317(f277(x81991),x81993),x81994))+~P1(f317(f317(f277(x81991),x81993),x81992))+~P1(f317(f317(f277(x81991),x81992),x81994))+P1(f317(f317(f277(x81991),f317(f317(f31(x81991),x81992),x81993)),f317(f317(f31(x81991),x81994),x81993)))
% 92.29/92.11 [8213]~P107(x82131)+~P13(x82131,x82132)+~P1(f317(f317(f224(a897),x82133),x82134))+P1(f317(f317(f224(x82131),f317(f317(f154(x82131),x82132),x82133)),f317(f317(f154(x82131),x82132),x82134)))+~P1(f317(f317(f225(a897),x82134),f317(f179(f898(x82131)),x82132)))
% 92.29/92.11 [8214]~P107(x82141)+~P13(x82141,x82142)+~P1(f317(f317(f224(a897),x82143),x82144))+P1(f317(f317(f224(x82141),f317(f317(f154(x82141),x82142),x82143)),f317(f317(f154(x82141),x82142),x82144)))+~P1(f317(f317(f225(a897),x82144),f317(f179(f898(x82141)),x82142)))
% 92.29/92.11 [8267]~P110(x82671)+~P1(f317(f317(f224(x82671),x82672),f72(x82671)))+~P1(f317(f317(f224(x82671),f2(x82671)),x82672))+~P1(f317(f317(f224(a897),x82674),x82673))+P1(f317(f317(f224(x82671),f317(f317(f234(x82671),x82672),x82673)),f317(f317(f234(x82671),x82672),x82674)))
% 92.29/92.11 [8268]~P110(x82681)+~P1(f317(f317(f225(x82681),x82682),f72(x82681)))+~P1(f317(f317(f225(x82681),f2(x82681)),x82682))+~P1(f317(f317(f225(a897),x82684),x82683))+P1(f317(f317(f225(x82681),f317(f317(f234(x82681),x82682),x82683)),f317(f317(f234(x82681),x82682),x82684)))
% 92.29/92.11 [8269]~P110(x82691)+~P1(f317(f317(f224(x82691),f2(x82691)),x82692))+~P1(f317(f317(f225(a897),f2(a897)),x82693))+~P1(f317(f317(f225(x82691),x82692),x82694))+P1(f317(f317(f225(x82691),f317(f317(f234(x82691),x82692),x82693)),f317(f317(f234(x82691),x82694),x82693)))
% 92.29/92.11 [8287]~P107(x82871)+~P13(x82871,f317(f158(x82871),x82872))+~P1(f317(f317(f224(a897),x82874),x82873))+P1(f317(f317(f224(x82871),f317(f317(f154(x82871),x82872),x82873)),f317(f317(f154(x82871),x82872),x82874)))+~P1(f317(f317(f225(a897),x82873),f317(f179(f898(x82871)),x82872)))
% 92.29/92.11 [8518]~P3(x85181)+P1(f317(f317(f277(x85181),x85182),x85183))+~P1(f317(f317(f277(x85181),x85184),x85183))+~P1(f317(f317(f277(x85181),x85184),x85182))+~P1(f317(f317(f277(x85181),f317(f317(f31(x85181),x85182),x85184)),f317(f317(f31(x85181),x85183),x85184)))
% 92.29/92.11 [8533]~P63(x85331)+~P1(f317(f317(f224(x85331),x85332),f2(x85331)))+~P1(f317(f317(f224(x85331),x85333),x85334))+~P1(f317(f317(f225(x85331),f2(x85331)),f317(f317(f75(x85331),x85333),x85334)))+P1(f317(f317(f224(x85331),f317(f317(f281(x85331),x85332),x85333)),f317(f317(f281(x85331),x85332),x85334)))
% 92.29/92.11 [8534]~P64(x85341)+~P1(f317(f317(f225(x85341),x85342),f2(x85341)))+~P1(f317(f317(f225(x85341),x85343),x85344))+~P1(f317(f317(f225(x85341),f2(x85341)),f317(f317(f75(x85341),x85343),x85344)))+P1(f317(f317(f225(x85341),f317(f317(f281(x85341),x85342),x85343)),f317(f317(f281(x85341),x85342),x85344)))
% 92.29/92.11 [8543]~P64(x85431)+~P1(f317(f317(f224(x85431),x85434),x85433))+~P1(f317(f317(f224(x85431),f2(x85431)),x85432))+~P1(f317(f317(f225(x85431),f2(x85431)),f317(f317(f75(x85431),x85433),x85434)))+P1(f317(f317(f224(x85431),f317(f317(f281(x85431),x85432),x85433)),f317(f317(f281(x85431),x85432),x85434)))
% 92.29/92.11 [8544]~P64(x85441)+~P1(f317(f317(f225(x85441),x85444),x85443))+~P1(f317(f317(f225(x85441),f2(x85441)),x85442))+~P1(f317(f317(f225(x85441),f2(x85441)),f317(f317(f75(x85441),x85443),x85444)))+P1(f317(f317(f225(x85441),f317(f317(f281(x85441),x85442),x85443)),f317(f317(f281(x85441),x85442),x85444)))
% 92.29/92.11 [8644]P1(f317(x86441,x86442))+~P1(f317(f29(x86444),x86442))+P1(f317(x86441,f884(x86441,x86443,x86442,x86444)))+~P1(f317(x86441,f178(f904(x86444,a893))))+~P1(f317(f317(f224(f904(x86444,a893)),x86442),x86443))
% 92.29/92.11 [8653]P1(f317(x86531,x86532))+P1(f317(f29(x86533),f884(x86531,x86534,x86532,x86533)))+~P1(f317(f29(x86533),x86532))+~P1(f317(x86531,f178(f904(x86533,a893))))+~P1(f317(f317(f224(f904(x86533,a893)),x86532),x86534))
% 92.29/92.11 [8921]E(f317(f317(f74(a1),f394(x89211,x89212,x89213,x89214)),f395(x89211,x89212,x89213,x89214)),x89214)+~P1(f317(f317(f225(a1),f2(a1)),x89213))+~P1(f317(f317(f225(a1),x89212),x89214))+~P1(f317(f317(f319(a1),x89212),x89211))+P1(f317(f317(f225(a1),x89212),f317(f317(f23(a1),x89214),x89213)))
% 92.29/92.11 [9135]~P1(f317(f317(f225(a1),f2(a1)),x91353))+~P1(f317(f317(f225(a1),x91352),x91354))+~P1(f317(f317(f319(a1),x91352),x91351))+P1(f317(f317(f319(a1),f394(x91351,x91352,x91353,x91354)),x91351))+P1(f317(f317(f225(a1),x91352),f317(f317(f23(a1),x91354),x91353)))
% 92.29/92.11 [9146]P1(f317(x91461,x91462))+~P1(f317(f29(x91463),x91462))+P1(f317(f317(f319(x91463),f882(x91461,x91464,x91462,x91463)),x91464))+~P1(f317(x91461,f178(f904(x91463,a893))))+~P1(f317(f317(f224(f904(x91463,a893)),x91462),x91464))
% 92.29/92.11 [9163]E(f317(f317(f74(a1),f379(x91631,x91632,x91633,x91634)),f380(x91631,x91632,x91633,x91634)),x91634)+~P1(f317(f317(f225(a1),f2(a1)),x91633))+~P1(f317(f317(f224(a1),x91632),x91634))+P1(f317(f317(f224(a1),x91632),f317(f317(f23(a1),x91634),x91633)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x91632),f72(a1))),x91631))
% 92.29/92.11 [9218]~P1(f317(f317(f225(a1),f2(a1)),x92183))+~P1(f317(f317(f225(a1),x92181),x92182))+~P1(f317(f317(f319(a1),x92181),x92184))+P1(f317(f317(f319(a1),f395(x92184,x92181,x92183,x92182)),f293(a1,f72(a1),x92183)))+P1(f317(f317(f225(a1),x92181),f317(f317(f23(a1),x92182),x92183)))
% 92.29/92.11 [9244]~P77(x92442)+~E(f758(x92443,x92444,x92441,x92442),f756(x92443,x92444,x92441,x92442))+~P1(f317(f29(x92441),f757(x92443,x92444,x92441,x92442)))+E(f317(f317(f6(f904(x92441,a893),x92442),f317(f6(x92441,x92442),x92443)),x92444),f317(f317(f6(x92441,x92442),x92443),f32(f904(x92441,a893),x92444)))+~P1(f317(f29(f904(x92441,a893)),x92444))
% 92.29/92.11 [9248]~P77(x92482)+~E(f317(x92483,f759(x92483,x92484,x92481,x92482)),f2(x92482))+~P1(f317(f29(x92481),f757(x92483,x92484,x92481,x92482)))+E(f317(f317(f6(f904(x92481,a893),x92482),f317(f6(x92481,x92482),x92483)),x92484),f317(f317(f6(x92481,x92482),x92483),f32(f904(x92481,a893),x92484)))+~P1(f317(f29(f904(x92481,a893)),x92484))
% 92.29/92.11 [9312]~P1(f317(f317(f225(a1),f2(a1)),x93123))+~P1(f317(f317(f224(a1),x93122),x93124))+P1(f317(f317(f319(a1),f379(x93121,x93122,x93123,x93124)),x93121))+P1(f317(f317(f224(a1),x93122),f317(f317(f23(a1),x93124),x93123)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93122),f72(a1))),x93121))
% 92.29/92.11 [9358]~P1(f317(f317(f225(a1),f2(a1)),x93583))+~P1(f317(f317(f224(a1),x93581),x93582))+P1(f317(f317(f319(a1),f380(x93584,x93581,x93583,x93582)),f293(a1,f72(a1),x93583)))+P1(f317(f317(f224(a1),x93581),f317(f317(f23(a1),x93582),x93583)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93581),f72(a1))),x93584))
% 92.29/92.11 [9380]~P77(x93802)+~E(f758(x93803,x93804,x93801,x93802),f756(x93803,x93804,x93801,x93802))+E(f317(f317(f6(f904(x93801,a893),x93802),f317(f6(x93801,x93802),x93803)),x93804),f317(f317(f6(x93801,x93802),x93803),f32(f904(x93801,a893),x93804)))+P1(f317(f317(f319(f904(x93801,a893)),f757(x93803,x93804,x93801,x93802)),x93804))+~P1(f317(f29(f904(x93801,a893)),x93804))
% 92.29/92.11 [9387]~P77(x93872)+~E(f317(x93873,f759(x93873,x93874,x93871,x93872)),f2(x93872))+E(f317(f317(f6(f904(x93871,a893),x93872),f317(f6(x93871,x93872),x93873)),x93874),f317(f317(f6(x93871,x93872),x93873),f32(f904(x93871,a893),x93874)))+P1(f317(f317(f319(f904(x93871,a893)),f757(x93873,x93874,x93871,x93872)),x93874))+~P1(f317(f29(f904(x93871,a893)),x93874))
% 92.29/92.11 [9488]~P77(x94882)+~P1(f317(f29(x94881),f757(x94883,x94884,x94881,x94882)))+E(f317(f317(f6(f904(x94881,a893),x94882),f317(f6(x94881,x94882),x94883)),x94884),f317(f317(f6(x94881,x94882),x94883),f32(f904(x94881,a893),x94884)))+P1(f317(f317(f319(f904(x94881,a893)),f756(x94883,x94884,x94881,x94882)),x94884))+~P1(f317(f29(f904(x94881,a893)),x94884))
% 92.29/92.11 [9489]~P77(x94892)+~P1(f317(f29(x94891),f757(x94893,x94894,x94891,x94892)))+E(f317(f317(f6(f904(x94891,a893),x94892),f317(f6(x94891,x94892),x94893)),x94894),f317(f317(f6(x94891,x94892),x94893),f32(f904(x94891,a893),x94894)))+P1(f317(f317(f319(f904(x94891,a893)),f758(x94893,x94894,x94891,x94892)),x94894))+~P1(f317(f29(f904(x94891,a893)),x94894))
% 92.29/92.11 [9569]~P77(x95692)+E(f317(f317(f6(f904(x95691,a893),x95692),f317(f6(x95691,x95692),x95693)),x95694),f317(f317(f6(x95691,x95692),x95693),f32(f904(x95691,a893),x95694)))+P1(f317(f317(f319(f904(x95691,a893)),f757(x95693,x95694,x95691,x95692)),x95694))+P1(f317(f317(f319(f904(x95691,a893)),f756(x95693,x95694,x95691,x95692)),x95694))+~P1(f317(f29(f904(x95691,a893)),x95694))
% 92.29/92.11 [9570]~P77(x95702)+E(f317(f317(f6(f904(x95701,a893),x95702),f317(f6(x95701,x95702),x95703)),x95704),f317(f317(f6(x95701,x95702),x95703),f32(f904(x95701,a893),x95704)))+P1(f317(f317(f319(f904(x95701,a893)),f757(x95703,x95704,x95701,x95702)),x95704))+P1(f317(f317(f319(f904(x95701,a893)),f758(x95703,x95704,x95701,x95702)),x95704))+~P1(f317(f29(f904(x95701,a893)),x95704))
% 92.29/92.11 [9591]~P77(x95912)+P1(f317(f317(f319(x95911),f759(x95913,x95914,x95911,x95912)),f756(x95913,x95914,x95911,x95912)))+~P1(f317(f29(x95911),f757(x95913,x95914,x95911,x95912)))+E(f317(f317(f6(f904(x95911,a893),x95912),f317(f6(x95911,x95912),x95913)),x95914),f317(f317(f6(x95911,x95912),x95913),f32(f904(x95911,a893),x95914)))+~P1(f317(f29(f904(x95911,a893)),x95914))
% 92.29/92.11 [9592]~P77(x95922)+P1(f317(f317(f319(x95921),f759(x95923,x95924,x95921,x95922)),f758(x95923,x95924,x95921,x95922)))+~P1(f317(f29(x95921),f757(x95923,x95924,x95921,x95922)))+E(f317(f317(f6(f904(x95921,a893),x95922),f317(f6(x95921,x95922),x95923)),x95924),f317(f317(f6(x95921,x95922),x95923),f32(f904(x95921,a893),x95924)))+~P1(f317(f29(f904(x95921,a893)),x95924))
% 92.29/92.11 [9609]P1(f317(x96091,x96092))+~P1(f317(f317(f319(x96093),f882(x96091,x96094,x96092,x96093)),f884(x96091,x96094,x96092,x96093)))+~P1(f317(f29(x96093),x96092))+~P1(f317(x96091,f178(f904(x96093,a893))))+~P1(f317(f317(f224(f904(x96093,a893)),x96092),x96094))
% 92.29/92.11 [9646]~P77(x96462)+P1(f317(f317(f319(x96461),f759(x96463,x96464,x96461,x96462)),f756(x96463,x96464,x96461,x96462)))+E(f317(f317(f6(f904(x96461,a893),x96462),f317(f6(x96461,x96462),x96463)),x96464),f317(f317(f6(x96461,x96462),x96463),f32(f904(x96461,a893),x96464)))+P1(f317(f317(f319(f904(x96461,a893)),f757(x96463,x96464,x96461,x96462)),x96464))+~P1(f317(f29(f904(x96461,a893)),x96464))
% 92.29/92.11 [9647]~P77(x96472)+P1(f317(f317(f319(x96471),f759(x96473,x96474,x96471,x96472)),f758(x96473,x96474,x96471,x96472)))+E(f317(f317(f6(f904(x96471,a893),x96472),f317(f6(x96471,x96472),x96473)),x96474),f317(f317(f6(x96471,x96472),x96473),f32(f904(x96471,a893),x96474)))+P1(f317(f317(f319(f904(x96471,a893)),f757(x96473,x96474,x96471,x96472)),x96474))+~P1(f317(f29(f904(x96471,a893)),x96474))
% 92.29/92.11 [9822]P1(f317(x98221,x98222))+~P1(f317(f29(x98223),x98222))+~P1(f317(x98221,f317(f317(f299(x98223),f882(x98221,x98224,x98222,x98223)),f884(x98221,x98224,x98222,x98223))))+~P1(f317(x98221,f178(f904(x98223,a893))))+~P1(f317(f317(f224(f904(x98223,a893)),x98222),x98224))
% 92.29/92.11 [10153]~P108(x101533)+~P48(a897,x101533,f317(f317(f18(a897,f904(a897,a893),f904(a897,a893)),f317(f317(f8(f904(a897,f904(a893,a893)),f904(f904(a897,a893),f904(a897,a893)),a897),f18(a897,a893,a893)),f317(f317(f8(f904(a897,a893),f904(a897,f904(a893,a893)),a897),f317(f8(a893,f904(a893,a893),a897),a315)),f277(a897)))),f317(f317(f8(f904(a897,a893),f904(a897,a893),a897),f317(f8(a893,a893,a897),a312)),f317(f7(a897,a897,a893),f277(a897)))),x101534)+P1(f317(f317(f225(x101533),f317(x101534,x101532)),f317(x101534,x101531)))+~P1(f317(f317(f277(a897),x101532),x101531))+P1(f317(f317(f277(a897),x101531),x101532))
% 92.29/92.11 [7839]~P63(x78391)+P1(f317(f317(f225(x78391),x78392),f2(x78391)))+~P1(f317(f317(f224(x78391),f2(x78391)),x78394))+P1(f317(f317(f225(x78391),f2(x78391)),x78392))+P1(f317(f317(f224(x78391),f317(f317(f281(x78391),x78393),x78392)),x78394))
% 92.29/92.11 [7840]~P63(x78401)+P1(f317(f317(f225(x78401),x78402),f2(x78401)))+P1(f317(f317(f225(x78401),f2(x78401)),x78402))+~P1(f317(f317(f225(x78401),f2(x78401)),x78404))+P1(f317(f317(f225(x78401),f317(f317(f281(x78401),x78403),x78402)),x78404))
% 92.29/92.11 [8120]~P1(f317(f317(f224(a1),x81204),f2(a1)))+~E(x81202,f317(f317(f74(a1),f317(f317(f75(a1),x81201),x81203)),x81204))+P1(f317(f317(f225(a1),f2(a1)),x81201))+~P1(f317(f317(f225(a1),x81201),x81204))+P1(f317(f45(x81202,x81201),f317(f317(f242(a1,a1),x81203),x81204)))
% 92.29/92.11 [8154]~P1(f317(x81541,x81544))+P1(f317(x81541,f325(x81542,x81541,x81543)))+~P1(f317(f317(f224(a1),f2(a1)),x81542))+~P1(f317(f317(f225(a1),f2(a1)),x81543))+P1(f317(x81541,f317(f317(f23(a1),x81544),f317(f317(f75(a1),x81542),x81543))))
% 92.29/92.11 [8155]~P1(f317(x81551,x81554))+P1(f317(x81551,f352(x81552,x81551,x81553)))+~P1(f317(f317(f224(a1),f2(a1)),x81552))+~P1(f317(f317(f225(a1),f2(a1)),x81553))+P1(f317(x81551,f317(f317(f74(a1),x81554),f317(f317(f75(a1),x81552),x81553))))
% 92.29/92.11 [8156]~P63(x81561)+P1(f317(f317(f225(x81561),x81562),f2(x81561)))+P1(f317(f317(f225(x81561),f2(x81561)),x81562))+P1(f317(f317(f224(x81561),f2(x81561)),x81563))+~P1(f317(f317(f224(x81561),f317(f317(f281(x81561),x81564),x81562)),x81563))
% 92.29/92.11 [8157]~P63(x81571)+P1(f317(f317(f225(x81571),x81572),f2(x81571)))+P1(f317(f317(f225(x81571),f2(x81571)),x81572))+P1(f317(f317(f225(x81571),f2(x81571)),x81573))+~P1(f317(f317(f225(x81571),f317(f317(f281(x81571),x81574),x81572)),x81573))
% 92.29/92.11 [8209]~E(x82091,f317(f317(f74(a1),f317(f317(f75(a1),x82092),x82093)),x82094))+~P1(f317(f317(f224(a1),f2(a1)),x82094))+~P1(f317(f317(f225(a1),f2(a1)),x82092))+~P1(f317(f317(f225(a1),x82094),x82092))+P1(f317(f45(x82091,x82092),f317(f317(f242(a1,a1),x82093),x82094)))
% 92.29/92.11 [8326]~P63(x83261)+P1(f317(f317(f225(x83261),x83262),f2(x83261)))+~P1(f317(f317(f224(x83261),f2(x83261)),x83264))+~P1(f317(f317(f224(x83261),x83263),f317(f317(f75(x83261),x83264),x83262)))+P1(f317(f317(f224(x83261),f317(f317(f281(x83261),x83263),x83262)),x83264))
% 92.29/92.11 [8327]~P63(x83271)+P1(f317(f317(f225(x83271),x83272),f2(x83271)))+~P1(f317(f317(f225(x83271),f2(x83271)),x83274))+~P1(f317(f317(f225(x83271),x83273),f317(f317(f75(x83271),x83274),x83272)))+P1(f317(f317(f225(x83271),f317(f317(f281(x83271),x83273),x83272)),x83274))
% 92.29/92.11 [8412]~P63(x84121)+P1(f317(f317(f225(x84121),x84122),f2(x84121)))+~P1(f317(f317(f224(x84121),x84123),f2(x84121)))+P1(f317(f317(f224(x84121),x84123),f317(f317(f281(x84121),x84124),x84122)))+~P1(f317(f317(f224(x84121),f317(f317(f75(x84121),x84123),x84122)),x84124))
% 92.29/92.11 [8413]~P63(x84131)+P1(f317(f317(f225(x84131),x84132),f2(x84131)))+~P1(f317(f317(f225(x84131),x84133),f2(x84131)))+P1(f317(f317(f225(x84131),x84133),f317(f317(f281(x84131),x84134),x84132)))+~P1(f317(f317(f225(x84131),f317(f317(f75(x84131),x84133),x84132)),x84134))
% 92.29/92.11 [8565]~P63(x85651)+~P1(f317(f317(f225(x85651),x85652),f2(x85651)))+P1(f317(f317(f225(x85651),f2(x85651)),x85652))+~P1(f317(f317(f224(x85651),f317(f317(f281(x85651),x85654),x85652)),x85653))+P1(f317(f317(f224(x85651),f317(f317(f75(x85651),x85653),x85652)),x85654))
% 92.29/92.11 [8566]~P63(x85661)+~P1(f317(f317(f225(x85661),x85662),f2(x85661)))+P1(f317(f317(f225(x85661),f2(x85661)),x85662))+~P1(f317(f317(f224(x85661),f317(f317(f75(x85661),x85664),x85662)),x85663))+P1(f317(f317(f224(x85661),f317(f317(f281(x85661),x85663),x85662)),x85664))
% 92.29/92.11 [8567]~P63(x85671)+~P1(f317(f317(f225(x85671),x85672),f2(x85671)))+P1(f317(f317(f225(x85671),f2(x85671)),x85672))+~P1(f317(f317(f225(x85671),f317(f317(f281(x85671),x85674),x85672)),x85673))+P1(f317(f317(f225(x85671),f317(f317(f75(x85671),x85673),x85672)),x85674))
% 92.29/92.11 [8568]~P63(x85681)+~P1(f317(f317(f225(x85681),x85682),f2(x85681)))+P1(f317(f317(f225(x85681),f2(x85681)),x85682))+~P1(f317(f317(f225(x85681),f317(f317(f75(x85681),x85684),x85682)),x85683))+P1(f317(f317(f225(x85681),f317(f317(f281(x85681),x85683),x85682)),x85684))
% 92.29/92.11 [8584]~P63(x85841)+~P1(f317(f317(f224(x85841),f2(x85841)),x85844))+P1(f317(f317(f225(x85841),f2(x85841)),x85842))+~P1(f317(f317(f224(x85841),f317(f317(f75(x85841),x85844),x85842)),x85843))+P1(f317(f317(f224(x85841),f317(f317(f281(x85841),x85843),x85842)),x85844))
% 92.29/92.11 [8585]~P63(x85851)+~P1(f317(f317(f225(x85851),f2(x85851)),x85854))+P1(f317(f317(f225(x85851),f2(x85851)),x85852))+~P1(f317(f317(f225(x85851),f317(f317(f75(x85851),x85854),x85852)),x85853))+P1(f317(f317(f225(x85851),f317(f317(f281(x85851),x85853),x85852)),x85854))
% 92.29/92.11 [8638]~P93(x86381)+~P63(x86381)+~P1(f317(f317(f225(x86381),f2(x86381)),x86384))+~P1(f317(f317(f224(x86381),f317(f317(f281(x86381),x86382),x86384)),f317(f94(x86381),x86383)))+P1(f317(f317(f224(x86381),x86382),f317(f317(f75(x86381),f317(f94(x86381),x86383)),x86384)))
% 92.29/92.11 [8639]~P93(x86391)+~P63(x86391)+~P1(f317(f317(f225(x86391),f2(x86391)),x86394))+~P1(f317(f317(f225(x86391),f317(f317(f281(x86391),x86392),x86394)),f317(f94(x86391),x86393)))+P1(f317(f317(f225(x86391),x86392),f317(f317(f75(x86391),f317(f94(x86391),x86393)),x86394)))
% 92.29/92.11 [8645]~P93(x86451)+~P63(x86451)+~P1(f317(f317(f225(x86451),f2(x86451)),x86453))+P1(f317(f317(f224(x86451),f317(f317(f281(x86451),x86452),x86453)),f317(f94(x86451),x86454)))+~P1(f317(f317(f224(x86451),x86452),f317(f317(f75(x86451),f317(f94(x86451),x86454)),x86453)))
% 92.29/92.11 [8646]~P93(x86461)+~P63(x86461)+~P1(f317(f317(f225(x86461),f2(x86461)),x86463))+P1(f317(f317(f225(x86461),f317(f317(f281(x86461),x86462),x86463)),f317(f94(x86461),x86464)))+~P1(f317(f317(f225(x86461),x86462),f317(f317(f75(x86461),f317(f94(x86461),x86464)),x86463)))
% 92.29/92.11 [8661]~P63(x86611)+~P1(f317(f317(f225(x86611),x86614),f2(x86611)))+~P1(f317(f317(f224(x86611),x86613),f317(f317(f75(x86611),x86612),x86614)))+P1(f317(f317(f224(x86611),x86612),f317(f317(f281(x86611),x86613),x86614)))+~P1(f317(f317(f224(x86611),f317(f317(f75(x86611),x86612),x86614)),x86613))
% 92.29/92.11 [8662]~P63(x86621)+~P1(f317(f317(f224(x86621),x86622),f2(x86621)))+~P1(f317(f317(f224(x86621),x86623),f317(f317(f75(x86621),x86622),x86624)))+P1(f317(f317(f224(x86621),x86622),f317(f317(f281(x86621),x86623),x86624)))+~P1(f317(f317(f224(x86621),f317(f317(f75(x86621),x86622),x86624)),x86623))
% 92.29/92.11 [8663]~P63(x86631)+~P1(f317(f317(f225(x86631),x86634),f2(x86631)))+~P1(f317(f317(f225(x86631),x86633),f317(f317(f75(x86631),x86632),x86634)))+P1(f317(f317(f225(x86631),x86632),f317(f317(f281(x86631),x86633),x86634)))+~P1(f317(f317(f225(x86631),f317(f317(f75(x86631),x86632),x86634)),x86633))
% 92.29/92.11 [8664]~P63(x86641)+~P1(f317(f317(f225(x86641),x86642),f2(x86641)))+~P1(f317(f317(f225(x86641),x86643),f317(f317(f75(x86641),x86642),x86644)))+P1(f317(f317(f225(x86641),x86642),f317(f317(f281(x86641),x86643),x86644)))+~P1(f317(f317(f225(x86641),f317(f317(f75(x86641),x86642),x86644)),x86643))
% 92.29/92.11 [8713]~P93(x87131)+~P63(x87131)+~P1(f317(f317(f225(x87131),f2(x87131)),f317(f94(x87131),x87133)))+~P1(f317(f317(f224(x87131),x87132),f317(f317(f281(x87131),x87134),f317(f94(x87131),x87133))))+P1(f317(f317(f224(x87131),f317(f317(f75(x87131),x87132),f317(f94(x87131),x87133))),x87134))
% 92.29/92.11 [8714]~P93(x87141)+~P63(x87141)+~P1(f317(f317(f225(x87141),f2(x87141)),f317(f94(x87141),x87143)))+~P1(f317(f317(f224(x87141),x87142),f317(f317(f75(x87141),x87144),f317(f94(x87141),x87143))))+P1(f317(f317(f224(x87141),f317(f317(f281(x87141),x87142),f317(f94(x87141),x87143))),x87144))
% 92.29/92.11 [8715]~P93(x87151)+~P63(x87151)+~P1(f317(f317(f225(x87151),f2(x87151)),f317(f94(x87151),x87153)))+~P1(f317(f317(f225(x87151),x87152),f317(f317(f281(x87151),x87154),f317(f94(x87151),x87153))))+P1(f317(f317(f225(x87151),f317(f317(f75(x87151),x87152),f317(f94(x87151),x87153))),x87154))
% 92.29/92.11 [8716]~P93(x87161)+~P63(x87161)+~P1(f317(f317(f225(x87161),f2(x87161)),f317(f94(x87161),x87163)))+~P1(f317(f317(f225(x87161),x87162),f317(f317(f75(x87161),x87164),f317(f94(x87161),x87163))))+P1(f317(f317(f225(x87161),f317(f317(f281(x87161),x87162),f317(f94(x87161),x87163))),x87164))
% 92.29/92.11 [8786]~P63(x87861)+~P1(f317(f317(f225(x87861),x87863),f2(x87861)))+~P1(f317(f317(f224(x87861),x87862),f317(f317(f75(x87861),x87864),x87863)))+~P1(f317(f317(f224(x87861),f317(f317(f75(x87861),x87864),x87863)),x87862))+P1(f317(f317(f224(x87861),f317(f317(f281(x87861),x87862),x87863)),x87864))
% 92.29/92.11 [8787]~P63(x87871)+~P1(f317(f317(f225(x87871),x87873),f2(x87871)))+~P1(f317(f317(f225(x87871),x87872),f317(f317(f75(x87871),x87874),x87873)))+~P1(f317(f317(f225(x87871),f317(f317(f75(x87871),x87874),x87873)),x87872))+P1(f317(f317(f225(x87871),f317(f317(f281(x87871),x87872),x87873)),x87874))
% 92.29/92.11 [8804]~P63(x88041)+~P1(f317(f317(f224(x88041),f2(x88041)),x88044))+~P1(f317(f317(f224(x88041),x88042),f317(f317(f75(x88041),x88044),x88043)))+~P1(f317(f317(f224(x88041),f317(f317(f75(x88041),x88044),x88043)),x88042))+P1(f317(f317(f224(x88041),f317(f317(f281(x88041),x88042),x88043)),x88044))
% 92.29/92.11 [8805]~P63(x88051)+~P1(f317(f317(f225(x88051),f2(x88051)),x88054))+~P1(f317(f317(f225(x88051),x88052),f317(f317(f75(x88051),x88054),x88053)))+~P1(f317(f317(f225(x88051),f317(f317(f75(x88051),x88054),x88053)),x88052))+P1(f317(f317(f225(x88051),f317(f317(f281(x88051),x88052),x88053)),x88054))
% 92.29/92.11 [8839]~P93(x88391)+~P63(x88391)+~P1(f317(f317(f225(x88391),f2(x88391)),f317(f94(x88391),x88394)))+P1(f317(f317(f224(x88391),x88392),f317(f317(f75(x88391),x88393),f317(f94(x88391),x88394))))+~P1(f317(f317(f224(x88391),f317(f317(f281(x88391),x88392),f317(f94(x88391),x88394))),x88393))
% 92.29/92.11 [8840]~P93(x88401)+~P63(x88401)+~P1(f317(f317(f225(x88401),f2(x88401)),f317(f94(x88401),x88404)))+P1(f317(f317(f224(x88401),x88402),f317(f317(f281(x88401),x88403),f317(f94(x88401),x88404))))+~P1(f317(f317(f224(x88401),f317(f317(f75(x88401),x88402),f317(f94(x88401),x88404))),x88403))
% 92.29/92.11 [8841]~P93(x88411)+~P63(x88411)+~P1(f317(f317(f225(x88411),f2(x88411)),f317(f94(x88411),x88414)))+P1(f317(f317(f225(x88411),x88412),f317(f317(f75(x88411),x88413),f317(f94(x88411),x88414))))+~P1(f317(f317(f225(x88411),f317(f317(f281(x88411),x88412),f317(f94(x88411),x88414))),x88413))
% 92.29/92.11 [8842]~P93(x88421)+~P63(x88421)+~P1(f317(f317(f225(x88421),f2(x88421)),f317(f94(x88421),x88424)))+P1(f317(f317(f225(x88421),x88422),f317(f317(f281(x88421),x88423),f317(f94(x88421),x88424))))+~P1(f317(f317(f225(x88421),f317(f317(f75(x88421),x88422),f317(f94(x88421),x88424))),x88423))
% 92.29/92.11 [8988]E(f317(f317(f23(a1),f396(x89881,x89882,x89883,x89884)),f397(x89881,x89882,x89883,x89884)),x89884)+~P1(f317(f317(f225(a1),f2(a1)),x89883))+~P1(f317(f317(f319(a1),x89882),x89881))+~P1(f317(f317(f225(a1),x89884),x89882))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x89884),x89883)),x89882))
% 92.29/92.11 [9059]~P1(f317(x90591,x90592))+~P1(f317(f317(f224(a1),f2(a1)),x90593))+~P1(f317(f317(f225(a1),f2(a1)),x90594))+~P1(f317(x90591,f317(f317(f23(a1),f325(x90593,x90591,x90594)),x90594)))+P1(f317(x90591,f317(f317(f23(a1),x90592),f317(f317(f75(a1),x90593),x90594))))
% 92.29/92.11 [9060]~P1(f317(x90601,x90602))+~P1(f317(f317(f224(a1),f2(a1)),x90603))+~P1(f317(f317(f225(a1),f2(a1)),x90604))+~P1(f317(x90601,f317(f317(f74(a1),f352(x90603,x90601,x90604)),x90604)))+P1(f317(x90601,f317(f317(f74(a1),x90602),f317(f317(f75(a1),x90603),x90604))))
% 92.29/92.11 [9212]~P1(f317(f317(f225(a1),f2(a1)),x92123))+~P1(f317(f317(f319(a1),x92122),x92121))+~P1(f317(f317(f225(a1),x92124),x92122))+P1(f317(f317(f319(a1),f396(x92121,x92122,x92123,x92124)),x92121))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92124),x92123)),x92122))
% 92.29/92.11 [9231]E(f317(f317(f23(a1),f382(x92311,x92312,x92313,x92314)),f383(x92311,x92312,x92313,x92314)),x92314)+~P1(f317(f317(f225(a1),f2(a1)),x92313))+~P1(f317(f317(f224(a1),x92314),x92312))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x92312),f72(a1))),x92311))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x92314),x92313)),x92312))
% 92.29/92.11 [9259]~P1(f317(f317(f225(a1),f2(a1)),x92592))+~P1(f317(f317(f319(a1),x92593),x92594))+~P1(f317(f317(f225(a1),x92591),x92593))+P1(f317(f317(f319(a1),f397(x92594,x92593,x92592,x92591)),f293(a1,f72(a1),x92592)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92591),x92592)),x92593))
% 92.29/92.11 [9350]~P1(f317(f317(f225(a1),f2(a1)),x93503))+~P1(f317(f317(f224(a1),x93504),x93502))+P1(f317(f317(f319(a1),f382(x93501,x93502,x93503,x93504)),x93501))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93502),f72(a1))),x93501))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93504),x93503)),x93502))
% 92.29/92.11 [9398]~P1(f317(f317(f225(a1),f2(a1)),x93982))+~P1(f317(f317(f224(a1),x93981),x93983))+P1(f317(f317(f319(a1),f383(x93984,x93983,x93982,x93981)),f293(a1,f72(a1),x93982)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93983),f72(a1))),x93984))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93981),x93982)),x93983))
% 92.29/92.11 [9700]~P36(x97001,x97003)+~P26(x97001,x97004)+P36(x97001,f317(f317(f91(f904(f903(x97001,x97001),a893)),x97002),x97003))+~P1(f317(f317(f224(f904(f903(x97001,x97001),a893)),x97002),f317(f241(f904(f903(x97001,x97001),a893),f904(f903(x97001,x97001),a893)),x97004)))+~P1(f317(f317(f224(f904(f903(x97001,x97001),a893)),x97003),f317(f246(f904(f903(x97001,x97001),a893),f904(f903(x97001,x97001),a893)),x97004)))
% 92.29/92.11 [10087]~P18(x100872,x100874,x100873)+E(x100871,f178(f904(x100872,a893)))+~P1(f317(f29(x100872),x100871))+P1(f317(f317(f319(x100872),f317(x100873,x100871)),x100871))+~P1(f317(f317(f319(x100872),f317(f317(x100874,f338(x100871,x100873,x100874,x100872)),f347(x100871,x100873,x100874,x100872))),f317(f317(f299(x100872),f338(x100871,x100873,x100874,x100872)),f317(f317(f299(x100872),f347(x100871,x100873,x100874,x100872)),f178(f904(x100872,a893))))))
% 92.29/92.11 [8827]~P93(x88271)+~P63(x88271)+~P1(f317(f317(f225(x88271),f2(x88271)),x88273))+~P1(f317(f317(f224(x88271),f317(f94(x88271),x88272)),f317(f317(f281(x88271),x88274),x88273)))+P1(f317(f317(f224(x88271),f317(f317(f75(x88271),f317(f94(x88271),x88272)),x88273)),x88274))
% 92.29/92.11 [8828]~P93(x88281)+~P63(x88281)+~P1(f317(f317(f225(x88281),f2(x88281)),x88283))+~P1(f317(f317(f225(x88281),f317(f94(x88281),x88282)),f317(f317(f281(x88281),x88284),x88283)))+P1(f317(f317(f225(x88281),f317(f317(f75(x88281),f317(f94(x88281),x88282)),x88283)),x88284))
% 92.29/92.11 [8991]~P93(x89911)+~P63(x89911)+~P1(f317(f317(f225(x89911),f2(x89911)),x89914))+P1(f317(f317(f224(x89911),f317(f94(x89911),x89912)),f317(f317(f281(x89911),x89913),x89914)))+~P1(f317(f317(f224(x89911),f317(f317(f75(x89911),f317(f94(x89911),x89912)),x89914)),x89913))
% 92.29/92.11 [8992]~P93(x89921)+~P63(x89921)+~P1(f317(f317(f225(x89921),f2(x89921)),x89924))+P1(f317(f317(f225(x89921),f317(f94(x89921),x89922)),f317(f317(f281(x89921),x89923),x89924)))+~P1(f317(f317(f225(x89921),f317(f317(f75(x89921),f317(f94(x89921),x89922)),x89924)),x89923))
% 92.29/92.11 [10012]~P108(x100122)+~P60(x100121)+~P1(f317(f317(f224(f904(x100121,x100122)),x100123),x100124))+P1(f317(f317(f225(f904(x100121,x100122)),x100123),x100124))+~P1(f317(f52(x100121),f317(f317(f8(a893,a893,x100121),a312),f317(f317(f18(x100121,x100122,a893),f317(f317(f8(x100122,f904(x100122,a893),x100121),a314),x100123)),x100124))))
% 92.29/92.11 [9615]~P54(x96151,x96151,x96154)+P1(f317(f317(f319(f903(x96151,x96151)),f317(f317(f242(x96151,x96151),x96152),x96153)),f297(x96151,x96154)))+P1(f317(f317(f319(f903(x96151,x96151)),f317(f317(f242(x96151,x96151),x96153),x96152)),f297(x96151,x96154)))+~P1(f317(f317(f319(f903(x96151,x96151)),f317(f317(f242(x96151,x96151),x96155),x96152)),f297(x96151,x96154)))+~P1(f317(f317(f319(f903(x96151,x96151)),f317(f317(f242(x96151,x96151),x96155),x96153)),f297(x96151,x96154)))
% 92.29/92.11 [5692]E(x56921,f2(a897))+~E(f317(f30(x56922),x56925),x56921)+E(f317(f30(x56922),x56923),f317(a102,x56921))+~E(x56923,f317(f317(f299(x56922),x56924),x56925))+P1(f317(f317(f319(x56922),x56924),x56925))
% 92.29/92.11 [5814]~P62(x58142)+E(x58141,f2(x58142))+E(x58143,f2(x58142))+~E(f317(f317(f281(x58142),x58144),x58143),f317(f317(f281(x58142),x58145),x58141))+E(f317(f317(f75(x58142),x58144),x58141),f317(f317(f75(x58142),x58145),x58143))
% 92.29/92.11 [5815]~P62(x58152)+E(x58151,f2(x58152))+E(x58153,f2(x58152))+~E(f317(f317(f75(x58152),x58154),x58153),f317(f317(f75(x58152),x58155),x58151))+E(f317(f317(f281(x58152),x58154),x58151),f317(f317(f281(x58152),x58155),x58153))
% 92.29/92.11 [5893]~E(f317(f30(x58931),x58935),x58933)+~E(x58935,f178(f904(x58931,a893)))+E(f317(f30(x58931),x58932),f317(a102,x58933))+~E(x58932,f317(f317(f299(x58931),x58934),x58935))+P1(f317(f317(f319(x58931),x58934),x58935))
% 92.29/92.11 [6134]~P119(x61342)+~E(f317(x61343,x61345),f2(x61342))+E(f317(f317(f9(x61341,x61342),x61343),x61344),f2(x61342))+~P1(f317(f29(x61341),x61344))+~P1(f317(f317(f319(x61341),x61345),x61344))
% 92.29/92.11 [6516]~P107(x65163)+E(x65161,x65162)+~E(f317(f292(x65163,x65164),x65161),f317(f292(x65163,x65165),x65162))+~P1(f317(f317(f225(x65163),x65165),x65162))+~P1(f317(f317(f225(x65163),x65164),x65161))
% 92.29/92.11 [6517]~P107(x65173)+E(x65171,x65172)+~E(f317(f292(x65173,x65171),x65174),f317(f292(x65173,x65172),x65175))+~P1(f317(f317(f225(x65173),x65172),x65175))+~P1(f317(f317(f225(x65173),x65171),x65174))
% 92.29/92.11 [6518]~P107(x65183)+E(x65181,x65182)+~E(f317(f292(x65183,x65184),x65181),f317(f292(x65183,x65185),x65182))+~P1(f317(f317(f225(x65183),x65185),x65182))+~P1(f317(f317(f225(x65183),x65184),x65181))
% 92.29/92.11 [6519]~P107(x65193)+E(x65191,x65192)+~E(f317(f292(x65193,x65191),x65194),f317(f292(x65193,x65192),x65195))+~P1(f317(f317(f225(x65193),x65192),x65195))+~P1(f317(f317(f225(x65193),x65191),x65194))
% 92.29/92.11 [7600]~P107(x76001)+~P13(x76001,f317(f317(f124(x76001),x76004),x76005))+~P1(f317(f317(f319(x76001),x76003),f317(f162(x76001),x76005)))+~P1(f317(f317(f319(x76001),x76002),f317(f162(x76001),x76004)))+P1(f317(f317(f224(x76001),x76002),x76003))
% 92.29/92.11 [8698]~P108(x86981)+~P1(f317(f317(f225(f904(x86981,a893)),f293(x86981,x86985,x86982)),f293(x86981,x86984,x86983)))+~P1(f317(f317(f224(x86981),x86985),x86982))+P1(f317(f317(f225(x86981),x86982),x86983))+P1(f317(f317(f225(x86981),x86984),x86985))
% 92.29/92.11 [10130]~P17(x101302,x101305,x101303)+E(x101301,f178(f904(x101302,a893)))+~E(f317(f317(x101305,f317(x101304,f381(x101301,x101304,x101303,x101305,x101302))),f317(x101304,f391(x101301,x101304,x101303,x101305,x101302))),f317(x101304,f317(f317(x101305,f381(x101301,x101304,x101303,x101305,x101302)),f391(x101301,x101304,x101303,x101305,x101302))))+E(f317(x101303,f317(f300(x101302,x101302,x101304),x101301)),f317(x101304,f317(x101303,x101301)))+~P1(f317(f29(x101302),x101301))
% 92.29/92.11 [6515]~P18(x65152,x65155,x65153)+E(x65151,f178(f904(x65152,a893)))+~P1(f317(f29(x65152),x65151))+E(f317(x65153,f317(f317(f299(x65152),x65154),x65151)),f317(f317(x65155,x65154),f317(x65153,x65151)))+P1(f317(f317(f319(x65152),x65154),x65151))
% 92.29/92.11 [7361]~P17(x73612,x73613,x73614)+E(f317(f317(x73613,f317(x73614,x73611)),f317(x73614,x73615)),f317(x73614,x73615))+E(x73611,f178(f904(x73612,a893)))+~P1(f317(f29(x73612),x73615))+~P1(f317(f317(f224(f904(x73612,a893)),x73611),x73615))
% 92.29/92.11 [7738]~P18(x77384,x77385,x77381)+E(f317(x77381,x77382),x77383)+~P1(f317(f29(x77384),x77382))+~E(f317(f317(f23(f904(x77384,a893)),x77382),f317(f317(f299(x77384),x77383),f178(f904(x77384,a893)))),f178(f904(x77384,a893)))+~P1(f317(f317(f319(x77384),x77383),x77382))
% 92.29/92.11 [8619]~P76(x86191)+~P121(x86191)+~P1(f317(f29(x86192),x86195))+P1(f317(f317(f277(x86191),f317(f317(f9(x86192,x86191),x86193),x86194)),f317(f317(f9(x86192,x86191),x86193),x86195)))+~P1(f317(f317(f224(f904(x86192,a893)),x86194),x86195))
% 92.29/92.11 [8668]E(x86681,x86682)+~P8(x86683,x86684,x86685)+E(f317(f317(f92(f904(x86683,a893)),x86681),x86682),f178(f904(x86683,a893)))+~P1(f317(f317(f319(f904(x86683,a893)),x86682),f317(f317(f56(x86683),x86684),x86685)))+~P1(f317(f317(f319(f904(x86683,a893)),x86681),f317(f317(f56(x86683),x86684),x86685)))
% 92.29/92.11 [9137]~P24(x91371,x91373,x91375,x91372)+~P1(f317(f29(x91373),x91374))+~P1(f317(f29(x91371),x91372))+P1(f317(f317(f224(a897),f317(f30(x91371),x91372)),f317(f30(x91373),x91374)))+~P1(f317(f317(f224(f904(x91373,a893)),f317(f300(x91371,x91373,x91375),x91372)),x91374))
% 92.29/92.11 [9481]~P76(x94812)+~E(f317(x94813,f354(x94813,x94814,x94815,x94811,x94812)),f72(x94812))+E(f317(f317(f9(x94811,x94812),x94813),x94814),f317(f317(f9(x94811,x94812),x94813),x94815))+~P1(f317(f29(x94811),x94815))+~P1(f317(f317(f224(f904(x94811,a893)),x94814),x94815))
% 92.29/92.11 [9482]~P76(x94822)+~E(f317(x94823,f364(x94823,x94824,x94825,x94821,x94822)),f72(x94822))+E(f317(f317(f9(x94821,x94822),x94823),x94824),f317(f317(f9(x94821,x94822),x94823),x94825))+~P1(f317(f29(x94821),x94825))+~P1(f317(f317(f224(f904(x94821,a893)),x94824),x94825))
% 92.29/92.11 [9483]~P77(x94832)+~E(f317(x94833,f451(x94833,x94834,x94835,x94831,x94832)),f2(x94832))+E(f317(f317(f6(x94831,x94832),x94833),x94834),f317(f317(f6(x94831,x94832),x94833),x94835))+~P1(f317(f29(x94831),x94835))+~P1(f317(f317(f224(f904(x94831,a893)),x94834),x94835))
% 92.29/92.11 [9484]~P77(x94842)+~E(f317(x94843,f453(x94843,x94844,x94845,x94841,x94842)),f2(x94842))+E(f317(f317(f6(x94841,x94842),x94843),x94844),f317(f317(f6(x94841,x94842),x94843),x94845))+~P1(f317(f29(x94841),x94845))+~P1(f317(f317(f224(f904(x94841,a893)),x94844),x94845))
% 92.29/92.11 [9965]~P88(x99651)+~P1(f317(f29(x99652),x99655))+~P1(f317(f317(f224(x99651),f2(x99651)),f317(x99653,f419(x99653,x99654,x99655,x99652,x99651))))+P1(f317(f317(f224(x99651),f317(f317(f6(x99652,x99651),x99653),x99654)),f317(f317(f6(x99652,x99651),x99653),x99655)))+~P1(f317(f317(f224(f904(x99652,a893)),x99654),x99655))
% 92.29/92.11 [7597]E(x75971,f2(a897))+P1(f317(x75972,x75973))+~E(x75974,f317(f317(f74(a897),f317(f317(f75(a897),x75971),x75973)),x75975))+~P1(f317(f317(f225(a897),x75975),x75971))+~P1(f317(x75972,f317(f317(f31(a897),x75974),x75971)))
% 92.29/92.11 [7676]E(x76761,f2(a897))+P1(f317(x76762,x76763))+~P1(f317(x76762,f41(a897,x76764,x76761)))+~E(x76764,f317(f317(f74(a897),f317(f317(f75(a897),x76761),x76765)),x76763))+~P1(f317(f317(f225(a897),x76763),x76761))
% 92.29/92.11 [7970]~P62(x79703)+E(f317(x79701,x79702),f2(x79703))+~P1(f317(f29(x79704),x79705))+E(f317(f317(f9(x79704,x79703),x79701),f317(f317(f23(f904(x79704,a893)),x79705),f317(f317(f299(x79704),x79702),f178(f904(x79704,a893))))),f317(f317(f9(x79704,x79703),x79701),x79705))+P1(f317(f317(f319(x79704),x79702),x79705))
% 92.29/92.11 [8367]~P76(x83671)+~P1(f317(f29(x83672),x83675))+~P1(f317(f29(x83672),x83674))+~E(f317(f317(f92(f904(x83672,a893)),x83674),x83675),f178(f904(x83672,a893)))+E(f317(f317(f75(x83671),f317(f317(f9(x83672,x83671),x83673),x83674)),f317(f317(f9(x83672,x83671),x83673),x83675)),f317(f317(f9(x83672,x83671),x83673),f317(f317(f91(f904(x83672,a893)),x83674),x83675)))
% 92.29/92.11 [8368]~P76(x83681)+~P1(f317(f29(x83682),x83685))+~P1(f317(f29(x83682),x83684))+~E(f317(f317(f92(f904(x83682,a893)),x83684),x83685),f178(f904(x83682,a893)))+E(f317(f317(f75(x83681),f317(f317(f9(x83682,x83681),x83683),x83684)),f317(f317(f9(x83682,x83681),x83683),x83685)),f317(f317(f9(x83682,x83681),x83683),f317(f317(f91(f904(x83682,a893)),x83684),x83685)))
% 92.29/92.11 [8369]~P77(x83691)+~P1(f317(f29(x83692),x83695))+~P1(f317(f29(x83692),x83694))+~E(f317(f317(f92(f904(x83692,a893)),x83694),x83695),f178(f904(x83692,a893)))+E(f317(f317(f74(x83691),f317(f317(f6(x83692,x83691),x83693),x83694)),f317(f317(f6(x83692,x83691),x83693),x83695)),f317(f317(f6(x83692,x83691),x83693),f317(f317(f91(f904(x83692,a893)),x83694),x83695)))
% 92.29/92.11 [8468]~P62(x84683)+E(f317(x84681,x84682),f2(x84683))+~P1(f317(f29(x84684),x84685))+E(f317(f317(f9(x84684,x84683),x84681),f317(f317(f23(f904(x84684,a893)),x84685),f317(f317(f299(x84684),x84682),f178(f904(x84684,a893))))),f317(f317(f281(x84683),f317(f317(f9(x84684,x84683),x84681),x84685)),f317(x84681,x84682)))+~P1(f317(f317(f319(x84684),x84682),x84685))
% 92.29/92.11 [9006]~P8(x90061,x90065,x90064)+~E(f317(f275(x90061,x90061,x90064),f317(f317(f299(x90061),x90062),f178(f904(x90061,a893)))),f317(f275(x90061,x90061,x90064),f317(f317(f299(x90061),x90063),f178(f904(x90061,a893)))))+~P1(f317(f317(f319(x90061),x90063),x90065))+~P1(f317(f317(f319(x90061),x90062),x90065))+P1(f317(f317(f319(f903(x90061,x90061)),f317(f317(f242(x90061,x90061),x90062),x90063)),x90064))
% 92.29/92.11 [9007]~P8(x90071,x90075,x90074)+~E(f317(f275(x90071,x90071,x90074),f317(f317(f299(x90071),x90072),f178(f904(x90071,a893)))),f317(f275(x90071,x90071,x90074),f317(f317(f299(x90071),x90073),f178(f904(x90071,a893)))))+~P1(f317(f317(f319(x90071),x90073),x90075))+~P1(f317(f317(f319(x90071),x90072),x90075))+P1(f317(f317(f319(f903(x90071,x90071)),f317(f317(f242(x90071,x90071),x90072),x90073)),x90074))
% 92.29/92.11 [9099]~P8(x90991,x90995,x90992)+E(f317(f275(x90991,x90991,x90992),f317(f317(f299(x90991),x90993),f178(f904(x90991,a893)))),f317(f275(x90991,x90991,x90992),f317(f317(f299(x90991),x90994),f178(f904(x90991,a893)))))+~P1(f317(f317(f319(x90991),x90994),x90995))+~P1(f317(f317(f319(x90991),x90993),x90995))+~P1(f317(f317(f319(f903(x90991,x90991)),f317(f317(f242(x90991,x90991),x90993),x90994)),x90992))
% 92.29/92.11 [9189]~P8(x91891,x91895,x91894)+~E(f317(f317(f56(x91891),f317(f317(f299(x91891),x91892),f178(f904(x91891,a893)))),x91894),f317(f317(f56(x91891),f317(f317(f299(x91891),x91893),f178(f904(x91891,a893)))),x91894))+~P1(f317(f317(f319(x91891),x91893),x91895))+~P1(f317(f317(f319(x91891),x91892),x91895))+P1(f317(f317(f319(f903(x91891,x91891)),f317(f317(f242(x91891,x91891),x91892),x91893)),x91894))
% 92.29/92.11 [9211]~P8(x92111,x92115,x92113)+E(f317(f317(f56(x92111),f317(f317(f299(x92111),x92112),f178(f904(x92111,a893)))),x92113),f317(f317(f56(x92111),f317(f317(f299(x92111),x92114),f178(f904(x92111,a893)))),x92113))+~P1(f317(f317(f319(x92111),x92114),x92115))+~P1(f317(f317(f319(x92111),x92112),x92115))+~P1(f317(f317(f319(f903(x92111,x92111)),f317(f317(f242(x92111,x92111),x92112),x92114)),x92113))
% 92.29/92.11 [9510]~P76(x95101)+~P1(f317(f29(x95102),x95105))+~P1(f317(f29(x95102),x95104))+~E(f317(f317(f92(f904(x95102,a893)),x95104),x95105),f178(f904(x95102,a893)))+E(f317(f317(f75(x95101),f317(f317(f317(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),x95104)),f317(f317(f317(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),x95105)),f317(f317(f317(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),f317(f317(f91(f904(x95102,a893)),x95104),x95105)))
% 92.29/92.11 [9521]~P76(x95211)+~E(f317(x95213,f440(x95213,x95215,x95214,x95212,x95211)),f72(x95211))+~P1(f317(f29(x95212),x95214))+~P1(f317(f29(x95212),x95215))+E(f317(f317(f75(x95211),f317(f317(f9(x95212,x95211),x95213),x95214)),f317(f317(f9(x95212,x95211),x95213),x95215)),f317(f317(f9(x95212,x95211),x95213),f317(f317(f91(f904(x95212,a893)),x95214),x95215)))
% 92.29/92.11 [9522]~P76(x95221)+~E(f317(x95223,f443(x95223,x95225,x95224,x95222,x95221)),f72(x95221))+~P1(f317(f29(x95222),x95224))+~P1(f317(f29(x95222),x95225))+E(f317(f317(f75(x95221),f317(f317(f9(x95222,x95221),x95223),x95224)),f317(f317(f9(x95222,x95221),x95223),x95225)),f317(f317(f9(x95222,x95221),x95223),f317(f317(f91(f904(x95222,a893)),x95224),x95225)))
% 92.29/92.11 [9523]~P77(x95231)+~E(f317(x95233,f444(x95233,x95235,x95234,x95232,x95231)),f2(x95231))+~P1(f317(f29(x95232),x95234))+~P1(f317(f29(x95232),x95235))+E(f317(f317(f74(x95231),f317(f317(f6(x95232,x95231),x95233),x95234)),f317(f317(f6(x95232,x95231),x95233),x95235)),f317(f317(f6(x95232,x95231),x95233),f317(f317(f91(f904(x95232,a893)),x95234),x95235)))
% 92.29/92.11 [9524]~P77(x95241)+~E(f317(x95243,f445(x95243,x95245,x95244,x95242,x95241)),f2(x95241))+~P1(f317(f29(x95242),x95244))+~P1(f317(f29(x95242),x95245))+E(f317(f317(f74(x95241),f317(f317(f6(x95242,x95241),x95243),x95244)),f317(f317(f6(x95242,x95241),x95243),x95245)),f317(f317(f6(x95242,x95241),x95243),f317(f317(f91(f904(x95242,a893)),x95244),x95245)))
% 92.29/92.11 [9743]~P76(x97431)+~E(f317(x97433,f442(x97433,x97435,x97434,x97432,x97431)),f72(x97431))+~P1(f317(f29(x97432),x97434))+~P1(f317(f29(x97432),x97435))+E(f317(f317(f75(x97431),f317(f317(f317(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),x97434)),f317(f317(f317(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),x97435)),f317(f317(f317(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),f317(f317(f91(f904(x97432,a893)),x97434),x97435)))
% 92.29/92.11 [9853]~P76(x98532)+E(f317(f317(f9(x98531,x98532),x98533),x98534),f317(f317(f9(x98531,x98532),x98533),x98535))+~P1(f317(f29(x98531),x98535))+~P1(f317(f317(f224(f904(x98531,a893)),x98534),x98535))+P1(f317(f317(f319(x98531),f354(x98533,x98534,x98535,x98531,x98532)),f317(f317(f23(f904(x98531,a893)),x98535),x98534)))
% 92.29/92.11 [9854]~P76(x98542)+E(f317(f317(f9(x98541,x98542),x98543),x98544),f317(f317(f9(x98541,x98542),x98543),x98545))+~P1(f317(f29(x98541),x98545))+~P1(f317(f317(f224(f904(x98541,a893)),x98544),x98545))+P1(f317(f317(f319(x98541),f364(x98543,x98544,x98545,x98541,x98542)),f317(f317(f23(f904(x98541,a893)),x98545),x98544)))
% 92.29/92.11 [9855]~P77(x98552)+E(f317(f317(f6(x98551,x98552),x98553),x98554),f317(f317(f6(x98551,x98552),x98553),x98555))+~P1(f317(f29(x98551),x98555))+~P1(f317(f317(f224(f904(x98551,a893)),x98554),x98555))+P1(f317(f317(f319(x98551),f451(x98553,x98554,x98555,x98551,x98552)),f317(f317(f23(f904(x98551,a893)),x98555),x98554)))
% 92.29/92.11 [9856]~P77(x98562)+E(f317(f317(f6(x98561,x98562),x98563),x98564),f317(f317(f6(x98561,x98562),x98563),x98565))+~P1(f317(f29(x98561),x98565))+~P1(f317(f317(f224(f904(x98561,a893)),x98564),x98565))+P1(f317(f317(f319(x98561),f453(x98563,x98564,x98565,x98561,x98562)),f317(f317(f23(f904(x98561,a893)),x98565),x98564)))
% 92.29/92.11 [9874]~P76(x98741)+~P1(f317(f29(x98742),x98744))+~P1(f317(f29(x98742),x98745))+E(f317(f317(f75(x98741),f317(f317(f9(x98742,x98741),x98743),x98744)),f317(f317(f9(x98742,x98741),x98743),x98745)),f317(f317(f9(x98742,x98741),x98743),f317(f317(f91(f904(x98742,a893)),x98744),x98745)))+P1(f317(f317(f319(x98742),f440(x98743,x98745,x98744,x98742,x98741)),f317(f317(f92(f904(x98742,a893)),x98744),x98745)))
% 92.29/92.11 [9875]~P76(x98751)+~P1(f317(f29(x98752),x98754))+~P1(f317(f29(x98752),x98755))+E(f317(f317(f75(x98751),f317(f317(f9(x98752,x98751),x98753),x98754)),f317(f317(f9(x98752,x98751),x98753),x98755)),f317(f317(f9(x98752,x98751),x98753),f317(f317(f91(f904(x98752,a893)),x98754),x98755)))+P1(f317(f317(f319(x98752),f443(x98753,x98755,x98754,x98752,x98751)),f317(f317(f92(f904(x98752,a893)),x98754),x98755)))
% 92.29/92.11 [9876]~P77(x98761)+~P1(f317(f29(x98762),x98764))+~P1(f317(f29(x98762),x98765))+E(f317(f317(f74(x98761),f317(f317(f6(x98762,x98761),x98763),x98764)),f317(f317(f6(x98762,x98761),x98763),x98765)),f317(f317(f6(x98762,x98761),x98763),f317(f317(f91(f904(x98762,a893)),x98764),x98765)))+P1(f317(f317(f319(x98762),f444(x98763,x98765,x98764,x98762,x98761)),f317(f317(f92(f904(x98762,a893)),x98764),x98765)))
% 92.29/92.11 [9877]~P77(x98771)+~P1(f317(f29(x98772),x98774))+~P1(f317(f29(x98772),x98775))+E(f317(f317(f74(x98771),f317(f317(f6(x98772,x98771),x98773),x98774)),f317(f317(f6(x98772,x98771),x98773),x98775)),f317(f317(f6(x98772,x98771),x98773),f317(f317(f91(f904(x98772,a893)),x98774),x98775)))+P1(f317(f317(f319(x98772),f445(x98773,x98775,x98774,x98772,x98771)),f317(f317(f92(f904(x98772,a893)),x98774),x98775)))
% 92.29/92.11 [9883]~P88(x98835)+~P1(f317(f29(x98831),x98834))+P1(f317(f317(f224(x98835),f317(f317(f6(x98831,x98835),x98832),x98833)),f317(f317(f6(x98831,x98835),x98832),x98834)))+~P1(f317(f317(f224(f904(x98831,a893)),x98833),x98834))+P1(f317(f317(f319(x98831),f419(x98832,x98833,x98834,x98831,x98835)),f317(f317(f23(f904(x98831,a893)),x98834),x98833)))
% 92.29/92.11 [9927]~P76(x99271)+~P1(f317(f29(x99272),x99274))+~P1(f317(f29(x99272),x99275))+E(f317(f317(f75(x99271),f317(f317(f317(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),x99274)),f317(f317(f317(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),x99275)),f317(f317(f317(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),f317(f317(f91(f904(x99272,a893)),x99274),x99275)))+P1(f317(f317(f319(x99272),f442(x99273,x99275,x99274,x99272,x99271)),f317(f317(f92(f904(x99272,a893)),x99274),x99275)))
% 92.29/92.11 [8877]~P18(x88771,x88774,x88775)+~P1(f317(f29(x88771),x88772))+E(f317(f317(f23(f904(x88771,a893)),x88772),f317(f317(f299(x88771),x88773),f178(f904(x88771,a893)))),f178(f904(x88771,a893)))+~P1(f317(f317(f319(x88771),x88773),x88772))+E(f317(f317(x88774,x88773),f317(x88775,f317(f317(f23(f904(x88771,a893)),x88772),f317(f317(f299(x88771),x88773),f178(f904(x88771,a893)))))),f317(x88775,x88772))
% 92.29/92.11 [8955]~P18(x89551,x89554,x89555)+~P1(f317(f29(x89551),x89553))+~P1(f317(f29(x89551),x89552))+E(f317(f317(f92(f904(x89551,a893)),x89552),x89553),f178(f904(x89551,a893)))+E(f317(f317(x89554,f317(x89555,f317(f317(f91(f904(x89551,a893)),x89552),x89553))),f317(x89555,f317(f317(f92(f904(x89551,a893)),x89552),x89553))),f317(f317(x89554,f317(x89555,x89552)),f317(x89555,x89553)))
% 92.29/92.11 [9526]~P1(f317(f317(f224(a1),x95264),f2(a1)))+~P1(f317(f317(f225(a1),x95263),x95265))+P1(f317(f317(f224(a1),x95261),x95262))+~P1(f317(f317(f225(a1),x95263),x95264))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95263),x95262)),x95265)),f317(f317(f74(a1),f317(f317(f75(a1),x95263),x95261)),x95264)))
% 92.29/92.11 [9528]~P1(f317(f317(f224(a1),f2(a1)),x95285))+P1(f317(f317(f224(a1),x95281),x95282))+~P1(f317(f317(f225(a1),x95283),x95284))+~P1(f317(f317(f225(a1),x95285),x95284))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95284),x95281)),x95285)),f317(f317(f74(a1),f317(f317(f75(a1),x95284),x95282)),x95283)))
% 92.29/92.11 [9652]~P62(x96525)+E(f317(x96521,f441(x96521,x96522,x96523,x96524,x96525)),f2(x96525))+~P1(f317(f29(x96524),x96523))+~P1(f317(f29(x96524),x96522))+E(f317(f317(f281(x96525),f317(f317(f75(x96525),f317(f317(f9(x96524,x96525),x96521),x96523)),f317(f317(f9(x96524,x96525),x96521),x96522))),f317(f317(f9(x96524,x96525),x96521),f317(f317(f92(f904(x96524,a893)),x96523),x96522))),f317(f317(f9(x96524,x96525),x96521),f317(f317(f91(f904(x96524,a893)),x96523),x96522)))
% 92.29/92.11 [9919]~P62(x99191)+~P1(f317(f29(x99192),x99194))+~P1(f317(f29(x99192),x99195))+E(f317(f317(f281(x99191),f317(f317(f75(x99191),f317(f317(f9(x99192,x99191),x99193),x99194)),f317(f317(f9(x99192,x99191),x99193),x99195))),f317(f317(f9(x99192,x99191),x99193),f317(f317(f92(f904(x99192,a893)),x99194),x99195))),f317(f317(f9(x99192,x99191),x99193),f317(f317(f91(f904(x99192,a893)),x99194),x99195)))+P1(f317(f317(f319(x99192),f441(x99193,x99195,x99194,x99192,x99191)),f317(f317(f92(f904(x99192,a893)),x99194),x99195)))
% 92.29/92.11 [9230]E(f317(f317(f124(x92301),x92302),x92303),f317(f317(f124(x92301),x92304),x92305))+~E(f317(f317(f165(x92301),f317(f179(f898(x92301)),x92304)),x92302),x92304)+~E(f317(f317(f165(x92301),f317(f179(f898(x92301)),x92302)),x92304),x92302)+~E(x92305,f317(f317(f124(x92301),f317(f317(f128(x92301),f317(f179(f898(x92301)),x92304)),x92302)),x92303))+~E(f317(f317(f124(x92301),f317(f317(f128(x92301),f317(f179(f898(x92301)),x92302)),x92304)),x92305),x92303)
% 92.29/92.11 [9650]~P107(x96502)+E(f317(f317(f138(x96501,x96502,x96503),x96504),f160(x96501,x96504,x96505)),x96505)+~P13(x96502,f317(f317(f144(x96501,x96502),x96503),x96505))+~P1(f317(f317(f319(x96501),x96504),f317(f162(x96501),x96505)))+~E(f317(f131(x96501),f317(f126(x96501,f317(f317(f8(x96502,a893,x96501),f317(a314,f317(x96503,x96504))),x96503)),x96505)),x96504)
% 92.29/92.11 [9983]~P73(x99831)+~P1(f317(f61(x99831,x99831,f75(x99831),x99832,x99833),x99835))+~P1(f317(f317(f319(x99831),x99834),x99833))+P1(f317(f317(f319(x99831),x99832),x99833))+P1(f317(f61(x99831,x99831,f75(x99831),x99834,f317(f317(f299(x99831),x99832),f317(f317(f23(f904(x99831,a893)),x99833),f317(f317(f299(x99831),x99834),f178(f904(x99831,a893)))))),x99835))
% 92.29/92.11 [7366]E(x73661,x73662)+~P24(x73664,x73665,x73663,x73666)+~E(f317(x73663,x73661),f317(x73663,x73662))+~P1(f317(f317(f319(x73664),x73662),x73666))+~P1(f317(f317(f319(x73664),x73661),x73666))
% 92.29/92.11 [7367]E(x73671,x73672)+~P24(x73674,x73675,x73673,x73676)+~E(f317(x73673,x73671),f317(x73673,x73672))+~P1(f317(f317(f319(x73674),x73672),x73676))+~P1(f317(f317(f319(x73674),x73671),x73676))
% 92.29/92.11 [7368]E(x73681,x73682)+~P24(x73684,x73685,x73683,x73686)+~E(f317(x73683,x73681),f317(x73683,x73682))+~P1(f317(f317(f319(x73684),x73682),x73686))+~P1(f317(f317(f319(x73684),x73681),x73686))
% 92.29/92.11 [7369]E(x73691,x73692)+~P24(x73694,x73695,x73693,x73696)+~E(f317(x73693,x73691),f317(x73693,x73692))+~P1(f317(f317(f319(x73694),x73692),x73696))+~P1(f317(f317(f319(x73694),x73691),x73696))
% 92.29/92.11 [6611]~P146(x66114)+E(x66111,x66112)+~E(x66115,x66116)+E(x66113,f2(x66114))+~E(f317(f317(f74(x66114),x66115),f317(f317(f75(x66114),x66113),x66111)),f317(f317(f74(x66114),x66116),f317(f317(f75(x66114),x66113),x66112)))
% 92.29/92.11 [7656]~P107(x76561)+~P5(x76561)+~P1(f317(f317(f225(x76561),x76562),f317(x76565,x76566)))+~P1(f317(f317(f319(x76563),x76566),x76564))+P1(f317(f317(f225(x76561),x76562),f317(f317(f35(x76563,x76561),x76564),x76565)))
% 92.29/92.11 [9979]~P24(x99792,x99791,x99793,x99794)+~P24(x99791,x99792,x99796,x99795)+P25(x99791,x99792,f807(x99793,x99794,x99795,x99796,x99792,x99791),x99795,x99794)+~P1(f317(f317(f224(f904(x99792,a893)),f317(f300(x99791,x99792,x99796),x99795)),x99794))+~P1(f317(f317(f224(f904(x99791,a893)),f317(f300(x99792,x99791,x99793),x99794)),x99795))
% 92.29/92.11 [8337]~P107(x83371)+~P5(x83371)+~P1(f317(f317(f225(x83371),f317(x83374,x83376)),x83375))+~P1(f317(f317(f319(x83372),x83376),x83373))+P1(f317(f317(f225(x83371),f317(f317(f36(x83372,x83371),x83373),x83374)),x83375))
% 92.29/92.11 [8591]~P19(x85912,x85915,x85916,x85911)+~P1(f317(f29(x85912),x85914))+~P1(f317(f29(x85912),x85913))+~E(f317(f317(f92(f904(x85912,a893)),x85913),x85914),f178(f904(x85912,a893)))+E(f317(x85911,f317(f317(f91(f904(x85912,a893)),x85913),x85914)),f317(f67(x85915,x85915,x85915,f317(x85911,x85913)),f317(x85911,x85914)))
% 92.29/92.11 [10190]~P76(x101901)+~E(f793(x101904,x101905,x101903,x101906,x101902,x101901),f794(x101904,x101905,x101903,x101906,x101902,x101901))+~P1(f317(f29(x101902),x101906))+E(f317(f317(f317(f60(x101901,x101902,f75(x101901)),f317(f317(f8(f904(x101903,a893),x101901,x101902),f317(f317(f60(x101901,x101903,f75(x101901)),x101904),f72(x101901))),x101905)),f72(x101901)),x101906),f317(f317(f317(f60(x101901,x101903,f75(x101901)),x101904),f72(x101901)),f317(f317(f35(x101902,f904(x101903,a893)),x101906),x101905)))+P1(f317(f317(f319(x101902),f792(x101904,x101905,x101903,x101906,x101902,x101901)),x101906))
% 92.29/92.11 [10220]~P76(x102201)+~E(f793(x102204,x102205,x102203,x102206,x102202,x102201),f794(x102204,x102205,x102203,x102206,x102202,x102201))+~P1(f317(f29(x102202),x102206))+E(f317(f317(f317(f60(x102201,x102202,f75(x102201)),f317(f317(f8(f904(x102203,a893),x102201,x102202),f317(f317(f60(x102201,x102203,f75(x102201)),x102204),f72(x102201))),x102205)),f72(x102201)),x102206),f317(f317(f317(f60(x102201,x102203,f75(x102201)),x102204),f72(x102201)),f317(f317(f35(x102202,f904(x102203,a893)),x102206),x102205)))+~P1(f317(f29(x102203),f317(x102205,f792(x102204,x102205,x102203,x102206,x102202,x102201))))
% 92.29/92.11 [10223]~P76(x102231)+~P1(f317(f29(x102232),x102236))+E(f317(f317(f317(f60(x102231,x102232,f75(x102231)),f317(f317(f8(f904(x102233,a893),x102231,x102232),f317(f317(f60(x102231,x102233,f75(x102231)),x102234),f72(x102231))),x102235)),f72(x102231)),x102236),f317(f317(f317(f60(x102231,x102233,f75(x102231)),x102234),f72(x102231)),f317(f317(f35(x102232,f904(x102233,a893)),x102236),x102235)))+P1(f317(f317(f319(x102232),f792(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))+P1(f317(f317(f319(x102232),f794(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))
% 92.29/92.11 [10224]~P76(x102241)+~P1(f317(f29(x102242),x102246))+E(f317(f317(f317(f60(x102241,x102242,f75(x102241)),f317(f317(f8(f904(x102243,a893),x102241,x102242),f317(f317(f60(x102241,x102243,f75(x102241)),x102244),f72(x102241))),x102245)),f72(x102241)),x102246),f317(f317(f317(f60(x102241,x102243,f75(x102241)),x102244),f72(x102241)),f317(f317(f35(x102242,f904(x102243,a893)),x102246),x102245)))+P1(f317(f317(f319(x102242),f792(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))+P1(f317(f317(f319(x102242),f793(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))
% 92.29/92.11 [10243]~P76(x102431)+~P1(f317(f29(x102432),x102436))+E(f317(f317(f317(f60(x102431,x102432,f75(x102431)),f317(f317(f8(f904(x102433,a893),x102431,x102432),f317(f317(f60(x102431,x102433,f75(x102431)),x102434),f72(x102431))),x102435)),f72(x102431)),x102436),f317(f317(f317(f60(x102431,x102433,f75(x102431)),x102434),f72(x102431)),f317(f317(f35(x102432,f904(x102433,a893)),x102436),x102435)))+P1(f317(f317(f319(x102432),f794(x102434,x102435,x102433,x102436,x102432,x102431)),x102436))+~P1(f317(f29(x102433),f317(x102435,f792(x102434,x102435,x102433,x102436,x102432,x102431))))
% 92.29/92.11 [10244]~P76(x102441)+~P1(f317(f29(x102442),x102446))+E(f317(f317(f317(f60(x102441,x102442,f75(x102441)),f317(f317(f8(f904(x102443,a893),x102441,x102442),f317(f317(f60(x102441,x102443,f75(x102441)),x102444),f72(x102441))),x102445)),f72(x102441)),x102446),f317(f317(f317(f60(x102441,x102443,f75(x102441)),x102444),f72(x102441)),f317(f317(f35(x102442,f904(x102443,a893)),x102446),x102445)))+P1(f317(f317(f319(x102442),f793(x102444,x102445,x102443,x102446,x102442,x102441)),x102446))+~P1(f317(f29(x102443),f317(x102445,f792(x102444,x102445,x102443,x102446,x102442,x102441))))
% 92.29/92.11 [10255]~P76(x102551)+~E(f317(f317(f92(f904(x102553,a893)),f317(x102555,f794(x102554,x102555,x102553,x102556,x102552,x102551))),f317(x102555,f793(x102554,x102555,x102553,x102556,x102552,x102551))),f178(f904(x102553,a893)))+~P1(f317(f29(x102552),x102556))+E(f317(f317(f317(f60(x102551,x102552,f75(x102551)),f317(f317(f8(f904(x102553,a893),x102551,x102552),f317(f317(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551))),x102555)),f72(x102551)),x102556),f317(f317(f317(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551)),f317(f317(f35(x102552,f904(x102553,a893)),x102556),x102555)))+P1(f317(f317(f319(x102552),f792(x102554,x102555,x102553,x102556,x102552,x102551)),x102556))
% 92.29/92.11 [10266]~P76(x102661)+~E(f317(f317(f92(f904(x102663,a893)),f317(x102665,f794(x102664,x102665,x102663,x102666,x102662,x102661))),f317(x102665,f793(x102664,x102665,x102663,x102666,x102662,x102661))),f178(f904(x102663,a893)))+~P1(f317(f29(x102662),x102666))+E(f317(f317(f317(f60(x102661,x102662,f75(x102661)),f317(f317(f8(f904(x102663,a893),x102661,x102662),f317(f317(f60(x102661,x102663,f75(x102661)),x102664),f72(x102661))),x102665)),f72(x102661)),x102666),f317(f317(f317(f60(x102661,x102663,f75(x102661)),x102664),f72(x102661)),f317(f317(f35(x102662,f904(x102663,a893)),x102666),x102665)))+~P1(f317(f29(x102663),f317(x102665,f792(x102664,x102665,x102663,x102666,x102662,x102661))))
% 92.29/92.11 [9319]~P121(x93191)+~P118(x93191)+~P1(f317(f317(f277(x93191),x93192),x93195))+~P1(f317(f317(f277(x93191),x93192),f317(f317(f74(x93191),x93193),x93196)))+P1(f317(f317(f277(x93191),x93192),f317(f317(f74(x93191),f317(f317(f23(x93191),x93193),f317(f317(f75(x93191),x93194),x93195))),x93196)))
% 92.29/92.11 [9320]~P121(x93201)+~P118(x93201)+~P1(f317(f317(f277(x93201),x93202),x93205))+~P1(f317(f317(f277(x93201),x93202),f317(f317(f74(x93201),x93203),x93206)))+P1(f317(f317(f277(x93201),x93202),f317(f317(f74(x93201),f317(f317(f23(x93201),x93203),f317(f317(f75(x93201),x93204),x93205))),x93206)))
% 92.29/92.11 [9514]~P121(x95141)+~P118(x95141)+~P1(f317(f317(f277(x95141),x95142),x95145))+P1(f317(f317(f277(x95141),x95142),f317(f317(f74(x95141),x95143),x95144)))+~P1(f317(f317(f277(x95141),x95142),f317(f317(f74(x95141),f317(f317(f23(x95141),x95143),f317(f317(f75(x95141),x95146),x95145))),x95144)))
% 92.29/92.11 [9515]~P121(x95151)+~P118(x95151)+~P1(f317(f317(f277(x95151),x95152),x95155))+P1(f317(f317(f277(x95151),x95152),f317(f317(f74(x95151),x95153),x95154)))+~P1(f317(f317(f277(x95151),x95152),f317(f317(f74(x95151),f317(f317(f23(x95151),x95153),f317(f317(f75(x95151),x95156),x95155))),x95154)))
% 92.29/92.11 [8925]E(x89251,x89252)+~P56(x89254,x89255,x89256,x89253,x89257)+~E(f317(x89253,x89251),f317(x89253,x89252))+~P1(f317(f317(f319(x89255),x89252),x89257))+~P1(f317(f317(f319(x89255),x89251),x89257))
% 92.29/92.11 [9649]~P25(x96491,x96492,x96493,x96495,x96497)+~P25(x96491,x96492,x96493,x96494,x96496)+P25(x96491,x96492,x96493,f317(f317(f91(f904(x96491,a893)),x96494),x96495),f317(f317(f91(f904(x96492,a893)),x96496),x96497))+~E(f317(f317(f92(f904(x96492,a893)),x96496),x96497),f178(f904(x96492,a893)))+~E(f317(f317(f92(f904(x96491,a893)),x96494),x96495),f178(f904(x96491,a893)))
% 92.29/92.11 [10231]~P1(f317(x102312,x102314))+~E(x102315,f317(f126(x102311,x102312),x102317))+E(f317(f126(x102311,x102312),x102313),f317(f317(f141(x102311),x102314),x102315))+~E(x102313,f317(f317(f124(x102311),x102316),f317(f317(f141(x102311),x102314),x102317)))+P1(f317(x102312,f726(x102315,x102314,x102313,x102312,x102311,x102316,x102317)))
% 92.29/92.11 [10232]~P1(f317(x102324,x102322))+~E(x102323,f317(f126(x102321,x102324),x102327))+E(f317(f317(f141(x102321),x102322),x102323),f317(f126(x102321,x102324),x102325))+~E(x102325,f317(f317(f124(x102321),x102326),f317(f317(f141(x102321),x102322),x102327)))+P1(f317(x102324,f725(x102325,x102324,x102323,x102322,x102321,x102326,x102327)))
% 92.29/92.11 [10282]~P1(f317(x102822,x102824))+~E(x102825,f317(f126(x102821,x102822),x102827))+E(f317(f126(x102821,x102822),x102823),f317(f317(f141(x102821),x102824),x102825))+~E(x102823,f317(f317(f124(x102821),x102826),f317(f317(f141(x102821),x102824),x102827)))+P1(f317(f317(f319(x102821),f726(x102825,x102824,x102823,x102822,x102821,x102826,x102827)),f317(f162(x102821),x102826)))
% 92.29/92.11 [10283]~P1(f317(x102834,x102832))+~E(x102833,f317(f126(x102831,x102834),x102837))+E(f317(f317(f141(x102831),x102832),x102833),f317(f126(x102831,x102834),x102835))+~E(x102835,f317(f317(f124(x102831),x102836),f317(f317(f141(x102831),x102832),x102837)))+P1(f317(f317(f319(x102831),f725(x102835,x102834,x102833,x102832,x102831,x102836,x102837)),f317(f162(x102831),x102836)))
% 92.29/92.11 [10287]~P8(x102871,x102877,x102876)+~P11(x102871,f904(x102875,a893),x102876,x102874)+P1(f317(f317(f319(x102871),f428(x102872,x102873,x102874,x102875,x102876,x102877,x102871)),x102877))+~P1(f317(f317(f319(f904(x102871,a893)),x102873),f317(f317(f56(x102871),x102877),x102876)))+P1(f317(f317(f319(f904(x102875,a893)),f317(f317(f35(x102871,f904(x102875,a893)),x102873),x102874)),x102872))
% 92.29/92.11 [10342]~P8(x103422,x103426,x103427)+~P11(x103422,f904(x103421,a893),x103427,x103424)+~P1(f317(f317(f319(f904(x103422,a893)),x103423),f317(f317(f56(x103422),x103426),x103427)))+~P1(f317(f317(f319(f904(x103421,a893)),f317(x103424,f428(x103425,x103423,x103424,x103421,x103427,x103426,x103422))),x103425))+P1(f317(f317(f319(f904(x103421,a893)),f317(f317(f35(x103422,f904(x103421,a893)),x103423),x103424)),x103425))
% 92.29/92.11 [8510]~P76(x85102)+~P24(x85101,x85105,x85108,x85104)+~E(x85103,f317(f67(x85105,x85102,x85101,x85106),x85108))+~E(x85107,f317(f300(x85101,x85105,x85108),x85104))+E(f317(f317(f9(x85101,x85102),x85103),x85104),f317(f317(f9(x85105,x85102),x85106),x85107))
% 92.29/92.11 [10346]~P76(x103462)+~P24(x103465,x103461,x103468,x103467)+~E(f317(x103466,f355(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)),f317(f317(f67(x103461,x103462,x103465,x103463),x103468),f355(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)))+~E(x103464,f317(f300(x103465,x103461,x103468),x103467))+E(f317(f317(f9(x103461,x103462),x103463),x103464),f317(f317(f9(x103465,x103462),x103466),x103467))
% 92.29/92.11 [10349]~P76(x103492)+~P24(x103491,x103495,x103498,x103494)+~E(x103497,f317(f300(x103491,x103495,x103498),x103494))+E(f317(f317(f9(x103491,x103492),x103493),x103494),f317(f317(f9(x103495,x103492),x103496),x103497))+P1(f317(f317(f319(x103491),f355(x103496,x103493,x103497,x103494,x103498,x103495,x103491,x103492)),x103494))
% 92.29/92.11 [10350]~P77(x103502)+~P24(x103501,x103505,x103508,x103504)+~E(x103507,f317(f300(x103501,x103505,x103508),x103504))+E(f317(f317(f6(x103501,x103502),x103503),x103504),f317(f317(f6(x103505,x103502),x103506),x103507))+P1(f317(f317(f319(x103501),f583(x103506,x103503,x103507,x103504,x103508,x103505,x103501,x103502)),x103504))
% 92.29/92.11 [10355]~P77(x103552)+~P24(x103555,x103551,x103558,x103557)+~E(x103554,f317(f300(x103555,x103551,x103558),x103557))+~E(f317(x103556,f583(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552)),f317(x103553,f317(x103558,f583(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552))))+E(f317(f317(f6(x103551,x103552),x103553),x103554),f317(f317(f6(x103555,x103552),x103556),x103557))
% 92.29/92.11 [9816]~P23(x98166,x98162,x98165,x98167,x98168,x98161)+~P1(f317(f29(x98162),x98164))+~P1(f317(f29(x98162),x98163))+~E(f317(f317(f92(f904(x98162,a893)),x98163),x98164),f178(f904(x98162,a893)))+E(f317(x98161,f317(f317(f91(f904(x98162,a893)),x98163),x98164)),f317(f317(x98165,f317(x98161,x98163)),f317(x98161,x98164)))
% 92.29/92.11 [10217]~P23(x102178,x102172,x102175,x102177,x102176,x102171)+~E(f317(x102176,f517(x102174,x102173,x102171,x102176,x102177,x102175,x102172)),x102177)+~P1(f317(f29(x102172),x102173))+~P1(f317(f29(x102172),x102174))+E(f317(x102171,f317(f317(f91(f904(x102172,a893)),x102173),x102174)),f317(f317(x102175,f317(x102171,x102173)),f317(x102171,x102174)))
% 92.29/92.11 [10294]~P23(x102948,x102942,x102945,x102947,x102946,x102941)+~P1(f317(f29(x102942),x102943))+~P1(f317(f29(x102942),x102944))+E(f317(x102941,f317(f317(f91(f904(x102942,a893)),x102943),x102944)),f317(f317(x102945,f317(x102941,x102943)),f317(x102941,x102944)))+P1(f317(f317(f319(x102942),f517(x102944,x102943,x102941,x102946,x102947,x102945,x102942)),f317(f317(f92(f904(x102942,a893)),x102943),x102944)))
% 92.29/92.11 [9970]~P8(x99704,x99708,x99705)+~P8(x99701,x99709,x99703)+~P12(x99701,x99704,f904(x99702,a893),x99703,x99705,x99707)+P11(x99701,f904(x99702,a893),x99703,f317(f317(f8(f904(x99704,f904(x99702,a893)),f904(x99702,a893),x99701),f317(f35(x99704,f904(x99702,a893)),f317(f275(x99704,x99704,x99705),f317(f317(f299(x99704),x99706),f178(f904(x99704,a893)))))),x99707))+~P1(f317(f317(f319(x99704),x99706),x99708))
% 92.29/92.11 [5489]~P107(x54893)+~P13(x54893,x54891)+E(x54891,f703(x54892,x54893))+~E(f317(f162(x54893),x54891),x54892)+~P1(f317(f29(x54893),x54892))+~P1(f317(f127(x54893),x54891))
% 92.29/92.11 [7360]P15(x73601,x73602)+~E(f317(x73602,f784(x73602)),f317(x73602,f785(x73602)))+~P1(f317(f317(x73602,f784(x73602)),f784(x73602)))+~P1(f317(f317(x73602,f784(x73602)),f785(x73602)))+~P1(f317(f317(x73602,f785(x73602)),f785(x73602)))+~P1(f317(f317(x73602,x73603),x73603))
% 92.29/92.11 [5115]~P132(x51152)+~P133(x51152)+~P143(x51152)+~P114(x51152)+E(x51151,f2(x51152))+~E(f317(f317(f234(x51152),x51151),x51153),f2(x51152))
% 92.29/92.11 [5116]~P132(x51162)+~P133(x51162)+~P143(x51162)+~P114(x51162)+~E(x51161,f2(a897))+~E(f317(f317(f234(x51162),x51163),x51161),f2(x51162))
% 92.29/92.11 [6593]~P88(x65931)+~E(x65933,f2(x65931))+~E(x65932,f2(x65931))+E(f317(f317(f74(x65931),x65932),x65933),f2(x65931))+~P1(f317(f317(f224(x65931),f2(x65931)),x65933))+~P1(f317(f317(f224(x65931),f2(x65931)),x65932))
% 92.29/92.11 [8975]E(x89751,f2(a897))+~E(x89752,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x89753)),x89751)),f317(f246(a897,a897),x89753)))+P1(f317(f44(x89752,x89751),x89753))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x89753)),f2(a897)))+P1(f317(f317(f225(a897),f2(a897)),x89751))+~P1(f317(f317(f225(a897),x89751),f317(f246(a897,a897),x89753)))
% 92.29/92.11 [8993]~E(f317(f241(a897,a897),x89933),f2(a897))+~E(x89931,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x89933)),x89932)),f317(f246(a897,a897),x89933)))+P1(f317(f44(x89931,x89932),x89933))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x89933)),f2(a897)))+P1(f317(f317(f225(a897),f2(a897)),x89932))+~P1(f317(f317(f225(a897),x89932),f317(f246(a897,a897),x89933)))
% 92.29/92.11 [9001]E(x90011,f2(a897))+~E(x90012,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x90013)),x90011)),f317(f246(a897,a897),x90013)))+P1(f317(f44(x90012,x90011),x90013))+~P1(f317(f317(f225(a897),f2(a897)),x90011))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x90013)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x90013)),x90011))
% 92.29/92.11 [9019]~E(f317(f241(a897,a897),x90193),f2(a897))+~E(x90191,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x90193)),x90192)),f317(f246(a897,a897),x90193)))+P1(f317(f44(x90191,x90192),x90193))+~P1(f317(f317(f225(a897),f2(a897)),x90192))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x90193)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x90193)),x90192))
% 92.29/92.11 [6983]~P107(x69832)+E(x69831,f178(f904(x69832,a893)))+E(x69833,f178(f904(x69832,a893)))+~P1(f317(f29(x69832),x69831))+~P1(f317(f29(x69832),x69833))+E(f14(x69832,f317(f317(f91(f904(x69832,a893)),x69833),x69831)),f317(f317(f228(x69832),f14(x69832,x69833)),f14(x69832,x69831)))
% 92.29/92.11 [6984]~P107(x69842)+E(x69841,f178(f904(x69842,a893)))+E(x69843,f178(f904(x69842,a893)))+~P1(f317(f29(x69842),x69841))+~P1(f317(f29(x69842),x69843))+E(f15(x69842,f317(f317(f91(f904(x69842,a893)),x69843),x69841)),f317(f317(f223(x69842),f15(x69842,x69843)),f15(x69842,x69841)))
% 92.29/92.11 [6985]~P99(x69852)+E(x69851,f178(f904(x69852,a893)))+E(x69853,f178(f904(x69852,a893)))+~P1(f317(f29(x69852),x69851))+~P1(f317(f29(x69852),x69853))+E(f13(x69852,f317(f317(f91(f904(x69852,a893)),x69853),x69851)),f317(f317(f91(x69852),f13(x69852,x69853)),f13(x69852,x69851)))
% 92.29/92.11 [6986]~P99(x69862)+E(x69861,f178(f904(x69862,a893)))+E(x69863,f178(f904(x69862,a893)))+~P1(f317(f29(x69862),x69861))+~P1(f317(f29(x69862),x69863))+E(f10(x69862,f317(f317(f91(f904(x69862,a893)),x69863),x69861)),f317(f317(f92(x69862),f10(x69862,x69863)),f10(x69862,x69861)))
% 92.29/92.11 [7630]~P97(x76302)+E(x76301,f178(f904(x76302,a893)))+E(x76303,f178(f904(x76302,a893)))+~P1(f317(f29(x76302),x76301))+~P1(f317(f29(x76302),x76303))+E(f317(f317(f75(x76302),f317(f58(x76302,f75(x76302)),x76303)),f317(f58(x76302,f75(x76302)),x76301)),f317(f58(x76302,f75(x76302)),f317(f317(f91(f904(x76302,a893)),x76303),x76301)))
% 92.29/92.11 [7792]~P107(x77922)+E(x77921,f178(f904(x77922,a893)))+E(x77923,f178(f904(x77922,a893)))+~P1(f317(f29(x77922),x77921))+~P1(f317(f29(x77922),x77923))+E(f317(f317(f228(x77922),f11(x77922,f228(x77922),x77923)),f11(x77922,f228(x77922),x77921)),f11(x77922,f228(x77922),f317(f317(f91(f904(x77922,a893)),x77923),x77921)))
% 92.29/92.11 [7793]~P107(x77932)+E(x77931,f178(f904(x77932,a893)))+E(x77933,f178(f904(x77932,a893)))+~P1(f317(f29(x77932),x77931))+~P1(f317(f29(x77932),x77933))+E(f317(f317(f223(x77932),f12(x77932,f223(x77932),x77933)),f12(x77932,f223(x77932),x77931)),f12(x77932,f223(x77932),f317(f317(f91(f904(x77932,a893)),x77933),x77931)))
% 92.29/92.11 [8826]~P1(f317(x88261,x88263))+P1(f317(x88261,f409(x88261,x88262)))+P1(f317(x88261,f406(x88261,x88262)))+~P1(f317(f317(f225(a1),f2(a1)),x88262))+~P1(f317(f317(f319(a1),x88263),f293(a1,f72(a1),x88262)))+P1(f317(x88261,f317(f317(f23(a1),f406(x88261,x88262)),f317(f317(f75(a1),f408(x88261,x88262)),x88262))))
% 92.29/92.11 [9128]~P1(f317(x91281,x91283))+~P1(f317(x91281,f406(x91281,x91282)))+P1(f317(x91281,f409(x91281,x91282)))+~P1(f317(f317(f225(a1),f2(a1)),x91282))+~P1(f317(f317(f319(a1),x91283),f293(a1,f72(a1),x91282)))+~P1(f317(x91281,f317(f317(f23(a1),f406(x91281,x91282)),f317(f317(f75(a1),f408(x91281,x91282)),x91282))))
% 92.29/92.11 [10382]~P102(x103822)+E(x103821,f178(f904(x103822,a893)))+E(x103823,f178(f904(x103822,a893)))+~P1(f317(f29(x103822),x103821))+~P1(f317(f29(x103822),x103823))+E(f10(x103822,f317(f252(x103822),f317(f317(f8(f904(x103822,a893),a893,x103822),f81(x103822)),f317(f317(f8(f904(x103822,f904(x103822,a893)),f904(x103822,a893),x103822),f317(f8(f904(x103822,a893),a893,x103822),f81(x103822))),f317(f317(f7(x103822,f904(x103822,f904(x103822,a893)),f904(x103822,f904(x103822,a893))),f317(f317(f8(f904(x103822,f904(f904(x103822,a893),f904(x103822,a893))),f904(f904(x103822,f904(x103822,a893)),f904(x103822,f904(x103822,a893))),x103822),f18(x103822,f904(x103822,a893),f904(x103822,a893))),f317(f317(f8(f904(x103822,f904(x103822,f904(a893,a893))),f904(x103822,f904(f904(x103822,a893),f904(x103822,a893))),x103822),f317(f8(f904(x103822,f904(a893,a893)),f904(f904(x103822,a893),f904(x103822,a893)),x103822),f18(x103822,a893,a893))),f317(f317(f8(f904(x103822,f904(x103822,a893)),f904(x103822,f904(x103822,f904(a893,a893))),x103822),f317(f8(f904(x103822,a893),f904(x103822,f904(a893,a893)),x103822),f317(f8(a893,f904(a893,a893),x103822),a315))),f317(f317(f7(x103822,f904(x103822,f904(x103822,x103822)),f904(x103822,f904(x103822,a893))),f317(f317(f8(f904(f904(x103822,x103822),f904(x103822,a893)),f904(f904(x103822,f904(x103822,x103822)),f904(x103822,f904(x103822,a893))),x103822),f8(f904(x103822,x103822),f904(x103822,a893),x103822)),f317(f317(f8(f904(x103822,a893),f904(f904(x103822,x103822),f904(x103822,a893)),x103822),f8(x103822,a893,x103822)),a314))),f91(x103822)))))),f317(f317(f7(x103822,f904(x103822,a893),f904(x103822,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x103822,a893),f904(x103822,a893)),x103822),f8(a893,a893,x103822)),f317(f317(f8(a893,f904(a893,a893),x103822),a315),f317(f317(f7(x103822,f904(x103822,a893),a893),f319(x103822)),x103823)))),f317(f317(f7(x103822,f904(x103822,a893),a893),f319(x103822)),x103821))))))),f317(f317(f91(x103822),f10(x103822,x103823)),f10(x103822,x103821)))
% 92.29/92.11 [10383]~P102(x103832)+E(x103831,f178(f904(x103832,a893)))+E(x103833,f178(f904(x103832,a893)))+~P1(f317(f29(x103832),x103831))+~P1(f317(f29(x103832),x103833))+E(f13(x103832,f317(f252(x103832),f317(f317(f8(f904(x103832,a893),a893,x103832),f81(x103832)),f317(f317(f8(f904(x103832,f904(x103832,a893)),f904(x103832,a893),x103832),f317(f8(f904(x103832,a893),a893,x103832),f81(x103832))),f317(f317(f7(x103832,f904(x103832,f904(x103832,a893)),f904(x103832,f904(x103832,a893))),f317(f317(f8(f904(x103832,f904(f904(x103832,a893),f904(x103832,a893))),f904(f904(x103832,f904(x103832,a893)),f904(x103832,f904(x103832,a893))),x103832),f18(x103832,f904(x103832,a893),f904(x103832,a893))),f317(f317(f8(f904(x103832,f904(x103832,f904(a893,a893))),f904(x103832,f904(f904(x103832,a893),f904(x103832,a893))),x103832),f317(f8(f904(x103832,f904(a893,a893)),f904(f904(x103832,a893),f904(x103832,a893)),x103832),f18(x103832,a893,a893))),f317(f317(f8(f904(x103832,f904(x103832,a893)),f904(x103832,f904(x103832,f904(a893,a893))),x103832),f317(f8(f904(x103832,a893),f904(x103832,f904(a893,a893)),x103832),f317(f8(a893,f904(a893,a893),x103832),a315))),f317(f317(f7(x103832,f904(x103832,f904(x103832,x103832)),f904(x103832,f904(x103832,a893))),f317(f317(f8(f904(f904(x103832,x103832),f904(x103832,a893)),f904(f904(x103832,f904(x103832,x103832)),f904(x103832,f904(x103832,a893))),x103832),f8(f904(x103832,x103832),f904(x103832,a893),x103832)),f317(f317(f8(f904(x103832,a893),f904(f904(x103832,x103832),f904(x103832,a893)),x103832),f8(x103832,a893,x103832)),a314))),f92(x103832)))))),f317(f317(f7(x103832,f904(x103832,a893),f904(x103832,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x103832,a893),f904(x103832,a893)),x103832),f8(a893,a893,x103832)),f317(f317(f8(a893,f904(a893,a893),x103832),a315),f317(f317(f7(x103832,f904(x103832,a893),a893),f319(x103832)),x103833)))),f317(f317(f7(x103832,f904(x103832,a893),a893),f319(x103832)),x103831))))))),f317(f317(f92(x103832),f13(x103832,x103833)),f13(x103832,x103831)))
% 92.29/92.11 [10384]~P107(x103842)+E(x103841,f178(f904(x103842,a893)))+E(x103843,f178(f904(x103842,a893)))+~P1(f317(f29(x103842),x103841))+~P1(f317(f29(x103842),x103843))+E(f12(x103842,f223(x103842),f317(f252(x103842),f317(f317(f8(f904(x103842,a893),a893,x103842),f81(x103842)),f317(f317(f8(f904(x103842,f904(x103842,a893)),f904(x103842,a893),x103842),f317(f8(f904(x103842,a893),a893,x103842),f81(x103842))),f317(f317(f7(x103842,f904(x103842,f904(x103842,a893)),f904(x103842,f904(x103842,a893))),f317(f317(f8(f904(x103842,f904(f904(x103842,a893),f904(x103842,a893))),f904(f904(x103842,f904(x103842,a893)),f904(x103842,f904(x103842,a893))),x103842),f18(x103842,f904(x103842,a893),f904(x103842,a893))),f317(f317(f8(f904(x103842,f904(x103842,f904(a893,a893))),f904(x103842,f904(f904(x103842,a893),f904(x103842,a893))),x103842),f317(f8(f904(x103842,f904(a893,a893)),f904(f904(x103842,a893),f904(x103842,a893)),x103842),f18(x103842,a893,a893))),f317(f317(f8(f904(x103842,f904(x103842,a893)),f904(x103842,f904(x103842,f904(a893,a893))),x103842),f317(f8(f904(x103842,a893),f904(x103842,f904(a893,a893)),x103842),f317(f8(a893,f904(a893,a893),x103842),a315))),f317(f317(f7(x103842,f904(x103842,f904(x103842,x103842)),f904(x103842,f904(x103842,a893))),f317(f317(f8(f904(f904(x103842,x103842),f904(x103842,a893)),f904(f904(x103842,f904(x103842,x103842)),f904(x103842,f904(x103842,a893))),x103842),f8(f904(x103842,x103842),f904(x103842,a893),x103842)),f317(f317(f8(f904(x103842,a893),f904(f904(x103842,x103842),f904(x103842,a893)),x103842),f8(x103842,a893,x103842)),a314))),f228(x103842)))))),f317(f317(f7(x103842,f904(x103842,a893),f904(x103842,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x103842,a893),f904(x103842,a893)),x103842),f8(a893,a893,x103842)),f317(f317(f8(a893,f904(a893,a893),x103842),a315),f317(f317(f7(x103842,f904(x103842,a893),a893),f319(x103842)),x103843)))),f317(f317(f7(x103842,f904(x103842,a893),a893),f319(x103842)),x103841))))))),f317(f317(f228(x103842),f12(x103842,f223(x103842),x103843)),f12(x103842,f223(x103842),x103841)))
% 92.29/92.11 [10385]~P107(x103852)+E(x103851,f178(f904(x103852,a893)))+E(x103853,f178(f904(x103852,a893)))+~P1(f317(f29(x103852),x103851))+~P1(f317(f29(x103852),x103853))+E(f11(x103852,f228(x103852),f317(f252(x103852),f317(f317(f8(f904(x103852,a893),a893,x103852),f81(x103852)),f317(f317(f8(f904(x103852,f904(x103852,a893)),f904(x103852,a893),x103852),f317(f8(f904(x103852,a893),a893,x103852),f81(x103852))),f317(f317(f7(x103852,f904(x103852,f904(x103852,a893)),f904(x103852,f904(x103852,a893))),f317(f317(f8(f904(x103852,f904(f904(x103852,a893),f904(x103852,a893))),f904(f904(x103852,f904(x103852,a893)),f904(x103852,f904(x103852,a893))),x103852),f18(x103852,f904(x103852,a893),f904(x103852,a893))),f317(f317(f8(f904(x103852,f904(x103852,f904(a893,a893))),f904(x103852,f904(f904(x103852,a893),f904(x103852,a893))),x103852),f317(f8(f904(x103852,f904(a893,a893)),f904(f904(x103852,a893),f904(x103852,a893)),x103852),f18(x103852,a893,a893))),f317(f317(f8(f904(x103852,f904(x103852,a893)),f904(x103852,f904(x103852,f904(a893,a893))),x103852),f317(f8(f904(x103852,a893),f904(x103852,f904(a893,a893)),x103852),f317(f8(a893,f904(a893,a893),x103852),a315))),f317(f317(f7(x103852,f904(x103852,f904(x103852,x103852)),f904(x103852,f904(x103852,a893))),f317(f317(f8(f904(f904(x103852,x103852),f904(x103852,a893)),f904(f904(x103852,f904(x103852,x103852)),f904(x103852,f904(x103852,a893))),x103852),f8(f904(x103852,x103852),f904(x103852,a893),x103852)),f317(f317(f8(f904(x103852,a893),f904(f904(x103852,x103852),f904(x103852,a893)),x103852),f8(x103852,a893,x103852)),a314))),f223(x103852)))))),f317(f317(f7(x103852,f904(x103852,a893),f904(x103852,a893)),f317(f317(f8(f904(a893,a893),f904(f904(x103852,a893),f904(x103852,a893)),x103852),f8(a893,a893,x103852)),f317(f317(f8(a893,f904(a893,a893),x103852),a315),f317(f317(f7(x103852,f904(x103852,a893),a893),f319(x103852)),x103853)))),f317(f317(f7(x103852,f904(x103852,a893),a893),f319(x103852)),x103851))))))),f317(f317(f223(x103852),f11(x103852,f228(x103852),x103853)),f11(x103852,f228(x103852),x103851)))
% 92.29/92.11 [7316]~P110(x73163)+E(x73161,x73162)+~E(f317(f317(f234(x73163),x73161),x73164),f317(f317(f234(x73163),x73162),x73164))+~P1(f317(f317(f224(x73163),f2(x73163)),x73162))+~P1(f317(f317(f224(x73163),f2(x73163)),x73161))+~P1(f317(f317(f225(a897),f2(a897)),x73164))
% 92.29/92.11 [8141]~P93(x81411)+~P63(x81411)+P1(f317(f317(f225(x81411),x81412),f2(x81411)))+P1(f317(f317(f225(x81411),f2(x81411)),x81412))+P1(f317(f317(f224(x81411),f317(f317(f281(x81411),x81413),x81412)),f317(f94(x81411),x81414)))+~P1(f317(f317(f224(x81411),f2(x81411)),f317(f94(x81411),x81414)))
% 92.29/92.11 [8142]~P93(x81421)+~P63(x81421)+P1(f317(f317(f225(x81421),x81422),f2(x81421)))+P1(f317(f317(f225(x81421),f2(x81421)),x81422))+P1(f317(f317(f225(x81421),f317(f317(f281(x81421),x81423),x81422)),f317(f94(x81421),x81424)))+~P1(f317(f317(f225(x81421),f2(x81421)),f317(f94(x81421),x81424)))
% 92.29/92.11 [8385]~P93(x83851)+~P63(x83851)+P1(f317(f317(f225(x83851),x83852),f2(x83851)))+P1(f317(f317(f225(x83851),f2(x83851)),x83852))+~P1(f317(f317(f224(x83851),f317(f317(f281(x83851),x83854),x83852)),f317(f94(x83851),x83853)))+P1(f317(f317(f224(x83851),f2(x83851)),f317(f94(x83851),x83853)))
% 92.29/92.11 [8386]~P93(x83861)+~P63(x83861)+P1(f317(f317(f225(x83861),x83862),f2(x83861)))+P1(f317(f317(f225(x83861),f2(x83861)),x83862))+~P1(f317(f317(f225(x83861),f317(f317(f281(x83861),x83864),x83862)),f317(f94(x83861),x83863)))+P1(f317(f317(f225(x83861),f2(x83861)),f317(f94(x83861),x83863)))
% 92.29/92.11 [7589]~P107(x75892)+E(x75891,f178(f904(x75892,a893)))+~P1(f317(f29(x75892),x75891))+~P1(f317(f317(f319(x75892),x75894),x75891))+P1(f317(f317(f224(x75892),x75893),x75894))+~P1(f317(f317(f224(x75892),x75893),f317(f58(x75892,f228(x75892)),x75891)))
% 92.29/92.11 [7590]~P104(x75902)+E(x75901,f178(f904(x75902,a893)))+~P1(f317(f29(x75902),x75901))+~P1(f317(f317(f319(x75902),x75904),x75901))+P1(f317(f317(f224(x75902),x75903),x75904))+~P1(f317(f317(f224(x75902),x75903),f317(f58(x75902,f92(x75902)),x75901)))
% 92.29/92.11 [7591]~P107(x75912)+E(x75911,f178(f904(x75912,a893)))+~P1(f317(f29(x75912),x75911))+~P1(f317(f317(f319(x75912),x75914),x75911))+P1(f317(f317(f225(x75912),x75913),x75914))+~P1(f317(f317(f225(x75912),x75913),f317(f58(x75912,f228(x75912)),x75911)))
% 92.29/92.11 [8096]~P93(x80961)+~P63(x80961)+P1(f317(f317(f225(x80961),f317(f94(x80961),x80962)),f2(x80961)))+~P1(f317(f317(f224(x80961),x80963),f2(x80961)))+P1(f317(f317(f225(x80961),f2(x80961)),f317(f94(x80961),x80962)))+P1(f317(f317(f224(x80961),x80963),f317(f317(f281(x80961),x80964),f317(f94(x80961),x80962))))
% 92.29/92.11 [8097]~P93(x80971)+~P63(x80971)+P1(f317(f317(f225(x80971),f317(f94(x80971),x80972)),f2(x80971)))+~P1(f317(f317(f225(x80971),x80973),f2(x80971)))+P1(f317(f317(f225(x80971),f2(x80971)),f317(f94(x80971),x80972)))+P1(f317(f317(f225(x80971),x80973),f317(f317(f281(x80971),x80974),f317(f94(x80971),x80972))))
% 92.29/92.11 [8109]~P93(x81091)+~P63(x81091)+P1(f317(f317(f225(x81091),x81092),f2(x81091)))+~P1(f317(f317(f224(x81091),f317(f94(x81091),x81093)),f2(x81091)))+P1(f317(f317(f225(x81091),f2(x81091)),x81092))+P1(f317(f317(f224(x81091),f317(f94(x81091),x81093)),f317(f317(f281(x81091),x81094),x81092)))
% 92.29/92.11 [8110]~P93(x81101)+~P63(x81101)+P1(f317(f317(f225(x81101),x81102),f2(x81101)))+~P1(f317(f317(f225(x81101),f317(f94(x81101),x81103)),f2(x81101)))+P1(f317(f317(f225(x81101),f2(x81101)),x81102))+P1(f317(f317(f225(x81101),f317(f94(x81101),x81103)),f317(f317(f281(x81101),x81104),x81102)))
% 92.29/92.11 [8259]~P93(x82591)+~P63(x82591)+P1(f317(f317(f225(x82591),x82592),f2(x82591)))+P1(f317(f317(f224(x82591),f317(f94(x82591),x82593)),f2(x82591)))+P1(f317(f317(f225(x82591),f2(x82591)),x82592))+~P1(f317(f317(f224(x82591),f317(f94(x82591),x82593)),f317(f317(f281(x82591),x82594),x82592)))
% 92.29/92.11 [8260]~P93(x82601)+~P63(x82601)+P1(f317(f317(f225(x82601),x82602),f2(x82601)))+P1(f317(f317(f225(x82601),f317(f94(x82601),x82603)),f2(x82601)))+P1(f317(f317(f225(x82601),f2(x82601)),x82602))+~P1(f317(f317(f225(x82601),f317(f94(x82601),x82603)),f317(f317(f281(x82601),x82604),x82602)))
% 92.29/92.11 [8331]~P93(x83311)+~P63(x83311)+P1(f317(f317(f224(x83311),x83312),f2(x83311)))+P1(f317(f317(f225(x83311),f317(f94(x83311),x83313)),f2(x83311)))+P1(f317(f317(f225(x83311),f2(x83311)),f317(f94(x83311),x83313)))+~P1(f317(f317(f224(x83311),x83312),f317(f317(f281(x83311),x83314),f317(f94(x83311),x83313))))
% 92.29/92.11 [8332]~P93(x83321)+~P63(x83321)+P1(f317(f317(f225(x83321),x83322),f2(x83321)))+P1(f317(f317(f225(x83321),f317(f94(x83321),x83323)),f2(x83321)))+P1(f317(f317(f225(x83321),f2(x83321)),f317(f94(x83321),x83323)))+~P1(f317(f317(f225(x83321),x83322),f317(f317(f281(x83321),x83324),f317(f94(x83321),x83323))))
% 92.29/92.11 [8525]~P93(x85251)+~P63(x85251)+~P1(f317(f317(f224(x85251),x85253),f2(x85251)))+P1(f317(f317(f225(x85251),f2(x85251)),f317(f94(x85251),x85252)))+~P1(f317(f317(f224(x85251),x85254),f317(f317(f75(x85251),x85253),f317(f94(x85251),x85252))))+P1(f317(f317(f224(x85251),x85253),f317(f317(f281(x85251),x85254),f317(f94(x85251),x85252))))
% 92.29/92.11 [8526]~P93(x85261)+~P63(x85261)+~P1(f317(f317(f225(x85261),x85263),f2(x85261)))+P1(f317(f317(f225(x85261),f2(x85261)),f317(f94(x85261),x85262)))+~P1(f317(f317(f225(x85261),x85264),f317(f317(f75(x85261),x85263),f317(f94(x85261),x85262))))+P1(f317(f317(f225(x85261),x85263),f317(f317(f281(x85261),x85264),f317(f94(x85261),x85262))))
% 92.29/92.11 [8691]~P93(x86911)+~P63(x86911)+~P1(f317(f317(f225(x86911),f317(f94(x86911),x86912)),f2(x86911)))+P1(f317(f317(f225(x86911),f2(x86911)),f317(f94(x86911),x86912)))+~P1(f317(f317(f224(x86911),x86914),f317(f317(f75(x86911),x86913),f317(f94(x86911),x86912))))+P1(f317(f317(f224(x86911),x86913),f317(f317(f281(x86911),x86914),f317(f94(x86911),x86912))))
% 92.29/92.11 [8692]~P93(x86921)+~P63(x86921)+~P1(f317(f317(f225(x86921),f317(f94(x86921),x86922)),f2(x86921)))+P1(f317(f317(f225(x86921),f2(x86921)),f317(f94(x86921),x86922)))+~P1(f317(f317(f224(x86921),x86924),f317(f317(f281(x86921),x86923),f317(f94(x86921),x86922))))+P1(f317(f317(f224(x86921),x86923),f317(f317(f75(x86921),x86924),f317(f94(x86921),x86922))))
% 92.29/92.11 [8693]~P93(x86931)+~P63(x86931)+~P1(f317(f317(f225(x86931),f317(f94(x86931),x86932)),f2(x86931)))+P1(f317(f317(f225(x86931),f2(x86931)),f317(f94(x86931),x86932)))+~P1(f317(f317(f225(x86931),x86934),f317(f317(f75(x86931),x86933),f317(f94(x86931),x86932))))+P1(f317(f317(f225(x86931),x86933),f317(f317(f281(x86931),x86934),f317(f94(x86931),x86932))))
% 92.29/92.11 [8694]~P93(x86941)+~P63(x86941)+~P1(f317(f317(f225(x86941),f317(f94(x86941),x86942)),f2(x86941)))+P1(f317(f317(f225(x86941),f2(x86941)),f317(f94(x86941),x86942)))+~P1(f317(f317(f225(x86941),x86944),f317(f317(f281(x86941),x86943),f317(f94(x86941),x86942))))+P1(f317(f317(f225(x86941),x86943),f317(f317(f75(x86941),x86944),f317(f94(x86941),x86942))))
% 92.29/92.11 [7496]E(x74961,f2(a1))+E(f317(f317(f31(a1),x74962),x74961),x74963)+~P1(f317(f317(f224(a1),x74964),f2(a1)))+~E(x74962,f317(f317(f74(a1),f317(f317(f75(a1),x74961),x74963)),x74964))+P1(f317(f317(f225(a1),f2(a1)),x74961))+~P1(f317(f317(f225(a1),x74961),x74964))
% 92.29/92.11 [7513]E(f41(a1,x75132,x75131),x75133)+E(x75131,f2(a1))+~P1(f317(f317(f224(a1),x75133),f2(a1)))+~E(x75132,f317(f317(f74(a1),f317(f317(f75(a1),x75131),x75134)),x75133))+P1(f317(f317(f225(a1),f2(a1)),x75131))+~P1(f317(f317(f225(a1),x75131),x75133))
% 92.29/92.11 [7629]E(x76291,f2(a1))+E(f317(f317(f31(a1),x76292),x76291),x76293)+~E(x76292,f317(f317(f74(a1),f317(f317(f75(a1),x76291),x76293)),x76294))+~P1(f317(f317(f224(a1),f2(a1)),x76294))+~P1(f317(f317(f225(a1),f2(a1)),x76291))+~P1(f317(f317(f225(a1),x76294),x76291))
% 92.29/92.11 [7652]E(f41(a1,x76522,x76521),x76523)+E(x76521,f2(a1))+~E(x76522,f317(f317(f74(a1),f317(f317(f75(a1),x76521),x76524)),x76523))+~P1(f317(f317(f224(a1),f2(a1)),x76523))+~P1(f317(f317(f225(a1),f2(a1)),x76521))+~P1(f317(f317(f225(a1),x76523),x76521))
% 92.29/92.11 [7796]~P107(x77962)+E(x77961,f178(f904(x77962,a893)))+~P1(f317(f29(x77962),x77961))+~P1(f317(f317(f319(x77962),x77964),x77961))+~P1(f317(f317(f224(x77962),x77964),x77963))+P1(f317(f317(f224(x77962),f317(f58(x77962,f228(x77962)),x77961)),x77963))
% 92.29/92.11 [7797]~P107(x77972)+E(x77971,f178(f904(x77972,a893)))+~P1(f317(f29(x77972),x77971))+~P1(f317(f317(f225(x77972),x77974),x77973))+~P1(f317(f317(f319(x77972),x77974),x77971))+P1(f317(f317(f225(x77972),f317(f58(x77972,f228(x77972)),x77971)),x77973))
% 92.29/92.11 [8362]~P1(f317(f317(f224(a1),x83624),f2(a1)))+~E(x83621,f317(f317(f74(a1),f317(f317(f75(a1),x83622),x83623)),x83624))+~P1(f317(f317(f224(a1),f2(a1)),x83624))+~P1(f317(f317(f225(a1),x83624),x83622))+~P1(f317(f317(f225(a1),x83622),x83624))+P1(f317(f45(x83621,x83622),f317(f317(f242(a1,a1),x83623),x83624)))
% 92.29/92.11 [8487]~P93(x84871)+~P63(x84871)+P1(f317(f317(f225(x84871),f317(f94(x84871),x84872)),f2(x84871)))+~P1(f317(f317(f224(x84871),f2(x84871)),x84874))+P1(f317(f317(f225(x84871),f2(x84871)),f317(f94(x84871),x84872)))+P1(f317(f317(f224(x84871),f317(f317(f281(x84871),x84873),f317(f94(x84871),x84872))),x84874))
% 92.29/92.11 [8488]~P93(x84881)+~P63(x84881)+P1(f317(f317(f225(x84881),f317(f94(x84881),x84882)),f2(x84881)))+~P1(f317(f317(f225(x84881),f2(x84881)),x84884))+P1(f317(f317(f225(x84881),f2(x84881)),f317(f94(x84881),x84882)))+P1(f317(f317(f225(x84881),f317(f317(f281(x84881),x84883),f317(f94(x84881),x84882))),x84884))
% 92.29/92.11 [8599]~P93(x85991)+~P63(x85991)+~P1(f317(f317(f225(x85991),x85992),f2(x85991)))+P1(f317(f317(f225(x85991),f2(x85991)),x85992))+~P1(f317(f317(f224(x85991),f317(f94(x85991),x85994)),f317(f317(f281(x85991),x85993),x85992)))+P1(f317(f317(f224(x85991),x85993),f317(f317(f75(x85991),f317(f94(x85991),x85994)),x85992)))
% 92.29/92.11 [8600]~P93(x86001)+~P63(x86001)+~P1(f317(f317(f225(x86001),x86002),f2(x86001)))+P1(f317(f317(f225(x86001),f2(x86001)),x86002))+~P1(f317(f317(f225(x86001),f317(f94(x86001),x86004)),f317(f317(f281(x86001),x86003),x86002)))+P1(f317(f317(f225(x86001),x86003),f317(f317(f75(x86001),f317(f94(x86001),x86004)),x86002)))
% 92.29/92.11 [8636]~P93(x86361)+~P63(x86361)+~P1(f317(f317(f225(x86361),x86362),f2(x86361)))+P1(f317(f317(f225(x86361),f2(x86361)),x86362))+P1(f317(f317(f224(x86361),f317(f94(x86361),x86363)),f317(f317(f281(x86361),x86364),x86362)))+~P1(f317(f317(f224(x86361),x86364),f317(f317(f75(x86361),f317(f94(x86361),x86363)),x86362)))
% 92.29/92.11 [8637]~P93(x86371)+~P63(x86371)+~P1(f317(f317(f225(x86371),x86372),f2(x86371)))+P1(f317(f317(f225(x86371),f2(x86371)),x86372))+P1(f317(f317(f225(x86371),f317(f94(x86371),x86373)),f317(f317(f281(x86371),x86374),x86372)))+~P1(f317(f317(f225(x86371),x86374),f317(f317(f75(x86371),f317(f94(x86371),x86373)),x86372)))
% 92.29/92.11 [8731]~P93(x87311)+~P63(x87311)+P1(f317(f317(f225(x87311),f317(f94(x87311),x87313)),f2(x87311)))+P1(f317(f317(f224(x87311),f2(x87311)),x87312))+P1(f317(f317(f225(x87311),f2(x87311)),f317(f94(x87311),x87313)))+~P1(f317(f317(f224(x87311),f317(f317(f281(x87311),x87314),f317(f94(x87311),x87313))),x87312))
% 92.29/92.11 [8732]~P93(x87321)+~P63(x87321)+P1(f317(f317(f225(x87321),f317(f94(x87321),x87323)),f2(x87321)))+P1(f317(f317(f225(x87321),f2(x87321)),x87322))+P1(f317(f317(f225(x87321),f2(x87321)),f317(f94(x87321),x87323)))+~P1(f317(f317(f225(x87321),f317(f317(f281(x87321),x87324),f317(f94(x87321),x87323))),x87322))
% 92.29/92.11 [8783]~P93(x87831)+~P63(x87831)+~P1(f317(f317(f224(x87831),f317(f94(x87831),x87833)),f2(x87831)))+P1(f317(f317(f225(x87831),f2(x87831)),x87832))+P1(f317(f317(f224(x87831),f317(f94(x87831),x87833)),f317(f317(f281(x87831),x87834),x87832)))+~P1(f317(f317(f224(x87831),x87834),f317(f317(f75(x87831),f317(f94(x87831),x87833)),x87832)))
% 92.29/92.11 [8784]~P93(x87841)+~P63(x87841)+~P1(f317(f317(f225(x87841),f317(f94(x87841),x87843)),f2(x87841)))+P1(f317(f317(f225(x87841),f2(x87841)),x87842))+P1(f317(f317(f225(x87841),f317(f94(x87841),x87843)),f317(f317(f281(x87841),x87844),x87842)))+~P1(f317(f317(f225(x87841),x87844),f317(f317(f75(x87841),f317(f94(x87841),x87843)),x87842)))
% 92.29/92.11 [8792]~P93(x87921)+~P63(x87921)+P1(f317(f317(f225(x87921),x87922),f2(x87921)))+P1(f317(f317(f224(x87921),f317(f317(f281(x87921),x87923),x87922)),f317(f94(x87921),x87924)))+~P1(f317(f317(f224(x87921),f2(x87921)),f317(f94(x87921),x87924)))+~P1(f317(f317(f224(x87921),x87923),f317(f317(f75(x87921),f317(f94(x87921),x87924)),x87922)))
% 92.29/92.11 [8793]~P93(x87931)+~P63(x87931)+P1(f317(f317(f225(x87931),x87932),f2(x87931)))+P1(f317(f317(f225(x87931),f317(f317(f281(x87931),x87933),x87932)),f317(f94(x87931),x87934)))+~P1(f317(f317(f225(x87931),f2(x87931)),f317(f94(x87931),x87934)))+~P1(f317(f317(f225(x87931),x87933),f317(f317(f75(x87931),f317(f94(x87931),x87934)),x87932)))
% 92.29/92.11 [8813]~P93(x88131)+~P63(x88131)+P1(f317(f317(f225(x88131),f317(f94(x88131),x88132)),f2(x88131)))+~P1(f317(f317(f224(x88131),f2(x88131)),x88134))+~P1(f317(f317(f224(x88131),x88133),f317(f317(f75(x88131),x88134),f317(f94(x88131),x88132))))+P1(f317(f317(f224(x88131),f317(f317(f281(x88131),x88133),f317(f94(x88131),x88132))),x88134))
% 92.29/92.11 [8814]~P93(x88141)+~P63(x88141)+P1(f317(f317(f225(x88141),f317(f94(x88141),x88142)),f2(x88141)))+~P1(f317(f317(f225(x88141),f2(x88141)),x88144))+~P1(f317(f317(f225(x88141),x88143),f317(f317(f75(x88141),x88144),f317(f94(x88141),x88142))))+P1(f317(f317(f225(x88141),f317(f317(f281(x88141),x88143),f317(f94(x88141),x88142))),x88144))
% 92.29/92.11 [8906]~P93(x89061)+~P63(x89061)+P1(f317(f317(f225(x89061),f317(f94(x89061),x89062)),f2(x89061)))+~P1(f317(f317(f224(x89061),x89063),f2(x89061)))+P1(f317(f317(f224(x89061),x89063),f317(f317(f281(x89061),x89064),f317(f94(x89061),x89062))))+~P1(f317(f317(f224(x89061),f317(f317(f75(x89061),x89063),f317(f94(x89061),x89062))),x89064))
% 92.29/92.11 [8907]~P93(x89071)+~P63(x89071)+P1(f317(f317(f225(x89071),f317(f94(x89071),x89072)),f2(x89071)))+~P1(f317(f317(f225(x89071),x89073),f2(x89071)))+P1(f317(f317(f225(x89071),x89073),f317(f317(f281(x89071),x89074),f317(f94(x89071),x89072))))+~P1(f317(f317(f225(x89071),f317(f317(f75(x89071),x89073),f317(f94(x89071),x89072))),x89074))
% 92.29/92.11 [9024]~P93(x90241)+~P63(x90241)+~P1(f317(f317(f224(x90241),f2(x90241)),x90244))+P1(f317(f317(f225(x90241),f2(x90241)),f317(f94(x90241),x90242)))+~P1(f317(f317(f224(x90241),f317(f317(f75(x90241),x90244),f317(f94(x90241),x90242))),x90243))+P1(f317(f317(f224(x90241),f317(f317(f281(x90241),x90243),f317(f94(x90241),x90242))),x90244))
% 92.29/92.11 [9025]~P93(x90251)+~P63(x90251)+~P1(f317(f317(f225(x90251),f2(x90251)),x90254))+P1(f317(f317(f225(x90251),f2(x90251)),f317(f94(x90251),x90252)))+~P1(f317(f317(f225(x90251),f317(f317(f75(x90251),x90254),f317(f94(x90251),x90252))),x90253))+P1(f317(f317(f225(x90251),f317(f317(f281(x90251),x90253),f317(f94(x90251),x90252))),x90254))
% 92.29/92.11 [9081]~P93(x90811)+~P63(x90811)+~P1(f317(f317(f224(x90811),x90812),f2(x90811)))+P1(f317(f317(f224(x90811),x90812),f317(f317(f281(x90811),x90813),f317(f94(x90811),x90814))))+~P1(f317(f317(f224(x90811),x90813),f317(f317(f75(x90811),x90812),f317(f94(x90811),x90814))))+~P1(f317(f317(f224(x90811),f317(f317(f75(x90811),x90812),f317(f94(x90811),x90814))),x90813))
% 92.29/92.11 [9082]~P93(x90821)+~P63(x90821)+~P1(f317(f317(f225(x90821),x90822),f2(x90821)))+P1(f317(f317(f225(x90821),x90822),f317(f317(f281(x90821),x90823),f317(f94(x90821),x90824))))+~P1(f317(f317(f225(x90821),x90823),f317(f317(f75(x90821),x90822),f317(f94(x90821),x90824))))+~P1(f317(f317(f225(x90821),f317(f317(f75(x90821),x90822),f317(f94(x90821),x90824))),x90823))
% 92.29/92.11 [9109]~P93(x91091)+~P63(x91091)+~P1(f317(f317(f225(x91091),f317(f94(x91091),x91092)),f2(x91091)))+P1(f317(f317(f225(x91091),f2(x91091)),f317(f94(x91091),x91092)))+~P1(f317(f317(f224(x91091),f317(f317(f281(x91091),x91094),f317(f94(x91091),x91092))),x91093))+P1(f317(f317(f224(x91091),f317(f317(f75(x91091),x91093),f317(f94(x91091),x91092))),x91094))
% 92.29/92.11 [9110]~P93(x91101)+~P63(x91101)+~P1(f317(f317(f225(x91101),f317(f94(x91101),x91102)),f2(x91101)))+P1(f317(f317(f225(x91101),f2(x91101)),f317(f94(x91101),x91102)))+~P1(f317(f317(f224(x91101),f317(f317(f75(x91101),x91104),f317(f94(x91101),x91102))),x91103))+P1(f317(f317(f224(x91101),f317(f317(f281(x91101),x91103),f317(f94(x91101),x91102))),x91104))
% 92.29/92.11 [9111]~P93(x91111)+~P63(x91111)+~P1(f317(f317(f225(x91111),f317(f94(x91111),x91112)),f2(x91111)))+P1(f317(f317(f225(x91111),f2(x91111)),f317(f94(x91111),x91112)))+~P1(f317(f317(f225(x91111),f317(f317(f281(x91111),x91114),f317(f94(x91111),x91112))),x91113))+P1(f317(f317(f225(x91111),f317(f317(f75(x91111),x91113),f317(f94(x91111),x91112))),x91114))
% 92.29/92.11 [9112]~P93(x91121)+~P63(x91121)+~P1(f317(f317(f225(x91121),f317(f94(x91121),x91122)),f2(x91121)))+P1(f317(f317(f225(x91121),f2(x91121)),f317(f94(x91121),x91122)))+~P1(f317(f317(f225(x91121),f317(f317(f75(x91121),x91124),f317(f94(x91121),x91122))),x91123))+P1(f317(f317(f225(x91121),f317(f317(f281(x91121),x91123),f317(f94(x91121),x91122))),x91124))
% 92.29/92.11 [9190]~P93(x91901)+~P63(x91901)+~P1(f317(f317(f225(x91901),f317(f94(x91901),x91904)),f2(x91901)))+P1(f317(f317(f224(x91901),x91902),f317(f317(f281(x91901),x91903),f317(f94(x91901),x91904))))+~P1(f317(f317(f224(x91901),x91903),f317(f317(f75(x91901),x91902),f317(f94(x91901),x91904))))+~P1(f317(f317(f224(x91901),f317(f317(f75(x91901),x91902),f317(f94(x91901),x91904))),x91903))
% 92.29/92.11 [9191]~P93(x91911)+~P63(x91911)+~P1(f317(f317(f225(x91911),f317(f94(x91911),x91914)),f2(x91911)))+P1(f317(f317(f225(x91911),x91912),f317(f317(f281(x91911),x91913),f317(f94(x91911),x91914))))+~P1(f317(f317(f225(x91911),x91913),f317(f317(f75(x91911),x91912),f317(f94(x91911),x91914))))+~P1(f317(f317(f225(x91911),f317(f317(f75(x91911),x91912),f317(f94(x91911),x91914))),x91913))
% 92.29/92.11 [9235]~P93(x92351)+~P63(x92351)+~P1(f317(f317(f224(x92351),f2(x92351)),x92354))+~P1(f317(f317(f224(x92351),x92352),f317(f317(f75(x92351),x92354),f317(f94(x92351),x92353))))+~P1(f317(f317(f224(x92351),f317(f317(f75(x92351),x92354),f317(f94(x92351),x92353))),x92352))+P1(f317(f317(f224(x92351),f317(f317(f281(x92351),x92352),f317(f94(x92351),x92353))),x92354))
% 92.29/92.11 [9236]~P93(x92361)+~P63(x92361)+~P1(f317(f317(f225(x92361),f2(x92361)),x92364))+~P1(f317(f317(f225(x92361),x92362),f317(f317(f75(x92361),x92364),f317(f94(x92361),x92363))))+~P1(f317(f317(f225(x92361),f317(f317(f75(x92361),x92364),f317(f94(x92361),x92363))),x92362))+P1(f317(f317(f225(x92361),f317(f317(f281(x92361),x92362),f317(f94(x92361),x92363))),x92364))
% 92.29/92.11 [9271]~P93(x92711)+~P63(x92711)+~P1(f317(f317(f225(x92711),f317(f94(x92711),x92713)),f2(x92711)))+~P1(f317(f317(f224(x92711),x92712),f317(f317(f75(x92711),x92714),f317(f94(x92711),x92713))))+~P1(f317(f317(f224(x92711),f317(f317(f75(x92711),x92714),f317(f94(x92711),x92713))),x92712))+P1(f317(f317(f224(x92711),f317(f317(f281(x92711),x92712),f317(f94(x92711),x92713))),x92714))
% 92.29/92.11 [9272]~P93(x92721)+~P63(x92721)+~P1(f317(f317(f225(x92721),f317(f94(x92721),x92723)),f2(x92721)))+~P1(f317(f317(f225(x92721),x92722),f317(f317(f75(x92721),x92724),f317(f94(x92721),x92723))))+~P1(f317(f317(f225(x92721),f317(f317(f75(x92721),x92724),f317(f94(x92721),x92723))),x92722))+P1(f317(f317(f225(x92721),f317(f317(f281(x92721),x92722),f317(f94(x92721),x92723))),x92724))
% 92.29/92.11 [8970]~P93(x89701)+~P63(x89701)+~P1(f317(f317(f225(x89701),x89702),f2(x89701)))+~P1(f317(f317(f224(x89701),f317(f317(f281(x89701),x89704),x89702)),f317(f94(x89701),x89703)))+P1(f317(f317(f225(x89701),f2(x89701)),x89702))+P1(f317(f317(f224(x89701),f317(f317(f75(x89701),f317(f94(x89701),x89703)),x89702)),x89704))
% 92.29/92.11 [8971]~P93(x89711)+~P63(x89711)+~P1(f317(f317(f225(x89711),x89712),f2(x89711)))+~P1(f317(f317(f225(x89711),f317(f317(f281(x89711),x89714),x89712)),f317(f94(x89711),x89713)))+P1(f317(f317(f225(x89711),f2(x89711)),x89712))+P1(f317(f317(f225(x89711),f317(f317(f75(x89711),f317(f94(x89711),x89713)),x89712)),x89714))
% 92.29/92.11 [9085]~P93(x90851)+~P63(x90851)+~P1(f317(f317(f225(x90851),x90852),f2(x90851)))+P1(f317(f317(f225(x90851),f2(x90851)),x90852))+P1(f317(f317(f224(x90851),f317(f317(f281(x90851),x90853),x90852)),f317(f94(x90851),x90854)))+~P1(f317(f317(f224(x90851),f317(f317(f75(x90851),f317(f94(x90851),x90854)),x90852)),x90853))
% 92.29/92.11 [9086]~P93(x90861)+~P63(x90861)+~P1(f317(f317(f225(x90861),x90862),f2(x90861)))+P1(f317(f317(f225(x90861),f2(x90861)),x90862))+P1(f317(f317(f225(x90861),f317(f317(f281(x90861),x90863),x90862)),f317(f94(x90861),x90864)))+~P1(f317(f317(f225(x90861),f317(f317(f75(x90861),f317(f94(x90861),x90864)),x90862)),x90863))
% 92.29/92.11 [9124]~P93(x91241)+~P63(x91241)+P1(f317(f317(f225(x91241),x91242),f2(x91241)))+~P1(f317(f317(f224(x91241),f317(f94(x91241),x91243)),f2(x91241)))+P1(f317(f317(f224(x91241),f317(f94(x91241),x91243)),f317(f317(f281(x91241),x91244),x91242)))+~P1(f317(f317(f224(x91241),f317(f317(f75(x91241),f317(f94(x91241),x91243)),x91242)),x91244))
% 92.29/92.11 [9125]~P93(x91251)+~P63(x91251)+P1(f317(f317(f225(x91251),x91252),f2(x91251)))+~P1(f317(f317(f225(x91251),f317(f94(x91251),x91253)),f2(x91251)))+P1(f317(f317(f225(x91251),f317(f94(x91251),x91253)),f317(f317(f281(x91251),x91254),x91252)))+~P1(f317(f317(f225(x91251),f317(f317(f75(x91251),f317(f94(x91251),x91253)),x91252)),x91254))
% 92.29/92.11 [9140]~P93(x91401)+~P63(x91401)+P1(f317(f317(f225(x91401),f2(x91401)),x91402))+P1(f317(f317(f224(x91401),f317(f317(f281(x91401),x91403),x91402)),f317(f94(x91401),x91404)))+~P1(f317(f317(f224(x91401),f2(x91401)),f317(f94(x91401),x91404)))+~P1(f317(f317(f224(x91401),f317(f317(f75(x91401),f317(f94(x91401),x91404)),x91402)),x91403))
% 92.29/92.11 [9141]~P93(x91411)+~P63(x91411)+P1(f317(f317(f225(x91411),f2(x91411)),x91412))+P1(f317(f317(f225(x91411),f317(f317(f281(x91411),x91413),x91412)),f317(f94(x91411),x91414)))+~P1(f317(f317(f225(x91411),f2(x91411)),f317(f94(x91411),x91414)))+~P1(f317(f317(f225(x91411),f317(f317(f75(x91411),f317(f94(x91411),x91414)),x91412)),x91413))
% 92.29/92.11 [9303]~P93(x93031)+~P63(x93031)+~P1(f317(f317(f225(x93031),x93034),f2(x93031)))+P1(f317(f317(f224(x93031),f317(f94(x93031),x93032)),f317(f317(f281(x93031),x93033),x93034)))+~P1(f317(f317(f224(x93031),x93033),f317(f317(f75(x93031),f317(f94(x93031),x93032)),x93034)))+~P1(f317(f317(f224(x93031),f317(f317(f75(x93031),f317(f94(x93031),x93032)),x93034)),x93033))
% 92.29/92.11 [9304]~P93(x93041)+~P63(x93041)+~P1(f317(f317(f225(x93041),x93044),f2(x93041)))+P1(f317(f317(f225(x93041),f317(f94(x93041),x93042)),f317(f317(f281(x93041),x93043),x93044)))+~P1(f317(f317(f225(x93041),x93043),f317(f317(f75(x93041),f317(f94(x93041),x93042)),x93044)))+~P1(f317(f317(f225(x93041),f317(f317(f75(x93041),f317(f94(x93041),x93042)),x93044)),x93043))
% 92.29/92.11 [9339]~P93(x93391)+~P63(x93391)+~P1(f317(f317(f225(x93391),x93393),f2(x93391)))+P1(f317(f317(f224(x93391),f317(f317(f281(x93391),x93392),x93393)),f317(f94(x93391),x93394)))+~P1(f317(f317(f224(x93391),x93392),f317(f317(f75(x93391),f317(f94(x93391),x93394)),x93393)))+~P1(f317(f317(f224(x93391),f317(f317(f75(x93391),f317(f94(x93391),x93394)),x93393)),x93392))
% 92.29/92.11 [9340]~P93(x93401)+~P63(x93401)+~P1(f317(f317(f225(x93401),x93403),f2(x93401)))+P1(f317(f317(f225(x93401),f317(f317(f281(x93401),x93402),x93403)),f317(f94(x93401),x93404)))+~P1(f317(f317(f225(x93401),x93402),f317(f317(f75(x93401),f317(f94(x93401),x93404)),x93403)))+~P1(f317(f317(f225(x93401),f317(f317(f75(x93401),f317(f94(x93401),x93404)),x93403)),x93402))
% 92.29/92.11 [9360]~P93(x93601)+~P63(x93601)+~P1(f317(f317(f224(x93601),f317(f94(x93601),x93602)),f2(x93601)))+P1(f317(f317(f224(x93601),f317(f94(x93601),x93602)),f317(f317(f281(x93601),x93603),x93604)))+~P1(f317(f317(f224(x93601),x93603),f317(f317(f75(x93601),f317(f94(x93601),x93602)),x93604)))+~P1(f317(f317(f224(x93601),f317(f317(f75(x93601),f317(f94(x93601),x93602)),x93604)),x93603))
% 92.29/92.11 [9361]~P93(x93611)+~P63(x93611)+~P1(f317(f317(f225(x93611),f317(f94(x93611),x93612)),f2(x93611)))+P1(f317(f317(f225(x93611),f317(f94(x93611),x93612)),f317(f317(f281(x93611),x93613),x93614)))+~P1(f317(f317(f225(x93611),x93613),f317(f317(f75(x93611),f317(f94(x93611),x93612)),x93614)))+~P1(f317(f317(f225(x93611),f317(f317(f75(x93611),f317(f94(x93611),x93612)),x93614)),x93613))
% 92.29/92.11 [9365]~P93(x93651)+~P63(x93651)+P1(f317(f317(f224(x93651),f317(f317(f281(x93651),x93652),x93653)),f317(f94(x93651),x93654)))+~P1(f317(f317(f224(x93651),f2(x93651)),f317(f94(x93651),x93654)))+~P1(f317(f317(f224(x93651),x93652),f317(f317(f75(x93651),f317(f94(x93651),x93654)),x93653)))+~P1(f317(f317(f224(x93651),f317(f317(f75(x93651),f317(f94(x93651),x93654)),x93653)),x93652))
% 92.29/92.11 [9366]~P93(x93661)+~P63(x93661)+P1(f317(f317(f225(x93661),f317(f317(f281(x93661),x93662),x93663)),f317(f94(x93661),x93664)))+~P1(f317(f317(f225(x93661),f2(x93661)),f317(f94(x93661),x93664)))+~P1(f317(f317(f225(x93661),x93662),f317(f317(f75(x93661),f317(f94(x93661),x93664)),x93663)))+~P1(f317(f317(f225(x93661),f317(f317(f75(x93661),f317(f94(x93661),x93664)),x93663)),x93662))
% 92.29/92.11 [6153]~P132(x61532)+~P119(x61532)+~E(f317(x61533,x61535),f2(x61532))+E(f317(f317(f9(x61531,x61532),x61533),x61534),f2(x61532))+~P1(f317(f29(x61531),x61534))+~P1(f317(f317(f319(x61531),x61535),x61534))
% 92.29/92.11 [8530]~P108(x85301)+P1(f317(f317(f225(f904(x85301,a893)),f293(x85301,x85302,x85303)),f293(x85301,x85304,x85305)))+~P1(f317(f317(f224(x85301),x85304),x85302))+~P1(f317(f317(f224(x85301),x85304),x85305))+~P1(f317(f317(f224(x85301),x85303),x85305))+~P1(f317(f317(f225(x85301),x85303),x85305))
% 92.29/92.11 [8531]~P108(x85311)+P1(f317(f317(f225(f904(x85311,a893)),f293(x85311,x85312,x85313)),f293(x85311,x85314,x85315)))+~P1(f317(f317(f224(x85311),x85313),x85315))+~P1(f317(f317(f224(x85311),x85314),x85315))+~P1(f317(f317(f224(x85311),x85314),x85312))+~P1(f317(f317(f225(x85311),x85314),x85312))
% 92.29/92.11 [9394]P58(x93942,x93943,x93944,x93941)+E(x93941,f178(f904(x93942,a893)))+~P1(f317(f29(x93942),x93944))+~P1(f317(f29(x93942),x93941))+~P1(f317(f317(x93943,f482(x93941,x93944,x93943,x93942)),x93945))+~P1(f317(f317(f319(x93942),x93945),x93941))
% 92.29/92.11 [9395]P58(x93952,x93953,x93954,x93951)+E(x93951,f178(f904(x93952,a893)))+~P1(f317(f29(x93952),x93954))+~P1(f317(f29(x93952),x93951))+~P1(f317(f317(x93953,f775(x93953,x93951,x93954,x93952)),x93955))+~P1(f317(f317(f319(x93952),x93955),x93951))
% 92.29/92.11 [9396]P58(x93962,x93963,x93964,x93961)+E(x93961,f178(f904(x93962,a893)))+~P1(f317(f29(x93962),x93964))+~P1(f317(f29(x93962),x93961))+~P1(f317(f317(x93963,f776(x93961,x93964,x93963,x93962)),x93965))+~P1(f317(f317(f319(x93962),x93965),x93961))
% 92.29/92.11 [9544]~E(x95443,x95445)+~P76(x95441)+~P77(x95441)+~P39(x95443)+E(f317(f317(f9(a1,x95441),x95442),x95443),f317(f317(f9(a1,x95441),x95444),x95445))+P1(f317(f317(f224(a1),f2(a1)),f459(x95442,x95444,x95443,x95445,x95441)))
% 92.29/92.11 [9545]~E(x95453,x95455)+~P76(x95451)+~P77(x95451)+~P39(x95453)+E(f317(f317(f6(a1,x95451),x95452),x95453),f317(f317(f6(a1,x95451),x95454),x95455))+P1(f317(f317(f224(a1),f2(a1)),f463(x95452,x95454,x95453,x95455,x95451)))
% 92.29/92.11 [9726]~E(x97265,x97263)+~P76(x97261)+~P77(x97261)+~P39(x97265)+~E(f317(x97262,f459(x97264,x97262,x97265,x97263,x97261)),f317(x97264,f459(x97264,x97262,x97265,x97263,x97261)))+E(f317(f317(f9(a1,x97261),x97262),x97263),f317(f317(f9(a1,x97261),x97264),x97265))
% 92.29/92.11 [9727]~E(x97275,x97273)+~P76(x97271)+~P77(x97271)+~P39(x97275)+~E(f317(x97272,f463(x97274,x97272,x97275,x97273,x97271)),f317(x97274,f463(x97274,x97272,x97275,x97273,x97271)))+E(f317(f317(f6(a1,x97271),x97272),x97273),f317(f317(f6(a1,x97271),x97274),x97275))
% 92.29/92.11 [9814]~P67(x98143)+E(f317(x98141,x98142),f2(x98143))+~E(f317(f317(f6(x98144,x98143),x98141),x98145),f2(x98143))+~P1(f317(f29(x98144),x98145))+P1(f317(f317(f319(x98144),f431(x98142,x98141,x98145,x98144,x98143)),x98145))+~P1(f317(f317(f319(x98144),x98142),x98145))
% 92.29/92.11 [9941]~P67(x99413)+E(f317(x99411,x99412),f2(x99413))+~E(f317(f317(f6(x99414,x99413),x99411),x99415),f2(x99413))+~P1(f317(f29(x99414),x99415))+~P1(f317(f317(f319(x99414),x99412),x99415))+~P1(f317(f317(f224(x99413),f2(x99413)),f317(x99411,f431(x99412,x99411,x99415,x99414,x99413))))
% 92.29/92.11 [8447]~P136(x84471)+~P1(f317(f317(f224(x84471),x84473),x84475))+~P1(f317(f317(f224(x84471),x84472),x84474))+~P1(f317(f317(f224(x84471),f2(x84471)),x84473))+~P1(f317(f317(f224(x84471),f2(x84471)),x84474))+P1(f317(f317(f224(x84471),f317(f317(f75(x84471),x84472),x84473)),f317(f317(f75(x84471),x84474),x84475)))
% 92.29/92.11 [8448]~P136(x84481)+~P1(f317(f317(f224(x84481),x84483),x84485))+~P1(f317(f317(f224(x84481),x84482),x84484))+~P1(f317(f317(f224(x84481),f2(x84481)),x84483))+~P1(f317(f317(f224(x84481),f2(x84481)),x84482))+P1(f317(f317(f224(x84481),f317(f317(f75(x84481),x84482),x84483)),f317(f317(f75(x84481),x84484),x84485)))
% 92.29/92.11 [8449]~P64(x84491)+~P1(f317(f317(f225(x84491),f2(x84491)),x84495))+~P1(f317(f317(f224(x84491),x84495),x84493))+~P1(f317(f317(f224(x84491),x84492),x84494))+~P1(f317(f317(f224(x84491),f2(x84491)),x84492))+P1(f317(f317(f224(x84491),f317(f317(f281(x84491),x84492),x84493)),f317(f317(f281(x84491),x84494),x84495)))
% 92.29/92.11 [8450]~P127(x84501)+~P1(f317(f317(f224(x84501),x84503),x84505))+~P1(f317(f317(f224(x84501),f2(x84501)),x84502))+~P1(f317(f317(f225(x84501),x84502),x84504))+~P1(f317(f317(f225(x84501),f2(x84501)),x84503))+P1(f317(f317(f225(x84501),f317(f317(f75(x84501),x84502),x84503)),f317(f317(f75(x84501),x84504),x84505)))
% 92.29/92.11 [8451]~P127(x84511)+~P1(f317(f317(f224(x84511),x84512),x84514))+~P1(f317(f317(f224(x84511),f2(x84511)),x84513))+~P1(f317(f317(f225(x84511),x84513),x84515))+~P1(f317(f317(f225(x84511),f2(x84511)),x84512))+P1(f317(f317(f225(x84511),f317(f317(f75(x84511),x84512),x84513)),f317(f317(f75(x84511),x84514),x84515)))
% 92.29/92.11 [8452]~P127(x84521)+~P1(f317(f317(f224(x84521),f2(x84521)),x84523))+~P1(f317(f317(f224(x84521),f2(x84521)),x84522))+~P1(f317(f317(f225(x84521),x84523),x84525))+~P1(f317(f317(f225(x84521),x84522),x84524))+P1(f317(f317(f225(x84521),f317(f317(f75(x84521),x84522),x84523)),f317(f317(f75(x84521),x84524),x84525)))
% 92.29/92.11 [8453]~P127(x84531)+~P1(f317(f317(f224(x84531),f2(x84531)),x84533))+~P1(f317(f317(f225(x84531),x84533),x84535))+~P1(f317(f317(f225(x84531),x84532),x84534))+~P1(f317(f317(f225(x84531),f2(x84531)),x84534))+P1(f317(f317(f225(x84531),f317(f317(f75(x84531),x84532),x84533)),f317(f317(f75(x84531),x84534),x84535)))
% 92.29/92.11 [8454]~P64(x84541)+~P1(f317(f317(f224(x84541),x84545),x84543))+~P1(f317(f317(f224(x84541),f2(x84541)),x84542))+~P1(f317(f317(f225(x84541),x84542),x84544))+~P1(f317(f317(f225(x84541),f2(x84541)),x84545))+P1(f317(f317(f225(x84541),f317(f317(f281(x84541),x84542),x84543)),f317(f317(f281(x84541),x84544),x84545)))
% 92.29/92.11 [8455]~P64(x84551)+~P1(f317(f317(f224(x84551),x84552),x84554))+~P1(f317(f317(f225(x84551),x84555),x84553))+~P1(f317(f317(f225(x84551),f2(x84551)),x84555))+~P1(f317(f317(f225(x84551),f2(x84551)),x84552))+P1(f317(f317(f225(x84551),f317(f317(f281(x84551),x84552),x84553)),f317(f317(f281(x84551),x84554),x84555)))
% 92.29/92.11 [9857]~P86(x98575)+~P77(x98575)+E(x98571,f178(f904(x98572,a893)))+~P1(f317(f29(x98572),x98571))+P1(f317(f317(f319(x98572),f454(x98573,x98574,x98571,x98572,x98575)),x98571))+P1(f317(f317(f225(x98575),f317(f317(f6(x98572,x98575),x98574),x98571)),f317(f317(f6(x98572,x98575),x98573),x98571)))
% 92.29/92.11 [9966]~P84(x99661)+~P77(x99661)+~P1(f317(f29(x99662),x99665))+~P1(f317(f317(f224(x99661),f2(x99661)),f317(x99663,f421(x99663,x99664,x99665,x99662,x99661))))+P1(f317(f317(f224(x99661),f317(f317(f6(x99662,x99661),x99663),x99664)),f317(f317(f6(x99662,x99661),x99663),x99665)))+~P1(f317(f317(f224(f904(x99662,a893)),x99664),x99665))
% 92.29/92.11 [10135]~P86(x101353)+~P77(x101353)+E(x101351,f178(f904(x101352,a893)))+~P1(f317(f29(x101352),x101351))+~P1(f317(f317(f225(x101353),f317(x101354,f454(x101355,x101354,x101351,x101352,x101353))),f317(x101355,f454(x101355,x101354,x101351,x101352,x101353))))+P1(f317(f317(f225(x101353),f317(f317(f6(x101352,x101353),x101354),x101351)),f317(f317(f6(x101352,x101353),x101355),x101351)))
% 92.29/92.11 [7172]~P17(x71722,x71725,x71724)+E(x71721,f178(f904(x71722,a893)))+E(x71723,f178(f904(x71722,a893)))+~P1(f317(f29(x71722),x71721))+~P1(f317(f29(x71722),x71723))+E(f317(x71724,f317(f317(f91(f904(x71722,a893)),x71723),x71721)),f317(f317(x71725,f317(x71724,x71723)),f317(x71724,x71721)))
% 92.29/92.11 [7762]~P148(x77621,x77624,x77623)+P1(f317(x77621,x77622))+~P1(f317(f317(f225(a1),x77624),f2(a1)))+~P1(f317(f317(f224(a1),x77625),f2(a1)))+~E(x77623,f317(f317(f74(a1),f317(f317(f75(a1),x77624),x77622)),x77625))+~P1(f317(f317(f225(a1),x77624),x77625))
% 92.29/92.11 [7763]~P147(x77631,x77634,x77633)+P1(f317(x77631,x77632))+~P1(f317(f317(f225(a1),x77634),f2(a1)))+~P1(f317(f317(f224(a1),x77632),f2(a1)))+~E(x77633,f317(f317(f74(a1),f317(f317(f75(a1),x77634),x77635)),x77632))+~P1(f317(f317(f225(a1),x77634),x77632))
% 92.29/92.11 [7805]~P148(x78051,x78054,x78053)+P1(f317(x78051,x78052))+~E(x78053,f317(f317(f74(a1),f317(f317(f75(a1),x78054),x78052)),x78055))+~P1(f317(f317(f224(a1),f2(a1)),x78055))+~P1(f317(f317(f225(a1),f2(a1)),x78054))+~P1(f317(f317(f225(a1),x78055),x78054))
% 92.29/92.11 [7806]~P147(x78061,x78064,x78063)+P1(f317(x78061,x78062))+~E(x78063,f317(f317(f74(a1),f317(f317(f75(a1),x78064),x78065)),x78062))+~P1(f317(f317(f224(a1),f2(a1)),x78062))+~P1(f317(f317(f225(a1),f2(a1)),x78064))+~P1(f317(f317(f225(a1),x78062),x78064))
% 92.29/92.11 [8739]P1(f317(f317(x87391,x87392),x87393))+~P1(f317(f317(x87391,f317(f317(f31(a1),x87394),x87395)),f41(a1,x87394,x87395)))+~P1(f317(f317(f225(a1),x87395),f2(a1)))+~P1(f317(f317(f224(a1),x87393),f2(a1)))+~E(x87394,f317(f317(f74(a1),f317(f317(f75(a1),x87395),x87392)),x87393))+~P1(f317(f317(f225(a1),x87395),x87393))
% 92.29/92.11 [8748]P1(f317(f317(x87481,x87482),x87483))+~P1(f317(f317(x87481,f317(f317(f31(a1),x87484),x87485)),f41(a1,x87484,x87485)))+~E(x87484,f317(f317(f74(a1),f317(f317(f75(a1),x87485),x87482)),x87483))+~P1(f317(f317(f224(a1),f2(a1)),x87483))+~P1(f317(f317(f225(a1),f2(a1)),x87485))+~P1(f317(f317(f225(a1),x87483),x87485))
% 92.29/92.11 [9009]E(x90091,x90092)+~P55(x90093,x90095,x90094)+~P1(f317(f317(f319(x90093),x90092),x90095))+~P1(f317(f317(f319(x90093),x90091),x90095))+P1(f317(f317(f319(f903(x90093,x90093)),f317(f317(f242(x90093,x90093),x90091),x90092)),x90094))+P1(f317(f317(f319(f903(x90093,x90093)),f317(f317(f242(x90093,x90093),x90092),x90091)),x90094))
% 92.29/92.11 [9884]~P84(x98845)+~P77(x98845)+~P1(f317(f29(x98841),x98844))+P1(f317(f317(f224(x98845),f317(f317(f6(x98841,x98845),x98842),x98843)),f317(f317(f6(x98841,x98845),x98842),x98844)))+~P1(f317(f317(f224(f904(x98841,a893)),x98843),x98844))+P1(f317(f317(f319(x98841),f421(x98842,x98843,x98844,x98841,x98845)),f317(f317(f23(f904(x98841,a893)),x98844),x98843)))
% 92.29/92.11 [9974]E(x99741,f178(f904(x99742,a893)))+~P1(f317(f29(x99742),x99743))+~P1(f317(f29(x99742),x99741))+P1(f317(f317(f319(f903(f904(x99742,a893),f904(x99742,a893))),f317(f317(f242(f904(x99742,a893),f904(x99742,a893)),x99743),x99741)),f309(x99742,x99744)))+~P1(f317(f317(f319(x99742),x99745),x99741))+~P1(f317(f317(f319(f903(x99742,x99742)),f317(f317(f242(x99742,x99742),f485(x99744,x99741,x99743,x99742)),x99745)),x99744))
% 92.29/92.11 [9975]E(x99751,f178(f904(x99752,a893)))+~P1(f317(f29(x99752),x99753))+~P1(f317(f29(x99752),x99751))+P1(f317(f317(f319(f903(f904(x99752,a893),f904(x99752,a893))),f317(f317(f242(f904(x99752,a893),f904(x99752,a893)),x99753),x99751)),f309(x99752,x99754)))+~P1(f317(f317(f319(x99752),x99755),x99751))+~P1(f317(f317(f319(f903(x99752,x99752)),f317(f317(f242(x99752,x99752),f573(x99754,x99751,x99753,x99752)),x99755)),x99754))
% 92.29/92.11 [10139]~P67(x101391)+~E(f317(f317(f6(x101395,x101391),x101392),x101396),x101394)+~P1(f317(f29(x101395),x101396))+P1(f317(f317(f319(x101395),f447(x101393,x101394,x101392,x101396,x101395,x101391)),x101396))+P1(f317(f317(f224(x101391),f317(x101392,x101393)),x101394))+~P1(f317(f317(f319(x101395),x101393),x101396))
% 92.29/92.11 [10187]~P67(x101871)+~E(f317(f317(f6(x101875,x101871),x101872),x101876),x101874)+~P1(f317(f29(x101875),x101876))+~P1(f317(f317(f319(x101875),x101873),x101876))+~P1(f317(f317(f224(x101871),f2(x101871)),f317(x101872,f447(x101873,x101874,x101872,x101876,x101875,x101871))))+P1(f317(f317(f224(x101871),f317(x101872,x101873)),x101874))
% 92.29/92.11 [10329]~E(x103295,x103298)+~E(x103294,x103297)+~P109(x103291)+~P77(x103292)+E(f317(f317(f6(x103291,x103292),x103293),f317(f292(x103291,x103294),x103295)),f317(f317(f6(x103291,x103292),x103296),f317(f292(x103291,x103297),x103298)))+P1(f317(f317(f224(x103291),x103294),f582(x103293,x103296,x103295,x103298,x103294,x103297,x103291,x103292)))
% 92.29/92.11 [10345]~E(x103457,x103454)+~E(x103458,x103455)+~P109(x103451)+~P77(x103452)+~E(f317(x103453,f582(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)),f317(x103456,f582(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)))+E(f317(f317(f6(x103451,x103452),x103453),f317(f292(x103451,x103454),x103455)),f317(f317(f6(x103451,x103452),x103456),f317(f292(x103451,x103457),x103458)))
% 92.29/92.11 [10348]~E(x103484,x103487)+~E(x103485,x103488)+~P109(x103481)+~P77(x103482)+E(f317(f317(f6(x103481,x103482),x103483),f317(f292(x103481,x103484),x103485)),f317(f317(f6(x103481,x103482),x103486),f317(f292(x103481,x103487),x103488)))+P1(f317(f317(f225(x103481),f582(x103483,x103486,x103485,x103488,x103484,x103487,x103481,x103482)),x103485))
% 92.29/92.11 [9981]~P8(x99815,x99819,x99816)+~P8(x99811,x998110,x99813)+~P12(x99811,x99815,f904(x99812,a893),x99813,x99816,x99818)+~P1(f317(f317(f319(x99815),x99817),x99819))+~P1(f317(f317(f319(x99811),x99814),x998110))+E(f317(f317(f35(x99811,f904(x99812,a893)),f317(f275(x99811,x99811,x99813),f317(f317(f299(x99811),x99814),f178(f904(x99811,a893))))),f317(f317(f8(f904(x99815,f904(x99812,a893)),f904(x99812,a893),x99811),f317(f35(x99815,f904(x99812,a893)),f317(f275(x99815,x99815,x99816),f317(f317(f299(x99815),x99817),f178(f904(x99815,a893)))))),x99818)),f317(f317(x99818,x99814),x99817))
% 92.29/92.11 [5662]~P107(x56623)+~P13(x56623,x56622)+~P13(x56623,x56621)+E(x56621,x56622)+~E(f317(f162(x56623),x56621),f317(f162(x56623),x56622))+~P1(f317(f127(x56623),x56622))+~P1(f317(f127(x56623),x56621))
% 92.29/92.11 [4989]~P132(x49892)+~P133(x49892)+~P143(x49892)+~P114(x49892)+~E(x49893,f2(x49892))+E(x49891,f2(a897))+E(f317(f317(f234(x49892),x49893),x49891),f2(x49892))
% 92.29/92.11 [9266]E(x92661,f2(a897))+~E(x92662,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x92663)),x92661)),f317(f246(a897,a897),x92663)))+P1(f317(f44(x92662,x92661),x92663))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x92663)),f2(a897)))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x92663)))+~P1(f317(f317(f225(a897),x92661),f317(f246(a897,a897),x92663)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x92663)),x92661))
% 92.29/92.11 [9274]~E(f317(f241(a897,a897),x92743),f2(a897))+~E(x92741,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x92743)),x92742)),f317(f246(a897,a897),x92743)))+P1(f317(f44(x92741,x92742),x92743))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x92743)),f2(a897)))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x92743)))+~P1(f317(f317(f225(a897),x92742),f317(f246(a897,a897),x92743)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x92743)),x92742))
% 92.29/92.11 [7642]~P107(x76422)+E(x76421,f178(f904(x76422,a893)))+E(x76423,f178(f904(x76422,a893)))+~P1(f317(f29(x76422),x76421))+~P1(f317(f29(x76422),x76423))+~E(f317(f317(f92(f904(x76422,a893)),x76423),x76421),f178(f904(x76422,a893)))+E(f14(x76422,f317(f317(f91(f904(x76422,a893)),x76423),x76421)),f317(f317(f228(x76422),f14(x76422,x76423)),f14(x76422,x76421)))
% 92.29/92.11 [7643]~P107(x76432)+E(x76431,f178(f904(x76432,a893)))+E(x76433,f178(f904(x76432,a893)))+~P1(f317(f29(x76432),x76431))+~P1(f317(f29(x76432),x76433))+~E(f317(f317(f92(f904(x76432,a893)),x76433),x76431),f178(f904(x76432,a893)))+E(f15(x76432,f317(f317(f91(f904(x76432,a893)),x76433),x76431)),f317(f317(f223(x76432),f15(x76432,x76433)),f15(x76432,x76431)))
% 92.29/92.11 [7644]~P99(x76442)+E(x76441,f178(f904(x76442,a893)))+E(x76443,f178(f904(x76442,a893)))+~P1(f317(f29(x76442),x76441))+~P1(f317(f29(x76442),x76443))+~E(f317(f317(f92(f904(x76442,a893)),x76443),x76441),f178(f904(x76442,a893)))+E(f13(x76442,f317(f317(f91(f904(x76442,a893)),x76443),x76441)),f317(f317(f91(x76442),f13(x76442,x76443)),f13(x76442,x76441)))
% 92.29/92.11 [7645]~P99(x76452)+E(x76451,f178(f904(x76452,a893)))+E(x76453,f178(f904(x76452,a893)))+~P1(f317(f29(x76452),x76451))+~P1(f317(f29(x76452),x76453))+~E(f317(f317(f92(f904(x76452,a893)),x76453),x76451),f178(f904(x76452,a893)))+E(f10(x76452,f317(f317(f91(f904(x76452,a893)),x76453),x76451)),f317(f317(f92(x76452),f10(x76452,x76453)),f10(x76452,x76451)))
% 92.29/92.11 [8116]~P73(x81162)+E(x81161,f178(f904(x81162,a893)))+E(x81163,f178(f904(x81162,a893)))+~P1(f317(f29(x81162),x81161))+~P1(f317(f29(x81162),x81163))+~E(f317(f317(f92(f904(x81162,a893)),x81163),x81161),f178(f904(x81162,a893)))+E(f317(f317(f75(x81162),f317(f58(x81162,f75(x81162)),x81163)),f317(f58(x81162,f75(x81162)),x81161)),f317(f58(x81162,f75(x81162)),f317(f317(f91(f904(x81162,a893)),x81163),x81161)))
% 92.29/92.11 [8189]~P107(x81892)+E(x81891,f178(f904(x81892,a893)))+E(x81893,f178(f904(x81892,a893)))+~P1(f317(f29(x81892),x81891))+~P1(f317(f29(x81892),x81893))+~E(f317(f317(f92(f904(x81892,a893)),x81893),x81891),f178(f904(x81892,a893)))+E(f317(f317(f228(x81892),f11(x81892,f228(x81892),x81893)),f11(x81892,f228(x81892),x81891)),f11(x81892,f228(x81892),f317(f317(f91(f904(x81892,a893)),x81893),x81891)))
% 92.29/92.11 [8190]~P107(x81902)+E(x81901,f178(f904(x81902,a893)))+E(x81903,f178(f904(x81902,a893)))+~P1(f317(f29(x81902),x81901))+~P1(f317(f29(x81902),x81903))+~E(f317(f317(f92(f904(x81902,a893)),x81903),x81901),f178(f904(x81902,a893)))+E(f317(f317(f223(x81902),f12(x81902,f223(x81902),x81903)),f12(x81902,f223(x81902),x81901)),f12(x81902,f223(x81902),f317(f317(f91(f904(x81902,a893)),x81903),x81901)))
% 92.29/92.11 [7901]E(x79011,f2(a1))+E(f317(f317(f31(a1),x79012),x79011),x79013)+~P1(f317(f317(f224(a1),x79014),f2(a1)))+~E(x79012,f317(f317(f74(a1),f317(f317(f75(a1),x79011),x79013)),x79014))+~P1(f317(f317(f224(a1),f2(a1)),x79014))+~P1(f317(f317(f225(a1),x79014),x79011))+~P1(f317(f317(f225(a1),x79011),x79014))
% 92.29/92.11 [7909]E(f41(a1,x79092,x79091),x79093)+E(x79091,f2(a1))+~P1(f317(f317(f224(a1),x79093),f2(a1)))+~E(x79092,f317(f317(f74(a1),f317(f317(f75(a1),x79091),x79094)),x79093))+~P1(f317(f317(f224(a1),f2(a1)),x79093))+~P1(f317(f317(f225(a1),x79093),x79091))+~P1(f317(f317(f225(a1),x79091),x79093))
% 92.29/92.11 [6950]~P3(x69502)+E(x69501,f2(x69502))+E(x69503,f2(x69502))+~E(f317(f317(f31(x69502),x69504),x69503),f317(f317(f31(x69502),x69505),x69501))+E(f317(f317(f75(x69502),x69504),x69501),f317(f317(f75(x69502),x69503),x69505))+~P1(f317(f317(f277(x69502),x69501),x69505))+~P1(f317(f317(f277(x69502),x69503),x69504))
% 92.29/92.11 [6951]~P3(x69512)+E(x69511,f2(x69512))+E(x69513,f2(x69512))+~E(f317(f317(f75(x69512),x69514),x69513),f317(f317(f75(x69512),x69511),x69515))+E(f317(f317(f31(x69512),x69514),x69511),f317(f317(f31(x69512),x69515),x69513))+~P1(f317(f317(f277(x69512),x69511),x69514))+~P1(f317(f317(f277(x69512),x69513),x69515))
% 92.29/92.11 [7815]~P18(x78152,x78155,x78154)+E(x78151,f178(f904(x78152,a893)))+E(x78153,f178(f904(x78152,a893)))+~P1(f317(f29(x78152),x78151))+~P1(f317(f29(x78152),x78153))+~E(f317(f317(f92(f904(x78152,a893)),x78153),x78151),f178(f904(x78152,a893)))+E(f317(x78154,f317(f317(f91(f904(x78152,a893)),x78153),x78151)),f317(f317(x78155,f317(x78154,x78153)),f317(x78154,x78151)))
% 92.29/92.11 [9517]~P24(x95173,x95171,x95175,x95174)+~P24(x95171,x95173,x95176,x95172)+E(f317(f30(x95171),x95172),f317(f30(x95173),x95174))+~P1(f317(f29(x95173),x95174))+~P1(f317(f29(x95171),x95172))+~P1(f317(f317(f224(f904(x95173,a893)),f317(f300(x95171,x95173,x95176),x95172)),x95174))+~P1(f317(f317(f224(f904(x95171,a893)),f317(f300(x95173,x95171,x95175),x95174)),x95172))
% 92.29/92.11 [9459]~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94595),x94591)),x94596)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94593),x94592)),x94594),f317(f317(f74(a1),f317(f317(f75(a1),x94595),x94591)),x94596))+~P1(f317(f317(f224(a1),f2(a1)),x94596))+~P1(f317(f317(f225(a1),f2(a1)),x94595))+~P1(f317(f317(f224(a1),x94595),x94593))+~P1(f317(f317(f225(a1),x94594),x94593))+P1(f317(f317(f224(a1),x94591),x94592))
% 92.29/92.11 [9217]~E(f317(f317(f74(a1),f317(f317(f75(a1),x92173),x92171)),x92174),f317(f317(f74(a1),f317(f317(f75(a1),x92175),x92172)),x92176))+~P1(f317(f317(f224(a1),f2(a1)),x92174))+~P1(f317(f317(f225(a1),f2(a1)),x92175))+~P1(f317(f317(f224(a1),x92175),x92173))+~P1(f317(f317(f225(a1),x92176),x92175))+P1(f317(f317(f224(a1),x92171),x92172))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92175),x92172)),x92176)))
% 92.29/92.11 [9399]~P129(x93991)+~E(f317(f317(f74(x93991),x93992),x93994),f72(x93991))+~P1(f317(f317(f224(x93991),x93995),x93996))+~P1(f317(f317(f224(x93991),x93993),x93996))+~P1(f317(f317(f224(x93991),f2(x93991)),x93994))+~P1(f317(f317(f224(x93991),f2(x93991)),x93992))+P1(f317(f317(f224(x93991),f317(f317(f74(x93991),f317(f317(f75(x93991),x93992),x93993)),f317(f317(f75(x93991),x93994),x93995))),x93996))
% 92.29/92.11 [9400]~P130(x94001)+~E(f317(f317(f74(x94001),x94002),x94004),f72(x94001))+~P1(f317(f317(f224(x94001),f2(x94001)),x94004))+~P1(f317(f317(f224(x94001),f2(x94001)),x94002))+~P1(f317(f317(f225(x94001),x94005),x94006))+~P1(f317(f317(f225(x94001),x94003),x94006))+P1(f317(f317(f225(x94001),f317(f317(f74(x94001),f317(f317(f75(x94001),x94002),x94003)),f317(f317(f75(x94001),x94004),x94005))),x94006))
% 92.29/92.11 [10234]~P8(x102347,x102346,x102345)+E(x102341,x102342)+~P11(x102347,f904(x102344,a893),x102345,x102343)+E(f317(x102343,f426(x102341,x102342,x102343,x102344,x102345,x102346,x102347)),f317(x102343,f427(x102341,x102342,x102343,x102344,x102345,x102346,x102347)))+~E(f317(f317(f35(x102347,f904(x102344,a893)),x102341),x102343),f317(f317(f35(x102347,f904(x102344,a893)),x102342),x102343))+~P1(f317(f317(f319(f904(x102347,a893)),x102342),f317(f317(f56(x102347),x102346),x102345)))+~P1(f317(f317(f319(f904(x102347,a893)),x102341),f317(f317(f56(x102347),x102346),x102345)))
% 92.29/92.11 [10285]~P8(x102853,x102857,x102856)+E(x102851,x102852)+~P11(x102853,f904(x102855,a893),x102856,x102854)+~E(f317(f317(f35(x102853,f904(x102855,a893)),x102851),x102854),f317(f317(f35(x102853,f904(x102855,a893)),x102852),x102854))+P1(f317(f317(f319(x102853),f427(x102851,x102852,x102854,x102855,x102856,x102857,x102853)),x102857))+~P1(f317(f317(f319(f904(x102853,a893)),x102852),f317(f317(f56(x102853),x102857),x102856)))+~P1(f317(f317(f319(f904(x102853,a893)),x102851),f317(f317(f56(x102853),x102857),x102856)))
% 92.29/92.11 [10286]~P8(x102863,x102867,x102866)+E(x102861,x102862)+~P11(x102863,f904(x102865,a893),x102866,x102864)+~E(f317(f317(f35(x102863,f904(x102865,a893)),x102861),x102864),f317(f317(f35(x102863,f904(x102865,a893)),x102862),x102864))+P1(f317(f317(f319(x102863),f426(x102861,x102862,x102864,x102865,x102866,x102867,x102863)),x102867))+~P1(f317(f317(f319(f904(x102863,a893)),x102862),f317(f317(f56(x102863),x102867),x102866)))+~P1(f317(f317(f319(f904(x102863,a893)),x102861),f317(f317(f56(x102863),x102867),x102866)))
% 92.29/92.11 [10364]E(x103641,x103642)+~P8(x103643,x103646,x103647)+~P11(x103643,f904(x103644,a893),x103647,x103645)+~E(f317(f317(f35(x103643,f904(x103644,a893)),x103641),x103645),f317(f317(f35(x103643,f904(x103644,a893)),x103642),x103645))+~P1(f317(f317(f319(f903(x103643,x103643)),f317(f317(f242(x103643,x103643),f427(x103641,x103642,x103645,x103644,x103647,x103646,x103643)),f426(x103641,x103642,x103645,x103644,x103647,x103646,x103643))),x103647))+~P1(f317(f317(f319(f904(x103643,a893)),x103642),f317(f317(f56(x103643),x103646),x103647)))+~P1(f317(f317(f319(f904(x103643,a893)),x103641),f317(f317(f56(x103643),x103646),x103647)))
% 92.29/92.11 [9216]~P8(x92161,x92167,x92164)+~E(x92165,x92166)+~P1(f317(f317(f319(x92161),x92163),x92166))+~P1(f317(f317(f319(x92161),x92162),x92165))+~P1(f317(f317(f319(f904(x92161,a893)),x92166),f317(f317(f56(x92161),x92167),x92164)))+~P1(f317(f317(f319(f904(x92161,a893)),x92165),f317(f317(f56(x92161),x92167),x92164)))+P1(f317(f317(f319(f903(x92161,x92161)),f317(f317(f242(x92161,x92161),x92162),x92163)),x92164))
% 92.29/92.11 [9354]E(x93541,x93542)+~P8(x93543,x93544,x93545)+~P1(f317(f317(f319(x93543),x93546),x93542))+~P1(f317(f317(f319(x93543),x93547),x93541))+~P1(f317(f317(f319(f904(x93543,a893)),x93542),f317(f317(f56(x93543),x93544),x93545)))+~P1(f317(f317(f319(f904(x93543,a893)),x93541),f317(f317(f56(x93543),x93544),x93545)))+~P1(f317(f317(f319(f903(x93543,x93543)),f317(f317(f242(x93543,x93543),x93547),x93546)),x93545))
% 92.29/92.11 [9355]E(x93551,x93552)+~P8(x93553,x93554,x93555)+~P1(f317(f317(f319(x93553),x93556),x93552))+~P1(f317(f317(f319(x93553),x93557),x93551))+~P1(f317(f317(f319(f904(x93553,a893)),x93552),f317(f317(f56(x93553),x93554),x93555)))+~P1(f317(f317(f319(f904(x93553,a893)),x93551),f317(f317(f56(x93553),x93554),x93555)))+~P1(f317(f317(f319(f903(x93553,x93553)),f317(f317(f242(x93553,x93553),x93557),x93556)),x93555))
% 92.29/92.11 [10391]~P8(x103919,x103918,x103917)+~P8(x103911,x1039111,x1039110)+~P12(x103911,x103919,f904(x103916,a893),x1039110,x103917,x103915)+P1(f317(f317(f319(x103911),f429(x103912,x103913,x103914,x103915,x103916,x103917,x103918,x103919,x1039110,x1039111,x103911)),x1039111))+~P1(f317(f317(f319(f904(x103919,a893)),x103913),f317(f317(f56(x103919),x103918),x103917)))+~P1(f317(f317(f319(f904(x103911,a893)),x103914),f317(f317(f56(x103911),x1039111),x1039110)))+P1(f317(f317(f319(f904(x103916,a893)),f317(f317(f35(x103911,f904(x103916,a893)),x103914),f317(f317(f8(f904(x103919,f904(x103916,a893)),f904(x103916,a893),x103911),f317(f35(x103919,f904(x103916,a893)),x103913)),x103915))),x103912))
% 92.29/92.11 [10392]~P8(x1039211,x1039210,x103929)+~P8(x103921,x103928,x103927)+~P12(x1039211,x103921,f904(x103926,a893),x103929,x103927,x103925)+P1(f317(f317(f319(x103921),f430(x103922,x103923,x103924,x103925,x103926,x103927,x103928,x103921,x103929,x1039210,x1039211)),x103928))+~P1(f317(f317(f319(f904(x1039211,a893)),x103924),f317(f317(f56(x1039211),x1039210),x103929)))+~P1(f317(f317(f319(f904(x103921,a893)),x103923),f317(f317(f56(x103921),x103928),x103927)))+P1(f317(f317(f319(f904(x103926,a893)),f317(f317(f35(x1039211,f904(x103926,a893)),x103924),f317(f317(f8(f904(x103921,f904(x103926,a893)),f904(x103926,a893),x1039211),f317(f35(x103921,f904(x103926,a893)),x103923)),x103925))),x103922))
% 92.29/92.11 [10393]~P8(x103932,x103938,x103939)+~P8(x103934,x1039310,x1039311)+~P12(x103932,x103934,f904(x103931,a893),x103939,x1039311,x103936)+~P1(f317(f317(f319(f904(x103932,a893)),x103933),f317(f317(f56(x103932),x103938),x103939)))+~P1(f317(f317(f319(f904(x103934,a893)),x103935),f317(f317(f56(x103934),x1039310),x1039311)))+~P1(f317(f317(f319(f904(x103931,a893)),f317(f317(x103936,f429(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932)),f430(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932))),x103937))+P1(f317(f317(f319(f904(x103931,a893)),f317(f317(f35(x103932,f904(x103931,a893)),x103933),f317(f317(f8(f904(x103934,f904(x103931,a893)),f904(x103931,a893),x103932),f317(f35(x103934,f904(x103931,a893)),x103935)),x103936))),x103937))
% 92.29/92.11 [9252]E(x92521,x92522)+~P107(x92524)+~P24(x92523,x92524,x92525,f317(f317(f91(f904(x92523,a893)),f317(f162(x92523),x92521)),f317(f162(x92523),x92522)))+~E(f317(f162(x92523),x92521),f317(f162(x92523),x92522))+~P13(x92524,f317(f317(f144(x92523,x92524),x92525),x92522))+~P13(x92524,f317(f317(f144(x92523,x92524),x92525),x92521))+~P1(f317(f127(x92524),f317(f317(f144(x92523,x92524),x92525),x92522)))+~P1(f317(f127(x92524),f317(f317(f144(x92523,x92524),x92525),x92521)))
% 92.29/92.11 %EqnAxiom
% 92.29/92.11 [1]E(x11,x11)
% 92.29/92.11 [2]E(x22,x21)+~E(x21,x22)
% 92.29/92.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 92.29/92.11 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 92.29/92.11 [5]~E(x51,x52)+E(f90(x51),f90(x52))
% 92.29/92.11 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 92.29/92.11 [7]~E(x71,x72)+E(f178(x71),f178(x72))
% 92.29/92.11 [8]~E(x81,x82)+E(f317(x81,x83),f317(x82,x83))
% 92.29/92.11 [9]~E(x91,x92)+E(f317(x93,x91),f317(x93,x92))
% 92.29/92.11 [10]~E(x101,x102)+E(f223(x101),f223(x102))
% 92.29/92.11 [11]~E(x111,x112)+E(f91(x111),f91(x112))
% 92.29/92.11 [12]~E(x121,x122)+E(f228(x121),f228(x122))
% 92.29/92.11 [13]~E(x131,x132)+E(f92(x131),f92(x132))
% 92.29/92.11 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 92.29/92.11 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 92.29/92.11 [16]~E(x161,x162)+E(f78(x161),f78(x162))
% 92.29/92.11 [17]~E(x171,x172)+E(f898(x171),f898(x172))
% 92.29/92.11 [18]~E(x181,x182)+E(f11(x181,x183,x184),f11(x182,x183,x184))
% 92.29/92.11 [19]~E(x191,x192)+E(f11(x193,x191,x194),f11(x193,x192,x194))
% 92.29/92.11 [20]~E(x201,x202)+E(f11(x203,x204,x201),f11(x203,x204,x202))
% 92.29/92.11 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 92.29/92.11 [22]~E(x221,x222)+E(f72(x221),f72(x222))
% 92.29/92.11 [23]~E(x231,x232)+E(f430(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f430(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 92.29/92.11 [24]~E(x241,x242)+E(f430(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f430(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 92.29/92.11 [25]~E(x251,x252)+E(f430(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f430(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 92.29/92.11 [26]~E(x261,x262)+E(f430(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f430(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612))
% 92.29/92.11 [27]~E(x271,x272)+E(f430(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f430(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712))
% 92.29/92.11 [28]~E(x281,x282)+E(f430(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f430(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812))
% 92.29/92.11 [29]~E(x291,x292)+E(f430(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f430(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912))
% 92.29/92.11 [30]~E(x301,x302)+E(f430(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f430(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012))
% 92.29/92.11 [31]~E(x311,x312)+E(f430(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f430(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112))
% 92.29/92.11 [32]~E(x321,x322)+E(f430(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f430(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212))
% 92.29/92.11 [33]~E(x331,x332)+E(f430(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f430(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332))
% 92.29/92.11 [34]~E(x341,x342)+E(f179(x341),f179(x342))
% 92.29/92.11 [35]~E(x351,x352)+E(f101(x351),f101(x352))
% 92.29/92.11 [36]~E(x361,x362)+E(f429(x361,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f429(x362,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 92.29/92.11 [37]~E(x371,x372)+E(f429(x373,x371,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f429(x373,x372,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 92.29/92.11 [38]~E(x381,x382)+E(f429(x383,x384,x381,x385,x386,x387,x388,x389,x3810,x3811,x3812),f429(x383,x384,x382,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 92.29/92.11 [39]~E(x391,x392)+E(f429(x393,x394,x395,x391,x396,x397,x398,x399,x3910,x3911,x3912),f429(x393,x394,x395,x392,x396,x397,x398,x399,x3910,x3911,x3912))
% 92.29/92.11 [40]~E(x401,x402)+E(f429(x403,x404,x405,x406,x401,x407,x408,x409,x4010,x4011,x4012),f429(x403,x404,x405,x406,x402,x407,x408,x409,x4010,x4011,x4012))
% 92.29/92.11 [41]~E(x411,x412)+E(f429(x413,x414,x415,x416,x417,x411,x418,x419,x4110,x4111,x4112),f429(x413,x414,x415,x416,x417,x412,x418,x419,x4110,x4111,x4112))
% 92.29/92.11 [42]~E(x421,x422)+E(f429(x423,x424,x425,x426,x427,x428,x421,x429,x4210,x4211,x4212),f429(x423,x424,x425,x426,x427,x428,x422,x429,x4210,x4211,x4212))
% 92.29/92.11 [43]~E(x431,x432)+E(f429(x433,x434,x435,x436,x437,x438,x439,x431,x4310,x4311,x4312),f429(x433,x434,x435,x436,x437,x438,x439,x432,x4310,x4311,x4312))
% 92.29/92.11 [44]~E(x441,x442)+E(f429(x443,x444,x445,x446,x447,x448,x449,x4410,x441,x4411,x4412),f429(x443,x444,x445,x446,x447,x448,x449,x4410,x442,x4411,x4412))
% 92.29/92.11 [45]~E(x451,x452)+E(f429(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x451,x4512),f429(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x452,x4512))
% 92.29/92.11 [46]~E(x461,x462)+E(f429(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x461),f429(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x462))
% 92.29/92.11 [47]~E(x471,x472)+E(f319(x471),f319(x472))
% 92.29/92.11 [48]~E(x481,x482)+E(f4(x481),f4(x482))
% 92.29/92.11 [49]~E(x491,x492)+E(f904(x491,x493),f904(x492,x493))
% 92.29/92.11 [50]~E(x501,x502)+E(f904(x503,x501),f904(x503,x502))
% 92.29/92.11 [51]~E(x511,x512)+E(f900(x511),f900(x512))
% 92.29/92.11 [52]~E(x521,x522)+E(f75(x521),f75(x522))
% 92.29/92.11 [53]~E(x531,x532)+E(f899(x531),f899(x532))
% 92.29/92.11 [54]~E(x541,x542)+E(f73(x541),f73(x542))
% 92.29/92.11 [55]~E(x551,x552)+E(f225(x551),f225(x552))
% 92.29/92.11 [56]~E(x561,x562)+E(f94(x561),f94(x562))
% 92.29/92.11 [57]~E(x571,x572)+E(f8(x571,x573,x574),f8(x572,x573,x574))
% 92.29/92.11 [58]~E(x581,x582)+E(f8(x583,x581,x584),f8(x583,x582,x584))
% 92.29/92.11 [59]~E(x591,x592)+E(f8(x593,x594,x591),f8(x593,x594,x592))
% 92.29/92.11 [60]~E(x601,x602)+E(f162(x601),f162(x602))
% 92.29/92.11 [61]~E(x611,x612)+E(f234(x611),f234(x612))
% 92.29/92.11 [62]~E(x621,x622)+E(f59(x621,x623,x624),f59(x622,x623,x624))
% 92.29/92.11 [63]~E(x631,x632)+E(f59(x633,x631,x634),f59(x633,x632,x634))
% 92.29/92.11 [64]~E(x641,x642)+E(f59(x643,x644,x641),f59(x643,x644,x642))
% 92.29/92.11 [65]~E(x651,x652)+E(f7(x651,x653,x654),f7(x652,x653,x654))
% 92.29/92.11 [66]~E(x661,x662)+E(f7(x663,x661,x664),f7(x663,x662,x664))
% 92.29/92.11 [67]~E(x671,x672)+E(f7(x673,x674,x671),f7(x673,x674,x672))
% 92.29/92.11 [68]~E(x681,x682)+E(f224(x681),f224(x682))
% 92.29/92.11 [69]~E(x691,x692)+E(f74(x691),f74(x692))
% 92.29/92.11 [70]~E(x701,x702)+E(f903(x701,x703),f903(x702,x703))
% 92.29/92.11 [71]~E(x711,x712)+E(f903(x713,x711),f903(x713,x712))
% 92.29/92.11 [72]~E(x721,x722)+E(f30(x721),f30(x722))
% 92.29/92.11 [73]~E(x731,x732)+E(f141(x731),f141(x732))
% 92.29/92.11 [74]~E(x741,x742)+E(f103(x741),f103(x742))
% 92.29/92.11 [75]~E(x751,x752)+E(f76(x751,x753),f76(x752,x753))
% 92.29/92.11 [76]~E(x761,x762)+E(f76(x763,x761),f76(x763,x762))
% 92.29/92.11 [77]~E(x771,x772)+E(f126(x771,x773),f126(x772,x773))
% 92.29/92.11 [78]~E(x781,x782)+E(f126(x783,x781),f126(x783,x782))
% 92.29/92.11 [79]~E(x791,x792)+E(f242(x791,x793),f242(x792,x793))
% 92.29/92.11 [80]~E(x801,x802)+E(f242(x803,x801),f242(x803,x802))
% 92.29/92.11 [81]~E(x811,x812)+E(f167(x811,x813,x814),f167(x812,x813,x814))
% 92.29/92.11 [82]~E(x821,x822)+E(f167(x823,x821,x824),f167(x823,x822,x824))
% 92.29/92.11 [83]~E(x831,x832)+E(f167(x833,x834,x831),f167(x833,x834,x832))
% 92.29/92.11 [84]~E(x841,x842)+E(f56(x841),f56(x842))
% 92.29/92.11 [85]~E(x851,x852)+E(f281(x851),f281(x852))
% 92.29/92.11 [86]~E(x861,x862)+E(f128(x861),f128(x862))
% 92.29/92.11 [87]~E(x871,x872)+E(f144(x871,x873),f144(x872,x873))
% 92.29/92.11 [88]~E(x881,x882)+E(f144(x883,x881),f144(x883,x882))
% 92.29/92.11 [89]~E(x891,x892)+E(f583(x891,x893,x894,x895,x896,x897,x898,x899),f583(x892,x893,x894,x895,x896,x897,x898,x899))
% 92.29/92.11 [90]~E(x901,x902)+E(f583(x903,x901,x904,x905,x906,x907,x908,x909),f583(x903,x902,x904,x905,x906,x907,x908,x909))
% 92.29/92.11 [91]~E(x911,x912)+E(f583(x913,x914,x911,x915,x916,x917,x918,x919),f583(x913,x914,x912,x915,x916,x917,x918,x919))
% 92.29/92.11 [92]~E(x921,x922)+E(f583(x923,x924,x925,x921,x926,x927,x928,x929),f583(x923,x924,x925,x922,x926,x927,x928,x929))
% 92.29/92.11 [93]~E(x931,x932)+E(f583(x933,x934,x935,x936,x931,x937,x938,x939),f583(x933,x934,x935,x936,x932,x937,x938,x939))
% 92.29/92.11 [94]~E(x941,x942)+E(f583(x943,x944,x945,x946,x947,x941,x948,x949),f583(x943,x944,x945,x946,x947,x942,x948,x949))
% 92.29/92.11 [95]~E(x951,x952)+E(f583(x953,x954,x955,x956,x957,x958,x951,x959),f583(x953,x954,x955,x956,x957,x958,x952,x959))
% 92.29/92.11 [96]~E(x961,x962)+E(f583(x963,x964,x965,x966,x967,x968,x969,x961),f583(x963,x964,x965,x966,x967,x968,x969,x962))
% 92.29/92.11 [97]~E(x971,x972)+E(f41(x971,x973,x974),f41(x972,x973,x974))
% 92.29/92.11 [98]~E(x981,x982)+E(f41(x983,x981,x984),f41(x983,x982,x984))
% 92.29/92.11 [99]~E(x991,x992)+E(f41(x993,x994,x991),f41(x993,x994,x992))
% 92.29/92.11 [100]~E(x1001,x1002)+E(f277(x1001),f277(x1002))
% 92.29/92.11 [101]~E(x1011,x1012)+E(f32(x1011,x1013),f32(x1012,x1013))
% 92.29/92.11 [102]~E(x1021,x1022)+E(f32(x1023,x1021),f32(x1023,x1022))
% 92.29/92.11 [103]~E(x1031,x1032)+E(f299(x1031),f299(x1032))
% 92.29/92.11 [104]~E(x1041,x1042)+E(f571(x1041,x1043,x1044,x1045),f571(x1042,x1043,x1044,x1045))
% 92.29/92.11 [105]~E(x1051,x1052)+E(f571(x1053,x1051,x1054,x1055),f571(x1053,x1052,x1054,x1055))
% 92.29/92.11 [106]~E(x1061,x1062)+E(f571(x1063,x1064,x1061,x1065),f571(x1063,x1064,x1062,x1065))
% 92.29/92.11 [107]~E(x1071,x1072)+E(f571(x1073,x1074,x1075,x1071),f571(x1073,x1074,x1075,x1072))
% 92.29/92.11 [108]~E(x1081,x1082)+E(f165(x1081),f165(x1082))
% 92.29/92.11 [109]~E(x1091,x1092)+E(f142(x1091,x1093),f142(x1092,x1093))
% 92.29/92.11 [110]~E(x1101,x1102)+E(f142(x1103,x1101),f142(x1103,x1102))
% 92.29/92.11 [111]~E(x1111,x1112)+E(f252(x1111),f252(x1112))
% 92.29/92.11 [112]~E(x1121,x1122)+E(f45(x1121,x1123),f45(x1122,x1123))
% 92.29/92.11 [113]~E(x1131,x1132)+E(f45(x1133,x1131),f45(x1133,x1132))
% 92.29/92.11 [114]~E(x1141,x1142)+E(f257(x1141),f257(x1142))
% 92.29/92.11 [115]~E(x1151,x1152)+E(f166(x1151,x1153,x1154),f166(x1152,x1153,x1154))
% 92.29/92.11 [116]~E(x1161,x1162)+E(f166(x1163,x1161,x1164),f166(x1163,x1162,x1164))
% 92.29/92.11 [117]~E(x1171,x1172)+E(f166(x1173,x1174,x1171),f166(x1173,x1174,x1172))
% 92.29/92.11 [118]~E(x1181,x1182)+E(f127(x1181),f127(x1182))
% 92.29/92.11 [119]~E(x1191,x1192)+E(f293(x1191,x1193,x1194),f293(x1192,x1193,x1194))
% 92.29/92.11 [120]~E(x1201,x1202)+E(f293(x1203,x1201,x1204),f293(x1203,x1202,x1204))
% 92.29/92.11 [121]~E(x1211,x1212)+E(f293(x1213,x1214,x1211),f293(x1213,x1214,x1212))
% 92.29/92.11 [122]~E(x1221,x1222)+E(f210(x1221,x1223,x1224,x1225),f210(x1222,x1223,x1224,x1225))
% 92.29/92.11 [123]~E(x1231,x1232)+E(f210(x1233,x1231,x1234,x1235),f210(x1233,x1232,x1234,x1235))
% 92.29/92.11 [124]~E(x1241,x1242)+E(f210(x1243,x1244,x1241,x1245),f210(x1243,x1244,x1242,x1245))
% 92.29/92.11 [125]~E(x1251,x1252)+E(f210(x1253,x1254,x1255,x1251),f210(x1253,x1254,x1255,x1252))
% 92.29/92.11 [126]~E(x1261,x1262)+E(f18(x1261,x1263,x1264),f18(x1262,x1263,x1264))
% 92.29/92.11 [127]~E(x1271,x1272)+E(f18(x1273,x1271,x1274),f18(x1273,x1272,x1274))
% 92.29/92.11 [128]~E(x1281,x1282)+E(f18(x1283,x1284,x1281),f18(x1283,x1284,x1282))
% 92.29/92.11 [129]~E(x1291,x1292)+E(f276(x1291,x1293),f276(x1292,x1293))
% 92.29/92.11 [130]~E(x1301,x1302)+E(f276(x1303,x1301),f276(x1303,x1302))
% 92.29/92.11 [131]~E(x1311,x1312)+E(f159(x1311,x1313,x1314),f159(x1312,x1313,x1314))
% 92.29/92.11 [132]~E(x1321,x1322)+E(f159(x1323,x1321,x1324),f159(x1323,x1322,x1324))
% 92.29/92.11 [133]~E(x1331,x1332)+E(f159(x1333,x1334,x1331),f159(x1333,x1334,x1332))
% 92.29/92.11 [134]~E(x1341,x1342)+E(f151(x1341,x1343),f151(x1342,x1343))
% 92.29/92.11 [135]~E(x1351,x1352)+E(f151(x1353,x1351),f151(x1353,x1352))
% 92.29/92.11 [136]~E(x1361,x1362)+E(f35(x1361,x1363),f35(x1362,x1363))
% 92.29/92.11 [137]~E(x1371,x1372)+E(f35(x1373,x1371),f35(x1373,x1372))
% 92.29/92.11 [138]~E(x1381,x1382)+E(f96(x1381),f96(x1382))
% 92.29/92.11 [139]~E(x1391,x1392)+E(f98(x1391),f98(x1392))
% 92.29/92.11 [140]~E(x1401,x1402)+E(f318(x1401),f318(x1402))
% 92.29/92.11 [141]~E(x1411,x1412)+E(f100(x1411),f100(x1412))
% 92.29/92.11 [142]~E(x1421,x1422)+E(f547(x1421),f547(x1422))
% 92.29/92.11 [143]~E(x1431,x1432)+E(f280(x1431,x1433,x1434,x1435),f280(x1432,x1433,x1434,x1435))
% 92.29/92.11 [144]~E(x1441,x1442)+E(f280(x1443,x1441,x1444,x1445),f280(x1443,x1442,x1444,x1445))
% 92.29/92.11 [145]~E(x1451,x1452)+E(f280(x1453,x1454,x1451,x1455),f280(x1453,x1454,x1452,x1455))
% 92.29/92.11 [146]~E(x1461,x1462)+E(f280(x1463,x1464,x1465,x1461),f280(x1463,x1464,x1465,x1462))
% 92.29/92.11 [147]~E(x1471,x1472)+E(f247(x1471,x1473,x1474),f247(x1472,x1473,x1474))
% 92.29/92.11 [148]~E(x1481,x1482)+E(f247(x1483,x1481,x1484),f247(x1483,x1482,x1484))
% 92.29/92.11 [149]~E(x1491,x1492)+E(f247(x1493,x1494,x1491),f247(x1493,x1494,x1492))
% 92.29/92.11 [150]~E(x1501,x1502)+E(f231(x1501,x1503),f231(x1502,x1503))
% 92.29/92.11 [151]~E(x1511,x1512)+E(f231(x1513,x1511),f231(x1513,x1512))
% 92.29/92.11 [152]~E(x1521,x1522)+E(f132(x1521,x1523,x1524,x1525),f132(x1522,x1523,x1524,x1525))
% 92.29/92.11 [153]~E(x1531,x1532)+E(f132(x1533,x1531,x1534,x1535),f132(x1533,x1532,x1534,x1535))
% 92.29/92.11 [154]~E(x1541,x1542)+E(f132(x1543,x1544,x1541,x1545),f132(x1543,x1544,x1542,x1545))
% 92.29/92.11 [155]~E(x1551,x1552)+E(f132(x1553,x1554,x1555,x1551),f132(x1553,x1554,x1555,x1552))
% 92.29/92.11 [156]~E(x1561,x1562)+E(f249(x1561,x1563,x1564,x1565),f249(x1562,x1563,x1564,x1565))
% 92.29/92.11 [157]~E(x1571,x1572)+E(f249(x1573,x1571,x1574,x1575),f249(x1573,x1572,x1574,x1575))
% 92.29/92.11 [158]~E(x1581,x1582)+E(f249(x1583,x1584,x1581,x1585),f249(x1583,x1584,x1582,x1585))
% 92.29/92.11 [159]~E(x1591,x1592)+E(f249(x1593,x1594,x1595,x1591),f249(x1593,x1594,x1595,x1592))
% 92.29/92.11 [160]~E(x1601,x1602)+E(f147(x1601,x1603),f147(x1602,x1603))
% 92.29/92.11 [161]~E(x1611,x1612)+E(f147(x1613,x1611),f147(x1613,x1612))
% 92.29/92.11 [162]~E(x1621,x1622)+E(f70(x1621),f70(x1622))
% 92.29/92.11 [163]~E(x1631,x1632)+E(f5(x1631),f5(x1632))
% 92.29/92.11 [164]~E(x1641,x1642)+E(f6(x1641,x1643),f6(x1642,x1643))
% 92.29/92.11 [165]~E(x1651,x1652)+E(f6(x1653,x1651),f6(x1653,x1652))
% 92.29/92.11 [166]~E(x1661,x1662)+E(f67(x1661,x1663,x1664,x1665),f67(x1662,x1663,x1664,x1665))
% 92.29/92.11 [167]~E(x1671,x1672)+E(f67(x1673,x1671,x1674,x1675),f67(x1673,x1672,x1674,x1675))
% 92.29/92.11 [168]~E(x1681,x1682)+E(f67(x1683,x1684,x1681,x1685),f67(x1683,x1684,x1682,x1685))
% 92.29/92.11 [169]~E(x1691,x1692)+E(f67(x1693,x1694,x1695,x1691),f67(x1693,x1694,x1695,x1692))
% 92.29/92.11 [170]~E(x1701,x1702)+E(f232(x1701),f232(x1702))
% 92.29/92.11 [171]~E(x1711,x1712)+E(f820(x1711,x1713,x1714,x1715,x1716,x1717,x1718,x1719),f820(x1712,x1713,x1714,x1715,x1716,x1717,x1718,x1719))
% 92.29/92.11 [172]~E(x1721,x1722)+E(f820(x1723,x1721,x1724,x1725,x1726,x1727,x1728,x1729),f820(x1723,x1722,x1724,x1725,x1726,x1727,x1728,x1729))
% 92.29/92.11 [173]~E(x1731,x1732)+E(f820(x1733,x1734,x1731,x1735,x1736,x1737,x1738,x1739),f820(x1733,x1734,x1732,x1735,x1736,x1737,x1738,x1739))
% 92.29/92.11 [174]~E(x1741,x1742)+E(f820(x1743,x1744,x1745,x1741,x1746,x1747,x1748,x1749),f820(x1743,x1744,x1745,x1742,x1746,x1747,x1748,x1749))
% 92.29/92.11 [175]~E(x1751,x1752)+E(f820(x1753,x1754,x1755,x1756,x1751,x1757,x1758,x1759),f820(x1753,x1754,x1755,x1756,x1752,x1757,x1758,x1759))
% 92.29/92.11 [176]~E(x1761,x1762)+E(f820(x1763,x1764,x1765,x1766,x1767,x1761,x1768,x1769),f820(x1763,x1764,x1765,x1766,x1767,x1762,x1768,x1769))
% 92.29/92.11 [177]~E(x1771,x1772)+E(f820(x1773,x1774,x1775,x1776,x1777,x1778,x1771,x1779),f820(x1773,x1774,x1775,x1776,x1777,x1778,x1772,x1779))
% 92.29/92.11 [178]~E(x1781,x1782)+E(f820(x1783,x1784,x1785,x1786,x1787,x1788,x1789,x1781),f820(x1783,x1784,x1785,x1786,x1787,x1788,x1789,x1782))
% 92.29/92.11 [179]~E(x1791,x1792)+E(f746(x1791,x1793,x1794,x1795),f746(x1792,x1793,x1794,x1795))
% 92.29/92.11 [180]~E(x1801,x1802)+E(f746(x1803,x1801,x1804,x1805),f746(x1803,x1802,x1804,x1805))
% 92.29/92.11 [181]~E(x1811,x1812)+E(f746(x1813,x1814,x1811,x1815),f746(x1813,x1814,x1812,x1815))
% 92.29/92.11 [182]~E(x1821,x1822)+E(f746(x1823,x1824,x1825,x1821),f746(x1823,x1824,x1825,x1822))
% 92.29/92.11 [183]~E(x1831,x1832)+E(f244(x1831,x1833),f244(x1832,x1833))
% 92.29/92.11 [184]~E(x1841,x1842)+E(f244(x1843,x1841),f244(x1843,x1842))
% 92.29/92.11 [185]~E(x1851,x1852)+E(f12(x1851,x1853,x1854),f12(x1852,x1853,x1854))
% 92.29/92.11 [186]~E(x1861,x1862)+E(f12(x1863,x1861,x1864),f12(x1863,x1862,x1864))
% 92.29/92.11 [187]~E(x1871,x1872)+E(f12(x1873,x1874,x1871),f12(x1873,x1874,x1872))
% 92.29/92.11 [188]~E(x1881,x1882)+E(f298(x1881),f298(x1882))
% 92.29/92.11 [189]~E(x1891,x1892)+E(f9(x1891,x1893),f9(x1892,x1893))
% 92.29/92.11 [190]~E(x1901,x1902)+E(f9(x1903,x1901),f9(x1903,x1902))
% 92.29/92.11 [191]~E(x1911,x1912)+E(f291(x1911),f291(x1912))
% 92.29/92.11 [192]~E(x1921,x1922)+E(f124(x1921),f124(x1922))
% 92.29/92.11 [193]~E(x1931,x1932)+E(f292(x1931,x1933),f292(x1932,x1933))
% 92.29/92.11 [194]~E(x1941,x1942)+E(f292(x1943,x1941),f292(x1943,x1942))
% 92.29/92.11 [195]~E(x1951,x1952)+E(f135(x1951,x1953),f135(x1952,x1953))
% 92.29/92.11 [196]~E(x1961,x1962)+E(f135(x1963,x1961),f135(x1963,x1962))
% 92.29/92.11 [197]~E(x1971,x1972)+E(f168(x1971,x1973),f168(x1972,x1973))
% 92.29/92.11 [198]~E(x1981,x1982)+E(f168(x1983,x1981),f168(x1983,x1982))
% 92.29/92.11 [199]~E(x1991,x1992)+E(f158(x1991),f158(x1992))
% 92.29/92.11 [200]~E(x2001,x2002)+E(f138(x2001,x2003,x2004),f138(x2002,x2003,x2004))
% 92.29/92.11 [201]~E(x2011,x2012)+E(f138(x2013,x2011,x2014),f138(x2013,x2012,x2014))
% 92.29/92.11 [202]~E(x2021,x2022)+E(f138(x2023,x2024,x2021),f138(x2023,x2024,x2022))
% 92.29/92.11 [203]~E(x2031,x2032)+E(f855(x2031,x2033,x2034),f855(x2032,x2033,x2034))
% 92.29/92.11 [204]~E(x2041,x2042)+E(f855(x2043,x2041,x2044),f855(x2043,x2042,x2044))
% 92.29/92.11 [205]~E(x2051,x2052)+E(f855(x2053,x2054,x2051),f855(x2053,x2054,x2052))
% 92.29/92.11 [206]~E(x2061,x2062)+E(f310(x2061,x2063,x2064,x2065),f310(x2062,x2063,x2064,x2065))
% 92.29/92.11 [207]~E(x2071,x2072)+E(f310(x2073,x2071,x2074,x2075),f310(x2073,x2072,x2074,x2075))
% 92.29/92.11 [208]~E(x2081,x2082)+E(f310(x2083,x2084,x2081,x2085),f310(x2083,x2084,x2082,x2085))
% 92.29/92.11 [209]~E(x2091,x2092)+E(f310(x2093,x2094,x2095,x2091),f310(x2093,x2094,x2095,x2092))
% 92.29/92.11 [210]~E(x2101,x2102)+E(f297(x2101,x2103),f297(x2102,x2103))
% 92.29/92.11 [211]~E(x2111,x2112)+E(f297(x2113,x2111),f297(x2113,x2112))
% 92.29/92.11 [212]~E(x2121,x2122)+E(f309(x2121,x2123),f309(x2122,x2123))
% 92.29/92.11 [213]~E(x2131,x2132)+E(f309(x2133,x2131),f309(x2133,x2132))
% 92.29/92.11 [214]~E(x2141,x2142)+E(f754(x2141,x2143,x2144,x2145),f754(x2142,x2143,x2144,x2145))
% 92.29/92.11 [215]~E(x2151,x2152)+E(f754(x2153,x2151,x2154,x2155),f754(x2153,x2152,x2154,x2155))
% 92.29/92.11 [216]~E(x2161,x2162)+E(f754(x2163,x2164,x2161,x2165),f754(x2163,x2164,x2162,x2165))
% 92.29/92.11 [217]~E(x2171,x2172)+E(f754(x2173,x2174,x2175,x2171),f754(x2173,x2174,x2175,x2172))
% 92.29/92.11 [218]~E(x2181,x2182)+E(f300(x2181,x2183,x2184),f300(x2182,x2183,x2184))
% 92.29/92.11 [219]~E(x2191,x2192)+E(f300(x2193,x2191,x2194),f300(x2193,x2192,x2194))
% 92.29/92.11 [220]~E(x2201,x2202)+E(f300(x2203,x2204,x2201),f300(x2203,x2204,x2202))
% 92.29/92.11 [221]~E(x2211,x2212)+E(f248(x2211,x2213,x2214,x2215,x2216,x2217),f248(x2212,x2213,x2214,x2215,x2216,x2217))
% 92.29/92.11 [222]~E(x2221,x2222)+E(f248(x2223,x2221,x2224,x2225,x2226,x2227),f248(x2223,x2222,x2224,x2225,x2226,x2227))
% 92.29/92.11 [223]~E(x2231,x2232)+E(f248(x2233,x2234,x2231,x2235,x2236,x2237),f248(x2233,x2234,x2232,x2235,x2236,x2237))
% 92.29/92.11 [224]~E(x2241,x2242)+E(f248(x2243,x2244,x2245,x2241,x2246,x2247),f248(x2243,x2244,x2245,x2242,x2246,x2247))
% 92.29/92.11 [225]~E(x2251,x2252)+E(f248(x2253,x2254,x2255,x2256,x2251,x2257),f248(x2253,x2254,x2255,x2256,x2252,x2257))
% 92.29/92.11 [226]~E(x2261,x2262)+E(f248(x2263,x2264,x2265,x2266,x2267,x2261),f248(x2263,x2264,x2265,x2266,x2267,x2262))
% 92.29/92.11 [227]~E(x2271,x2272)+E(f240(x2271,x2273,x2274),f240(x2272,x2273,x2274))
% 92.29/92.11 [228]~E(x2281,x2282)+E(f240(x2283,x2281,x2284),f240(x2283,x2282,x2284))
% 92.29/92.11 [229]~E(x2291,x2292)+E(f240(x2293,x2294,x2291),f240(x2293,x2294,x2292))
% 92.29/92.11 [230]~E(x2301,x2302)+E(f490(x2301,x2303,x2304),f490(x2302,x2303,x2304))
% 92.29/92.11 [231]~E(x2311,x2312)+E(f490(x2313,x2311,x2314),f490(x2313,x2312,x2314))
% 92.29/92.11 [232]~E(x2321,x2322)+E(f490(x2323,x2324,x2321),f490(x2323,x2324,x2322))
% 92.29/92.11 [233]~E(x2331,x2332)+E(f202(x2331),f202(x2332))
% 92.29/92.11 [234]~E(x2341,x2342)+E(f857(x2341,x2343,x2344),f857(x2342,x2343,x2344))
% 92.29/92.11 [235]~E(x2351,x2352)+E(f857(x2353,x2351,x2354),f857(x2353,x2352,x2354))
% 92.29/92.11 [236]~E(x2361,x2362)+E(f857(x2363,x2364,x2361),f857(x2363,x2364,x2362))
% 92.29/92.11 [237]~E(x2371,x2372)+E(f844(x2371,x2373,x2374),f844(x2372,x2373,x2374))
% 92.29/92.11 [238]~E(x2381,x2382)+E(f844(x2383,x2381,x2384),f844(x2383,x2382,x2384))
% 92.29/92.11 [239]~E(x2391,x2392)+E(f844(x2393,x2394,x2391),f844(x2393,x2394,x2392))
% 92.29/92.11 [240]~E(x2401,x2402)+E(f557(x2401,x2403,x2404,x2405,x2406,x2407),f557(x2402,x2403,x2404,x2405,x2406,x2407))
% 92.29/92.11 [241]~E(x2411,x2412)+E(f557(x2413,x2411,x2414,x2415,x2416,x2417),f557(x2413,x2412,x2414,x2415,x2416,x2417))
% 92.29/92.11 [242]~E(x2421,x2422)+E(f557(x2423,x2424,x2421,x2425,x2426,x2427),f557(x2423,x2424,x2422,x2425,x2426,x2427))
% 92.29/92.11 [243]~E(x2431,x2432)+E(f557(x2433,x2434,x2435,x2431,x2436,x2437),f557(x2433,x2434,x2435,x2432,x2436,x2437))
% 92.29/92.11 [244]~E(x2441,x2442)+E(f557(x2443,x2444,x2445,x2446,x2441,x2447),f557(x2443,x2444,x2445,x2446,x2442,x2447))
% 92.29/92.11 [245]~E(x2451,x2452)+E(f557(x2453,x2454,x2455,x2456,x2457,x2451),f557(x2453,x2454,x2455,x2456,x2457,x2452))
% 92.29/92.11 [246]~E(x2461,x2462)+E(f279(x2461,x2463,x2464),f279(x2462,x2463,x2464))
% 92.29/92.11 [247]~E(x2471,x2472)+E(f279(x2473,x2471,x2474),f279(x2473,x2472,x2474))
% 92.29/92.11 [248]~E(x2481,x2482)+E(f279(x2483,x2484,x2481),f279(x2483,x2484,x2482))
% 92.29/92.11 [249]~E(x2491,x2492)+E(f273(x2491),f273(x2492))
% 92.29/92.11 [250]~E(x2501,x2502)+E(f53(x2501),f53(x2502))
% 92.29/92.11 [251]~E(x2511,x2512)+E(f459(x2511,x2513,x2514,x2515,x2516),f459(x2512,x2513,x2514,x2515,x2516))
% 92.29/92.11 [252]~E(x2521,x2522)+E(f459(x2523,x2521,x2524,x2525,x2526),f459(x2523,x2522,x2524,x2525,x2526))
% 92.29/92.11 [253]~E(x2531,x2532)+E(f459(x2533,x2534,x2531,x2535,x2536),f459(x2533,x2534,x2532,x2535,x2536))
% 92.29/92.11 [254]~E(x2541,x2542)+E(f459(x2543,x2544,x2545,x2541,x2546),f459(x2543,x2544,x2545,x2542,x2546))
% 92.29/92.11 [255]~E(x2551,x2552)+E(f459(x2553,x2554,x2555,x2556,x2551),f459(x2553,x2554,x2555,x2556,x2552))
% 92.29/92.11 [256]~E(x2561,x2562)+E(f275(x2561,x2563,x2564),f275(x2562,x2563,x2564))
% 92.29/92.11 [257]~E(x2571,x2572)+E(f275(x2573,x2571,x2574),f275(x2573,x2572,x2574))
% 92.29/92.11 [258]~E(x2581,x2582)+E(f275(x2583,x2584,x2581),f275(x2583,x2584,x2582))
% 92.29/92.11 [259]~E(x2591,x2592)+E(f130(x2591,x2593,x2594),f130(x2592,x2593,x2594))
% 92.29/92.11 [260]~E(x2601,x2602)+E(f130(x2603,x2601,x2604),f130(x2603,x2602,x2604))
% 92.29/92.11 [261]~E(x2611,x2612)+E(f130(x2613,x2614,x2611),f130(x2613,x2614,x2612))
% 92.29/92.11 [262]~E(x2621,x2622)+E(f169(x2621,x2623),f169(x2622,x2623))
% 92.29/92.11 [263]~E(x2631,x2632)+E(f169(x2633,x2631),f169(x2633,x2632))
% 92.29/92.11 [264]~E(x2641,x2642)+E(f104(x2641,x2643),f104(x2642,x2643))
% 92.29/92.11 [265]~E(x2651,x2652)+E(f104(x2653,x2651),f104(x2653,x2652))
% 92.29/92.11 [266]~E(x2661,x2662)+E(f154(x2661),f154(x2662))
% 92.29/92.11 [267]~E(x2671,x2672)+E(f560(x2671,x2673,x2674,x2675,x2676,x2677),f560(x2672,x2673,x2674,x2675,x2676,x2677))
% 92.29/92.11 [268]~E(x2681,x2682)+E(f560(x2683,x2681,x2684,x2685,x2686,x2687),f560(x2683,x2682,x2684,x2685,x2686,x2687))
% 92.29/92.11 [269]~E(x2691,x2692)+E(f560(x2693,x2694,x2691,x2695,x2696,x2697),f560(x2693,x2694,x2692,x2695,x2696,x2697))
% 92.29/92.11 [270]~E(x2701,x2702)+E(f560(x2703,x2704,x2705,x2701,x2706,x2707),f560(x2703,x2704,x2705,x2702,x2706,x2707))
% 92.29/92.11 [271]~E(x2711,x2712)+E(f560(x2713,x2714,x2715,x2716,x2711,x2717),f560(x2713,x2714,x2715,x2716,x2712,x2717))
% 92.29/92.11 [272]~E(x2721,x2722)+E(f560(x2723,x2724,x2725,x2726,x2727,x2721),f560(x2723,x2724,x2725,x2726,x2727,x2722))
% 92.29/92.11 [273]~E(x2731,x2732)+E(f714(x2731,x2733,x2734,x2735,x2736),f714(x2732,x2733,x2734,x2735,x2736))
% 92.29/92.11 [274]~E(x2741,x2742)+E(f714(x2743,x2741,x2744,x2745,x2746),f714(x2743,x2742,x2744,x2745,x2746))
% 92.29/92.11 [275]~E(x2751,x2752)+E(f714(x2753,x2754,x2751,x2755,x2756),f714(x2753,x2754,x2752,x2755,x2756))
% 92.29/92.11 [276]~E(x2761,x2762)+E(f714(x2763,x2764,x2765,x2761,x2766),f714(x2763,x2764,x2765,x2762,x2766))
% 92.29/92.11 [277]~E(x2771,x2772)+E(f714(x2773,x2774,x2775,x2776,x2771),f714(x2773,x2774,x2775,x2776,x2772))
% 92.29/92.11 [278]~E(x2781,x2782)+E(f146(x2781,x2783,x2784,x2785),f146(x2782,x2783,x2784,x2785))
% 92.29/92.11 [279]~E(x2791,x2792)+E(f146(x2793,x2791,x2794,x2795),f146(x2793,x2792,x2794,x2795))
% 92.29/92.11 [280]~E(x2801,x2802)+E(f146(x2803,x2804,x2801,x2805),f146(x2803,x2804,x2802,x2805))
% 92.29/92.11 [281]~E(x2811,x2812)+E(f146(x2813,x2814,x2815,x2811),f146(x2813,x2814,x2815,x2812))
% 92.29/92.11 [282]~E(x2821,x2822)+E(f181(x2821),f181(x2822))
% 92.29/92.11 [283]~E(x2831,x2832)+E(f845(x2831,x2833,x2834),f845(x2832,x2833,x2834))
% 92.29/92.11 [284]~E(x2841,x2842)+E(f845(x2843,x2841,x2844),f845(x2843,x2842,x2844))
% 92.29/92.11 [285]~E(x2851,x2852)+E(f845(x2853,x2854,x2851),f845(x2853,x2854,x2852))
% 92.29/92.11 [286]~E(x2861,x2862)+E(f105(x2861),f105(x2862))
% 92.29/92.11 [287]~E(x2871,x2872)+E(f902(x2871,x2873),f902(x2872,x2873))
% 92.29/92.11 [288]~E(x2881,x2882)+E(f902(x2883,x2881),f902(x2883,x2882))
% 92.29/92.11 [289]~E(x2891,x2892)+E(f901(x2891,x2893),f901(x2892,x2893))
% 92.29/92.11 [290]~E(x2901,x2902)+E(f901(x2903,x2901),f901(x2903,x2902))
% 92.29/92.11 [291]~E(x2911,x2912)+E(f33(x2911,x2913),f33(x2912,x2913))
% 92.29/92.11 [292]~E(x2921,x2922)+E(f33(x2923,x2921),f33(x2923,x2922))
% 92.29/92.11 [293]~E(x2931,x2932)+E(f157(x2931),f157(x2932))
% 92.29/92.11 [294]~E(x2941,x2942)+E(f406(x2941,x2943),f406(x2942,x2943))
% 92.29/92.11 [295]~E(x2951,x2952)+E(f406(x2953,x2951),f406(x2953,x2952))
% 92.29/92.11 [296]~E(x2961,x2962)+E(f205(x2961,x2963),f205(x2962,x2963))
% 92.29/92.11 [297]~E(x2971,x2972)+E(f205(x2973,x2971),f205(x2973,x2972))
% 92.29/92.11 [298]~E(x2981,x2982)+E(f58(x2981,x2983),f58(x2982,x2983))
% 92.29/92.11 [299]~E(x2991,x2992)+E(f58(x2993,x2991),f58(x2993,x2992))
% 92.29/92.11 [300]~E(x3001,x3002)+E(f161(x3001),f161(x3002))
% 92.29/92.11 [301]~E(x3011,x3012)+E(f807(x3011,x3013,x3014,x3015,x3016,x3017),f807(x3012,x3013,x3014,x3015,x3016,x3017))
% 92.29/92.11 [302]~E(x3021,x3022)+E(f807(x3023,x3021,x3024,x3025,x3026,x3027),f807(x3023,x3022,x3024,x3025,x3026,x3027))
% 92.29/92.11 [303]~E(x3031,x3032)+E(f807(x3033,x3034,x3031,x3035,x3036,x3037),f807(x3033,x3034,x3032,x3035,x3036,x3037))
% 92.29/92.11 [304]~E(x3041,x3042)+E(f807(x3043,x3044,x3045,x3041,x3046,x3047),f807(x3043,x3044,x3045,x3042,x3046,x3047))
% 92.29/92.11 [305]~E(x3051,x3052)+E(f807(x3053,x3054,x3055,x3056,x3051,x3057),f807(x3053,x3054,x3055,x3056,x3052,x3057))
% 92.29/92.11 [306]~E(x3061,x3062)+E(f807(x3063,x3064,x3065,x3066,x3067,x3061),f807(x3063,x3064,x3065,x3066,x3067,x3062))
% 92.29/92.11 [307]~E(x3071,x3072)+E(f448(x3071,x3073,x3074,x3075,x3076,x3077,x3078),f448(x3072,x3073,x3074,x3075,x3076,x3077,x3078))
% 92.29/92.11 [308]~E(x3081,x3082)+E(f448(x3083,x3081,x3084,x3085,x3086,x3087,x3088),f448(x3083,x3082,x3084,x3085,x3086,x3087,x3088))
% 92.29/92.11 [309]~E(x3091,x3092)+E(f448(x3093,x3094,x3091,x3095,x3096,x3097,x3098),f448(x3093,x3094,x3092,x3095,x3096,x3097,x3098))
% 92.29/92.11 [310]~E(x3101,x3102)+E(f448(x3103,x3104,x3105,x3101,x3106,x3107,x3108),f448(x3103,x3104,x3105,x3102,x3106,x3107,x3108))
% 92.29/92.11 [311]~E(x3111,x3112)+E(f448(x3113,x3114,x3115,x3116,x3111,x3117,x3118),f448(x3113,x3114,x3115,x3116,x3112,x3117,x3118))
% 92.29/92.11 [312]~E(x3121,x3122)+E(f448(x3123,x3124,x3125,x3126,x3127,x3121,x3128),f448(x3123,x3124,x3125,x3126,x3127,x3122,x3128))
% 92.29/92.11 [313]~E(x3131,x3132)+E(f448(x3133,x3134,x3135,x3136,x3137,x3138,x3131),f448(x3133,x3134,x3135,x3136,x3137,x3138,x3132))
% 92.29/92.11 [314]~E(x3141,x3142)+E(f301(x3141,x3143,x3144),f301(x3142,x3143,x3144))
% 92.29/92.11 [315]~E(x3151,x3152)+E(f301(x3153,x3151,x3154),f301(x3153,x3152,x3154))
% 92.29/92.11 [316]~E(x3161,x3162)+E(f301(x3163,x3164,x3161),f301(x3163,x3164,x3162))
% 92.29/92.11 [317]~E(x3171,x3172)+E(f355(x3171,x3173,x3174,x3175,x3176,x3177,x3178,x3179),f355(x3172,x3173,x3174,x3175,x3176,x3177,x3178,x3179))
% 92.29/92.11 [318]~E(x3181,x3182)+E(f355(x3183,x3181,x3184,x3185,x3186,x3187,x3188,x3189),f355(x3183,x3182,x3184,x3185,x3186,x3187,x3188,x3189))
% 92.29/92.11 [319]~E(x3191,x3192)+E(f355(x3193,x3194,x3191,x3195,x3196,x3197,x3198,x3199),f355(x3193,x3194,x3192,x3195,x3196,x3197,x3198,x3199))
% 92.29/92.11 [320]~E(x3201,x3202)+E(f355(x3203,x3204,x3205,x3201,x3206,x3207,x3208,x3209),f355(x3203,x3204,x3205,x3202,x3206,x3207,x3208,x3209))
% 92.29/92.11 [321]~E(x3211,x3212)+E(f355(x3213,x3214,x3215,x3216,x3211,x3217,x3218,x3219),f355(x3213,x3214,x3215,x3216,x3212,x3217,x3218,x3219))
% 92.29/92.11 [322]~E(x3221,x3222)+E(f355(x3223,x3224,x3225,x3226,x3227,x3221,x3228,x3229),f355(x3223,x3224,x3225,x3226,x3227,x3222,x3228,x3229))
% 92.29/92.11 [323]~E(x3231,x3232)+E(f355(x3233,x3234,x3235,x3236,x3237,x3238,x3231,x3239),f355(x3233,x3234,x3235,x3236,x3237,x3238,x3232,x3239))
% 92.29/92.11 [324]~E(x3241,x3242)+E(f355(x3243,x3244,x3245,x3246,x3247,x3248,x3249,x3241),f355(x3243,x3244,x3245,x3246,x3247,x3248,x3249,x3242))
% 92.29/92.11 [325]~E(x3251,x3252)+E(f125(x3251),f125(x3252))
% 92.29/92.11 [326]~E(x3261,x3262)+E(f84(x3261,x3263),f84(x3262,x3263))
% 92.29/92.11 [327]~E(x3271,x3272)+E(f84(x3273,x3271),f84(x3273,x3272))
% 92.29/92.11 [328]~E(x3281,x3282)+E(f742(x3281,x3283,x3284),f742(x3282,x3283,x3284))
% 92.29/92.11 [329]~E(x3291,x3292)+E(f742(x3293,x3291,x3294),f742(x3293,x3292,x3294))
% 92.29/92.11 [330]~E(x3301,x3302)+E(f742(x3303,x3304,x3301),f742(x3303,x3304,x3302))
% 92.29/92.11 [331]~E(x3311,x3312)+E(f491(x3311,x3313,x3314),f491(x3312,x3313,x3314))
% 92.29/92.11 [332]~E(x3321,x3322)+E(f491(x3323,x3321,x3324),f491(x3323,x3322,x3324))
% 92.29/92.11 [333]~E(x3331,x3332)+E(f491(x3333,x3334,x3331),f491(x3333,x3334,x3332))
% 92.29/92.11 [334]~E(x3341,x3342)+E(f517(x3341,x3343,x3344,x3345,x3346,x3347,x3348),f517(x3342,x3343,x3344,x3345,x3346,x3347,x3348))
% 92.29/92.11 [335]~E(x3351,x3352)+E(f517(x3353,x3351,x3354,x3355,x3356,x3357,x3358),f517(x3353,x3352,x3354,x3355,x3356,x3357,x3358))
% 92.29/92.11 [336]~E(x3361,x3362)+E(f517(x3363,x3364,x3361,x3365,x3366,x3367,x3368),f517(x3363,x3364,x3362,x3365,x3366,x3367,x3368))
% 92.29/92.11 [337]~E(x3371,x3372)+E(f517(x3373,x3374,x3375,x3371,x3376,x3377,x3378),f517(x3373,x3374,x3375,x3372,x3376,x3377,x3378))
% 92.29/92.11 [338]~E(x3381,x3382)+E(f517(x3383,x3384,x3385,x3386,x3381,x3387,x3388),f517(x3383,x3384,x3385,x3386,x3382,x3387,x3388))
% 92.29/92.11 [339]~E(x3391,x3392)+E(f517(x3393,x3394,x3395,x3396,x3397,x3391,x3398),f517(x3393,x3394,x3395,x3396,x3397,x3392,x3398))
% 92.29/92.11 [340]~E(x3401,x3402)+E(f517(x3403,x3404,x3405,x3406,x3407,x3408,x3401),f517(x3403,x3404,x3405,x3406,x3407,x3408,x3402))
% 92.29/92.11 [341]~E(x3411,x3412)+E(f463(x3411,x3413,x3414,x3415,x3416),f463(x3412,x3413,x3414,x3415,x3416))
% 92.29/92.11 [342]~E(x3421,x3422)+E(f463(x3423,x3421,x3424,x3425,x3426),f463(x3423,x3422,x3424,x3425,x3426))
% 92.29/92.11 [343]~E(x3431,x3432)+E(f463(x3433,x3434,x3431,x3435,x3436),f463(x3433,x3434,x3432,x3435,x3436))
% 92.29/92.11 [344]~E(x3441,x3442)+E(f463(x3443,x3444,x3445,x3441,x3446),f463(x3443,x3444,x3445,x3442,x3446))
% 92.29/92.11 [345]~E(x3451,x3452)+E(f463(x3453,x3454,x3455,x3456,x3451),f463(x3453,x3454,x3455,x3456,x3452))
% 92.29/92.11 [346]~E(x3461,x3462)+E(f587(x3461,x3463,x3464),f587(x3462,x3463,x3464))
% 92.29/92.11 [347]~E(x3471,x3472)+E(f587(x3473,x3471,x3474),f587(x3473,x3472,x3474))
% 92.29/92.11 [348]~E(x3481,x3482)+E(f587(x3483,x3484,x3481),f587(x3483,x3484,x3482))
% 92.29/92.11 [349]~E(x3491,x3492)+E(f80(x3491,x3493),f80(x3492,x3493))
% 92.29/92.11 [350]~E(x3501,x3502)+E(f80(x3503,x3501),f80(x3503,x3502))
% 92.29/92.11 [351]~E(x3511,x3512)+E(f308(x3511,x3513),f308(x3512,x3513))
% 92.29/92.11 [352]~E(x3521,x3522)+E(f308(x3523,x3521),f308(x3523,x3522))
% 92.29/92.11 [353]~E(x3531,x3532)+E(f556(x3531,x3533,x3534),f556(x3532,x3533,x3534))
% 92.29/92.11 [354]~E(x3541,x3542)+E(f556(x3543,x3541,x3544),f556(x3543,x3542,x3544))
% 92.29/92.11 [355]~E(x3551,x3552)+E(f556(x3553,x3554,x3551),f556(x3553,x3554,x3552))
% 92.29/92.11 [356]~E(x3561,x3562)+E(f888(x3561,x3563,x3564),f888(x3562,x3563,x3564))
% 92.29/92.11 [357]~E(x3571,x3572)+E(f888(x3573,x3571,x3574),f888(x3573,x3572,x3574))
% 92.29/92.11 [358]~E(x3581,x3582)+E(f888(x3583,x3584,x3581),f888(x3583,x3584,x3582))
% 92.29/92.11 [359]~E(x3591,x3592)+E(f858(x3591,x3593,x3594),f858(x3592,x3593,x3594))
% 92.29/92.11 [360]~E(x3601,x3602)+E(f858(x3603,x3601,x3604),f858(x3603,x3602,x3604))
% 92.29/92.11 [361]~E(x3611,x3612)+E(f858(x3613,x3614,x3611),f858(x3613,x3614,x3612))
% 92.29/92.11 [362]~E(x3621,x3622)+E(f461(x3621,x3623,x3624),f461(x3622,x3623,x3624))
% 92.29/92.11 [363]~E(x3631,x3632)+E(f461(x3633,x3631,x3634),f461(x3633,x3632,x3634))
% 92.29/92.11 [364]~E(x3641,x3642)+E(f461(x3643,x3644,x3641),f461(x3643,x3644,x3642))
% 92.29/92.11 [365]~E(x3651,x3652)+E(f134(x3651,x3653),f134(x3652,x3653))
% 92.29/92.11 [366]~E(x3661,x3662)+E(f134(x3663,x3661),f134(x3663,x3662))
% 92.29/92.11 [367]~E(x3671,x3672)+E(f262(x3671,x3673),f262(x3672,x3673))
% 92.29/92.11 [368]~E(x3681,x3682)+E(f262(x3683,x3681),f262(x3683,x3682))
% 92.29/92.11 [369]~E(x3691,x3692)+E(f443(x3691,x3693,x3694,x3695,x3696),f443(x3692,x3693,x3694,x3695,x3696))
% 92.29/92.11 [370]~E(x3701,x3702)+E(f443(x3703,x3701,x3704,x3705,x3706),f443(x3703,x3702,x3704,x3705,x3706))
% 92.29/92.11 [371]~E(x3711,x3712)+E(f443(x3713,x3714,x3711,x3715,x3716),f443(x3713,x3714,x3712,x3715,x3716))
% 92.29/92.11 [372]~E(x3721,x3722)+E(f443(x3723,x3724,x3725,x3721,x3726),f443(x3723,x3724,x3725,x3722,x3726))
% 92.29/92.11 [373]~E(x3731,x3732)+E(f443(x3733,x3734,x3735,x3736,x3731),f443(x3733,x3734,x3735,x3736,x3732))
% 92.29/92.11 [374]~E(x3741,x3742)+E(f859(x3741,x3743,x3744),f859(x3742,x3743,x3744))
% 92.29/92.11 [375]~E(x3751,x3752)+E(f859(x3753,x3751,x3754),f859(x3753,x3752,x3754))
% 92.29/92.11 [376]~E(x3761,x3762)+E(f859(x3763,x3764,x3761),f859(x3763,x3764,x3762))
% 92.29/92.11 [377]~E(x3771,x3772)+E(f31(x3771),f31(x3772))
% 92.29/92.11 [378]~E(x3781,x3782)+E(f43(x3781,x3783),f43(x3782,x3783))
% 92.29/92.11 [379]~E(x3791,x3792)+E(f43(x3793,x3791),f43(x3793,x3792))
% 92.29/92.11 [380]~E(x3801,x3802)+E(f757(x3801,x3803,x3804,x3805),f757(x3802,x3803,x3804,x3805))
% 92.29/92.11 [381]~E(x3811,x3812)+E(f757(x3813,x3811,x3814,x3815),f757(x3813,x3812,x3814,x3815))
% 92.29/92.11 [382]~E(x3821,x3822)+E(f757(x3823,x3824,x3821,x3825),f757(x3823,x3824,x3822,x3825))
% 92.29/92.11 [383]~E(x3831,x3832)+E(f757(x3833,x3834,x3835,x3831),f757(x3833,x3834,x3835,x3832))
% 92.29/92.11 [384]~E(x3841,x3842)+E(f16(x3841,x3843),f16(x3842,x3843))
% 92.29/92.11 [385]~E(x3851,x3852)+E(f16(x3853,x3851),f16(x3853,x3852))
% 92.29/92.11 [386]~E(x3861,x3862)+E(f854(x3861,x3863,x3864),f854(x3862,x3863,x3864))
% 92.29/92.11 [387]~E(x3871,x3872)+E(f854(x3873,x3871,x3874),f854(x3873,x3872,x3874))
% 92.29/92.11 [388]~E(x3881,x3882)+E(f854(x3883,x3884,x3881),f854(x3883,x3884,x3882))
% 92.29/92.11 [389]~E(x3891,x3892)+E(f129(x3891,x3893),f129(x3892,x3893))
% 92.29/92.11 [390]~E(x3901,x3902)+E(f129(x3903,x3901),f129(x3903,x3902))
% 92.29/92.11 [391]~E(x3911,x3912)+E(f437(x3911,x3913,x3914),f437(x3912,x3913,x3914))
% 92.29/92.11 [392]~E(x3921,x3922)+E(f437(x3923,x3921,x3924),f437(x3923,x3922,x3924))
% 92.29/92.11 [393]~E(x3931,x3932)+E(f437(x3933,x3934,x3931),f437(x3933,x3934,x3932))
% 92.29/92.11 [394]~E(x3941,x3942)+E(f640(x3941,x3943,x3944),f640(x3942,x3943,x3944))
% 92.29/92.11 [395]~E(x3951,x3952)+E(f640(x3953,x3951,x3954),f640(x3953,x3952,x3954))
% 92.29/92.11 [396]~E(x3961,x3962)+E(f640(x3963,x3964,x3961),f640(x3963,x3964,x3962))
% 92.29/92.11 [397]~E(x3971,x3972)+E(f332(x3971,x3973),f332(x3972,x3973))
% 92.29/92.11 [398]~E(x3981,x3982)+E(f332(x3983,x3981),f332(x3983,x3982))
% 92.29/92.11 [399]~E(x3991,x3992)+E(f119(x3991),f119(x3992))
% 92.29/92.11 [400]~E(x4001,x4002)+E(f109(x4001),f109(x4002))
% 92.29/92.11 [401]~E(x4011,x4012)+E(f110(x4011,x4013),f110(x4012,x4013))
% 92.29/92.11 [402]~E(x4021,x4022)+E(f110(x4023,x4021),f110(x4023,x4022))
% 92.29/92.11 [403]~E(x4031,x4032)+E(f117(x4031,x4033,x4034,x4035,x4036),f117(x4032,x4033,x4034,x4035,x4036))
% 92.29/92.11 [404]~E(x4041,x4042)+E(f117(x4043,x4041,x4044,x4045,x4046),f117(x4043,x4042,x4044,x4045,x4046))
% 92.29/92.11 [405]~E(x4051,x4052)+E(f117(x4053,x4054,x4051,x4055,x4056),f117(x4053,x4054,x4052,x4055,x4056))
% 92.29/92.11 [406]~E(x4061,x4062)+E(f117(x4063,x4064,x4065,x4061,x4066),f117(x4063,x4064,x4065,x4062,x4066))
% 92.29/92.11 [407]~E(x4071,x4072)+E(f117(x4073,x4074,x4075,x4076,x4071),f117(x4073,x4074,x4075,x4076,x4072))
% 92.29/92.11 [408]~E(x4081,x4082)+E(f764(x4081,x4083,x4084,x4085,x4086,x4087,x4088),f764(x4082,x4083,x4084,x4085,x4086,x4087,x4088))
% 92.29/92.11 [409]~E(x4091,x4092)+E(f764(x4093,x4091,x4094,x4095,x4096,x4097,x4098),f764(x4093,x4092,x4094,x4095,x4096,x4097,x4098))
% 92.29/92.11 [410]~E(x4101,x4102)+E(f764(x4103,x4104,x4101,x4105,x4106,x4107,x4108),f764(x4103,x4104,x4102,x4105,x4106,x4107,x4108))
% 92.29/92.11 [411]~E(x4111,x4112)+E(f764(x4113,x4114,x4115,x4111,x4116,x4117,x4118),f764(x4113,x4114,x4115,x4112,x4116,x4117,x4118))
% 92.29/92.11 [412]~E(x4121,x4122)+E(f764(x4123,x4124,x4125,x4126,x4121,x4127,x4128),f764(x4123,x4124,x4125,x4126,x4122,x4127,x4128))
% 92.29/92.11 [413]~E(x4131,x4132)+E(f764(x4133,x4134,x4135,x4136,x4137,x4131,x4138),f764(x4133,x4134,x4135,x4136,x4137,x4132,x4138))
% 92.29/92.11 [414]~E(x4141,x4142)+E(f764(x4143,x4144,x4145,x4146,x4147,x4148,x4141),f764(x4143,x4144,x4145,x4146,x4147,x4148,x4142))
% 92.29/92.11 [415]~E(x4151,x4152)+E(f434(x4151,x4153,x4154),f434(x4152,x4153,x4154))
% 92.29/92.11 [416]~E(x4161,x4162)+E(f434(x4163,x4161,x4164),f434(x4163,x4162,x4164))
% 92.29/92.11 [417]~E(x4171,x4172)+E(f434(x4173,x4174,x4171),f434(x4173,x4174,x4172))
% 92.29/92.11 [418]~E(x4181,x4182)+E(f36(x4181,x4183),f36(x4182,x4183))
% 92.29/92.11 [419]~E(x4191,x4192)+E(f36(x4193,x4191),f36(x4193,x4192))
% 92.29/92.11 [420]~E(x4201,x4202)+E(f79(x4201,x4203),f79(x4202,x4203))
% 92.29/92.11 [421]~E(x4211,x4212)+E(f79(x4213,x4211),f79(x4213,x4212))
% 92.29/92.11 [422]~E(x4221,x4222)+E(f847(x4221),f847(x4222))
% 92.29/92.11 [423]~E(x4231,x4232)+E(f160(x4231,x4233,x4234),f160(x4232,x4233,x4234))
% 92.29/92.11 [424]~E(x4241,x4242)+E(f160(x4243,x4241,x4244),f160(x4243,x4242,x4244))
% 92.29/92.11 [425]~E(x4251,x4252)+E(f160(x4253,x4254,x4251),f160(x4253,x4254,x4252))
% 92.29/92.11 [426]~E(x4261,x4262)+E(f696(x4261,x4263,x4264),f696(x4262,x4263,x4264))
% 92.29/92.11 [427]~E(x4271,x4272)+E(f696(x4273,x4271,x4274),f696(x4273,x4272,x4274))
% 92.29/92.11 [428]~E(x4281,x4282)+E(f696(x4283,x4284,x4281),f696(x4283,x4284,x4282))
% 92.29/92.11 [429]~E(x4291,x4292)+E(f143(x4291,x4293),f143(x4292,x4293))
% 92.29/92.11 [430]~E(x4301,x4302)+E(f143(x4303,x4301),f143(x4303,x4302))
% 92.29/92.11 [431]~E(x4311,x4312)+E(f253(x4311,x4313),f253(x4312,x4313))
% 92.29/92.11 [432]~E(x4321,x4322)+E(f253(x4323,x4321),f253(x4323,x4322))
% 92.29/92.11 [433]~E(x4331,x4332)+E(f171(x4331,x4333),f171(x4332,x4333))
% 92.29/92.11 [434]~E(x4341,x4342)+E(f171(x4343,x4341),f171(x4343,x4342))
% 92.29/92.11 [435]~E(x4351,x4352)+E(f626(x4351,x4353),f626(x4352,x4353))
% 92.29/92.11 [436]~E(x4361,x4362)+E(f626(x4363,x4361),f626(x4363,x4362))
% 92.29/92.11 [437]~E(x4371,x4372)+E(f840(x4371,x4373,x4374,x4375),f840(x4372,x4373,x4374,x4375))
% 92.29/92.11 [438]~E(x4381,x4382)+E(f840(x4383,x4381,x4384,x4385),f840(x4383,x4382,x4384,x4385))
% 92.29/92.11 [439]~E(x4391,x4392)+E(f840(x4393,x4394,x4391,x4395),f840(x4393,x4394,x4392,x4395))
% 92.29/92.11 [440]~E(x4401,x4402)+E(f840(x4403,x4404,x4405,x4401),f840(x4403,x4404,x4405,x4402))
% 92.29/92.11 [441]~E(x4411,x4412)+E(f489(x4411,x4413,x4414),f489(x4412,x4413,x4414))
% 92.29/92.11 [442]~E(x4421,x4422)+E(f489(x4423,x4421,x4424),f489(x4423,x4422,x4424))
% 92.29/92.11 [443]~E(x4431,x4432)+E(f489(x4433,x4434,x4431),f489(x4433,x4434,x4432))
% 92.29/92.11 [444]~E(x4441,x4442)+E(f830(x4441,x4443,x4444,x4445,x4446,x4447),f830(x4442,x4443,x4444,x4445,x4446,x4447))
% 92.29/92.11 [445]~E(x4451,x4452)+E(f830(x4453,x4451,x4454,x4455,x4456,x4457),f830(x4453,x4452,x4454,x4455,x4456,x4457))
% 92.29/92.11 [446]~E(x4461,x4462)+E(f830(x4463,x4464,x4461,x4465,x4466,x4467),f830(x4463,x4464,x4462,x4465,x4466,x4467))
% 92.29/92.11 [447]~E(x4471,x4472)+E(f830(x4473,x4474,x4475,x4471,x4476,x4477),f830(x4473,x4474,x4475,x4472,x4476,x4477))
% 92.29/92.11 [448]~E(x4481,x4482)+E(f830(x4483,x4484,x4485,x4486,x4481,x4487),f830(x4483,x4484,x4485,x4486,x4482,x4487))
% 92.29/92.11 [449]~E(x4491,x4492)+E(f830(x4493,x4494,x4495,x4496,x4497,x4491),f830(x4493,x4494,x4495,x4496,x4497,x4492))
% 92.29/92.11 [450]~E(x4501,x4502)+E(f57(x4501,x4503,x4504),f57(x4502,x4503,x4504))
% 92.29/92.11 [451]~E(x4511,x4512)+E(f57(x4513,x4511,x4514),f57(x4513,x4512,x4514))
% 92.29/92.11 [452]~E(x4521,x4522)+E(f57(x4523,x4524,x4521),f57(x4523,x4524,x4522))
% 92.29/92.11 [453]~E(x4531,x4532)+E(f296(x4531,x4533,x4534),f296(x4532,x4533,x4534))
% 92.29/92.11 [454]~E(x4541,x4542)+E(f296(x4543,x4541,x4544),f296(x4543,x4542,x4544))
% 92.29/92.11 [455]~E(x4551,x4552)+E(f296(x4553,x4554,x4551),f296(x4553,x4554,x4552))
% 92.29/92.11 [456]~E(x4561,x4562)+E(f155(x4561),f155(x4562))
% 92.29/92.11 [457]~E(x4571,x4572)+E(f744(x4571,x4573,x4574),f744(x4572,x4573,x4574))
% 92.29/92.11 [458]~E(x4581,x4582)+E(f744(x4583,x4581,x4584),f744(x4583,x4582,x4584))
% 92.29/92.11 [459]~E(x4591,x4592)+E(f744(x4593,x4594,x4591),f744(x4593,x4594,x4592))
% 92.29/92.11 [460]~E(x4601,x4602)+E(f886(x4601,x4603,x4604),f886(x4602,x4603,x4604))
% 92.29/92.11 [461]~E(x4611,x4612)+E(f886(x4613,x4611,x4614),f886(x4613,x4612,x4614))
% 92.29/92.11 [462]~E(x4621,x4622)+E(f886(x4623,x4624,x4621),f886(x4623,x4624,x4622))
% 92.29/92.11 [463]~E(x4631,x4632)+E(f483(x4631,x4633,x4634,x4635,x4636),f483(x4632,x4633,x4634,x4635,x4636))
% 92.29/92.11 [464]~E(x4641,x4642)+E(f483(x4643,x4641,x4644,x4645,x4646),f483(x4643,x4642,x4644,x4645,x4646))
% 92.29/92.11 [465]~E(x4651,x4652)+E(f483(x4653,x4654,x4651,x4655,x4656),f483(x4653,x4654,x4652,x4655,x4656))
% 92.29/92.11 [466]~E(x4661,x4662)+E(f483(x4663,x4664,x4665,x4661,x4666),f483(x4663,x4664,x4665,x4662,x4666))
% 92.29/92.11 [467]~E(x4671,x4672)+E(f483(x4673,x4674,x4675,x4676,x4671),f483(x4673,x4674,x4675,x4676,x4672))
% 92.29/92.11 [468]~E(x4681,x4682)+E(f357(x4681,x4683,x4684,x4685,x4686,x4687,x4688),f357(x4682,x4683,x4684,x4685,x4686,x4687,x4688))
% 92.29/92.11 [469]~E(x4691,x4692)+E(f357(x4693,x4691,x4694,x4695,x4696,x4697,x4698),f357(x4693,x4692,x4694,x4695,x4696,x4697,x4698))
% 92.29/92.11 [470]~E(x4701,x4702)+E(f357(x4703,x4704,x4701,x4705,x4706,x4707,x4708),f357(x4703,x4704,x4702,x4705,x4706,x4707,x4708))
% 92.29/92.11 [471]~E(x4711,x4712)+E(f357(x4713,x4714,x4715,x4711,x4716,x4717,x4718),f357(x4713,x4714,x4715,x4712,x4716,x4717,x4718))
% 92.29/92.11 [472]~E(x4721,x4722)+E(f357(x4723,x4724,x4725,x4726,x4721,x4727,x4728),f357(x4723,x4724,x4725,x4726,x4722,x4727,x4728))
% 92.29/92.11 [473]~E(x4731,x4732)+E(f357(x4733,x4734,x4735,x4736,x4737,x4731,x4738),f357(x4733,x4734,x4735,x4736,x4737,x4732,x4738))
% 92.29/92.11 [474]~E(x4741,x4742)+E(f357(x4743,x4744,x4745,x4746,x4747,x4748,x4741),f357(x4743,x4744,x4745,x4746,x4747,x4748,x4742))
% 92.29/92.11 [475]~E(x4751,x4752)+E(f61(x4751,x4753,x4754,x4755,x4756),f61(x4752,x4753,x4754,x4755,x4756))
% 92.29/92.11 [476]~E(x4761,x4762)+E(f61(x4763,x4761,x4764,x4765,x4766),f61(x4763,x4762,x4764,x4765,x4766))
% 92.29/92.11 [477]~E(x4771,x4772)+E(f61(x4773,x4774,x4771,x4775,x4776),f61(x4773,x4774,x4772,x4775,x4776))
% 92.29/92.11 [478]~E(x4781,x4782)+E(f61(x4783,x4784,x4785,x4781,x4786),f61(x4783,x4784,x4785,x4782,x4786))
% 92.29/92.11 [479]~E(x4791,x4792)+E(f61(x4793,x4794,x4795,x4796,x4791),f61(x4793,x4794,x4795,x4796,x4792))
% 92.29/92.11 [480]~E(x4801,x4802)+E(f241(x4801,x4803),f241(x4802,x4803))
% 92.29/92.11 [481]~E(x4811,x4812)+E(f241(x4813,x4811),f241(x4813,x4812))
% 92.29/92.11 [482]~E(x4821,x4822)+E(f492(x4821,x4823,x4824),f492(x4822,x4823,x4824))
% 92.29/92.11 [483]~E(x4831,x4832)+E(f492(x4833,x4831,x4834),f492(x4833,x4832,x4834))
% 92.29/92.11 [484]~E(x4841,x4842)+E(f492(x4843,x4844,x4841),f492(x4843,x4844,x4842))
% 92.29/92.11 [485]~E(x4851,x4852)+E(f71(x4851,x4853,x4854,x4855),f71(x4852,x4853,x4854,x4855))
% 92.29/92.11 [486]~E(x4861,x4862)+E(f71(x4863,x4861,x4864,x4865),f71(x4863,x4862,x4864,x4865))
% 92.29/92.11 [487]~E(x4871,x4872)+E(f71(x4873,x4874,x4871,x4875),f71(x4873,x4874,x4872,x4875))
% 92.29/92.11 [488]~E(x4881,x4882)+E(f71(x4883,x4884,x4885,x4881),f71(x4883,x4884,x4885,x4882))
% 92.29/92.11 [489]~E(x4891,x4892)+E(f331(x4891,x4893),f331(x4892,x4893))
% 92.29/92.11 [490]~E(x4901,x4902)+E(f331(x4903,x4901),f331(x4903,x4902))
% 92.29/92.11 [491]~E(x4911,x4912)+E(f763(x4911,x4913,x4914,x4915,x4916,x4917,x4918),f763(x4912,x4913,x4914,x4915,x4916,x4917,x4918))
% 92.29/92.11 [492]~E(x4921,x4922)+E(f763(x4923,x4921,x4924,x4925,x4926,x4927,x4928),f763(x4923,x4922,x4924,x4925,x4926,x4927,x4928))
% 92.29/92.11 [493]~E(x4931,x4932)+E(f763(x4933,x4934,x4931,x4935,x4936,x4937,x4938),f763(x4933,x4934,x4932,x4935,x4936,x4937,x4938))
% 92.29/92.11 [494]~E(x4941,x4942)+E(f763(x4943,x4944,x4945,x4941,x4946,x4947,x4948),f763(x4943,x4944,x4945,x4942,x4946,x4947,x4948))
% 92.29/92.11 [495]~E(x4951,x4952)+E(f763(x4953,x4954,x4955,x4956,x4951,x4957,x4958),f763(x4953,x4954,x4955,x4956,x4952,x4957,x4958))
% 92.29/92.11 [496]~E(x4961,x4962)+E(f763(x4963,x4964,x4965,x4966,x4967,x4961,x4968),f763(x4963,x4964,x4965,x4966,x4967,x4962,x4968))
% 92.29/92.11 [497]~E(x4971,x4972)+E(f763(x4973,x4974,x4975,x4976,x4977,x4978,x4971),f763(x4973,x4974,x4975,x4976,x4977,x4978,x4972))
% 92.29/92.11 [498]~E(x4981,x4982)+E(f336(x4981,x4983,x4984,x4985),f336(x4982,x4983,x4984,x4985))
% 92.29/92.11 [499]~E(x4991,x4992)+E(f336(x4993,x4991,x4994,x4995),f336(x4993,x4992,x4994,x4995))
% 92.29/92.11 [500]~E(x5001,x5002)+E(f336(x5003,x5004,x5001,x5005),f336(x5003,x5004,x5002,x5005))
% 92.29/92.11 [501]~E(x5011,x5012)+E(f336(x5013,x5014,x5015,x5011),f336(x5013,x5014,x5015,x5012))
% 92.29/92.11 [502]~E(x5021,x5022)+E(f416(x5021,x5023,x5024,x5025),f416(x5022,x5023,x5024,x5025))
% 92.29/92.11 [503]~E(x5031,x5032)+E(f416(x5033,x5031,x5034,x5035),f416(x5033,x5032,x5034,x5035))
% 92.29/92.11 [504]~E(x5041,x5042)+E(f416(x5043,x5044,x5041,x5045),f416(x5043,x5044,x5042,x5045))
% 92.29/92.11 [505]~E(x5051,x5052)+E(f416(x5053,x5054,x5055,x5051),f416(x5053,x5054,x5055,x5052))
% 92.29/92.11 [506]~E(x5061,x5062)+E(f407(x5061,x5063),f407(x5062,x5063))
% 92.29/92.11 [507]~E(x5071,x5072)+E(f407(x5073,x5071),f407(x5073,x5072))
% 92.29/92.11 [508]~E(x5081,x5082)+E(f140(x5081,x5083,x5084,x5085),f140(x5082,x5083,x5084,x5085))
% 92.29/92.11 [509]~E(x5091,x5092)+E(f140(x5093,x5091,x5094,x5095),f140(x5093,x5092,x5094,x5095))
% 92.29/92.11 [510]~E(x5101,x5102)+E(f140(x5103,x5104,x5101,x5105),f140(x5103,x5104,x5102,x5105))
% 92.29/92.11 [511]~E(x5111,x5112)+E(f140(x5113,x5114,x5115,x5111),f140(x5113,x5114,x5115,x5112))
% 92.29/92.11 [512]~E(x5121,x5122)+E(f173(x5121,x5123),f173(x5122,x5123))
% 92.29/92.11 [513]~E(x5131,x5132)+E(f173(x5133,x5131),f173(x5133,x5132))
% 92.29/92.11 [514]~E(x5141,x5142)+E(f836(x5141,x5143,x5144),f836(x5142,x5143,x5144))
% 92.29/92.11 [515]~E(x5151,x5152)+E(f836(x5153,x5151,x5154),f836(x5153,x5152,x5154))
% 92.29/92.11 [516]~E(x5161,x5162)+E(f836(x5163,x5164,x5161),f836(x5163,x5164,x5162))
% 92.29/92.11 [517]~E(x5171,x5172)+E(f749(x5171,x5173,x5174,x5175),f749(x5172,x5173,x5174,x5175))
% 92.29/92.11 [518]~E(x5181,x5182)+E(f749(x5183,x5181,x5184,x5185),f749(x5183,x5182,x5184,x5185))
% 92.29/92.11 [519]~E(x5191,x5192)+E(f749(x5193,x5194,x5191,x5195),f749(x5193,x5194,x5192,x5195))
% 92.29/92.11 [520]~E(x5201,x5202)+E(f749(x5203,x5204,x5205,x5201),f749(x5203,x5204,x5205,x5202))
% 92.29/92.11 [521]~E(x5211,x5212)+E(f85(x5211,x5213,x5214,x5215),f85(x5212,x5213,x5214,x5215))
% 92.29/92.11 [522]~E(x5221,x5222)+E(f85(x5223,x5221,x5224,x5225),f85(x5223,x5222,x5224,x5225))
% 92.29/92.11 [523]~E(x5231,x5232)+E(f85(x5233,x5234,x5231,x5235),f85(x5233,x5234,x5232,x5235))
% 92.29/92.11 [524]~E(x5241,x5242)+E(f85(x5243,x5244,x5245,x5241),f85(x5243,x5244,x5245,x5242))
% 92.29/92.11 [525]~E(x5251,x5252)+E(f15(x5251,x5253),f15(x5252,x5253))
% 92.29/92.11 [526]~E(x5261,x5262)+E(f15(x5263,x5261),f15(x5263,x5262))
% 92.29/92.11 [527]~E(x5271,x5272)+E(f797(x5271),f797(x5272))
% 92.29/92.11 [528]~E(x5281,x5282)+E(f304(x5281),f304(x5282))
% 92.29/92.11 [529]~E(x5291,x5292)+E(f777(x5291,x5293,x5294,x5295,x5296),f777(x5292,x5293,x5294,x5295,x5296))
% 92.29/92.11 [530]~E(x5301,x5302)+E(f777(x5303,x5301,x5304,x5305,x5306),f777(x5303,x5302,x5304,x5305,x5306))
% 92.29/92.11 [531]~E(x5311,x5312)+E(f777(x5313,x5314,x5311,x5315,x5316),f777(x5313,x5314,x5312,x5315,x5316))
% 92.29/92.11 [532]~E(x5321,x5322)+E(f777(x5323,x5324,x5325,x5321,x5326),f777(x5323,x5324,x5325,x5322,x5326))
% 92.29/92.11 [533]~E(x5331,x5332)+E(f777(x5333,x5334,x5335,x5336,x5331),f777(x5333,x5334,x5335,x5336,x5332))
% 92.29/92.11 [534]~E(x5341,x5342)+E(f86(x5341),f86(x5342))
% 92.29/92.11 [535]~E(x5351,x5352)+E(f613(x5351,x5353,x5354),f613(x5352,x5353,x5354))
% 92.29/92.11 [536]~E(x5361,x5362)+E(f613(x5363,x5361,x5364),f613(x5363,x5362,x5364))
% 92.29/92.11 [537]~E(x5371,x5372)+E(f613(x5373,x5374,x5371),f613(x5373,x5374,x5372))
% 92.29/92.11 [538]~E(x5381,x5382)+E(f835(x5381,x5383,x5384),f835(x5382,x5383,x5384))
% 92.29/92.11 [539]~E(x5391,x5392)+E(f835(x5393,x5391,x5394),f835(x5393,x5392,x5394))
% 92.29/92.11 [540]~E(x5401,x5402)+E(f835(x5403,x5404,x5401),f835(x5403,x5404,x5402))
% 92.29/92.11 [541]~E(x5411,x5412)+E(f474(x5411,x5413,x5414,x5415,x5416,x5417,x5418),f474(x5412,x5413,x5414,x5415,x5416,x5417,x5418))
% 92.29/92.11 [542]~E(x5421,x5422)+E(f474(x5423,x5421,x5424,x5425,x5426,x5427,x5428),f474(x5423,x5422,x5424,x5425,x5426,x5427,x5428))
% 92.29/92.11 [543]~E(x5431,x5432)+E(f474(x5433,x5434,x5431,x5435,x5436,x5437,x5438),f474(x5433,x5434,x5432,x5435,x5436,x5437,x5438))
% 92.29/92.11 [544]~E(x5441,x5442)+E(f474(x5443,x5444,x5445,x5441,x5446,x5447,x5448),f474(x5443,x5444,x5445,x5442,x5446,x5447,x5448))
% 92.29/92.11 [545]~E(x5451,x5452)+E(f474(x5453,x5454,x5455,x5456,x5451,x5457,x5458),f474(x5453,x5454,x5455,x5456,x5452,x5457,x5458))
% 92.29/92.11 [546]~E(x5461,x5462)+E(f474(x5463,x5464,x5465,x5466,x5467,x5461,x5468),f474(x5463,x5464,x5465,x5466,x5467,x5462,x5468))
% 92.29/92.11 [547]~E(x5471,x5472)+E(f474(x5473,x5474,x5475,x5476,x5477,x5478,x5471),f474(x5473,x5474,x5475,x5476,x5477,x5478,x5472))
% 92.29/92.11 [548]~E(x5481,x5482)+E(f206(x5481,x5483),f206(x5482,x5483))
% 92.29/92.11 [549]~E(x5491,x5492)+E(f206(x5493,x5491),f206(x5493,x5492))
% 92.29/92.11 [550]~E(x5501,x5502)+E(f702(x5501,x5503,x5504,x5505),f702(x5502,x5503,x5504,x5505))
% 92.29/92.11 [551]~E(x5511,x5512)+E(f702(x5513,x5511,x5514,x5515),f702(x5513,x5512,x5514,x5515))
% 92.29/92.11 [552]~E(x5521,x5522)+E(f702(x5523,x5524,x5521,x5525),f702(x5523,x5524,x5522,x5525))
% 92.29/92.11 [553]~E(x5531,x5532)+E(f702(x5533,x5534,x5535,x5531),f702(x5533,x5534,x5535,x5532))
% 92.29/92.11 [554]~E(x5541,x5542)+E(f785(x5541),f785(x5542))
% 92.29/92.11 [555]~E(x5551,x5552)+E(f272(x5551),f272(x5552))
% 92.29/92.11 [556]~E(x5561,x5562)+E(f688(x5561,x5563,x5564),f688(x5562,x5563,x5564))
% 92.29/92.11 [557]~E(x5571,x5572)+E(f688(x5573,x5571,x5574),f688(x5573,x5572,x5574))
% 92.29/92.11 [558]~E(x5581,x5582)+E(f688(x5583,x5584,x5581),f688(x5583,x5584,x5582))
% 92.29/92.11 [559]~E(x5591,x5592)+E(f480(x5591,x5593,x5594),f480(x5592,x5593,x5594))
% 92.29/92.11 [560]~E(x5601,x5602)+E(f480(x5603,x5601,x5604),f480(x5603,x5602,x5604))
% 92.29/92.11 [561]~E(x5611,x5612)+E(f480(x5613,x5614,x5611),f480(x5613,x5614,x5612))
% 92.29/92.11 [562]~E(x5621,x5622)+E(f137(x5621,x5623),f137(x5622,x5623))
% 92.29/92.11 [563]~E(x5631,x5632)+E(f137(x5633,x5631),f137(x5633,x5632))
% 92.29/92.11 [564]~E(x5641,x5642)+E(f131(x5641),f131(x5642))
% 92.29/92.11 [565]~E(x5651,x5652)+E(f842(x5651,x5653,x5654),f842(x5652,x5653,x5654))
% 92.29/92.11 [566]~E(x5661,x5662)+E(f842(x5663,x5661,x5664),f842(x5663,x5662,x5664))
% 92.29/92.11 [567]~E(x5671,x5672)+E(f842(x5673,x5674,x5671),f842(x5673,x5674,x5672))
% 92.29/92.11 [568]~E(x5681,x5682)+E(f834(x5681,x5683,x5684),f834(x5682,x5683,x5684))
% 92.29/92.11 [569]~E(x5691,x5692)+E(f834(x5693,x5691,x5694),f834(x5693,x5692,x5694))
% 92.29/92.11 [570]~E(x5701,x5702)+E(f834(x5703,x5704,x5701),f834(x5703,x5704,x5702))
% 92.29/92.11 [571]~E(x5711,x5712)+E(f817(x5711,x5713,x5714,x5715,x5716,x5717,x5718),f817(x5712,x5713,x5714,x5715,x5716,x5717,x5718))
% 92.29/92.11 [572]~E(x5721,x5722)+E(f817(x5723,x5721,x5724,x5725,x5726,x5727,x5728),f817(x5723,x5722,x5724,x5725,x5726,x5727,x5728))
% 92.29/92.11 [573]~E(x5731,x5732)+E(f817(x5733,x5734,x5731,x5735,x5736,x5737,x5738),f817(x5733,x5734,x5732,x5735,x5736,x5737,x5738))
% 92.29/92.11 [574]~E(x5741,x5742)+E(f817(x5743,x5744,x5745,x5741,x5746,x5747,x5748),f817(x5743,x5744,x5745,x5742,x5746,x5747,x5748))
% 92.29/92.11 [575]~E(x5751,x5752)+E(f817(x5753,x5754,x5755,x5756,x5751,x5757,x5758),f817(x5753,x5754,x5755,x5756,x5752,x5757,x5758))
% 92.29/92.11 [576]~E(x5761,x5762)+E(f817(x5763,x5764,x5765,x5766,x5767,x5761,x5768),f817(x5763,x5764,x5765,x5766,x5767,x5762,x5768))
% 92.29/92.11 [577]~E(x5771,x5772)+E(f817(x5773,x5774,x5775,x5776,x5777,x5778,x5771),f817(x5773,x5774,x5775,x5776,x5777,x5778,x5772))
% 92.29/92.11 [578]~E(x5781,x5782)+E(f289(x5781,x5783,x5784,x5785),f289(x5782,x5783,x5784,x5785))
% 92.29/92.11 [579]~E(x5791,x5792)+E(f289(x5793,x5791,x5794,x5795),f289(x5793,x5792,x5794,x5795))
% 92.29/92.11 [580]~E(x5801,x5802)+E(f289(x5803,x5804,x5801,x5805),f289(x5803,x5804,x5802,x5805))
% 92.29/92.11 [581]~E(x5811,x5812)+E(f289(x5813,x5814,x5815,x5811),f289(x5813,x5814,x5815,x5812))
% 92.29/92.11 [582]~E(x5821,x5822)+E(f500(x5821,x5823,x5824),f500(x5822,x5823,x5824))
% 92.29/92.11 [583]~E(x5831,x5832)+E(f500(x5833,x5831,x5834),f500(x5833,x5832,x5834))
% 92.29/92.11 [584]~E(x5841,x5842)+E(f500(x5843,x5844,x5841),f500(x5843,x5844,x5842))
% 92.29/92.11 [585]~E(x5851,x5852)+E(f81(x5851),f81(x5852))
% 92.29/92.11 [586]~E(x5861,x5862)+E(f338(x5861,x5863,x5864,x5865),f338(x5862,x5863,x5864,x5865))
% 92.29/92.11 [587]~E(x5871,x5872)+E(f338(x5873,x5871,x5874,x5875),f338(x5873,x5872,x5874,x5875))
% 92.29/92.11 [588]~E(x5881,x5882)+E(f338(x5883,x5884,x5881,x5885),f338(x5883,x5884,x5882,x5885))
% 92.29/92.11 [589]~E(x5891,x5892)+E(f338(x5893,x5894,x5895,x5891),f338(x5893,x5894,x5895,x5892))
% 92.29/92.11 [590]~E(x5901,x5902)+E(f809(x5901,x5903,x5904,x5905),f809(x5902,x5903,x5904,x5905))
% 92.29/92.11 [591]~E(x5911,x5912)+E(f809(x5913,x5911,x5914,x5915),f809(x5913,x5912,x5914,x5915))
% 92.29/92.11 [592]~E(x5921,x5922)+E(f809(x5923,x5924,x5921,x5925),f809(x5923,x5924,x5922,x5925))
% 92.29/92.11 [593]~E(x5931,x5932)+E(f809(x5933,x5934,x5935,x5931),f809(x5933,x5934,x5935,x5932))
% 92.29/92.11 [594]~E(x5941,x5942)+E(f390(x5941,x5943,x5944,x5945),f390(x5942,x5943,x5944,x5945))
% 92.29/92.11 [595]~E(x5951,x5952)+E(f390(x5953,x5951,x5954,x5955),f390(x5953,x5952,x5954,x5955))
% 92.29/92.11 [596]~E(x5961,x5962)+E(f390(x5963,x5964,x5961,x5965),f390(x5963,x5964,x5962,x5965))
% 92.29/92.11 [597]~E(x5971,x5972)+E(f390(x5973,x5974,x5975,x5971),f390(x5973,x5974,x5975,x5972))
% 92.29/92.11 [598]~E(x5981,x5982)+E(f243(x5981,x5983,x5984,x5985,x5986),f243(x5982,x5983,x5984,x5985,x5986))
% 92.29/92.11 [599]~E(x5991,x5992)+E(f243(x5993,x5991,x5994,x5995,x5996),f243(x5993,x5992,x5994,x5995,x5996))
% 92.29/92.11 [600]~E(x6001,x6002)+E(f243(x6003,x6004,x6001,x6005,x6006),f243(x6003,x6004,x6002,x6005,x6006))
% 92.29/92.11 [601]~E(x6011,x6012)+E(f243(x6013,x6014,x6015,x6011,x6016),f243(x6013,x6014,x6015,x6012,x6016))
% 92.29/92.11 [602]~E(x6021,x6022)+E(f243(x6023,x6024,x6025,x6026,x6021),f243(x6023,x6024,x6025,x6026,x6022))
% 92.29/92.11 [603]~E(x6031,x6032)+E(f667(x6031,x6033,x6034),f667(x6032,x6033,x6034))
% 92.29/92.11 [604]~E(x6041,x6042)+E(f667(x6043,x6041,x6044),f667(x6043,x6042,x6044))
% 92.29/92.11 [605]~E(x6051,x6052)+E(f667(x6053,x6054,x6051),f667(x6053,x6054,x6052))
% 92.29/92.11 [606]~E(x6061,x6062)+E(f51(x6061,x6063,x6064),f51(x6062,x6063,x6064))
% 92.29/92.11 [607]~E(x6071,x6072)+E(f51(x6073,x6071,x6074),f51(x6073,x6072,x6074))
% 92.29/92.11 [608]~E(x6081,x6082)+E(f51(x6083,x6084,x6081),f51(x6083,x6084,x6082))
% 92.29/92.11 [609]~E(x6091,x6092)+E(f582(x6091,x6093,x6094,x6095,x6096,x6097,x6098,x6099),f582(x6092,x6093,x6094,x6095,x6096,x6097,x6098,x6099))
% 92.29/92.11 [610]~E(x6101,x6102)+E(f582(x6103,x6101,x6104,x6105,x6106,x6107,x6108,x6109),f582(x6103,x6102,x6104,x6105,x6106,x6107,x6108,x6109))
% 92.29/92.11 [611]~E(x6111,x6112)+E(f582(x6113,x6114,x6111,x6115,x6116,x6117,x6118,x6119),f582(x6113,x6114,x6112,x6115,x6116,x6117,x6118,x6119))
% 92.29/92.11 [612]~E(x6121,x6122)+E(f582(x6123,x6124,x6125,x6121,x6126,x6127,x6128,x6129),f582(x6123,x6124,x6125,x6122,x6126,x6127,x6128,x6129))
% 92.29/92.11 [613]~E(x6131,x6132)+E(f582(x6133,x6134,x6135,x6136,x6131,x6137,x6138,x6139),f582(x6133,x6134,x6135,x6136,x6132,x6137,x6138,x6139))
% 92.29/92.11 [614]~E(x6141,x6142)+E(f582(x6143,x6144,x6145,x6146,x6147,x6141,x6148,x6149),f582(x6143,x6144,x6145,x6146,x6147,x6142,x6148,x6149))
% 92.29/92.11 [615]~E(x6151,x6152)+E(f582(x6153,x6154,x6155,x6156,x6157,x6158,x6151,x6159),f582(x6153,x6154,x6155,x6156,x6157,x6158,x6152,x6159))
% 92.29/92.11 [616]~E(x6161,x6162)+E(f582(x6163,x6164,x6165,x6166,x6167,x6168,x6169,x6161),f582(x6163,x6164,x6165,x6166,x6167,x6168,x6169,x6162))
% 92.29/92.11 [617]~E(x6171,x6172)+E(f428(x6171,x6173,x6174,x6175,x6176,x6177,x6178),f428(x6172,x6173,x6174,x6175,x6176,x6177,x6178))
% 92.29/92.11 [618]~E(x6181,x6182)+E(f428(x6183,x6181,x6184,x6185,x6186,x6187,x6188),f428(x6183,x6182,x6184,x6185,x6186,x6187,x6188))
% 92.29/92.11 [619]~E(x6191,x6192)+E(f428(x6193,x6194,x6191,x6195,x6196,x6197,x6198),f428(x6193,x6194,x6192,x6195,x6196,x6197,x6198))
% 92.29/92.11 [620]~E(x6201,x6202)+E(f428(x6203,x6204,x6205,x6201,x6206,x6207,x6208),f428(x6203,x6204,x6205,x6202,x6206,x6207,x6208))
% 92.29/92.11 [621]~E(x6211,x6212)+E(f428(x6213,x6214,x6215,x6216,x6211,x6217,x6218),f428(x6213,x6214,x6215,x6216,x6212,x6217,x6218))
% 92.29/92.11 [622]~E(x6221,x6222)+E(f428(x6223,x6224,x6225,x6226,x6227,x6221,x6228),f428(x6223,x6224,x6225,x6226,x6227,x6222,x6228))
% 92.29/92.11 [623]~E(x6231,x6232)+E(f428(x6233,x6234,x6235,x6236,x6237,x6238,x6231),f428(x6233,x6234,x6235,x6236,x6237,x6238,x6232))
% 92.29/92.11 [624]~E(x6241,x6242)+E(f115(x6241,x6243),f115(x6242,x6243))
% 92.29/92.11 [625]~E(x6251,x6252)+E(f115(x6253,x6251),f115(x6253,x6252))
% 92.29/92.11 [626]~E(x6261,x6262)+E(f295(x6261,x6263,x6264),f295(x6262,x6263,x6264))
% 92.29/92.11 [627]~E(x6271,x6272)+E(f295(x6273,x6271,x6274),f295(x6273,x6272,x6274))
% 92.29/92.11 [628]~E(x6281,x6282)+E(f295(x6283,x6284,x6281),f295(x6283,x6284,x6282))
% 92.29/92.11 [629]~E(x6291,x6292)+E(f651(x6291,x6293,x6294,x6295),f651(x6292,x6293,x6294,x6295))
% 92.29/92.11 [630]~E(x6301,x6302)+E(f651(x6303,x6301,x6304,x6305),f651(x6303,x6302,x6304,x6305))
% 92.29/92.11 [631]~E(x6311,x6312)+E(f651(x6313,x6314,x6311,x6315),f651(x6313,x6314,x6312,x6315))
% 92.29/92.11 [632]~E(x6321,x6322)+E(f651(x6323,x6324,x6325,x6321),f651(x6323,x6324,x6325,x6322))
% 92.29/92.11 [633]~E(x6331,x6332)+E(f246(x6331,x6333),f246(x6332,x6333))
% 92.29/92.11 [634]~E(x6341,x6342)+E(f246(x6343,x6341),f246(x6343,x6342))
% 92.29/92.11 [635]~E(x6351,x6352)+E(f245(x6351,x6353,x6354,x6355),f245(x6352,x6353,x6354,x6355))
% 92.29/92.11 [636]~E(x6361,x6362)+E(f245(x6363,x6361,x6364,x6365),f245(x6363,x6362,x6364,x6365))
% 92.29/92.11 [637]~E(x6371,x6372)+E(f245(x6373,x6374,x6371,x6375),f245(x6373,x6374,x6372,x6375))
% 92.29/92.11 [638]~E(x6381,x6382)+E(f245(x6383,x6384,x6385,x6381),f245(x6383,x6384,x6385,x6382))
% 92.29/92.11 [639]~E(x6391,x6392)+E(f422(x6391,x6393,x6394),f422(x6392,x6393,x6394))
% 92.29/92.11 [640]~E(x6401,x6402)+E(f422(x6403,x6401,x6404),f422(x6403,x6402,x6404))
% 92.29/92.11 [641]~E(x6411,x6412)+E(f422(x6413,x6414,x6411),f422(x6413,x6414,x6412))
% 92.29/92.11 [642]~E(x6421,x6422)+E(f306(x6421,x6423),f306(x6422,x6423))
% 92.29/92.11 [643]~E(x6431,x6432)+E(f306(x6433,x6431),f306(x6433,x6432))
% 92.29/92.11 [644]~E(x6441,x6442)+E(f254(x6441,x6443),f254(x6442,x6443))
% 92.29/92.11 [645]~E(x6451,x6452)+E(f254(x6453,x6451),f254(x6453,x6452))
% 92.29/92.11 [646]~E(x6461,x6462)+E(f69(x6461,x6463,x6464,x6465,x6466),f69(x6462,x6463,x6464,x6465,x6466))
% 92.29/92.11 [647]~E(x6471,x6472)+E(f69(x6473,x6471,x6474,x6475,x6476),f69(x6473,x6472,x6474,x6475,x6476))
% 92.29/92.11 [648]~E(x6481,x6482)+E(f69(x6483,x6484,x6481,x6485,x6486),f69(x6483,x6484,x6482,x6485,x6486))
% 92.29/92.11 [649]~E(x6491,x6492)+E(f69(x6493,x6494,x6495,x6491,x6496),f69(x6493,x6494,x6495,x6492,x6496))
% 92.29/92.11 [650]~E(x6501,x6502)+E(f69(x6503,x6504,x6505,x6506,x6501),f69(x6503,x6504,x6505,x6506,x6502))
% 92.29/92.11 [651]~E(x6511,x6512)+E(f335(x6511,x6513,x6514,x6515),f335(x6512,x6513,x6514,x6515))
% 92.29/92.11 [652]~E(x6521,x6522)+E(f335(x6523,x6521,x6524,x6525),f335(x6523,x6522,x6524,x6525))
% 92.29/92.11 [653]~E(x6531,x6532)+E(f335(x6533,x6534,x6531,x6535),f335(x6533,x6534,x6532,x6535))
% 92.29/92.11 [654]~E(x6541,x6542)+E(f335(x6543,x6544,x6545,x6541),f335(x6543,x6544,x6545,x6542))
% 92.29/92.11 [655]~E(x6551,x6552)+E(f585(x6551,x6553,x6554,x6555,x6556),f585(x6552,x6553,x6554,x6555,x6556))
% 92.29/92.11 [656]~E(x6561,x6562)+E(f585(x6563,x6561,x6564,x6565,x6566),f585(x6563,x6562,x6564,x6565,x6566))
% 92.29/92.11 [657]~E(x6571,x6572)+E(f585(x6573,x6574,x6571,x6575,x6576),f585(x6573,x6574,x6572,x6575,x6576))
% 92.29/92.11 [658]~E(x6581,x6582)+E(f585(x6583,x6584,x6585,x6581,x6586),f585(x6583,x6584,x6585,x6582,x6586))
% 92.29/92.11 [659]~E(x6591,x6592)+E(f585(x6593,x6594,x6595,x6596,x6591),f585(x6593,x6594,x6595,x6596,x6592))
% 92.29/92.11 [660]~E(x6601,x6602)+E(f718(x6601,x6603,x6604,x6605),f718(x6602,x6603,x6604,x6605))
% 92.29/92.11 [661]~E(x6611,x6612)+E(f718(x6613,x6611,x6614,x6615),f718(x6613,x6612,x6614,x6615))
% 92.29/92.11 [662]~E(x6621,x6622)+E(f718(x6623,x6624,x6621,x6625),f718(x6623,x6624,x6622,x6625))
% 92.29/92.11 [663]~E(x6631,x6632)+E(f718(x6633,x6634,x6635,x6631),f718(x6633,x6634,x6635,x6632))
% 92.29/92.11 [664]~E(x6641,x6642)+E(f603(x6641,x6643,x6644),f603(x6642,x6643,x6644))
% 92.29/92.11 [665]~E(x6651,x6652)+E(f603(x6653,x6651,x6654),f603(x6653,x6652,x6654))
% 92.29/92.11 [666]~E(x6661,x6662)+E(f603(x6663,x6664,x6661),f603(x6663,x6664,x6662))
% 92.29/92.12 [667]~E(x6671,x6672)+E(f436(x6671,x6673,x6674),f436(x6672,x6673,x6674))
% 92.29/92.12 [668]~E(x6681,x6682)+E(f436(x6683,x6681,x6684),f436(x6683,x6682,x6684))
% 92.29/92.12 [669]~E(x6691,x6692)+E(f436(x6693,x6694,x6691),f436(x6693,x6694,x6692))
% 92.29/92.12 [670]~E(x6701,x6702)+E(f149(x6701,x6703),f149(x6702,x6703))
% 92.29/92.12 [671]~E(x6711,x6712)+E(f149(x6713,x6711),f149(x6713,x6712))
% 92.29/92.12 [672]~E(x6721,x6722)+E(f594(x6721,x6723,x6724,x6725,x6726),f594(x6722,x6723,x6724,x6725,x6726))
% 92.29/92.12 [673]~E(x6731,x6732)+E(f594(x6733,x6731,x6734,x6735,x6736),f594(x6733,x6732,x6734,x6735,x6736))
% 92.29/92.12 [674]~E(x6741,x6742)+E(f594(x6743,x6744,x6741,x6745,x6746),f594(x6743,x6744,x6742,x6745,x6746))
% 92.29/92.12 [675]~E(x6751,x6752)+E(f594(x6753,x6754,x6755,x6751,x6756),f594(x6753,x6754,x6755,x6752,x6756))
% 92.29/92.12 [676]~E(x6761,x6762)+E(f594(x6763,x6764,x6765,x6766,x6761),f594(x6763,x6764,x6765,x6766,x6762))
% 92.29/92.12 [677]~E(x6771,x6772)+E(f531(x6771,x6773,x6774,x6775),f531(x6772,x6773,x6774,x6775))
% 92.29/92.12 [678]~E(x6781,x6782)+E(f531(x6783,x6781,x6784,x6785),f531(x6783,x6782,x6784,x6785))
% 92.29/92.12 [679]~E(x6791,x6792)+E(f531(x6793,x6794,x6791,x6795),f531(x6793,x6794,x6792,x6795))
% 92.29/92.12 [680]~E(x6801,x6802)+E(f531(x6803,x6804,x6805,x6801),f531(x6803,x6804,x6805,x6802))
% 92.29/92.12 [681]~E(x6811,x6812)+E(f233(x6811,x6813,x6814),f233(x6812,x6813,x6814))
% 92.29/92.12 [682]~E(x6821,x6822)+E(f233(x6823,x6821,x6824),f233(x6823,x6822,x6824))
% 92.29/92.12 [683]~E(x6831,x6832)+E(f233(x6833,x6834,x6831),f233(x6833,x6834,x6832))
% 92.29/92.12 [684]~E(x6841,x6842)+E(f150(x6841,x6843),f150(x6842,x6843))
% 92.29/92.12 [685]~E(x6851,x6852)+E(f150(x6853,x6851),f150(x6853,x6852))
% 92.29/92.12 [686]~E(x6861,x6862)+E(f258(x6861,x6863),f258(x6862,x6863))
% 92.29/92.12 [687]~E(x6871,x6872)+E(f258(x6873,x6871),f258(x6873,x6872))
% 92.29/92.12 [688]~E(x6881,x6882)+E(f623(x6881,x6883,x6884,x6885),f623(x6882,x6883,x6884,x6885))
% 92.29/92.12 [689]~E(x6891,x6892)+E(f623(x6893,x6891,x6894,x6895),f623(x6893,x6892,x6894,x6895))
% 92.29/92.12 [690]~E(x6901,x6902)+E(f623(x6903,x6904,x6901,x6905),f623(x6903,x6904,x6902,x6905))
% 92.29/92.12 [691]~E(x6911,x6912)+E(f623(x6913,x6914,x6915,x6911),f623(x6913,x6914,x6915,x6912))
% 92.29/92.12 [692]~E(x6921,x6922)+E(f269(x6921,x6923,x6924,x6925),f269(x6922,x6923,x6924,x6925))
% 92.29/92.12 [693]~E(x6931,x6932)+E(f269(x6933,x6931,x6934,x6935),f269(x6933,x6932,x6934,x6935))
% 92.29/92.12 [694]~E(x6941,x6942)+E(f269(x6943,x6944,x6941,x6945),f269(x6943,x6944,x6942,x6945))
% 92.29/92.12 [695]~E(x6951,x6952)+E(f269(x6953,x6954,x6955,x6951),f269(x6953,x6954,x6955,x6952))
% 92.29/92.12 [696]~E(x6961,x6962)+E(f424(x6961,x6963,x6964,x6965,x6966,x6967),f424(x6962,x6963,x6964,x6965,x6966,x6967))
% 92.29/92.12 [697]~E(x6971,x6972)+E(f424(x6973,x6971,x6974,x6975,x6976,x6977),f424(x6973,x6972,x6974,x6975,x6976,x6977))
% 92.29/92.12 [698]~E(x6981,x6982)+E(f424(x6983,x6984,x6981,x6985,x6986,x6987),f424(x6983,x6984,x6982,x6985,x6986,x6987))
% 92.29/92.12 [699]~E(x6991,x6992)+E(f424(x6993,x6994,x6995,x6991,x6996,x6997),f424(x6993,x6994,x6995,x6992,x6996,x6997))
% 92.29/92.12 [700]~E(x7001,x7002)+E(f424(x7003,x7004,x7005,x7006,x7001,x7007),f424(x7003,x7004,x7005,x7006,x7002,x7007))
% 92.29/92.12 [701]~E(x7011,x7012)+E(f424(x7013,x7014,x7015,x7016,x7017,x7011),f424(x7013,x7014,x7015,x7016,x7017,x7012))
% 92.29/92.12 [702]~E(x7021,x7022)+E(f408(x7021,x7023),f408(x7022,x7023))
% 92.29/92.12 [703]~E(x7031,x7032)+E(f408(x7033,x7031),f408(x7033,x7032))
% 92.29/92.12 [704]~E(x7041,x7042)+E(f715(x7041,x7043),f715(x7042,x7043))
% 92.29/92.12 [705]~E(x7051,x7052)+E(f715(x7053,x7051),f715(x7053,x7052))
% 92.29/92.12 [706]~E(x7061,x7062)+E(f415(x7061,x7063,x7064,x7065),f415(x7062,x7063,x7064,x7065))
% 92.29/92.12 [707]~E(x7071,x7072)+E(f415(x7073,x7071,x7074,x7075),f415(x7073,x7072,x7074,x7075))
% 92.29/92.12 [708]~E(x7081,x7082)+E(f415(x7083,x7084,x7081,x7085),f415(x7083,x7084,x7082,x7085))
% 92.29/92.12 [709]~E(x7091,x7092)+E(f415(x7093,x7094,x7095,x7091),f415(x7093,x7094,x7095,x7092))
% 92.29/92.12 [710]~E(x7101,x7102)+E(f861(x7101,x7103,x7104,x7105,x7106),f861(x7102,x7103,x7104,x7105,x7106))
% 92.29/92.12 [711]~E(x7111,x7112)+E(f861(x7113,x7111,x7114,x7115,x7116),f861(x7113,x7112,x7114,x7115,x7116))
% 92.29/92.12 [712]~E(x7121,x7122)+E(f861(x7123,x7124,x7121,x7125,x7126),f861(x7123,x7124,x7122,x7125,x7126))
% 92.29/92.12 [713]~E(x7131,x7132)+E(f861(x7133,x7134,x7135,x7131,x7136),f861(x7133,x7134,x7135,x7132,x7136))
% 92.29/92.12 [714]~E(x7141,x7142)+E(f861(x7143,x7144,x7145,x7146,x7141),f861(x7143,x7144,x7145,x7146,x7142))
% 92.29/92.12 [715]~E(x7151,x7152)+E(f398(x7151,x7153,x7154,x7155),f398(x7152,x7153,x7154,x7155))
% 92.29/92.12 [716]~E(x7161,x7162)+E(f398(x7163,x7161,x7164,x7165),f398(x7163,x7162,x7164,x7165))
% 92.29/92.12 [717]~E(x7171,x7172)+E(f398(x7173,x7174,x7171,x7175),f398(x7173,x7174,x7172,x7175))
% 92.29/92.12 [718]~E(x7181,x7182)+E(f398(x7183,x7184,x7185,x7181),f398(x7183,x7184,x7185,x7182))
% 92.29/92.12 [719]~E(x7191,x7192)+E(f426(x7191,x7193,x7194,x7195,x7196,x7197,x7198),f426(x7192,x7193,x7194,x7195,x7196,x7197,x7198))
% 92.29/92.12 [720]~E(x7201,x7202)+E(f426(x7203,x7201,x7204,x7205,x7206,x7207,x7208),f426(x7203,x7202,x7204,x7205,x7206,x7207,x7208))
% 92.29/92.12 [721]~E(x7211,x7212)+E(f426(x7213,x7214,x7211,x7215,x7216,x7217,x7218),f426(x7213,x7214,x7212,x7215,x7216,x7217,x7218))
% 92.29/92.12 [722]~E(x7221,x7222)+E(f426(x7223,x7224,x7225,x7221,x7226,x7227,x7228),f426(x7223,x7224,x7225,x7222,x7226,x7227,x7228))
% 92.29/92.12 [723]~E(x7231,x7232)+E(f426(x7233,x7234,x7235,x7236,x7231,x7237,x7238),f426(x7233,x7234,x7235,x7236,x7232,x7237,x7238))
% 92.29/92.12 [724]~E(x7241,x7242)+E(f426(x7243,x7244,x7245,x7246,x7247,x7241,x7248),f426(x7243,x7244,x7245,x7246,x7247,x7242,x7248))
% 92.29/92.12 [725]~E(x7251,x7252)+E(f426(x7253,x7254,x7255,x7256,x7257,x7258,x7251),f426(x7253,x7254,x7255,x7256,x7257,x7258,x7252))
% 92.29/92.12 [726]~E(x7261,x7262)+E(f44(x7261,x7263),f44(x7262,x7263))
% 92.29/92.12 [727]~E(x7271,x7272)+E(f44(x7273,x7271),f44(x7273,x7272))
% 92.29/92.12 [728]~E(x7281,x7282)+E(f862(x7281,x7283,x7284),f862(x7282,x7283,x7284))
% 92.29/92.12 [729]~E(x7291,x7292)+E(f862(x7293,x7291,x7294),f862(x7293,x7292,x7294))
% 92.29/92.12 [730]~E(x7301,x7302)+E(f862(x7303,x7304,x7301),f862(x7303,x7304,x7302))
% 92.29/92.12 [731]~E(x7311,x7312)+E(f14(x7311,x7313),f14(x7312,x7313))
% 92.29/92.12 [732]~E(x7321,x7322)+E(f14(x7323,x7321),f14(x7323,x7322))
% 92.29/92.12 [733]~E(x7331,x7332)+E(f60(x7331,x7333,x7334),f60(x7332,x7333,x7334))
% 92.29/92.12 [734]~E(x7341,x7342)+E(f60(x7343,x7341,x7344),f60(x7343,x7342,x7344))
% 92.29/92.12 [735]~E(x7351,x7352)+E(f60(x7353,x7354,x7351),f60(x7353,x7354,x7352))
% 92.29/92.12 [736]~E(x7361,x7362)+E(f365(x7361,x7363,x7364,x7365,x7366),f365(x7362,x7363,x7364,x7365,x7366))
% 92.29/92.12 [737]~E(x7371,x7372)+E(f365(x7373,x7371,x7374,x7375,x7376),f365(x7373,x7372,x7374,x7375,x7376))
% 92.29/92.12 [738]~E(x7381,x7382)+E(f365(x7383,x7384,x7381,x7385,x7386),f365(x7383,x7384,x7382,x7385,x7386))
% 92.29/92.12 [739]~E(x7391,x7392)+E(f365(x7393,x7394,x7395,x7391,x7396),f365(x7393,x7394,x7395,x7392,x7396))
% 92.29/92.12 [740]~E(x7401,x7402)+E(f365(x7403,x7404,x7405,x7406,x7401),f365(x7403,x7404,x7405,x7406,x7402))
% 92.29/92.12 [741]~E(x7411,x7412)+E(f450(x7411,x7413,x7414),f450(x7412,x7413,x7414))
% 92.29/92.12 [742]~E(x7421,x7422)+E(f450(x7423,x7421,x7424),f450(x7423,x7422,x7424))
% 92.29/92.12 [743]~E(x7431,x7432)+E(f450(x7433,x7434,x7431),f450(x7433,x7434,x7432))
% 92.29/92.12 [744]~E(x7441,x7442)+E(f709(x7441,x7443),f709(x7442,x7443))
% 92.29/92.12 [745]~E(x7451,x7452)+E(f709(x7453,x7451),f709(x7453,x7452))
% 92.29/92.12 [746]~E(x7461,x7462)+E(f350(x7461,x7463,x7464),f350(x7462,x7463,x7464))
% 92.29/92.12 [747]~E(x7471,x7472)+E(f350(x7473,x7471,x7474),f350(x7473,x7472,x7474))
% 92.29/92.12 [748]~E(x7481,x7482)+E(f350(x7483,x7484,x7481),f350(x7483,x7484,x7482))
% 92.29/92.12 [749]~E(x7491,x7492)+E(f794(x7491,x7493,x7494,x7495,x7496,x7497),f794(x7492,x7493,x7494,x7495,x7496,x7497))
% 92.29/92.12 [750]~E(x7501,x7502)+E(f794(x7503,x7501,x7504,x7505,x7506,x7507),f794(x7503,x7502,x7504,x7505,x7506,x7507))
% 92.29/92.12 [751]~E(x7511,x7512)+E(f794(x7513,x7514,x7511,x7515,x7516,x7517),f794(x7513,x7514,x7512,x7515,x7516,x7517))
% 92.29/92.12 [752]~E(x7521,x7522)+E(f794(x7523,x7524,x7525,x7521,x7526,x7527),f794(x7523,x7524,x7525,x7522,x7526,x7527))
% 92.29/92.12 [753]~E(x7531,x7532)+E(f794(x7533,x7534,x7535,x7536,x7531,x7537),f794(x7533,x7534,x7535,x7536,x7532,x7537))
% 92.29/92.12 [754]~E(x7541,x7542)+E(f794(x7543,x7544,x7545,x7546,x7547,x7541),f794(x7543,x7544,x7545,x7546,x7547,x7542))
% 92.29/92.12 [755]~E(x7551,x7552)+E(f334(x7551,x7553,x7554),f334(x7552,x7553,x7554))
% 92.29/92.12 [756]~E(x7561,x7562)+E(f334(x7563,x7561,x7564),f334(x7563,x7562,x7564))
% 92.29/92.12 [757]~E(x7571,x7572)+E(f334(x7573,x7574,x7571),f334(x7573,x7574,x7572))
% 92.29/92.12 [758]~E(x7581,x7582)+E(f733(x7581,x7583,x7584),f733(x7582,x7583,x7584))
% 92.29/92.12 [759]~E(x7591,x7592)+E(f733(x7593,x7591,x7594),f733(x7593,x7592,x7594))
% 92.29/92.12 [760]~E(x7601,x7602)+E(f733(x7603,x7604,x7601),f733(x7603,x7604,x7602))
% 92.29/92.12 [761]~E(x7611,x7612)+E(f846(x7611,x7613,x7614),f846(x7612,x7613,x7614))
% 92.29/92.12 [762]~E(x7621,x7622)+E(f846(x7623,x7621,x7624),f846(x7623,x7622,x7624))
% 92.29/92.12 [763]~E(x7631,x7632)+E(f846(x7633,x7634,x7631),f846(x7633,x7634,x7632))
% 92.29/92.12 [764]~E(x7641,x7642)+E(f286(x7641,x7643,x7644),f286(x7642,x7643,x7644))
% 92.29/92.12 [765]~E(x7651,x7652)+E(f286(x7653,x7651,x7654),f286(x7653,x7652,x7654))
% 92.29/92.12 [766]~E(x7661,x7662)+E(f286(x7663,x7664,x7661),f286(x7663,x7664,x7662))
% 92.29/92.12 [767]~E(x7671,x7672)+E(f409(x7671,x7673),f409(x7672,x7673))
% 92.29/92.12 [768]~E(x7681,x7682)+E(f409(x7683,x7681),f409(x7683,x7682))
% 92.29/92.12 [769]~E(x7691,x7692)+E(f120(x7691,x7693,x7694,x7695),f120(x7692,x7693,x7694,x7695))
% 92.29/92.12 [770]~E(x7701,x7702)+E(f120(x7703,x7701,x7704,x7705),f120(x7703,x7702,x7704,x7705))
% 92.29/92.12 [771]~E(x7711,x7712)+E(f120(x7713,x7714,x7711,x7715),f120(x7713,x7714,x7712,x7715))
% 92.29/92.12 [772]~E(x7721,x7722)+E(f120(x7723,x7724,x7725,x7721),f120(x7723,x7724,x7725,x7722))
% 92.29/92.12 [773]~E(x7731,x7732)+E(f184(x7731,x7733),f184(x7732,x7733))
% 92.29/92.12 [774]~E(x7741,x7742)+E(f184(x7743,x7741),f184(x7743,x7742))
% 92.29/92.12 [775]~E(x7751,x7752)+E(f815(x7751,x7753,x7754,x7755,x7756,x7757,x7758,x7759),f815(x7752,x7753,x7754,x7755,x7756,x7757,x7758,x7759))
% 92.29/92.12 [776]~E(x7761,x7762)+E(f815(x7763,x7761,x7764,x7765,x7766,x7767,x7768,x7769),f815(x7763,x7762,x7764,x7765,x7766,x7767,x7768,x7769))
% 92.29/92.12 [777]~E(x7771,x7772)+E(f815(x7773,x7774,x7771,x7775,x7776,x7777,x7778,x7779),f815(x7773,x7774,x7772,x7775,x7776,x7777,x7778,x7779))
% 92.29/92.12 [778]~E(x7781,x7782)+E(f815(x7783,x7784,x7785,x7781,x7786,x7787,x7788,x7789),f815(x7783,x7784,x7785,x7782,x7786,x7787,x7788,x7789))
% 92.29/92.12 [779]~E(x7791,x7792)+E(f815(x7793,x7794,x7795,x7796,x7791,x7797,x7798,x7799),f815(x7793,x7794,x7795,x7796,x7792,x7797,x7798,x7799))
% 92.29/92.12 [780]~E(x7801,x7802)+E(f815(x7803,x7804,x7805,x7806,x7807,x7801,x7808,x7809),f815(x7803,x7804,x7805,x7806,x7807,x7802,x7808,x7809))
% 92.29/92.12 [781]~E(x7811,x7812)+E(f815(x7813,x7814,x7815,x7816,x7817,x7818,x7811,x7819),f815(x7813,x7814,x7815,x7816,x7817,x7818,x7812,x7819))
% 92.29/92.12 [782]~E(x7821,x7822)+E(f815(x7823,x7824,x7825,x7826,x7827,x7828,x7829,x7821),f815(x7823,x7824,x7825,x7826,x7827,x7828,x7829,x7822))
% 92.29/92.12 [783]~E(x7831,x7832)+E(f798(x7831),f798(x7832))
% 92.29/92.12 [784]~E(x7841,x7842)+E(f545(x7841,x7843,x7844),f545(x7842,x7843,x7844))
% 92.29/92.12 [785]~E(x7851,x7852)+E(f545(x7853,x7851,x7854),f545(x7853,x7852,x7854))
% 92.29/92.12 [786]~E(x7861,x7862)+E(f545(x7863,x7864,x7861),f545(x7863,x7864,x7862))
% 92.29/92.12 [787]~E(x7871,x7872)+E(f741(x7871,x7873,x7874),f741(x7872,x7873,x7874))
% 92.29/92.12 [788]~E(x7881,x7882)+E(f741(x7883,x7881,x7884),f741(x7883,x7882,x7884))
% 92.29/92.12 [789]~E(x7891,x7892)+E(f741(x7893,x7894,x7891),f741(x7893,x7894,x7892))
% 92.29/92.12 [790]~E(x7901,x7902)+E(f427(x7901,x7903,x7904,x7905,x7906,x7907,x7908),f427(x7902,x7903,x7904,x7905,x7906,x7907,x7908))
% 92.29/92.12 [791]~E(x7911,x7912)+E(f427(x7913,x7911,x7914,x7915,x7916,x7917,x7918),f427(x7913,x7912,x7914,x7915,x7916,x7917,x7918))
% 92.29/92.12 [792]~E(x7921,x7922)+E(f427(x7923,x7924,x7921,x7925,x7926,x7927,x7928),f427(x7923,x7924,x7922,x7925,x7926,x7927,x7928))
% 92.29/92.12 [793]~E(x7931,x7932)+E(f427(x7933,x7934,x7935,x7931,x7936,x7937,x7938),f427(x7933,x7934,x7935,x7932,x7936,x7937,x7938))
% 92.29/92.12 [794]~E(x7941,x7942)+E(f427(x7943,x7944,x7945,x7946,x7941,x7947,x7948),f427(x7943,x7944,x7945,x7946,x7942,x7947,x7948))
% 92.29/92.12 [795]~E(x7951,x7952)+E(f427(x7953,x7954,x7955,x7956,x7957,x7951,x7958),f427(x7953,x7954,x7955,x7956,x7957,x7952,x7958))
% 92.29/92.12 [796]~E(x7961,x7962)+E(f427(x7963,x7964,x7965,x7966,x7967,x7968,x7961),f427(x7963,x7964,x7965,x7966,x7967,x7968,x7962))
% 92.29/92.12 [797]~E(x7971,x7972)+E(f796(x7971),f796(x7972))
% 92.29/92.12 [798]~E(x7981,x7982)+E(f497(x7981,x7983,x7984,x7985),f497(x7982,x7983,x7984,x7985))
% 92.29/92.12 [799]~E(x7991,x7992)+E(f497(x7993,x7991,x7994,x7995),f497(x7993,x7992,x7994,x7995))
% 92.29/92.12 [800]~E(x8001,x8002)+E(f497(x8003,x8004,x8001,x8005),f497(x8003,x8004,x8002,x8005))
% 92.29/92.12 [801]~E(x8011,x8012)+E(f497(x8013,x8014,x8015,x8011),f497(x8013,x8014,x8015,x8012))
% 92.29/92.12 [802]~E(x8021,x8022)+E(f287(x8021,x8023,x8024,x8025,x8026),f287(x8022,x8023,x8024,x8025,x8026))
% 92.29/92.12 [803]~E(x8031,x8032)+E(f287(x8033,x8031,x8034,x8035,x8036),f287(x8033,x8032,x8034,x8035,x8036))
% 92.29/92.12 [804]~E(x8041,x8042)+E(f287(x8043,x8044,x8041,x8045,x8046),f287(x8043,x8044,x8042,x8045,x8046))
% 92.29/92.12 [805]~E(x8051,x8052)+E(f287(x8053,x8054,x8055,x8051,x8056),f287(x8053,x8054,x8055,x8052,x8056))
% 92.29/92.12 [806]~E(x8061,x8062)+E(f287(x8063,x8064,x8065,x8066,x8061),f287(x8063,x8064,x8065,x8066,x8062))
% 92.29/92.12 [807]~E(x8071,x8072)+E(f175(x8071,x8073,x8074,x8075),f175(x8072,x8073,x8074,x8075))
% 92.29/92.12 [808]~E(x8081,x8082)+E(f175(x8083,x8081,x8084,x8085),f175(x8083,x8082,x8084,x8085))
% 92.29/92.12 [809]~E(x8091,x8092)+E(f175(x8093,x8094,x8091,x8095),f175(x8093,x8094,x8092,x8095))
% 92.29/92.12 [810]~E(x8101,x8102)+E(f175(x8103,x8104,x8105,x8101),f175(x8103,x8104,x8105,x8102))
% 92.29/92.12 [811]~E(x8111,x8112)+E(f838(x8111,x8113,x8114,x8115,x8116,x8117,x8118),f838(x8112,x8113,x8114,x8115,x8116,x8117,x8118))
% 92.29/92.12 [812]~E(x8121,x8122)+E(f838(x8123,x8121,x8124,x8125,x8126,x8127,x8128),f838(x8123,x8122,x8124,x8125,x8126,x8127,x8128))
% 92.29/92.12 [813]~E(x8131,x8132)+E(f838(x8133,x8134,x8131,x8135,x8136,x8137,x8138),f838(x8133,x8134,x8132,x8135,x8136,x8137,x8138))
% 92.29/92.12 [814]~E(x8141,x8142)+E(f838(x8143,x8144,x8145,x8141,x8146,x8147,x8148),f838(x8143,x8144,x8145,x8142,x8146,x8147,x8148))
% 92.29/92.12 [815]~E(x8151,x8152)+E(f838(x8153,x8154,x8155,x8156,x8151,x8157,x8158),f838(x8153,x8154,x8155,x8156,x8152,x8157,x8158))
% 92.29/92.12 [816]~E(x8161,x8162)+E(f838(x8163,x8164,x8165,x8166,x8167,x8161,x8168),f838(x8163,x8164,x8165,x8166,x8167,x8162,x8168))
% 92.29/92.12 [817]~E(x8171,x8172)+E(f838(x8173,x8174,x8175,x8176,x8177,x8178,x8171),f838(x8173,x8174,x8175,x8176,x8177,x8178,x8172))
% 92.29/92.12 [818]~E(x8181,x8182)+E(f368(x8181,x8183),f368(x8182,x8183))
% 92.29/92.12 [819]~E(x8191,x8192)+E(f368(x8193,x8191),f368(x8193,x8192))
% 92.29/92.12 [820]~E(x8201,x8202)+E(f567(x8201,x8203,x8204),f567(x8202,x8203,x8204))
% 92.29/92.12 [821]~E(x8211,x8212)+E(f567(x8213,x8211,x8214),f567(x8213,x8212,x8214))
% 92.29/92.12 [822]~E(x8221,x8222)+E(f567(x8223,x8224,x8221),f567(x8223,x8224,x8222))
% 92.29/92.12 [823]~E(x8231,x8232)+E(f488(x8231,x8233,x8234),f488(x8232,x8233,x8234))
% 92.29/92.12 [824]~E(x8241,x8242)+E(f488(x8243,x8241,x8244),f488(x8243,x8242,x8244))
% 92.29/92.12 [825]~E(x8251,x8252)+E(f488(x8253,x8254,x8251),f488(x8253,x8254,x8252))
% 92.29/92.12 [826]~E(x8261,x8262)+E(f856(x8261,x8263,x8264),f856(x8262,x8263,x8264))
% 92.29/92.12 [827]~E(x8271,x8272)+E(f856(x8273,x8271,x8274),f856(x8273,x8272,x8274))
% 92.29/92.12 [828]~E(x8281,x8282)+E(f856(x8283,x8284,x8281),f856(x8283,x8284,x8282))
% 92.29/92.12 [829]~E(x8291,x8292)+E(f442(x8291,x8293,x8294,x8295,x8296),f442(x8292,x8293,x8294,x8295,x8296))
% 92.29/92.12 [830]~E(x8301,x8302)+E(f442(x8303,x8301,x8304,x8305,x8306),f442(x8303,x8302,x8304,x8305,x8306))
% 92.29/92.12 [831]~E(x8311,x8312)+E(f442(x8313,x8314,x8311,x8315,x8316),f442(x8313,x8314,x8312,x8315,x8316))
% 92.29/92.12 [832]~E(x8321,x8322)+E(f442(x8323,x8324,x8325,x8321,x8326),f442(x8323,x8324,x8325,x8322,x8326))
% 92.29/92.12 [833]~E(x8331,x8332)+E(f442(x8333,x8334,x8335,x8336,x8331),f442(x8333,x8334,x8335,x8336,x8332))
% 92.29/92.12 [834]~E(x8341,x8342)+E(f42(x8341,x8343),f42(x8342,x8343))
% 92.29/92.12 [835]~E(x8351,x8352)+E(f42(x8353,x8351),f42(x8353,x8352))
% 92.29/92.12 [836]~E(x8361,x8362)+E(f750(x8361,x8363,x8364),f750(x8362,x8363,x8364))
% 92.29/92.12 [837]~E(x8371,x8372)+E(f750(x8373,x8371,x8374),f750(x8373,x8372,x8374))
% 92.29/92.12 [838]~E(x8381,x8382)+E(f750(x8383,x8384,x8381),f750(x8383,x8384,x8382))
% 92.29/92.12 [839]~E(x8391,x8392)+E(f46(x8391,x8393),f46(x8392,x8393))
% 92.29/92.12 [840]~E(x8401,x8402)+E(f46(x8403,x8401),f46(x8403,x8402))
% 92.29/92.12 [841]~E(x8411,x8412)+E(f725(x8411,x8413,x8414,x8415,x8416,x8417,x8418),f725(x8412,x8413,x8414,x8415,x8416,x8417,x8418))
% 92.29/92.12 [842]~E(x8421,x8422)+E(f725(x8423,x8421,x8424,x8425,x8426,x8427,x8428),f725(x8423,x8422,x8424,x8425,x8426,x8427,x8428))
% 92.29/92.12 [843]~E(x8431,x8432)+E(f725(x8433,x8434,x8431,x8435,x8436,x8437,x8438),f725(x8433,x8434,x8432,x8435,x8436,x8437,x8438))
% 92.29/92.12 [844]~E(x8441,x8442)+E(f725(x8443,x8444,x8445,x8441,x8446,x8447,x8448),f725(x8443,x8444,x8445,x8442,x8446,x8447,x8448))
% 92.29/92.12 [845]~E(x8451,x8452)+E(f725(x8453,x8454,x8455,x8456,x8451,x8457,x8458),f725(x8453,x8454,x8455,x8456,x8452,x8457,x8458))
% 92.29/92.12 [846]~E(x8461,x8462)+E(f725(x8463,x8464,x8465,x8466,x8467,x8461,x8468),f725(x8463,x8464,x8465,x8466,x8467,x8462,x8468))
% 92.29/92.12 [847]~E(x8471,x8472)+E(f725(x8473,x8474,x8475,x8476,x8477,x8478,x8471),f725(x8473,x8474,x8475,x8476,x8477,x8478,x8472))
% 92.29/92.12 [848]~E(x8481,x8482)+E(f707(x8481,x8483),f707(x8482,x8483))
% 92.29/92.12 [849]~E(x8491,x8492)+E(f707(x8493,x8491),f707(x8493,x8492))
% 92.29/92.12 [850]~E(x8501,x8502)+E(f377(x8501,x8503,x8504),f377(x8502,x8503,x8504))
% 92.29/92.12 [851]~E(x8511,x8512)+E(f377(x8513,x8511,x8514),f377(x8513,x8512,x8514))
% 92.29/92.12 [852]~E(x8521,x8522)+E(f377(x8523,x8524,x8521),f377(x8523,x8524,x8522))
% 92.29/92.12 [853]~E(x8531,x8532)+E(f290(x8531,x8533,x8534,x8535,x8536),f290(x8532,x8533,x8534,x8535,x8536))
% 92.29/92.12 [854]~E(x8541,x8542)+E(f290(x8543,x8541,x8544,x8545,x8546),f290(x8543,x8542,x8544,x8545,x8546))
% 92.29/92.12 [855]~E(x8551,x8552)+E(f290(x8553,x8554,x8551,x8555,x8556),f290(x8553,x8554,x8552,x8555,x8556))
% 92.29/92.12 [856]~E(x8561,x8562)+E(f290(x8563,x8564,x8565,x8561,x8566),f290(x8563,x8564,x8565,x8562,x8566))
% 92.29/92.12 [857]~E(x8571,x8572)+E(f290(x8573,x8574,x8575,x8576,x8571),f290(x8573,x8574,x8575,x8576,x8572))
% 92.29/92.12 [858]~E(x8581,x8582)+E(f259(x8581,x8583),f259(x8582,x8583))
% 92.29/92.12 [859]~E(x8591,x8592)+E(f259(x8593,x8591),f259(x8593,x8592))
% 92.29/92.12 [860]~E(x8601,x8602)+E(f13(x8601,x8603),f13(x8602,x8603))
% 92.29/92.12 [861]~E(x8611,x8612)+E(f13(x8613,x8611),f13(x8613,x8612))
% 92.29/92.12 [862]~E(x8621,x8622)+E(f501(x8621,x8623,x8624),f501(x8622,x8623,x8624))
% 92.29/92.12 [863]~E(x8631,x8632)+E(f501(x8633,x8631,x8634),f501(x8633,x8632,x8634))
% 92.29/92.12 [864]~E(x8641,x8642)+E(f501(x8643,x8644,x8641),f501(x8643,x8644,x8642))
% 92.29/92.12 [865]~E(x8651,x8652)+E(f425(x8651,x8653,x8654,x8655,x8656,x8657),f425(x8652,x8653,x8654,x8655,x8656,x8657))
% 92.29/92.12 [866]~E(x8661,x8662)+E(f425(x8663,x8661,x8664,x8665,x8666,x8667),f425(x8663,x8662,x8664,x8665,x8666,x8667))
% 92.29/92.12 [867]~E(x8671,x8672)+E(f425(x8673,x8674,x8671,x8675,x8676,x8677),f425(x8673,x8674,x8672,x8675,x8676,x8677))
% 92.29/92.12 [868]~E(x8681,x8682)+E(f425(x8683,x8684,x8685,x8681,x8686,x8687),f425(x8683,x8684,x8685,x8682,x8686,x8687))
% 92.29/92.12 [869]~E(x8691,x8692)+E(f425(x8693,x8694,x8695,x8696,x8691,x8697),f425(x8693,x8694,x8695,x8696,x8692,x8697))
% 92.29/92.12 [870]~E(x8701,x8702)+E(f425(x8703,x8704,x8705,x8706,x8707,x8701),f425(x8703,x8704,x8705,x8706,x8707,x8702))
% 92.29/92.12 [871]~E(x8711,x8712)+E(f689(x8711,x8713,x8714),f689(x8712,x8713,x8714))
% 92.29/92.12 [872]~E(x8721,x8722)+E(f689(x8723,x8721,x8724),f689(x8723,x8722,x8724))
% 92.29/92.12 [873]~E(x8731,x8732)+E(f689(x8733,x8734,x8731),f689(x8733,x8734,x8732))
% 92.29/92.12 [874]~E(x8741,x8742)+E(f305(x8741,x8743),f305(x8742,x8743))
% 92.29/92.12 [875]~E(x8751,x8752)+E(f305(x8753,x8751),f305(x8753,x8752))
% 92.29/92.12 [876]~E(x8761,x8762)+E(f687(x8761,x8763),f687(x8762,x8763))
% 92.29/92.12 [877]~E(x8771,x8772)+E(f687(x8773,x8771),f687(x8773,x8772))
% 92.29/92.12 [878]~E(x8781,x8782)+E(f303(x8781,x8783,x8784,x8785),f303(x8782,x8783,x8784,x8785))
% 92.29/92.12 [879]~E(x8791,x8792)+E(f303(x8793,x8791,x8794,x8795),f303(x8793,x8792,x8794,x8795))
% 92.29/92.12 [880]~E(x8801,x8802)+E(f303(x8803,x8804,x8801,x8805),f303(x8803,x8804,x8802,x8805))
% 92.29/92.12 [881]~E(x8811,x8812)+E(f303(x8813,x8814,x8815,x8811),f303(x8813,x8814,x8815,x8812))
% 92.29/92.12 [882]~E(x8821,x8822)+E(f611(x8821,x8823,x8824,x8825),f611(x8822,x8823,x8824,x8825))
% 92.29/92.12 [883]~E(x8831,x8832)+E(f611(x8833,x8831,x8834,x8835),f611(x8833,x8832,x8834,x8835))
% 92.29/92.12 [884]~E(x8841,x8842)+E(f611(x8843,x8844,x8841,x8845),f611(x8843,x8844,x8842,x8845))
% 92.29/92.12 [885]~E(x8851,x8852)+E(f611(x8853,x8854,x8855,x8851),f611(x8853,x8854,x8855,x8852))
% 92.29/92.12 [886]~E(x8861,x8862)+E(f10(x8861,x8863),f10(x8862,x8863))
% 92.29/92.12 [887]~E(x8871,x8872)+E(f10(x8873,x8871),f10(x8873,x8872))
% 92.29/92.12 [888]~E(x8881,x8882)+E(f204(x8881,x8883),f204(x8882,x8883))
% 92.29/92.12 [889]~E(x8891,x8892)+E(f204(x8893,x8891),f204(x8893,x8892))
% 92.29/92.12 [890]~E(x8901,x8902)+E(f726(x8901,x8903,x8904,x8905,x8906,x8907,x8908),f726(x8902,x8903,x8904,x8905,x8906,x8907,x8908))
% 92.29/92.12 [891]~E(x8911,x8912)+E(f726(x8913,x8911,x8914,x8915,x8916,x8917,x8918),f726(x8913,x8912,x8914,x8915,x8916,x8917,x8918))
% 92.29/92.12 [892]~E(x8921,x8922)+E(f726(x8923,x8924,x8921,x8925,x8926,x8927,x8928),f726(x8923,x8924,x8922,x8925,x8926,x8927,x8928))
% 92.29/92.12 [893]~E(x8931,x8932)+E(f726(x8933,x8934,x8935,x8931,x8936,x8937,x8938),f726(x8933,x8934,x8935,x8932,x8936,x8937,x8938))
% 92.29/92.12 [894]~E(x8941,x8942)+E(f726(x8943,x8944,x8945,x8946,x8941,x8947,x8948),f726(x8943,x8944,x8945,x8946,x8942,x8947,x8948))
% 92.29/92.12 [895]~E(x8951,x8952)+E(f726(x8953,x8954,x8955,x8956,x8957,x8951,x8958),f726(x8953,x8954,x8955,x8956,x8957,x8952,x8958))
% 92.29/92.12 [896]~E(x8961,x8962)+E(f726(x8963,x8964,x8965,x8966,x8967,x8968,x8961),f726(x8963,x8964,x8965,x8966,x8967,x8968,x8962))
% 92.29/92.12 [897]~E(x8971,x8972)+E(f659(x8971,x8973,x8974,x8975,x8976),f659(x8972,x8973,x8974,x8975,x8976))
% 92.29/92.12 [898]~E(x8981,x8982)+E(f659(x8983,x8981,x8984,x8985,x8986),f659(x8983,x8982,x8984,x8985,x8986))
% 92.29/92.12 [899]~E(x8991,x8992)+E(f659(x8993,x8994,x8991,x8995,x8996),f659(x8993,x8994,x8992,x8995,x8996))
% 92.29/92.12 [900]~E(x9001,x9002)+E(f659(x9003,x9004,x9005,x9001,x9006),f659(x9003,x9004,x9005,x9002,x9006))
% 92.29/92.12 [901]~E(x9011,x9012)+E(f659(x9013,x9014,x9015,x9016,x9011),f659(x9013,x9014,x9015,x9016,x9012))
% 92.29/92.12 [902]~E(x9021,x9022)+E(f339(x9021,x9023,x9024,x9025),f339(x9022,x9023,x9024,x9025))
% 92.29/92.12 [903]~E(x9031,x9032)+E(f339(x9033,x9031,x9034,x9035),f339(x9033,x9032,x9034,x9035))
% 92.29/92.12 [904]~E(x9041,x9042)+E(f339(x9043,x9044,x9041,x9045),f339(x9043,x9044,x9042,x9045))
% 92.29/92.12 [905]~E(x9051,x9052)+E(f339(x9053,x9054,x9055,x9051),f339(x9053,x9054,x9055,x9052))
% 92.29/92.12 [906]~E(x9061,x9062)+E(f851(x9061,x9063),f851(x9062,x9063))
% 92.29/92.12 [907]~E(x9071,x9072)+E(f851(x9073,x9071),f851(x9073,x9072))
% 92.29/92.12 [908]~E(x9081,x9082)+E(f220(x9081,x9083,x9084),f220(x9082,x9083,x9084))
% 92.29/92.12 [909]~E(x9091,x9092)+E(f220(x9093,x9091,x9094),f220(x9093,x9092,x9094))
% 92.29/92.12 [910]~E(x9101,x9102)+E(f220(x9103,x9104,x9101),f220(x9103,x9104,x9102))
% 92.29/92.12 [911]~E(x9111,x9112)+E(f580(x9111,x9113),f580(x9112,x9113))
% 92.29/92.12 [912]~E(x9121,x9122)+E(f580(x9123,x9121),f580(x9123,x9122))
% 92.29/92.12 [913]~E(x9131,x9132)+E(f373(x9131,x9133),f373(x9132,x9133))
% 92.29/92.12 [914]~E(x9141,x9142)+E(f373(x9143,x9141),f373(x9143,x9142))
% 92.29/92.12 [915]~E(x9151,x9152)+E(f382(x9151,x9153,x9154,x9155),f382(x9152,x9153,x9154,x9155))
% 92.29/92.12 [916]~E(x9161,x9162)+E(f382(x9163,x9161,x9164,x9165),f382(x9163,x9162,x9164,x9165))
% 92.29/92.12 [917]~E(x9171,x9172)+E(f382(x9173,x9174,x9171,x9175),f382(x9173,x9174,x9172,x9175))
% 92.29/92.12 [918]~E(x9181,x9182)+E(f382(x9183,x9184,x9185,x9181),f382(x9183,x9184,x9185,x9182))
% 92.29/92.12 [919]~E(x9191,x9192)+E(f458(x9191,x9193,x9194),f458(x9192,x9193,x9194))
% 92.29/92.12 [920]~E(x9201,x9202)+E(f458(x9203,x9201,x9204),f458(x9203,x9202,x9204))
% 92.29/92.12 [921]~E(x9211,x9212)+E(f458(x9213,x9214,x9211),f458(x9213,x9214,x9212))
% 92.29/92.12 [922]~E(x9221,x9222)+E(f652(x9221,x9223,x9224),f652(x9222,x9223,x9224))
% 92.29/92.12 [923]~E(x9231,x9232)+E(f652(x9233,x9231,x9234),f652(x9233,x9232,x9234))
% 92.29/92.12 [924]~E(x9241,x9242)+E(f652(x9243,x9244,x9241),f652(x9243,x9244,x9242))
% 92.29/92.12 [925]~E(x9251,x9252)+E(f116(x9251,x9253,x9254),f116(x9252,x9253,x9254))
% 92.29/92.12 [926]~E(x9261,x9262)+E(f116(x9263,x9261,x9264),f116(x9263,x9262,x9264))
% 92.29/92.12 [927]~E(x9271,x9272)+E(f116(x9273,x9274,x9271),f116(x9273,x9274,x9272))
% 92.29/92.12 [928]~E(x9281,x9282)+E(f612(x9281,x9283,x9284,x9285),f612(x9282,x9283,x9284,x9285))
% 92.29/92.12 [929]~E(x9291,x9292)+E(f612(x9293,x9291,x9294,x9295),f612(x9293,x9292,x9294,x9295))
% 92.29/92.12 [930]~E(x9301,x9302)+E(f612(x9303,x9304,x9301,x9305),f612(x9303,x9304,x9302,x9305))
% 92.29/92.12 [931]~E(x9311,x9312)+E(f612(x9313,x9314,x9315,x9311),f612(x9313,x9314,x9315,x9312))
% 92.29/92.12 [932]~E(x9321,x9322)+E(f196(x9321,x9323,x9324,x9325),f196(x9322,x9323,x9324,x9325))
% 92.29/92.12 [933]~E(x9331,x9332)+E(f196(x9333,x9331,x9334,x9335),f196(x9333,x9332,x9334,x9335))
% 92.29/92.12 [934]~E(x9341,x9342)+E(f196(x9343,x9344,x9341,x9345),f196(x9343,x9344,x9342,x9345))
% 92.29/92.12 [935]~E(x9351,x9352)+E(f196(x9353,x9354,x9355,x9351),f196(x9353,x9354,x9355,x9352))
% 92.29/92.12 [936]~E(x9361,x9362)+E(f419(x9361,x9363,x9364,x9365,x9366),f419(x9362,x9363,x9364,x9365,x9366))
% 92.29/92.12 [937]~E(x9371,x9372)+E(f419(x9373,x9371,x9374,x9375,x9376),f419(x9373,x9372,x9374,x9375,x9376))
% 92.29/92.12 [938]~E(x9381,x9382)+E(f419(x9383,x9384,x9381,x9385,x9386),f419(x9383,x9384,x9382,x9385,x9386))
% 92.29/92.12 [939]~E(x9391,x9392)+E(f419(x9393,x9394,x9395,x9391,x9396),f419(x9393,x9394,x9395,x9392,x9396))
% 92.29/92.12 [940]~E(x9401,x9402)+E(f419(x9403,x9404,x9405,x9406,x9401),f419(x9403,x9404,x9405,x9406,x9402))
% 92.29/92.12 [941]~E(x9411,x9412)+E(f170(x9411),f170(x9412))
% 92.29/92.12 [942]~E(x9421,x9422)+E(f863(x9421,x9423,x9424),f863(x9422,x9423,x9424))
% 92.29/92.12 [943]~E(x9431,x9432)+E(f863(x9433,x9431,x9434),f863(x9433,x9432,x9434))
% 92.29/92.12 [944]~E(x9441,x9442)+E(f863(x9443,x9444,x9441),f863(x9443,x9444,x9442))
% 92.29/92.12 [945]~E(x9451,x9452)+E(f39(x9451),f39(x9452))
% 92.29/92.12 [946]~E(x9461,x9462)+E(f527(x9461,x9463,x9464,x9465,x9466,x9467),f527(x9462,x9463,x9464,x9465,x9466,x9467))
% 92.29/92.12 [947]~E(x9471,x9472)+E(f527(x9473,x9471,x9474,x9475,x9476,x9477),f527(x9473,x9472,x9474,x9475,x9476,x9477))
% 92.29/92.12 [948]~E(x9481,x9482)+E(f527(x9483,x9484,x9481,x9485,x9486,x9487),f527(x9483,x9484,x9482,x9485,x9486,x9487))
% 92.29/92.12 [949]~E(x9491,x9492)+E(f527(x9493,x9494,x9495,x9491,x9496,x9497),f527(x9493,x9494,x9495,x9492,x9496,x9497))
% 92.29/92.12 [950]~E(x9501,x9502)+E(f527(x9503,x9504,x9505,x9506,x9501,x9507),f527(x9503,x9504,x9505,x9506,x9502,x9507))
% 92.29/92.12 [951]~E(x9511,x9512)+E(f527(x9513,x9514,x9515,x9516,x9517,x9511),f527(x9513,x9514,x9515,x9516,x9517,x9512))
% 92.29/92.12 [952]~E(x9521,x9522)+E(f601(x9521,x9523),f601(x9522,x9523))
% 92.29/92.12 [953]~E(x9531,x9532)+E(f601(x9533,x9531),f601(x9533,x9532))
% 92.29/92.12 [954]~E(x9541,x9542)+E(f506(x9541,x9543,x9544,x9545,x9546),f506(x9542,x9543,x9544,x9545,x9546))
% 92.29/92.12 [955]~E(x9551,x9552)+E(f506(x9553,x9551,x9554,x9555,x9556),f506(x9553,x9552,x9554,x9555,x9556))
% 92.29/92.12 [956]~E(x9561,x9562)+E(f506(x9563,x9564,x9561,x9565,x9566),f506(x9563,x9564,x9562,x9565,x9566))
% 92.29/92.12 [957]~E(x9571,x9572)+E(f506(x9573,x9574,x9575,x9571,x9576),f506(x9573,x9574,x9575,x9572,x9576))
% 92.29/92.12 [958]~E(x9581,x9582)+E(f506(x9583,x9584,x9585,x9586,x9581),f506(x9583,x9584,x9585,x9586,x9582))
% 92.29/92.12 [959]~E(x9591,x9592)+E(f182(x9591,x9593),f182(x9592,x9593))
% 92.29/92.12 [960]~E(x9601,x9602)+E(f182(x9603,x9601),f182(x9603,x9602))
% 92.29/92.12 [961]~E(x9611,x9612)+E(f816(x9611,x9613,x9614,x9615,x9616,x9617,x9618),f816(x9612,x9613,x9614,x9615,x9616,x9617,x9618))
% 92.29/92.12 [962]~E(x9621,x9622)+E(f816(x9623,x9621,x9624,x9625,x9626,x9627,x9628),f816(x9623,x9622,x9624,x9625,x9626,x9627,x9628))
% 92.29/92.12 [963]~E(x9631,x9632)+E(f816(x9633,x9634,x9631,x9635,x9636,x9637,x9638),f816(x9633,x9634,x9632,x9635,x9636,x9637,x9638))
% 92.29/92.12 [964]~E(x9641,x9642)+E(f816(x9643,x9644,x9645,x9641,x9646,x9647,x9648),f816(x9643,x9644,x9645,x9642,x9646,x9647,x9648))
% 92.29/92.12 [965]~E(x9651,x9652)+E(f816(x9653,x9654,x9655,x9656,x9651,x9657,x9658),f816(x9653,x9654,x9655,x9656,x9652,x9657,x9658))
% 92.29/92.12 [966]~E(x9661,x9662)+E(f816(x9663,x9664,x9665,x9666,x9667,x9661,x9668),f816(x9663,x9664,x9665,x9666,x9667,x9662,x9668))
% 92.29/92.12 [967]~E(x9671,x9672)+E(f816(x9673,x9674,x9675,x9676,x9677,x9678,x9671),f816(x9673,x9674,x9675,x9676,x9677,x9678,x9672))
% 92.29/92.12 [968]~E(x9681,x9682)+E(f111(x9681,x9683),f111(x9682,x9683))
% 92.29/92.12 [969]~E(x9691,x9692)+E(f111(x9693,x9691),f111(x9693,x9692))
% 92.29/92.12 [970]~E(x9701,x9702)+E(f555(x9701,x9703,x9704,x9705),f555(x9702,x9703,x9704,x9705))
% 92.29/92.12 [971]~E(x9711,x9712)+E(f555(x9713,x9711,x9714,x9715),f555(x9713,x9712,x9714,x9715))
% 92.29/92.12 [972]~E(x9721,x9722)+E(f555(x9723,x9724,x9721,x9725),f555(x9723,x9724,x9722,x9725))
% 92.29/92.12 [973]~E(x9731,x9732)+E(f555(x9733,x9734,x9735,x9731),f555(x9733,x9734,x9735,x9732))
% 92.29/92.12 [974]~E(x9741,x9742)+E(f509(x9741,x9743,x9744,x9745,x9746,x9747,x9748,x9749),f509(x9742,x9743,x9744,x9745,x9746,x9747,x9748,x9749))
% 92.29/92.12 [975]~E(x9751,x9752)+E(f509(x9753,x9751,x9754,x9755,x9756,x9757,x9758,x9759),f509(x9753,x9752,x9754,x9755,x9756,x9757,x9758,x9759))
% 92.29/92.12 [976]~E(x9761,x9762)+E(f509(x9763,x9764,x9761,x9765,x9766,x9767,x9768,x9769),f509(x9763,x9764,x9762,x9765,x9766,x9767,x9768,x9769))
% 92.29/92.12 [977]~E(x9771,x9772)+E(f509(x9773,x9774,x9775,x9771,x9776,x9777,x9778,x9779),f509(x9773,x9774,x9775,x9772,x9776,x9777,x9778,x9779))
% 92.29/92.12 [978]~E(x9781,x9782)+E(f509(x9783,x9784,x9785,x9786,x9781,x9787,x9788,x9789),f509(x9783,x9784,x9785,x9786,x9782,x9787,x9788,x9789))
% 92.29/92.12 [979]~E(x9791,x9792)+E(f509(x9793,x9794,x9795,x9796,x9797,x9791,x9798,x9799),f509(x9793,x9794,x9795,x9796,x9797,x9792,x9798,x9799))
% 92.29/92.12 [980]~E(x9801,x9802)+E(f509(x9803,x9804,x9805,x9806,x9807,x9808,x9801,x9809),f509(x9803,x9804,x9805,x9806,x9807,x9808,x9802,x9809))
% 92.29/92.12 [981]~E(x9811,x9812)+E(f509(x9813,x9814,x9815,x9816,x9817,x9818,x9819,x9811),f509(x9813,x9814,x9815,x9816,x9817,x9818,x9819,x9812))
% 92.29/92.12 [982]~E(x9821,x9822)+E(f55(x9821,x9823,x9824,x9825),f55(x9822,x9823,x9824,x9825))
% 92.29/92.12 [983]~E(x9831,x9832)+E(f55(x9833,x9831,x9834,x9835),f55(x9833,x9832,x9834,x9835))
% 92.29/92.12 [984]~E(x9841,x9842)+E(f55(x9843,x9844,x9841,x9845),f55(x9843,x9844,x9842,x9845))
% 92.29/92.12 [985]~E(x9851,x9852)+E(f55(x9853,x9854,x9855,x9851),f55(x9853,x9854,x9855,x9852))
% 92.29/92.12 [986]~E(x9861,x9862)+E(f584(x9861,x9863,x9864),f584(x9862,x9863,x9864))
% 92.29/92.12 [987]~E(x9871,x9872)+E(f584(x9873,x9871,x9874),f584(x9873,x9872,x9874))
% 92.29/92.12 [988]~E(x9881,x9882)+E(f584(x9883,x9884,x9881),f584(x9883,x9884,x9882))
% 92.29/92.12 [989]~E(x9891,x9892)+E(f563(x9891,x9893,x9894),f563(x9892,x9893,x9894))
% 92.29/92.12 [990]~E(x9901,x9902)+E(f563(x9903,x9901,x9904),f563(x9903,x9902,x9904))
% 92.29/92.12 [991]~E(x9911,x9912)+E(f563(x9913,x9914,x9911),f563(x9913,x9914,x9912))
% 92.29/92.12 [992]~E(x9921,x9922)+E(f349(x9921,x9923,x9924),f349(x9922,x9923,x9924))
% 92.29/92.12 [993]~E(x9931,x9932)+E(f349(x9933,x9931,x9934),f349(x9933,x9932,x9934))
% 92.29/92.12 [994]~E(x9941,x9942)+E(f349(x9943,x9944,x9941),f349(x9943,x9944,x9942))
% 92.29/92.12 [995]~E(x9951,x9952)+E(f680(x9951,x9953,x9954,x9955,x9956),f680(x9952,x9953,x9954,x9955,x9956))
% 92.29/92.12 [996]~E(x9961,x9962)+E(f680(x9963,x9961,x9964,x9965,x9966),f680(x9963,x9962,x9964,x9965,x9966))
% 92.29/92.12 [997]~E(x9971,x9972)+E(f680(x9973,x9974,x9971,x9975,x9976),f680(x9973,x9974,x9972,x9975,x9976))
% 92.29/92.12 [998]~E(x9981,x9982)+E(f680(x9983,x9984,x9985,x9981,x9986),f680(x9983,x9984,x9985,x9982,x9986))
% 92.29/92.12 [999]~E(x9991,x9992)+E(f680(x9993,x9994,x9995,x9996,x9991),f680(x9993,x9994,x9995,x9996,x9992))
% 92.29/92.12 [1000]~E(x10001,x10002)+E(f185(x10001,x10003,x10004,x10005),f185(x10002,x10003,x10004,x10005))
% 92.29/92.12 [1001]~E(x10011,x10012)+E(f185(x10013,x10011,x10014,x10015),f185(x10013,x10012,x10014,x10015))
% 92.29/92.12 [1002]~E(x10021,x10022)+E(f185(x10023,x10024,x10021,x10025),f185(x10023,x10024,x10022,x10025))
% 92.29/92.12 [1003]~E(x10031,x10032)+E(f185(x10033,x10034,x10035,x10031),f185(x10033,x10034,x10035,x10032))
% 92.29/92.12 [1004]~E(x10041,x10042)+E(f546(x10041,x10043,x10044,x10045),f546(x10042,x10043,x10044,x10045))
% 92.29/92.12 [1005]~E(x10051,x10052)+E(f546(x10053,x10051,x10054,x10055),f546(x10053,x10052,x10054,x10055))
% 92.29/92.12 [1006]~E(x10061,x10062)+E(f546(x10063,x10064,x10061,x10065),f546(x10063,x10064,x10062,x10065))
% 92.29/92.12 [1007]~E(x10071,x10072)+E(f546(x10073,x10074,x10075,x10071),f546(x10073,x10074,x10075,x10072))
% 92.29/92.12 [1008]~E(x10081,x10082)+E(f734(x10081,x10083,x10084),f734(x10082,x10083,x10084))
% 92.29/92.12 [1009]~E(x10091,x10092)+E(f734(x10093,x10091,x10094),f734(x10093,x10092,x10094))
% 92.29/92.12 [1010]~E(x10101,x10102)+E(f734(x10103,x10104,x10101),f734(x10103,x10104,x10102))
% 92.29/92.12 [1011]~E(x10111,x10112)+E(f665(x10111,x10113,x10114,x10115),f665(x10112,x10113,x10114,x10115))
% 92.29/92.12 [1012]~E(x10121,x10122)+E(f665(x10123,x10121,x10124,x10125),f665(x10123,x10122,x10124,x10125))
% 92.29/92.12 [1013]~E(x10131,x10132)+E(f665(x10133,x10134,x10131,x10135),f665(x10133,x10134,x10132,x10135))
% 92.29/92.12 [1014]~E(x10141,x10142)+E(f665(x10143,x10144,x10145,x10141),f665(x10143,x10144,x10145,x10142))
% 92.29/92.12 [1015]~E(x10151,x10152)+E(f260(x10151,x10153),f260(x10152,x10153))
% 92.29/92.12 [1016]~E(x10161,x10162)+E(f260(x10163,x10161),f260(x10163,x10162))
% 92.29/92.12 [1017]~E(x10171,x10172)+E(f192(x10171,x10173),f192(x10172,x10173))
% 92.29/92.12 [1018]~E(x10181,x10182)+E(f192(x10183,x10181),f192(x10183,x10182))
% 92.29/92.12 [1019]~E(x10191,x10192)+E(f610(x10191,x10193,x10194,x10195),f610(x10192,x10193,x10194,x10195))
% 92.29/92.12 [1020]~E(x10201,x10202)+E(f610(x10203,x10201,x10204,x10205),f610(x10203,x10202,x10204,x10205))
% 92.29/92.12 [1021]~E(x10211,x10212)+E(f610(x10213,x10214,x10211,x10215),f610(x10213,x10214,x10212,x10215))
% 92.29/92.12 [1022]~E(x10221,x10222)+E(f610(x10223,x10224,x10225,x10221),f610(x10223,x10224,x10225,x10222))
% 92.29/92.12 [1023]~E(x10231,x10232)+E(f180(x10231,x10233,x10234,x10235),f180(x10232,x10233,x10234,x10235))
% 92.29/92.12 [1024]~E(x10241,x10242)+E(f180(x10243,x10241,x10244,x10245),f180(x10243,x10242,x10244,x10245))
% 92.29/92.12 [1025]~E(x10251,x10252)+E(f180(x10253,x10254,x10251,x10255),f180(x10253,x10254,x10252,x10255))
% 92.29/92.12 [1026]~E(x10261,x10262)+E(f180(x10263,x10264,x10265,x10261),f180(x10263,x10264,x10265,x10262))
% 92.29/92.12 [1027]~E(x10271,x10272)+E(f294(x10271),f294(x10272))
% 92.29/92.12 [1028]~E(x10281,x10282)+E(f475(x10281,x10283,x10284,x10285,x10286,x10287,x10288,x10289),f475(x10282,x10283,x10284,x10285,x10286,x10287,x10288,x10289))
% 92.29/92.12 [1029]~E(x10291,x10292)+E(f475(x10293,x10291,x10294,x10295,x10296,x10297,x10298,x10299),f475(x10293,x10292,x10294,x10295,x10296,x10297,x10298,x10299))
% 92.29/92.12 [1030]~E(x10301,x10302)+E(f475(x10303,x10304,x10301,x10305,x10306,x10307,x10308,x10309),f475(x10303,x10304,x10302,x10305,x10306,x10307,x10308,x10309))
% 92.29/92.12 [1031]~E(x10311,x10312)+E(f475(x10313,x10314,x10315,x10311,x10316,x10317,x10318,x10319),f475(x10313,x10314,x10315,x10312,x10316,x10317,x10318,x10319))
% 92.29/92.12 [1032]~E(x10321,x10322)+E(f475(x10323,x10324,x10325,x10326,x10321,x10327,x10328,x10329),f475(x10323,x10324,x10325,x10326,x10322,x10327,x10328,x10329))
% 92.29/92.12 [1033]~E(x10331,x10332)+E(f475(x10333,x10334,x10335,x10336,x10337,x10331,x10338,x10339),f475(x10333,x10334,x10335,x10336,x10337,x10332,x10338,x10339))
% 92.29/92.12 [1034]~E(x10341,x10342)+E(f475(x10343,x10344,x10345,x10346,x10347,x10348,x10341,x10349),f475(x10343,x10344,x10345,x10346,x10347,x10348,x10342,x10349))
% 92.29/92.12 [1035]~E(x10351,x10352)+E(f475(x10353,x10354,x10355,x10356,x10357,x10358,x10359,x10351),f475(x10353,x10354,x10355,x10356,x10357,x10358,x10359,x10352))
% 92.29/92.12 [1036]~E(x10361,x10362)+E(f554(x10361,x10363,x10364),f554(x10362,x10363,x10364))
% 92.29/92.12 [1037]~E(x10371,x10372)+E(f554(x10373,x10371,x10374),f554(x10373,x10372,x10374))
% 92.29/92.12 [1038]~E(x10381,x10382)+E(f554(x10383,x10384,x10381),f554(x10383,x10384,x10382))
% 92.29/92.12 [1039]~E(x10391,x10392)+E(f792(x10391,x10393,x10394,x10395,x10396,x10397),f792(x10392,x10393,x10394,x10395,x10396,x10397))
% 92.29/92.12 [1040]~E(x10401,x10402)+E(f792(x10403,x10401,x10404,x10405,x10406,x10407),f792(x10403,x10402,x10404,x10405,x10406,x10407))
% 92.29/92.12 [1041]~E(x10411,x10412)+E(f792(x10413,x10414,x10411,x10415,x10416,x10417),f792(x10413,x10414,x10412,x10415,x10416,x10417))
% 92.29/92.12 [1042]~E(x10421,x10422)+E(f792(x10423,x10424,x10425,x10421,x10426,x10427),f792(x10423,x10424,x10425,x10422,x10426,x10427))
% 92.29/92.12 [1043]~E(x10431,x10432)+E(f792(x10433,x10434,x10435,x10436,x10431,x10437),f792(x10433,x10434,x10435,x10436,x10432,x10437))
% 92.29/92.12 [1044]~E(x10441,x10442)+E(f792(x10443,x10444,x10445,x10446,x10447,x10441),f792(x10443,x10444,x10445,x10446,x10447,x10442))
% 92.29/92.12 [1045]~E(x10451,x10452)+E(f414(x10451,x10453,x10454),f414(x10452,x10453,x10454))
% 92.29/92.12 [1046]~E(x10461,x10462)+E(f414(x10463,x10461,x10464),f414(x10463,x10462,x10464))
% 92.29/92.12 [1047]~E(x10471,x10472)+E(f414(x10473,x10474,x10471),f414(x10473,x10474,x10472))
% 92.29/92.12 [1048]~E(x10481,x10482)+E(f358(x10481,x10483,x10484,x10485),f358(x10482,x10483,x10484,x10485))
% 92.29/92.12 [1049]~E(x10491,x10492)+E(f358(x10493,x10491,x10494,x10495),f358(x10493,x10492,x10494,x10495))
% 92.29/92.12 [1050]~E(x10501,x10502)+E(f358(x10503,x10504,x10501,x10505),f358(x10503,x10504,x10502,x10505))
% 92.29/92.12 [1051]~E(x10511,x10512)+E(f358(x10513,x10514,x10515,x10511),f358(x10513,x10514,x10515,x10512))
% 92.29/92.12 [1052]~E(x10521,x10522)+E(f755(x10521,x10523,x10524,x10525),f755(x10522,x10523,x10524,x10525))
% 92.29/92.12 [1053]~E(x10531,x10532)+E(f755(x10533,x10531,x10534,x10535),f755(x10533,x10532,x10534,x10535))
% 92.29/92.12 [1054]~E(x10541,x10542)+E(f755(x10543,x10544,x10541,x10545),f755(x10543,x10544,x10542,x10545))
% 92.29/92.12 [1055]~E(x10551,x10552)+E(f755(x10553,x10554,x10555,x10551),f755(x10553,x10554,x10555,x10552))
% 92.29/92.12 [1056]~E(x10561,x10562)+E(f494(x10561,x10563,x10564,x10565),f494(x10562,x10563,x10564,x10565))
% 92.29/92.12 [1057]~E(x10571,x10572)+E(f494(x10573,x10571,x10574,x10575),f494(x10573,x10572,x10574,x10575))
% 92.29/92.12 [1058]~E(x10581,x10582)+E(f494(x10583,x10584,x10581,x10585),f494(x10583,x10584,x10582,x10585))
% 92.29/92.12 [1059]~E(x10591,x10592)+E(f494(x10593,x10594,x10595,x10591),f494(x10593,x10594,x10595,x10592))
% 92.29/92.12 [1060]~E(x10601,x10602)+E(f564(x10601,x10603,x10604),f564(x10602,x10603,x10604))
% 92.29/92.12 [1061]~E(x10611,x10612)+E(f564(x10613,x10611,x10614),f564(x10613,x10612,x10614))
% 92.29/92.12 [1062]~E(x10621,x10622)+E(f564(x10623,x10624,x10621),f564(x10623,x10624,x10622))
% 92.29/92.12 [1063]~E(x10631,x10632)+E(f800(x10631,x10633,x10634),f800(x10632,x10633,x10634))
% 92.29/92.12 [1064]~E(x10641,x10642)+E(f800(x10643,x10641,x10644),f800(x10643,x10642,x10644))
% 92.29/92.12 [1065]~E(x10651,x10652)+E(f800(x10653,x10654,x10651),f800(x10653,x10654,x10652))
% 92.29/92.12 [1066]~E(x10661,x10662)+E(f108(x10661,x10663,x10664),f108(x10662,x10663,x10664))
% 92.29/92.12 [1067]~E(x10671,x10672)+E(f108(x10673,x10671,x10674),f108(x10673,x10672,x10674))
% 92.29/92.12 [1068]~E(x10681,x10682)+E(f108(x10683,x10684,x10681),f108(x10683,x10684,x10682))
% 92.29/92.12 [1069]~E(x10691,x10692)+E(f821(x10691,x10693),f821(x10692,x10693))
% 92.29/92.12 [1070]~E(x10701,x10702)+E(f821(x10703,x10701),f821(x10703,x10702))
% 92.29/92.12 [1071]~E(x10711,x10712)+E(f176(x10711),f176(x10712))
% 92.29/92.12 [1072]~E(x10721,x10722)+E(f693(x10721,x10723),f693(x10722,x10723))
% 92.29/92.12 [1073]~E(x10731,x10732)+E(f693(x10733,x10731),f693(x10733,x10732))
% 92.29/92.12 [1074]~E(x10741,x10742)+E(f569(x10741,x10743,x10744),f569(x10742,x10743,x10744))
% 92.29/92.12 [1075]~E(x10751,x10752)+E(f569(x10753,x10751,x10754),f569(x10753,x10752,x10754))
% 92.29/92.12 [1076]~E(x10761,x10762)+E(f569(x10763,x10764,x10761),f569(x10763,x10764,x10762))
% 92.29/92.12 [1077]~E(x10771,x10772)+E(f701(x10771,x10773,x10774,x10775),f701(x10772,x10773,x10774,x10775))
% 92.29/92.12 [1078]~E(x10781,x10782)+E(f701(x10783,x10781,x10784,x10785),f701(x10783,x10782,x10784,x10785))
% 92.29/92.12 [1079]~E(x10791,x10792)+E(f701(x10793,x10794,x10791,x10795),f701(x10793,x10794,x10792,x10795))
% 92.29/92.12 [1080]~E(x10801,x10802)+E(f701(x10803,x10804,x10805,x10801),f701(x10803,x10804,x10805,x10802))
% 92.29/92.12 [1081]~E(x10811,x10812)+E(f235(x10811,x10813,x10814),f235(x10812,x10813,x10814))
% 92.29/92.12 [1082]~E(x10821,x10822)+E(f235(x10823,x10821,x10824),f235(x10823,x10822,x10824))
% 92.29/92.12 [1083]~E(x10831,x10832)+E(f235(x10833,x10834,x10831),f235(x10833,x10834,x10832))
% 92.29/92.12 [1084]~E(x10841,x10842)+E(f628(x10841,x10843,x10844,x10845,x10846),f628(x10842,x10843,x10844,x10845,x10846))
% 92.29/92.12 [1085]~E(x10851,x10852)+E(f628(x10853,x10851,x10854,x10855,x10856),f628(x10853,x10852,x10854,x10855,x10856))
% 92.29/92.12 [1086]~E(x10861,x10862)+E(f628(x10863,x10864,x10861,x10865,x10866),f628(x10863,x10864,x10862,x10865,x10866))
% 92.29/92.12 [1087]~E(x10871,x10872)+E(f628(x10873,x10874,x10875,x10871,x10876),f628(x10873,x10874,x10875,x10872,x10876))
% 92.29/92.12 [1088]~E(x10881,x10882)+E(f628(x10883,x10884,x10885,x10886,x10881),f628(x10883,x10884,x10885,x10886,x10882))
% 92.29/92.12 [1089]~E(x10891,x10892)+E(f447(x10891,x10893,x10894,x10895,x10896,x10897),f447(x10892,x10893,x10894,x10895,x10896,x10897))
% 92.29/92.12 [1090]~E(x10901,x10902)+E(f447(x10903,x10901,x10904,x10905,x10906,x10907),f447(x10903,x10902,x10904,x10905,x10906,x10907))
% 92.29/92.12 [1091]~E(x10911,x10912)+E(f447(x10913,x10914,x10911,x10915,x10916,x10917),f447(x10913,x10914,x10912,x10915,x10916,x10917))
% 92.29/92.12 [1092]~E(x10921,x10922)+E(f447(x10923,x10924,x10925,x10921,x10926,x10927),f447(x10923,x10924,x10925,x10922,x10926,x10927))
% 92.29/92.12 [1093]~E(x10931,x10932)+E(f447(x10933,x10934,x10935,x10936,x10931,x10937),f447(x10933,x10934,x10935,x10936,x10932,x10937))
% 92.29/92.12 [1094]~E(x10941,x10942)+E(f447(x10943,x10944,x10945,x10946,x10947,x10941),f447(x10943,x10944,x10945,x10946,x10947,x10942))
% 92.29/92.12 [1095]~E(x10951,x10952)+E(f698(x10951,x10953),f698(x10952,x10953))
% 92.29/92.12 [1096]~E(x10961,x10962)+E(f698(x10963,x10961),f698(x10963,x10962))
% 92.29/92.12 [1097]~E(x10971,x10972)+E(f326(x10971,x10973,x10974,x10975),f326(x10972,x10973,x10974,x10975))
% 92.29/92.12 [1098]~E(x10981,x10982)+E(f326(x10983,x10981,x10984,x10985),f326(x10983,x10982,x10984,x10985))
% 92.29/92.12 [1099]~E(x10991,x10992)+E(f326(x10993,x10994,x10991,x10995),f326(x10993,x10994,x10992,x10995))
% 92.29/92.12 [1100]~E(x11001,x11002)+E(f326(x11003,x11004,x11005,x11001),f326(x11003,x11004,x11005,x11002))
% 92.29/92.12 [1101]~E(x11011,x11012)+E(f579(x11011,x11013,x11014,x11015),f579(x11012,x11013,x11014,x11015))
% 92.29/92.12 [1102]~E(x11021,x11022)+E(f579(x11023,x11021,x11024,x11025),f579(x11023,x11022,x11024,x11025))
% 92.29/92.12 [1103]~E(x11031,x11032)+E(f579(x11033,x11034,x11031,x11035),f579(x11033,x11034,x11032,x11035))
% 92.29/92.12 [1104]~E(x11041,x11042)+E(f579(x11043,x11044,x11045,x11041),f579(x11043,x11044,x11045,x11042))
% 92.29/92.12 [1105]~E(x11051,x11052)+E(f186(x11051,x11053,x11054,x11055),f186(x11052,x11053,x11054,x11055))
% 92.29/92.12 [1106]~E(x11061,x11062)+E(f186(x11063,x11061,x11064,x11065),f186(x11063,x11062,x11064,x11065))
% 92.29/92.12 [1107]~E(x11071,x11072)+E(f186(x11073,x11074,x11071,x11075),f186(x11073,x11074,x11072,x11075))
% 92.29/92.12 [1108]~E(x11081,x11082)+E(f186(x11083,x11084,x11085,x11081),f186(x11083,x11084,x11085,x11082))
% 92.29/92.12 [1109]~E(x11091,x11092)+E(f52(x11091),f52(x11092))
% 92.29/92.12 [1110]~E(x11101,x11102)+E(f624(x11101,x11103,x11104,x11105),f624(x11102,x11103,x11104,x11105))
% 92.29/92.12 [1111]~E(x11111,x11112)+E(f624(x11113,x11111,x11114,x11115),f624(x11113,x11112,x11114,x11115))
% 92.29/92.12 [1112]~E(x11121,x11122)+E(f624(x11123,x11124,x11121,x11125),f624(x11123,x11124,x11122,x11125))
% 92.29/92.12 [1113]~E(x11131,x11132)+E(f624(x11133,x11134,x11135,x11131),f624(x11133,x11134,x11135,x11132))
% 92.29/92.12 [1114]~E(x11141,x11142)+E(f638(x11141,x11143,x11144,x11145),f638(x11142,x11143,x11144,x11145))
% 92.29/92.12 [1115]~E(x11151,x11152)+E(f638(x11153,x11151,x11154,x11155),f638(x11153,x11152,x11154,x11155))
% 92.29/92.12 [1116]~E(x11161,x11162)+E(f638(x11163,x11164,x11161,x11165),f638(x11163,x11164,x11162,x11165))
% 92.29/92.12 [1117]~E(x11171,x11172)+E(f638(x11173,x11174,x11175,x11171),f638(x11173,x11174,x11175,x11172))
% 92.29/92.12 [1118]~E(x11181,x11182)+E(f678(x11181,x11183,x11184,x11185,x11186),f678(x11182,x11183,x11184,x11185,x11186))
% 92.29/92.12 [1119]~E(x11191,x11192)+E(f678(x11193,x11191,x11194,x11195,x11196),f678(x11193,x11192,x11194,x11195,x11196))
% 92.29/92.12 [1120]~E(x11201,x11202)+E(f678(x11203,x11204,x11201,x11205,x11206),f678(x11203,x11204,x11202,x11205,x11206))
% 92.29/92.12 [1121]~E(x11211,x11212)+E(f678(x11213,x11214,x11215,x11211,x11216),f678(x11213,x11214,x11215,x11212,x11216))
% 92.29/92.12 [1122]~E(x11221,x11222)+E(f678(x11223,x11224,x11225,x11226,x11221),f678(x11223,x11224,x11225,x11226,x11222))
% 92.29/92.12 [1123]~E(x11231,x11232)+E(f597(x11231,x11233,x11234,x11235,x11236),f597(x11232,x11233,x11234,x11235,x11236))
% 92.29/92.12 [1124]~E(x11241,x11242)+E(f597(x11243,x11241,x11244,x11245,x11246),f597(x11243,x11242,x11244,x11245,x11246))
% 92.29/92.12 [1125]~E(x11251,x11252)+E(f597(x11253,x11254,x11251,x11255,x11256),f597(x11253,x11254,x11252,x11255,x11256))
% 92.29/92.12 [1126]~E(x11261,x11262)+E(f597(x11263,x11264,x11265,x11261,x11266),f597(x11263,x11264,x11265,x11262,x11266))
% 92.29/92.12 [1127]~E(x11271,x11272)+E(f597(x11273,x11274,x11275,x11276,x11271),f597(x11273,x11274,x11275,x11276,x11272))
% 92.29/92.12 [1128]~E(x11281,x11282)+E(f274(x11281,x11283),f274(x11282,x11283))
% 92.29/92.12 [1129]~E(x11291,x11292)+E(f274(x11293,x11291),f274(x11293,x11292))
% 92.29/92.12 [1130]~E(x11301,x11302)+E(f37(x11301),f37(x11302))
% 92.29/92.12 [1131]~E(x11311,x11312)+E(f607(x11311,x11313,x11314,x11315,x11316),f607(x11312,x11313,x11314,x11315,x11316))
% 92.29/92.12 [1132]~E(x11321,x11322)+E(f607(x11323,x11321,x11324,x11325,x11326),f607(x11323,x11322,x11324,x11325,x11326))
% 92.29/92.12 [1133]~E(x11331,x11332)+E(f607(x11333,x11334,x11331,x11335,x11336),f607(x11333,x11334,x11332,x11335,x11336))
% 92.29/92.12 [1134]~E(x11341,x11342)+E(f607(x11343,x11344,x11345,x11341,x11346),f607(x11343,x11344,x11345,x11342,x11346))
% 92.29/92.12 [1135]~E(x11351,x11352)+E(f607(x11353,x11354,x11355,x11356,x11351),f607(x11353,x11354,x11355,x11356,x11352))
% 92.29/92.12 [1136]~E(x11361,x11362)+E(f700(x11361,x11363,x11364),f700(x11362,x11363,x11364))
% 92.29/92.12 [1137]~E(x11371,x11372)+E(f700(x11373,x11371,x11374),f700(x11373,x11372,x11374))
% 92.29/92.12 [1138]~E(x11381,x11382)+E(f700(x11383,x11384,x11381),f700(x11383,x11384,x11382))
% 92.29/92.12 [1139]~E(x11391,x11392)+E(f875(x11391,x11393,x11394),f875(x11392,x11393,x11394))
% 92.29/92.12 [1140]~E(x11401,x11402)+E(f875(x11403,x11401,x11404),f875(x11403,x11402,x11404))
% 92.29/92.12 [1141]~E(x11411,x11412)+E(f875(x11413,x11414,x11411),f875(x11413,x11414,x11412))
% 92.29/92.12 [1142]~E(x11421,x11422)+E(f514(x11421,x11423,x11424),f514(x11422,x11423,x11424))
% 92.29/92.12 [1143]~E(x11431,x11432)+E(f514(x11433,x11431,x11434),f514(x11433,x11432,x11434))
% 92.29/92.12 [1144]~E(x11441,x11442)+E(f514(x11443,x11444,x11441),f514(x11443,x11444,x11442))
% 92.29/92.12 [1145]~E(x11451,x11452)+E(f378(x11451,x11453,x11454),f378(x11452,x11453,x11454))
% 92.29/92.12 [1146]~E(x11461,x11462)+E(f378(x11463,x11461,x11464),f378(x11463,x11462,x11464))
% 92.29/92.12 [1147]~E(x11471,x11472)+E(f378(x11473,x11474,x11471),f378(x11473,x11474,x11472))
% 92.29/92.12 [1148]~E(x11481,x11482)+E(f395(x11481,x11483,x11484,x11485),f395(x11482,x11483,x11484,x11485))
% 92.29/92.12 [1149]~E(x11491,x11492)+E(f395(x11493,x11491,x11494,x11495),f395(x11493,x11492,x11494,x11495))
% 92.29/92.12 [1150]~E(x11501,x11502)+E(f395(x11503,x11504,x11501,x11505),f395(x11503,x11504,x11502,x11505))
% 92.29/92.12 [1151]~E(x11511,x11512)+E(f395(x11513,x11514,x11515,x11511),f395(x11513,x11514,x11515,x11512))
% 92.29/92.12 [1152]~E(x11521,x11522)+E(f153(x11521,x11523,x11524,x11525),f153(x11522,x11523,x11524,x11525))
% 92.29/92.12 [1153]~E(x11531,x11532)+E(f153(x11533,x11531,x11534,x11535),f153(x11533,x11532,x11534,x11535))
% 92.29/92.12 [1154]~E(x11541,x11542)+E(f153(x11543,x11544,x11541,x11545),f153(x11543,x11544,x11542,x11545))
% 92.29/92.12 [1155]~E(x11551,x11552)+E(f153(x11553,x11554,x11555,x11551),f153(x11553,x11554,x11555,x11552))
% 92.29/92.12 [1156]~E(x11561,x11562)+E(f784(x11561),f784(x11562))
% 92.29/92.12 [1157]~E(x11571,x11572)+E(f879(x11571,x11573),f879(x11572,x11573))
% 92.29/92.12 [1158]~E(x11581,x11582)+E(f879(x11583,x11581),f879(x11583,x11582))
% 92.29/92.12 [1159]~E(x11591,x11592)+E(f841(x11591,x11593,x11594),f841(x11592,x11593,x11594))
% 92.29/92.12 [1160]~E(x11601,x11602)+E(f841(x11603,x11601,x11604),f841(x11603,x11602,x11604))
% 92.29/92.12 [1161]~E(x11611,x11612)+E(f841(x11613,x11614,x11611),f841(x11613,x11614,x11612))
% 92.29/92.12 [1162]~E(x11621,x11622)+E(f386(x11621,x11623,x11624),f386(x11622,x11623,x11624))
% 92.29/92.12 [1163]~E(x11631,x11632)+E(f386(x11633,x11631,x11634),f386(x11633,x11632,x11634))
% 92.29/92.12 [1164]~E(x11641,x11642)+E(f386(x11643,x11644,x11641),f386(x11643,x11644,x11642))
% 92.29/92.12 [1165]~E(x11651,x11652)+E(f321(x11651,x11653,x11654,x11655),f321(x11652,x11653,x11654,x11655))
% 92.29/92.12 [1166]~E(x11661,x11662)+E(f321(x11663,x11661,x11664,x11665),f321(x11663,x11662,x11664,x11665))
% 92.29/92.12 [1167]~E(x11671,x11672)+E(f321(x11673,x11674,x11671,x11675),f321(x11673,x11674,x11672,x11675))
% 92.29/92.12 [1168]~E(x11681,x11682)+E(f321(x11683,x11684,x11685,x11681),f321(x11683,x11684,x11685,x11682))
% 92.29/92.12 [1169]~E(x11691,x11692)+E(f278(x11691,x11693),f278(x11692,x11693))
% 92.29/92.12 [1170]~E(x11701,x11702)+E(f278(x11703,x11701),f278(x11703,x11702))
% 92.29/92.12 [1171]~E(x11711,x11712)+E(f605(x11711,x11713,x11714,x11715),f605(x11712,x11713,x11714,x11715))
% 92.29/92.12 [1172]~E(x11721,x11722)+E(f605(x11723,x11721,x11724,x11725),f605(x11723,x11722,x11724,x11725))
% 92.29/92.12 [1173]~E(x11731,x11732)+E(f605(x11733,x11734,x11731,x11735),f605(x11733,x11734,x11732,x11735))
% 92.29/92.12 [1174]~E(x11741,x11742)+E(f605(x11743,x11744,x11745,x11741),f605(x11743,x11744,x11745,x11742))
% 92.29/92.12 [1175]~E(x11751,x11752)+E(f139(x11751,x11753,x11754,x11755,x11756),f139(x11752,x11753,x11754,x11755,x11756))
% 92.29/92.12 [1176]~E(x11761,x11762)+E(f139(x11763,x11761,x11764,x11765,x11766),f139(x11763,x11762,x11764,x11765,x11766))
% 92.29/92.12 [1177]~E(x11771,x11772)+E(f139(x11773,x11774,x11771,x11775,x11776),f139(x11773,x11774,x11772,x11775,x11776))
% 92.29/92.12 [1178]~E(x11781,x11782)+E(f139(x11783,x11784,x11785,x11781,x11786),f139(x11783,x11784,x11785,x11782,x11786))
% 92.29/92.12 [1179]~E(x11791,x11792)+E(f139(x11793,x11794,x11795,x11796,x11791),f139(x11793,x11794,x11795,x11796,x11792))
% 92.29/92.12 [1180]~E(x11801,x11802)+E(f690(x11801,x11803,x11804),f690(x11802,x11803,x11804))
% 92.29/92.12 [1181]~E(x11811,x11812)+E(f690(x11813,x11811,x11814),f690(x11813,x11812,x11814))
% 92.29/92.12 [1182]~E(x11821,x11822)+E(f690(x11823,x11824,x11821),f690(x11823,x11824,x11822))
% 92.29/92.12 [1183]~E(x11831,x11832)+E(f464(x11831,x11833,x11834,x11835,x11836),f464(x11832,x11833,x11834,x11835,x11836))
% 92.29/92.12 [1184]~E(x11841,x11842)+E(f464(x11843,x11841,x11844,x11845,x11846),f464(x11843,x11842,x11844,x11845,x11846))
% 92.29/92.12 [1185]~E(x11851,x11852)+E(f464(x11853,x11854,x11851,x11855,x11856),f464(x11853,x11854,x11852,x11855,x11856))
% 92.29/92.12 [1186]~E(x11861,x11862)+E(f464(x11863,x11864,x11865,x11861,x11866),f464(x11863,x11864,x11865,x11862,x11866))
% 92.29/92.12 [1187]~E(x11871,x11872)+E(f464(x11873,x11874,x11875,x11876,x11871),f464(x11873,x11874,x11875,x11876,x11872))
% 92.29/92.12 [1188]~E(x11881,x11882)+E(f799(x11881),f799(x11882))
% 92.29/92.12 [1189]~E(x11891,x11892)+E(f118(x11891,x11893),f118(x11892,x11893))
% 92.29/92.12 [1190]~E(x11901,x11902)+E(f118(x11903,x11901),f118(x11903,x11902))
% 92.29/92.12 [1191]~E(x11911,x11912)+E(f122(x11911,x11913),f122(x11912,x11913))
% 92.29/92.12 [1192]~E(x11921,x11922)+E(f122(x11923,x11921),f122(x11923,x11922))
% 92.29/92.12 [1193]~E(x11931,x11932)+E(f536(x11931,x11933,x11934,x11935),f536(x11932,x11933,x11934,x11935))
% 92.29/92.12 [1194]~E(x11941,x11942)+E(f536(x11943,x11941,x11944,x11945),f536(x11943,x11942,x11944,x11945))
% 92.29/92.12 [1195]~E(x11951,x11952)+E(f536(x11953,x11954,x11951,x11955),f536(x11953,x11954,x11952,x11955))
% 92.29/92.12 [1196]~E(x11961,x11962)+E(f536(x11963,x11964,x11965,x11961),f536(x11963,x11964,x11965,x11962))
% 92.29/92.12 [1197]~E(x11971,x11972)+E(f199(x11971,x11973,x11974,x11975),f199(x11972,x11973,x11974,x11975))
% 92.29/92.12 [1198]~E(x11981,x11982)+E(f199(x11983,x11981,x11984,x11985),f199(x11983,x11982,x11984,x11985))
% 92.29/92.12 [1199]~E(x11991,x11992)+E(f199(x11993,x11994,x11991,x11995),f199(x11993,x11994,x11992,x11995))
% 92.29/92.12 [1200]~E(x12001,x12002)+E(f199(x12003,x12004,x12005,x12001),f199(x12003,x12004,x12005,x12002))
% 92.29/92.12 [1201]~E(x12011,x12012)+E(f238(x12011,x12013),f238(x12012,x12013))
% 92.29/92.12 [1202]~E(x12021,x12022)+E(f238(x12023,x12021),f238(x12023,x12022))
% 92.29/92.12 [1203]~E(x12031,x12032)+E(f542(x12031,x12033,x12034),f542(x12032,x12033,x12034))
% 92.29/92.12 [1204]~E(x12041,x12042)+E(f542(x12043,x12041,x12044),f542(x12043,x12042,x12044))
% 92.29/92.12 [1205]~E(x12051,x12052)+E(f542(x12053,x12054,x12051),f542(x12053,x12054,x12052))
% 92.29/92.12 [1206]~E(x12061,x12062)+E(f264(x12061,x12063,x12064),f264(x12062,x12063,x12064))
% 92.29/92.12 [1207]~E(x12071,x12072)+E(f264(x12073,x12071,x12074),f264(x12073,x12072,x12074))
% 92.29/92.12 [1208]~E(x12081,x12082)+E(f264(x12083,x12084,x12081),f264(x12083,x12084,x12082))
% 92.29/92.12 [1209]~E(x12091,x12092)+E(f512(x12091,x12093,x12094),f512(x12092,x12093,x12094))
% 92.29/92.12 [1210]~E(x12101,x12102)+E(f512(x12103,x12101,x12104),f512(x12103,x12102,x12104))
% 92.29/92.12 [1211]~E(x12111,x12112)+E(f512(x12113,x12114,x12111),f512(x12113,x12114,x12112))
% 92.29/92.12 [1212]~E(x12121,x12122)+E(f237(x12121,x12123,x12124),f237(x12122,x12123,x12124))
% 92.29/92.12 [1213]~E(x12131,x12132)+E(f237(x12133,x12131,x12134),f237(x12133,x12132,x12134))
% 92.29/92.12 [1214]~E(x12141,x12142)+E(f237(x12143,x12144,x12141),f237(x12143,x12144,x12142))
% 92.29/92.12 [1215]~E(x12151,x12152)+E(f148(x12151,x12153),f148(x12152,x12153))
% 92.29/92.12 [1216]~E(x12161,x12162)+E(f148(x12163,x12161),f148(x12163,x12162))
% 92.29/92.12 [1217]~E(x12171,x12172)+E(f394(x12171,x12173,x12174,x12175),f394(x12172,x12173,x12174,x12175))
% 92.29/92.12 [1218]~E(x12181,x12182)+E(f394(x12183,x12181,x12184,x12185),f394(x12183,x12182,x12184,x12185))
% 92.29/92.12 [1219]~E(x12191,x12192)+E(f394(x12193,x12194,x12191,x12195),f394(x12193,x12194,x12192,x12195))
% 92.29/92.12 [1220]~E(x12201,x12202)+E(f394(x12203,x12204,x12205,x12201),f394(x12203,x12204,x12205,x12202))
% 92.29/92.12 [1221]~E(x12211,x12212)+E(f756(x12211,x12213,x12214,x12215),f756(x12212,x12213,x12214,x12215))
% 92.29/92.12 [1222]~E(x12221,x12222)+E(f756(x12223,x12221,x12224,x12225),f756(x12223,x12222,x12224,x12225))
% 92.29/92.12 [1223]~E(x12231,x12232)+E(f756(x12233,x12234,x12231,x12235),f756(x12233,x12234,x12232,x12235))
% 92.29/92.12 [1224]~E(x12241,x12242)+E(f756(x12243,x12244,x12245,x12241),f756(x12243,x12244,x12245,x12242))
% 92.29/92.12 [1225]~E(x12251,x12252)+E(f860(x12251,x12253,x12254),f860(x12252,x12253,x12254))
% 92.29/92.12 [1226]~E(x12261,x12262)+E(f860(x12263,x12261,x12264),f860(x12263,x12262,x12264))
% 92.29/92.12 [1227]~E(x12271,x12272)+E(f860(x12273,x12274,x12271),f860(x12273,x12274,x12272))
% 92.29/92.12 [1228]~E(x12281,x12282)+E(f885(x12281,x12283,x12284),f885(x12282,x12283,x12284))
% 92.29/92.12 [1229]~E(x12291,x12292)+E(f885(x12293,x12291,x12294),f885(x12293,x12292,x12294))
% 92.29/92.12 [1230]~E(x12301,x12302)+E(f885(x12303,x12304,x12301),f885(x12303,x12304,x12302))
% 92.29/92.12 [1231]~E(x12311,x12312)+E(f189(x12311,x12313),f189(x12312,x12313))
% 92.29/92.12 [1232]~E(x12321,x12322)+E(f189(x12323,x12321),f189(x12323,x12322))
% 92.29/92.12 [1233]~E(x12331,x12332)+E(f591(x12331,x12333),f591(x12332,x12333))
% 92.29/92.12 [1234]~E(x12341,x12342)+E(f591(x12343,x12341),f591(x12343,x12342))
% 92.33/92.12 [1235]~E(x12351,x12352)+E(f874(x12351,x12353),f874(x12352,x12353))
% 92.33/92.12 [1236]~E(x12361,x12362)+E(f874(x12363,x12361),f874(x12363,x12362))
% 92.33/92.12 [1237]~E(x12371,x12372)+E(f574(x12371,x12373,x12374,x12375,x12376),f574(x12372,x12373,x12374,x12375,x12376))
% 92.33/92.12 [1238]~E(x12381,x12382)+E(f574(x12383,x12381,x12384,x12385,x12386),f574(x12383,x12382,x12384,x12385,x12386))
% 92.33/92.12 [1239]~E(x12391,x12392)+E(f574(x12393,x12394,x12391,x12395,x12396),f574(x12393,x12394,x12392,x12395,x12396))
% 92.33/92.12 [1240]~E(x12401,x12402)+E(f574(x12403,x12404,x12405,x12401,x12406),f574(x12403,x12404,x12405,x12402,x12406))
% 92.33/92.12 [1241]~E(x12411,x12412)+E(f574(x12413,x12414,x12415,x12416,x12411),f574(x12413,x12414,x12415,x12416,x12412))
% 92.33/92.12 [1242]~E(x12421,x12422)+E(f34(x12421),f34(x12422))
% 92.33/92.12 [1243]~E(x12431,x12432)+E(f380(x12431,x12433,x12434,x12435),f380(x12432,x12433,x12434,x12435))
% 92.33/92.12 [1244]~E(x12441,x12442)+E(f380(x12443,x12441,x12444,x12445),f380(x12443,x12442,x12444,x12445))
% 92.33/92.12 [1245]~E(x12451,x12452)+E(f380(x12453,x12454,x12451,x12455),f380(x12453,x12454,x12452,x12455))
% 92.33/92.12 [1246]~E(x12461,x12462)+E(f380(x12463,x12464,x12465,x12461),f380(x12463,x12464,x12465,x12462))
% 92.33/92.12 [1247]~E(x12471,x12472)+E(f267(x12471,x12473,x12474,x12475),f267(x12472,x12473,x12474,x12475))
% 92.33/92.12 [1248]~E(x12481,x12482)+E(f267(x12483,x12481,x12484,x12485),f267(x12483,x12482,x12484,x12485))
% 92.33/92.12 [1249]~E(x12491,x12492)+E(f267(x12493,x12494,x12491,x12495),f267(x12493,x12494,x12492,x12495))
% 92.33/92.12 [1250]~E(x12501,x12502)+E(f267(x12503,x12504,x12505,x12501),f267(x12503,x12504,x12505,x12502))
% 92.33/92.12 [1251]~E(x12511,x12512)+E(f256(x12511,x12513),f256(x12512,x12513))
% 92.33/92.12 [1252]~E(x12521,x12522)+E(f256(x12523,x12521),f256(x12523,x12522))
% 92.33/92.12 [1253]~E(x12531,x12532)+E(f595(x12531,x12533,x12534,x12535,x12536),f595(x12532,x12533,x12534,x12535,x12536))
% 92.33/92.12 [1254]~E(x12541,x12542)+E(f595(x12543,x12541,x12544,x12545,x12546),f595(x12543,x12542,x12544,x12545,x12546))
% 92.33/92.12 [1255]~E(x12551,x12552)+E(f595(x12553,x12554,x12551,x12555,x12556),f595(x12553,x12554,x12552,x12555,x12556))
% 92.33/92.12 [1256]~E(x12561,x12562)+E(f595(x12563,x12564,x12565,x12561,x12566),f595(x12563,x12564,x12565,x12562,x12566))
% 92.33/92.12 [1257]~E(x12571,x12572)+E(f595(x12573,x12574,x12575,x12576,x12571),f595(x12573,x12574,x12575,x12576,x12572))
% 92.33/92.12 [1258]~E(x12581,x12582)+E(f729(x12581,x12583,x12584),f729(x12582,x12583,x12584))
% 92.33/92.12 [1259]~E(x12591,x12592)+E(f729(x12593,x12591,x12594),f729(x12593,x12592,x12594))
% 92.33/92.12 [1260]~E(x12601,x12602)+E(f729(x12603,x12604,x12601),f729(x12603,x12604,x12602))
% 92.33/92.12 [1261]~E(x12611,x12612)+E(f592(x12611,x12613),f592(x12612,x12613))
% 92.33/92.12 [1262]~E(x12621,x12622)+E(f592(x12623,x12621),f592(x12623,x12622))
% 92.33/92.12 [1263]~E(x12631,x12632)+E(f106(x12631,x12633,x12634),f106(x12632,x12633,x12634))
% 92.33/92.12 [1264]~E(x12641,x12642)+E(f106(x12643,x12641,x12644),f106(x12643,x12642,x12644))
% 92.33/92.12 [1265]~E(x12651,x12652)+E(f106(x12653,x12654,x12651),f106(x12653,x12654,x12652))
% 92.33/92.12 [1266]~E(x12661,x12662)+E(f457(x12661,x12663,x12664),f457(x12662,x12663,x12664))
% 92.33/92.12 [1267]~E(x12671,x12672)+E(f457(x12673,x12671,x12674),f457(x12673,x12672,x12674))
% 92.33/92.12 [1268]~E(x12681,x12682)+E(f457(x12683,x12684,x12681),f457(x12683,x12684,x12682))
% 92.33/92.12 [1269]~E(x12691,x12692)+E(f191(x12691),f191(x12692))
% 92.33/92.12 [1270]~E(x12701,x12702)+E(f853(x12701,x12703),f853(x12702,x12703))
% 92.33/92.12 [1271]~E(x12711,x12712)+E(f853(x12713,x12711),f853(x12713,x12712))
% 92.33/92.12 [1272]~E(x12721,x12722)+E(f723(x12721,x12723),f723(x12722,x12723))
% 92.33/92.12 [1273]~E(x12731,x12732)+E(f723(x12733,x12731),f723(x12733,x12732))
% 92.33/92.12 [1274]~E(x12741,x12742)+E(f163(x12741,x12743,x12744),f163(x12742,x12743,x12744))
% 92.33/92.12 [1275]~E(x12751,x12752)+E(f163(x12753,x12751,x12754),f163(x12753,x12752,x12754))
% 92.33/92.12 [1276]~E(x12761,x12762)+E(f163(x12763,x12764,x12761),f163(x12763,x12764,x12762))
% 92.33/92.12 [1277]~E(x12771,x12772)+E(f49(x12771,x12773),f49(x12772,x12773))
% 92.33/92.12 [1278]~E(x12781,x12782)+E(f49(x12783,x12781),f49(x12783,x12782))
% 92.33/92.12 [1279]~E(x12791,x12792)+E(f40(x12791),f40(x12792))
% 92.33/92.12 [1280]~E(x12801,x12802)+E(f625(x12801,x12803,x12804,x12805),f625(x12802,x12803,x12804,x12805))
% 92.33/92.12 [1281]~E(x12811,x12812)+E(f625(x12813,x12811,x12814,x12815),f625(x12813,x12812,x12814,x12815))
% 92.33/92.12 [1282]~E(x12821,x12822)+E(f625(x12823,x12824,x12821,x12825),f625(x12823,x12824,x12822,x12825))
% 92.33/92.12 [1283]~E(x12831,x12832)+E(f625(x12833,x12834,x12835,x12831),f625(x12833,x12834,x12835,x12832))
% 92.33/92.12 [1284]~E(x12841,x12842)+E(f374(x12841,x12843),f374(x12842,x12843))
% 92.33/92.12 [1285]~E(x12851,x12852)+E(f374(x12853,x12851),f374(x12853,x12852))
% 92.33/92.12 [1286]~E(x12861,x12862)+E(f813(x12861,x12863,x12864),f813(x12862,x12863,x12864))
% 92.33/92.12 [1287]~E(x12871,x12872)+E(f813(x12873,x12871,x12874),f813(x12873,x12872,x12874))
% 92.33/92.12 [1288]~E(x12881,x12882)+E(f813(x12883,x12884,x12881),f813(x12883,x12884,x12882))
% 92.33/92.12 [1289]~E(x12891,x12892)+E(f174(x12891,x12893,x12894),f174(x12892,x12893,x12894))
% 92.33/92.12 [1290]~E(x12901,x12902)+E(f174(x12903,x12901,x12904),f174(x12903,x12902,x12904))
% 92.33/92.12 [1291]~E(x12911,x12912)+E(f174(x12913,x12914,x12911),f174(x12913,x12914,x12912))
% 92.33/92.12 [1292]~E(x12921,x12922)+E(f270(x12921,x12923,x12924,x12925),f270(x12922,x12923,x12924,x12925))
% 92.33/92.12 [1293]~E(x12931,x12932)+E(f270(x12933,x12931,x12934,x12935),f270(x12933,x12932,x12934,x12935))
% 92.33/92.12 [1294]~E(x12941,x12942)+E(f270(x12943,x12944,x12941,x12945),f270(x12943,x12944,x12942,x12945))
% 92.33/92.12 [1295]~E(x12951,x12952)+E(f270(x12953,x12954,x12955,x12951),f270(x12953,x12954,x12955,x12952))
% 92.33/92.12 [1296]~E(x12961,x12962)+E(f359(x12961,x12963,x12964,x12965),f359(x12962,x12963,x12964,x12965))
% 92.33/92.12 [1297]~E(x12971,x12972)+E(f359(x12973,x12971,x12974,x12975),f359(x12973,x12972,x12974,x12975))
% 92.33/92.12 [1298]~E(x12981,x12982)+E(f359(x12983,x12984,x12981,x12985),f359(x12983,x12984,x12982,x12985))
% 92.33/92.12 [1299]~E(x12991,x12992)+E(f359(x12993,x12994,x12995,x12991),f359(x12993,x12994,x12995,x12992))
% 92.33/92.12 [1300]~E(x13001,x13002)+E(f889(x13001,x13003,x13004),f889(x13002,x13003,x13004))
% 92.33/92.12 [1301]~E(x13011,x13012)+E(f889(x13013,x13011,x13014),f889(x13013,x13012,x13014))
% 92.33/92.12 [1302]~E(x13021,x13022)+E(f889(x13023,x13024,x13021),f889(x13023,x13024,x13022))
% 92.33/92.12 [1303]~E(x13031,x13032)+E(f650(x13031,x13033,x13034),f650(x13032,x13033,x13034))
% 92.33/92.12 [1304]~E(x13041,x13042)+E(f650(x13043,x13041,x13044),f650(x13043,x13042,x13044))
% 92.33/92.12 [1305]~E(x13051,x13052)+E(f650(x13053,x13054,x13051),f650(x13053,x13054,x13052))
% 92.33/92.12 [1306]~E(x13061,x13062)+E(f325(x13061,x13063,x13064),f325(x13062,x13063,x13064))
% 92.33/92.12 [1307]~E(x13071,x13072)+E(f325(x13073,x13071,x13074),f325(x13073,x13072,x13074))
% 92.33/92.12 [1308]~E(x13081,x13082)+E(f325(x13083,x13084,x13081),f325(x13083,x13084,x13082))
% 92.33/92.12 [1309]~E(x13091,x13092)+E(f676(x13091,x13093,x13094,x13095),f676(x13092,x13093,x13094,x13095))
% 92.33/92.12 [1310]~E(x13101,x13102)+E(f676(x13103,x13101,x13104,x13105),f676(x13103,x13102,x13104,x13105))
% 92.33/92.12 [1311]~E(x13111,x13112)+E(f676(x13113,x13114,x13111,x13115),f676(x13113,x13114,x13112,x13115))
% 92.33/92.12 [1312]~E(x13121,x13122)+E(f676(x13123,x13124,x13125,x13121),f676(x13123,x13124,x13125,x13122))
% 92.33/92.12 [1313]~E(x13131,x13132)+E(f385(x13131,x13133,x13134),f385(x13132,x13133,x13134))
% 92.33/92.12 [1314]~E(x13141,x13142)+E(f385(x13143,x13141,x13144),f385(x13143,x13142,x13144))
% 92.33/92.12 [1315]~E(x13151,x13152)+E(f385(x13153,x13154,x13151),f385(x13153,x13154,x13152))
% 92.33/92.12 [1316]~E(x13161,x13162)+E(f513(x13161,x13163,x13164),f513(x13162,x13163,x13164))
% 92.33/92.12 [1317]~E(x13171,x13172)+E(f513(x13173,x13171,x13174),f513(x13173,x13172,x13174))
% 92.33/92.12 [1318]~E(x13181,x13182)+E(f513(x13183,x13184,x13181),f513(x13183,x13184,x13182))
% 92.33/92.12 [1319]~E(x13191,x13192)+E(f452(x13191,x13193,x13194,x13195,x13196),f452(x13192,x13193,x13194,x13195,x13196))
% 92.33/92.12 [1320]~E(x13201,x13202)+E(f452(x13203,x13201,x13204,x13205,x13206),f452(x13203,x13202,x13204,x13205,x13206))
% 92.33/92.12 [1321]~E(x13211,x13212)+E(f452(x13213,x13214,x13211,x13215,x13216),f452(x13213,x13214,x13212,x13215,x13216))
% 92.33/92.12 [1322]~E(x13221,x13222)+E(f452(x13223,x13224,x13225,x13221,x13226),f452(x13223,x13224,x13225,x13222,x13226))
% 92.33/92.12 [1323]~E(x13231,x13232)+E(f452(x13233,x13234,x13235,x13236,x13231),f452(x13233,x13234,x13235,x13236,x13232))
% 92.33/92.12 [1324]~E(x13241,x13242)+E(f705(x13241,x13243),f705(x13242,x13243))
% 92.33/92.12 [1325]~E(x13251,x13252)+E(f705(x13253,x13251),f705(x13253,x13252))
% 92.33/92.12 [1326]~E(x13261,x13262)+E(f525(x13261,x13263,x13264,x13265),f525(x13262,x13263,x13264,x13265))
% 92.33/92.12 [1327]~E(x13271,x13272)+E(f525(x13273,x13271,x13274,x13275),f525(x13273,x13272,x13274,x13275))
% 92.33/92.12 [1328]~E(x13281,x13282)+E(f525(x13283,x13284,x13281,x13285),f525(x13283,x13284,x13282,x13285))
% 92.33/92.12 [1329]~E(x13291,x13292)+E(f525(x13293,x13294,x13295,x13291),f525(x13293,x13294,x13295,x13292))
% 92.33/92.12 [1330]~E(x13301,x13302)+E(f345(x13301,x13303),f345(x13302,x13303))
% 92.33/92.12 [1331]~E(x13311,x13312)+E(f345(x13313,x13311),f345(x13313,x13312))
% 92.33/92.12 [1332]~E(x13321,x13322)+E(f812(x13321,x13323,x13324),f812(x13322,x13323,x13324))
% 92.33/92.12 [1333]~E(x13331,x13332)+E(f812(x13333,x13331,x13334),f812(x13333,x13332,x13334))
% 92.33/92.12 [1334]~E(x13341,x13342)+E(f812(x13343,x13344,x13341),f812(x13343,x13344,x13342))
% 92.33/92.12 [1335]~E(x13351,x13352)+E(f666(x13351,x13353,x13354,x13355,x13356),f666(x13352,x13353,x13354,x13355,x13356))
% 92.33/92.12 [1336]~E(x13361,x13362)+E(f666(x13363,x13361,x13364,x13365,x13366),f666(x13363,x13362,x13364,x13365,x13366))
% 92.33/92.12 [1337]~E(x13371,x13372)+E(f666(x13373,x13374,x13371,x13375,x13376),f666(x13373,x13374,x13372,x13375,x13376))
% 92.33/92.12 [1338]~E(x13381,x13382)+E(f666(x13383,x13384,x13385,x13381,x13386),f666(x13383,x13384,x13385,x13382,x13386))
% 92.33/92.12 [1339]~E(x13391,x13392)+E(f666(x13393,x13394,x13395,x13396,x13391),f666(x13393,x13394,x13395,x13396,x13392))
% 92.33/92.12 [1340]~E(x13401,x13402)+E(f578(x13401,x13403,x13404,x13405),f578(x13402,x13403,x13404,x13405))
% 92.33/92.12 [1341]~E(x13411,x13412)+E(f578(x13413,x13411,x13414,x13415),f578(x13413,x13412,x13414,x13415))
% 92.33/92.12 [1342]~E(x13421,x13422)+E(f578(x13423,x13424,x13421,x13425),f578(x13423,x13424,x13422,x13425))
% 92.33/92.12 [1343]~E(x13431,x13432)+E(f578(x13433,x13434,x13435,x13431),f578(x13433,x13434,x13435,x13432))
% 92.33/92.12 [1344]~E(x13441,x13442)+E(f745(x13441,x13443,x13444),f745(x13442,x13443,x13444))
% 92.33/92.12 [1345]~E(x13451,x13452)+E(f745(x13453,x13451,x13454),f745(x13453,x13452,x13454))
% 92.33/92.12 [1346]~E(x13461,x13462)+E(f745(x13463,x13464,x13461),f745(x13463,x13464,x13462))
% 92.33/92.12 [1347]~E(x13471,x13472)+E(f421(x13471,x13473,x13474,x13475,x13476),f421(x13472,x13473,x13474,x13475,x13476))
% 92.33/92.12 [1348]~E(x13481,x13482)+E(f421(x13483,x13481,x13484,x13485,x13486),f421(x13483,x13482,x13484,x13485,x13486))
% 92.33/92.12 [1349]~E(x13491,x13492)+E(f421(x13493,x13494,x13491,x13495,x13496),f421(x13493,x13494,x13492,x13495,x13496))
% 92.33/92.12 [1350]~E(x13501,x13502)+E(f421(x13503,x13504,x13505,x13501,x13506),f421(x13503,x13504,x13505,x13502,x13506))
% 92.33/92.12 [1351]~E(x13511,x13512)+E(f421(x13513,x13514,x13515,x13516,x13511),f421(x13513,x13514,x13515,x13516,x13512))
% 92.33/92.12 [1352]~E(x13521,x13522)+E(f695(x13521,x13523,x13524),f695(x13522,x13523,x13524))
% 92.33/92.12 [1353]~E(x13531,x13532)+E(f695(x13533,x13531,x13534),f695(x13533,x13532,x13534))
% 92.33/92.12 [1354]~E(x13541,x13542)+E(f695(x13543,x13544,x13541),f695(x13543,x13544,x13542))
% 92.33/92.12 [1355]~E(x13551,x13552)+E(f883(x13551,x13553,x13554),f883(x13552,x13553,x13554))
% 92.33/92.12 [1356]~E(x13561,x13562)+E(f883(x13563,x13561,x13564),f883(x13563,x13562,x13564))
% 92.33/92.12 [1357]~E(x13571,x13572)+E(f883(x13573,x13574,x13571),f883(x13573,x13574,x13572))
% 92.33/92.12 [1358]~E(x13581,x13582)+E(f891(x13581,x13583),f891(x13582,x13583))
% 92.33/92.12 [1359]~E(x13591,x13592)+E(f891(x13593,x13591),f891(x13593,x13592))
% 92.33/92.12 [1360]~E(x13601,x13602)+E(f498(x13601,x13603,x13604,x13605,x13606,x13607),f498(x13602,x13603,x13604,x13605,x13606,x13607))
% 92.33/92.12 [1361]~E(x13611,x13612)+E(f498(x13613,x13611,x13614,x13615,x13616,x13617),f498(x13613,x13612,x13614,x13615,x13616,x13617))
% 92.33/92.12 [1362]~E(x13621,x13622)+E(f498(x13623,x13624,x13621,x13625,x13626,x13627),f498(x13623,x13624,x13622,x13625,x13626,x13627))
% 92.33/92.12 [1363]~E(x13631,x13632)+E(f498(x13633,x13634,x13635,x13631,x13636,x13637),f498(x13633,x13634,x13635,x13632,x13636,x13637))
% 92.33/92.12 [1364]~E(x13641,x13642)+E(f498(x13643,x13644,x13645,x13646,x13641,x13647),f498(x13643,x13644,x13645,x13646,x13642,x13647))
% 92.33/92.12 [1365]~E(x13651,x13652)+E(f498(x13653,x13654,x13655,x13656,x13657,x13651),f498(x13653,x13654,x13655,x13656,x13657,x13652))
% 92.33/92.12 [1366]~E(x13661,x13662)+E(f599(x13661,x13663,x13664,x13665,x13666),f599(x13662,x13663,x13664,x13665,x13666))
% 92.33/92.12 [1367]~E(x13671,x13672)+E(f599(x13673,x13671,x13674,x13675,x13676),f599(x13673,x13672,x13674,x13675,x13676))
% 92.33/92.12 [1368]~E(x13681,x13682)+E(f599(x13683,x13684,x13681,x13685,x13686),f599(x13683,x13684,x13682,x13685,x13686))
% 92.33/92.12 [1369]~E(x13691,x13692)+E(f599(x13693,x13694,x13695,x13691,x13696),f599(x13693,x13694,x13695,x13692,x13696))
% 92.33/92.12 [1370]~E(x13701,x13702)+E(f599(x13703,x13704,x13705,x13706,x13701),f599(x13703,x13704,x13705,x13706,x13702))
% 92.33/92.12 [1371]~E(x13711,x13712)+E(f543(x13711,x13713,x13714,x13715),f543(x13712,x13713,x13714,x13715))
% 92.33/92.12 [1372]~E(x13721,x13722)+E(f543(x13723,x13721,x13724,x13725),f543(x13723,x13722,x13724,x13725))
% 92.33/92.12 [1373]~E(x13731,x13732)+E(f543(x13733,x13734,x13731,x13735),f543(x13733,x13734,x13732,x13735))
% 92.33/92.12 [1374]~E(x13741,x13742)+E(f543(x13743,x13744,x13745,x13741),f543(x13743,x13744,x13745,x13742))
% 92.33/92.12 [1375]~E(x13751,x13752)+E(f833(x13751,x13753,x13754),f833(x13752,x13753,x13754))
% 92.33/92.12 [1376]~E(x13761,x13762)+E(f833(x13763,x13761,x13764),f833(x13763,x13762,x13764))
% 92.33/92.12 [1377]~E(x13771,x13772)+E(f833(x13773,x13774,x13771),f833(x13773,x13774,x13772))
% 92.33/92.12 [1378]~E(x13781,x13782)+E(f686(x13781,x13783),f686(x13782,x13783))
% 92.33/92.12 [1379]~E(x13791,x13792)+E(f686(x13793,x13791),f686(x13793,x13792))
% 92.33/92.12 [1380]~E(x13801,x13802)+E(f736(x13801,x13803,x13804),f736(x13802,x13803,x13804))
% 92.33/92.12 [1381]~E(x13811,x13812)+E(f736(x13813,x13811,x13814),f736(x13813,x13812,x13814))
% 92.33/92.12 [1382]~E(x13821,x13822)+E(f736(x13823,x13824,x13821),f736(x13823,x13824,x13822))
% 92.33/92.12 [1383]~E(x13831,x13832)+E(f802(x13831,x13833,x13834),f802(x13832,x13833,x13834))
% 92.33/92.12 [1384]~E(x13841,x13842)+E(f802(x13843,x13841,x13844),f802(x13843,x13842,x13844))
% 92.33/92.12 [1385]~E(x13851,x13852)+E(f802(x13853,x13854,x13851),f802(x13853,x13854,x13852))
% 92.33/92.12 [1386]~E(x13861,x13862)+E(f453(x13861,x13863,x13864,x13865,x13866),f453(x13862,x13863,x13864,x13865,x13866))
% 92.33/92.12 [1387]~E(x13871,x13872)+E(f453(x13873,x13871,x13874,x13875,x13876),f453(x13873,x13872,x13874,x13875,x13876))
% 92.33/92.12 [1388]~E(x13881,x13882)+E(f453(x13883,x13884,x13881,x13885,x13886),f453(x13883,x13884,x13882,x13885,x13886))
% 92.33/92.12 [1389]~E(x13891,x13892)+E(f453(x13893,x13894,x13895,x13891,x13896),f453(x13893,x13894,x13895,x13892,x13896))
% 92.33/92.12 [1390]~E(x13901,x13902)+E(f453(x13903,x13904,x13905,x13906,x13901),f453(x13903,x13904,x13905,x13906,x13902))
% 92.33/92.12 [1391]~E(x13911,x13912)+E(f526(x13911,x13913,x13914,x13915,x13916,x13917),f526(x13912,x13913,x13914,x13915,x13916,x13917))
% 92.33/92.12 [1392]~E(x13921,x13922)+E(f526(x13923,x13921,x13924,x13925,x13926,x13927),f526(x13923,x13922,x13924,x13925,x13926,x13927))
% 92.33/92.12 [1393]~E(x13931,x13932)+E(f526(x13933,x13934,x13931,x13935,x13936,x13937),f526(x13933,x13934,x13932,x13935,x13936,x13937))
% 92.33/92.12 [1394]~E(x13941,x13942)+E(f526(x13943,x13944,x13945,x13941,x13946,x13947),f526(x13943,x13944,x13945,x13942,x13946,x13947))
% 92.33/92.12 [1395]~E(x13951,x13952)+E(f526(x13953,x13954,x13955,x13956,x13951,x13957),f526(x13953,x13954,x13955,x13956,x13952,x13957))
% 92.33/92.12 [1396]~E(x13961,x13962)+E(f526(x13963,x13964,x13965,x13966,x13967,x13961),f526(x13963,x13964,x13965,x13966,x13967,x13962))
% 92.33/92.12 [1397]~E(x13971,x13972)+E(f133(x13971,x13973),f133(x13972,x13973))
% 92.33/92.12 [1398]~E(x13981,x13982)+E(f133(x13983,x13981),f133(x13983,x13982))
% 92.33/92.12 [1399]~E(x13991,x13992)+E(f636(x13991,x13993,x13994),f636(x13992,x13993,x13994))
% 92.33/92.12 [1400]~E(x14001,x14002)+E(f636(x14003,x14001,x14004),f636(x14003,x14002,x14004))
% 92.33/92.12 [1401]~E(x14011,x14012)+E(f636(x14013,x14014,x14011),f636(x14013,x14014,x14012))
% 92.33/92.12 [1402]~E(x14021,x14022)+E(f540(x14021,x14023),f540(x14022,x14023))
% 92.33/92.12 [1403]~E(x14031,x14032)+E(f540(x14033,x14031),f540(x14033,x14032))
% 92.33/92.12 [1404]~E(x14041,x14042)+E(f446(x14041,x14043,x14044),f446(x14042,x14043,x14044))
% 92.33/92.12 [1405]~E(x14051,x14052)+E(f446(x14053,x14051,x14054),f446(x14053,x14052,x14054))
% 92.33/92.12 [1406]~E(x14061,x14062)+E(f446(x14063,x14064,x14061),f446(x14063,x14064,x14062))
% 92.33/92.12 [1407]~E(x14071,x14072)+E(f759(x14071,x14073,x14074,x14075),f759(x14072,x14073,x14074,x14075))
% 92.33/92.12 [1408]~E(x14081,x14082)+E(f759(x14083,x14081,x14084,x14085),f759(x14083,x14082,x14084,x14085))
% 92.33/92.12 [1409]~E(x14091,x14092)+E(f759(x14093,x14094,x14091,x14095),f759(x14093,x14094,x14092,x14095))
% 92.33/92.12 [1410]~E(x14101,x14102)+E(f759(x14103,x14104,x14105,x14101),f759(x14103,x14104,x14105,x14102))
% 92.33/92.12 [1411]~E(x14111,x14112)+E(f823(x14111,x14113,x14114,x14115),f823(x14112,x14113,x14114,x14115))
% 92.33/92.12 [1412]~E(x14121,x14122)+E(f823(x14123,x14121,x14124,x14125),f823(x14123,x14122,x14124,x14125))
% 92.33/92.12 [1413]~E(x14131,x14132)+E(f823(x14133,x14134,x14131,x14135),f823(x14133,x14134,x14132,x14135))
% 92.33/92.12 [1414]~E(x14141,x14142)+E(f823(x14143,x14144,x14145,x14141),f823(x14143,x14144,x14145,x14142))
% 92.33/92.12 [1415]~E(x14151,x14152)+E(f541(x14151,x14153),f541(x14152,x14153))
% 92.33/92.12 [1416]~E(x14161,x14162)+E(f541(x14163,x14161),f541(x14163,x14162))
% 92.33/92.12 [1417]~E(x14171,x14172)+E(f866(x14171,x14173,x14174),f866(x14172,x14173,x14174))
% 92.33/92.12 [1418]~E(x14181,x14182)+E(f866(x14183,x14181,x14184),f866(x14183,x14182,x14184))
% 92.33/92.12 [1419]~E(x14191,x14192)+E(f866(x14193,x14194,x14191),f866(x14193,x14194,x14192))
% 92.33/92.12 [1420]~E(x14201,x14202)+E(f724(x14201,x14203,x14204,x14205,x14206),f724(x14202,x14203,x14204,x14205,x14206))
% 92.33/92.12 [1421]~E(x14211,x14212)+E(f724(x14213,x14211,x14214,x14215,x14216),f724(x14213,x14212,x14214,x14215,x14216))
% 92.33/92.12 [1422]~E(x14221,x14222)+E(f724(x14223,x14224,x14221,x14225,x14226),f724(x14223,x14224,x14222,x14225,x14226))
% 92.33/92.12 [1423]~E(x14231,x14232)+E(f724(x14233,x14234,x14235,x14231,x14236),f724(x14233,x14234,x14235,x14232,x14236))
% 92.33/92.12 [1424]~E(x14241,x14242)+E(f724(x14243,x14244,x14245,x14246,x14241),f724(x14243,x14244,x14245,x14246,x14242))
% 92.33/92.12 [1425]~E(x14251,x14252)+E(f629(x14251,x14253,x14254,x14255,x14256),f629(x14252,x14253,x14254,x14255,x14256))
% 92.33/92.12 [1426]~E(x14261,x14262)+E(f629(x14263,x14261,x14264,x14265,x14266),f629(x14263,x14262,x14264,x14265,x14266))
% 92.33/92.12 [1427]~E(x14271,x14272)+E(f629(x14273,x14274,x14271,x14275,x14276),f629(x14273,x14274,x14272,x14275,x14276))
% 92.33/92.12 [1428]~E(x14281,x14282)+E(f629(x14283,x14284,x14285,x14281,x14286),f629(x14283,x14284,x14285,x14282,x14286))
% 92.33/92.12 [1429]~E(x14291,x14292)+E(f629(x14293,x14294,x14295,x14296,x14291),f629(x14293,x14294,x14295,x14296,x14292))
% 92.33/92.12 [1430]~E(x14301,x14302)+E(f156(x14301,x14303,x14304),f156(x14302,x14303,x14304))
% 92.33/92.12 [1431]~E(x14311,x14312)+E(f156(x14313,x14311,x14314),f156(x14313,x14312,x14314))
% 92.33/92.12 [1432]~E(x14321,x14322)+E(f156(x14323,x14324,x14321),f156(x14323,x14324,x14322))
% 92.33/92.12 [1433]~E(x14331,x14332)+E(f878(x14331,x14333,x14334),f878(x14332,x14333,x14334))
% 92.33/92.12 [1434]~E(x14341,x14342)+E(f878(x14343,x14341,x14344),f878(x14343,x14342,x14344))
% 92.33/92.12 [1435]~E(x14351,x14352)+E(f878(x14353,x14354,x14351),f878(x14353,x14354,x14352))
% 92.33/92.12 [1436]~E(x14361,x14362)+E(f328(x14361,x14363,x14364),f328(x14362,x14363,x14364))
% 92.33/92.12 [1437]~E(x14371,x14372)+E(f328(x14373,x14371,x14374),f328(x14373,x14372,x14374))
% 92.33/92.12 [1438]~E(x14381,x14382)+E(f328(x14383,x14384,x14381),f328(x14383,x14384,x14382))
% 92.33/92.12 [1439]~E(x14391,x14392)+E(f145(x14391,x14393,x14394),f145(x14392,x14393,x14394))
% 92.33/92.12 [1440]~E(x14401,x14402)+E(f145(x14403,x14401,x14404),f145(x14403,x14402,x14404))
% 92.33/92.12 [1441]~E(x14411,x14412)+E(f145(x14413,x14414,x14411),f145(x14413,x14414,x14412))
% 92.33/92.12 [1442]~E(x14421,x14422)+E(f194(x14421),f194(x14422))
% 92.33/92.12 [1443]~E(x14431,x14432)+E(f662(x14431,x14433,x14434,x14435),f662(x14432,x14433,x14434,x14435))
% 92.33/92.12 [1444]~E(x14441,x14442)+E(f662(x14443,x14441,x14444,x14445),f662(x14443,x14442,x14444,x14445))
% 92.33/92.12 [1445]~E(x14451,x14452)+E(f662(x14453,x14454,x14451,x14455),f662(x14453,x14454,x14452,x14455))
% 92.33/92.12 [1446]~E(x14461,x14462)+E(f662(x14463,x14464,x14465,x14461),f662(x14463,x14464,x14465,x14462))
% 92.33/92.12 [1447]~E(x14471,x14472)+E(f664(x14471,x14473,x14474,x14475),f664(x14472,x14473,x14474,x14475))
% 92.33/92.12 [1448]~E(x14481,x14482)+E(f664(x14483,x14481,x14484,x14485),f664(x14483,x14482,x14484,x14485))
% 92.33/92.12 [1449]~E(x14491,x14492)+E(f664(x14493,x14494,x14491,x14495),f664(x14493,x14494,x14492,x14495))
% 92.33/92.12 [1450]~E(x14501,x14502)+E(f664(x14503,x14504,x14505,x14501),f664(x14503,x14504,x14505,x14502))
% 92.33/92.12 [1451]~E(x14511,x14512)+E(f766(x14511,x14513,x14514,x14515,x14516,x14517,x14518),f766(x14512,x14513,x14514,x14515,x14516,x14517,x14518))
% 92.33/92.12 [1452]~E(x14521,x14522)+E(f766(x14523,x14521,x14524,x14525,x14526,x14527,x14528),f766(x14523,x14522,x14524,x14525,x14526,x14527,x14528))
% 92.33/92.12 [1453]~E(x14531,x14532)+E(f766(x14533,x14534,x14531,x14535,x14536,x14537,x14538),f766(x14533,x14534,x14532,x14535,x14536,x14537,x14538))
% 92.33/92.12 [1454]~E(x14541,x14542)+E(f766(x14543,x14544,x14545,x14541,x14546,x14547,x14548),f766(x14543,x14544,x14545,x14542,x14546,x14547,x14548))
% 92.33/92.12 [1455]~E(x14551,x14552)+E(f766(x14553,x14554,x14555,x14556,x14551,x14557,x14558),f766(x14553,x14554,x14555,x14556,x14552,x14557,x14558))
% 92.33/92.12 [1456]~E(x14561,x14562)+E(f766(x14563,x14564,x14565,x14566,x14567,x14561,x14568),f766(x14563,x14564,x14565,x14566,x14567,x14562,x14568))
% 92.33/92.12 [1457]~E(x14571,x14572)+E(f766(x14573,x14574,x14575,x14576,x14577,x14578,x14571),f766(x14573,x14574,x14575,x14576,x14577,x14578,x14572))
% 92.33/92.12 [1458]~E(x14581,x14582)+E(f213(x14581,x14583,x14584,x14585,x14586),f213(x14582,x14583,x14584,x14585,x14586))
% 92.33/92.12 [1459]~E(x14591,x14592)+E(f213(x14593,x14591,x14594,x14595,x14596),f213(x14593,x14592,x14594,x14595,x14596))
% 92.33/92.12 [1460]~E(x14601,x14602)+E(f213(x14603,x14604,x14601,x14605,x14606),f213(x14603,x14604,x14602,x14605,x14606))
% 92.33/92.12 [1461]~E(x14611,x14612)+E(f213(x14613,x14614,x14615,x14611,x14616),f213(x14613,x14614,x14615,x14612,x14616))
% 92.33/92.12 [1462]~E(x14621,x14622)+E(f213(x14623,x14624,x14625,x14626,x14621),f213(x14623,x14624,x14625,x14626,x14622))
% 92.33/92.12 [1463]~E(x14631,x14632)+E(f485(x14631,x14633,x14634,x14635),f485(x14632,x14633,x14634,x14635))
% 92.33/92.12 [1464]~E(x14641,x14642)+E(f485(x14643,x14641,x14644,x14645),f485(x14643,x14642,x14644,x14645))
% 92.33/92.12 [1465]~E(x14651,x14652)+E(f485(x14653,x14654,x14651,x14655),f485(x14653,x14654,x14652,x14655))
% 92.33/92.12 [1466]~E(x14661,x14662)+E(f485(x14663,x14664,x14665,x14661),f485(x14663,x14664,x14665,x14662))
% 92.33/92.12 [1467]~E(x14671,x14672)+E(f391(x14671,x14673,x14674,x14675,x14676),f391(x14672,x14673,x14674,x14675,x14676))
% 92.33/92.12 [1468]~E(x14681,x14682)+E(f391(x14683,x14681,x14684,x14685,x14686),f391(x14683,x14682,x14684,x14685,x14686))
% 92.33/92.12 [1469]~E(x14691,x14692)+E(f391(x14693,x14694,x14691,x14695,x14696),f391(x14693,x14694,x14692,x14695,x14696))
% 92.33/92.12 [1470]~E(x14701,x14702)+E(f391(x14703,x14704,x14705,x14701,x14706),f391(x14703,x14704,x14705,x14702,x14706))
% 92.33/92.12 [1471]~E(x14711,x14712)+E(f391(x14713,x14714,x14715,x14716,x14711),f391(x14713,x14714,x14715,x14716,x14712))
% 92.33/92.12 [1472]~E(x14721,x14722)+E(f371(x14721,x14723),f371(x14722,x14723))
% 92.33/92.12 [1473]~E(x14731,x14732)+E(f371(x14733,x14731),f371(x14733,x14732))
% 92.33/92.12 [1474]~E(x14741,x14742)+E(f622(x14741,x14743,x14744,x14745),f622(x14742,x14743,x14744,x14745))
% 92.33/92.12 [1475]~E(x14751,x14752)+E(f622(x14753,x14751,x14754,x14755),f622(x14753,x14752,x14754,x14755))
% 92.33/92.12 [1476]~E(x14761,x14762)+E(f622(x14763,x14764,x14761,x14765),f622(x14763,x14764,x14762,x14765))
% 92.33/92.12 [1477]~E(x14771,x14772)+E(f622(x14773,x14774,x14775,x14771),f622(x14773,x14774,x14775,x14772))
% 92.33/92.12 [1478]~E(x14781,x14782)+E(f791(x14781,x14783,x14784,x14785,x14786),f791(x14782,x14783,x14784,x14785,x14786))
% 92.33/92.12 [1479]~E(x14791,x14792)+E(f791(x14793,x14791,x14794,x14795,x14796),f791(x14793,x14792,x14794,x14795,x14796))
% 92.33/92.12 [1480]~E(x14801,x14802)+E(f791(x14803,x14804,x14801,x14805,x14806),f791(x14803,x14804,x14802,x14805,x14806))
% 92.33/92.12 [1481]~E(x14811,x14812)+E(f791(x14813,x14814,x14815,x14811,x14816),f791(x14813,x14814,x14815,x14812,x14816))
% 92.33/92.12 [1482]~E(x14821,x14822)+E(f791(x14823,x14824,x14825,x14826,x14821),f791(x14823,x14824,x14825,x14826,x14822))
% 92.33/92.12 [1483]~E(x14831,x14832)+E(f590(x14831,x14833,x14834),f590(x14832,x14833,x14834))
% 92.33/92.12 [1484]~E(x14841,x14842)+E(f590(x14843,x14841,x14844),f590(x14843,x14842,x14844))
% 92.33/92.12 [1485]~E(x14851,x14852)+E(f590(x14853,x14854,x14851),f590(x14853,x14854,x14852))
% 92.33/92.12 [1486]~E(x14861,x14862)+E(f673(x14861,x14863,x14864,x14865,x14866),f673(x14862,x14863,x14864,x14865,x14866))
% 92.33/92.12 [1487]~E(x14871,x14872)+E(f673(x14873,x14871,x14874,x14875,x14876),f673(x14873,x14872,x14874,x14875,x14876))
% 92.33/92.12 [1488]~E(x14881,x14882)+E(f673(x14883,x14884,x14881,x14885,x14886),f673(x14883,x14884,x14882,x14885,x14886))
% 92.33/92.12 [1489]~E(x14891,x14892)+E(f673(x14893,x14894,x14895,x14891,x14896),f673(x14893,x14894,x14895,x14892,x14896))
% 92.33/92.12 [1490]~E(x14901,x14902)+E(f673(x14903,x14904,x14905,x14906,x14901),f673(x14903,x14904,x14905,x14906,x14902))
% 92.33/92.12 [1491]~E(x14911,x14912)+E(f499(x14911,x14913,x14914),f499(x14912,x14913,x14914))
% 92.33/92.12 [1492]~E(x14921,x14922)+E(f499(x14923,x14921,x14924),f499(x14923,x14922,x14924))
% 92.33/92.12 [1493]~E(x14931,x14932)+E(f499(x14933,x14934,x14931),f499(x14933,x14934,x14932))
% 92.33/92.12 [1494]~E(x14941,x14942)+E(f63(x14941,x14943,x14944),f63(x14942,x14943,x14944))
% 92.33/92.12 [1495]~E(x14951,x14952)+E(f63(x14953,x14951,x14954),f63(x14953,x14952,x14954))
% 92.33/92.12 [1496]~E(x14961,x14962)+E(f63(x14963,x14964,x14961),f63(x14963,x14964,x14962))
% 92.33/92.12 [1497]~E(x14971,x14972)+E(f829(x14971,x14973,x14974,x14975,x14976,x14977),f829(x14972,x14973,x14974,x14975,x14976,x14977))
% 92.33/92.12 [1498]~E(x14981,x14982)+E(f829(x14983,x14981,x14984,x14985,x14986,x14987),f829(x14983,x14982,x14984,x14985,x14986,x14987))
% 92.33/92.12 [1499]~E(x14991,x14992)+E(f829(x14993,x14994,x14991,x14995,x14996,x14997),f829(x14993,x14994,x14992,x14995,x14996,x14997))
% 92.33/92.12 [1500]~E(x15001,x15002)+E(f829(x15003,x15004,x15005,x15001,x15006,x15007),f829(x15003,x15004,x15005,x15002,x15006,x15007))
% 92.33/92.12 [1501]~E(x15011,x15012)+E(f829(x15013,x15014,x15015,x15016,x15011,x15017),f829(x15013,x15014,x15015,x15016,x15012,x15017))
% 92.33/92.12 [1502]~E(x15021,x15022)+E(f829(x15023,x15024,x15025,x15026,x15027,x15021),f829(x15023,x15024,x15025,x15026,x15027,x15022))
% 92.33/92.12 [1503]~E(x15031,x15032)+E(f570(x15031,x15033,x15034),f570(x15032,x15033,x15034))
% 92.33/92.12 [1504]~E(x15041,x15042)+E(f570(x15043,x15041,x15044),f570(x15043,x15042,x15044))
% 92.33/92.12 [1505]~E(x15051,x15052)+E(f570(x15053,x15054,x15051),f570(x15053,x15054,x15052))
% 92.33/92.12 [1506]~E(x15061,x15062)+E(f473(x15061,x15063,x15064),f473(x15062,x15063,x15064))
% 92.33/92.12 [1507]~E(x15071,x15072)+E(f473(x15073,x15071,x15074),f473(x15073,x15072,x15074))
% 92.33/92.12 [1508]~E(x15081,x15082)+E(f473(x15083,x15084,x15081),f473(x15083,x15084,x15082))
% 92.33/92.12 [1509]~E(x15091,x15092)+E(f614(x15091,x15093,x15094),f614(x15092,x15093,x15094))
% 92.33/92.12 [1510]~E(x15101,x15102)+E(f614(x15103,x15101,x15104),f614(x15103,x15102,x15104))
% 92.33/92.12 [1511]~E(x15111,x15112)+E(f614(x15113,x15114,x15111),f614(x15113,x15114,x15112))
% 92.33/92.12 [1512]~E(x15121,x15122)+E(f198(x15121),f198(x15122))
% 92.33/92.12 [1513]~E(x15131,x15132)+E(f449(x15131,x15133),f449(x15132,x15133))
% 92.33/92.12 [1514]~E(x15141,x15142)+E(f449(x15143,x15141),f449(x15143,x15142))
% 92.33/92.12 [1515]~E(x15151,x15152)+E(f401(x15151,x15153),f401(x15152,x15153))
% 92.33/92.12 [1516]~E(x15161,x15162)+E(f401(x15163,x15161),f401(x15163,x15162))
% 92.33/92.12 [1517]~E(x15171,x15172)+E(f781(x15171,x15173),f781(x15172,x15173))
% 92.33/92.12 [1518]~E(x15181,x15182)+E(f781(x15183,x15181),f781(x15183,x15182))
% 92.33/92.12 [1519]~E(x15191,x15192)+E(f713(x15191,x15193,x15194,x15195),f713(x15192,x15193,x15194,x15195))
% 92.33/92.12 [1520]~E(x15201,x15202)+E(f713(x15203,x15201,x15204,x15205),f713(x15203,x15202,x15204,x15205))
% 92.33/92.12 [1521]~E(x15211,x15212)+E(f713(x15213,x15214,x15211,x15215),f713(x15213,x15214,x15212,x15215))
% 92.33/92.12 [1522]~E(x15221,x15222)+E(f713(x15223,x15224,x15225,x15221),f713(x15223,x15224,x15225,x15222))
% 92.33/92.12 [1523]~E(x15231,x15232)+E(f239(x15231,x15233,x15234),f239(x15232,x15233,x15234))
% 92.33/92.12 [1524]~E(x15241,x15242)+E(f239(x15243,x15241,x15244),f239(x15243,x15242,x15244))
% 92.33/92.12 [1525]~E(x15251,x15252)+E(f239(x15253,x15254,x15251),f239(x15253,x15254,x15252))
% 92.33/92.12 [1526]~E(x15261,x15262)+E(f619(x15261,x15263,x15264,x15265,x15266,x15267),f619(x15262,x15263,x15264,x15265,x15266,x15267))
% 92.33/92.12 [1527]~E(x15271,x15272)+E(f619(x15273,x15271,x15274,x15275,x15276,x15277),f619(x15273,x15272,x15274,x15275,x15276,x15277))
% 92.33/92.12 [1528]~E(x15281,x15282)+E(f619(x15283,x15284,x15281,x15285,x15286,x15287),f619(x15283,x15284,x15282,x15285,x15286,x15287))
% 92.33/92.12 [1529]~E(x15291,x15292)+E(f619(x15293,x15294,x15295,x15291,x15296,x15297),f619(x15293,x15294,x15295,x15292,x15296,x15297))
% 92.33/92.12 [1530]~E(x15301,x15302)+E(f619(x15303,x15304,x15305,x15306,x15301,x15307),f619(x15303,x15304,x15305,x15306,x15302,x15307))
% 92.33/92.12 [1531]~E(x15311,x15312)+E(f619(x15313,x15314,x15315,x15316,x15317,x15311),f619(x15313,x15314,x15315,x15316,x15317,x15312))
% 92.33/92.12 [1532]~E(x15321,x15322)+E(f837(x15321,x15323,x15324),f837(x15322,x15323,x15324))
% 92.33/92.12 [1533]~E(x15331,x15332)+E(f837(x15333,x15331,x15334),f837(x15333,x15332,x15334))
% 92.33/92.12 [1534]~E(x15341,x15342)+E(f837(x15343,x15344,x15341),f837(x15343,x15344,x15342))
% 92.33/92.12 [1535]~E(x15351,x15352)+E(f561(x15351,x15353,x15354,x15355,x15356,x15357),f561(x15352,x15353,x15354,x15355,x15356,x15357))
% 92.33/92.12 [1536]~E(x15361,x15362)+E(f561(x15363,x15361,x15364,x15365,x15366,x15367),f561(x15363,x15362,x15364,x15365,x15366,x15367))
% 92.33/92.12 [1537]~E(x15371,x15372)+E(f561(x15373,x15374,x15371,x15375,x15376,x15377),f561(x15373,x15374,x15372,x15375,x15376,x15377))
% 92.33/92.12 [1538]~E(x15381,x15382)+E(f561(x15383,x15384,x15385,x15381,x15386,x15387),f561(x15383,x15384,x15385,x15382,x15386,x15387))
% 92.33/92.12 [1539]~E(x15391,x15392)+E(f561(x15393,x15394,x15395,x15396,x15391,x15397),f561(x15393,x15394,x15395,x15396,x15392,x15397))
% 92.33/92.12 [1540]~E(x15401,x15402)+E(f561(x15403,x15404,x15405,x15406,x15407,x15401),f561(x15403,x15404,x15405,x15406,x15407,x15402))
% 92.33/92.12 [1541]~E(x15411,x15412)+E(f633(x15411,x15413,x15414),f633(x15412,x15413,x15414))
% 92.33/92.12 [1542]~E(x15421,x15422)+E(f633(x15423,x15421,x15424),f633(x15423,x15422,x15424))
% 92.33/92.12 [1543]~E(x15431,x15432)+E(f633(x15433,x15434,x15431),f633(x15433,x15434,x15432))
% 92.33/92.12 [1544]~E(x15441,x15442)+E(f620(x15441,x15443,x15444,x15445,x15446,x15447),f620(x15442,x15443,x15444,x15445,x15446,x15447))
% 92.33/92.12 [1545]~E(x15451,x15452)+E(f620(x15453,x15451,x15454,x15455,x15456,x15457),f620(x15453,x15452,x15454,x15455,x15456,x15457))
% 92.33/92.12 [1546]~E(x15461,x15462)+E(f620(x15463,x15464,x15461,x15465,x15466,x15467),f620(x15463,x15464,x15462,x15465,x15466,x15467))
% 92.33/92.12 [1547]~E(x15471,x15472)+E(f620(x15473,x15474,x15475,x15471,x15476,x15477),f620(x15473,x15474,x15475,x15472,x15476,x15477))
% 92.33/92.12 [1548]~E(x15481,x15482)+E(f620(x15483,x15484,x15485,x15486,x15481,x15487),f620(x15483,x15484,x15485,x15486,x15482,x15487))
% 92.33/92.12 [1549]~E(x15491,x15492)+E(f620(x15493,x15494,x15495,x15496,x15497,x15491),f620(x15493,x15494,x15495,x15496,x15497,x15492))
% 92.33/92.12 [1550]~E(x15501,x15502)+E(f539(x15501,x15503,x15504,x15505),f539(x15502,x15503,x15504,x15505))
% 92.33/92.12 [1551]~E(x15511,x15512)+E(f539(x15513,x15511,x15514,x15515),f539(x15513,x15512,x15514,x15515))
% 92.33/92.12 [1552]~E(x15521,x15522)+E(f539(x15523,x15524,x15521,x15525),f539(x15523,x15524,x15522,x15525))
% 92.33/92.12 [1553]~E(x15531,x15532)+E(f539(x15533,x15534,x15535,x15531),f539(x15533,x15534,x15535,x15532))
% 92.33/92.12 [1554]~E(x15541,x15542)+E(f456(x15541,x15543,x15544,x15545),f456(x15542,x15543,x15544,x15545))
% 92.33/92.12 [1555]~E(x15551,x15552)+E(f456(x15553,x15551,x15554,x15555),f456(x15553,x15552,x15554,x15555))
% 92.33/92.12 [1556]~E(x15561,x15562)+E(f456(x15563,x15564,x15561,x15565),f456(x15563,x15564,x15562,x15565))
% 92.33/92.12 [1557]~E(x15571,x15572)+E(f456(x15573,x15574,x15575,x15571),f456(x15573,x15574,x15575,x15572))
% 92.33/92.12 [1558]~E(x15581,x15582)+E(f656(x15581,x15583,x15584),f656(x15582,x15583,x15584))
% 92.33/92.12 [1559]~E(x15591,x15592)+E(f656(x15593,x15591,x15594),f656(x15593,x15592,x15594))
% 92.33/92.12 [1560]~E(x15601,x15602)+E(f656(x15603,x15604,x15601),f656(x15603,x15604,x15602))
% 92.33/92.12 [1561]~E(x15611,x15612)+E(f706(x15611,x15613,x15614,x15615),f706(x15612,x15613,x15614,x15615))
% 92.33/92.12 [1562]~E(x15621,x15622)+E(f706(x15623,x15621,x15624,x15625),f706(x15623,x15622,x15624,x15625))
% 92.33/92.12 [1563]~E(x15631,x15632)+E(f706(x15633,x15634,x15631,x15635),f706(x15633,x15634,x15632,x15635))
% 92.33/92.12 [1564]~E(x15641,x15642)+E(f706(x15643,x15644,x15645,x15641),f706(x15643,x15644,x15645,x15642))
% 92.33/92.12 [1565]~E(x15651,x15652)+E(f479(x15651,x15653),f479(x15652,x15653))
% 92.33/92.12 [1566]~E(x15661,x15662)+E(f479(x15663,x15661),f479(x15663,x15662))
% 92.33/92.12 [1567]~E(x15671,x15672)+E(f399(x15671,x15673,x15674,x15675),f399(x15672,x15673,x15674,x15675))
% 92.33/92.12 [1568]~E(x15681,x15682)+E(f399(x15683,x15681,x15684,x15685),f399(x15683,x15682,x15684,x15685))
% 92.33/92.12 [1569]~E(x15691,x15692)+E(f399(x15693,x15694,x15691,x15695),f399(x15693,x15694,x15692,x15695))
% 92.33/92.12 [1570]~E(x15701,x15702)+E(f399(x15703,x15704,x15705,x15701),f399(x15703,x15704,x15705,x15702))
% 92.33/92.12 [1571]~E(x15711,x15712)+E(f302(x15711,x15713),f302(x15712,x15713))
% 92.33/92.12 [1572]~E(x15721,x15722)+E(f302(x15723,x15721),f302(x15723,x15722))
% 92.33/92.12 [1573]~E(x15731,x15732)+E(f468(x15731,x15733,x15734,x15735,x15736),f468(x15732,x15733,x15734,x15735,x15736))
% 92.33/92.12 [1574]~E(x15741,x15742)+E(f468(x15743,x15741,x15744,x15745,x15746),f468(x15743,x15742,x15744,x15745,x15746))
% 92.33/92.12 [1575]~E(x15751,x15752)+E(f468(x15753,x15754,x15751,x15755,x15756),f468(x15753,x15754,x15752,x15755,x15756))
% 92.33/92.12 [1576]~E(x15761,x15762)+E(f468(x15763,x15764,x15765,x15761,x15766),f468(x15763,x15764,x15765,x15762,x15766))
% 92.33/92.12 [1577]~E(x15771,x15772)+E(f468(x15773,x15774,x15775,x15776,x15771),f468(x15773,x15774,x15775,x15776,x15772))
% 92.33/92.12 [1578]~E(x15781,x15782)+E(f795(x15781,x15783),f795(x15782,x15783))
% 92.33/92.12 [1579]~E(x15791,x15792)+E(f795(x15793,x15791),f795(x15793,x15792))
% 92.33/92.12 [1580]~E(x15801,x15802)+E(f396(x15801,x15803,x15804,x15805),f396(x15802,x15803,x15804,x15805))
% 92.33/92.12 [1581]~E(x15811,x15812)+E(f396(x15813,x15811,x15814,x15815),f396(x15813,x15812,x15814,x15815))
% 92.33/92.12 [1582]~E(x15821,x15822)+E(f396(x15823,x15824,x15821,x15825),f396(x15823,x15824,x15822,x15825))
% 92.33/92.12 [1583]~E(x15831,x15832)+E(f396(x15833,x15834,x15835,x15831),f396(x15833,x15834,x15835,x15832))
% 92.33/92.12 [1584]~E(x15841,x15842)+E(f748(x15841,x15843,x15844),f748(x15842,x15843,x15844))
% 92.33/92.12 [1585]~E(x15851,x15852)+E(f748(x15853,x15851,x15854),f748(x15853,x15852,x15854))
% 92.33/92.12 [1586]~E(x15861,x15862)+E(f748(x15863,x15864,x15861),f748(x15863,x15864,x15862))
% 92.33/92.12 [1587]~E(x15871,x15872)+E(f606(x15871,x15873,x15874,x15875,x15876),f606(x15872,x15873,x15874,x15875,x15876))
% 92.33/92.12 [1588]~E(x15881,x15882)+E(f606(x15883,x15881,x15884,x15885,x15886),f606(x15883,x15882,x15884,x15885,x15886))
% 92.33/92.12 [1589]~E(x15891,x15892)+E(f606(x15893,x15894,x15891,x15895,x15896),f606(x15893,x15894,x15892,x15895,x15896))
% 92.33/92.12 [1590]~E(x15901,x15902)+E(f606(x15903,x15904,x15905,x15901,x15906),f606(x15903,x15904,x15905,x15902,x15906))
% 92.33/92.12 [1591]~E(x15911,x15912)+E(f606(x15913,x15914,x15915,x15916,x15911),f606(x15913,x15914,x15915,x15916,x15912))
% 92.33/92.12 [1592]~E(x15921,x15922)+E(f440(x15921,x15923,x15924,x15925,x15926),f440(x15922,x15923,x15924,x15925,x15926))
% 92.33/92.12 [1593]~E(x15931,x15932)+E(f440(x15933,x15931,x15934,x15935,x15936),f440(x15933,x15932,x15934,x15935,x15936))
% 92.33/92.12 [1594]~E(x15941,x15942)+E(f440(x15943,x15944,x15941,x15945,x15946),f440(x15943,x15944,x15942,x15945,x15946))
% 92.33/92.12 [1595]~E(x15951,x15952)+E(f440(x15953,x15954,x15955,x15951,x15956),f440(x15953,x15954,x15955,x15952,x15956))
% 92.33/92.12 [1596]~E(x15961,x15962)+E(f440(x15963,x15964,x15965,x15966,x15961),f440(x15963,x15964,x15965,x15966,x15962))
% 92.33/92.12 [1597]~E(x15971,x15972)+E(f814(x15971,x15973,x15974,x15975,x15976,x15977),f814(x15972,x15973,x15974,x15975,x15976,x15977))
% 92.33/92.12 [1598]~E(x15981,x15982)+E(f814(x15983,x15981,x15984,x15985,x15986,x15987),f814(x15983,x15982,x15984,x15985,x15986,x15987))
% 92.33/92.12 [1599]~E(x15991,x15992)+E(f814(x15993,x15994,x15991,x15995,x15996,x15997),f814(x15993,x15994,x15992,x15995,x15996,x15997))
% 92.33/92.12 [1600]~E(x16001,x16002)+E(f814(x16003,x16004,x16005,x16001,x16006,x16007),f814(x16003,x16004,x16005,x16002,x16006,x16007))
% 92.33/92.12 [1601]~E(x16011,x16012)+E(f814(x16013,x16014,x16015,x16016,x16011,x16017),f814(x16013,x16014,x16015,x16016,x16012,x16017))
% 92.33/92.12 [1602]~E(x16021,x16022)+E(f814(x16023,x16024,x16025,x16026,x16027,x16021),f814(x16023,x16024,x16025,x16026,x16027,x16022))
% 92.33/92.12 [1603]~E(x16031,x16032)+E(f112(x16031,x16033,x16034,x16035),f112(x16032,x16033,x16034,x16035))
% 92.33/92.12 [1604]~E(x16041,x16042)+E(f112(x16043,x16041,x16044,x16045),f112(x16043,x16042,x16044,x16045))
% 92.33/92.12 [1605]~E(x16051,x16052)+E(f112(x16053,x16054,x16051,x16055),f112(x16053,x16054,x16052,x16055))
% 92.33/92.12 [1606]~E(x16061,x16062)+E(f112(x16063,x16064,x16065,x16061),f112(x16063,x16064,x16065,x16062))
% 92.33/92.12 [1607]~E(x16071,x16072)+E(f412(x16071,x16073,x16074,x16075),f412(x16072,x16073,x16074,x16075))
% 92.33/92.12 [1608]~E(x16081,x16082)+E(f412(x16083,x16081,x16084,x16085),f412(x16083,x16082,x16084,x16085))
% 92.33/92.12 [1609]~E(x16091,x16092)+E(f412(x16093,x16094,x16091,x16095),f412(x16093,x16094,x16092,x16095))
% 92.33/92.12 [1610]~E(x16101,x16102)+E(f412(x16103,x16104,x16105,x16101),f412(x16103,x16104,x16105,x16102))
% 92.33/92.12 [1611]~E(x16111,x16112)+E(f227(x16111,x16113),f227(x16112,x16113))
% 92.33/92.12 [1612]~E(x16121,x16122)+E(f227(x16123,x16121),f227(x16123,x16122))
% 92.33/92.12 [1613]~E(x16131,x16132)+E(f828(x16131,x16133,x16134,x16135,x16136,x16137,x16138,x16139),f828(x16132,x16133,x16134,x16135,x16136,x16137,x16138,x16139))
% 92.33/92.12 [1614]~E(x16141,x16142)+E(f828(x16143,x16141,x16144,x16145,x16146,x16147,x16148,x16149),f828(x16143,x16142,x16144,x16145,x16146,x16147,x16148,x16149))
% 92.33/92.12 [1615]~E(x16151,x16152)+E(f828(x16153,x16154,x16151,x16155,x16156,x16157,x16158,x16159),f828(x16153,x16154,x16152,x16155,x16156,x16157,x16158,x16159))
% 92.33/92.12 [1616]~E(x16161,x16162)+E(f828(x16163,x16164,x16165,x16161,x16166,x16167,x16168,x16169),f828(x16163,x16164,x16165,x16162,x16166,x16167,x16168,x16169))
% 92.33/92.12 [1617]~E(x16171,x16172)+E(f828(x16173,x16174,x16175,x16176,x16171,x16177,x16178,x16179),f828(x16173,x16174,x16175,x16176,x16172,x16177,x16178,x16179))
% 92.33/92.12 [1618]~E(x16181,x16182)+E(f828(x16183,x16184,x16185,x16186,x16187,x16181,x16188,x16189),f828(x16183,x16184,x16185,x16186,x16187,x16182,x16188,x16189))
% 92.33/92.12 [1619]~E(x16191,x16192)+E(f828(x16193,x16194,x16195,x16196,x16197,x16198,x16191,x16199),f828(x16193,x16194,x16195,x16196,x16197,x16198,x16192,x16199))
% 92.33/92.12 [1620]~E(x16201,x16202)+E(f828(x16203,x16204,x16205,x16206,x16207,x16208,x16209,x16201),f828(x16203,x16204,x16205,x16206,x16207,x16208,x16209,x16202))
% 92.33/92.12 [1621]~E(x16211,x16212)+E(f107(x16211,x16213,x16214),f107(x16212,x16213,x16214))
% 92.33/92.12 [1622]~E(x16221,x16222)+E(f107(x16223,x16221,x16224),f107(x16223,x16222,x16224))
% 92.33/92.12 [1623]~E(x16231,x16232)+E(f107(x16233,x16234,x16231),f107(x16233,x16234,x16232))
% 92.33/92.12 [1624]~E(x16241,x16242)+E(f621(x16241,x16243),f621(x16242,x16243))
% 92.33/92.12 [1625]~E(x16251,x16252)+E(f621(x16253,x16251),f621(x16253,x16252))
% 92.33/92.12 [1626]~E(x16261,x16262)+E(f658(x16261,x16263),f658(x16262,x16263))
% 92.33/92.12 [1627]~E(x16271,x16272)+E(f658(x16273,x16271),f658(x16273,x16272))
% 92.33/92.12 [1628]~E(x16281,x16282)+E(f405(x16281,x16283,x16284),f405(x16282,x16283,x16284))
% 92.33/92.12 [1629]~E(x16291,x16292)+E(f405(x16293,x16291,x16294),f405(x16293,x16292,x16294))
% 92.33/92.12 [1630]~E(x16301,x16302)+E(f405(x16303,x16304,x16301),f405(x16303,x16304,x16302))
% 92.33/92.12 [1631]~E(x16311,x16312)+E(f810(x16311,x16313,x16314,x16315),f810(x16312,x16313,x16314,x16315))
% 92.33/92.12 [1632]~E(x16321,x16322)+E(f810(x16323,x16321,x16324,x16325),f810(x16323,x16322,x16324,x16325))
% 92.33/92.12 [1633]~E(x16331,x16332)+E(f810(x16333,x16334,x16331,x16335),f810(x16333,x16334,x16332,x16335))
% 92.33/92.12 [1634]~E(x16341,x16342)+E(f810(x16343,x16344,x16345,x16341),f810(x16343,x16344,x16345,x16342))
% 92.33/92.12 [1635]~E(x16351,x16352)+E(f751(x16351,x16353,x16354),f751(x16352,x16353,x16354))
% 92.33/92.12 [1636]~E(x16361,x16362)+E(f751(x16363,x16361,x16364),f751(x16363,x16362,x16364))
% 92.33/92.12 [1637]~E(x16371,x16372)+E(f751(x16373,x16374,x16371),f751(x16373,x16374,x16372))
% 92.33/92.12 [1638]~E(x16381,x16382)+E(f516(x16381,x16383,x16384,x16385,x16386,x16387),f516(x16382,x16383,x16384,x16385,x16386,x16387))
% 92.33/92.12 [1639]~E(x16391,x16392)+E(f516(x16393,x16391,x16394,x16395,x16396,x16397),f516(x16393,x16392,x16394,x16395,x16396,x16397))
% 92.33/92.12 [1640]~E(x16401,x16402)+E(f516(x16403,x16404,x16401,x16405,x16406,x16407),f516(x16403,x16404,x16402,x16405,x16406,x16407))
% 92.33/92.12 [1641]~E(x16411,x16412)+E(f516(x16413,x16414,x16415,x16411,x16416,x16417),f516(x16413,x16414,x16415,x16412,x16416,x16417))
% 92.33/92.12 [1642]~E(x16421,x16422)+E(f516(x16423,x16424,x16425,x16426,x16421,x16427),f516(x16423,x16424,x16425,x16426,x16422,x16427))
% 92.33/92.12 [1643]~E(x16431,x16432)+E(f516(x16433,x16434,x16435,x16436,x16437,x16431),f516(x16433,x16434,x16435,x16436,x16437,x16432))
% 92.33/92.12 [1644]~E(x16441,x16442)+E(f504(x16441,x16443,x16444,x16445,x16446,x16447),f504(x16442,x16443,x16444,x16445,x16446,x16447))
% 92.33/92.12 [1645]~E(x16451,x16452)+E(f504(x16453,x16451,x16454,x16455,x16456,x16457),f504(x16453,x16452,x16454,x16455,x16456,x16457))
% 92.33/92.12 [1646]~E(x16461,x16462)+E(f504(x16463,x16464,x16461,x16465,x16466,x16467),f504(x16463,x16464,x16462,x16465,x16466,x16467))
% 92.33/92.12 [1647]~E(x16471,x16472)+E(f504(x16473,x16474,x16475,x16471,x16476,x16477),f504(x16473,x16474,x16475,x16472,x16476,x16477))
% 92.33/92.12 [1648]~E(x16481,x16482)+E(f504(x16483,x16484,x16485,x16486,x16481,x16487),f504(x16483,x16484,x16485,x16486,x16482,x16487))
% 92.33/92.12 [1649]~E(x16491,x16492)+E(f504(x16493,x16494,x16495,x16496,x16497,x16491),f504(x16493,x16494,x16495,x16496,x16497,x16492))
% 92.33/92.12 [1650]~E(x16501,x16502)+E(f484(x16501,x16503,x16504),f484(x16502,x16503,x16504))
% 92.33/92.12 [1651]~E(x16511,x16512)+E(f484(x16513,x16511,x16514),f484(x16513,x16512,x16514))
% 92.33/92.12 [1652]~E(x16521,x16522)+E(f484(x16523,x16524,x16521),f484(x16523,x16524,x16522))
% 92.33/92.12 [1653]~E(x16531,x16532)+E(f646(x16531,x16533,x16534,x16535),f646(x16532,x16533,x16534,x16535))
% 92.33/92.12 [1654]~E(x16541,x16542)+E(f646(x16543,x16541,x16544,x16545),f646(x16543,x16542,x16544,x16545))
% 92.33/92.12 [1655]~E(x16551,x16552)+E(f646(x16553,x16554,x16551,x16555),f646(x16553,x16554,x16552,x16555))
% 92.33/92.12 [1656]~E(x16561,x16562)+E(f646(x16563,x16564,x16565,x16561),f646(x16563,x16564,x16565,x16562))
% 92.33/92.12 [1657]~E(x16571,x16572)+E(f843(x16571,x16573),f843(x16572,x16573))
% 92.33/92.12 [1658]~E(x16581,x16582)+E(f843(x16583,x16581),f843(x16583,x16582))
% 92.33/92.12 [1659]~E(x16591,x16592)+E(f593(x16591,x16593,x16594,x16595,x16596),f593(x16592,x16593,x16594,x16595,x16596))
% 92.33/92.12 [1660]~E(x16601,x16602)+E(f593(x16603,x16601,x16604,x16605,x16606),f593(x16603,x16602,x16604,x16605,x16606))
% 92.33/92.12 [1661]~E(x16611,x16612)+E(f593(x16613,x16614,x16611,x16615,x16616),f593(x16613,x16614,x16612,x16615,x16616))
% 92.33/92.12 [1662]~E(x16621,x16622)+E(f593(x16623,x16624,x16625,x16621,x16626),f593(x16623,x16624,x16625,x16622,x16626))
% 92.33/92.12 [1663]~E(x16631,x16632)+E(f593(x16633,x16634,x16635,x16636,x16631),f593(x16633,x16634,x16635,x16636,x16632))
% 92.33/92.12 [1664]~E(x16641,x16642)+E(f548(x16641),f548(x16642))
% 92.33/92.12 [1665]~E(x16651,x16652)+E(f778(x16651,x16653,x16654,x16655,x16656,x16657,x16658),f778(x16652,x16653,x16654,x16655,x16656,x16657,x16658))
% 92.33/92.12 [1666]~E(x16661,x16662)+E(f778(x16663,x16661,x16664,x16665,x16666,x16667,x16668),f778(x16663,x16662,x16664,x16665,x16666,x16667,x16668))
% 92.33/92.12 [1667]~E(x16671,x16672)+E(f778(x16673,x16674,x16671,x16675,x16676,x16677,x16678),f778(x16673,x16674,x16672,x16675,x16676,x16677,x16678))
% 92.33/92.12 [1668]~E(x16681,x16682)+E(f778(x16683,x16684,x16685,x16681,x16686,x16687,x16688),f778(x16683,x16684,x16685,x16682,x16686,x16687,x16688))
% 92.33/92.12 [1669]~E(x16691,x16692)+E(f778(x16693,x16694,x16695,x16696,x16691,x16697,x16698),f778(x16693,x16694,x16695,x16696,x16692,x16697,x16698))
% 92.33/92.12 [1670]~E(x16701,x16702)+E(f778(x16703,x16704,x16705,x16706,x16707,x16701,x16708),f778(x16703,x16704,x16705,x16706,x16707,x16702,x16708))
% 92.33/92.12 [1671]~E(x16711,x16712)+E(f778(x16713,x16714,x16715,x16716,x16717,x16718,x16711),f778(x16713,x16714,x16715,x16716,x16717,x16718,x16712))
% 92.33/92.12 [1672]~E(x16721,x16722)+E(f410(x16721,x16723,x16724,x16725),f410(x16722,x16723,x16724,x16725))
% 92.33/92.12 [1673]~E(x16731,x16732)+E(f410(x16733,x16731,x16734,x16735),f410(x16733,x16732,x16734,x16735))
% 92.33/92.12 [1674]~E(x16741,x16742)+E(f410(x16743,x16744,x16741,x16745),f410(x16743,x16744,x16742,x16745))
% 92.33/92.12 [1675]~E(x16751,x16752)+E(f410(x16753,x16754,x16755,x16751),f410(x16753,x16754,x16755,x16752))
% 92.33/92.12 [1676]~E(x16761,x16762)+E(f577(x16761,x16763,x16764),f577(x16762,x16763,x16764))
% 92.33/92.12 [1677]~E(x16771,x16772)+E(f577(x16773,x16771,x16774),f577(x16773,x16772,x16774))
% 92.33/92.12 [1678]~E(x16781,x16782)+E(f577(x16783,x16784,x16781),f577(x16783,x16784,x16782))
% 92.33/92.12 [1679]~E(x16791,x16792)+E(f404(x16791,x16793,x16794),f404(x16792,x16793,x16794))
% 92.33/92.12 [1680]~E(x16801,x16802)+E(f404(x16803,x16801,x16804),f404(x16803,x16802,x16804))
% 92.33/92.12 [1681]~E(x16811,x16812)+E(f404(x16813,x16814,x16811),f404(x16813,x16814,x16812))
% 92.33/92.12 [1682]~E(x16821,x16822)+E(f562(x16821,x16823,x16824),f562(x16822,x16823,x16824))
% 92.33/92.12 [1683]~E(x16831,x16832)+E(f562(x16833,x16831,x16834),f562(x16833,x16832,x16834))
% 92.33/92.12 [1684]~E(x16841,x16842)+E(f562(x16843,x16844,x16841),f562(x16843,x16844,x16842))
% 92.33/92.12 [1685]~E(x16851,x16852)+E(f530(x16851,x16853,x16854,x16855),f530(x16852,x16853,x16854,x16855))
% 92.33/92.12 [1686]~E(x16861,x16862)+E(f530(x16863,x16861,x16864,x16865),f530(x16863,x16862,x16864,x16865))
% 92.33/92.12 [1687]~E(x16871,x16872)+E(f530(x16873,x16874,x16871,x16875),f530(x16873,x16874,x16872,x16875))
% 92.33/92.12 [1688]~E(x16881,x16882)+E(f530(x16883,x16884,x16885,x16881),f530(x16883,x16884,x16885,x16882))
% 92.33/92.12 [1689]~E(x16891,x16892)+E(f644(x16891,x16893),f644(x16892,x16893))
% 92.33/92.12 [1690]~E(x16901,x16902)+E(f644(x16903,x16901),f644(x16903,x16902))
% 92.33/92.12 [1691]~E(x16911,x16912)+E(f737(x16911,x16913,x16914),f737(x16912,x16913,x16914))
% 92.33/92.12 [1692]~E(x16921,x16922)+E(f737(x16923,x16921,x16924),f737(x16923,x16922,x16924))
% 92.33/92.12 [1693]~E(x16931,x16932)+E(f737(x16933,x16934,x16931),f737(x16933,x16934,x16932))
% 92.33/92.12 [1694]~E(x16941,x16942)+E(f369(x16941,x16943,x16944,x16945,x16946),f369(x16942,x16943,x16944,x16945,x16946))
% 92.33/92.12 [1695]~E(x16951,x16952)+E(f369(x16953,x16951,x16954,x16955,x16956),f369(x16953,x16952,x16954,x16955,x16956))
% 92.33/92.12 [1696]~E(x16961,x16962)+E(f369(x16963,x16964,x16961,x16965,x16966),f369(x16963,x16964,x16962,x16965,x16966))
% 92.33/92.12 [1697]~E(x16971,x16972)+E(f369(x16973,x16974,x16975,x16971,x16976),f369(x16973,x16974,x16975,x16972,x16976))
% 92.33/92.12 [1698]~E(x16981,x16982)+E(f369(x16983,x16984,x16985,x16986,x16981),f369(x16983,x16984,x16985,x16986,x16982))
% 92.33/92.12 [1699]~E(x16991,x16992)+E(f568(x16991,x16993,x16994,x16995,x16996,x16997),f568(x16992,x16993,x16994,x16995,x16996,x16997))
% 92.33/92.12 [1700]~E(x17001,x17002)+E(f568(x17003,x17001,x17004,x17005,x17006,x17007),f568(x17003,x17002,x17004,x17005,x17006,x17007))
% 92.33/92.12 [1701]~E(x17011,x17012)+E(f568(x17013,x17014,x17011,x17015,x17016,x17017),f568(x17013,x17014,x17012,x17015,x17016,x17017))
% 92.33/92.12 [1702]~E(x17021,x17022)+E(f568(x17023,x17024,x17025,x17021,x17026,x17027),f568(x17023,x17024,x17025,x17022,x17026,x17027))
% 92.33/92.12 [1703]~E(x17031,x17032)+E(f568(x17033,x17034,x17035,x17036,x17031,x17037),f568(x17033,x17034,x17035,x17036,x17032,x17037))
% 92.33/92.12 [1704]~E(x17041,x17042)+E(f568(x17043,x17044,x17045,x17046,x17047,x17041),f568(x17043,x17044,x17045,x17046,x17047,x17042))
% 92.33/92.12 [1705]~E(x17051,x17052)+E(f462(x17051,x17053,x17054,x17055),f462(x17052,x17053,x17054,x17055))
% 92.33/92.12 [1706]~E(x17061,x17062)+E(f462(x17063,x17061,x17064,x17065),f462(x17063,x17062,x17064,x17065))
% 92.33/92.12 [1707]~E(x17071,x17072)+E(f462(x17073,x17074,x17071,x17075),f462(x17073,x17074,x17072,x17075))
% 92.33/92.12 [1708]~E(x17081,x17082)+E(f462(x17083,x17084,x17085,x17081),f462(x17083,x17084,x17085,x17082))
% 92.33/92.12 [1709]~E(x17091,x17092)+E(f615(x17091,x17093),f615(x17092,x17093))
% 92.33/92.12 [1710]~E(x17101,x17102)+E(f615(x17103,x17101),f615(x17103,x17102))
% 92.33/92.12 [1711]~E(x17111,x17112)+E(f348(x17111,x17113,x17114),f348(x17112,x17113,x17114))
% 92.33/92.12 [1712]~E(x17121,x17122)+E(f348(x17123,x17121,x17124),f348(x17123,x17122,x17124))
% 92.33/92.12 [1713]~E(x17131,x17132)+E(f348(x17133,x17134,x17131),f348(x17133,x17134,x17132))
% 92.33/92.12 [1714]~E(x17141,x17142)+E(f787(x17141,x17143),f787(x17142,x17143))
% 92.33/92.12 [1715]~E(x17151,x17152)+E(f787(x17153,x17151),f787(x17153,x17152))
% 92.33/92.12 [1716]~E(x17161,x17162)+E(f455(x17161,x17163,x17164,x17165),f455(x17162,x17163,x17164,x17165))
% 92.33/92.12 [1717]~E(x17171,x17172)+E(f455(x17173,x17171,x17174,x17175),f455(x17173,x17172,x17174,x17175))
% 92.33/92.12 [1718]~E(x17181,x17182)+E(f455(x17183,x17184,x17181,x17185),f455(x17183,x17184,x17182,x17185))
% 92.33/92.12 [1719]~E(x17191,x17192)+E(f455(x17193,x17194,x17195,x17191),f455(x17193,x17194,x17195,x17192))
% 92.33/92.12 [1720]~E(x17201,x17202)+E(f50(x17201,x17203),f50(x17202,x17203))
% 92.33/92.12 [1721]~E(x17211,x17212)+E(f50(x17213,x17211),f50(x17213,x17212))
% 92.33/92.12 [1722]~E(x17221,x17222)+E(f214(x17221,x17223,x17224,x17225,x17226),f214(x17222,x17223,x17224,x17225,x17226))
% 92.33/92.12 [1723]~E(x17231,x17232)+E(f214(x17233,x17231,x17234,x17235,x17236),f214(x17233,x17232,x17234,x17235,x17236))
% 92.33/92.12 [1724]~E(x17241,x17242)+E(f214(x17243,x17244,x17241,x17245,x17246),f214(x17243,x17244,x17242,x17245,x17246))
% 92.33/92.12 [1725]~E(x17251,x17252)+E(f214(x17253,x17254,x17255,x17251,x17256),f214(x17253,x17254,x17255,x17252,x17256))
% 92.33/92.12 [1726]~E(x17261,x17262)+E(f214(x17263,x17264,x17265,x17266,x17261),f214(x17263,x17264,x17265,x17266,x17262))
% 92.33/92.12 [1727]~E(x17271,x17272)+E(f826(x17271,x17273,x17274,x17275,x17276,x17277,x17278,x17279),f826(x17272,x17273,x17274,x17275,x17276,x17277,x17278,x17279))
% 92.33/92.12 [1728]~E(x17281,x17282)+E(f826(x17283,x17281,x17284,x17285,x17286,x17287,x17288,x17289),f826(x17283,x17282,x17284,x17285,x17286,x17287,x17288,x17289))
% 92.33/92.12 [1729]~E(x17291,x17292)+E(f826(x17293,x17294,x17291,x17295,x17296,x17297,x17298,x17299),f826(x17293,x17294,x17292,x17295,x17296,x17297,x17298,x17299))
% 92.33/92.12 [1730]~E(x17301,x17302)+E(f826(x17303,x17304,x17305,x17301,x17306,x17307,x17308,x17309),f826(x17303,x17304,x17305,x17302,x17306,x17307,x17308,x17309))
% 92.33/92.12 [1731]~E(x17311,x17312)+E(f826(x17313,x17314,x17315,x17316,x17311,x17317,x17318,x17319),f826(x17313,x17314,x17315,x17316,x17312,x17317,x17318,x17319))
% 92.33/92.12 [1732]~E(x17321,x17322)+E(f826(x17323,x17324,x17325,x17326,x17327,x17321,x17328,x17329),f826(x17323,x17324,x17325,x17326,x17327,x17322,x17328,x17329))
% 92.33/92.12 [1733]~E(x17331,x17332)+E(f826(x17333,x17334,x17335,x17336,x17337,x17338,x17331,x17339),f826(x17333,x17334,x17335,x17336,x17337,x17338,x17332,x17339))
% 92.33/92.12 [1734]~E(x17341,x17342)+E(f826(x17343,x17344,x17345,x17346,x17347,x17348,x17349,x17341),f826(x17343,x17344,x17345,x17346,x17347,x17348,x17349,x17342))
% 92.33/92.12 [1735]~E(x17351,x17352)+E(f226(x17351,x17353),f226(x17352,x17353))
% 92.33/92.12 [1736]~E(x17361,x17362)+E(f226(x17363,x17361),f226(x17363,x17362))
% 92.33/92.12 [1737]~E(x17371,x17372)+E(f330(x17371,x17373),f330(x17372,x17373))
% 92.33/92.12 [1738]~E(x17381,x17382)+E(f330(x17383,x17381),f330(x17383,x17382))
% 92.33/92.12 [1739]~E(x17391,x17392)+E(f187(x17391,x17393,x17394,x17395),f187(x17392,x17393,x17394,x17395))
% 92.33/92.12 [1740]~E(x17401,x17402)+E(f187(x17403,x17401,x17404,x17405),f187(x17403,x17402,x17404,x17405))
% 92.33/92.12 [1741]~E(x17411,x17412)+E(f187(x17413,x17414,x17411,x17415),f187(x17413,x17414,x17412,x17415))
% 92.33/92.12 [1742]~E(x17421,x17422)+E(f187(x17423,x17424,x17425,x17421),f187(x17423,x17424,x17425,x17422))
% 92.33/92.12 [1743]~E(x17431,x17432)+E(f627(x17431,x17433,x17434,x17435),f627(x17432,x17433,x17434,x17435))
% 92.33/92.12 [1744]~E(x17441,x17442)+E(f627(x17443,x17441,x17444,x17445),f627(x17443,x17442,x17444,x17445))
% 92.33/92.12 [1745]~E(x17451,x17452)+E(f627(x17453,x17454,x17451,x17455),f627(x17453,x17454,x17452,x17455))
% 92.33/92.12 [1746]~E(x17461,x17462)+E(f627(x17463,x17464,x17465,x17461),f627(x17463,x17464,x17465,x17462))
% 92.33/92.12 [1747]~E(x17471,x17472)+E(f471(x17471,x17473,x17474,x17475,x17476),f471(x17472,x17473,x17474,x17475,x17476))
% 92.33/92.12 [1748]~E(x17481,x17482)+E(f471(x17483,x17481,x17484,x17485,x17486),f471(x17483,x17482,x17484,x17485,x17486))
% 92.33/92.12 [1749]~E(x17491,x17492)+E(f471(x17493,x17494,x17491,x17495,x17496),f471(x17493,x17494,x17492,x17495,x17496))
% 92.33/92.12 [1750]~E(x17501,x17502)+E(f471(x17503,x17504,x17505,x17501,x17506),f471(x17503,x17504,x17505,x17502,x17506))
% 92.33/92.12 [1751]~E(x17511,x17512)+E(f471(x17513,x17514,x17515,x17516,x17511),f471(x17513,x17514,x17515,x17516,x17512))
% 92.33/92.12 [1752]~E(x17521,x17522)+E(f481(x17521,x17523,x17524),f481(x17522,x17523,x17524))
% 92.33/92.12 [1753]~E(x17531,x17532)+E(f481(x17533,x17531,x17534),f481(x17533,x17532,x17534))
% 92.33/92.12 [1754]~E(x17541,x17542)+E(f481(x17543,x17544,x17541),f481(x17543,x17544,x17542))
% 92.33/92.12 [1755]~E(x17551,x17552)+E(f347(x17551,x17553,x17554,x17555),f347(x17552,x17553,x17554,x17555))
% 92.33/92.12 [1756]~E(x17561,x17562)+E(f347(x17563,x17561,x17564,x17565),f347(x17563,x17562,x17564,x17565))
% 92.33/92.12 [1757]~E(x17571,x17572)+E(f347(x17573,x17574,x17571,x17575),f347(x17573,x17574,x17572,x17575))
% 92.33/92.12 [1758]~E(x17581,x17582)+E(f347(x17583,x17584,x17585,x17581),f347(x17583,x17584,x17585,x17582))
% 92.33/92.12 [1759]~E(x17591,x17592)+E(f519(x17591,x17593),f519(x17592,x17593))
% 92.33/92.12 [1760]~E(x17601,x17602)+E(f519(x17603,x17601),f519(x17603,x17602))
% 92.33/92.12 [1761]~E(x17611,x17612)+E(f776(x17611,x17613,x17614,x17615),f776(x17612,x17613,x17614,x17615))
% 92.33/92.12 [1762]~E(x17621,x17622)+E(f776(x17623,x17621,x17624,x17625),f776(x17623,x17622,x17624,x17625))
% 92.33/92.12 [1763]~E(x17631,x17632)+E(f776(x17633,x17634,x17631,x17635),f776(x17633,x17634,x17632,x17635))
% 92.33/92.12 [1764]~E(x17641,x17642)+E(f776(x17643,x17644,x17645,x17641),f776(x17643,x17644,x17645,x17642))
% 92.33/92.12 [1765]~E(x17651,x17652)+E(f617(x17651,x17653,x17654,x17655),f617(x17652,x17653,x17654,x17655))
% 92.33/92.12 [1766]~E(x17661,x17662)+E(f617(x17663,x17661,x17664,x17665),f617(x17663,x17662,x17664,x17665))
% 92.33/92.12 [1767]~E(x17671,x17672)+E(f617(x17673,x17674,x17671,x17675),f617(x17673,x17674,x17672,x17675))
% 92.33/92.12 [1768]~E(x17681,x17682)+E(f617(x17683,x17684,x17685,x17681),f617(x17683,x17684,x17685,x17682))
% 92.33/92.12 [1769]~E(x17691,x17692)+E(f435(x17691,x17693,x17694),f435(x17692,x17693,x17694))
% 92.33/92.12 [1770]~E(x17701,x17702)+E(f435(x17703,x17701,x17704),f435(x17703,x17702,x17704))
% 92.33/92.12 [1771]~E(x17711,x17712)+E(f435(x17713,x17714,x17711),f435(x17713,x17714,x17712))
% 92.33/92.12 [1772]~E(x17721,x17722)+E(f721(x17721,x17723,x17724,x17725,x17726),f721(x17722,x17723,x17724,x17725,x17726))
% 92.33/92.12 [1773]~E(x17731,x17732)+E(f721(x17733,x17731,x17734,x17735,x17736),f721(x17733,x17732,x17734,x17735,x17736))
% 92.33/92.12 [1774]~E(x17741,x17742)+E(f721(x17743,x17744,x17741,x17745,x17746),f721(x17743,x17744,x17742,x17745,x17746))
% 92.33/92.12 [1775]~E(x17751,x17752)+E(f721(x17753,x17754,x17755,x17751,x17756),f721(x17753,x17754,x17755,x17752,x17756))
% 92.33/92.12 [1776]~E(x17761,x17762)+E(f721(x17763,x17764,x17765,x17766,x17761),f721(x17763,x17764,x17765,x17766,x17762))
% 92.33/92.12 [1777]~E(x17771,x17772)+E(f825(x17771,x17773,x17774,x17775,x17776,x17777,x17778,x17779),f825(x17772,x17773,x17774,x17775,x17776,x17777,x17778,x17779))
% 92.33/92.12 [1778]~E(x17781,x17782)+E(f825(x17783,x17781,x17784,x17785,x17786,x17787,x17788,x17789),f825(x17783,x17782,x17784,x17785,x17786,x17787,x17788,x17789))
% 92.33/92.12 [1779]~E(x17791,x17792)+E(f825(x17793,x17794,x17791,x17795,x17796,x17797,x17798,x17799),f825(x17793,x17794,x17792,x17795,x17796,x17797,x17798,x17799))
% 92.33/92.12 [1780]~E(x17801,x17802)+E(f825(x17803,x17804,x17805,x17801,x17806,x17807,x17808,x17809),f825(x17803,x17804,x17805,x17802,x17806,x17807,x17808,x17809))
% 92.33/92.12 [1781]~E(x17811,x17812)+E(f825(x17813,x17814,x17815,x17816,x17811,x17817,x17818,x17819),f825(x17813,x17814,x17815,x17816,x17812,x17817,x17818,x17819))
% 92.33/92.12 [1782]~E(x17821,x17822)+E(f825(x17823,x17824,x17825,x17826,x17827,x17821,x17828,x17829),f825(x17823,x17824,x17825,x17826,x17827,x17822,x17828,x17829))
% 92.33/92.12 [1783]~E(x17831,x17832)+E(f825(x17833,x17834,x17835,x17836,x17837,x17838,x17831,x17839),f825(x17833,x17834,x17835,x17836,x17837,x17838,x17832,x17839))
% 92.33/92.12 [1784]~E(x17841,x17842)+E(f825(x17843,x17844,x17845,x17846,x17847,x17848,x17849,x17841),f825(x17843,x17844,x17845,x17846,x17847,x17848,x17849,x17842))
% 92.33/92.12 [1785]~E(x17851,x17852)+E(f618(x17851,x17853,x17854,x17855,x17856,x17857),f618(x17852,x17853,x17854,x17855,x17856,x17857))
% 92.33/92.12 [1786]~E(x17861,x17862)+E(f618(x17863,x17861,x17864,x17865,x17866,x17867),f618(x17863,x17862,x17864,x17865,x17866,x17867))
% 92.33/92.12 [1787]~E(x17871,x17872)+E(f618(x17873,x17874,x17871,x17875,x17876,x17877),f618(x17873,x17874,x17872,x17875,x17876,x17877))
% 92.33/92.12 [1788]~E(x17881,x17882)+E(f618(x17883,x17884,x17885,x17881,x17886,x17887),f618(x17883,x17884,x17885,x17882,x17886,x17887))
% 92.33/92.12 [1789]~E(x17891,x17892)+E(f618(x17893,x17894,x17895,x17896,x17891,x17897),f618(x17893,x17894,x17895,x17896,x17892,x17897))
% 92.33/92.12 [1790]~E(x17901,x17902)+E(f618(x17903,x17904,x17905,x17906,x17907,x17901),f618(x17903,x17904,x17905,x17906,x17907,x17902))
% 92.33/92.12 [1791]~E(x17911,x17912)+E(f379(x17911,x17913,x17914,x17915),f379(x17912,x17913,x17914,x17915))
% 92.33/92.12 [1792]~E(x17921,x17922)+E(f379(x17923,x17921,x17924,x17925),f379(x17923,x17922,x17924,x17925))
% 92.33/92.12 [1793]~E(x17931,x17932)+E(f379(x17933,x17934,x17931,x17935),f379(x17933,x17934,x17932,x17935))
% 92.33/92.12 [1794]~E(x17941,x17942)+E(f379(x17943,x17944,x17945,x17941),f379(x17943,x17944,x17945,x17942))
% 92.33/92.12 [1795]~E(x17951,x17952)+E(f553(x17951,x17953,x17954),f553(x17952,x17953,x17954))
% 92.33/92.12 [1796]~E(x17961,x17962)+E(f553(x17963,x17961,x17964),f553(x17963,x17962,x17964))
% 92.33/92.12 [1797]~E(x17971,x17972)+E(f553(x17973,x17974,x17971),f553(x17973,x17974,x17972))
% 92.33/92.12 [1798]~E(x17981,x17982)+E(f631(x17981,x17983,x17984,x17985,x17986),f631(x17982,x17983,x17984,x17985,x17986))
% 92.33/92.12 [1799]~E(x17991,x17992)+E(f631(x17993,x17991,x17994,x17995,x17996),f631(x17993,x17992,x17994,x17995,x17996))
% 92.33/92.12 [1800]~E(x18001,x18002)+E(f631(x18003,x18004,x18001,x18005,x18006),f631(x18003,x18004,x18002,x18005,x18006))
% 92.33/92.12 [1801]~E(x18011,x18012)+E(f631(x18013,x18014,x18015,x18011,x18016),f631(x18013,x18014,x18015,x18012,x18016))
% 92.33/92.12 [1802]~E(x18021,x18022)+E(f631(x18023,x18024,x18025,x18026,x18021),f631(x18023,x18024,x18025,x18026,x18022))
% 92.33/92.12 [1803]~E(x18031,x18032)+E(f559(x18031,x18033,x18034,x18035,x18036,x18037),f559(x18032,x18033,x18034,x18035,x18036,x18037))
% 92.33/92.12 [1804]~E(x18041,x18042)+E(f559(x18043,x18041,x18044,x18045,x18046,x18047),f559(x18043,x18042,x18044,x18045,x18046,x18047))
% 92.33/92.12 [1805]~E(x18051,x18052)+E(f559(x18053,x18054,x18051,x18055,x18056,x18057),f559(x18053,x18054,x18052,x18055,x18056,x18057))
% 92.33/92.12 [1806]~E(x18061,x18062)+E(f559(x18063,x18064,x18065,x18061,x18066,x18067),f559(x18063,x18064,x18065,x18062,x18066,x18067))
% 92.33/92.12 [1807]~E(x18071,x18072)+E(f559(x18073,x18074,x18075,x18076,x18071,x18077),f559(x18073,x18074,x18075,x18076,x18072,x18077))
% 92.33/92.12 [1808]~E(x18081,x18082)+E(f559(x18083,x18084,x18085,x18086,x18087,x18081),f559(x18083,x18084,x18085,x18086,x18087,x18082))
% 92.33/92.12 [1809]~E(x18091,x18092)+E(f653(x18091,x18093,x18094,x18095,x18096),f653(x18092,x18093,x18094,x18095,x18096))
% 92.33/92.12 [1810]~E(x18101,x18102)+E(f653(x18103,x18101,x18104,x18105,x18106),f653(x18103,x18102,x18104,x18105,x18106))
% 92.33/92.12 [1811]~E(x18111,x18112)+E(f653(x18113,x18114,x18111,x18115,x18116),f653(x18113,x18114,x18112,x18115,x18116))
% 92.33/92.12 [1812]~E(x18121,x18122)+E(f653(x18123,x18124,x18125,x18121,x18126),f653(x18123,x18124,x18125,x18122,x18126))
% 92.33/92.12 [1813]~E(x18131,x18132)+E(f653(x18133,x18134,x18135,x18136,x18131),f653(x18133,x18134,x18135,x18136,x18132))
% 92.33/92.12 [1814]~E(x18141,x18142)+E(f691(x18141,x18143,x18144),f691(x18142,x18143,x18144))
% 92.33/92.12 [1815]~E(x18151,x18152)+E(f691(x18153,x18151,x18154),f691(x18153,x18152,x18154))
% 92.33/92.12 [1816]~E(x18161,x18162)+E(f691(x18163,x18164,x18161),f691(x18163,x18164,x18162))
% 92.33/92.12 [1817]~E(x18171,x18172)+E(f82(x18171),f82(x18172))
% 92.33/92.12 [1818]~E(x18181,x18182)+E(f767(x18181,x18183,x18184,x18185,x18186,x18187,x18188),f767(x18182,x18183,x18184,x18185,x18186,x18187,x18188))
% 92.33/92.12 [1819]~E(x18191,x18192)+E(f767(x18193,x18191,x18194,x18195,x18196,x18197,x18198),f767(x18193,x18192,x18194,x18195,x18196,x18197,x18198))
% 92.33/92.12 [1820]~E(x18201,x18202)+E(f767(x18203,x18204,x18201,x18205,x18206,x18207,x18208),f767(x18203,x18204,x18202,x18205,x18206,x18207,x18208))
% 92.33/92.12 [1821]~E(x18211,x18212)+E(f767(x18213,x18214,x18215,x18211,x18216,x18217,x18218),f767(x18213,x18214,x18215,x18212,x18216,x18217,x18218))
% 92.33/92.12 [1822]~E(x18221,x18222)+E(f767(x18223,x18224,x18225,x18226,x18221,x18227,x18228),f767(x18223,x18224,x18225,x18226,x18222,x18227,x18228))
% 92.33/92.12 [1823]~E(x18231,x18232)+E(f767(x18233,x18234,x18235,x18236,x18237,x18231,x18238),f767(x18233,x18234,x18235,x18236,x18237,x18232,x18238))
% 92.33/92.12 [1824]~E(x18241,x18242)+E(f767(x18243,x18244,x18245,x18246,x18247,x18248,x18241),f767(x18243,x18244,x18245,x18246,x18247,x18248,x18242))
% 92.33/92.12 [1825]~E(x18251,x18252)+E(f808(x18251,x18253,x18254,x18255,x18256),f808(x18252,x18253,x18254,x18255,x18256))
% 92.33/92.12 [1826]~E(x18261,x18262)+E(f808(x18263,x18261,x18264,x18265,x18266),f808(x18263,x18262,x18264,x18265,x18266))
% 92.33/92.12 [1827]~E(x18271,x18272)+E(f808(x18273,x18274,x18271,x18275,x18276),f808(x18273,x18274,x18272,x18275,x18276))
% 92.33/92.12 [1828]~E(x18281,x18282)+E(f808(x18283,x18284,x18285,x18281,x18286),f808(x18283,x18284,x18285,x18282,x18286))
% 92.33/92.12 [1829]~E(x18291,x18292)+E(f808(x18293,x18294,x18295,x18296,x18291),f808(x18293,x18294,x18295,x18296,x18292))
% 92.33/92.12 [1830]~E(x18301,x18302)+E(f720(x18301,x18303,x18304,x18305,x18306),f720(x18302,x18303,x18304,x18305,x18306))
% 92.33/92.12 [1831]~E(x18311,x18312)+E(f720(x18313,x18311,x18314,x18315,x18316),f720(x18313,x18312,x18314,x18315,x18316))
% 92.33/92.12 [1832]~E(x18321,x18322)+E(f720(x18323,x18324,x18321,x18325,x18326),f720(x18323,x18324,x18322,x18325,x18326))
% 92.33/92.12 [1833]~E(x18331,x18332)+E(f720(x18333,x18334,x18335,x18331,x18336),f720(x18333,x18334,x18335,x18332,x18336))
% 92.33/92.12 [1834]~E(x18341,x18342)+E(f720(x18343,x18344,x18345,x18346,x18341),f720(x18343,x18344,x18345,x18346,x18342))
% 92.33/92.12 [1835]~E(x18351,x18352)+E(f467(x18351,x18353,x18354,x18355),f467(x18352,x18353,x18354,x18355))
% 92.33/92.12 [1836]~E(x18361,x18362)+E(f467(x18363,x18361,x18364,x18365),f467(x18363,x18362,x18364,x18365))
% 92.33/92.12 [1837]~E(x18371,x18372)+E(f467(x18373,x18374,x18371,x18375),f467(x18373,x18374,x18372,x18375))
% 92.33/92.12 [1838]~E(x18381,x18382)+E(f467(x18383,x18384,x18385,x18381),f467(x18383,x18384,x18385,x18382))
% 92.33/92.12 [1839]~E(x18391,x18392)+E(f268(x18391),f268(x18392))
% 92.33/92.12 [1840]~E(x18401,x18402)+E(f641(x18401,x18403,x18404,x18405),f641(x18402,x18403,x18404,x18405))
% 92.33/92.12 [1841]~E(x18411,x18412)+E(f641(x18413,x18411,x18414,x18415),f641(x18413,x18412,x18414,x18415))
% 92.33/92.12 [1842]~E(x18421,x18422)+E(f641(x18423,x18424,x18421,x18425),f641(x18423,x18424,x18422,x18425))
% 92.33/92.12 [1843]~E(x18431,x18432)+E(f641(x18433,x18434,x18435,x18431),f641(x18433,x18434,x18435,x18432))
% 92.33/92.12 [1844]~E(x18441,x18442)+E(f576(x18441,x18443,x18444),f576(x18442,x18443,x18444))
% 92.33/92.12 [1845]~E(x18451,x18452)+E(f576(x18453,x18451,x18454),f576(x18453,x18452,x18454))
% 92.33/92.12 [1846]~E(x18461,x18462)+E(f576(x18463,x18464,x18461),f576(x18463,x18464,x18462))
% 92.33/92.12 [1847]~E(x18471,x18472)+E(f68(x18471,x18473),f68(x18472,x18473))
% 92.33/92.12 [1848]~E(x18481,x18482)+E(f68(x18483,x18481),f68(x18483,x18482))
% 92.33/92.12 [1849]~E(x18491,x18492)+E(f868(x18491,x18493,x18494),f868(x18492,x18493,x18494))
% 92.33/92.12 [1850]~E(x18501,x18502)+E(f868(x18503,x18501,x18504),f868(x18503,x18502,x18504))
% 92.33/92.12 [1851]~E(x18511,x18512)+E(f868(x18513,x18514,x18511),f868(x18513,x18514,x18512))
% 92.33/92.12 [1852]~E(x18521,x18522)+E(f712(x18521,x18523),f712(x18522,x18523))
% 92.33/92.12 [1853]~E(x18531,x18532)+E(f712(x18533,x18531),f712(x18533,x18532))
% 92.33/92.12 [1854]~E(x18541,x18542)+E(f600(x18541,x18543),f600(x18542,x18543))
% 92.33/92.12 [1855]~E(x18551,x18552)+E(f600(x18553,x18551),f600(x18553,x18552))
% 92.33/92.12 [1856]~E(x18561,x18562)+E(f352(x18561,x18563,x18564),f352(x18562,x18563,x18564))
% 92.33/92.12 [1857]~E(x18571,x18572)+E(f352(x18573,x18571,x18574),f352(x18573,x18572,x18574))
% 92.33/92.12 [1858]~E(x18581,x18582)+E(f352(x18583,x18584,x18581),f352(x18583,x18584,x18582))
% 92.33/92.12 [1859]~E(x18591,x18592)+E(f890(x18591,x18593,x18594),f890(x18592,x18593,x18594))
% 92.33/92.12 [1860]~E(x18601,x18602)+E(f890(x18603,x18601,x18604),f890(x18603,x18602,x18604))
% 92.33/92.12 [1861]~E(x18611,x18612)+E(f890(x18613,x18614,x18611),f890(x18613,x18614,x18612))
% 92.33/92.12 [1862]~E(x18621,x18622)+E(f544(x18621,x18623,x18624),f544(x18622,x18623,x18624))
% 92.33/92.12 [1863]~E(x18631,x18632)+E(f544(x18633,x18631,x18634),f544(x18633,x18632,x18634))
% 92.33/92.12 [1864]~E(x18641,x18642)+E(f544(x18643,x18644,x18641),f544(x18643,x18644,x18642))
% 92.33/92.12 [1865]~E(x18651,x18652)+E(f738(x18651,x18653,x18654),f738(x18652,x18653,x18654))
% 92.33/92.12 [1866]~E(x18661,x18662)+E(f738(x18663,x18661,x18664),f738(x18663,x18662,x18664))
% 92.33/92.12 [1867]~E(x18671,x18672)+E(f738(x18673,x18674,x18671),f738(x18673,x18674,x18672))
% 92.33/92.12 [1868]~E(x18681,x18682)+E(f376(x18681,x18683),f376(x18682,x18683))
% 92.33/92.12 [1869]~E(x18691,x18692)+E(f376(x18693,x18691),f376(x18693,x18692))
% 92.33/92.12 [1870]~E(x18701,x18702)+E(f537(x18701,x18703,x18704,x18705),f537(x18702,x18703,x18704,x18705))
% 92.33/92.12 [1871]~E(x18711,x18712)+E(f537(x18713,x18711,x18714,x18715),f537(x18713,x18712,x18714,x18715))
% 92.33/92.12 [1872]~E(x18721,x18722)+E(f537(x18723,x18724,x18721,x18725),f537(x18723,x18724,x18722,x18725))
% 92.33/92.12 [1873]~E(x18731,x18732)+E(f537(x18733,x18734,x18735,x18731),f537(x18733,x18734,x18735,x18732))
% 92.33/92.12 [1874]~E(x18741,x18742)+E(f864(x18741,x18743,x18744),f864(x18742,x18743,x18744))
% 92.33/92.12 [1875]~E(x18751,x18752)+E(f864(x18753,x18751,x18754),f864(x18753,x18752,x18754))
% 92.33/92.12 [1876]~E(x18761,x18762)+E(f864(x18763,x18764,x18761),f864(x18763,x18764,x18762))
% 92.33/92.12 [1877]~E(x18771,x18772)+E(f793(x18771,x18773,x18774,x18775,x18776,x18777),f793(x18772,x18773,x18774,x18775,x18776,x18777))
% 92.33/92.12 [1878]~E(x18781,x18782)+E(f793(x18783,x18781,x18784,x18785,x18786,x18787),f793(x18783,x18782,x18784,x18785,x18786,x18787))
% 92.33/92.12 [1879]~E(x18791,x18792)+E(f793(x18793,x18794,x18791,x18795,x18796,x18797),f793(x18793,x18794,x18792,x18795,x18796,x18797))
% 92.33/92.12 [1880]~E(x18801,x18802)+E(f793(x18803,x18804,x18805,x18801,x18806,x18807),f793(x18803,x18804,x18805,x18802,x18806,x18807))
% 92.33/92.12 [1881]~E(x18811,x18812)+E(f793(x18813,x18814,x18815,x18816,x18811,x18817),f793(x18813,x18814,x18815,x18816,x18812,x18817))
% 92.33/92.12 [1882]~E(x18821,x18822)+E(f793(x18823,x18824,x18825,x18826,x18827,x18821),f793(x18823,x18824,x18825,x18826,x18827,x18822))
% 92.33/92.12 [1883]~E(x18831,x18832)+E(f648(x18831,x18833),f648(x18832,x18833))
% 92.33/92.12 [1884]~E(x18841,x18842)+E(f648(x18843,x18841),f648(x18843,x18842))
% 92.33/92.12 [1885]~E(x18851,x18852)+E(f642(x18851,x18853,x18854,x18855,x18856),f642(x18852,x18853,x18854,x18855,x18856))
% 92.33/92.12 [1886]~E(x18861,x18862)+E(f642(x18863,x18861,x18864,x18865,x18866),f642(x18863,x18862,x18864,x18865,x18866))
% 92.33/92.12 [1887]~E(x18871,x18872)+E(f642(x18873,x18874,x18871,x18875,x18876),f642(x18873,x18874,x18872,x18875,x18876))
% 92.33/92.12 [1888]~E(x18881,x18882)+E(f642(x18883,x18884,x18885,x18881,x18886),f642(x18883,x18884,x18885,x18882,x18886))
% 92.33/92.12 [1889]~E(x18891,x18892)+E(f642(x18893,x18894,x18895,x18896,x18891),f642(x18893,x18894,x18895,x18896,x18892))
% 92.33/92.12 [1890]~E(x18901,x18902)+E(f850(x18901,x18903,x18904,x18905),f850(x18902,x18903,x18904,x18905))
% 92.33/92.12 [1891]~E(x18911,x18912)+E(f850(x18913,x18911,x18914,x18915),f850(x18913,x18912,x18914,x18915))
% 92.33/92.12 [1892]~E(x18921,x18922)+E(f850(x18923,x18924,x18921,x18925),f850(x18923,x18924,x18922,x18925))
% 92.33/92.12 [1893]~E(x18931,x18932)+E(f850(x18933,x18934,x18935,x18931),f850(x18933,x18934,x18935,x18932))
% 92.33/92.12 [1894]~E(x18941,x18942)+E(f786(x18941),f786(x18942))
% 92.33/92.12 [1895]~E(x18951,x18952)+E(f818(x18951,x18953,x18954,x18955,x18956,x18957,x18958,x18959),f818(x18952,x18953,x18954,x18955,x18956,x18957,x18958,x18959))
% 92.33/92.12 [1896]~E(x18961,x18962)+E(f818(x18963,x18961,x18964,x18965,x18966,x18967,x18968,x18969),f818(x18963,x18962,x18964,x18965,x18966,x18967,x18968,x18969))
% 92.33/92.12 [1897]~E(x18971,x18972)+E(f818(x18973,x18974,x18971,x18975,x18976,x18977,x18978,x18979),f818(x18973,x18974,x18972,x18975,x18976,x18977,x18978,x18979))
% 92.33/92.12 [1898]~E(x18981,x18982)+E(f818(x18983,x18984,x18985,x18981,x18986,x18987,x18988,x18989),f818(x18983,x18984,x18985,x18982,x18986,x18987,x18988,x18989))
% 92.33/92.12 [1899]~E(x18991,x18992)+E(f818(x18993,x18994,x18995,x18996,x18991,x18997,x18998,x18999),f818(x18993,x18994,x18995,x18996,x18992,x18997,x18998,x18999))
% 92.33/92.12 [1900]~E(x19001,x19002)+E(f818(x19003,x19004,x19005,x19006,x19007,x19001,x19008,x19009),f818(x19003,x19004,x19005,x19006,x19007,x19002,x19008,x19009))
% 92.33/92.12 [1901]~E(x19011,x19012)+E(f818(x19013,x19014,x19015,x19016,x19017,x19018,x19011,x19019),f818(x19013,x19014,x19015,x19016,x19017,x19018,x19012,x19019))
% 92.33/92.12 [1902]~E(x19021,x19022)+E(f818(x19023,x19024,x19025,x19026,x19027,x19028,x19029,x19021),f818(x19023,x19024,x19025,x19026,x19027,x19028,x19029,x19022))
% 92.33/92.12 [1903]~E(x19031,x19032)+E(f596(x19031,x19033,x19034,x19035,x19036),f596(x19032,x19033,x19034,x19035,x19036))
% 92.33/92.12 [1904]~E(x19041,x19042)+E(f596(x19043,x19041,x19044,x19045,x19046),f596(x19043,x19042,x19044,x19045,x19046))
% 92.33/92.12 [1905]~E(x19051,x19052)+E(f596(x19053,x19054,x19051,x19055,x19056),f596(x19053,x19054,x19052,x19055,x19056))
% 92.33/92.12 [1906]~E(x19061,x19062)+E(f596(x19063,x19064,x19065,x19061,x19066),f596(x19063,x19064,x19065,x19062,x19066))
% 92.33/92.12 [1907]~E(x19071,x19072)+E(f596(x19073,x19074,x19075,x19076,x19071),f596(x19073,x19074,x19075,x19076,x19072))
% 92.33/92.12 [1908]~E(x19081,x19082)+E(f758(x19081,x19083,x19084,x19085),f758(x19082,x19083,x19084,x19085))
% 92.33/92.12 [1909]~E(x19091,x19092)+E(f758(x19093,x19091,x19094,x19095),f758(x19093,x19092,x19094,x19095))
% 92.33/92.12 [1910]~E(x19101,x19102)+E(f758(x19103,x19104,x19101,x19105),f758(x19103,x19104,x19102,x19105))
% 92.33/92.12 [1911]~E(x19111,x19112)+E(f758(x19113,x19114,x19115,x19111),f758(x19113,x19114,x19115,x19112))
% 92.33/92.12 [1912]~E(x19121,x19122)+E(f870(x19121,x19123),f870(x19122,x19123))
% 92.33/92.12 [1913]~E(x19131,x19132)+E(f870(x19133,x19131),f870(x19133,x19132))
% 92.33/92.12 [1914]~E(x19141,x19142)+E(f566(x19141),f566(x19142))
% 92.33/92.12 [1915]~E(x19151,x19152)+E(f672(x19151,x19153,x19154,x19155,x19156),f672(x19152,x19153,x19154,x19155,x19156))
% 92.33/92.12 [1916]~E(x19161,x19162)+E(f672(x19163,x19161,x19164,x19165,x19166),f672(x19163,x19162,x19164,x19165,x19166))
% 92.33/92.12 [1917]~E(x19171,x19172)+E(f672(x19173,x19174,x19171,x19175,x19176),f672(x19173,x19174,x19172,x19175,x19176))
% 92.33/92.12 [1918]~E(x19181,x19182)+E(f672(x19183,x19184,x19185,x19181,x19186),f672(x19183,x19184,x19185,x19182,x19186))
% 92.33/92.12 [1919]~E(x19191,x19192)+E(f672(x19193,x19194,x19195,x19196,x19191),f672(x19193,x19194,x19195,x19196,x19192))
% 92.33/92.12 [1920]~E(x19201,x19202)+E(f354(x19201,x19203,x19204,x19205,x19206),f354(x19202,x19203,x19204,x19205,x19206))
% 92.33/92.12 [1921]~E(x19211,x19212)+E(f354(x19213,x19211,x19214,x19215,x19216),f354(x19213,x19212,x19214,x19215,x19216))
% 92.33/92.12 [1922]~E(x19221,x19222)+E(f354(x19223,x19224,x19221,x19225,x19226),f354(x19223,x19224,x19222,x19225,x19226))
% 92.33/92.12 [1923]~E(x19231,x19232)+E(f354(x19233,x19234,x19235,x19231,x19236),f354(x19233,x19234,x19235,x19232,x19236))
% 92.33/92.12 [1924]~E(x19241,x19242)+E(f354(x19243,x19244,x19245,x19246,x19241),f354(x19243,x19244,x19245,x19246,x19242))
% 92.33/92.12 [1925]~E(x19251,x19252)+E(f708(x19251,x19253),f708(x19252,x19253))
% 92.33/92.12 [1926]~E(x19261,x19262)+E(f708(x19263,x19261),f708(x19263,x19262))
% 92.33/92.12 [1927]~E(x19271,x19272)+E(f466(x19271,x19273,x19274,x19275),f466(x19272,x19273,x19274,x19275))
% 92.33/92.12 [1928]~E(x19281,x19282)+E(f466(x19283,x19281,x19284,x19285),f466(x19283,x19282,x19284,x19285))
% 92.33/92.12 [1929]~E(x19291,x19292)+E(f466(x19293,x19294,x19291,x19295),f466(x19293,x19294,x19292,x19295))
% 92.33/92.12 [1930]~E(x19301,x19302)+E(f466(x19303,x19304,x19305,x19301),f466(x19303,x19304,x19305,x19302))
% 92.33/92.12 [1931]~E(x19311,x19312)+E(f697(x19311,x19313,x19314,x19315,x19316),f697(x19312,x19313,x19314,x19315,x19316))
% 92.33/92.12 [1932]~E(x19321,x19322)+E(f697(x19323,x19321,x19324,x19325,x19326),f697(x19323,x19322,x19324,x19325,x19326))
% 92.33/92.12 [1933]~E(x19331,x19332)+E(f697(x19333,x19334,x19331,x19335,x19336),f697(x19333,x19334,x19332,x19335,x19336))
% 92.33/92.12 [1934]~E(x19341,x19342)+E(f697(x19343,x19344,x19345,x19341,x19346),f697(x19343,x19344,x19345,x19342,x19346))
% 92.33/92.12 [1935]~E(x19351,x19352)+E(f697(x19353,x19354,x19355,x19356,x19351),f697(x19353,x19354,x19355,x19356,x19352))
% 92.33/92.12 [1936]~E(x19361,x19362)+E(f643(x19361,x19363),f643(x19362,x19363))
% 92.33/92.12 [1937]~E(x19371,x19372)+E(f643(x19373,x19371),f643(x19373,x19372))
% 92.33/92.12 [1938]~E(x19381,x19382)+E(f346(x19381,x19383,x19384),f346(x19382,x19383,x19384))
% 92.33/92.12 [1939]~E(x19391,x19392)+E(f346(x19393,x19391,x19394),f346(x19393,x19392,x19394))
% 92.33/92.12 [1940]~E(x19401,x19402)+E(f346(x19403,x19404,x19401),f346(x19403,x19404,x19402))
% 92.33/92.12 [1941]~E(x19411,x19412)+E(f722(x19411,x19413,x19414,x19415,x19416),f722(x19412,x19413,x19414,x19415,x19416))
% 92.33/92.12 [1942]~E(x19421,x19422)+E(f722(x19423,x19421,x19424,x19425,x19426),f722(x19423,x19422,x19424,x19425,x19426))
% 92.33/92.12 [1943]~E(x19431,x19432)+E(f722(x19433,x19434,x19431,x19435,x19436),f722(x19433,x19434,x19432,x19435,x19436))
% 92.33/92.12 [1944]~E(x19441,x19442)+E(f722(x19443,x19444,x19445,x19441,x19446),f722(x19443,x19444,x19445,x19442,x19446))
% 92.33/92.12 [1945]~E(x19451,x19452)+E(f722(x19453,x19454,x19455,x19456,x19451),f722(x19453,x19454,x19455,x19456,x19452))
% 92.33/92.12 [1946]~E(x19461,x19462)+E(f284(x19461,x19463,x19464),f284(x19462,x19463,x19464))
% 92.33/92.12 [1947]~E(x19471,x19472)+E(f284(x19473,x19471,x19474),f284(x19473,x19472,x19474))
% 92.33/92.12 [1948]~E(x19481,x19482)+E(f284(x19483,x19484,x19481),f284(x19483,x19484,x19482))
% 92.33/92.12 [1949]~E(x19491,x19492)+E(f217(x19491,x19493),f217(x19492,x19493))
% 92.33/92.12 [1950]~E(x19501,x19502)+E(f217(x19503,x19501),f217(x19503,x19502))
% 92.33/92.12 [1951]~E(x19511,x19512)+E(f581(x19511,x19513,x19514),f581(x19512,x19513,x19514))
% 92.33/92.12 [1952]~E(x19521,x19522)+E(f581(x19523,x19521,x19524),f581(x19523,x19522,x19524))
% 92.33/92.12 [1953]~E(x19531,x19532)+E(f581(x19533,x19534,x19531),f581(x19533,x19534,x19532))
% 92.33/92.12 [1954]~E(x19541,x19542)+E(f819(x19541,x19543,x19544,x19545,x19546,x19547,x19548,x19549),f819(x19542,x19543,x19544,x19545,x19546,x19547,x19548,x19549))
% 92.33/92.12 [1955]~E(x19551,x19552)+E(f819(x19553,x19551,x19554,x19555,x19556,x19557,x19558,x19559),f819(x19553,x19552,x19554,x19555,x19556,x19557,x19558,x19559))
% 92.33/92.12 [1956]~E(x19561,x19562)+E(f819(x19563,x19564,x19561,x19565,x19566,x19567,x19568,x19569),f819(x19563,x19564,x19562,x19565,x19566,x19567,x19568,x19569))
% 92.33/92.12 [1957]~E(x19571,x19572)+E(f819(x19573,x19574,x19575,x19571,x19576,x19577,x19578,x19579),f819(x19573,x19574,x19575,x19572,x19576,x19577,x19578,x19579))
% 92.33/92.12 [1958]~E(x19581,x19582)+E(f819(x19583,x19584,x19585,x19586,x19581,x19587,x19588,x19589),f819(x19583,x19584,x19585,x19586,x19582,x19587,x19588,x19589))
% 92.33/92.12 [1959]~E(x19591,x19592)+E(f819(x19593,x19594,x19595,x19596,x19597,x19591,x19598,x19599),f819(x19593,x19594,x19595,x19596,x19597,x19592,x19598,x19599))
% 92.33/92.12 [1960]~E(x19601,x19602)+E(f819(x19603,x19604,x19605,x19606,x19607,x19608,x19601,x19609),f819(x19603,x19604,x19605,x19606,x19607,x19608,x19602,x19609))
% 92.33/92.12 [1961]~E(x19611,x19612)+E(f819(x19613,x19614,x19615,x19616,x19617,x19618,x19619,x19611),f819(x19613,x19614,x19615,x19616,x19617,x19618,x19619,x19612))
% 92.33/92.12 [1962]~E(x19621,x19622)+E(f647(x19621,x19623,x19624,x19625),f647(x19622,x19623,x19624,x19625))
% 92.33/92.12 [1963]~E(x19631,x19632)+E(f647(x19633,x19631,x19634,x19635),f647(x19633,x19632,x19634,x19635))
% 92.33/92.12 [1964]~E(x19641,x19642)+E(f647(x19643,x19644,x19641,x19645),f647(x19643,x19644,x19642,x19645))
% 92.33/92.12 [1965]~E(x19651,x19652)+E(f647(x19653,x19654,x19655,x19651),f647(x19653,x19654,x19655,x19652))
% 92.33/92.12 [1966]~E(x19661,x19662)+E(f370(x19661,x19663),f370(x19662,x19663))
% 92.33/92.12 [1967]~E(x19671,x19672)+E(f370(x19673,x19671),f370(x19673,x19672))
% 92.33/92.12 [1968]~E(x19681,x19682)+E(f679(x19681,x19683,x19684,x19685,x19686),f679(x19682,x19683,x19684,x19685,x19686))
% 92.33/92.12 [1969]~E(x19691,x19692)+E(f679(x19693,x19691,x19694,x19695,x19696),f679(x19693,x19692,x19694,x19695,x19696))
% 92.33/92.12 [1970]~E(x19701,x19702)+E(f679(x19703,x19704,x19701,x19705,x19706),f679(x19703,x19704,x19702,x19705,x19706))
% 92.33/92.12 [1971]~E(x19711,x19712)+E(f679(x19713,x19714,x19715,x19711,x19716),f679(x19713,x19714,x19715,x19712,x19716))
% 92.33/92.12 [1972]~E(x19721,x19722)+E(f679(x19723,x19724,x19725,x19726,x19721),f679(x19723,x19724,x19725,x19726,x19722))
% 92.33/92.12 [1973]~E(x19731,x19732)+E(f510(x19731),f510(x19732))
% 92.33/92.12 [1974]~E(x19741,x19742)+E(f589(x19741,x19743,x19744),f589(x19742,x19743,x19744))
% 92.33/92.12 [1975]~E(x19751,x19752)+E(f589(x19753,x19751,x19754),f589(x19753,x19752,x19754))
% 92.33/92.12 [1976]~E(x19761,x19762)+E(f589(x19763,x19764,x19761),f589(x19763,x19764,x19762))
% 92.33/92.12 [1977]~E(x19771,x19772)+E(f411(x19771,x19773,x19774,x19775),f411(x19772,x19773,x19774,x19775))
% 92.33/92.12 [1978]~E(x19781,x19782)+E(f411(x19783,x19781,x19784,x19785),f411(x19783,x19782,x19784,x19785))
% 92.33/92.12 [1979]~E(x19791,x19792)+E(f411(x19793,x19794,x19791,x19795),f411(x19793,x19794,x19792,x19795))
% 92.33/92.12 [1980]~E(x19801,x19802)+E(f411(x19803,x19804,x19805,x19801),f411(x19803,x19804,x19805,x19802))
% 92.33/92.12 [1981]~E(x19811,x19812)+E(f62(x19811,x19813,x19814),f62(x19812,x19813,x19814))
% 92.33/92.12 [1982]~E(x19821,x19822)+E(f62(x19823,x19821,x19824),f62(x19823,x19822,x19824))
% 92.33/92.12 [1983]~E(x19831,x19832)+E(f62(x19833,x19834,x19831),f62(x19833,x19834,x19832))
% 92.33/92.12 [1984]~E(x19841,x19842)+E(f827(x19841,x19843,x19844,x19845,x19846,x19847,x19848,x19849),f827(x19842,x19843,x19844,x19845,x19846,x19847,x19848,x19849))
% 92.33/92.12 [1985]~E(x19851,x19852)+E(f827(x19853,x19851,x19854,x19855,x19856,x19857,x19858,x19859),f827(x19853,x19852,x19854,x19855,x19856,x19857,x19858,x19859))
% 92.33/92.12 [1986]~E(x19861,x19862)+E(f827(x19863,x19864,x19861,x19865,x19866,x19867,x19868,x19869),f827(x19863,x19864,x19862,x19865,x19866,x19867,x19868,x19869))
% 92.33/92.12 [1987]~E(x19871,x19872)+E(f827(x19873,x19874,x19875,x19871,x19876,x19877,x19878,x19879),f827(x19873,x19874,x19875,x19872,x19876,x19877,x19878,x19879))
% 92.33/92.12 [1988]~E(x19881,x19882)+E(f827(x19883,x19884,x19885,x19886,x19881,x19887,x19888,x19889),f827(x19883,x19884,x19885,x19886,x19882,x19887,x19888,x19889))
% 92.33/92.12 [1989]~E(x19891,x19892)+E(f827(x19893,x19894,x19895,x19896,x19897,x19891,x19898,x19899),f827(x19893,x19894,x19895,x19896,x19897,x19892,x19898,x19899))
% 92.33/92.12 [1990]~E(x19901,x19902)+E(f827(x19903,x19904,x19905,x19906,x19907,x19908,x19901,x19909),f827(x19903,x19904,x19905,x19906,x19907,x19908,x19902,x19909))
% 92.33/92.12 [1991]~E(x19911,x19912)+E(f827(x19913,x19914,x19915,x19916,x19917,x19918,x19919,x19911),f827(x19913,x19914,x19915,x19916,x19917,x19918,x19919,x19912))
% 92.33/92.12 [1992]~E(x19921,x19922)+E(f572(x19921,x19923,x19924,x19925),f572(x19922,x19923,x19924,x19925))
% 92.33/92.12 [1993]~E(x19931,x19932)+E(f572(x19933,x19931,x19934,x19935),f572(x19933,x19932,x19934,x19935))
% 92.33/92.12 [1994]~E(x19941,x19942)+E(f572(x19943,x19944,x19941,x19945),f572(x19943,x19944,x19942,x19945))
% 92.33/92.12 [1995]~E(x19951,x19952)+E(f572(x19953,x19954,x19955,x19951),f572(x19953,x19954,x19955,x19952))
% 92.33/92.12 [1996]~E(x19961,x19962)+E(f717(x19961,x19963),f717(x19962,x19963))
% 92.33/92.12 [1997]~E(x19971,x19972)+E(f717(x19973,x19971),f717(x19973,x19972))
% 92.33/92.12 [1998]~E(x19981,x19982)+E(f711(x19981,x19983),f711(x19982,x19983))
% 92.33/92.12 [1999]~E(x19991,x19992)+E(f711(x19993,x19991),f711(x19993,x19992))
% 92.33/92.12 [2000]~E(x20001,x20002)+E(f538(x20001,x20003,x20004,x20005),f538(x20002,x20003,x20004,x20005))
% 92.33/92.12 [2001]~E(x20011,x20012)+E(f538(x20013,x20011,x20014,x20015),f538(x20013,x20012,x20014,x20015))
% 92.33/92.12 [2002]~E(x20021,x20022)+E(f538(x20023,x20024,x20021,x20025),f538(x20023,x20024,x20022,x20025))
% 92.33/92.12 [2003]~E(x20031,x20032)+E(f538(x20033,x20034,x20035,x20031),f538(x20033,x20034,x20035,x20032))
% 92.33/92.12 [2004]~E(x20041,x20042)+E(f873(x20041,x20043,x20044,x20045),f873(x20042,x20043,x20044,x20045))
% 92.33/92.12 [2005]~E(x20051,x20052)+E(f873(x20053,x20051,x20054,x20055),f873(x20053,x20052,x20054,x20055))
% 92.33/92.12 [2006]~E(x20061,x20062)+E(f873(x20063,x20064,x20061,x20065),f873(x20063,x20064,x20062,x20065))
% 92.33/92.12 [2007]~E(x20071,x20072)+E(f873(x20073,x20074,x20075,x20071),f873(x20073,x20074,x20075,x20072))
% 92.33/92.12 [2008]~E(x20081,x20082)+E(f573(x20081,x20083,x20084,x20085),f573(x20082,x20083,x20084,x20085))
% 92.33/92.12 [2009]~E(x20091,x20092)+E(f573(x20093,x20091,x20094,x20095),f573(x20093,x20092,x20094,x20095))
% 92.33/92.12 [2010]~E(x20101,x20102)+E(f573(x20103,x20104,x20101,x20105),f573(x20103,x20104,x20102,x20105))
% 92.33/92.12 [2011]~E(x20111,x20112)+E(f573(x20113,x20114,x20115,x20111),f573(x20113,x20114,x20115,x20112))
% 92.33/92.12 [2012]~E(x20121,x20122)+E(f586(x20121,x20123,x20124),f586(x20122,x20123,x20124))
% 92.33/92.12 [2013]~E(x20131,x20132)+E(f586(x20133,x20131,x20134),f586(x20133,x20132,x20134))
% 92.33/92.12 [2014]~E(x20141,x20142)+E(f586(x20143,x20144,x20141),f586(x20143,x20144,x20142))
% 92.33/92.12 [2015]~E(x20151,x20152)+E(f575(x20151,x20153,x20154),f575(x20152,x20153,x20154))
% 92.33/92.12 [2016]~E(x20161,x20162)+E(f575(x20163,x20161,x20164),f575(x20163,x20162,x20164))
% 92.33/92.12 [2017]~E(x20171,x20172)+E(f575(x20173,x20174,x20171),f575(x20173,x20174,x20172))
% 92.33/92.12 [2018]~E(x20181,x20182)+E(f255(x20181,x20183,x20184),f255(x20182,x20183,x20184))
% 92.33/92.12 [2019]~E(x20191,x20192)+E(f255(x20193,x20191,x20194),f255(x20193,x20192,x20194))
% 92.33/92.12 [2020]~E(x20201,x20202)+E(f255(x20203,x20204,x20201),f255(x20203,x20204,x20202))
% 92.33/92.12 [2021]~E(x20211,x20212)+E(f208(x20211,x20213),f208(x20212,x20213))
% 92.33/92.12 [2022]~E(x20221,x20222)+E(f208(x20223,x20221),f208(x20223,x20222))
% 92.33/92.12 [2023]~E(x20231,x20232)+E(f788(x20231,x20233,x20234),f788(x20232,x20233,x20234))
% 92.33/92.12 [2024]~E(x20241,x20242)+E(f788(x20243,x20241,x20244),f788(x20243,x20242,x20244))
% 92.33/92.12 [2025]~E(x20251,x20252)+E(f788(x20253,x20254,x20251),f788(x20253,x20254,x20252))
% 92.33/92.12 [2026]~E(x20261,x20262)+E(f884(x20261,x20263,x20264,x20265),f884(x20262,x20263,x20264,x20265))
% 92.33/92.12 [2027]~E(x20271,x20272)+E(f884(x20273,x20271,x20274,x20275),f884(x20273,x20272,x20274,x20275))
% 92.33/92.12 [2028]~E(x20281,x20282)+E(f884(x20283,x20284,x20281,x20285),f884(x20283,x20284,x20282,x20285))
% 92.33/92.12 [2029]~E(x20291,x20292)+E(f884(x20293,x20294,x20295,x20291),f884(x20293,x20294,x20295,x20292))
% 92.33/92.12 [2030]~E(x20301,x20302)+E(f880(x20301,x20303,x20304),f880(x20302,x20303,x20304))
% 92.33/92.12 [2031]~E(x20311,x20312)+E(f880(x20313,x20311,x20314),f880(x20313,x20312,x20314))
% 92.33/92.12 [2032]~E(x20321,x20322)+E(f880(x20323,x20324,x20321),f880(x20323,x20324,x20322))
% 92.33/92.12 [2033]~E(x20331,x20332)+E(f271(x20331),f271(x20332))
% 92.33/92.12 [2034]~E(x20341,x20342)+E(f739(x20341,x20343,x20344),f739(x20342,x20343,x20344))
% 92.33/92.12 [2035]~E(x20351,x20352)+E(f739(x20353,x20351,x20354),f739(x20353,x20352,x20354))
% 92.33/92.12 [2036]~E(x20361,x20362)+E(f739(x20363,x20364,x20361),f739(x20363,x20364,x20362))
% 92.33/92.12 [2037]~E(x20371,x20372)+E(f632(x20371,x20373,x20374),f632(x20372,x20373,x20374))
% 92.33/92.12 [2038]~E(x20381,x20382)+E(f632(x20383,x20381,x20384),f632(x20383,x20382,x20384))
% 92.33/92.12 [2039]~E(x20391,x20392)+E(f632(x20393,x20394,x20391),f632(x20393,x20394,x20392))
% 92.33/92.12 [2040]~E(x20401,x20402)+E(f353(x20401,x20403,x20404,x20405),f353(x20402,x20403,x20404,x20405))
% 92.33/92.12 [2041]~E(x20411,x20412)+E(f353(x20413,x20411,x20414,x20415),f353(x20413,x20412,x20414,x20415))
% 92.33/92.12 [2042]~E(x20421,x20422)+E(f353(x20423,x20424,x20421,x20425),f353(x20423,x20424,x20422,x20425))
% 92.33/92.12 [2043]~E(x20431,x20432)+E(f353(x20433,x20434,x20435,x20431),f353(x20433,x20434,x20435,x20432))
% 92.33/92.12 [2044]~E(x20441,x20442)+E(f770(x20441,x20443),f770(x20442,x20443))
% 92.33/92.12 [2045]~E(x20451,x20452)+E(f770(x20453,x20451),f770(x20453,x20452))
% 92.33/92.12 [2046]~E(x20461,x20462)+E(f507(x20461,x20463,x20464,x20465,x20466),f507(x20462,x20463,x20464,x20465,x20466))
% 92.33/92.12 [2047]~E(x20471,x20472)+E(f507(x20473,x20471,x20474,x20475,x20476),f507(x20473,x20472,x20474,x20475,x20476))
% 92.33/92.12 [2048]~E(x20481,x20482)+E(f507(x20483,x20484,x20481,x20485,x20486),f507(x20483,x20484,x20482,x20485,x20486))
% 92.33/92.12 [2049]~E(x20491,x20492)+E(f507(x20493,x20494,x20495,x20491,x20496),f507(x20493,x20494,x20495,x20492,x20496))
% 92.33/92.12 [2050]~E(x20501,x20502)+E(f507(x20503,x20504,x20505,x20506,x20501),f507(x20503,x20504,x20505,x20506,x20502))
% 92.33/92.12 [2051]~E(x20511,x20512)+E(f392(x20511,x20513,x20514,x20515),f392(x20512,x20513,x20514,x20515))
% 92.33/92.12 [2052]~E(x20521,x20522)+E(f392(x20523,x20521,x20524,x20525),f392(x20523,x20522,x20524,x20525))
% 92.33/92.12 [2053]~E(x20531,x20532)+E(f392(x20533,x20534,x20531,x20535),f392(x20533,x20534,x20532,x20535))
% 92.33/92.12 [2054]~E(x20541,x20542)+E(f392(x20543,x20544,x20545,x20541),f392(x20543,x20544,x20545,x20542))
% 92.33/92.12 [2055]~E(x20551,x20552)+E(f470(x20551,x20553,x20554,x20555,x20556),f470(x20552,x20553,x20554,x20555,x20556))
% 92.33/92.12 [2056]~E(x20561,x20562)+E(f470(x20563,x20561,x20564,x20565,x20566),f470(x20563,x20562,x20564,x20565,x20566))
% 92.33/92.12 [2057]~E(x20571,x20572)+E(f470(x20573,x20574,x20571,x20575,x20576),f470(x20573,x20574,x20572,x20575,x20576))
% 92.33/92.12 [2058]~E(x20581,x20582)+E(f470(x20583,x20584,x20585,x20581,x20586),f470(x20583,x20584,x20585,x20582,x20586))
% 92.33/92.12 [2059]~E(x20591,x20592)+E(f470(x20593,x20594,x20595,x20596,x20591),f470(x20593,x20594,x20595,x20596,x20592))
% 92.33/92.12 [2060]~E(x20601,x20602)+E(f731(x20601,x20603,x20604),f731(x20602,x20603,x20604))
% 92.33/92.12 [2061]~E(x20611,x20612)+E(f731(x20613,x20611,x20614),f731(x20613,x20612,x20614))
% 92.33/92.12 [2062]~E(x20621,x20622)+E(f731(x20623,x20624,x20621),f731(x20623,x20624,x20622))
% 92.33/92.12 [2063]~E(x20631,x20632)+E(f671(x20631,x20633,x20634),f671(x20632,x20633,x20634))
% 92.33/92.12 [2064]~E(x20641,x20642)+E(f671(x20643,x20641,x20644),f671(x20643,x20642,x20644))
% 92.33/92.12 [2065]~E(x20651,x20652)+E(f671(x20653,x20654,x20651),f671(x20653,x20654,x20652))
% 92.33/92.12 [2066]~E(x20661,x20662)+E(f719(x20661,x20663,x20664,x20665,x20666),f719(x20662,x20663,x20664,x20665,x20666))
% 92.33/92.12 [2067]~E(x20671,x20672)+E(f719(x20673,x20671,x20674,x20675,x20676),f719(x20673,x20672,x20674,x20675,x20676))
% 92.33/92.12 [2068]~E(x20681,x20682)+E(f719(x20683,x20684,x20681,x20685,x20686),f719(x20683,x20684,x20682,x20685,x20686))
% 92.33/92.12 [2069]~E(x20691,x20692)+E(f719(x20693,x20694,x20695,x20691,x20696),f719(x20693,x20694,x20695,x20692,x20696))
% 92.33/92.12 [2070]~E(x20701,x20702)+E(f719(x20703,x20704,x20705,x20706,x20701),f719(x20703,x20704,x20705,x20706,x20702))
% 92.33/92.12 [2071]~E(x20711,x20712)+E(f565(x20711,x20713),f565(x20712,x20713))
% 92.33/92.12 [2072]~E(x20721,x20722)+E(f565(x20723,x20721),f565(x20723,x20722))
% 92.33/92.12 [2073]~E(x20731,x20732)+E(f285(x20731,x20733,x20734),f285(x20732,x20733,x20734))
% 92.33/92.12 [2074]~E(x20741,x20742)+E(f285(x20743,x20741,x20744),f285(x20743,x20742,x20744))
% 92.33/92.12 [2075]~E(x20751,x20752)+E(f285(x20753,x20754,x20751),f285(x20753,x20754,x20752))
% 92.33/92.12 [2076]~E(x20761,x20762)+E(f558(x20761,x20763,x20764,x20765),f558(x20762,x20763,x20764,x20765))
% 92.33/92.12 [2077]~E(x20771,x20772)+E(f558(x20773,x20771,x20774,x20775),f558(x20773,x20772,x20774,x20775))
% 92.33/92.12 [2078]~E(x20781,x20782)+E(f558(x20783,x20784,x20781,x20785),f558(x20783,x20784,x20782,x20785))
% 92.33/92.12 [2079]~E(x20791,x20792)+E(f558(x20793,x20794,x20795,x20791),f558(x20793,x20794,x20795,x20792))
% 92.33/92.12 [2080]~E(x20801,x20802)+E(f669(x20801,x20803,x20804),f669(x20802,x20803,x20804))
% 92.33/92.12 [2081]~E(x20811,x20812)+E(f669(x20813,x20811,x20814),f669(x20813,x20812,x20814))
% 92.33/92.12 [2082]~E(x20821,x20822)+E(f669(x20823,x20824,x20821),f669(x20823,x20824,x20822))
% 92.33/92.12 [2083]~E(x20831,x20832)+E(f804(x20831,x20833),f804(x20832,x20833))
% 92.33/92.12 [2084]~E(x20841,x20842)+E(f804(x20843,x20841),f804(x20843,x20842))
% 92.33/92.12 [2085]~E(x20851,x20852)+E(f852(x20851,x20853),f852(x20852,x20853))
% 92.33/92.12 [2086]~E(x20861,x20862)+E(f852(x20863,x20861),f852(x20863,x20862))
% 92.33/92.12 [2087]~E(x20871,x20872)+E(f441(x20871,x20873,x20874,x20875,x20876),f441(x20872,x20873,x20874,x20875,x20876))
% 92.33/92.12 [2088]~E(x20881,x20882)+E(f441(x20883,x20881,x20884,x20885,x20886),f441(x20883,x20882,x20884,x20885,x20886))
% 92.33/92.12 [2089]~E(x20891,x20892)+E(f441(x20893,x20894,x20891,x20895,x20896),f441(x20893,x20894,x20892,x20895,x20896))
% 92.33/92.12 [2090]~E(x20901,x20902)+E(f441(x20903,x20904,x20905,x20901,x20906),f441(x20903,x20904,x20905,x20902,x20906))
% 92.33/92.12 [2091]~E(x20911,x20912)+E(f441(x20913,x20914,x20915,x20916,x20911),f441(x20913,x20914,x20915,x20916,x20912))
% 92.33/92.12 [2092]~E(x20921,x20922)+E(f360(x20921,x20923,x20924,x20925,x20926),f360(x20922,x20923,x20924,x20925,x20926))
% 92.33/92.12 [2093]~E(x20931,x20932)+E(f360(x20933,x20931,x20934,x20935,x20936),f360(x20933,x20932,x20934,x20935,x20936))
% 92.33/92.12 [2094]~E(x20941,x20942)+E(f360(x20943,x20944,x20941,x20945,x20946),f360(x20943,x20944,x20942,x20945,x20946))
% 92.33/92.12 [2095]~E(x20951,x20952)+E(f360(x20953,x20954,x20955,x20951,x20956),f360(x20953,x20954,x20955,x20952,x20956))
% 92.33/92.12 [2096]~E(x20961,x20962)+E(f360(x20963,x20964,x20965,x20966,x20961),f360(x20963,x20964,x20965,x20966,x20962))
% 92.33/92.12 [2097]~E(x20971,x20972)+E(f341(x20971,x20973,x20974),f341(x20972,x20973,x20974))
% 92.33/92.12 [2098]~E(x20981,x20982)+E(f341(x20983,x20981,x20984),f341(x20983,x20982,x20984))
% 92.33/92.12 [2099]~E(x20991,x20992)+E(f341(x20993,x20994,x20991),f341(x20993,x20994,x20992))
% 92.33/92.12 [2100]~E(x21001,x21002)+E(f403(x21001,x21003,x21004),f403(x21002,x21003,x21004))
% 92.33/92.12 [2101]~E(x21011,x21012)+E(f403(x21013,x21011,x21014),f403(x21013,x21012,x21014))
% 92.33/92.12 [2102]~E(x21021,x21022)+E(f403(x21023,x21024,x21021),f403(x21023,x21024,x21022))
% 92.33/92.12 [2103]~E(x21031,x21032)+E(f375(x21031,x21033),f375(x21032,x21033))
% 92.33/92.12 [2104]~E(x21041,x21042)+E(f375(x21043,x21041),f375(x21043,x21042))
% 92.33/92.12 [2105]~E(x21051,x21052)+E(f193(x21051,x21053,x21054),f193(x21052,x21053,x21054))
% 92.33/92.12 [2106]~E(x21061,x21062)+E(f193(x21063,x21061,x21064),f193(x21063,x21062,x21064))
% 92.33/92.12 [2107]~E(x21071,x21072)+E(f193(x21073,x21074,x21071),f193(x21073,x21074,x21072))
% 92.33/92.12 [2108]~E(x21081,x21082)+E(f393(x21081,x21083,x21084,x21085),f393(x21082,x21083,x21084,x21085))
% 92.33/92.12 [2109]~E(x21091,x21092)+E(f393(x21093,x21091,x21094,x21095),f393(x21093,x21092,x21094,x21095))
% 92.33/92.12 [2110]~E(x21101,x21102)+E(f393(x21103,x21104,x21101,x21105),f393(x21103,x21104,x21102,x21105))
% 92.33/92.12 [2111]~E(x21111,x21112)+E(f393(x21113,x21114,x21115,x21111),f393(x21113,x21114,x21115,x21112))
% 92.33/92.12 [2112]~E(x21121,x21122)+E(f692(x21121,x21123,x21124),f692(x21122,x21123,x21124))
% 92.33/92.12 [2113]~E(x21131,x21132)+E(f692(x21133,x21131,x21134),f692(x21133,x21132,x21134))
% 92.33/92.12 [2114]~E(x21141,x21142)+E(f692(x21143,x21144,x21141),f692(x21143,x21144,x21142))
% 92.33/92.12 [2115]~E(x21151,x21152)+E(f783(x21151,x21153),f783(x21152,x21153))
% 92.33/92.12 [2116]~E(x21161,x21162)+E(f783(x21163,x21161),f783(x21163,x21162))
% 92.33/92.12 [2117]~E(x21171,x21172)+E(f523(x21171,x21173),f523(x21172,x21173))
% 92.33/92.12 [2118]~E(x21181,x21182)+E(f523(x21183,x21181),f523(x21183,x21182))
% 92.33/92.12 [2119]~E(x21191,x21192)+E(f19(x21191,x21193,x21194,x21195),f19(x21192,x21193,x21194,x21195))
% 92.33/92.12 [2120]~E(x21201,x21202)+E(f19(x21203,x21201,x21204,x21205),f19(x21203,x21202,x21204,x21205))
% 92.33/92.12 [2121]~E(x21211,x21212)+E(f19(x21213,x21214,x21211,x21215),f19(x21213,x21214,x21212,x21215))
% 92.33/92.12 [2122]~E(x21221,x21222)+E(f19(x21223,x21224,x21225,x21221),f19(x21223,x21224,x21225,x21222))
% 92.33/92.12 [2123]~E(x21231,x21232)+E(f867(x21231,x21233,x21234),f867(x21232,x21233,x21234))
% 92.33/92.12 [2124]~E(x21241,x21242)+E(f867(x21243,x21241,x21244),f867(x21243,x21242,x21244))
% 92.33/92.12 [2125]~E(x21251,x21252)+E(f867(x21253,x21254,x21251),f867(x21253,x21254,x21252))
% 92.33/92.12 [2126]~E(x21261,x21262)+E(f761(x21261,x21263,x21264),f761(x21262,x21263,x21264))
% 92.33/92.12 [2127]~E(x21271,x21272)+E(f761(x21273,x21271,x21274),f761(x21273,x21272,x21274))
% 92.33/92.12 [2128]~E(x21281,x21282)+E(f761(x21283,x21284,x21281),f761(x21283,x21284,x21282))
% 92.33/92.12 [2129]~E(x21291,x21292)+E(f752(x21291,x21293,x21294,x21295,x21296),f752(x21292,x21293,x21294,x21295,x21296))
% 92.33/92.12 [2130]~E(x21301,x21302)+E(f752(x21303,x21301,x21304,x21305,x21306),f752(x21303,x21302,x21304,x21305,x21306))
% 92.33/92.12 [2131]~E(x21311,x21312)+E(f752(x21313,x21314,x21311,x21315,x21316),f752(x21313,x21314,x21312,x21315,x21316))
% 92.33/92.12 [2132]~E(x21321,x21322)+E(f752(x21323,x21324,x21325,x21321,x21326),f752(x21323,x21324,x21325,x21322,x21326))
% 92.33/92.12 [2133]~E(x21331,x21332)+E(f752(x21333,x21334,x21335,x21336,x21331),f752(x21333,x21334,x21335,x21336,x21332))
% 92.33/92.12 [2134]~E(x21341,x21342)+E(f660(x21341,x21343,x21344,x21345,x21346),f660(x21342,x21343,x21344,x21345,x21346))
% 92.33/92.12 [2135]~E(x21351,x21352)+E(f660(x21353,x21351,x21354,x21355,x21356),f660(x21353,x21352,x21354,x21355,x21356))
% 92.33/92.12 [2136]~E(x21361,x21362)+E(f660(x21363,x21364,x21361,x21365,x21366),f660(x21363,x21364,x21362,x21365,x21366))
% 92.33/92.12 [2137]~E(x21371,x21372)+E(f660(x21373,x21374,x21375,x21371,x21376),f660(x21373,x21374,x21375,x21372,x21376))
% 92.33/92.12 [2138]~E(x21381,x21382)+E(f660(x21383,x21384,x21385,x21386,x21381),f660(x21383,x21384,x21385,x21386,x21382))
% 92.33/92.12 [2139]~E(x21391,x21392)+E(f774(x21391,x21393,x21394),f774(x21392,x21393,x21394))
% 92.33/92.12 [2140]~E(x21401,x21402)+E(f774(x21403,x21401,x21404),f774(x21403,x21402,x21404))
% 92.33/92.12 [2141]~E(x21411,x21412)+E(f774(x21413,x21414,x21411),f774(x21413,x21414,x21412))
% 92.33/92.12 [2142]~E(x21421,x21422)+E(f356(x21421,x21423,x21424,x21425,x21426),f356(x21422,x21423,x21424,x21425,x21426))
% 92.33/92.12 [2143]~E(x21431,x21432)+E(f356(x21433,x21431,x21434,x21435,x21436),f356(x21433,x21432,x21434,x21435,x21436))
% 92.33/92.12 [2144]~E(x21441,x21442)+E(f356(x21443,x21444,x21441,x21445,x21446),f356(x21443,x21444,x21442,x21445,x21446))
% 92.33/92.12 [2145]~E(x21451,x21452)+E(f356(x21453,x21454,x21455,x21451,x21456),f356(x21453,x21454,x21455,x21452,x21456))
% 92.33/92.12 [2146]~E(x21461,x21462)+E(f356(x21463,x21464,x21465,x21466,x21461),f356(x21463,x21464,x21465,x21466,x21462))
% 92.33/92.12 [2147]~E(x21471,x21472)+E(f710(x21471,x21473,x21474,x21475,x21476,x21477,x21478,x21479),f710(x21472,x21473,x21474,x21475,x21476,x21477,x21478,x21479))
% 92.33/92.12 [2148]~E(x21481,x21482)+E(f710(x21483,x21481,x21484,x21485,x21486,x21487,x21488,x21489),f710(x21483,x21482,x21484,x21485,x21486,x21487,x21488,x21489))
% 92.33/92.12 [2149]~E(x21491,x21492)+E(f710(x21493,x21494,x21491,x21495,x21496,x21497,x21498,x21499),f710(x21493,x21494,x21492,x21495,x21496,x21497,x21498,x21499))
% 92.33/92.12 [2150]~E(x21501,x21502)+E(f710(x21503,x21504,x21505,x21501,x21506,x21507,x21508,x21509),f710(x21503,x21504,x21505,x21502,x21506,x21507,x21508,x21509))
% 92.33/92.12 [2151]~E(x21511,x21512)+E(f710(x21513,x21514,x21515,x21516,x21511,x21517,x21518,x21519),f710(x21513,x21514,x21515,x21516,x21512,x21517,x21518,x21519))
% 92.33/92.12 [2152]~E(x21521,x21522)+E(f710(x21523,x21524,x21525,x21526,x21527,x21521,x21528,x21529),f710(x21523,x21524,x21525,x21526,x21527,x21522,x21528,x21529))
% 92.33/92.12 [2153]~E(x21531,x21532)+E(f710(x21533,x21534,x21535,x21536,x21537,x21538,x21531,x21539),f710(x21533,x21534,x21535,x21536,x21537,x21538,x21532,x21539))
% 92.33/92.12 [2154]~E(x21541,x21542)+E(f710(x21543,x21544,x21545,x21546,x21547,x21548,x21549,x21541),f710(x21543,x21544,x21545,x21546,x21547,x21548,x21549,x21542))
% 92.33/92.12 [2155]~E(x21551,x21552)+E(f400(x21551),f400(x21552))
% 92.33/92.12 [2156]~E(x21561,x21562)+E(f670(x21561,x21563,x21564,x21565,x21566),f670(x21562,x21563,x21564,x21565,x21566))
% 92.33/92.12 [2157]~E(x21571,x21572)+E(f670(x21573,x21571,x21574,x21575,x21576),f670(x21573,x21572,x21574,x21575,x21576))
% 92.33/92.12 [2158]~E(x21581,x21582)+E(f670(x21583,x21584,x21581,x21585,x21586),f670(x21583,x21584,x21582,x21585,x21586))
% 92.33/92.12 [2159]~E(x21591,x21592)+E(f670(x21593,x21594,x21595,x21591,x21596),f670(x21593,x21594,x21595,x21592,x21596))
% 92.33/92.12 [2160]~E(x21601,x21602)+E(f670(x21603,x21604,x21605,x21606,x21601),f670(x21603,x21604,x21605,x21606,x21602))
% 92.33/92.12 [2161]~E(x21611,x21612)+E(f433(x21611),f433(x21612))
% 92.33/92.12 [2162]~E(x21621,x21622)+E(f654(x21621,x21623,x21624,x21625,x21626),f654(x21622,x21623,x21624,x21625,x21626))
% 92.33/92.12 [2163]~E(x21631,x21632)+E(f654(x21633,x21631,x21634,x21635,x21636),f654(x21633,x21632,x21634,x21635,x21636))
% 92.33/92.12 [2164]~E(x21641,x21642)+E(f654(x21643,x21644,x21641,x21645,x21646),f654(x21643,x21644,x21642,x21645,x21646))
% 92.33/92.12 [2165]~E(x21651,x21652)+E(f654(x21653,x21654,x21655,x21651,x21656),f654(x21653,x21654,x21655,x21652,x21656))
% 92.33/92.12 [2166]~E(x21661,x21662)+E(f654(x21663,x21664,x21665,x21666,x21661),f654(x21663,x21664,x21665,x21666,x21662))
% 92.33/92.12 [2167]~E(x21671,x21672)+E(f661(x21671,x21673,x21674,x21675,x21676),f661(x21672,x21673,x21674,x21675,x21676))
% 92.33/92.12 [2168]~E(x21681,x21682)+E(f661(x21683,x21681,x21684,x21685,x21686),f661(x21683,x21682,x21684,x21685,x21686))
% 92.33/92.12 [2169]~E(x21691,x21692)+E(f661(x21693,x21694,x21691,x21695,x21696),f661(x21693,x21694,x21692,x21695,x21696))
% 92.33/92.12 [2170]~E(x21701,x21702)+E(f661(x21703,x21704,x21705,x21701,x21706),f661(x21703,x21704,x21705,x21702,x21706))
% 92.33/92.12 [2171]~E(x21711,x21712)+E(f661(x21713,x21714,x21715,x21716,x21711),f661(x21713,x21714,x21715,x21716,x21712))
% 92.33/92.12 [2172]~E(x21721,x21722)+E(f508(x21721,x21723,x21724,x21725,x21726,x21727,x21728,x21729),f508(x21722,x21723,x21724,x21725,x21726,x21727,x21728,x21729))
% 92.33/92.12 [2173]~E(x21731,x21732)+E(f508(x21733,x21731,x21734,x21735,x21736,x21737,x21738,x21739),f508(x21733,x21732,x21734,x21735,x21736,x21737,x21738,x21739))
% 92.33/92.12 [2174]~E(x21741,x21742)+E(f508(x21743,x21744,x21741,x21745,x21746,x21747,x21748,x21749),f508(x21743,x21744,x21742,x21745,x21746,x21747,x21748,x21749))
% 92.33/92.12 [2175]~E(x21751,x21752)+E(f508(x21753,x21754,x21755,x21751,x21756,x21757,x21758,x21759),f508(x21753,x21754,x21755,x21752,x21756,x21757,x21758,x21759))
% 92.33/92.12 [2176]~E(x21761,x21762)+E(f508(x21763,x21764,x21765,x21766,x21761,x21767,x21768,x21769),f508(x21763,x21764,x21765,x21766,x21762,x21767,x21768,x21769))
% 92.33/92.12 [2177]~E(x21771,x21772)+E(f508(x21773,x21774,x21775,x21776,x21777,x21771,x21778,x21779),f508(x21773,x21774,x21775,x21776,x21777,x21772,x21778,x21779))
% 92.33/92.12 [2178]~E(x21781,x21782)+E(f508(x21783,x21784,x21785,x21786,x21787,x21788,x21781,x21789),f508(x21783,x21784,x21785,x21786,x21787,x21788,x21782,x21789))
% 92.33/92.12 [2179]~E(x21791,x21792)+E(f508(x21793,x21794,x21795,x21796,x21797,x21798,x21799,x21791),f508(x21793,x21794,x21795,x21796,x21797,x21798,x21799,x21792))
% 92.33/92.12 [2180]~E(x21801,x21802)+E(f344(x21801,x21803),f344(x21802,x21803))
% 92.33/92.12 [2181]~E(x21811,x21812)+E(f344(x21813,x21811),f344(x21813,x21812))
% 92.33/92.12 [2182]~E(x21821,x21822)+E(f493(x21821,x21823,x21824),f493(x21822,x21823,x21824))
% 92.33/92.12 [2183]~E(x21831,x21832)+E(f493(x21833,x21831,x21834),f493(x21833,x21832,x21834))
% 92.33/92.12 [2184]~E(x21841,x21842)+E(f493(x21843,x21844,x21841),f493(x21843,x21844,x21842))
% 92.33/92.12 [2185]~E(x21851,x21852)+E(f703(x21851,x21853),f703(x21852,x21853))
% 92.33/92.12 [2186]~E(x21861,x21862)+E(f703(x21863,x21861),f703(x21863,x21862))
% 92.33/92.12 [2187]~E(x21871,x21872)+E(f681(x21871,x21873,x21874),f681(x21872,x21873,x21874))
% 92.33/92.12 [2188]~E(x21881,x21882)+E(f681(x21883,x21881,x21884),f681(x21883,x21882,x21884))
% 92.33/92.12 [2189]~E(x21891,x21892)+E(f681(x21893,x21894,x21891),f681(x21893,x21894,x21892))
% 92.33/92.12 [2190]~E(x21901,x21902)+E(f152(x21901,x21903),f152(x21902,x21903))
% 92.33/92.12 [2191]~E(x21911,x21912)+E(f152(x21913,x21911),f152(x21913,x21912))
% 92.33/92.12 [2192]~E(x21921,x21922)+E(f869(x21921,x21923,x21924),f869(x21922,x21923,x21924))
% 92.33/92.12 [2193]~E(x21931,x21932)+E(f869(x21933,x21931,x21934),f869(x21933,x21932,x21934))
% 92.33/92.12 [2194]~E(x21941,x21942)+E(f869(x21943,x21944,x21941),f869(x21943,x21944,x21942))
% 92.33/92.12 [2195]~E(x21951,x21952)+E(f865(x21951,x21953,x21954,x21955),f865(x21952,x21953,x21954,x21955))
% 92.33/92.12 [2196]~E(x21961,x21962)+E(f865(x21963,x21961,x21964,x21965),f865(x21963,x21962,x21964,x21965))
% 92.33/92.12 [2197]~E(x21971,x21972)+E(f865(x21973,x21974,x21971,x21975),f865(x21973,x21974,x21972,x21975))
% 92.33/92.12 [2198]~E(x21981,x21982)+E(f865(x21983,x21984,x21985,x21981),f865(x21983,x21984,x21985,x21982))
% 92.33/92.12 [2199]~E(x21991,x21992)+E(f121(x21991,x21993,x21994,x21995),f121(x21992,x21993,x21994,x21995))
% 92.33/92.12 [2200]~E(x22001,x22002)+E(f121(x22003,x22001,x22004,x22005),f121(x22003,x22002,x22004,x22005))
% 92.33/92.12 [2201]~E(x22011,x22012)+E(f121(x22013,x22014,x22011,x22015),f121(x22013,x22014,x22012,x22015))
% 92.33/92.12 [2202]~E(x22021,x22022)+E(f121(x22023,x22024,x22025,x22021),f121(x22023,x22024,x22025,x22022))
% 92.33/92.12 [2203]~E(x22031,x22032)+E(f164(x22031,x22033,x22034),f164(x22032,x22033,x22034))
% 92.33/92.12 [2204]~E(x22041,x22042)+E(f164(x22043,x22041,x22044),f164(x22043,x22042,x22044))
% 92.33/92.12 [2205]~E(x22051,x22052)+E(f164(x22053,x22054,x22051),f164(x22053,x22054,x22052))
% 92.33/92.12 [2206]~E(x22061,x22062)+E(f367(x22061,x22063,x22064,x22065,x22066),f367(x22062,x22063,x22064,x22065,x22066))
% 92.33/92.12 [2207]~E(x22071,x22072)+E(f367(x22073,x22071,x22074,x22075,x22076),f367(x22073,x22072,x22074,x22075,x22076))
% 92.33/92.12 [2208]~E(x22081,x22082)+E(f367(x22083,x22084,x22081,x22085,x22086),f367(x22083,x22084,x22082,x22085,x22086))
% 92.33/92.12 [2209]~E(x22091,x22092)+E(f367(x22093,x22094,x22095,x22091,x22096),f367(x22093,x22094,x22095,x22092,x22096))
% 92.33/92.12 [2210]~E(x22101,x22102)+E(f367(x22103,x22104,x22105,x22106,x22101),f367(x22103,x22104,x22105,x22106,x22102))
% 92.33/92.12 [2211]~E(x22111,x22112)+E(f383(x22111,x22113,x22114,x22115),f383(x22112,x22113,x22114,x22115))
% 92.33/92.12 [2212]~E(x22121,x22122)+E(f383(x22123,x22121,x22124,x22125),f383(x22123,x22122,x22124,x22125))
% 92.33/92.12 [2213]~E(x22131,x22132)+E(f383(x22133,x22134,x22131,x22135),f383(x22133,x22134,x22132,x22135))
% 92.33/92.12 [2214]~E(x22141,x22142)+E(f383(x22143,x22144,x22145,x22141),f383(x22143,x22144,x22145,x22142))
% 92.33/92.12 [2215]~E(x22151,x22152)+E(f364(x22151,x22153,x22154,x22155,x22156),f364(x22152,x22153,x22154,x22155,x22156))
% 92.33/92.12 [2216]~E(x22161,x22162)+E(f364(x22163,x22161,x22164,x22165,x22166),f364(x22163,x22162,x22164,x22165,x22166))
% 92.33/92.12 [2217]~E(x22171,x22172)+E(f364(x22173,x22174,x22171,x22175,x22176),f364(x22173,x22174,x22172,x22175,x22176))
% 92.33/92.12 [2218]~E(x22181,x22182)+E(f364(x22183,x22184,x22185,x22181,x22186),f364(x22183,x22184,x22185,x22182,x22186))
% 92.33/92.12 [2219]~E(x22191,x22192)+E(f364(x22193,x22194,x22195,x22196,x22191),f364(x22193,x22194,x22195,x22196,x22192))
% 92.33/92.12 [2220]~E(x22201,x22202)+E(f694(x22201,x22203),f694(x22202,x22203))
% 92.33/92.12 [2221]~E(x22211,x22212)+E(f694(x22213,x22211),f694(x22213,x22212))
% 92.33/92.12 [2222]~E(x22221,x22222)+E(f311(x22221,x22223,x22224),f311(x22222,x22223,x22224))
% 92.33/92.12 [2223]~E(x22231,x22232)+E(f311(x22233,x22231,x22234),f311(x22233,x22232,x22234))
% 92.33/92.12 [2224]~E(x22241,x22242)+E(f311(x22243,x22244,x22241),f311(x22243,x22244,x22242))
% 92.33/92.12 [2225]~E(x22251,x22252)+E(f114(x22251),f114(x22252))
% 92.33/92.12 [2226]~E(x22261,x22262)+E(f771(x22261,x22263),f771(x22262,x22263))
% 92.33/92.12 [2227]~E(x22271,x22272)+E(f771(x22273,x22271),f771(x22273,x22272))
% 92.33/92.12 [2228]~E(x22281,x22282)+E(f674(x22281,x22283),f674(x22282,x22283))
% 92.33/92.12 [2229]~E(x22291,x22292)+E(f674(x22293,x22291),f674(x22293,x22292))
% 92.33/92.12 [2230]~E(x22301,x22302)+E(f337(x22301,x22303,x22304,x22305),f337(x22302,x22303,x22304,x22305))
% 92.33/92.12 [2231]~E(x22311,x22312)+E(f337(x22313,x22311,x22314,x22315),f337(x22313,x22312,x22314,x22315))
% 92.33/92.12 [2232]~E(x22321,x22322)+E(f337(x22323,x22324,x22321,x22325),f337(x22323,x22324,x22322,x22325))
% 92.33/92.12 [2233]~E(x22331,x22332)+E(f337(x22333,x22334,x22335,x22331),f337(x22333,x22334,x22335,x22332))
% 92.33/92.12 [2234]~E(x22341,x22342)+E(f451(x22341,x22343,x22344,x22345,x22346),f451(x22342,x22343,x22344,x22345,x22346))
% 92.33/92.12 [2235]~E(x22351,x22352)+E(f451(x22353,x22351,x22354,x22355,x22356),f451(x22353,x22352,x22354,x22355,x22356))
% 92.33/92.12 [2236]~E(x22361,x22362)+E(f451(x22363,x22364,x22361,x22365,x22366),f451(x22363,x22364,x22362,x22365,x22366))
% 92.33/92.12 [2237]~E(x22371,x22372)+E(f451(x22373,x22374,x22375,x22371,x22376),f451(x22373,x22374,x22375,x22372,x22376))
% 92.33/92.12 [2238]~E(x22381,x22382)+E(f451(x22383,x22384,x22385,x22386,x22381),f451(x22383,x22384,x22385,x22386,x22382))
% 92.33/92.12 [2239]~E(x22391,x22392)+E(f753(x22391,x22393,x22394,x22395),f753(x22392,x22393,x22394,x22395))
% 92.33/92.12 [2240]~E(x22401,x22402)+E(f753(x22403,x22401,x22404,x22405),f753(x22403,x22402,x22404,x22405))
% 92.33/92.12 [2241]~E(x22411,x22412)+E(f753(x22413,x22414,x22411,x22415),f753(x22413,x22414,x22412,x22415))
% 92.33/92.12 [2242]~E(x22421,x22422)+E(f753(x22423,x22424,x22425,x22421),f753(x22423,x22424,x22425,x22422))
% 92.33/92.12 [2243]~E(x22431,x22432)+E(f684(x22431,x22433),f684(x22432,x22433))
% 92.33/92.12 [2244]~E(x22441,x22442)+E(f684(x22443,x22441),f684(x22443,x22442))
% 92.33/92.12 [2245]~E(x22451,x22452)+E(f881(x22451,x22453,x22454),f881(x22452,x22453,x22454))
% 92.33/92.12 [2246]~E(x22461,x22462)+E(f881(x22463,x22461,x22464),f881(x22463,x22462,x22464))
% 92.33/92.12 [2247]~E(x22471,x22472)+E(f881(x22473,x22474,x22471),f881(x22473,x22474,x22472))
% 92.33/92.12 [2248]~E(x22481,x22482)+E(f839(x22481,x22483,x22484),f839(x22482,x22483,x22484))
% 92.33/92.12 [2249]~E(x22491,x22492)+E(f839(x22493,x22491,x22494),f839(x22493,x22492,x22494))
% 92.33/92.12 [2250]~E(x22501,x22502)+E(f839(x22503,x22504,x22501),f839(x22503,x22504,x22502))
% 92.33/92.12 [2251]~E(x22511,x22512)+E(f762(x22511,x22513),f762(x22512,x22513))
% 92.33/92.12 [2252]~E(x22521,x22522)+E(f762(x22523,x22521),f762(x22523,x22522))
% 92.33/92.12 [2253]~E(x22531,x22532)+E(f630(x22531,x22533,x22534,x22535,x22536),f630(x22532,x22533,x22534,x22535,x22536))
% 92.33/92.12 [2254]~E(x22541,x22542)+E(f630(x22543,x22541,x22544,x22545,x22546),f630(x22543,x22542,x22544,x22545,x22546))
% 92.33/92.12 [2255]~E(x22551,x22552)+E(f630(x22553,x22554,x22551,x22555,x22556),f630(x22553,x22554,x22552,x22555,x22556))
% 92.33/92.12 [2256]~E(x22561,x22562)+E(f630(x22563,x22564,x22565,x22561,x22566),f630(x22563,x22564,x22565,x22562,x22566))
% 92.33/92.12 [2257]~E(x22571,x22572)+E(f630(x22573,x22574,x22575,x22576,x22571),f630(x22573,x22574,x22575,x22576,x22572))
% 92.33/92.12 [2258]~E(x22581,x22582)+E(f388(x22581,x22583,x22584,x22585),f388(x22582,x22583,x22584,x22585))
% 92.33/92.12 [2259]~E(x22591,x22592)+E(f388(x22593,x22591,x22594,x22595),f388(x22593,x22592,x22594,x22595))
% 92.33/92.12 [2260]~E(x22601,x22602)+E(f388(x22603,x22604,x22601,x22605),f388(x22603,x22604,x22602,x22605))
% 92.33/92.12 [2261]~E(x22611,x22612)+E(f388(x22613,x22614,x22615,x22611),f388(x22613,x22614,x22615,x22612))
% 92.33/92.12 [2262]~E(x22621,x22622)+E(f882(x22621,x22623,x22624,x22625),f882(x22622,x22623,x22624,x22625))
% 92.33/92.12 [2263]~E(x22631,x22632)+E(f882(x22633,x22631,x22634,x22635),f882(x22633,x22632,x22634,x22635))
% 92.33/92.12 [2264]~E(x22641,x22642)+E(f882(x22643,x22644,x22641,x22645),f882(x22643,x22644,x22642,x22645))
% 92.33/92.12 [2265]~E(x22651,x22652)+E(f882(x22653,x22654,x22655,x22651),f882(x22653,x22654,x22655,x22652))
% 92.33/92.12 [2266]~E(x22661,x22662)+E(f460(x22661,x22663,x22664,x22665,x22666,x22667,x22668),f460(x22662,x22663,x22664,x22665,x22666,x22667,x22668))
% 92.33/92.12 [2267]~E(x22671,x22672)+E(f460(x22673,x22671,x22674,x22675,x22676,x22677,x22678),f460(x22673,x22672,x22674,x22675,x22676,x22677,x22678))
% 92.33/92.12 [2268]~E(x22681,x22682)+E(f460(x22683,x22684,x22681,x22685,x22686,x22687,x22688),f460(x22683,x22684,x22682,x22685,x22686,x22687,x22688))
% 92.33/92.12 [2269]~E(x22691,x22692)+E(f460(x22693,x22694,x22695,x22691,x22696,x22697,x22698),f460(x22693,x22694,x22695,x22692,x22696,x22697,x22698))
% 92.33/92.12 [2270]~E(x22701,x22702)+E(f460(x22703,x22704,x22705,x22706,x22701,x22707,x22708),f460(x22703,x22704,x22705,x22706,x22702,x22707,x22708))
% 92.33/92.12 [2271]~E(x22711,x22712)+E(f460(x22713,x22714,x22715,x22716,x22717,x22711,x22718),f460(x22713,x22714,x22715,x22716,x22717,x22712,x22718))
% 92.33/92.12 [2272]~E(x22721,x22722)+E(f460(x22723,x22724,x22725,x22726,x22727,x22728,x22721),f460(x22723,x22724,x22725,x22726,x22727,x22728,x22722))
% 92.33/92.12 [2273]~E(x22731,x22732)+E(f454(x22731,x22733,x22734,x22735,x22736),f454(x22732,x22733,x22734,x22735,x22736))
% 92.33/92.12 [2274]~E(x22741,x22742)+E(f454(x22743,x22741,x22744,x22745,x22746),f454(x22743,x22742,x22744,x22745,x22746))
% 92.33/92.12 [2275]~E(x22751,x22752)+E(f454(x22753,x22754,x22751,x22755,x22756),f454(x22753,x22754,x22752,x22755,x22756))
% 92.33/92.12 [2276]~E(x22761,x22762)+E(f454(x22763,x22764,x22765,x22761,x22766),f454(x22763,x22764,x22765,x22762,x22766))
% 92.33/92.12 [2277]~E(x22771,x22772)+E(f454(x22773,x22774,x22775,x22776,x22771),f454(x22773,x22774,x22775,x22776,x22772))
% 92.33/92.12 [2278]~E(x22781,x22782)+E(f765(x22781,x22783,x22784,x22785,x22786,x22787),f765(x22782,x22783,x22784,x22785,x22786,x22787))
% 92.33/92.12 [2279]~E(x22791,x22792)+E(f765(x22793,x22791,x22794,x22795,x22796,x22797),f765(x22793,x22792,x22794,x22795,x22796,x22797))
% 92.33/92.12 [2280]~E(x22801,x22802)+E(f765(x22803,x22804,x22801,x22805,x22806,x22807),f765(x22803,x22804,x22802,x22805,x22806,x22807))
% 92.33/92.12 [2281]~E(x22811,x22812)+E(f765(x22813,x22814,x22815,x22811,x22816,x22817),f765(x22813,x22814,x22815,x22812,x22816,x22817))
% 92.33/92.12 [2282]~E(x22821,x22822)+E(f765(x22823,x22824,x22825,x22826,x22821,x22827),f765(x22823,x22824,x22825,x22826,x22822,x22827))
% 92.33/92.12 [2283]~E(x22831,x22832)+E(f765(x22833,x22834,x22835,x22836,x22837,x22831),f765(x22833,x22834,x22835,x22836,x22837,x22832))
% 92.33/92.12 [2284]~E(x22841,x22842)+E(f113(x22841),f113(x22842))
% 92.33/92.12 [2285]~E(x22851,x22852)+E(f505(x22851,x22853,x22854,x22855,x22856,x22857),f505(x22852,x22853,x22854,x22855,x22856,x22857))
% 92.33/92.12 [2286]~E(x22861,x22862)+E(f505(x22863,x22861,x22864,x22865,x22866,x22867),f505(x22863,x22862,x22864,x22865,x22866,x22867))
% 92.33/92.12 [2287]~E(x22871,x22872)+E(f505(x22873,x22874,x22871,x22875,x22876,x22877),f505(x22873,x22874,x22872,x22875,x22876,x22877))
% 92.33/92.12 [2288]~E(x22881,x22882)+E(f505(x22883,x22884,x22885,x22881,x22886,x22887),f505(x22883,x22884,x22885,x22882,x22886,x22887))
% 92.33/92.12 [2289]~E(x22891,x22892)+E(f505(x22893,x22894,x22895,x22896,x22891,x22897),f505(x22893,x22894,x22895,x22896,x22892,x22897))
% 92.33/92.12 [2290]~E(x22901,x22902)+E(f505(x22903,x22904,x22905,x22906,x22907,x22901),f505(x22903,x22904,x22905,x22906,x22907,x22902))
% 92.33/92.12 [2291]~E(x22911,x22912)+E(f423(x22911,x22913,x22914),f423(x22912,x22913,x22914))
% 92.33/92.12 [2292]~E(x22921,x22922)+E(f423(x22923,x22921,x22924),f423(x22923,x22922,x22924))
% 92.33/92.12 [2293]~E(x22931,x22932)+E(f423(x22933,x22934,x22931),f423(x22933,x22934,x22932))
% 92.33/92.12 [2294]~E(x22941,x22942)+E(f351(x22941,x22943,x22944),f351(x22942,x22943,x22944))
% 92.33/92.12 [2295]~E(x22951,x22952)+E(f351(x22953,x22951,x22954),f351(x22953,x22952,x22954))
% 92.33/92.12 [2296]~E(x22961,x22962)+E(f351(x22963,x22964,x22961),f351(x22963,x22964,x22962))
% 92.33/92.12 [2297]~E(x22971,x22972)+E(f216(x22971,x22973,x22974,x22975,x22976),f216(x22972,x22973,x22974,x22975,x22976))
% 92.33/92.12 [2298]~E(x22981,x22982)+E(f216(x22983,x22981,x22984,x22985,x22986),f216(x22983,x22982,x22984,x22985,x22986))
% 92.33/92.12 [2299]~E(x22991,x22992)+E(f216(x22993,x22994,x22991,x22995,x22996),f216(x22993,x22994,x22992,x22995,x22996))
% 92.33/92.12 [2300]~E(x23001,x23002)+E(f216(x23003,x23004,x23005,x23001,x23006),f216(x23003,x23004,x23005,x23002,x23006))
% 92.33/92.12 [2301]~E(x23011,x23012)+E(f216(x23013,x23014,x23015,x23016,x23011),f216(x23013,x23014,x23015,x23016,x23012))
% 92.33/92.12 [2302]~E(x23021,x23022)+E(f136(x23021,x23023),f136(x23022,x23023))
% 92.33/92.12 [2303]~E(x23031,x23032)+E(f136(x23033,x23031),f136(x23033,x23032))
% 92.33/92.12 [2304]~E(x23041,x23042)+E(f17(x23041,x23043,x23044,x23045),f17(x23042,x23043,x23044,x23045))
% 92.33/92.12 [2305]~E(x23051,x23052)+E(f17(x23053,x23051,x23054,x23055),f17(x23053,x23052,x23054,x23055))
% 92.33/92.12 [2306]~E(x23061,x23062)+E(f17(x23063,x23064,x23061,x23065),f17(x23063,x23064,x23062,x23065))
% 92.33/92.12 [2307]~E(x23071,x23072)+E(f17(x23073,x23074,x23075,x23071),f17(x23073,x23074,x23075,x23072))
% 92.33/92.12 [2308]~E(x23081,x23082)+E(f439(x23081,x23083),f439(x23082,x23083))
% 92.33/92.12 [2309]~E(x23091,x23092)+E(f439(x23093,x23091),f439(x23093,x23092))
% 92.33/92.12 [2310]~E(x23101,x23102)+E(f476(x23101),f476(x23102))
% 92.33/92.12 [2311]~E(x23111,x23112)+E(f909(x23111),f909(x23112))
% 92.33/92.12 [2312]~E(x23121,x23122)+E(f655(x23121,x23123,x23124),f655(x23122,x23123,x23124))
% 92.33/92.12 [2313]~E(x23131,x23132)+E(f655(x23133,x23131,x23134),f655(x23133,x23132,x23134))
% 92.33/92.12 [2314]~E(x23141,x23142)+E(f655(x23143,x23144,x23141),f655(x23143,x23144,x23142))
% 92.33/92.12 [2315]~E(x23151,x23152)+E(f747(x23151,x23153,x23154,x23155),f747(x23152,x23153,x23154,x23155))
% 92.33/92.12 [2316]~E(x23161,x23162)+E(f747(x23163,x23161,x23164,x23165),f747(x23163,x23162,x23164,x23165))
% 92.33/92.12 [2317]~E(x23171,x23172)+E(f747(x23173,x23174,x23171,x23175),f747(x23173,x23174,x23172,x23175))
% 92.33/92.12 [2318]~E(x23181,x23182)+E(f747(x23183,x23184,x23185,x23181),f747(x23183,x23184,x23185,x23182))
% 92.33/92.12 [2319]~E(x23191,x23192)+E(f438(x23191,x23193,x23194),f438(x23192,x23193,x23194))
% 92.33/92.12 [2320]~E(x23201,x23202)+E(f438(x23203,x23201,x23204),f438(x23203,x23202,x23204))
% 92.33/92.12 [2321]~E(x23211,x23212)+E(f438(x23213,x23214,x23211),f438(x23213,x23214,x23212))
% 92.33/92.12 [2322]~E(x23221,x23222)+E(f418(x23221,x23223,x23224,x23225),f418(x23222,x23223,x23224,x23225))
% 92.33/92.12 [2323]~E(x23231,x23232)+E(f418(x23233,x23231,x23234,x23235),f418(x23233,x23232,x23234,x23235))
% 92.33/92.12 [2324]~E(x23241,x23242)+E(f418(x23243,x23244,x23241,x23245),f418(x23243,x23244,x23242,x23245))
% 92.33/92.12 [2325]~E(x23251,x23252)+E(f418(x23253,x23254,x23255,x23251),f418(x23253,x23254,x23255,x23252))
% 92.33/92.12 [2326]~E(x23261,x23262)+E(f832(x23261,x23263,x23264,x23265,x23266,x23267),f832(x23262,x23263,x23264,x23265,x23266,x23267))
% 92.33/92.12 [2327]~E(x23271,x23272)+E(f832(x23273,x23271,x23274,x23275,x23276,x23277),f832(x23273,x23272,x23274,x23275,x23276,x23277))
% 92.33/92.12 [2328]~E(x23281,x23282)+E(f832(x23283,x23284,x23281,x23285,x23286,x23287),f832(x23283,x23284,x23282,x23285,x23286,x23287))
% 92.33/92.12 [2329]~E(x23291,x23292)+E(f832(x23293,x23294,x23295,x23291,x23296,x23297),f832(x23293,x23294,x23295,x23292,x23296,x23297))
% 92.33/92.12 [2330]~E(x23301,x23302)+E(f832(x23303,x23304,x23305,x23306,x23301,x23307),f832(x23303,x23304,x23305,x23306,x23302,x23307))
% 92.33/92.12 [2331]~E(x23311,x23312)+E(f832(x23313,x23314,x23315,x23316,x23317,x23311),f832(x23313,x23314,x23315,x23316,x23317,x23312))
% 92.33/92.12 [2332]~E(x23321,x23322)+E(f779(x23321),f779(x23322))
% 92.33/92.12 [2333]~E(x23331,x23332)+E(f420(x23331,x23333,x23334,x23335,x23336),f420(x23332,x23333,x23334,x23335,x23336))
% 92.33/92.12 [2334]~E(x23341,x23342)+E(f420(x23343,x23341,x23344,x23345,x23346),f420(x23343,x23342,x23344,x23345,x23346))
% 92.33/92.12 [2335]~E(x23351,x23352)+E(f420(x23353,x23354,x23351,x23355,x23356),f420(x23353,x23354,x23352,x23355,x23356))
% 92.33/92.12 [2336]~E(x23361,x23362)+E(f420(x23363,x23364,x23365,x23361,x23366),f420(x23363,x23364,x23365,x23362,x23366))
% 92.33/92.12 [2337]~E(x23371,x23372)+E(f420(x23373,x23374,x23375,x23376,x23371),f420(x23373,x23374,x23375,x23376,x23372))
% 92.33/92.12 [2338]~E(x23381,x23382)+E(f552(x23381,x23383,x23384,x23385),f552(x23382,x23383,x23384,x23385))
% 92.33/92.12 [2339]~E(x23391,x23392)+E(f552(x23393,x23391,x23394,x23395),f552(x23393,x23392,x23394,x23395))
% 92.33/92.12 [2340]~E(x23401,x23402)+E(f552(x23403,x23404,x23401,x23405),f552(x23403,x23404,x23402,x23405))
% 92.33/92.12 [2341]~E(x23411,x23412)+E(f552(x23413,x23414,x23415,x23411),f552(x23413,x23414,x23415,x23412))
% 92.33/92.12 [2342]~E(x23421,x23422)+E(f38(x23421),f38(x23422))
% 92.33/92.12 [2343]~E(x23431,x23432)+E(f877(x23431,x23433,x23434),f877(x23432,x23433,x23434))
% 92.33/92.12 [2344]~E(x23441,x23442)+E(f877(x23443,x23441,x23444),f877(x23443,x23442,x23444))
% 92.33/92.12 [2345]~E(x23451,x23452)+E(f877(x23453,x23454,x23451),f877(x23453,x23454,x23452))
% 92.33/92.12 [2346]~E(x23461,x23462)+E(f188(x23461,x23463,x23464,x23465),f188(x23462,x23463,x23464,x23465))
% 92.33/92.12 [2347]~E(x23471,x23472)+E(f188(x23473,x23471,x23474,x23475),f188(x23473,x23472,x23474,x23475))
% 92.33/92.12 [2348]~E(x23481,x23482)+E(f188(x23483,x23484,x23481,x23485),f188(x23483,x23484,x23482,x23485))
% 92.33/92.12 [2349]~E(x23491,x23492)+E(f188(x23493,x23494,x23495,x23491),f188(x23493,x23494,x23495,x23492))
% 92.33/92.12 [2350]~E(x23501,x23502)+E(f265(x23501,x23503),f265(x23502,x23503))
% 92.33/92.12 [2351]~E(x23511,x23512)+E(f265(x23513,x23511),f265(x23513,x23512))
% 92.33/92.12 [2352]~E(x23521,x23522)+E(f218(x23521,x23523,x23524),f218(x23522,x23523,x23524))
% 92.33/92.12 [2353]~E(x23531,x23532)+E(f218(x23533,x23531,x23534),f218(x23533,x23532,x23534))
% 92.33/92.12 [2354]~E(x23541,x23542)+E(f218(x23543,x23544,x23541),f218(x23543,x23544,x23542))
% 92.33/92.12 [2355]~E(x23551,x23552)+E(f716(x23551,x23553,x23554),f716(x23552,x23553,x23554))
% 92.33/92.12 [2356]~E(x23561,x23562)+E(f716(x23563,x23561,x23564),f716(x23563,x23562,x23564))
% 92.33/92.12 [2357]~E(x23571,x23572)+E(f716(x23573,x23574,x23571),f716(x23573,x23574,x23572))
% 92.33/92.12 [2358]~E(x23581,x23582)+E(f381(x23581,x23583,x23584,x23585,x23586),f381(x23582,x23583,x23584,x23585,x23586))
% 92.33/92.12 [2359]~E(x23591,x23592)+E(f381(x23593,x23591,x23594,x23595,x23596),f381(x23593,x23592,x23594,x23595,x23596))
% 92.33/92.12 [2360]~E(x23601,x23602)+E(f381(x23603,x23604,x23601,x23605,x23606),f381(x23603,x23604,x23602,x23605,x23606))
% 92.33/92.12 [2361]~E(x23611,x23612)+E(f381(x23613,x23614,x23615,x23611,x23616),f381(x23613,x23614,x23615,x23612,x23616))
% 92.33/92.12 [2362]~E(x23621,x23622)+E(f381(x23623,x23624,x23625,x23626,x23621),f381(x23623,x23624,x23625,x23626,x23622))
% 92.33/92.12 [2363]~E(x23631,x23632)+E(f616(x23631,x23633,x23634,x23635,x23636),f616(x23632,x23633,x23634,x23635,x23636))
% 92.33/92.12 [2364]~E(x23641,x23642)+E(f616(x23643,x23641,x23644,x23645,x23646),f616(x23643,x23642,x23644,x23645,x23646))
% 92.33/92.12 [2365]~E(x23651,x23652)+E(f616(x23653,x23654,x23651,x23655,x23656),f616(x23653,x23654,x23652,x23655,x23656))
% 92.33/92.12 [2366]~E(x23661,x23662)+E(f616(x23663,x23664,x23665,x23661,x23666),f616(x23663,x23664,x23665,x23662,x23666))
% 92.33/92.12 [2367]~E(x23671,x23672)+E(f616(x23673,x23674,x23675,x23676,x23671),f616(x23673,x23674,x23675,x23676,x23672))
% 92.33/92.12 [2368]~E(x23681,x23682)+E(f417(x23681,x23683,x23684),f417(x23682,x23683,x23684))
% 92.33/92.12 [2369]~E(x23691,x23692)+E(f417(x23693,x23691,x23694),f417(x23693,x23692,x23694))
% 92.33/92.12 [2370]~E(x23701,x23702)+E(f417(x23703,x23704,x23701),f417(x23703,x23704,x23702))
% 92.33/92.12 [2371]~E(x23711,x23712)+E(f283(x23711,x23713),f283(x23712,x23713))
% 92.33/92.12 [2372]~E(x23721,x23722)+E(f283(x23723,x23721),f283(x23723,x23722))
% 92.33/92.12 [2373]~E(x23731,x23732)+E(f773(x23731,x23733,x23734,x23735),f773(x23732,x23733,x23734,x23735))
% 92.33/92.12 [2374]~E(x23741,x23742)+E(f773(x23743,x23741,x23744,x23745),f773(x23743,x23742,x23744,x23745))
% 92.33/92.12 [2375]~E(x23751,x23752)+E(f773(x23753,x23754,x23751,x23755),f773(x23753,x23754,x23752,x23755))
% 92.33/92.12 [2376]~E(x23761,x23762)+E(f773(x23763,x23764,x23765,x23761),f773(x23763,x23764,x23765,x23762))
% 92.33/92.12 [2377]~E(x23771,x23772)+E(f215(x23771,x23773,x23774,x23775,x23776),f215(x23772,x23773,x23774,x23775,x23776))
% 92.33/92.12 [2378]~E(x23781,x23782)+E(f215(x23783,x23781,x23784,x23785,x23786),f215(x23783,x23782,x23784,x23785,x23786))
% 92.33/92.12 [2379]~E(x23791,x23792)+E(f215(x23793,x23794,x23791,x23795,x23796),f215(x23793,x23794,x23792,x23795,x23796))
% 92.33/92.12 [2380]~E(x23801,x23802)+E(f215(x23803,x23804,x23805,x23801,x23806),f215(x23803,x23804,x23805,x23802,x23806))
% 92.33/92.12 [2381]~E(x23811,x23812)+E(f215(x23813,x23814,x23815,x23816,x23811),f215(x23813,x23814,x23815,x23816,x23812))
% 92.33/92.12 [2382]~E(x23821,x23822)+E(f333(x23821,x23823,x23824),f333(x23822,x23823,x23824))
% 92.33/92.12 [2383]~E(x23831,x23832)+E(f333(x23833,x23831,x23834),f333(x23833,x23832,x23834))
% 92.33/92.12 [2384]~E(x23841,x23842)+E(f333(x23843,x23844,x23841),f333(x23843,x23844,x23842))
% 92.33/92.12 [2385]~E(x23851,x23852)+E(f288(x23851,x23853,x23854),f288(x23852,x23853,x23854))
% 92.33/92.12 [2386]~E(x23861,x23862)+E(f288(x23863,x23861,x23864),f288(x23863,x23862,x23864))
% 92.33/92.12 [2387]~E(x23871,x23872)+E(f288(x23873,x23874,x23871),f288(x23873,x23874,x23872))
% 92.33/92.12 [2388]~E(x23881,x23882)+E(f728(x23881,x23883,x23884),f728(x23882,x23883,x23884))
% 92.33/92.12 [2389]~E(x23891,x23892)+E(f728(x23893,x23891,x23894),f728(x23893,x23892,x23894))
% 92.33/92.12 [2390]~E(x23901,x23902)+E(f728(x23903,x23904,x23901),f728(x23903,x23904,x23902))
% 92.33/92.12 [2391]~E(x23911,x23912)+E(f831(x23911,x23913,x23914,x23915,x23916,x23917),f831(x23912,x23913,x23914,x23915,x23916,x23917))
% 92.33/92.12 [2392]~E(x23921,x23922)+E(f831(x23923,x23921,x23924,x23925,x23926,x23927),f831(x23923,x23922,x23924,x23925,x23926,x23927))
% 92.33/92.12 [2393]~E(x23931,x23932)+E(f831(x23933,x23934,x23931,x23935,x23936,x23937),f831(x23933,x23934,x23932,x23935,x23936,x23937))
% 92.33/92.12 [2394]~E(x23941,x23942)+E(f831(x23943,x23944,x23945,x23941,x23946,x23947),f831(x23943,x23944,x23945,x23942,x23946,x23947))
% 92.33/92.12 [2395]~E(x23951,x23952)+E(f831(x23953,x23954,x23955,x23956,x23951,x23957),f831(x23953,x23954,x23955,x23956,x23952,x23957))
% 92.33/92.12 [2396]~E(x23961,x23962)+E(f831(x23963,x23964,x23965,x23966,x23967,x23961),f831(x23963,x23964,x23965,x23966,x23967,x23962))
% 92.33/92.12 [2397]~E(x23971,x23972)+E(f465(x23971,x23973,x23974,x23975),f465(x23972,x23973,x23974,x23975))
% 92.33/92.12 [2398]~E(x23981,x23982)+E(f465(x23983,x23981,x23984,x23985),f465(x23983,x23982,x23984,x23985))
% 92.33/92.12 [2399]~E(x23991,x23992)+E(f465(x23993,x23994,x23991,x23995),f465(x23993,x23994,x23992,x23995))
% 92.33/92.12 [2400]~E(x24001,x24002)+E(f465(x24003,x24004,x24005,x24001),f465(x24003,x24004,x24005,x24002))
% 92.33/92.12 [2401]~E(x24011,x24012)+E(f637(x24011,x24013,x24014),f637(x24012,x24013,x24014))
% 92.33/92.12 [2402]~E(x24021,x24022)+E(f637(x24023,x24021,x24024),f637(x24023,x24022,x24024))
% 92.33/92.12 [2403]~E(x24031,x24032)+E(f637(x24033,x24034,x24031),f637(x24033,x24034,x24032))
% 92.33/92.12 [2404]~E(x24041,x24042)+E(f551(x24041,x24043,x24044),f551(x24042,x24043,x24044))
% 92.33/92.12 [2405]~E(x24051,x24052)+E(f551(x24053,x24051,x24054),f551(x24053,x24052,x24054))
% 92.33/92.12 [2406]~E(x24061,x24062)+E(f551(x24063,x24064,x24061),f551(x24063,x24064,x24062))
% 92.33/92.12 [2407]~E(x24071,x24072)+E(f849(x24071),f849(x24072))
% 92.33/92.12 [2408]~E(x24081,x24082)+E(f372(x24081,x24083),f372(x24082,x24083))
% 92.33/92.12 [2409]~E(x24091,x24092)+E(f372(x24093,x24091),f372(x24093,x24092))
% 92.33/92.12 [2410]~E(x24101,x24102)+E(f413(x24101,x24103,x24104,x24105),f413(x24102,x24103,x24104,x24105))
% 92.33/92.12 [2411]~E(x24111,x24112)+E(f413(x24113,x24111,x24114,x24115),f413(x24113,x24112,x24114,x24115))
% 92.33/92.12 [2412]~E(x24121,x24122)+E(f413(x24123,x24124,x24121,x24125),f413(x24123,x24124,x24122,x24125))
% 92.33/92.12 [2413]~E(x24131,x24132)+E(f413(x24133,x24134,x24135,x24131),f413(x24133,x24134,x24135,x24132))
% 92.33/92.12 [2414]~E(x24141,x24142)+E(f775(x24141,x24143,x24144,x24145),f775(x24142,x24143,x24144,x24145))
% 92.33/92.12 [2415]~E(x24151,x24152)+E(f775(x24153,x24151,x24154,x24155),f775(x24153,x24152,x24154,x24155))
% 92.33/92.12 [2416]~E(x24161,x24162)+E(f775(x24163,x24164,x24161,x24165),f775(x24163,x24164,x24162,x24165))
% 92.33/92.12 [2417]~E(x24171,x24172)+E(f775(x24173,x24174,x24175,x24171),f775(x24173,x24174,x24175,x24172))
% 92.33/92.12 [2418]~E(x24181,x24182)+E(f190(x24181),f190(x24182))
% 92.33/92.12 [2419]~E(x24191,x24192)+E(f887(x24191,x24193,x24194),f887(x24192,x24193,x24194))
% 92.33/92.12 [2420]~E(x24201,x24202)+E(f887(x24203,x24201,x24204),f887(x24203,x24202,x24204))
% 92.33/92.12 [2421]~E(x24211,x24212)+E(f887(x24213,x24214,x24211),f887(x24213,x24214,x24212))
% 92.33/92.12 [2422]~E(x24221,x24222)+E(f768(x24221),f768(x24222))
% 92.33/92.12 [2423]~E(x24231,x24232)+E(f222(x24231,x24233),f222(x24232,x24233))
% 92.33/92.12 [2424]~E(x24241,x24242)+E(f222(x24243,x24241),f222(x24243,x24242))
% 92.33/92.12 [2425]~E(x24251,x24252)+E(f550(x24251,x24253),f550(x24252,x24253))
% 92.33/92.12 [2426]~E(x24261,x24262)+E(f550(x24263,x24261),f550(x24263,x24262))
% 92.33/92.12 [2427]~E(x24271,x24272)+E(f682(x24271,x24273,x24274),f682(x24272,x24273,x24274))
% 92.33/92.12 [2428]~E(x24281,x24282)+E(f682(x24283,x24281,x24284),f682(x24283,x24282,x24284))
% 92.33/92.12 [2429]~E(x24291,x24292)+E(f682(x24293,x24294,x24291),f682(x24293,x24294,x24292))
% 92.33/92.12 [2430]~E(x24301,x24302)+E(f323(x24301),f323(x24302))
% 92.33/92.12 [2431]~E(x24311,x24312)+E(f675(x24311,x24313),f675(x24312,x24313))
% 92.33/92.12 [2432]~E(x24321,x24322)+E(f675(x24323,x24321),f675(x24323,x24322))
% 92.33/92.12 [2433]~E(x24331,x24332)+E(f535(x24331,x24333,x24334),f535(x24332,x24333,x24334))
% 92.33/92.12 [2434]~E(x24341,x24342)+E(f535(x24343,x24341,x24344),f535(x24343,x24342,x24344))
% 92.33/92.12 [2435]~E(x24351,x24352)+E(f535(x24353,x24354,x24351),f535(x24353,x24354,x24352))
% 92.33/92.12 [2436]~E(x24361,x24362)+E(f529(x24361,x24363,x24364,x24365),f529(x24362,x24363,x24364,x24365))
% 92.33/92.12 [2437]~E(x24371,x24372)+E(f529(x24373,x24371,x24374,x24375),f529(x24373,x24372,x24374,x24375))
% 92.33/92.12 [2438]~E(x24381,x24382)+E(f529(x24383,x24384,x24381,x24385),f529(x24383,x24384,x24382,x24385))
% 92.33/92.12 [2439]~E(x24391,x24392)+E(f529(x24393,x24394,x24395,x24391),f529(x24393,x24394,x24395,x24392))
% 92.33/92.12 [2440]~E(x24401,x24402)+E(f872(x24401,x24403),f872(x24402,x24403))
% 92.33/92.12 [2441]~E(x24411,x24412)+E(f872(x24413,x24411),f872(x24413,x24412))
% 92.33/92.12 [2442]~E(x24421,x24422)+E(f704(x24421,x24423),f704(x24422,x24423))
% 92.33/92.12 [2443]~E(x24431,x24432)+E(f704(x24433,x24431),f704(x24433,x24432))
% 92.33/92.12 [2444]~E(x24441,x24442)+E(f212(x24441,x24443,x24444),f212(x24442,x24443,x24444))
% 92.33/92.12 [2445]~E(x24451,x24452)+E(f212(x24453,x24451,x24454),f212(x24453,x24452,x24454))
% 92.33/92.12 [2446]~E(x24461,x24462)+E(f212(x24463,x24464,x24461),f212(x24463,x24464,x24462))
% 92.33/92.12 [2447]~E(x24471,x24472)+E(f534(x24471,x24473),f534(x24472,x24473))
% 92.33/92.12 [2448]~E(x24481,x24482)+E(f534(x24483,x24481),f534(x24483,x24482))
% 92.33/92.12 [2449]~E(x24491,x24492)+E(f324(x24491),f324(x24492))
% 92.33/92.12 [2450]~E(x24501,x24502)+E(f389(x24501,x24503,x24504,x24505),f389(x24502,x24503,x24504,x24505))
% 92.33/92.12 [2451]~E(x24511,x24512)+E(f389(x24513,x24511,x24514,x24515),f389(x24513,x24512,x24514,x24515))
% 92.33/92.12 [2452]~E(x24521,x24522)+E(f389(x24523,x24524,x24521,x24525),f389(x24523,x24524,x24522,x24525))
% 92.33/92.12 [2453]~E(x24531,x24532)+E(f389(x24533,x24534,x24535,x24531),f389(x24533,x24534,x24535,x24532))
% 92.33/92.12 [2454]~E(x24541,x24542)+E(f502(x24541,x24543,x24544),f502(x24542,x24543,x24544))
% 92.33/92.12 [2455]~E(x24551,x24552)+E(f502(x24553,x24551,x24554),f502(x24553,x24552,x24554))
% 92.33/92.12 [2456]~E(x24561,x24562)+E(f502(x24563,x24564,x24561),f502(x24563,x24564,x24562))
% 92.33/92.12 [2457]~E(x24571,x24572)+E(f598(x24571,x24573,x24574,x24575,x24576),f598(x24572,x24573,x24574,x24575,x24576))
% 92.33/92.12 [2458]~E(x24581,x24582)+E(f598(x24583,x24581,x24584,x24585,x24586),f598(x24583,x24582,x24584,x24585,x24586))
% 92.33/92.12 [2459]~E(x24591,x24592)+E(f598(x24593,x24594,x24591,x24595,x24596),f598(x24593,x24594,x24592,x24595,x24596))
% 92.33/92.12 [2460]~E(x24601,x24602)+E(f598(x24603,x24604,x24605,x24601,x24606),f598(x24603,x24604,x24605,x24602,x24606))
% 92.33/92.12 [2461]~E(x24611,x24612)+E(f598(x24613,x24614,x24615,x24616,x24611),f598(x24613,x24614,x24615,x24616,x24612))
% 92.33/92.12 [2462]~E(x24621,x24622)+E(f195(x24621,x24623,x24624,x24625),f195(x24622,x24623,x24624,x24625))
% 92.33/92.12 [2463]~E(x24631,x24632)+E(f195(x24633,x24631,x24634,x24635),f195(x24633,x24632,x24634,x24635))
% 92.33/92.12 [2464]~E(x24641,x24642)+E(f195(x24643,x24644,x24641,x24645),f195(x24643,x24644,x24642,x24645))
% 92.33/92.12 [2465]~E(x24651,x24652)+E(f195(x24653,x24654,x24655,x24651),f195(x24653,x24654,x24655,x24652))
% 92.33/92.12 [2466]~E(x24661,x24662)+E(f521(x24661,x24663),f521(x24662,x24663))
% 92.33/92.12 [2467]~E(x24671,x24672)+E(f521(x24673,x24671),f521(x24673,x24672))
% 92.33/92.12 [2468]~E(x24681,x24682)+E(f363(x24681,x24683,x24684,x24685,x24686),f363(x24682,x24683,x24684,x24685,x24686))
% 92.33/92.12 [2469]~E(x24691,x24692)+E(f363(x24693,x24691,x24694,x24695,x24696),f363(x24693,x24692,x24694,x24695,x24696))
% 92.33/92.12 [2470]~E(x24701,x24702)+E(f363(x24703,x24704,x24701,x24705,x24706),f363(x24703,x24704,x24702,x24705,x24706))
% 92.33/92.12 [2471]~E(x24711,x24712)+E(f363(x24713,x24714,x24715,x24711,x24716),f363(x24713,x24714,x24715,x24712,x24716))
% 92.33/92.12 [2472]~E(x24721,x24722)+E(f363(x24723,x24724,x24725,x24726,x24721),f363(x24723,x24724,x24725,x24726,x24722))
% 92.33/92.12 [2473]~E(x24731,x24732)+E(f604(x24731,x24733),f604(x24732,x24733))
% 92.33/92.12 [2474]~E(x24741,x24742)+E(f604(x24743,x24741),f604(x24743,x24742))
% 92.33/92.12 [2475]~E(x24751,x24752)+E(f780(x24751,x24753),f780(x24752,x24753))
% 92.33/92.12 [2476]~E(x24761,x24762)+E(f780(x24763,x24761),f780(x24763,x24762))
% 92.33/92.12 [2477]~E(x24771,x24772)+E(f503(x24771,x24773,x24774,x24775),f503(x24772,x24773,x24774,x24775))
% 92.33/92.12 [2478]~E(x24781,x24782)+E(f503(x24783,x24781,x24784,x24785),f503(x24783,x24782,x24784,x24785))
% 92.33/92.12 [2479]~E(x24791,x24792)+E(f503(x24793,x24794,x24791,x24795),f503(x24793,x24794,x24792,x24795))
% 92.33/92.12 [2480]~E(x24801,x24802)+E(f503(x24803,x24804,x24805,x24801),f503(x24803,x24804,x24805,x24802))
% 92.33/92.12 [2481]~E(x24811,x24812)+E(f634(x24811,x24813,x24814,x24815),f634(x24812,x24813,x24814,x24815))
% 92.33/92.12 [2482]~E(x24821,x24822)+E(f634(x24823,x24821,x24824,x24825),f634(x24823,x24822,x24824,x24825))
% 92.33/92.12 [2483]~E(x24831,x24832)+E(f634(x24833,x24834,x24831,x24835),f634(x24833,x24834,x24832,x24835))
% 92.33/92.12 [2484]~E(x24841,x24842)+E(f634(x24843,x24844,x24845,x24841),f634(x24843,x24844,x24845,x24842))
% 92.33/92.12 [2485]~E(x24851,x24852)+E(f477(x24851,x24853,x24854,x24855),f477(x24852,x24853,x24854,x24855))
% 92.33/92.12 [2486]~E(x24861,x24862)+E(f477(x24863,x24861,x24864,x24865),f477(x24863,x24862,x24864,x24865))
% 92.33/92.12 [2487]~E(x24871,x24872)+E(f477(x24873,x24874,x24871,x24875),f477(x24873,x24874,x24872,x24875))
% 92.33/92.12 [2488]~E(x24881,x24882)+E(f477(x24883,x24884,x24885,x24881),f477(x24883,x24884,x24885,x24882))
% 92.33/92.12 [2489]~E(x24891,x24892)+E(f236(x24891,x24893,x24894,x24895,x24896,x24897),f236(x24892,x24893,x24894,x24895,x24896,x24897))
% 92.33/92.12 [2490]~E(x24901,x24902)+E(f236(x24903,x24901,x24904,x24905,x24906,x24907),f236(x24903,x24902,x24904,x24905,x24906,x24907))
% 92.33/92.12 [2491]~E(x24911,x24912)+E(f236(x24913,x24914,x24911,x24915,x24916,x24917),f236(x24913,x24914,x24912,x24915,x24916,x24917))
% 92.33/92.12 [2492]~E(x24921,x24922)+E(f236(x24923,x24924,x24925,x24921,x24926,x24927),f236(x24923,x24924,x24925,x24922,x24926,x24927))
% 92.33/92.12 [2493]~E(x24931,x24932)+E(f236(x24933,x24934,x24935,x24936,x24931,x24937),f236(x24933,x24934,x24935,x24936,x24932,x24937))
% 92.33/92.12 [2494]~E(x24941,x24942)+E(f236(x24943,x24944,x24945,x24946,x24947,x24941),f236(x24943,x24944,x24945,x24946,x24947,x24942))
% 92.33/92.12 [2495]~E(x24951,x24952)+E(f366(x24951,x24953,x24954,x24955,x24956),f366(x24952,x24953,x24954,x24955,x24956))
% 92.33/92.12 [2496]~E(x24961,x24962)+E(f366(x24963,x24961,x24964,x24965,x24966),f366(x24963,x24962,x24964,x24965,x24966))
% 92.33/92.12 [2497]~E(x24971,x24972)+E(f366(x24973,x24974,x24971,x24975,x24976),f366(x24973,x24974,x24972,x24975,x24976))
% 92.33/92.12 [2498]~E(x24981,x24982)+E(f366(x24983,x24984,x24985,x24981,x24986),f366(x24983,x24984,x24985,x24982,x24986))
% 92.33/92.12 [2499]~E(x24991,x24992)+E(f366(x24993,x24994,x24995,x24996,x24991),f366(x24993,x24994,x24995,x24996,x24992))
% 92.33/92.12 [2500]~E(x25001,x25002)+E(f789(x25001,x25003,x25004,x25005,x25006,x25007,x25008),f789(x25002,x25003,x25004,x25005,x25006,x25007,x25008))
% 92.33/92.12 [2501]~E(x25011,x25012)+E(f789(x25013,x25011,x25014,x25015,x25016,x25017,x25018),f789(x25013,x25012,x25014,x25015,x25016,x25017,x25018))
% 92.33/92.12 [2502]~E(x25021,x25022)+E(f789(x25023,x25024,x25021,x25025,x25026,x25027,x25028),f789(x25023,x25024,x25022,x25025,x25026,x25027,x25028))
% 92.33/92.12 [2503]~E(x25031,x25032)+E(f789(x25033,x25034,x25035,x25031,x25036,x25037,x25038),f789(x25033,x25034,x25035,x25032,x25036,x25037,x25038))
% 92.33/92.12 [2504]~E(x25041,x25042)+E(f789(x25043,x25044,x25045,x25046,x25041,x25047,x25048),f789(x25043,x25044,x25045,x25046,x25042,x25047,x25048))
% 92.33/92.12 [2505]~E(x25051,x25052)+E(f789(x25053,x25054,x25055,x25056,x25057,x25051,x25058),f789(x25053,x25054,x25055,x25056,x25057,x25052,x25058))
% 92.33/92.12 [2506]~E(x25061,x25062)+E(f789(x25063,x25064,x25065,x25066,x25067,x25068,x25061),f789(x25063,x25064,x25065,x25066,x25067,x25068,x25062))
% 92.33/92.12 [2507]~E(x25071,x25072)+E(f362(x25071,x25073,x25074,x25075,x25076),f362(x25072,x25073,x25074,x25075,x25076))
% 92.33/92.12 [2508]~E(x25081,x25082)+E(f362(x25083,x25081,x25084,x25085,x25086),f362(x25083,x25082,x25084,x25085,x25086))
% 92.33/92.12 [2509]~E(x25091,x25092)+E(f362(x25093,x25094,x25091,x25095,x25096),f362(x25093,x25094,x25092,x25095,x25096))
% 92.33/92.12 [2510]~E(x25101,x25102)+E(f362(x25103,x25104,x25105,x25101,x25106),f362(x25103,x25104,x25105,x25102,x25106))
% 92.33/92.12 [2511]~E(x25111,x25112)+E(f362(x25113,x25114,x25115,x25116,x25111),f362(x25113,x25114,x25115,x25116,x25112))
% 92.33/92.12 [2512]~E(x25121,x25122)+E(f645(x25121,x25123,x25124,x25125),f645(x25122,x25123,x25124,x25125))
% 92.33/92.12 [2513]~E(x25131,x25132)+E(f645(x25133,x25131,x25134,x25135),f645(x25133,x25132,x25134,x25135))
% 92.33/92.12 [2514]~E(x25141,x25142)+E(f645(x25143,x25144,x25141,x25145),f645(x25143,x25144,x25142,x25145))
% 92.33/92.12 [2515]~E(x25151,x25152)+E(f645(x25153,x25154,x25155,x25151),f645(x25153,x25154,x25155,x25152))
% 92.33/92.12 [2516]~E(x25161,x25162)+E(f402(x25161,x25163),f402(x25162,x25163))
% 92.33/92.12 [2517]~E(x25171,x25172)+E(f402(x25173,x25171),f402(x25173,x25172))
% 92.33/92.12 [2518]~E(x25181,x25182)+E(f685(x25181,x25183),f685(x25182,x25183))
% 92.33/92.12 [2519]~E(x25191,x25192)+E(f685(x25193,x25191),f685(x25193,x25192))
% 92.33/92.12 [2520]~E(x25201,x25202)+E(f263(x25201,x25203,x25204,x25205),f263(x25202,x25203,x25204,x25205))
% 92.33/92.12 [2521]~E(x25211,x25212)+E(f263(x25213,x25211,x25214,x25215),f263(x25213,x25212,x25214,x25215))
% 92.33/92.12 [2522]~E(x25221,x25222)+E(f263(x25223,x25224,x25221,x25225),f263(x25223,x25224,x25222,x25225))
% 92.33/92.12 [2523]~E(x25231,x25232)+E(f263(x25233,x25234,x25235,x25231),f263(x25233,x25234,x25235,x25232))
% 92.33/92.12 [2524]~E(x25241,x25242)+E(f801(x25241),f801(x25242))
% 92.33/92.12 [2525]~E(x25251,x25252)+E(f609(x25251,x25253,x25254,x25255,x25256),f609(x25252,x25253,x25254,x25255,x25256))
% 92.33/92.12 [2526]~E(x25261,x25262)+E(f609(x25263,x25261,x25264,x25265,x25266),f609(x25263,x25262,x25264,x25265,x25266))
% 92.33/92.12 [2527]~E(x25271,x25272)+E(f609(x25273,x25274,x25271,x25275,x25276),f609(x25273,x25274,x25272,x25275,x25276))
% 92.33/92.12 [2528]~E(x25281,x25282)+E(f609(x25283,x25284,x25285,x25281,x25286),f609(x25283,x25284,x25285,x25282,x25286))
% 92.33/92.12 [2529]~E(x25291,x25292)+E(f609(x25293,x25294,x25295,x25296,x25291),f609(x25293,x25294,x25295,x25296,x25292))
% 92.33/92.12 [2530]~E(x25301,x25302)+E(f472(x25301,x25303,x25304,x25305,x25306),f472(x25302,x25303,x25304,x25305,x25306))
% 92.33/92.12 [2531]~E(x25311,x25312)+E(f472(x25313,x25311,x25314,x25315,x25316),f472(x25313,x25312,x25314,x25315,x25316))
% 92.33/92.12 [2532]~E(x25321,x25322)+E(f472(x25323,x25324,x25321,x25325,x25326),f472(x25323,x25324,x25322,x25325,x25326))
% 92.33/92.12 [2533]~E(x25331,x25332)+E(f472(x25333,x25334,x25335,x25331,x25336),f472(x25333,x25334,x25335,x25332,x25336))
% 92.33/92.12 [2534]~E(x25341,x25342)+E(f472(x25343,x25344,x25345,x25346,x25341),f472(x25343,x25344,x25345,x25346,x25342))
% 92.33/92.12 [2535]~E(x25351,x25352)+E(f663(x25351,x25353,x25354,x25355),f663(x25352,x25353,x25354,x25355))
% 92.33/92.12 [2536]~E(x25361,x25362)+E(f663(x25363,x25361,x25364,x25365),f663(x25363,x25362,x25364,x25365))
% 92.33/92.12 [2537]~E(x25371,x25372)+E(f663(x25373,x25374,x25371,x25375),f663(x25373,x25374,x25372,x25375))
% 92.33/92.12 [2538]~E(x25381,x25382)+E(f663(x25383,x25384,x25385,x25381),f663(x25383,x25384,x25385,x25382))
% 92.33/92.12 [2539]~E(x25391,x25392)+E(f515(x25391,x25393),f515(x25392,x25393))
% 92.33/92.12 [2540]~E(x25401,x25402)+E(f515(x25403,x25401),f515(x25403,x25402))
% 92.33/92.12 [2541]~E(x25411,x25412)+E(f803(x25411,x25413),f803(x25412,x25413))
% 92.33/92.12 [2542]~E(x25421,x25422)+E(f803(x25423,x25421),f803(x25423,x25422))
% 92.33/92.12 [2543]~E(x25431,x25432)+E(f469(x25431,x25433,x25434,x25435,x25436),f469(x25432,x25433,x25434,x25435,x25436))
% 92.33/92.12 [2544]~E(x25441,x25442)+E(f469(x25443,x25441,x25444,x25445,x25446),f469(x25443,x25442,x25444,x25445,x25446))
% 92.33/92.12 [2545]~E(x25451,x25452)+E(f469(x25453,x25454,x25451,x25455,x25456),f469(x25453,x25454,x25452,x25455,x25456))
% 92.33/92.12 [2546]~E(x25461,x25462)+E(f469(x25463,x25464,x25465,x25461,x25466),f469(x25463,x25464,x25465,x25462,x25466))
% 92.33/92.12 [2547]~E(x25471,x25472)+E(f469(x25473,x25474,x25475,x25476,x25471),f469(x25473,x25474,x25475,x25476,x25472))
% 92.33/92.12 [2548]~E(x25481,x25482)+E(f532(x25481,x25483,x25484,x25485),f532(x25482,x25483,x25484,x25485))
% 92.33/92.12 [2549]~E(x25491,x25492)+E(f532(x25493,x25491,x25494,x25495),f532(x25493,x25492,x25494,x25495))
% 92.33/92.12 [2550]~E(x25501,x25502)+E(f532(x25503,x25504,x25501,x25505),f532(x25503,x25504,x25502,x25505))
% 92.33/92.12 [2551]~E(x25511,x25512)+E(f532(x25513,x25514,x25515,x25511),f532(x25513,x25514,x25515,x25512))
% 92.33/92.12 [2552]~E(x25521,x25522)+E(f444(x25521,x25523,x25524,x25525,x25526),f444(x25522,x25523,x25524,x25525,x25526))
% 92.33/92.12 [2553]~E(x25531,x25532)+E(f444(x25533,x25531,x25534,x25535,x25536),f444(x25533,x25532,x25534,x25535,x25536))
% 92.33/92.12 [2554]~E(x25541,x25542)+E(f444(x25543,x25544,x25541,x25545,x25546),f444(x25543,x25544,x25542,x25545,x25546))
% 92.33/92.12 [2555]~E(x25551,x25552)+E(f444(x25553,x25554,x25555,x25551,x25556),f444(x25553,x25554,x25555,x25552,x25556))
% 92.33/92.12 [2556]~E(x25561,x25562)+E(f444(x25563,x25564,x25565,x25566,x25561),f444(x25563,x25564,x25565,x25566,x25562))
% 92.33/92.12 [2557]~E(x25571,x25572)+E(f848(x25571),f848(x25572))
% 92.33/92.12 [2558]~E(x25581,x25582)+E(f549(x25581,x25583),f549(x25582,x25583))
% 92.33/92.12 [2559]~E(x25591,x25592)+E(f549(x25593,x25591),f549(x25593,x25592))
% 92.33/92.12 [2560]~E(x25601,x25602)+E(f683(x25601,x25603),f683(x25602,x25603))
% 92.33/92.12 [2561]~E(x25611,x25612)+E(f683(x25613,x25611),f683(x25613,x25612))
% 92.33/92.12 [2562]~E(x25621,x25622)+E(f487(x25621,x25623,x25624),f487(x25622,x25623,x25624))
% 92.33/92.12 [2563]~E(x25631,x25632)+E(f487(x25633,x25631,x25634),f487(x25633,x25632,x25634))
% 92.33/92.12 [2564]~E(x25641,x25642)+E(f487(x25643,x25644,x25641),f487(x25643,x25644,x25642))
% 92.33/92.12 [2565]~E(x25651,x25652)+E(f21(x25651,x25653),f21(x25652,x25653))
% 92.33/92.12 [2566]~E(x25661,x25662)+E(f21(x25663,x25661),f21(x25663,x25662))
% 92.33/92.12 [2567]~E(x25671,x25672)+E(f635(x25671,x25673,x25674),f635(x25672,x25673,x25674))
% 92.33/92.12 [2568]~E(x25681,x25682)+E(f635(x25683,x25681,x25684),f635(x25683,x25682,x25684))
% 92.33/92.12 [2569]~E(x25691,x25692)+E(f635(x25693,x25694,x25691),f635(x25693,x25694,x25692))
% 92.33/92.12 [2570]~E(x25701,x25702)+E(f250(x25701,x25703,x25704,x25705,x25706),f250(x25702,x25703,x25704,x25705,x25706))
% 92.33/92.12 [2571]~E(x25711,x25712)+E(f250(x25713,x25711,x25714,x25715,x25716),f250(x25713,x25712,x25714,x25715,x25716))
% 92.33/92.12 [2572]~E(x25721,x25722)+E(f250(x25723,x25724,x25721,x25725,x25726),f250(x25723,x25724,x25722,x25725,x25726))
% 92.33/92.12 [2573]~E(x25731,x25732)+E(f250(x25733,x25734,x25735,x25731,x25736),f250(x25733,x25734,x25735,x25732,x25736))
% 92.33/92.12 [2574]~E(x25741,x25742)+E(f250(x25743,x25744,x25745,x25746,x25741),f250(x25743,x25744,x25745,x25746,x25742))
% 92.33/92.12 [2575]~E(x25751,x25752)+E(f668(x25751,x25753,x25754),f668(x25752,x25753,x25754))
% 92.33/92.12 [2576]~E(x25761,x25762)+E(f668(x25763,x25761,x25764),f668(x25763,x25762,x25764))
% 92.33/92.12 [2577]~E(x25771,x25772)+E(f668(x25773,x25774,x25771),f668(x25773,x25774,x25772))
% 92.33/92.12 [2578]~E(x25781,x25782)+E(f871(x25781,x25783),f871(x25782,x25783))
% 92.33/92.12 [2579]~E(x25791,x25792)+E(f871(x25793,x25791),f871(x25793,x25792))
% 92.33/92.12 [2580]~E(x25801,x25802)+E(f805(x25801,x25803),f805(x25802,x25803))
% 92.33/92.12 [2581]~E(x25811,x25812)+E(f805(x25813,x25811),f805(x25813,x25812))
% 92.33/92.12 [2582]~E(x25821,x25822)+E(f520(x25821,x25823,x25824),f520(x25822,x25823,x25824))
% 92.33/92.12 [2583]~E(x25831,x25832)+E(f520(x25833,x25831,x25834),f520(x25833,x25832,x25834))
% 92.33/92.12 [2584]~E(x25841,x25842)+E(f520(x25843,x25844,x25841),f520(x25843,x25844,x25842))
% 92.33/92.12 [2585]~E(x25851,x25852)+E(f478(x25851,x25853),f478(x25852,x25853))
% 92.33/92.12 [2586]~E(x25861,x25862)+E(f478(x25863,x25861),f478(x25863,x25862))
% 92.33/92.12 [2587]~E(x25871,x25872)+E(f445(x25871,x25873,x25874,x25875,x25876),f445(x25872,x25873,x25874,x25875,x25876))
% 92.33/92.12 [2588]~E(x25881,x25882)+E(f445(x25883,x25881,x25884,x25885,x25886),f445(x25883,x25882,x25884,x25885,x25886))
% 92.33/92.12 [2589]~E(x25891,x25892)+E(f445(x25893,x25894,x25891,x25895,x25896),f445(x25893,x25894,x25892,x25895,x25896))
% 92.33/92.12 [2590]~E(x25901,x25902)+E(f445(x25903,x25904,x25905,x25901,x25906),f445(x25903,x25904,x25905,x25902,x25906))
% 92.33/92.12 [2591]~E(x25911,x25912)+E(f445(x25913,x25914,x25915,x25916,x25911),f445(x25913,x25914,x25915,x25916,x25912))
% 92.33/92.12 [2592]~E(x25921,x25922)+E(f432(x25921,x25923),f432(x25922,x25923))
% 92.33/92.12 [2593]~E(x25931,x25932)+E(f432(x25933,x25931),f432(x25933,x25932))
% 92.33/92.12 [2594]~E(x25941,x25942)+E(f533(x25941,x25943),f533(x25942,x25943))
% 92.33/92.12 [2595]~E(x25951,x25952)+E(f533(x25953,x25951),f533(x25953,x25952))
% 92.33/92.12 [2596]~E(x25961,x25962)+E(f602(x25961,x25963,x25964),f602(x25962,x25963,x25964))
% 92.33/92.12 [2597]~E(x25971,x25972)+E(f602(x25973,x25971,x25974),f602(x25973,x25972,x25974))
% 92.33/92.12 [2598]~E(x25981,x25982)+E(f602(x25983,x25984,x25981),f602(x25983,x25984,x25982))
% 92.33/92.12 [2599]~E(x25991,x25992)+E(f397(x25991,x25993,x25994,x25995),f397(x25992,x25993,x25994,x25995))
% 92.33/92.12 [2600]~E(x26001,x26002)+E(f397(x26003,x26001,x26004,x26005),f397(x26003,x26002,x26004,x26005))
% 92.33/92.12 [2601]~E(x26011,x26012)+E(f397(x26013,x26014,x26011,x26015),f397(x26013,x26014,x26012,x26015))
% 92.33/92.12 [2602]~E(x26021,x26022)+E(f397(x26023,x26024,x26025,x26021),f397(x26023,x26024,x26025,x26022))
% 92.33/92.12 [2603]~E(x26031,x26032)+E(f327(x26031,x26033,x26034,x26035),f327(x26032,x26033,x26034,x26035))
% 92.33/92.12 [2604]~E(x26041,x26042)+E(f327(x26043,x26041,x26044,x26045),f327(x26043,x26042,x26044,x26045))
% 92.33/92.12 [2605]~E(x26051,x26052)+E(f327(x26053,x26054,x26051,x26055),f327(x26053,x26054,x26052,x26055))
% 92.33/92.12 [2606]~E(x26061,x26062)+E(f327(x26063,x26064,x26065,x26061),f327(x26063,x26064,x26065,x26062))
% 92.33/92.12 [2607]~E(x26071,x26072)+E(f486(x26071,x26073,x26074),f486(x26072,x26073,x26074))
% 92.33/92.12 [2608]~E(x26081,x26082)+E(f486(x26083,x26081,x26084),f486(x26083,x26082,x26084))
% 92.33/92.12 [2609]~E(x26091,x26092)+E(f486(x26093,x26094,x26091),f486(x26093,x26094,x26092))
% 92.33/92.12 [2610]~E(x26101,x26102)+E(f824(x26101,x26103,x26104,x26105),f824(x26102,x26103,x26104,x26105))
% 92.33/92.12 [2611]~E(x26111,x26112)+E(f824(x26113,x26111,x26114,x26115),f824(x26113,x26112,x26114,x26115))
% 92.33/92.12 [2612]~E(x26121,x26122)+E(f824(x26123,x26124,x26121,x26125),f824(x26123,x26124,x26122,x26125))
% 92.33/92.12 [2613]~E(x26131,x26132)+E(f824(x26133,x26134,x26135,x26131),f824(x26133,x26134,x26135,x26132))
% 92.33/92.12 [2614]~E(x26141,x26142)+E(f340(x26141,x26143),f340(x26142,x26143))
% 92.33/92.12 [2615]~E(x26151,x26152)+E(f340(x26153,x26151),f340(x26153,x26152))
% 92.33/92.12 [2616]~E(x26161,x26162)+E(f361(x26161,x26163,x26164,x26165,x26166),f361(x26162,x26163,x26164,x26165,x26166))
% 92.33/92.12 [2617]~E(x26171,x26172)+E(f361(x26173,x26171,x26174,x26175,x26176),f361(x26173,x26172,x26174,x26175,x26176))
% 92.33/92.12 [2618]~E(x26181,x26182)+E(f361(x26183,x26184,x26181,x26185,x26186),f361(x26183,x26184,x26182,x26185,x26186))
% 92.33/92.12 [2619]~E(x26191,x26192)+E(f361(x26193,x26194,x26195,x26191,x26196),f361(x26193,x26194,x26195,x26192,x26196))
% 92.33/92.12 [2620]~E(x26201,x26202)+E(f361(x26203,x26204,x26205,x26206,x26201),f361(x26203,x26204,x26205,x26206,x26202))
% 92.33/92.12 [2621]~E(x26211,x26212)+E(f431(x26211,x26213,x26214,x26215,x26216),f431(x26212,x26213,x26214,x26215,x26216))
% 92.33/92.12 [2622]~E(x26221,x26222)+E(f431(x26223,x26221,x26224,x26225,x26226),f431(x26223,x26222,x26224,x26225,x26226))
% 92.33/92.12 [2623]~E(x26231,x26232)+E(f431(x26233,x26234,x26231,x26235,x26236),f431(x26233,x26234,x26232,x26235,x26236))
% 92.33/92.12 [2624]~E(x26241,x26242)+E(f431(x26243,x26244,x26245,x26241,x26246),f431(x26243,x26244,x26245,x26242,x26246))
% 92.33/92.12 [2625]~E(x26251,x26252)+E(f431(x26253,x26254,x26255,x26256,x26251),f431(x26253,x26254,x26255,x26256,x26252))
% 92.33/92.12 [2626]~E(x26261,x26262)+E(f251(x26261,x26263,x26264,x26265,x26266),f251(x26262,x26263,x26264,x26265,x26266))
% 92.33/92.12 [2627]~E(x26271,x26272)+E(f251(x26273,x26271,x26274,x26275,x26276),f251(x26273,x26272,x26274,x26275,x26276))
% 92.33/92.12 [2628]~E(x26281,x26282)+E(f251(x26283,x26284,x26281,x26285,x26286),f251(x26283,x26284,x26282,x26285,x26286))
% 92.33/92.12 [2629]~E(x26291,x26292)+E(f251(x26293,x26294,x26295,x26291,x26296),f251(x26293,x26294,x26295,x26292,x26296))
% 92.33/92.12 [2630]~E(x26301,x26302)+E(f251(x26303,x26304,x26305,x26306,x26301),f251(x26303,x26304,x26305,x26306,x26302))
% 92.33/92.12 [2631]~E(x26311,x26312)+E(f496(x26311),f496(x26312))
% 92.33/92.12 [2632]~E(x26321,x26322)+E(f657(x26321,x26323,x26324),f657(x26322,x26323,x26324))
% 92.33/92.12 [2633]~E(x26331,x26332)+E(f657(x26333,x26331,x26334),f657(x26333,x26332,x26334))
% 92.33/92.12 [2634]~E(x26341,x26342)+E(f657(x26343,x26344,x26341),f657(x26343,x26344,x26342))
% 92.33/92.12 [2635]~E(x26351,x26352)+E(f782(x26351,x26353),f782(x26352,x26353))
% 92.33/92.12 [2636]~E(x26361,x26362)+E(f782(x26363,x26361),f782(x26363,x26362))
% 92.33/92.12 [2637]~E(x26371,x26372)+E(f769(x26371,x26373),f769(x26372,x26373))
% 92.33/92.12 [2638]~E(x26381,x26382)+E(f769(x26383,x26381),f769(x26383,x26382))
% 92.33/92.12 [2639]~E(x26391,x26392)+E(f760(x26391,x26393),f760(x26392,x26393))
% 92.33/92.12 [2640]~E(x26401,x26402)+E(f760(x26403,x26401),f760(x26403,x26402))
% 92.33/92.12 [2641]~E(x26411,x26412)+E(f811(x26411,x26413,x26414,x26415,x26416),f811(x26412,x26413,x26414,x26415,x26416))
% 92.33/92.12 [2642]~E(x26421,x26422)+E(f811(x26423,x26421,x26424,x26425,x26426),f811(x26423,x26422,x26424,x26425,x26426))
% 92.33/92.12 [2643]~E(x26431,x26432)+E(f811(x26433,x26434,x26431,x26435,x26436),f811(x26433,x26434,x26432,x26435,x26436))
% 92.33/92.12 [2644]~E(x26441,x26442)+E(f811(x26443,x26444,x26445,x26441,x26446),f811(x26443,x26444,x26445,x26442,x26446))
% 92.33/92.12 [2645]~E(x26451,x26452)+E(f811(x26453,x26454,x26455,x26456,x26451),f811(x26453,x26454,x26455,x26456,x26452))
% 92.33/92.12 [2646]~E(x26461,x26462)+E(f735(x26461,x26463,x26464),f735(x26462,x26463,x26464))
% 92.33/92.12 [2647]~E(x26471,x26472)+E(f735(x26473,x26471,x26474),f735(x26473,x26472,x26474))
% 92.33/92.12 [2648]~E(x26481,x26482)+E(f735(x26483,x26484,x26481),f735(x26483,x26484,x26482))
% 92.33/92.12 [2649]~E(x26491,x26492)+E(f608(x26491,x26493,x26494,x26495,x26496),f608(x26492,x26493,x26494,x26495,x26496))
% 92.33/92.12 [2650]~E(x26501,x26502)+E(f608(x26503,x26501,x26504,x26505,x26506),f608(x26503,x26502,x26504,x26505,x26506))
% 92.33/92.12 [2651]~E(x26511,x26512)+E(f608(x26513,x26514,x26511,x26515,x26516),f608(x26513,x26514,x26512,x26515,x26516))
% 92.33/92.12 [2652]~E(x26521,x26522)+E(f608(x26523,x26524,x26525,x26521,x26526),f608(x26523,x26524,x26525,x26522,x26526))
% 92.33/92.12 [2653]~E(x26531,x26532)+E(f608(x26533,x26534,x26535,x26536,x26531),f608(x26533,x26534,x26535,x26536,x26532))
% 92.33/92.12 [2654]~E(x26541,x26542)+E(f876(x26541,x26543,x26544),f876(x26542,x26543,x26544))
% 92.33/92.12 [2655]~E(x26551,x26552)+E(f876(x26553,x26551,x26554),f876(x26553,x26552,x26554))
% 92.33/92.12 [2656]~E(x26561,x26562)+E(f876(x26563,x26564,x26561),f876(x26563,x26564,x26562))
% 92.33/92.12 [2657]~E(x26571,x26572)+E(f342(x26571,x26573,x26574),f342(x26572,x26573,x26574))
% 92.33/92.12 [2658]~E(x26581,x26582)+E(f342(x26583,x26581,x26584),f342(x26583,x26582,x26584))
% 92.33/92.12 [2659]~E(x26591,x26592)+E(f342(x26593,x26594,x26591),f342(x26593,x26594,x26592))
% 92.33/92.12 [2660]~E(x26601,x26602)+E(f322(x26601),f322(x26602))
% 92.33/92.12 [2661]~E(x26611,x26612)+E(f727(x26611,x26613),f727(x26612,x26613))
% 92.33/92.12 [2662]~E(x26621,x26622)+E(f727(x26623,x26621),f727(x26623,x26622))
% 92.33/92.12 [2663]~E(x26631,x26632)+E(f221(x26631,x26633,x26634,x26635),f221(x26632,x26633,x26634,x26635))
% 92.33/92.12 [2664]~E(x26641,x26642)+E(f221(x26643,x26641,x26644,x26645),f221(x26643,x26642,x26644,x26645))
% 92.33/92.12 [2665]~E(x26651,x26652)+E(f221(x26653,x26654,x26651,x26655),f221(x26653,x26654,x26652,x26655))
% 92.33/92.12 [2666]~E(x26661,x26662)+E(f221(x26663,x26664,x26665,x26661),f221(x26663,x26664,x26665,x26662))
% 92.33/92.12 [2667]~E(x26671,x26672)+E(f384(x26671,x26673,x26674),f384(x26672,x26673,x26674))
% 92.33/92.12 [2668]~E(x26681,x26682)+E(f384(x26683,x26681,x26684),f384(x26683,x26682,x26684))
% 92.33/92.12 [2669]~E(x26691,x26692)+E(f384(x26693,x26694,x26691),f384(x26693,x26694,x26692))
% 92.33/92.12 [2670]~E(x26701,x26702)+E(f387(x26701,x26703,x26704,x26705),f387(x26702,x26703,x26704,x26705))
% 92.33/92.12 [2671]~E(x26711,x26712)+E(f387(x26713,x26711,x26714,x26715),f387(x26713,x26712,x26714,x26715))
% 92.33/92.12 [2672]~E(x26721,x26722)+E(f387(x26723,x26724,x26721,x26725),f387(x26723,x26724,x26722,x26725))
% 92.33/92.12 [2673]~E(x26731,x26732)+E(f387(x26733,x26734,x26735,x26731),f387(x26733,x26734,x26735,x26732))
% 92.33/92.12 [2674]~E(x26741,x26742)+E(f528(x26741,x26743,x26744,x26745),f528(x26742,x26743,x26744,x26745))
% 92.33/92.12 [2675]~E(x26751,x26752)+E(f528(x26753,x26751,x26754,x26755),f528(x26753,x26752,x26754,x26755))
% 92.33/92.12 [2676]~E(x26761,x26762)+E(f528(x26763,x26764,x26761,x26765),f528(x26763,x26764,x26762,x26765))
% 92.33/92.12 [2677]~E(x26771,x26772)+E(f528(x26773,x26774,x26775,x26771),f528(x26773,x26774,x26775,x26772))
% 92.33/92.12 [2678]~E(x26781,x26782)+E(f772(x26781,x26783,x26784),f772(x26782,x26783,x26784))
% 92.33/92.12 [2679]~E(x26791,x26792)+E(f772(x26793,x26791,x26794),f772(x26793,x26792,x26794))
% 92.33/92.12 [2680]~E(x26801,x26802)+E(f772(x26803,x26804,x26801),f772(x26803,x26804,x26802))
% 92.33/92.12 [2681]~E(x26811,x26812)+E(f790(x26811,x26813),f790(x26812,x26813))
% 92.33/92.12 [2682]~E(x26821,x26822)+E(f790(x26823,x26821),f790(x26823,x26822))
% 92.33/92.12 [2683]~E(x26831,x26832)+E(f649(x26831,x26833),f649(x26832,x26833))
% 92.33/92.12 [2684]~E(x26841,x26842)+E(f649(x26843,x26841),f649(x26843,x26842))
% 92.33/92.12 [2685]~E(x26851,x26852)+E(f282(x26851,x26853),f282(x26852,x26853))
% 92.33/92.12 [2686]~E(x26861,x26862)+E(f282(x26863,x26861),f282(x26863,x26862))
% 92.33/92.12 [2687]~E(x26871,x26872)+E(f518(x26871),f518(x26872))
% 92.33/92.12 [2688]~E(x26881,x26882)+E(f329(x26881,x26883,x26884),f329(x26882,x26883,x26884))
% 92.33/92.12 [2689]~E(x26891,x26892)+E(f329(x26893,x26891,x26894),f329(x26893,x26892,x26894))
% 92.33/92.12 [2690]~E(x26901,x26902)+E(f329(x26903,x26904,x26901),f329(x26903,x26904,x26902))
% 92.33/92.12 [2691]~E(x26911,x26912)+E(f743(x26911,x26913,x26914),f743(x26912,x26913,x26914))
% 92.33/92.12 [2692]~E(x26921,x26922)+E(f743(x26923,x26921,x26924),f743(x26923,x26922,x26924))
% 92.33/92.12 [2693]~E(x26931,x26932)+E(f743(x26933,x26934,x26931),f743(x26933,x26934,x26932))
% 92.33/92.12 [2694]~E(x26941,x26942)+E(f740(x26941,x26943,x26944),f740(x26942,x26943,x26944))
% 92.33/92.12 [2695]~E(x26951,x26952)+E(f740(x26953,x26951,x26954),f740(x26953,x26952,x26954))
% 92.33/92.12 [2696]~E(x26961,x26962)+E(f740(x26963,x26964,x26961),f740(x26963,x26964,x26962))
% 92.33/92.12 [2697]~E(x26971,x26972)+E(f730(x26971,x26973,x26974,x26975),f730(x26972,x26973,x26974,x26975))
% 92.33/92.12 [2698]~E(x26981,x26982)+E(f730(x26983,x26981,x26984,x26985),f730(x26983,x26982,x26984,x26985))
% 92.33/92.12 [2699]~E(x26991,x26992)+E(f730(x26993,x26994,x26991,x26995),f730(x26993,x26994,x26992,x26995))
% 92.33/92.12 [2700]~E(x27001,x27002)+E(f730(x27003,x27004,x27005,x27001),f730(x27003,x27004,x27005,x27002))
% 92.33/92.12 [2701]~E(x27011,x27012)+E(f524(x27011,x27013),f524(x27012,x27013))
% 92.33/92.12 [2702]~E(x27021,x27022)+E(f524(x27023,x27021),f524(x27023,x27022))
% 92.33/92.12 [2703]~E(x27031,x27032)+E(f522(x27031,x27033),f522(x27032,x27033))
% 92.33/92.12 [2704]~E(x27041,x27042)+E(f522(x27043,x27041),f522(x27043,x27042))
% 92.33/92.12 [2705]~E(x27051,x27052)+E(f588(x27051),f588(x27052))
% 92.33/92.12 [2706]~E(x27061,x27062)+E(f343(x27061,x27063,x27064),f343(x27062,x27063,x27064))
% 92.33/92.12 [2707]~E(x27071,x27072)+E(f343(x27073,x27071,x27074),f343(x27073,x27072,x27074))
% 92.33/92.12 [2708]~E(x27081,x27082)+E(f343(x27083,x27084,x27081),f343(x27083,x27084,x27082))
% 92.33/92.12 [2709]~E(x27091,x27092)+E(f261(x27091,x27093,x27094,x27095),f261(x27092,x27093,x27094,x27095))
% 92.33/92.12 [2710]~E(x27101,x27102)+E(f261(x27103,x27101,x27104,x27105),f261(x27103,x27102,x27104,x27105))
% 92.33/92.12 [2711]~E(x27111,x27112)+E(f261(x27113,x27114,x27111,x27115),f261(x27113,x27114,x27112,x27115))
% 92.33/92.12 [2712]~E(x27121,x27122)+E(f261(x27123,x27124,x27125,x27121),f261(x27123,x27124,x27125,x27122))
% 92.33/92.12 [2713]~E(x27131,x27132)+E(f201(x27131,x27133,x27134,x27135,x27136,x27137,x27138),f201(x27132,x27133,x27134,x27135,x27136,x27137,x27138))
% 92.33/92.12 [2714]~E(x27141,x27142)+E(f201(x27143,x27141,x27144,x27145,x27146,x27147,x27148),f201(x27143,x27142,x27144,x27145,x27146,x27147,x27148))
% 92.33/92.12 [2715]~E(x27151,x27152)+E(f201(x27153,x27154,x27151,x27155,x27156,x27157,x27158),f201(x27153,x27154,x27152,x27155,x27156,x27157,x27158))
% 92.33/92.12 [2716]~E(x27161,x27162)+E(f201(x27163,x27164,x27165,x27161,x27166,x27167,x27168),f201(x27163,x27164,x27165,x27162,x27166,x27167,x27168))
% 92.33/92.12 [2717]~E(x27171,x27172)+E(f201(x27173,x27174,x27175,x27176,x27171,x27177,x27178),f201(x27173,x27174,x27175,x27176,x27172,x27177,x27178))
% 92.33/92.12 [2718]~E(x27181,x27182)+E(f201(x27183,x27184,x27185,x27186,x27187,x27181,x27188),f201(x27183,x27184,x27185,x27186,x27187,x27182,x27188))
% 92.33/92.12 [2719]~E(x27191,x27192)+E(f201(x27193,x27194,x27195,x27196,x27197,x27198,x27191),f201(x27193,x27194,x27195,x27196,x27197,x27198,x27192))
% 92.33/92.12 [2720]~E(x27201,x27202)+E(f495(x27201),f495(x27202))
% 92.33/92.12 [2721]~E(x27211,x27212)+E(f266(x27211,x27213,x27214,x27215),f266(x27212,x27213,x27214,x27215))
% 92.33/92.12 [2722]~E(x27221,x27222)+E(f266(x27223,x27221,x27224,x27225),f266(x27223,x27222,x27224,x27225))
% 92.33/92.12 [2723]~E(x27231,x27232)+E(f266(x27233,x27234,x27231,x27235),f266(x27233,x27234,x27232,x27235))
% 92.33/92.12 [2724]~E(x27241,x27242)+E(f266(x27243,x27244,x27245,x27241),f266(x27243,x27244,x27245,x27242))
% 92.33/92.12 [2725]~E(x27251,x27252)+E(f699(x27251,x27253),f699(x27252,x27253))
% 92.33/92.12 [2726]~E(x27261,x27262)+E(f699(x27263,x27261),f699(x27263,x27262))
% 92.33/92.12 [2727]~E(x27271,x27272)+E(f200(x27271,x27273,x27274,x27275),f200(x27272,x27273,x27274,x27275))
% 92.33/92.12 [2728]~E(x27281,x27282)+E(f200(x27283,x27281,x27284,x27285),f200(x27283,x27282,x27284,x27285))
% 92.33/92.12 [2729]~E(x27291,x27292)+E(f200(x27293,x27294,x27291,x27295),f200(x27293,x27294,x27292,x27295))
% 92.33/92.12 [2730]~E(x27301,x27302)+E(f200(x27303,x27304,x27305,x27301),f200(x27303,x27304,x27305,x27302))
% 92.33/92.12 [2731]~E(x27311,x27312)+E(f482(x27311,x27313,x27314,x27315),f482(x27312,x27313,x27314,x27315))
% 92.33/92.12 [2732]~E(x27321,x27322)+E(f482(x27323,x27321,x27324,x27325),f482(x27323,x27322,x27324,x27325))
% 92.33/92.12 [2733]~E(x27331,x27332)+E(f482(x27333,x27334,x27331,x27335),f482(x27333,x27334,x27332,x27335))
% 92.33/92.12 [2734]~E(x27341,x27342)+E(f482(x27343,x27344,x27345,x27341),f482(x27343,x27344,x27345,x27342))
% 92.33/92.12 [2735]~E(x27351,x27352)+E(f677(x27351,x27353,x27354,x27355,x27356),f677(x27352,x27353,x27354,x27355,x27356))
% 92.33/92.12 [2736]~E(x27361,x27362)+E(f677(x27363,x27361,x27364,x27365,x27366),f677(x27363,x27362,x27364,x27365,x27366))
% 92.33/92.12 [2737]~E(x27371,x27372)+E(f677(x27373,x27374,x27371,x27375,x27376),f677(x27373,x27374,x27372,x27375,x27376))
% 92.33/92.12 [2738]~E(x27381,x27382)+E(f677(x27383,x27384,x27385,x27381,x27386),f677(x27383,x27384,x27385,x27382,x27386))
% 92.33/92.12 [2739]~E(x27391,x27392)+E(f677(x27393,x27394,x27395,x27396,x27391),f677(x27393,x27394,x27395,x27396,x27392))
% 92.33/92.12 [2740]~E(x27401,x27402)+E(f639(x27401,x27403,x27404),f639(x27402,x27403,x27404))
% 92.33/92.12 [2741]~E(x27411,x27412)+E(f639(x27413,x27411,x27414),f639(x27413,x27412,x27414))
% 92.33/92.12 [2742]~E(x27421,x27422)+E(f639(x27423,x27424,x27421),f639(x27423,x27424,x27422))
% 92.33/92.12 [2743]~E(x27431,x27432)+E(f732(x27431,x27433,x27434),f732(x27432,x27433,x27434))
% 92.33/92.12 [2744]~E(x27441,x27442)+E(f732(x27443,x27441,x27444),f732(x27443,x27442,x27444))
% 92.33/92.12 [2745]~E(x27451,x27452)+E(f732(x27453,x27454,x27451),f732(x27453,x27454,x27452))
% 92.33/92.12 [2746]~E(x27461,x27462)+E(f511(x27461,x27463,x27464),f511(x27462,x27463,x27464))
% 92.33/92.12 [2747]~E(x27471,x27472)+E(f511(x27473,x27471,x27474),f511(x27473,x27472,x27474))
% 92.33/92.12 [2748]~E(x27481,x27482)+E(f511(x27483,x27484,x27481),f511(x27483,x27484,x27482))
% 92.33/92.12 [2749]~E(x27491,x27492)+E(f197(x27491,x27493,x27494,x27495,x27496,x27497,x27498),f197(x27492,x27493,x27494,x27495,x27496,x27497,x27498))
% 92.33/92.12 [2750]~E(x27501,x27502)+E(f197(x27503,x27501,x27504,x27505,x27506,x27507,x27508),f197(x27503,x27502,x27504,x27505,x27506,x27507,x27508))
% 92.33/92.12 [2751]~E(x27511,x27512)+E(f197(x27513,x27514,x27511,x27515,x27516,x27517,x27518),f197(x27513,x27514,x27512,x27515,x27516,x27517,x27518))
% 92.33/92.12 [2752]~E(x27521,x27522)+E(f197(x27523,x27524,x27525,x27521,x27526,x27527,x27528),f197(x27523,x27524,x27525,x27522,x27526,x27527,x27528))
% 92.33/92.12 [2753]~E(x27531,x27532)+E(f197(x27533,x27534,x27535,x27536,x27531,x27537,x27538),f197(x27533,x27534,x27535,x27536,x27532,x27537,x27538))
% 92.33/92.12 [2754]~E(x27541,x27542)+E(f197(x27543,x27544,x27545,x27546,x27547,x27541,x27548),f197(x27543,x27544,x27545,x27546,x27547,x27542,x27548))
% 92.33/92.12 [2755]~E(x27551,x27552)+E(f197(x27553,x27554,x27555,x27556,x27557,x27558,x27551),f197(x27553,x27554,x27555,x27556,x27557,x27558,x27552))
% 92.33/92.12 [2756]~E(x27561,x27562)+E(f219(x27561,x27563,x27564,x27565),f219(x27562,x27563,x27564,x27565))
% 92.33/92.12 [2757]~E(x27571,x27572)+E(f219(x27573,x27571,x27574,x27575),f219(x27573,x27572,x27574,x27575))
% 92.33/92.12 [2758]~E(x27581,x27582)+E(f219(x27583,x27584,x27581,x27585),f219(x27583,x27584,x27582,x27585))
% 92.33/92.12 [2759]~E(x27591,x27592)+E(f219(x27593,x27594,x27595,x27591),f219(x27593,x27594,x27595,x27592))
% 92.33/92.12 [2760]~E(x27601,x27602)+E(f822(x27601),f822(x27602))
% 92.33/92.12 [2761]~E(x27611,x27612)+E(f806(x27611,x27613,x27614,x27615),f806(x27612,x27613,x27614,x27615))
% 92.33/92.12 [2762]~E(x27621,x27622)+E(f806(x27623,x27621,x27624,x27625),f806(x27623,x27622,x27624,x27625))
% 92.33/92.12 [2763]~E(x27631,x27632)+E(f806(x27633,x27634,x27631,x27635),f806(x27633,x27634,x27632,x27635))
% 92.33/92.12 [2764]~E(x27641,x27642)+E(f806(x27643,x27644,x27645,x27641),f806(x27643,x27644,x27645,x27642))
% 92.33/92.12 [2765]~P1(x27651)+P1(x27652)+~E(x27651,x27652)
% 92.33/92.12 [2766]~P2(x27661)+P2(x27662)+~E(x27661,x27662)
% 92.33/92.12 [2767]P13(x27672,x27673)+~E(x27671,x27672)+~P13(x27671,x27673)
% 92.33/92.12 [2768]P13(x27683,x27682)+~E(x27681,x27682)+~P13(x27683,x27681)
% 92.33/92.12 [2769]~P65(x27691)+P65(x27692)+~E(x27691,x27692)
% 92.33/92.12 [2770]~P107(x27701)+P107(x27702)+~E(x27701,x27702)
% 92.33/92.12 [2771]~P3(x27711)+P3(x27712)+~E(x27711,x27712)
% 92.33/92.12 [2772]~P108(x27721)+P108(x27722)+~E(x27721,x27722)
% 92.33/92.12 [2773]~P66(x27731)+P66(x27732)+~E(x27731,x27732)
% 92.33/92.12 [2774]P24(x27742,x27743,x27744,x27745)+~E(x27741,x27742)+~P24(x27741,x27743,x27744,x27745)
% 92.33/92.12 [2775]P24(x27753,x27752,x27754,x27755)+~E(x27751,x27752)+~P24(x27753,x27751,x27754,x27755)
% 92.33/92.12 [2776]P24(x27763,x27764,x27762,x27765)+~E(x27761,x27762)+~P24(x27763,x27764,x27761,x27765)
% 92.33/92.12 [2777]P24(x27773,x27774,x27775,x27772)+~E(x27771,x27772)+~P24(x27773,x27774,x27775,x27771)
% 92.33/92.12 [2778]~P4(x27781)+P4(x27782)+~E(x27781,x27782)
% 92.33/92.12 [2779]~P98(x27791)+P98(x27792)+~E(x27791,x27792)
% 92.33/92.12 [2780]~P5(x27801)+P5(x27802)+~E(x27801,x27802)
% 92.33/92.12 [2781]~P119(x27811)+P119(x27812)+~E(x27811,x27812)
% 92.33/92.12 [2782]~P110(x27821)+P110(x27822)+~E(x27821,x27822)
% 92.33/92.12 [2783]~P63(x27831)+P63(x27832)+~E(x27831,x27832)
% 92.33/92.12 [2784]P148(x27842,x27843,x27844)+~E(x27841,x27842)+~P148(x27841,x27843,x27844)
% 92.33/92.12 [2785]P148(x27853,x27852,x27854)+~E(x27851,x27852)+~P148(x27853,x27851,x27854)
% 92.33/92.12 [2786]P148(x27863,x27864,x27862)+~E(x27861,x27862)+~P148(x27863,x27864,x27861)
% 92.33/92.12 [2787]~P109(x27871)+P109(x27872)+~E(x27871,x27872)
% 92.33/92.12 [2788]~P111(x27881)+P111(x27882)+~E(x27881,x27882)
% 92.33/92.12 [2789]P36(x27892,x27893)+~E(x27891,x27892)+~P36(x27891,x27893)
% 92.33/92.12 [2790]P36(x27903,x27902)+~E(x27901,x27902)+~P36(x27903,x27901)
% 92.33/92.12 [2791]~P94(x27911)+P94(x27912)+~E(x27911,x27912)
% 92.33/92.12 [2792]~P67(x27921)+P67(x27922)+~E(x27921,x27922)
% 92.33/92.12 [2793]~P68(x27931)+P68(x27932)+~E(x27931,x27932)
% 92.33/92.12 [2794]~P69(x27941)+P69(x27942)+~E(x27941,x27942)
% 92.33/92.12 [2795]P52(x27952,x27953,x27954)+~E(x27951,x27952)+~P52(x27951,x27953,x27954)
% 92.33/92.12 [2796]P52(x27963,x27962,x27964)+~E(x27961,x27962)+~P52(x27963,x27961,x27964)
% 92.33/92.12 [2797]P52(x27973,x27974,x27972)+~E(x27971,x27972)+~P52(x27973,x27974,x27971)
% 92.33/92.12 [2798]~P99(x27981)+P99(x27982)+~E(x27981,x27982)
% 92.33/92.12 [2799]P25(x27992,x27993,x27994,x27995,x27996)+~E(x27991,x27992)+~P25(x27991,x27993,x27994,x27995,x27996)
% 92.33/92.12 [2800]P25(x28003,x28002,x28004,x28005,x28006)+~E(x28001,x28002)+~P25(x28003,x28001,x28004,x28005,x28006)
% 92.33/92.12 [2801]P25(x28013,x28014,x28012,x28015,x28016)+~E(x28011,x28012)+~P25(x28013,x28014,x28011,x28015,x28016)
% 92.33/92.12 [2802]P25(x28023,x28024,x28025,x28022,x28026)+~E(x28021,x28022)+~P25(x28023,x28024,x28025,x28021,x28026)
% 92.33/92.12 [2803]P25(x28033,x28034,x28035,x28036,x28032)+~E(x28031,x28032)+~P25(x28033,x28034,x28035,x28036,x28031)
% 92.33/92.12 [2804]~P80(x28041)+P80(x28042)+~E(x28041,x28042)
% 92.33/92.12 [2805]P147(x28052,x28053,x28054)+~E(x28051,x28052)+~P147(x28051,x28053,x28054)
% 92.33/92.12 [2806]P147(x28063,x28062,x28064)+~E(x28061,x28062)+~P147(x28063,x28061,x28064)
% 92.33/92.12 [2807]P147(x28073,x28074,x28072)+~E(x28071,x28072)+~P147(x28073,x28074,x28071)
% 92.33/92.12 [2808]~P77(x28081)+P77(x28082)+~E(x28081,x28082)
% 92.33/92.12 [2809]~P70(x28091)+P70(x28092)+~E(x28091,x28092)
% 92.33/92.12 [2810]~P140(x28101)+P140(x28102)+~E(x28101,x28102)
% 92.33/92.12 [2811]~P145(x28111)+P145(x28112)+~E(x28111,x28112)
% 92.33/92.12 [2812]~P71(x28121)+P71(x28122)+~E(x28121,x28122)
% 92.33/92.12 [2813]~P93(x28131)+P93(x28132)+~E(x28131,x28132)
% 92.33/92.12 [2814]~P117(x28141)+P117(x28142)+~E(x28141,x28142)
% 92.33/92.12 [2815]~P72(x28151)+P72(x28152)+~E(x28151,x28152)
% 92.33/92.12 [2816]~P75(x28161)+P75(x28162)+~E(x28161,x28162)
% 92.33/92.12 [2817]~P61(x28171)+P61(x28172)+~E(x28171,x28172)
% 92.33/92.12 [2818]~P83(x28181)+P83(x28182)+~E(x28181,x28182)
% 92.33/92.12 [2819]P32(x28192,x28193,x28194)+~E(x28191,x28192)+~P32(x28191,x28193,x28194)
% 92.33/92.12 [2820]P32(x28203,x28202,x28204)+~E(x28201,x28202)+~P32(x28203,x28201,x28204)
% 92.33/92.12 [2821]P32(x28213,x28214,x28212)+~E(x28211,x28212)+~P32(x28213,x28214,x28211)
% 92.33/92.12 [2822]P33(x28222,x28223,x28224,x28225,x28226)+~E(x28221,x28222)+~P33(x28221,x28223,x28224,x28225,x28226)
% 92.33/92.12 [2823]P33(x28233,x28232,x28234,x28235,x28236)+~E(x28231,x28232)+~P33(x28233,x28231,x28234,x28235,x28236)
% 92.33/92.12 [2824]P33(x28243,x28244,x28242,x28245,x28246)+~E(x28241,x28242)+~P33(x28243,x28244,x28241,x28245,x28246)
% 92.33/92.12 [2825]P33(x28253,x28254,x28255,x28252,x28256)+~E(x28251,x28252)+~P33(x28253,x28254,x28255,x28251,x28256)
% 92.33/92.12 [2826]P33(x28263,x28264,x28265,x28266,x28262)+~E(x28261,x28262)+~P33(x28263,x28264,x28265,x28266,x28261)
% 92.33/92.12 [2827]~P84(x28271)+P84(x28272)+~E(x28271,x28272)
% 92.33/92.12 [2828]P150(x28282,x28283)+~E(x28281,x28282)+~P150(x28281,x28283)
% 92.33/92.12 [2829]P150(x28293,x28292)+~E(x28291,x28292)+~P150(x28293,x28291)
% 92.33/92.12 [2830]P59(x28302,x28303)+~E(x28301,x28302)+~P59(x28301,x28303)
% 92.33/92.12 [2831]P59(x28313,x28312)+~E(x28311,x28312)+~P59(x28313,x28311)
% 92.33/92.12 [2832]~P86(x28321)+P86(x28322)+~E(x28321,x28322)
% 92.33/92.12 [2833]~P126(x28331)+P126(x28332)+~E(x28331,x28332)
% 92.33/92.12 [2834]P8(x28342,x28343,x28344)+~E(x28341,x28342)+~P8(x28341,x28343,x28344)
% 92.33/92.12 [2835]P8(x28353,x28352,x28354)+~E(x28351,x28352)+~P8(x28353,x28351,x28354)
% 92.33/92.12 [2836]P8(x28363,x28364,x28362)+~E(x28361,x28362)+~P8(x28363,x28364,x28361)
% 92.33/92.12 [2837]~P85(x28371)+P85(x28372)+~E(x28371,x28372)
% 92.33/92.12 [2838]~P149(x28381)+P149(x28382)+~E(x28381,x28382)
% 92.33/92.12 [2839]P19(x28392,x28393,x28394,x28395)+~E(x28391,x28392)+~P19(x28391,x28393,x28394,x28395)
% 92.33/92.12 [2840]P19(x28403,x28402,x28404,x28405)+~E(x28401,x28402)+~P19(x28403,x28401,x28404,x28405)
% 92.33/92.12 [2841]P19(x28413,x28414,x28412,x28415)+~E(x28411,x28412)+~P19(x28413,x28414,x28411,x28415)
% 92.33/92.12 [2842]P19(x28423,x28424,x28425,x28422)+~E(x28421,x28422)+~P19(x28423,x28424,x28425,x28421)
% 92.33/92.12 [2843]~P88(x28431)+P88(x28432)+~E(x28431,x28432)
% 92.33/92.12 [2844]~P73(x28441)+P73(x28442)+~E(x28441,x28442)
% 92.33/92.12 [2845]P49(x28452,x28453)+~E(x28451,x28452)+~P49(x28451,x28453)
% 92.33/92.12 [2846]P49(x28463,x28462)+~E(x28461,x28462)+~P49(x28463,x28461)
% 92.33/92.12 [2847]P15(x28472,x28473)+~E(x28471,x28472)+~P15(x28471,x28473)
% 92.33/92.12 [2848]P15(x28483,x28482)+~E(x28481,x28482)+~P15(x28483,x28481)
% 92.33/92.12 [2849]P38(x28492,x28493)+~E(x28491,x28492)+~P38(x28491,x28493)
% 92.33/92.12 [2850]P38(x28503,x28502)+~E(x28501,x28502)+~P38(x28503,x28501)
% 92.33/92.12 [2851]~P112(x28511)+P112(x28512)+~E(x28511,x28512)
% 92.33/92.12 [2852]P30(x28522,x28523,x28524)+~E(x28521,x28522)+~P30(x28521,x28523,x28524)
% 92.33/92.12 [2853]P30(x28533,x28532,x28534)+~E(x28531,x28532)+~P30(x28533,x28531,x28534)
% 92.33/92.12 [2854]P30(x28543,x28544,x28542)+~E(x28541,x28542)+~P30(x28543,x28544,x28541)
% 92.33/92.12 [2855]P51(x28552,x28553)+~E(x28551,x28552)+~P51(x28551,x28553)
% 92.33/92.12 [2856]P51(x28563,x28562)+~E(x28561,x28562)+~P51(x28563,x28561)
% 92.33/92.12 [2857]~P127(x28571)+P127(x28572)+~E(x28571,x28572)
% 92.33/92.12 [2858]~P76(x28581)+P76(x28582)+~E(x28581,x28582)
% 92.33/92.12 [2859]~P97(x28591)+P97(x28592)+~E(x28591,x28592)
% 92.33/92.12 [2860]~P125(x28601)+P125(x28602)+~E(x28601,x28602)
% 92.33/92.12 [2861]~P131(x28611)+P131(x28612)+~E(x28611,x28612)
% 92.33/92.12 [2862]~P141(x28621)+P141(x28622)+~E(x28621,x28622)
% 92.33/92.12 [2863]~P64(x28631)+P64(x28632)+~E(x28631,x28632)
% 92.33/92.12 [2864]~P134(x28641)+P134(x28642)+~E(x28641,x28642)
% 92.33/92.12 [2865]~P136(x28651)+P136(x28652)+~E(x28651,x28652)
% 92.33/92.12 [2866]P57(x28662,x28663)+~E(x28661,x28662)+~P57(x28661,x28663)
% 92.33/92.12 [2867]P57(x28673,x28672)+~E(x28671,x28672)+~P57(x28673,x28671)
% 92.33/92.12 [2868]~P78(x28681)+P78(x28682)+~E(x28681,x28682)
% 92.33/92.12 [2869]~P135(x28691)+P135(x28692)+~E(x28691,x28692)
% 92.33/92.12 [2870]P18(x28702,x28703,x28704)+~E(x28701,x28702)+~P18(x28701,x28703,x28704)
% 92.33/92.12 [2871]P18(x28713,x28712,x28714)+~E(x28711,x28712)+~P18(x28713,x28711,x28714)
% 92.33/92.12 [2872]P18(x28723,x28724,x28722)+~E(x28721,x28722)+~P18(x28723,x28724,x28721)
% 92.33/92.12 [2873]~P144(x28731)+P144(x28732)+~E(x28731,x28732)
% 92.33/92.12 [2874]~P87(x28741)+P87(x28742)+~E(x28741,x28742)
% 92.33/92.12 [2875]P45(x28752,x28753)+~E(x28751,x28752)+~P45(x28751,x28753)
% 92.33/92.12 [2876]P45(x28763,x28762)+~E(x28761,x28762)+~P45(x28763,x28761)
% 92.33/92.12 [2877]~P82(x28771)+P82(x28772)+~E(x28771,x28772)
% 92.33/92.12 [2878]~P132(x28781)+P132(x28782)+~E(x28781,x28782)
% 92.33/92.12 [2879]P7(x28792,x28793)+~E(x28791,x28792)+~P7(x28791,x28793)
% 92.33/92.12 [2880]P7(x28803,x28802)+~E(x28801,x28802)+~P7(x28803,x28801)
% 92.33/92.12 [2881]P23(x28812,x28813,x28814,x28815,x28816,x28817)+~E(x28811,x28812)+~P23(x28811,x28813,x28814,x28815,x28816,x28817)
% 92.33/92.12 [2882]P23(x28823,x28822,x28824,x28825,x28826,x28827)+~E(x28821,x28822)+~P23(x28823,x28821,x28824,x28825,x28826,x28827)
% 92.33/92.12 [2883]P23(x28833,x28834,x28832,x28835,x28836,x28837)+~E(x28831,x28832)+~P23(x28833,x28834,x28831,x28835,x28836,x28837)
% 92.33/92.12 [2884]P23(x28843,x28844,x28845,x28842,x28846,x28847)+~E(x28841,x28842)+~P23(x28843,x28844,x28845,x28841,x28846,x28847)
% 92.33/92.12 [2885]P23(x28853,x28854,x28855,x28856,x28852,x28857)+~E(x28851,x28852)+~P23(x28853,x28854,x28855,x28856,x28851,x28857)
% 92.33/92.12 [2886]P23(x28863,x28864,x28865,x28866,x28867,x28862)+~E(x28861,x28862)+~P23(x28863,x28864,x28865,x28866,x28867,x28861)
% 92.33/92.12 [2887]~P138(x28871)+P138(x28872)+~E(x28871,x28872)
% 92.33/92.12 [2888]~P133(x28881)+P133(x28882)+~E(x28881,x28882)
% 92.33/92.12 [2889]~P103(x28891)+P103(x28892)+~E(x28891,x28892)
% 92.33/92.12 [2890]~P100(x28901)+P100(x28902)+~E(x28901,x28902)
% 92.33/92.12 [2891]~P142(x28911)+P142(x28912)+~E(x28911,x28912)
% 92.33/92.12 [2892]~P39(x28921)+P39(x28922)+~E(x28921,x28922)
% 92.33/92.12 [2893]P29(x28932,x28933,x28934)+~E(x28931,x28932)+~P29(x28931,x28933,x28934)
% 92.33/92.12 [2894]P29(x28943,x28942,x28944)+~E(x28941,x28942)+~P29(x28943,x28941,x28944)
% 92.33/92.12 [2895]P29(x28953,x28954,x28952)+~E(x28951,x28952)+~P29(x28953,x28954,x28951)
% 92.33/92.12 [2896]~P113(x28961)+P113(x28962)+~E(x28961,x28962)
% 92.33/92.12 [2897]~P6(x28971)+P6(x28972)+~E(x28971,x28972)
% 92.33/92.12 [2898]~P104(x28981)+P104(x28982)+~E(x28981,x28982)
% 92.33/92.12 [2899]~P143(x28991)+P143(x28992)+~E(x28991,x28992)
% 92.33/92.12 [2900]P37(x29002,x29003)+~E(x29001,x29002)+~P37(x29001,x29003)
% 92.33/92.12 [2901]P37(x29013,x29012)+~E(x29011,x29012)+~P37(x29013,x29011)
% 92.33/92.12 [2902]~P146(x29021)+P146(x29022)+~E(x29021,x29022)
% 92.33/92.12 [2903]~P128(x29031)+P128(x29032)+~E(x29031,x29032)
% 92.33/92.12 [2904]P27(x29042,x29043)+~E(x29041,x29042)+~P27(x29041,x29043)
% 92.33/92.12 [2905]P27(x29053,x29052)+~E(x29051,x29052)+~P27(x29053,x29051)
% 92.33/92.12 [2906]~P62(x29061)+P62(x29062)+~E(x29061,x29062)
% 92.33/92.12 [2907]~P123(x29071)+P123(x29072)+~E(x29071,x29072)
% 92.33/92.12 [2908]~P129(x29081)+P129(x29082)+~E(x29081,x29082)
% 92.33/92.12 [2909]~P81(x29091)+P81(x29092)+~E(x29091,x29092)
% 92.33/92.12 [2910]~P60(x29101)+P60(x29102)+~E(x29101,x29102)
% 92.33/92.12 [2911]~P102(x29111)+P102(x29112)+~E(x29111,x29112)
% 92.33/92.12 [2912]~P105(x29121)+P105(x29122)+~E(x29121,x29122)
% 92.33/92.12 [2913]~P121(x29131)+P121(x29132)+~E(x29131,x29132)
% 92.33/92.12 [2914]P14(x29142,x29143,x29144)+~E(x29141,x29142)+~P14(x29141,x29143,x29144)
% 92.33/92.12 [2915]P14(x29153,x29152,x29154)+~E(x29151,x29152)+~P14(x29153,x29151,x29154)
% 92.33/92.12 [2916]P14(x29163,x29164,x29162)+~E(x29161,x29162)+~P14(x29163,x29164,x29161)
% 92.33/92.12 [2917]~P96(x29171)+P96(x29172)+~E(x29171,x29172)
% 92.33/92.12 [2918]P17(x29182,x29183,x29184)+~E(x29181,x29182)+~P17(x29181,x29183,x29184)
% 92.33/92.12 [2919]P17(x29193,x29192,x29194)+~E(x29191,x29192)+~P17(x29193,x29191,x29194)
% 92.33/92.12 [2920]P17(x29203,x29204,x29202)+~E(x29201,x29202)+~P17(x29203,x29204,x29201)
% 92.33/92.12 [2921]P58(x29212,x29213,x29214,x29215)+~E(x29211,x29212)+~P58(x29211,x29213,x29214,x29215)
% 92.33/92.12 [2922]P58(x29223,x29222,x29224,x29225)+~E(x29221,x29222)+~P58(x29223,x29221,x29224,x29225)
% 92.33/92.12 [2923]P58(x29233,x29234,x29232,x29235)+~E(x29231,x29232)+~P58(x29233,x29234,x29231,x29235)
% 92.33/92.12 [2924]P58(x29243,x29244,x29245,x29242)+~E(x29241,x29242)+~P58(x29243,x29244,x29245,x29241)
% 92.33/92.12 [2925]P26(x29252,x29253)+~E(x29251,x29252)+~P26(x29251,x29253)
% 92.33/92.12 [2926]P26(x29263,x29262)+~E(x29261,x29262)+~P26(x29263,x29261)
% 92.33/92.12 [2927]~P139(x29271)+P139(x29272)+~E(x29271,x29272)
% 92.33/92.12 [2928]P12(x29282,x29283,x29284,x29285,x29286,x29287)+~E(x29281,x29282)+~P12(x29281,x29283,x29284,x29285,x29286,x29287)
% 92.33/92.12 [2929]P12(x29293,x29292,x29294,x29295,x29296,x29297)+~E(x29291,x29292)+~P12(x29293,x29291,x29294,x29295,x29296,x29297)
% 92.33/92.12 [2930]P12(x29303,x29304,x29302,x29305,x29306,x29307)+~E(x29301,x29302)+~P12(x29303,x29304,x29301,x29305,x29306,x29307)
% 92.33/92.12 [2931]P12(x29313,x29314,x29315,x29312,x29316,x29317)+~E(x29311,x29312)+~P12(x29313,x29314,x29315,x29311,x29316,x29317)
% 92.33/92.12 [2932]P12(x29323,x29324,x29325,x29326,x29322,x29327)+~E(x29321,x29322)+~P12(x29323,x29324,x29325,x29326,x29321,x29327)
% 92.33/92.12 [2933]P12(x29333,x29334,x29335,x29336,x29337,x29332)+~E(x29331,x29332)+~P12(x29333,x29334,x29335,x29336,x29337,x29331)
% 92.33/92.12 [2934]~P115(x29341)+P115(x29342)+~E(x29341,x29342)
% 92.33/92.12 [2935]~P122(x29351)+P122(x29352)+~E(x29351,x29352)
% 92.33/92.12 [2936]~P130(x29361)+P130(x29362)+~E(x29361,x29362)
% 92.33/92.12 [2937]P34(x29372,x29373,x29374)+~E(x29371,x29372)+~P34(x29371,x29373,x29374)
% 92.33/92.12 [2938]P34(x29383,x29382,x29384)+~E(x29381,x29382)+~P34(x29383,x29381,x29384)
% 92.33/92.12 [2939]P34(x29393,x29394,x29392)+~E(x29391,x29392)+~P34(x29393,x29394,x29391)
% 92.33/92.12 [2940]P56(x29402,x29403,x29404,x29405,x29406)+~E(x29401,x29402)+~P56(x29401,x29403,x29404,x29405,x29406)
% 92.33/92.12 [2941]P56(x29413,x29412,x29414,x29415,x29416)+~E(x29411,x29412)+~P56(x29413,x29411,x29414,x29415,x29416)
% 92.33/92.12 [2942]P56(x29423,x29424,x29422,x29425,x29426)+~E(x29421,x29422)+~P56(x29423,x29424,x29421,x29425,x29426)
% 92.33/92.12 [2943]P56(x29433,x29434,x29435,x29432,x29436)+~E(x29431,x29432)+~P56(x29433,x29434,x29435,x29431,x29436)
% 92.33/92.12 [2944]P56(x29443,x29444,x29445,x29446,x29442)+~E(x29441,x29442)+~P56(x29443,x29444,x29445,x29446,x29441)
% 92.33/92.12 [2945]~P89(x29451)+P89(x29452)+~E(x29451,x29452)
% 92.33/92.12 [2946]P41(x29462,x29463,x29464,x29465,x29466,x29467)+~E(x29461,x29462)+~P41(x29461,x29463,x29464,x29465,x29466,x29467)
% 92.33/92.12 [2947]P41(x29473,x29472,x29474,x29475,x29476,x29477)+~E(x29471,x29472)+~P41(x29473,x29471,x29474,x29475,x29476,x29477)
% 92.33/92.12 [2948]P41(x29483,x29484,x29482,x29485,x29486,x29487)+~E(x29481,x29482)+~P41(x29483,x29484,x29481,x29485,x29486,x29487)
% 92.33/92.12 [2949]P41(x29493,x29494,x29495,x29492,x29496,x29497)+~E(x29491,x29492)+~P41(x29493,x29494,x29495,x29491,x29496,x29497)
% 92.33/92.12 [2950]P41(x29503,x29504,x29505,x29506,x29502,x29507)+~E(x29501,x29502)+~P41(x29503,x29504,x29505,x29506,x29501,x29507)
% 92.33/92.12 [2951]P41(x29513,x29514,x29515,x29516,x29517,x29512)+~E(x29511,x29512)+~P41(x29513,x29514,x29515,x29516,x29517,x29511)
% 92.33/92.12 [2952]P54(x29522,x29523,x29524)+~E(x29521,x29522)+~P54(x29521,x29523,x29524)
% 92.33/92.12 [2953]P54(x29533,x29532,x29534)+~E(x29531,x29532)+~P54(x29533,x29531,x29534)
% 92.33/92.12 [2954]P54(x29543,x29544,x29542)+~E(x29541,x29542)+~P54(x29543,x29544,x29541)
% 92.33/92.12 [2955]P31(x29552,x29553,x29554,x29555)+~E(x29551,x29552)+~P31(x29551,x29553,x29554,x29555)
% 92.33/92.12 [2956]P31(x29563,x29562,x29564,x29565)+~E(x29561,x29562)+~P31(x29563,x29561,x29564,x29565)
% 92.33/92.12 [2957]P31(x29573,x29574,x29572,x29575)+~E(x29571,x29572)+~P31(x29573,x29574,x29571,x29575)
% 92.33/92.12 [2958]P31(x29583,x29584,x29585,x29582)+~E(x29581,x29582)+~P31(x29583,x29584,x29585,x29581)
% 92.33/92.12 [2959]~P92(x29591)+P92(x29592)+~E(x29591,x29592)
% 92.33/92.12 [2960]P16(x29602,x29603,x29604)+~E(x29601,x29602)+~P16(x29601,x29603,x29604)
% 92.33/92.12 [2961]P16(x29613,x29612,x29614)+~E(x29611,x29612)+~P16(x29613,x29611,x29614)
% 92.33/92.12 [2962]P16(x29623,x29624,x29622)+~E(x29621,x29622)+~P16(x29623,x29624,x29621)
% 92.33/92.12 [2963]P11(x29632,x29633,x29634,x29635)+~E(x29631,x29632)+~P11(x29631,x29633,x29634,x29635)
% 92.33/92.12 [2964]P11(x29643,x29642,x29644,x29645)+~E(x29641,x29642)+~P11(x29643,x29641,x29644,x29645)
% 92.33/92.12 [2965]P11(x29653,x29654,x29652,x29655)+~E(x29651,x29652)+~P11(x29653,x29654,x29651,x29655)
% 92.33/92.12 [2966]P11(x29663,x29664,x29665,x29662)+~E(x29661,x29662)+~P11(x29663,x29664,x29665,x29661)
% 92.33/92.12 [2967]P21(x29672,x29673,x29674,x29675,x29676)+~E(x29671,x29672)+~P21(x29671,x29673,x29674,x29675,x29676)
% 92.33/92.12 [2968]P21(x29683,x29682,x29684,x29685,x29686)+~E(x29681,x29682)+~P21(x29683,x29681,x29684,x29685,x29686)
% 92.33/92.12 [2969]P21(x29693,x29694,x29692,x29695,x29696)+~E(x29691,x29692)+~P21(x29693,x29694,x29691,x29695,x29696)
% 92.33/92.12 [2970]P21(x29703,x29704,x29705,x29702,x29706)+~E(x29701,x29702)+~P21(x29703,x29704,x29705,x29701,x29706)
% 92.33/92.12 [2971]P21(x29713,x29714,x29715,x29716,x29712)+~E(x29711,x29712)+~P21(x29713,x29714,x29715,x29716,x29711)
% 92.33/92.12 [2972]~P35(x29721)+P35(x29722)+~E(x29721,x29722)
% 92.33/92.12 [2973]~P114(x29731)+P114(x29732)+~E(x29731,x29732)
% 92.33/92.12 [2974]~P124(x29741)+P124(x29742)+~E(x29741,x29742)
% 92.33/92.12 [2975]P55(x29752,x29753,x29754)+~E(x29751,x29752)+~P55(x29751,x29753,x29754)
% 92.33/92.12 [2976]P55(x29763,x29762,x29764)+~E(x29761,x29762)+~P55(x29763,x29761,x29764)
% 92.33/92.12 [2977]P55(x29773,x29774,x29772)+~E(x29771,x29772)+~P55(x29773,x29774,x29771)
% 92.33/92.12 [2978]~P95(x29781)+P95(x29782)+~E(x29781,x29782)
% 92.33/92.12 [2979]P53(x29792,x29793)+~E(x29791,x29792)+~P53(x29791,x29793)
% 92.33/92.12 [2980]P53(x29803,x29802)+~E(x29801,x29802)+~P53(x29803,x29801)
% 92.33/92.12 [2981]~P101(x29811)+P101(x29812)+~E(x29811,x29812)
% 92.33/92.12 [2982]P22(x29822,x29823,x29824,x29825,x29826,x29827)+~E(x29821,x29822)+~P22(x29821,x29823,x29824,x29825,x29826,x29827)
% 92.33/92.12 [2983]P22(x29833,x29832,x29834,x29835,x29836,x29837)+~E(x29831,x29832)+~P22(x29833,x29831,x29834,x29835,x29836,x29837)
% 92.33/92.12 [2984]P22(x29843,x29844,x29842,x29845,x29846,x29847)+~E(x29841,x29842)+~P22(x29843,x29844,x29841,x29845,x29846,x29847)
% 92.33/92.12 [2985]P22(x29853,x29854,x29855,x29852,x29856,x29857)+~E(x29851,x29852)+~P22(x29853,x29854,x29855,x29851,x29856,x29857)
% 92.33/92.12 [2986]P22(x29863,x29864,x29865,x29866,x29862,x29867)+~E(x29861,x29862)+~P22(x29863,x29864,x29865,x29866,x29861,x29867)
% 92.33/92.12 [2987]P22(x29873,x29874,x29875,x29876,x29877,x29872)+~E(x29871,x29872)+~P22(x29873,x29874,x29875,x29876,x29877,x29871)
% 92.33/92.12 [2988]P46(x29882,x29883,x29884)+~E(x29881,x29882)+~P46(x29881,x29883,x29884)
% 92.33/92.12 [2989]P46(x29893,x29892,x29894)+~E(x29891,x29892)+~P46(x29893,x29891,x29894)
% 92.33/92.12 [2990]P46(x29903,x29904,x29902)+~E(x29901,x29902)+~P46(x29903,x29904,x29901)
% 92.33/92.12 [2991]P40(x29912,x29913,x29914,x29915)+~E(x29911,x29912)+~P40(x29911,x29913,x29914,x29915)
% 92.33/92.12 [2992]P40(x29923,x29922,x29924,x29925)+~E(x29921,x29922)+~P40(x29923,x29921,x29924,x29925)
% 92.33/92.12 [2993]P40(x29933,x29934,x29932,x29935)+~E(x29931,x29932)+~P40(x29933,x29934,x29931,x29935)
% 92.33/92.12 [2994]P40(x29943,x29944,x29945,x29942)+~E(x29941,x29942)+~P40(x29943,x29944,x29945,x29941)
% 92.33/92.12 [2995]P20(x29952,x29953,x29954,x29955)+~E(x29951,x29952)+~P20(x29951,x29953,x29954,x29955)
% 92.33/92.12 [2996]P20(x29963,x29962,x29964,x29965)+~E(x29961,x29962)+~P20(x29963,x29961,x29964,x29965)
% 92.33/92.12 [2997]P20(x29973,x29974,x29972,x29975)+~E(x29971,x29972)+~P20(x29973,x29974,x29971,x29975)
% 92.33/92.12 [2998]P20(x29983,x29984,x29985,x29982)+~E(x29981,x29982)+~P20(x29983,x29984,x29985,x29981)
% 92.33/92.12 [2999]~P116(x29991)+P116(x29992)+~E(x29991,x29992)
% 92.33/92.12 [3000]~P79(x30001)+P79(x30002)+~E(x30001,x30002)
% 92.33/92.12 [3001]~P120(x30011)+P120(x30012)+~E(x30011,x30012)
% 92.33/92.12 [3002]P42(x30022,x30023)+~E(x30021,x30022)+~P42(x30021,x30023)
% 92.33/92.12 [3003]P42(x30033,x30032)+~E(x30031,x30032)+~P42(x30033,x30031)
% 92.33/92.12 [3004]~P90(x30041)+P90(x30042)+~E(x30041,x30042)
% 92.33/92.12 [3005]P28(x30052,x30053,x30054)+~E(x30051,x30052)+~P28(x30051,x30053,x30054)
% 92.33/92.12 [3006]P28(x30063,x30062,x30064)+~E(x30061,x30062)+~P28(x30063,x30061,x30064)
% 92.33/92.12 [3007]P28(x30073,x30074,x30072)+~E(x30071,x30072)+~P28(x30073,x30074,x30071)
% 92.33/92.12 [3008]P50(x30082,x30083)+~E(x30081,x30082)+~P50(x30081,x30083)
% 92.33/92.12 [3009]P50(x30093,x30092)+~E(x30091,x30092)+~P50(x30093,x30091)
% 92.33/92.12 [3010]P43(x30102,x30103)+~E(x30101,x30102)+~P43(x30101,x30103)
% 92.33/92.12 [3011]P43(x30113,x30112)+~E(x30111,x30112)+~P43(x30113,x30111)
% 92.33/92.12 [3012]~P106(x30121)+P106(x30122)+~E(x30121,x30122)
% 92.33/92.12 [3013]P9(x30132,x30133,x30134)+~E(x30131,x30132)+~P9(x30131,x30133,x30134)
% 92.33/92.12 [3014]P9(x30143,x30142,x30144)+~E(x30141,x30142)+~P9(x30143,x30141,x30144)
% 92.33/92.12 [3015]P9(x30153,x30154,x30152)+~E(x30151,x30152)+~P9(x30153,x30154,x30151)
% 92.33/92.12 [3016]~P44(x30161)+P44(x30162)+~E(x30161,x30162)
% 92.33/92.12 [3017]~P118(x30171)+P118(x30172)+~E(x30171,x30172)
% 92.33/92.12 [3018]~P91(x30181)+P91(x30182)+~E(x30181,x30182)
% 92.33/92.12 [3019]~P137(x30191)+P137(x30192)+~E(x30191,x30192)
% 92.33/92.12 [3020]P48(x30202,x30203,x30204,x30205)+~E(x30201,x30202)+~P48(x30201,x30203,x30204,x30205)
% 92.33/92.12 [3021]P48(x30213,x30212,x30214,x30215)+~E(x30211,x30212)+~P48(x30213,x30211,x30214,x30215)
% 92.33/92.12 [3022]P48(x30223,x30224,x30222,x30225)+~E(x30221,x30222)+~P48(x30223,x30224,x30221,x30225)
% 92.33/92.12 [3023]P48(x30233,x30234,x30235,x30232)+~E(x30231,x30232)+~P48(x30233,x30234,x30235,x30231)
% 92.33/92.12 [3024]~P74(x30241)+P74(x30242)+~E(x30241,x30242)
% 92.33/92.12 [3025]P10(x30252,x30253,x30254,x30255,x30256)+~E(x30251,x30252)+~P10(x30251,x30253,x30254,x30255,x30256)
% 92.33/92.12 [3026]P10(x30263,x30262,x30264,x30265,x30266)+~E(x30261,x30262)+~P10(x30263,x30261,x30264,x30265,x30266)
% 92.33/92.12 [3027]P10(x30273,x30274,x30272,x30275,x30276)+~E(x30271,x30272)+~P10(x30273,x30274,x30271,x30275,x30276)
% 92.33/92.12 [3028]P10(x30283,x30284,x30285,x30282,x30286)+~E(x30281,x30282)+~P10(x30283,x30284,x30285,x30281,x30286)
% 92.33/92.12 [3029]P10(x30293,x30294,x30295,x30296,x30292)+~E(x30291,x30292)+~P10(x30293,x30294,x30295,x30296,x30291)
% 92.33/92.12 [3030]P47(x30302,x30303,x30304)+~E(x30301,x30302)+~P47(x30301,x30303,x30304)
% 92.33/92.12 [3031]P47(x30313,x30312,x30314)+~E(x30311,x30312)+~P47(x30313,x30311,x30314)
% 92.33/92.12 [3032]P47(x30323,x30324,x30322)+~E(x30321,x30322)+~P47(x30323,x30324,x30321)
% 92.33/92.12
% 92.33/92.12 %-------------------------------------------
% 92.34/92.16 cnf(10396,plain,
% 92.34/92.16 (~E(f317(f317(f141(x103961),x103962),x103963),x103963)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(10405,plain,
% 92.34/92.16 (~E(f317(f317(f141(x104051),x104052),x104053),x104053)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(10414,plain,
% 92.34/92.16 (~E(f317(a102,x104141),x104141)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10421,plain,
% 92.34/92.16 (~E(f317(a102,x104211),x104211)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10424,plain,
% 92.34/92.16 (~E(f317(a102,x104241),x104241)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10431,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),f41(a897,x104311,x104312)),x104311))),
% 92.34/92.16 inference(rename_variables,[],[3877])).
% 92.34/92.16 cnf(10434,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x104341),x104342)),x104342))),
% 92.34/92.16 inference(rename_variables,[],[4627])).
% 92.34/92.16 cnf(10437,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x104371),x104372)),x104372))),
% 92.34/92.16 inference(rename_variables,[],[4627])).
% 92.34/92.16 cnf(10440,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x104401),x104401))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10443,plain,
% 92.34/92.16 (~E(f317(a102,x104431),x104431)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10454,plain,
% 92.34/92.16 (~E(f317(a102,x104541),x104541)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10457,plain,
% 92.34/92.16 (~E(f317(a102,x104571),x104571)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10467,plain,
% 92.34/92.16 (P1(f317(f317(f319(x104671),x104672),f232(f904(x104671,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(10470,plain,
% 92.34/92.16 (~E(f317(a102,x104701),x104701)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10473,plain,
% 92.34/92.16 (~E(f317(a102,x104731),f2(a897))),
% 92.34/92.16 inference(rename_variables,[],[4573])).
% 92.34/92.16 cnf(10478,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x104781),x104781))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(10501,plain,
% 92.34/92.16 (P1(f317(f317(f319(x105011),x105012),f232(f904(x105011,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(10506,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x105061),f317(a102,x105061)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10511,plain,
% 92.34/92.16 (P1(f317(f317(f319(x105111),x105112),f232(f904(x105111,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(10537,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x105371),f317(a102,x105371)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10546,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x105461),x105461))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(10561,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x105611),x105611))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10576,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x105761),f317(a102,x105761)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10605,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x106051),x106052)),x106052))),
% 92.34/92.16 inference(rename_variables,[],[4627])).
% 92.34/92.16 cnf(10610,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x106101)),x106101))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(10613,plain,
% 92.34/92.16 (E(f317(f252(x106131),x106132),x106132)),
% 92.34/92.16 inference(rename_variables,[],[3264])).
% 92.34/92.16 cnf(10633,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x106331),x106332),f178(f904(x106331,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(10636,plain,
% 92.34/92.16 (E(f163(x106361,x106362,f103(x106361)),x106362)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(10639,plain,
% 92.34/92.16 (E(f163(x106391,f103(x106391),x106392),x106392)),
% 92.34/92.16 inference(rename_variables,[],[3367])).
% 92.34/92.16 cnf(10650,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x106501),f317(a102,x106501)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10669,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x106691),x106691))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(10672,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x106721),f317(a102,x106721)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10679,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x106791),f317(a102,x106791)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10682,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x106821),f317(a102,x106821)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10687,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x106871),x106871))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(10700,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x107001),x107001))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10707,plain,
% 92.34/92.16 (~E(f317(a102,x107071),f2(a897))),
% 92.34/92.16 inference(rename_variables,[],[4573])).
% 92.34/92.16 cnf(10712,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x107121),x107121))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10723,plain,
% 92.34/92.16 (~E(f317(a102,x107231),x107231)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10726,plain,
% 92.34/92.16 (~E(f317(f317(f141(x107261),x107262),x107263),x107263)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(10733,plain,
% 92.34/92.16 (~E(f317(f317(f141(x107331),x107332),x107333),x107333)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(10754,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x107541),x107541))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(10759,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x107591),x107591))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10767,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x107671),x107671))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10772,plain,
% 92.34/92.16 (E(f163(x107721,x107722,f103(x107721)),x107722)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(10775,plain,
% 92.34/92.16 (E(f163(x107751,x107752,f103(x107751)),x107752)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(10778,plain,
% 92.34/92.16 (~E(f317(a102,x107781),x107781)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(10781,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x107811),f103(x107811)),x107812))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(10786,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x107861),f103(x107861)),x107862))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(10805,plain,
% 92.34/92.16 (~P1(f317(f317(f225(f904(x108051,a893)),x108052),f178(f904(x108051,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4624])).
% 92.34/92.16 cnf(10810,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x108101)),x108101))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(10813,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x108131)),x108131))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(10818,plain,
% 92.34/92.16 (~E(f317(f300(x108181,f904(x108181,a893),x108182),x108183),f317(f298(x108181),x108183))),
% 92.34/92.16 inference(rename_variables,[],[4614])).
% 92.34/92.16 cnf(10829,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),f2(a897)),x108291))),
% 92.34/92.16 inference(rename_variables,[],[3450])).
% 92.34/92.16 cnf(10832,plain,
% 92.34/92.16 (P1(f317(f317(f224(a1),x108321),x108321))),
% 92.34/92.16 inference(rename_variables,[],[3430])).
% 92.34/92.16 cnf(10837,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x108371),f317(a102,f317(f317(f74(a897),x108372),x108371))))),
% 92.34/92.16 inference(rename_variables,[],[3870])).
% 92.34/92.16 cnf(10840,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x108401),f317(f317(f75(a897),x108401),x108401)))),
% 92.34/92.16 inference(rename_variables,[],[3687])).
% 92.34/92.16 cnf(10843,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x108431),f317(f317(f75(a897),x108431),x108431)))),
% 92.34/92.16 inference(rename_variables,[],[3687])).
% 92.34/92.16 cnf(10846,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x108461),f317(f317(f74(a897),x108462),x108461)))),
% 92.34/92.16 inference(rename_variables,[],[3685])).
% 92.34/92.16 cnf(10849,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x108491),f317(f317(f74(a897),x108492),x108491)))),
% 92.34/92.16 inference(rename_variables,[],[3685])).
% 92.34/92.16 cnf(10854,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x108541,a893)),f317(f300(x108542,x108541,x108543),f317(f301(x108542,x108541,x108543),x108544))),x108544))),
% 92.34/92.16 inference(rename_variables,[],[4293])).
% 92.34/92.16 cnf(10859,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x108591),x108591))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10866,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x108661),x108661))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(10869,plain,
% 92.34/92.16 (P1(f317(f317(f224(a1),x108691),x108691))),
% 92.34/92.16 inference(rename_variables,[],[3430])).
% 92.34/92.16 cnf(10890,plain,
% 92.34/92.16 (P1(f317(f232(f904(x108901,a893)),x108902))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(10893,plain,
% 92.34/92.16 (P1(f317(f232(f904(x108931,a893)),x108932))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(10896,plain,
% 92.34/92.16 (P1(f317(f232(f904(x108961,a893)),x108962))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(10899,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),f2(a897)),x108991))),
% 92.34/92.16 inference(rename_variables,[],[3450])).
% 92.34/92.16 cnf(10902,plain,
% 92.34/92.16 (P1(f317(f317(f277(a897),f317(a102,f2(a897))),x109021))),
% 92.34/92.16 inference(rename_variables,[],[3579])).
% 92.34/92.16 cnf(10905,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x109051),x109052)),x109052))),
% 92.34/92.16 inference(rename_variables,[],[4627])).
% 92.34/92.16 cnf(10908,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x109081),x109082)),x109081))),
% 92.34/92.16 inference(rename_variables,[],[4628])).
% 92.34/92.16 cnf(10911,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x109111),x109112)),x109112))),
% 92.34/92.16 inference(rename_variables,[],[4627])).
% 92.34/92.16 cnf(10914,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x109141),x109142)),x109141))),
% 92.34/92.16 inference(rename_variables,[],[4628])).
% 92.34/92.16 cnf(10917,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x109171)),x109171))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(10922,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x109221)),x109221))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(10929,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x109291),f317(a102,x109291)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(10934,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x109341),f317(f317(f75(a897),x109341),x109341)))),
% 92.34/92.16 inference(rename_variables,[],[3687])).
% 92.34/92.16 cnf(10966,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x109661),f103(x109661)),x109662))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(10969,plain,
% 92.34/92.16 (~P1(f317(f57(x109691,x109692,f178(f904(x109691,a893))),x109693))),
% 92.34/92.16 inference(rename_variables,[],[4626])).
% 92.34/92.16 cnf(10972,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x109721),f103(x109721)),x109722))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(10975,plain,
% 92.34/92.16 (~P1(f317(f57(x109751,x109752,f178(f904(x109751,a893))),x109753))),
% 92.34/92.16 inference(rename_variables,[],[4626])).
% 92.34/92.16 cnf(10978,plain,
% 92.34/92.16 (~P1(f317(f317(f178(f904(x109781,f904(x109782,a893))),x109783),x109784))),
% 92.34/92.16 inference(rename_variables,[],[4630])).
% 92.34/92.16 cnf(11001,plain,
% 92.34/92.16 (~E(f317(a102,x110011),f2(a897))),
% 92.34/92.16 inference(rename_variables,[],[4573])).
% 92.34/92.16 cnf(11079,plain,
% 92.34/92.16 (~E(f317(a102,x110791),x110791)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11082,plain,
% 92.34/92.16 (~E(f317(a102,x110821),x110821)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11085,plain,
% 92.34/92.16 (~E(f317(f317(f141(x110851),x110852),x110853),x110853)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(11102,plain,
% 92.34/92.16 (P1(f317(f317(f319(x111021),x111022),f232(f904(x111021,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11105,plain,
% 92.34/92.16 (P1(f317(f317(f319(x111051),x111052),f317(f317(f299(x111051),x111052),x111053)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(11108,plain,
% 92.34/92.16 (P1(f317(f317(f319(x111081),x111082),f232(f904(x111081,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11111,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x111111),x111112),f178(f904(x111111,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11116,plain,
% 92.34/92.16 (~E(f317(a102,x111161),x111161)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11153,plain,
% 92.34/92.16 (~P1(f317(f317(f178(f904(x111531,f904(x111532,a893))),x111533),x111534))),
% 92.34/92.16 inference(rename_variables,[],[4630])).
% 92.34/92.16 cnf(11158,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x111581),x111581))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11196,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x111961,a893)),f178(f904(x111961,a893))),x111962))),
% 92.34/92.16 inference(rename_variables,[],[3869])).
% 92.34/92.16 cnf(11199,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x111991),f317(a102,x111991)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(11202,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x112021),x112021))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11207,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x112071),x112071))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11210,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x112101),x112101))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11219,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x112191),x112191))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11236,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x112361),x112361))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11247,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x112471),f2(a897)))),
% 92.34/92.16 inference(rename_variables,[],[4607])).
% 92.34/92.16 cnf(11250,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x112501),f103(x112501)),x112502))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11267,plain,
% 92.34/92.16 (E(f317(f317(f124(x112671),f103(x112671)),x112672),x112672)),
% 92.34/92.16 inference(rename_variables,[],[3384])).
% 92.34/92.16 cnf(11281,plain,
% 92.34/92.16 (E(f163(x112811,x112812,f103(x112811)),x112812)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(11284,plain,
% 92.34/92.16 (E(f163(x112841,x112842,f103(x112841)),x112842)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(11287,plain,
% 92.34/92.16 (~E(f317(a102,x112871),x112871)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11290,plain,
% 92.34/92.16 (~E(f317(a102,x112901),x112901)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11296,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x112961),x112962),f178(f904(x112961,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11303,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x113031,a893)),f178(f904(x113031,a893))),x113032))),
% 92.34/92.16 inference(rename_variables,[],[3869])).
% 92.34/92.16 cnf(11308,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x113081),f317(a102,x113081)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(11313,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x113131,a893)),x113132),f317(f317(f299(x113131),x113133),x113132)))),
% 92.34/92.16 inference(rename_variables,[],[3867])).
% 92.34/92.16 cnf(11316,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x113161,a893)),x113162),f317(f317(f299(x113161),x113163),x113162)))),
% 92.34/92.16 inference(rename_variables,[],[3867])).
% 92.34/92.16 cnf(11319,plain,
% 92.34/92.16 (P1(f317(f317(f224(a1),x113191),x113191))),
% 92.34/92.16 inference(rename_variables,[],[3430])).
% 92.34/92.16 cnf(11322,plain,
% 92.34/92.16 (P1(f317(f317(f319(x113221),x113222),f232(f904(x113221,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11331,plain,
% 92.34/92.16 (P1(f317(f317(f319(x113311),x113312),f232(f904(x113311,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11340,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x113401),x113401))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11353,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x113531),x113531))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11356,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x113561),f317(f317(f75(a897),x113561),x113561)))),
% 92.34/92.16 inference(rename_variables,[],[3687])).
% 92.34/92.16 cnf(11359,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x113591),x113591))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11366,plain,
% 92.34/92.16 (P1(f317(f232(f904(x113661,a893)),x113662))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(11373,plain,
% 92.34/92.16 (P1(f317(f232(f904(x113731,a893)),x113732))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(11390,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x113901),f103(x113901)),x113902))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11397,plain,
% 92.34/92.16 (~E(f317(a102,x113971),x113971)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11402,plain,
% 92.34/92.16 (E(f317(f30(a897),f317(f272(a897),x114021)),x114021)),
% 92.34/92.16 inference(rename_variables,[],[3323])).
% 92.34/92.16 cnf(11410,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x114101,a893)),f178(f904(x114101,a893))),x114102))),
% 92.34/92.16 inference(rename_variables,[],[3869])).
% 92.34/92.16 cnf(11413,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x114131,a893)),f178(f904(x114131,a893))),x114132))),
% 92.34/92.16 inference(rename_variables,[],[3869])).
% 92.34/92.16 cnf(11416,plain,
% 92.34/92.16 (~E(f317(f300(x114161,f904(x114161,a893),x114162),x114163),f317(f298(x114161),x114163))),
% 92.34/92.16 inference(rename_variables,[],[4614])).
% 92.34/92.16 cnf(11429,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x114291,a893)),x114292),x114292))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11432,plain,
% 92.34/92.16 (P1(f317(f317(f225(a897),x114321),f317(a102,x114321)))),
% 92.34/92.16 inference(rename_variables,[],[3494])).
% 92.34/92.16 cnf(11435,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x114351),x114352),f178(f904(x114351,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11442,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x114421,a893)),f317(f300(x114422,x114421,x114423),f317(f301(x114422,x114421,x114423),x114424))),x114424))),
% 92.34/92.16 inference(rename_variables,[],[4293])).
% 92.34/92.16 cnf(11459,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x114591),x114592),f178(f904(x114591,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11462,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x114621),f2(a897)))),
% 92.34/92.16 inference(rename_variables,[],[4607])).
% 92.34/92.16 cnf(11465,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x114651),x114652),f178(f904(x114651,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11470,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x114701),f103(x114701)),x114702))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11477,plain,
% 92.34/92.16 (~E(f317(a102,x114771),x114771)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11491,plain,
% 92.34/92.16 (P1(f317(f317(f319(x114911),x114912),f232(f904(x114911,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11494,plain,
% 92.34/92.16 (P1(f317(f317(f319(x114941),x114942),f232(f904(x114941,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11497,plain,
% 92.34/92.16 (P1(f317(f317(f319(x114971),x114972),f232(f904(x114971,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11502,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x115021),x115022),f178(f904(x115021,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11505,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x115051,x115051)),f317(f317(f242(x115051,x115051),x115052),x115053)),f143(x115051,f103(f904(x115051,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11508,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x115081),x115082),f178(f904(x115081,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11511,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x115111,x115111)),f317(f317(f242(x115111,x115111),x115112),x115113)),f143(x115111,f103(f904(x115111,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11514,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x115141),x115142),f178(f904(x115141,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11517,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115171,a893)),x115172),f232(f904(x115171,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11520,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115201,a893)),x115202),f232(f904(x115201,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11525,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x115251),x115251))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11536,plain,
% 92.34/92.16 (P1(f317(f317(f319(x115361),x115362),f232(f904(x115361,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11539,plain,
% 92.34/92.16 (P1(f317(f317(f319(x115391),x115392),f232(f904(x115391,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11556,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x115561),f2(a897)))),
% 92.34/92.16 inference(rename_variables,[],[4607])).
% 92.34/92.16 cnf(11563,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x115631),x115631))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11566,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x115661),f103(x115661)),x115662))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11569,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115691,a893)),x115692),x115692))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11572,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x115721),x115722),f178(f904(x115721,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11575,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x115751),x115751))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11578,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115781,a893)),x115782),f232(f904(x115781,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11581,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115811,a893)),x115812),f232(f904(x115811,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11584,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x115841),x115842),f178(f904(x115841,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11589,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x115891,a893)),x115892),f232(f904(x115891,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11596,plain,
% 92.34/92.16 (~E(f317(a102,x115961),f2(a897))),
% 92.34/92.16 inference(rename_variables,[],[4573])).
% 92.34/92.16 cnf(11602,plain,
% 92.34/92.16 (E(f317(f300(x116021,x116021,f5(x116021)),x116022),x116022)),
% 92.34/92.16 inference(rename_variables,[],[3483])).
% 92.34/92.16 cnf(11605,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x116051),x116052),f178(f904(x116051,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11608,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x116081),x116082),f178(f904(x116081,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11613,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x116131),x116131))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11618,plain,
% 92.34/92.16 (E(f317(f30(a897),f317(f272(a897),x116181)),x116181)),
% 92.34/92.16 inference(rename_variables,[],[3323])).
% 92.34/92.16 cnf(11623,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x116231),f103(x116231)),x116232))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11630,plain,
% 92.34/92.16 (P1(f317(f317(f319(x116301),x116302),f232(f904(x116301,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11635,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x116351),x116352),f178(f904(x116351,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11638,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x116381,x116381)),f317(f317(f242(x116381,x116381),x116382),x116383)),f143(x116381,f103(f904(x116381,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11643,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x116431),x116432),f178(f904(x116431,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11650,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x116501,a893)),x116502),f232(f904(x116501,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11655,plain,
% 92.34/92.16 (P1(f317(f317(f319(x116551),x116552),f232(f904(x116551,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11658,plain,
% 92.34/92.16 (P1(f317(f317(f319(x116581),x116582),f317(f317(f299(x116581),x116582),x116583)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(11661,plain,
% 92.34/92.16 (P1(f317(f317(f319(x116611),x116612),f232(f904(x116611,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11664,plain,
% 92.34/92.16 (P1(f317(f317(f319(x116641),x116642),f317(f317(f299(x116641),x116642),x116643)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(11667,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x116671,a893)),x116672),f232(f904(x116671,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11676,plain,
% 92.34/92.16 (~P1(f317(f317(f162(x116761),f103(x116761)),x116762))),
% 92.34/92.16 inference(rename_variables,[],[4612])).
% 92.34/92.16 cnf(11691,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x116911),x116911))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11694,plain,
% 92.34/92.16 (E(f317(f300(x116941,x116941,f5(x116941)),x116942),x116942)),
% 92.34/92.16 inference(rename_variables,[],[3483])).
% 92.34/92.16 cnf(11697,plain,
% 92.34/92.16 (E(f163(x116971,x116972,f103(x116971)),x116972)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(11700,plain,
% 92.34/92.16 (~E(f317(a102,x117001),x117001)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(11707,plain,
% 92.34/92.16 (P1(f317(f317(f319(x117071),x117072),f232(f904(x117071,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11712,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117121),x117122),f178(f904(x117121,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11724,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x117241,x117241)),f317(f317(f242(x117241,x117241),x117242),x117243)),f143(x117241,f103(f904(x117241,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11727,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117271),x117272),f178(f904(x117271,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11734,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x117341,a893)),x117342),x117342))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11737,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117371),x117372),f178(f904(x117371,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11740,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x117401,x117401)),f317(f317(f242(x117401,x117401),x117402),x117403)),f143(x117401,f103(f904(x117401,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11743,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(f898(x117431),f898(x117431))),f317(f317(f242(f898(x117431),f898(x117431)),x117432),f103(x117431))),f135(x117431,x117433)))),
% 92.34/92.16 inference(rename_variables,[],[4633])).
% 92.34/92.16 cnf(11748,plain,
% 92.34/92.16 (P1(f317(f317(f319(x117481),x117482),f232(f904(x117481,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11751,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x117511),x117511))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11754,plain,
% 92.34/92.16 (P1(f317(f317(f319(x117541),x117542),f232(f904(x117541,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11757,plain,
% 92.34/92.16 (P1(f317(f317(f319(x117571),x117572),f232(f904(x117571,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11760,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117601),x117602),f178(f904(x117601,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11765,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x117651),x117651))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11768,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117681),x117682),f178(f904(x117681,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11771,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x117711,x117711)),f317(f317(f242(x117711,x117711),x117712),x117713)),f143(x117711,f103(f904(x117711,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11774,plain,
% 92.34/92.16 (P1(f317(f232(f904(x117741,a893)),x117742))),
% 92.34/92.16 inference(rename_variables,[],[3487])).
% 92.34/92.16 cnf(11777,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117771),x117772),f178(f904(x117771,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11780,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x117801,x117801)),f317(f317(f242(x117801,x117801),x117802),x117803)),f143(x117801,f103(f904(x117801,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11783,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117831),x117832),f178(f904(x117831,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11786,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117861),x117862),f178(f904(x117861,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11789,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x117891,a893)),x117892),x117892))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11792,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x117921,a893)),x117922),x117922))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11795,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x117951),x117952),f178(f904(x117951,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11800,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118001),x118002),f232(f904(x118001,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11803,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118031),x118032),f317(f317(f299(x118031),x118032),x118033)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(11810,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118101),x118102),f178(f904(x118101,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11813,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118131),x118132),f178(f904(x118131,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11816,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118161),x118162),f178(f904(x118161,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11819,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x118191,x118191)),f317(f317(f242(x118191,x118191),x118192),x118193)),f143(x118191,f103(f904(x118191,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11826,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118261),x118262),f232(f904(x118261,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11829,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118291),x118292),f232(f904(x118291,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11832,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118321),x118322),f232(f904(x118321,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11835,plain,
% 92.34/92.16 (~P1(f317(f317(f225(a897),x118351),x118351))),
% 92.34/92.16 inference(rename_variables,[],[4604])).
% 92.34/92.16 cnf(11840,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118401),x118402),f178(f904(x118401,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11843,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118431),x118432),f232(f904(x118431,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(11846,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118461),x118462),f178(f904(x118461,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11851,plain,
% 92.34/92.16 (P1(f317(f317(f319(x118511),x118512),f317(f317(f299(x118511),x118512),x118513)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(11854,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x118541),x118541))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(11857,plain,
% 92.34/92.16 (~E(f317(f300(x118571,f904(x118571,a893),x118572),x118573),f317(f298(x118571),x118573))),
% 92.34/92.16 inference(rename_variables,[],[4614])).
% 92.34/92.16 cnf(11868,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118681),x118682),f178(f904(x118681,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11871,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118711),x118712),f178(f904(x118711,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11874,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118741),x118742),f178(f904(x118741,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11877,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118771),x118772),f178(f904(x118771,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11880,plain,
% 92.34/92.16 (P1(f317(f317(f319(f903(f898(x118801),f898(x118801))),f317(f317(f242(f898(x118801),f898(x118801)),x118802),x118802)),f148(x118801,f297(x118801,x118803))))),
% 92.34/92.16 inference(rename_variables,[],[4190])).
% 92.34/92.16 cnf(11883,plain,
% 92.34/92.16 (P1(f317(f317(f319(f903(f898(x118831),f898(x118831))),f317(f317(f242(f898(x118831),f898(x118831)),x118832),x118832)),f148(x118831,f297(x118831,x118833))))),
% 92.34/92.16 inference(rename_variables,[],[4190])).
% 92.34/92.16 cnf(11886,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x118861,a893)),x118862),x118862))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11891,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x118911),x118912),f178(f904(x118911,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11894,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x118941,x118941)),f317(f317(f242(x118941,x118941),x118942),x118943)),f143(x118941,f103(f904(x118941,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11901,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x119011,x119011)),f317(f317(f242(x119011,x119011),x119012),x119013)),f143(x119011,f103(f904(x119011,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11908,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x119081,a893)),x119082),x119082))),
% 92.34/92.16 inference(rename_variables,[],[3718])).
% 92.34/92.16 cnf(11911,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x119111),x119112),f178(f904(x119111,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11914,plain,
% 92.34/92.16 (~P1(f317(f317(f319(x119141),x119142),f178(f904(x119141,a893))))),
% 92.34/92.16 inference(rename_variables,[],[4615])).
% 92.34/92.16 cnf(11917,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x119171,a893)),x119172),f232(f904(x119171,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11920,plain,
% 92.34/92.16 (P1(f317(f317(f224(f904(x119201,a893)),x119202),f232(f904(x119201,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3803])).
% 92.34/92.16 cnf(11923,plain,
% 92.34/92.16 (P1(f317(f317(f319(x119231),f317(x119232,x119233)),f317(f300(x119234,x119231,x119232),f232(f904(x119234,a893)))))),
% 92.34/92.16 inference(rename_variables,[],[4021])).
% 92.34/92.16 cnf(11926,plain,
% 92.34/92.16 (~P1(f317(f317(f319(f903(x119261,x119261)),f317(f317(f242(x119261,x119261),x119262),x119263)),f143(x119261,f103(f904(x119261,a897)))))),
% 92.34/92.16 inference(rename_variables,[],[4631])).
% 92.34/92.16 cnf(11965,plain,
% 92.34/92.16 (E(f163(x119651,x119652,f103(x119651)),x119652)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12024,plain,
% 92.34/92.16 (E(f163(x120241,x120242,f103(x120241)),x120242)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12047,plain,
% 92.34/92.16 (E(f163(x120471,x120472,f103(x120471)),x120472)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12072,plain,
% 92.34/92.16 (E(f163(x120721,x120722,f103(x120721)),x120722)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12074,plain,
% 92.34/92.16 (E(f163(x120741,x120742,f103(x120741)),x120742)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12076,plain,
% 92.34/92.16 (~E(f317(a102,x120761),x120761)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(12080,plain,
% 92.34/92.16 (P1(f317(f317(f319(x120801),x120802),f232(f904(x120801,a893))))),
% 92.34/92.16 inference(rename_variables,[],[3577])).
% 92.34/92.16 cnf(12089,plain,
% 92.34/92.16 (~E(f317(a102,x120891),x120891)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(12092,plain,
% 92.34/92.16 (~E(f317(a102,x120921),x120921)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(12101,plain,
% 92.34/92.16 (P1(f317(f317(f319(x121011),x121012),f317(f317(f299(x121011),x121012),x121013)))),
% 92.34/92.16 inference(rename_variables,[],[3734])).
% 92.34/92.16 cnf(12104,plain,
% 92.34/92.16 (P1(f317(f317(f319(x121041),f317(x121042,x121043)),f317(f300(x121044,x121041,x121042),f232(f904(x121044,a893)))))),
% 92.34/92.16 inference(rename_variables,[],[4021])).
% 92.34/92.16 cnf(12129,plain,
% 92.34/92.16 (P1(f317(f317(f224(a897),x121291),x121291))),
% 92.34/92.16 inference(rename_variables,[],[3429])).
% 92.34/92.16 cnf(12132,plain,
% 92.34/92.16 (~P1(f317(f317(f224(a897),f317(a102,x121321)),x121321))),
% 92.34/92.16 inference(rename_variables,[],[4613])).
% 92.34/92.16 cnf(12139,plain,
% 92.34/92.16 (~E(f317(a102,x121391),x121391)),
% 92.34/92.16 inference(rename_variables,[],[4571])).
% 92.34/92.16 cnf(12147,plain,
% 92.34/92.16 (E(f163(x121471,x121472,f103(x121471)),x121472)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12150,plain,
% 92.34/92.16 (E(f163(x121501,x121502,f103(x121501)),x121502)),
% 92.34/92.16 inference(rename_variables,[],[3366])).
% 92.34/92.16 cnf(12157,plain,
% 92.34/92.16 (~E(f317(f317(f141(x121571),x121572),x121573),x121573)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(12160,plain,
% 92.34/92.16 (~E(f317(f317(f141(x121601),x121602),x121603),x121603)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(12164,plain,
% 92.34/92.16 (~E(f317(f317(f141(x121641),x121642),x121643),x121643)),
% 92.34/92.16 inference(rename_variables,[],[4584])).
% 92.34/92.16 cnf(12167,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x121671,a893)),x121672),f232(f904(x121671,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3803])).
% 92.34/92.17 cnf(12184,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x121841),x121841))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12208,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122081),x122081))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12211,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x122111)))))),
% 92.34/92.17 inference(rename_variables,[],[4629])).
% 92.34/92.17 cnf(12212,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),f2(a897)),x122121))),
% 92.34/92.17 inference(rename_variables,[],[3450])).
% 92.34/92.17 cnf(12223,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x122231),x122231))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12226,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122261),x122261))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12229,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122291),x122291))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12236,plain,
% 92.34/92.17 (~E(f317(a102,x122361),x122361)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12239,plain,
% 92.34/92.17 (E(f163(x122391,x122392,f103(x122391)),x122392)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(12244,plain,
% 92.34/92.17 (E(f163(x122441,x122442,f103(x122441)),x122442)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(12247,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x122471),x122471))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12248,plain,
% 92.34/92.17 (E(f163(x122481,x122482,f103(x122481)),x122482)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(12265,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x122651),x122651))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12268,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122681),x122681))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12275,plain,
% 92.34/92.17 (P1(f317(f317(f319(x122751),x122752),f232(f904(x122751,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(12279,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x122791,a893)),f317(f300(x122792,x122791,x122793),f317(f301(x122792,x122791,x122793),x122794))),x122794))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(12283,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x122831,a893)),f317(f300(x122832,x122831,x122833),f317(f301(x122832,x122831,x122833),x122834))),x122834))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(12287,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x122871,a893)),x122872),f317(f317(f299(x122871),x122873),x122872)))),
% 92.34/92.17 inference(rename_variables,[],[3867])).
% 92.34/92.17 cnf(12290,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122901),x122901))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12293,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x122931),x122931))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12298,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x122981),x122981))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12305,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x123051),x123051))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12322,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x123221),f317(a102,x123221)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12325,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x123251,a893)),x123252),f317(f317(f299(x123251),x123253),x123252)))),
% 92.34/92.17 inference(rename_variables,[],[3867])).
% 92.34/92.17 cnf(12328,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x123281,a893)),f317(f300(x123282,x123281,x123283),f317(f301(x123282,x123281,x123283),x123284))),x123284))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(12331,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x123311),x123311))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12334,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x123341),x123341))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12355,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x123551),f317(f317(f75(a897),x123551),x123551)))),
% 92.34/92.17 inference(rename_variables,[],[3687])).
% 92.34/92.17 cnf(12372,plain,
% 92.34/92.17 (P1(f317(f29(x123721),f178(f904(x123721,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3501])).
% 92.34/92.17 cnf(12395,plain,
% 92.34/92.17 (~E(f317(a102,x123951),x123951)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12401,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f317(f317(f23(a897),x124011),x124012)),f317(a102,x124011)))),
% 92.34/92.17 inference(rename_variables,[],[3872])).
% 92.34/92.17 cnf(12404,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x124041)),x124041))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12405,plain,
% 92.34/92.17 (~E(f317(a102,x124051),x124051)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12410,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x124101),f317(a102,x124101)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12433,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x124331),x124331))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12436,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x124361),x124361))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12439,plain,
% 92.34/92.17 (E(f163(x124391,x124392,f103(x124391)),x124392)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(12450,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x124501,a893)),x124502),x124502))),
% 92.34/92.17 inference(rename_variables,[],[3718])).
% 92.34/92.17 cnf(12460,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x124601),x124602)),x124602))),
% 92.34/92.17 inference(rename_variables,[],[4627])).
% 92.34/92.17 cnf(12461,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x124611),f317(a102,x124611)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12474,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x124741)),x124741))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12475,plain,
% 92.34/92.17 (P1(f317(f317(f319(x124751),x124752),f232(f904(x124751,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(12482,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x124821)),f317(f73(a1),f317(f90(a1),x124822))))),
% 92.34/92.17 inference(rename_variables,[],[4625])).
% 92.34/92.17 cnf(12493,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x124931),f317(a102,f317(f317(f74(a897),x124932),x124931))))),
% 92.34/92.17 inference(rename_variables,[],[3870])).
% 92.34/92.17 cnf(12494,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x124941),f317(a102,x124941)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12501,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),f41(a897,x125011,x125012)),x125011))),
% 92.34/92.17 inference(rename_variables,[],[3877])).
% 92.34/92.17 cnf(12502,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x125021)))),
% 92.34/92.17 inference(rename_variables,[],[3506])).
% 92.34/92.17 cnf(12527,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x125271),x125271))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12530,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x125301)))),
% 92.34/92.17 inference(rename_variables,[],[3506])).
% 92.34/92.17 cnf(12533,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x125331)))),
% 92.34/92.17 inference(rename_variables,[],[3506])).
% 92.34/92.17 cnf(12536,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x125361)))),
% 92.34/92.17 inference(rename_variables,[],[3506])).
% 92.34/92.17 cnf(12539,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x125391)))),
% 92.34/92.17 inference(rename_variables,[],[3506])).
% 92.34/92.17 cnf(12542,plain,
% 92.34/92.17 (P1(f317(f317(f319(x125421),f317(x125422,x125423)),f317(f300(x125424,x125421,x125422),f232(f904(x125424,a893)))))),
% 92.34/92.17 inference(rename_variables,[],[4021])).
% 92.34/92.17 cnf(12543,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x125431),x125432)),x125432))),
% 92.34/92.17 inference(rename_variables,[],[4627])).
% 92.34/92.17 cnf(12547,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x125471)),x125471))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12555,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x125551),f317(f317(f75(a897),x125551),x125551)))),
% 92.34/92.17 inference(rename_variables,[],[3687])).
% 92.34/92.17 cnf(12571,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x125711),x125712)),x125712))),
% 92.34/92.17 inference(rename_variables,[],[4627])).
% 92.34/92.17 cnf(12609,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126091),x126091))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12632,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x126321),x126322)),x126322))),
% 92.34/92.17 inference(rename_variables,[],[4627])).
% 92.34/92.17 cnf(12635,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126351),f2(a897)))),
% 92.34/92.17 inference(rename_variables,[],[4607])).
% 92.34/92.17 cnf(12650,plain,
% 92.34/92.17 (P24(x126501,x126501,f5(x126501),x126502)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(12653,plain,
% 92.34/92.17 (E(f163(x126531,x126532,f103(x126531)),x126532)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(12656,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126561),x126561))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12657,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x126571),f317(a102,x126571)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12660,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126601),x126601))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12663,plain,
% 92.34/92.17 (E(f317(f317(f74(a1),a77),x126631),x126631)),
% 92.34/92.17 inference(rename_variables,[],[3312])).
% 92.34/92.17 cnf(12671,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126711),x126711))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12672,plain,
% 92.34/92.17 (~E(f317(a102,x126721),x126721)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12675,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126751),x126751))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12676,plain,
% 92.34/92.17 (~E(f317(a102,x126761),x126761)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12679,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x126791),x126791))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12680,plain,
% 92.34/92.17 (~E(f317(a102,x126801),x126801)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12692,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126921),x126921))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12697,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x126971),x126971))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12708,plain,
% 92.34/92.17 (P31(x127081,x127082,f103(x127081),f103(x127081))),
% 92.34/92.17 inference(rename_variables,[],[3670])).
% 92.34/92.17 cnf(12714,plain,
% 92.34/92.17 (P1(f317(f317(f277(a897),x127141),x127141))),
% 92.34/92.17 inference(rename_variables,[],[3431])).
% 92.34/92.17 cnf(12717,plain,
% 92.34/92.17 (P1(f317(f317(f277(a897),x127171),x127171))),
% 92.34/92.17 inference(rename_variables,[],[3431])).
% 92.34/92.17 cnf(12720,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x127201),f317(a102,x127201)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12723,plain,
% 92.34/92.17 (P1(f317(f317(f225(a897),x127231),f317(a102,x127231)))),
% 92.34/92.17 inference(rename_variables,[],[3494])).
% 92.34/92.17 cnf(12726,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x127261),x127261))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12729,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x127291),x127291))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12732,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x127321),x127321))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12735,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x127351),x127351))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12738,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x127381),x127381))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12741,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x127411),x127411))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12744,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x127441),x127441))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12747,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x127471),x127471))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12754,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x127541,a893)),x127542),f317(f317(f299(x127541),x127543),x127542)))),
% 92.34/92.17 inference(rename_variables,[],[3867])).
% 92.34/92.17 cnf(12755,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x127551,a893)),x127552),f232(f904(x127551,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3803])).
% 92.34/92.17 cnf(12758,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x127581,a893)),f317(f300(x127582,x127581,x127583),f317(f301(x127582,x127581,x127583),x127584))),x127584))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(12759,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x127591,a893)),f178(f904(x127591,a893))),x127592))),
% 92.34/92.17 inference(rename_variables,[],[3869])).
% 92.34/92.17 cnf(12766,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x127661,a893)),x127662),f232(f904(x127661,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3803])).
% 92.34/92.17 cnf(12767,plain,
% 92.34/92.17 (~E(f317(a102,x127671),x127671)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12770,plain,
% 92.34/92.17 (~E(f317(a102,x127701),x127701)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12781,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x127811),x127811))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12784,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x127841),x127841))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12787,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x127871),x127871))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12792,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x127921),x127921))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12799,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x127991),x127991))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12802,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x128021),x128021))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12805,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x128051),x128051))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12808,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x128081),x128081))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12811,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x128111),x128111))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12814,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x128141),x128141))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12817,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x128171),x128171))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(12820,plain,
% 92.34/92.17 (P1(f317(f317(f224(a1),x128201),x128201))),
% 92.34/92.17 inference(rename_variables,[],[3430])).
% 92.34/92.17 cnf(12823,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x128231,a893)),x128232),f317(f317(f299(x128231),x128233),x128232)))),
% 92.34/92.17 inference(rename_variables,[],[3867])).
% 92.34/92.17 cnf(12826,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x128261,a893)),f317(f300(x128262,x128261,x128263),f317(f301(x128262,x128261,x128263),x128264))),x128264))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(12834,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x128341),x128341))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12837,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x128371),x128371))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12840,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x128401),x128401))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12843,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x128431),x128432)),x128432))),
% 92.34/92.17 inference(rename_variables,[],[4627])).
% 92.34/92.17 cnf(12846,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x128461),x128461))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12852,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x128521)),x128521))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12855,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x128551)),x128551))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12858,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x128581)),x128581))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12863,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x128631)),x128631))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12878,plain,
% 92.34/92.17 (P1(f317(f317(f319(x128781),x128782),f317(f317(f299(x128781),x128782),x128783)))),
% 92.34/92.17 inference(rename_variables,[],[3734])).
% 92.34/92.17 cnf(12925,plain,
% 92.34/92.17 (P1(f317(f317(f319(x129251),x129252),f232(f904(x129251,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(12928,plain,
% 92.34/92.17 (P24(x129281,x129281,f5(x129281),x129282)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(12931,plain,
% 92.34/92.17 (~P1(f317(f317(f224(a897),f317(a102,x129311)),x129311))),
% 92.34/92.17 inference(rename_variables,[],[4613])).
% 92.34/92.17 cnf(12932,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x129321),f2(a897)))),
% 92.34/92.17 inference(rename_variables,[],[4607])).
% 92.34/92.17 cnf(12940,plain,
% 92.34/92.17 (P1(f317(f317(f319(x129401),x129402),f232(f904(x129401,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(12941,plain,
% 92.34/92.17 (~E(f317(a102,x129411),x129411)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12944,plain,
% 92.34/92.17 (P1(f317(f317(f319(f904(x129441,a893)),x129442),f317(f298(x129441),x129442)))),
% 92.34/92.17 inference(rename_variables,[],[3786])).
% 92.34/92.17 cnf(12945,plain,
% 92.34/92.17 (~E(f317(a102,x129451),x129451)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12965,plain,
% 92.34/92.17 (~E(f317(a102,x129651),x129651)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12976,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x129761),x129761))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(12977,plain,
% 92.34/92.17 (~E(f317(a102,x129771),x129771)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(12983,plain,
% 92.34/92.17 (P1(f317(f317(f277(a897),f317(a102,f2(a897))),x129831))),
% 92.34/92.17 inference(rename_variables,[],[3579])).
% 92.34/92.17 cnf(12986,plain,
% 92.34/92.17 (P1(f317(f317(f277(a897),f317(a102,f2(a897))),x129861))),
% 92.34/92.17 inference(rename_variables,[],[3579])).
% 92.34/92.17 cnf(12989,plain,
% 92.34/92.17 (P1(f317(f317(f224(a897),x129891),x129891))),
% 92.34/92.17 inference(rename_variables,[],[3429])).
% 92.34/92.17 cnf(13001,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x130011,a893)),x130012),f317(f317(f91(f904(x130011,a893)),x130013),x130012)))),
% 92.34/92.17 inference(rename_variables,[],[4008])).
% 92.34/92.17 cnf(13006,plain,
% 92.34/92.17 (~E(f317(a102,x130061),x130061)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(13007,plain,
% 92.34/92.17 (E(f317(f300(x130071,x130071,f5(x130071)),x130072),x130072)),
% 92.34/92.17 inference(rename_variables,[],[3483])).
% 92.34/92.17 cnf(13014,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x130141,a893)),x130142),x130142))),
% 92.34/92.17 inference(rename_variables,[],[3718])).
% 92.34/92.17 cnf(13026,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x130261,a893)),f317(f300(x130262,x130261,x130263),f317(f301(x130262,x130261,x130263),x130264))),x130264))),
% 92.34/92.17 inference(rename_variables,[],[4293])).
% 92.34/92.17 cnf(13032,plain,
% 92.34/92.17 (P1(f317(f317(f319(x130321),x130322),f232(f904(x130321,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13039,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x130391),f2(a897)))),
% 92.34/92.17 inference(rename_variables,[],[4607])).
% 92.34/92.17 cnf(13085,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x130851,a893)),x130852),x130852))),
% 92.34/92.17 inference(rename_variables,[],[3718])).
% 92.34/92.17 cnf(13091,plain,
% 92.34/92.17 (~P1(f317(f317(f178(f904(x130911,f904(x130912,a893))),x130913),x130914))),
% 92.34/92.17 inference(rename_variables,[],[4630])).
% 92.34/92.17 cnf(13094,plain,
% 92.34/92.17 (P1(f317(f317(f319(x130941),x130942),f232(f904(x130941,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13097,plain,
% 92.34/92.17 (P1(f317(f317(f319(f904(x130971,a893)),x130972),f317(f298(x130971),x130972)))),
% 92.34/92.17 inference(rename_variables,[],[3786])).
% 92.34/92.17 cnf(13100,plain,
% 92.34/92.17 (~P1(f317(f317(f178(f904(x131001,f904(x131002,a893))),x131003),x131004))),
% 92.34/92.17 inference(rename_variables,[],[4630])).
% 92.34/92.17 cnf(13103,plain,
% 92.34/92.17 (P24(x131031,x131031,f5(x131031),x131032)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13106,plain,
% 92.34/92.17 (P24(x131061,x131061,f5(x131061),x131062)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13122,plain,
% 92.34/92.17 (~P1(f317(f317(f178(f904(x131221,f904(x131222,a893))),x131223),x131224))),
% 92.34/92.17 inference(rename_variables,[],[4630])).
% 92.34/92.17 cnf(13125,plain,
% 92.34/92.17 (~P1(f317(f317(f178(f904(x131251,f904(x131252,a893))),x131253),x131254))),
% 92.34/92.17 inference(rename_variables,[],[4630])).
% 92.34/92.17 cnf(13137,plain,
% 92.34/92.17 (P1(f317(f317(f319(x131371),x131372),f232(f904(x131371,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13140,plain,
% 92.34/92.17 (P1(f317(f317(f319(x131401),x131402),f317(f317(f299(x131401),x131402),x131403)))),
% 92.34/92.17 inference(rename_variables,[],[3734])).
% 92.34/92.17 cnf(13143,plain,
% 92.34/92.17 (P1(f317(f317(f319(x131431),x131432),f232(f904(x131431,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13149,plain,
% 92.34/92.17 (P24(x131491,x131491,f5(x131491),x131492)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13152,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x131521),x131521))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13164,plain,
% 92.34/92.17 (P1(f317(f317(f319(x131641),x131642),f232(f904(x131641,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13170,plain,
% 92.34/92.17 (P1(f317(f317(f319(x131701),x131702),f232(f904(x131701,a893))))),
% 92.34/92.17 inference(rename_variables,[],[3577])).
% 92.34/92.17 cnf(13179,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x131791),x131791))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13180,plain,
% 92.34/92.17 (~E(f317(a102,x131801),x131801)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(13183,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x131831),x131831))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13184,plain,
% 92.34/92.17 (~E(f317(a102,x131841),x131841)),
% 92.34/92.17 inference(rename_variables,[],[4571])).
% 92.34/92.17 cnf(13192,plain,
% 92.34/92.17 (~P1(f317(f317(f319(x131921),x131922),f178(f904(x131921,a893))))),
% 92.34/92.17 inference(rename_variables,[],[4615])).
% 92.34/92.17 cnf(13217,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x132171),x132171))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13220,plain,
% 92.34/92.17 (P24(x132201,x132201,f5(x132201),x132202)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13223,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x132231),x132231))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13226,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x132261),x132261))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13231,plain,
% 92.34/92.17 (P1(f317(f29(x132311),f317(f162(x132311),x132312)))),
% 92.34/92.17 inference(rename_variables,[],[3468])).
% 92.34/92.17 cnf(13239,plain,
% 92.34/92.17 (E(f317(f317(f16(x132391,x132392),x132393),x132394),x132393)),
% 92.34/92.17 inference(rename_variables,[],[3420])).
% 92.34/92.17 cnf(13249,plain,
% 92.34/92.17 (P24(x132491,x132491,f5(x132491),x132492)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13252,plain,
% 92.34/92.17 (E(f163(x132521,x132522,f103(x132521)),x132522)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(13255,plain,
% 92.34/92.17 (P1(f317(f317(f224(f904(x132551,a893)),f178(f904(x132551,a893))),x132552))),
% 92.34/92.17 inference(rename_variables,[],[3869])).
% 92.34/92.17 cnf(13280,plain,
% 92.34/92.17 (~P1(f317(f317(f225(a897),x132801),x132801))),
% 92.34/92.17 inference(rename_variables,[],[4604])).
% 92.34/92.17 cnf(13286,plain,
% 92.34/92.17 (E(f163(x132861,x132862,f103(x132861)),x132862)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(13289,plain,
% 92.34/92.17 (E(f163(x132891,f103(x132891),x132892),x132892)),
% 92.34/92.17 inference(rename_variables,[],[3367])).
% 92.34/92.17 cnf(13292,plain,
% 92.34/92.17 (E(f163(x132921,x132922,f103(x132921)),x132922)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(13298,plain,
% 92.34/92.17 (E(f163(x132981,x132982,f103(x132981)),x132982)),
% 92.34/92.17 inference(rename_variables,[],[3366])).
% 92.34/92.17 cnf(13308,plain,
% 92.34/92.17 (P24(x133081,x133081,f5(x133081),x133082)),
% 92.34/92.17 inference(rename_variables,[],[3662])).
% 92.34/92.17 cnf(13339,plain,
% 92.34/92.17 ($false),
% 92.34/92.17 inference(scs_inference,[],[4632,3241,4567,3630,3040,3041,3045,3046,3047,3048,3049,3050,3051,3052,3054,3056,3057,3060,3063,3066,3069,3072,3074,3075,3078,3080,3081,3083,3084,3085,3088,3090,3092,3095,3097,3099,3101,3103,3106,3109,3112,3114,3116,3119,3122,3125,3128,3130,3131,3133,3135,3136,3139,3141,3142,3144,3145,3146,3148,3150,3151,3154,3155,3156,3158,3160,3162,3164,3165,3167,3169,3172,3174,3175,3177,3179,3181,3182,3184,3185,3187,3188,3190,3193,3195,3196,3197,3198,3199,3200,3204,3208,3210,3218,3221,3223,3238,3033,3034,3232,3225,3229,4570,4090,4094,3287,4581,3719,3733,3697,3246,3251,3307,4597,4600,4601,3405,3408,3410,4598,4599,3406,3407,3409,4579,3267,3432,4606,4611,4610,3525,3313,3400,3457,3456,3458,3538,3934,3519,3972,3546,4059,4041,4216,4415,4271,4499,4081,3662,12650,12928,13103,13106,13149,13220,13249,13308,3398,3399,3365,4591,4592,3298,3299,3301,3302,4571,10414,10421,10424,10443,10454,10457,10470,10723,10778,11079,11082,11116,11287,11290,11397,11477,11700,12076,12089,12092,12139,12236,12395,12405,12672,12676,12680,12767,12770,12941,12945,12965,12977,13006,13180,13184,3297,3670,12708,4353,4354,3402,3720,3448,4573,10473,10707,11001,11596,3366,10636,10772,10775,11281,11284,11697,11965,12024,12047,12072,12074,12147,12150,12239,12244,12248,12439,12653,13252,13286,13292,13298,3367,10639,13289,3264,10613,3260,3678,3879,3705,3483,11602,11694,13007,3312,12663,4584,10396,10405,10726,10733,11085,12157,12160,12164,3420,13239,3531,3522,3344,3413,3631,3429,10478,10546,10669,10687,10754,11202,11210,11219,11236,11353,11359,11525,11575,11613,11765,11854,12129,12223,12247,12298,12331,12433,12679,12726,12732,12738,12744,12799,12805,12811,12817,12989,3430,10832,10869,11319,12265,12334,12436,12729,12735,12741,12747,12802,12808,12814,12820,3431,12714,12717,4604,10440,10561,10700,10712,10759,10767,10859,10866,11158,11207,11340,11563,11691,11751,11835,12184,12208,12226,12229,12268,12290,12293,12305,12527,12609,12656,12660,12671,12675,12692,12697,12781,12784,12787,12792,12834,12837,12840,12846,12976,13152,13179,13183,13217,13223,13226,13280,4605,3487,10890,10893,10896,11366,11373,11774,3360,3493,3326,3328,3288,3979,3359,3384,11267,4587,3337,3323,11402,11618,3324,3494,10506,10537,10576,10650,10672,10679,10682,10929,11199,11308,11432,12322,12410,12461,12494,12657,12720,12723,4607,11247,11462,11556,12635,12932,13039,3468,13231,4612,10781,10786,10966,10972,11250,11390,11470,11566,11623,11676,3501,12372,3450,10829,10899,12212,3877,10431,12501,4613,10610,10810,10813,10917,10922,12132,12404,12474,12547,12852,12855,12858,12863,12931,4626,10969,10975,3718,11429,11569,11734,11789,11792,11886,11908,12450,13014,13085,3308,4614,10818,11416,11857,3745,3363,3345,3473,3506,12502,12530,12533,12536,12539,3744,3577,10467,10501,10511,11102,11108,11322,11331,11491,11494,11497,11536,11539,11630,11655,11661,11707,11748,11754,11757,11800,11826,11829,11832,11843,12080,12275,12475,12925,12940,13032,13094,13137,13143,13164,13170,4615,10633,11111,11296,11435,11459,11465,11502,11508,11514,11572,11584,11605,11608,11635,11643,11712,11727,11737,11760,11768,11777,11783,11786,11795,11810,11813,11816,11840,11846,11868,11871,11874,11877,11891,11911,11914,13192,3579,10902,12983,12986,3788,4630,10978,11153,13091,13100,13122,13125,3469,3497,3622,3643,4620,3615,3786,12944,13097,3803,11517,11520,11578,11581,11589,11650,11667,11917,11920,12167,12755,12766,4624,10805,3527,3946,3734,11105,11658,11664,11803,11851,12101,12878,13140,3869,11196,11303,11410,11413,12759,13255,4617,3687,10840,10843,10934,11356,12355,12555,3685,10846,10849,3686,4627,10434,10437,10605,10905,10911,12460,12543,12571,12632,12843,4628,10908,10914,4011,3820,4468,4469,3872,12401,3867,11313,11316,12287,12325,12754,12823,3870,10837,12493,3871,4056,4621,4021,11923,12104,12542,4293,10854,11442,12279,12283,12328,12758,12826,13026,4008,13001,3722,3981,4003,4119,4622,4147,4629,12211,4625,12482,3900,4023,4631,11505,11511,11638,11724,11740,11771,11780,11819,11894,11901,11926,4141,3715,3938,4365,4633,11743,4634,4635,4190,11880,11883,4451,4318,4238,4386,4393,2,9790,6393,6392,5324,5129,5078,5036,5035,4853,4753,4752,8727,8726,8186,8185,5285,5269,5198,5131,4981,4980,4813,4812,4644,8780,8779,5160,5075,9,8,10050,9791,8741,7824,7226,6834,6551,6530,6385,6384,6383,6382,6380,6374,6356,6232,6142,6003,5981,5928,5913,5902,5901,5855,5849,5841,5824,5823,5818,5816,5766,5760,5759,5753,5739,5720,5711,5706,5687,5686,5677,5580,5490,5480,5472,5471,5425,5411,5404,5395,5385,5380,5316,5292,5252,5246,5245,5244,5243,5242,5241,5209,5201,5188,5187,5125,5109,5103,4847,4775,4729,4727,4725,4723,9994,8845,8650,8649,8641,7626,7384,6875,6689,6688,6686,6685,6577,6552,6485,6484,6386,6363,6350,6273,6236,6231,6230,6222,6199,6196,6195,6113,6112,6037,5990,5966,5920,5915,5877,5871,5846,5842,5776,5757,5689,5688,5673,5660,5647,5633,5611,5558,5517,5486,5485,5484,5457,5415,5405,5310,5282,5266,5262,5185,5175,5137,5136,5007,4965,4837,4966,10116,10073,10072,10071,10070,10061,9719,9241,9205,9016,8972,8922,8868,8824,8820,8788,8507,7988,7800,7544,7491,7474,7473,7472,7471,7470,7437,7031,6922,6911,6826,6825,6807,6745,6744,6477,6476,6475,6474,6472,6471,6433,6428,6420,6419,6418,6417,6416,6335,6334,6333,6332,6331,6330,6329,6328,6290,6205,6204,6203,6202,6201,6180,6179,6178,6177,6176,6175,6174,6139,6029,6028,6027,6021,6011,6010,6009,6008,6007,5943,5878,5830,5829,5828,5827,5826,5825,5779,5732,5648,5642,5641,5640,5639,5638,5637,5614,5613,5610,5555,5547,5449,5448,5436,5430,5429,5428,5397,5376,5352,5319,5297,5296,5295,5293,5254,5203,5061,5060,5059,4939,4938,4818,4817,4816,4777,4769,4768,4670,4669,4666,8937,8728,8679,8678,8677,8676,8573,8572,8571,7952,7861,7554,7449,7109,6924,6923,6768,6468,6160,6157,6156,6016,5909,5857,5856,5820,5813,5812,5771,5691,5658,5586,5532,5483,5482,5403,9731,9730,9729,9728,8770,8659,8658,8657,8656,8583,8457,8440,8439,8015,7851,7850,7770,7622,7497,7304,7163,7032,7007,6897,6896,6895,6894,6893,6892,6891,6874,6846,6845,6844,6843,6811,6645,6642,6630,6629,6628,6366,6234,6055,5768,5767,5531,5470,5469,5420,5417,5416,5384,5383,5130,9021,8888,8887,8660,8651,8563,8527,8373,8167,8138,7902,7776,7758,7757,7625,7580,7495,7494,7374,7314,7313,7141,6992,6991,6886,6885,6591,6579,6521,6422,6359,6358,6345,6294,6284,6281,6274,6085,6059,5993,5890,5835,5834,5696,5628,5367,5268,8703,8632,8631,8588,8587,8522,8329,8264,8258,8112,8085,8079,8078,7963,7904,7873,7872,7670,7669,7618,7463,7005,6937,6867,6866,6592,5822,5721,5507,5379,5378,9547,9451,9428,9362,9063,9062,9061,8932,8597,8596,8594,8593,8592,8542,8501,8400,8151,8093,8092,8091,8090,7914,7571,7068,7067,7006,6889,6888,6598,6597,9973,9589,9550,9352,9351,9242,9213,9074,8961,8960,8911,8807,8769,8752,8680,8497,8496,8169,8048,7900,7688,7197,7075,6347,6090,6031,5832,5831,9618,9617,9364,9363,8936,8935,8934,8872,8867,8832,8724,8723,8722,8721,8706,8523,8504,8503,8499,7836,7557,7556,7447,7311,7310,7283,7111,6467,6097,9133,9033,8871,8749,8690,8616,8354,6610,6163,9906,9836,9835,9537,9420,9173,9172,9171,9049,8735,8669,10209,9424,9404,9374,9786,9784,9783,9746,9588,9587,9848,9847,9698,9661,9188,9187,9139,9138,9031,8944,10304,10303,10090,10089,9977,9901,9827,9624,9623,9454,9440,9913,9837,9655,9450,9389,10081,10078,10077,9542,9478,10115,10110,10034,9937,9893,9872,9634,10080,9890,9748,9675,9674,10027,9892,9753,9673,10302,10301,10228,10227,10363,10381,10250,10208,3024,3019,3018,3017,3004,3001,3000,2992,2991,2980,2979,2978,2976,2975,2973,2965,2963,2959,2958,2957,2955,2953,2952,2951,2950,2949,2946,2945,2944,2943,2940,2936,2934,2932,2931,2929,2928,2927,2916,2914,2913,2912,2911,2909,2908,2903,2902,2900,2899,2898,2897,2896,2892,2891,2888,2887,2880,2878,2877,2875,2874,2873,2869,2868,2865,2864,2862,2861,2860,2858,2857,2856,2855,2853,2852,2851,2849,2844,2843,2837,2833,2832,2830,2827,2826,2825,2823,2822,2818,2816,2815,2814,2813,2812,2811,2810,2809,2808,2807,2806,2805,2804,2803,2802,2800,2799,2798,2797,2796,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2784,2782,2781,2779,2778,2777,2776,2775,2774,2772,2771,2770,2769,2768,2767,2766,2765,3,5134,5276,4676,4658,4657,5156,5155,5128,5127,5114,5698,5697,5359,5358,5357,5356,5355,5354,5353,5093,5092,5091,5090,6147,5743,5742,5477,5349,5322,5102,4747,4746,8782,8781,8773,8772,8744,8012,7860,7852,7434,7433,7432,7038,6596,5939,5335,5476,5391,5186,6644,6643,5005,7100,6712,6426,6425,6424,6413,6295,6229,6141,6014,5926,5925,5625,5479,5478,5468,5467,5466,5361,5318,5317,4982,4852,4744,4678,6276,5844,9643,9642,8844,8227,8101,8099,7882,7881,7844,7653,7284,7266,6918,6785,6784,6783,6782,6778,6777,6740,6722,6706,6705,6638,6637,6578,6513,6486,6443,6429,6421,6387,6381,6226,6219,6120,6116,6020,6019,5900,5894,5718,5197,5196,5195,5194,5193,5192,5082,5081,4804,4803,4802,4801,5708,5612,9654,7335,7000,6999,6998,6997,6996,6588,6587,6586,6585,6584,6410,6409,6154,5596,5265,5264,5024,4757,4721,4718,9616,8648,7933,7356,7355,7354,7305,7210,7190,6980,6767,6766,6765,6763,6500,6277,6209,6144,6128,6054,6053,6052,6051,6050,6049,6048,6047,6046,6045,5995,5961,5960,5959,5958,5930,5929,5880,5879,5847,5785,5784,5783,5653,5652,5627,5603,5602,5594,5593,5592,5576,5575,5574,5573,5572,5571,5570,5569,5568,5567,5566,5565,5530,5528,5527,5526,5525,5523,5522,5435,5434,5433,5432,5408,5407,5259,5204,5106,5105,8295,7555,7377,6920,5914,5089,5088,4983,6977,6882,6827,5174,9318,8575,8574,8464,8353,8289,8042,7884,7868,7858,7830,7829,7715,7714,7713,7712,7711,7710,7709,7708,7707,7706,7705,7704,7685,7675,7674,7673,7512,7477,7298,7297,7291,7290,7289,7288,7157,7156,7155,7154,7153,7152,6940,6907,6906,6905,6904,6903,6902,6901,6900,6806,6805,6659,6658,6571,6570,6569,6568,6567,6566,6565,6564,6563,6562,6561,6560,6389,6244,6243,6242,6241,6022,5906,5905,5904,5903,5778,5777,5671,5670,5669,5636,5590,5589,5461,5424,5423,5422,5421,5372,5371,5307,5148,4892,8823,8232,7438,7233,6758,6726,6724,6704,6390,6015,5724,5723,5601,5600,5599,5270,5182,5181,5180,5179,9239,10298,10157,10156,9107,8516,8218,8216,8159,8158,7912,7809,7767,7766,7742,7636,7635,7250,7248,7247,7246,7200,7189,7188,7106,7023,7021,6803,6802,6639,6557,6556,6541,6540,6539,6538,6533,6349,6247,6233,6066,5598,5597,5401,9904,9284,8858,8325,8256,8255,8082,8003,8002,7803,7802,7801,6218,5394,5393,9598,9597,9578,9337,9299,9298,8685,8684,8683,8682,8578,8461,8441,8081,8001,7799,7798,7601,7570,7569,7066,7874,7837,9909,9867,9818,9817,8491,8347,8285,8284,8283,8188,8057,7469,7265,7140,7139,6497,6169,6168,6115,6082,6081,5622,8837,8398,7540,7138,6868,6862,6861,6860,6847,6699,6665,6664,6663,6594,6481,6480,5738,5737,5736,5735,5734,5733,5666,9326,9068,9037,8579,9356,9345,9048,8835,8834,8666,8665,8330,8298]),
% 92.34/92.17 ['proof']).
% 92.34/92.17 % SZS output end Proof
% 92.34/92.17 % Total time :88.300000s
%------------------------------------------------------------------------------