TSTP Solution File: SWW361+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW361+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:08:24 EDT 2024
% Result : Theorem 183.74s 183.89s
% Output : CNFRefutation 184.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW361+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:02:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.59/0.65 start to proof:theBenchmark
% 183.47/183.72 %-------------------------------------------
% 183.47/183.72 % File :CSE---1.7
% 183.47/183.72 % Problem :theBenchmark
% 183.47/183.72 % Transform :cnf
% 183.47/183.72 % Format :tptp:raw
% 183.47/183.72 % Command :java -jar mcs_scs.jar %d %s
% 183.47/183.72
% 183.47/183.72 % Result :Theorem 163.230000s
% 183.47/183.72 % Output :CNFRefutation 163.230000s
% 183.47/183.72 %-------------------------------------------
% 183.47/183.73 %------------------------------------------------------------------------------
% 183.47/183.73 % File : SWW361+1 : TPTP v8.2.0. Released v5.2.0.
% 183.47/183.73 % Domain : Software Verification
% 183.47/183.73 % Problem : Hoare's Logic with Procedures 435426, 5000 axioms selected
% 183.47/183.73 % Version : Especial.
% 183.47/183.73 % English :
% 183.47/183.73
% 183.47/183.73 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 183.47/183.73 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 183.47/183.73 % Source : [Bla11]
% 183.47/183.73 % Names : hoare_435426.5000.p [Bla11]
% 183.47/183.73
% 183.47/183.73 % Status : ContradictoryAxioms
% 183.47/183.73 % Rating : 0.69 v8.1.0, 0.78 v7.5.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v6.4.0, 0.81 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 0.93 v5.3.0, 0.96 v5.2.0
% 183.47/183.73 % Syntax : Number of formulae : 5227 (1637 unt; 0 def)
% 183.47/183.73 % Number of atoms : 12826 (4423 equ)
% 183.47/183.73 % Maximal formula atoms : 13 ( 2 avg)
% 183.47/183.73 % Number of connectives : 8607 (1008 ~; 154 |; 739 &)
% 183.47/183.73 % ( 911 <=>;5795 =>; 0 <=; 0 <~>)
% 183.47/183.73 % Maximal formula depth : 22 ( 6 avg)
% 183.47/183.73 % Maximal term depth : 19 ( 2 avg)
% 183.47/183.73 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 183.47/183.73 % Number of functors : 377 ( 377 usr; 50 con; 0-7 aty)
% 183.47/183.73 % Number of variables : 16549 (16394 !; 155 ?)
% 183.47/183.73 % SPC : FOF_CAX_RFO_SEQ
% 183.47/183.73
% 183.47/183.73 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 183.47/183.73 % 2011-03-01 12:33:17
% 183.47/183.73 %------------------------------------------------------------------------------
% 183.47/183.73 %----Relevant facts (4983)
% 183.47/183.73 fof(fact_ext,axiom,
% 183.47/183.73 ! [V_g_2,V_f_2] :
% 183.47/183.73 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 183.47/183.73 => V_f_2 = V_g_2 ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_finite__imageI,axiom,
% 183.47/183.73 ! [V_h_2,T_c,V_F_2,T_b] :
% 183.47/183.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_finite_OinsertI,axiom,
% 183.47/183.73 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_finite_OemptyI,axiom,
% 183.47/183.73 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_image__eqI,axiom,
% 183.47/183.73 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 183.47/183.73 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 183.47/183.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.47/183.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_insertE,axiom,
% 183.47/183.73 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 183.47/183.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 183.47/183.73 => ( V_a_2 != V_b_2
% 183.47/183.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_insertCI,axiom,
% 183.47/183.73 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 183.47/183.73 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.47/183.73 => V_a_2 = V_b_2 )
% 183.47/183.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_emptyE,axiom,
% 183.47/183.73 ! [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)))) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_assms_I3_J,axiom,
% 183.47/183.73 ! [V_G_2,V_c_2] :
% 183.47/183.73 ( v_wt(V_c_2)
% 183.47/183.73 => ( ! [B_x] :
% 183.47/183.73 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 183.47/183.73 => 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)))) )
% 183.47/183.73 => 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)))) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_insert__image,axiom,
% 183.47/183.73 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.47/183.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.73 => 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) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_singleton__iff,axiom,
% 183.47/183.73 ! [V_a_2,V_b_2,T_b] :
% 183.47/183.73 ( 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)))))
% 183.47/183.73 <=> V_b_2 = V_a_2 ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_singletonE,axiom,
% 183.47/183.73 ! [V_a_2,V_b_2,T_b] :
% 183.47/183.73 ( 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)))))
% 183.47/183.73 => V_b_2 = V_a_2 ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_equalityCE,axiom,
% 183.47/183.73 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 183.47/183.73 ( V_A_2 = V_B_2
% 183.47/183.73 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.73 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 183.47/183.73 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_eq__mem__trans,axiom,
% 183.47/183.73 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 183.47/183.73 ( V_a_2 = V_b_2
% 183.47/183.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 183.47/183.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_eqelem__imp__iff,axiom,
% 183.47/183.73 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 183.47/183.73 ( V_x_2 = V_y_2
% 183.47/183.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.73 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 183.47/183.73
% 183.47/183.73 fof(fact_eqset__imp__iff,axiom,
% 183.47/183.73 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 183.47/183.73 ( V_A_2 = V_B_2
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_mem__def,axiom,
% 183.47/183.74 ! [V_A_2,V_x_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_finite__code,axiom,
% 183.47/183.74 ! [V_A_2,T_b] :
% 183.47/183.74 ( class_Finite__Set_Ofinite(T_b)
% 183.47/183.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_finite,axiom,
% 183.47/183.74 ! [V_A_2,T_b] :
% 183.47/183.74 ( class_Finite__Set_Ofinite(T_b)
% 183.47/183.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__code,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 183.47/183.74 <=> ( V_y_2 = V_x_2
% 183.47/183.74 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__commute,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__absorb2,axiom,
% 183.47/183.74 ! [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) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_equals0D,axiom,
% 183.47/183.74 ! [V_a_2,T_b,V_A_2] :
% 183.47/183.74 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.74 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_empty__iff,axiom,
% 183.47/183.74 ! [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)))) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_ex__in__conv,axiom,
% 183.47/183.74 ! [V_A_2,T_b] :
% 183.47/183.74 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.74 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_all__not__in__conv,axiom,
% 183.47/183.74 ! [V_A_2,T_b] :
% 183.47/183.74 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.74 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__absorb,axiom,
% 183.47/183.74 ! [V_A_2,V_a_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.74 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insertI2,axiom,
% 183.47/183.74 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__ident,axiom,
% 183.47/183.74 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.47/183.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.74 => ( 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)
% 183.47/183.74 <=> V_A_2 = V_B_2 ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__iff,axiom,
% 183.47/183.74 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 183.47/183.74 <=> ( V_a_2 = V_b_2
% 183.47/183.74 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insertI1,axiom,
% 183.47/183.74 ! [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))) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_rev__image__eqI,axiom,
% 183.47/183.74 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_imageI,axiom,
% 183.47/183.74 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 => 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))) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_image__iff,axiom,
% 183.47/183.74 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.47/183.74 <=> ? [B_x] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.47/183.74 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_finite_Oequations_I1_J,axiom,
% 183.47/183.74 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_singleton__inject,axiom,
% 183.47/183.74 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.74 ( 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)))
% 183.47/183.74 => V_a_2 = V_b_2 ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_doubleton__eq__iff,axiom,
% 183.47/183.74 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.74 ( 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))))
% 183.47/183.74 <=> ( ( V_a_2 = V_c_2
% 183.47/183.74 & V_b_2 = V_d_2 )
% 183.47/183.74 | ( V_a_2 = V_d_2
% 183.47/183.74 & V_b_2 = V_c_2 ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_insert__not__empty,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_empty__not__insert,axiom,
% 183.47/183.74 ! [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) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_finite__insert,axiom,
% 183.47/183.74 ! [V_A_2,V_a_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 183.47/183.74 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_image__is__empty,axiom,
% 183.47/183.74 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.47/183.74 ( 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))
% 183.47/183.74 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_image__empty,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_empty__is__image,axiom,
% 183.47/183.74 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.74 ( 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)
% 183.47/183.74 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_image__insert,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_assms_I2_J,axiom,
% 183.47/183.74 ! [V_G_2,V_pn_2] :
% 183.47/183.74 ( 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))))
% 183.47/183.74 => 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)))) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_assms_I4_J,axiom,
% 183.47/183.74 ! [V_pn_2] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 183.47/183.74 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_the__elem__eq,axiom,
% 183.47/183.74 ! [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 ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__one_Oinsert,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.74 => 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)) ) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_assms_I1_J,axiom,
% 183.47/183.74 ! [V_G_2,V_ts_2] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 183.47/183.74 => v_P(V_G_2,V_ts_2) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_bot__apply,axiom,
% 183.47/183.74 ! [V_x_2,T_c,T_b] :
% 183.47/183.74 ( class_Orderings_Obot(T_b)
% 183.47/183.74 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.74 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.74 => 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)) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__image__simple_Oinsert,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.47/183.74 => 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)) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.74 => 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)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_finite__induct,axiom,
% 183.47/183.74 ! [V_Pa_2,V_F_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.74 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.47/183.74 => ( ! [B_x,B_F] :
% 183.47/183.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 183.47/183.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 183.47/183.74 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 183.47/183.74 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 183.47/183.74 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.47/183.74 => 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) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_folding__one__idem_Oin__idem,axiom,
% 183.47/183.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.74 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.74 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_order__refl,axiom,
% 183.47/183.74 ! [V_x,T_a] :
% 183.47/183.74 ( class_Orderings_Opreorder(T_a)
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_equalityI,axiom,
% 183.47/183.74 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.74 => V_A_2 = V_B_2 ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_subsetD,axiom,
% 183.47/183.74 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_empty__subsetI,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_subset__refl,axiom,
% 183.47/183.74 ! [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)) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_set__eq__subset,axiom,
% 183.47/183.74 ! [T_b,V_B_2,V_A_2] :
% 183.47/183.74 ( V_A_2 = V_B_2
% 183.47/183.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_equalityD1,axiom,
% 183.47/183.74 ! [T_b,V_B_2,V_A_2] :
% 183.47/183.74 ( V_A_2 = V_B_2
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_equalityD2,axiom,
% 183.47/183.74 ! [T_b,V_B_2,V_A_2] :
% 183.47/183.74 ( V_A_2 = V_B_2
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_subset__trans,axiom,
% 183.47/183.74 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.47/183.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.47/183.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.47/183.74
% 183.47/183.74 fof(fact_equalityE,axiom,
% 183.47/183.74 ! [T_b,V_B_2,V_A_2] :
% 183.47/183.75 ( V_A_2 = V_B_2
% 183.47/183.75 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_linorder__le__cases,axiom,
% 183.47/183.75 ! [V_y,V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Olinorder(T_a)
% 183.47/183.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_le__funE,axiom,
% 183.47/183.75 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 183.47/183.75 ( class_Orderings_Oord(T_c)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.47/183.75 => 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_xt1_I6_J,axiom,
% 183.47/183.75 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.75 ( class_Orderings_Oorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_xt1_I5_J,axiom,
% 183.47/183.75 ! [V_x,V_y,T_a] :
% 183.47/183.75 ( class_Orderings_Oorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.75 => V_x = V_y ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_order__trans,axiom,
% 183.47/183.75 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Opreorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_order__antisym,axiom,
% 183.47/183.75 ! [V_y,V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Oorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.75 => V_x = V_y ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_xt1_I4_J,axiom,
% 183.47/183.75 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.75 ( class_Orderings_Oorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.75 => ( V_b = V_c
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_ord__le__eq__trans,axiom,
% 183.47/183.75 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.75 ( class_Orderings_Oord(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.75 => ( V_b = V_c
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_xt1_I3_J,axiom,
% 183.47/183.75 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.75 ( class_Orderings_Oorder(T_a)
% 183.47/183.75 => ( V_a = V_b
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_ord__eq__le__trans,axiom,
% 183.47/183.75 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.75 ( class_Orderings_Oord(T_a)
% 183.47/183.75 => ( V_a = V_b
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_order__antisym__conv,axiom,
% 183.47/183.75 ! [V_x_2,V_y_2,T_b] :
% 183.47/183.75 ( class_Orderings_Oorder(T_b)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.75 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_le__funD,axiom,
% 183.47/183.75 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 183.47/183.75 ( class_Orderings_Oord(T_c)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.47/183.75 => 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_order__eq__refl,axiom,
% 183.47/183.75 ! [V_y,V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Opreorder(T_a)
% 183.47/183.75 => ( V_x = V_y
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_order__eq__iff,axiom,
% 183.47/183.75 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.75 ( class_Orderings_Oorder(T_b)
% 183.47/183.75 => ( V_x_2 = V_y_2
% 183.47/183.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_linorder__linear,axiom,
% 183.47/183.75 ! [V_y,V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Olinorder(T_a)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_le__fun__def,axiom,
% 183.47/183.75 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.47/183.75 ( class_Orderings_Oord(T_c)
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.47/183.75 <=> ! [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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one__idem_Oidem,axiom,
% 183.47/183.75 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.75 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_bot__least,axiom,
% 183.47/183.75 ! [V_x,T_a] :
% 183.47/183.75 ( class_Orderings_Obot(T_a)
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 183.47/183.75 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.75 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.75 => 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) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_in__mono,axiom,
% 183.47/183.75 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_set__rev__mp,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_set__mp,axiom,
% 183.47/183.75 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__empty,axiom,
% 183.47/183.75 ! [V_A_2,T_b] :
% 183.47/183.75 ( 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))))
% 183.47/183.75 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_rev__finite__subset,axiom,
% 183.47/183.75 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__subset,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__insertI,axiom,
% 183.47/183.75 ! [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))) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__insertI2,axiom,
% 183.47/183.75 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => 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))) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_insert__mono,axiom,
% 183.47/183.75 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 183.47/183.75 => 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))) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__image__iff,axiom,
% 183.47/183.75 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 <=> ? [B_AA] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 183.47/183.75 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_image__mono,axiom,
% 183.47/183.75 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => 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))) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.75 => 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) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__image__simple_Oempty,axiom,
% 183.47/183.75 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.75 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_insert__subset,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.47/183.75 ( 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))
% 183.47/183.75 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__insert,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.47/183.75 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => ( 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)))
% 183.47/183.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__singletonD,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.75 ( 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)))))
% 183.47/183.75 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.75 | 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__surj,axiom,
% 183.47/183.75 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( 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)))
% 183.47/183.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one_Osingleton,axiom,
% 183.47/183.75 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.75 => 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 ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one_Oclosed,axiom,
% 183.47/183.75 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.75 => ( ! [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))))))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__subset__induct,axiom,
% 183.47/183.75 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 183.47/183.75 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.47/183.75 => ( ! [B_a,B_F] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.47/183.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 183.47/183.75 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 183.47/183.75 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 183.47/183.75 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 183.47/183.75 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( ! [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))
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.47/183.75 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.75 => 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)) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one_Oremove,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => ( ( hAPP(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))
% 183.47/183.75 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 183.47/183.75 & ( hAPP(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))
% 183.47/183.75 => 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)))))) ) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__image__simple_Oremove,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.47/183.75 => 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)))))) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one_Oinsert__remove,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( ( hAPP(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))
% 183.47/183.75 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.47/183.75 & ( hAPP(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))
% 183.47/183.75 => 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)))))) ) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.75 => 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)))))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_folding__one_Oeq__fold_H,axiom,
% 183.47/183.75 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.75 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => 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) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_subset__insert__iff,axiom,
% 183.47/183.75 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => 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)) )
% 183.47/183.75 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_diff__single__insert,axiom,
% 183.47/183.75 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.47/183.75 ( 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))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.75 => 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__subset__image,axiom,
% 183.47/183.75 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.75 => ( 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)))
% 183.47/183.75 => ? [B_C] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_C),V_A_2))
% 183.47/183.75 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_C))
% 183.47/183.75 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_C) ) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_fold1Set__sing,axiom,
% 183.47/183.75 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 183.47/183.75 ( 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))
% 183.47/183.75 <=> V_a_2 = V_b_2 ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_DiffE,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_DiffI,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 183.47/183.75 => 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__Diff,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.75 => 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))) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__idemp,axiom,
% 183.47/183.75 ! [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) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_DiffD2,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_DiffD1,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__iff,axiom,
% 183.47/183.75 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.47/183.75 ( 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)))
% 183.47/183.75 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.75 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_fold__empty,axiom,
% 183.47/183.75 ! [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 ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__cancel,axiom,
% 183.47/183.75 ! [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)) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__empty,axiom,
% 183.47/183.75 ! [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 ).
% 183.47/183.75
% 183.47/183.75 fof(fact_empty__Diff,axiom,
% 183.47/183.75 ! [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)) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_finite__Diff2,axiom,
% 183.47/183.75 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.75 => ( 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)))
% 183.47/183.75 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_double__diff,axiom,
% 183.47/183.75 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.47/183.75 => 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 ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__mono,axiom,
% 183.47/183.75 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.47/183.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 183.47/183.75 => 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))) ) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_Diff__subset,axiom,
% 183.47/183.75 ! [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)) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_insert__Diff1,axiom,
% 183.47/183.75 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 183.47/183.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.75 => 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) ) ).
% 183.47/183.75
% 183.47/183.75 fof(fact_insert__Diff__if,axiom,
% 183.47/183.75 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 183.47/183.75 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.75 => 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) )
% 183.47/183.75 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.75 => 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)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_insert__Diff__single,axiom,
% 183.47/183.76 ! [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) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_Diff__insert2,axiom,
% 183.47/183.76 ! [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) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_Diff__insert,axiom,
% 183.47/183.76 ! [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)))) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_finite__Diff__insert,axiom,
% 183.47/183.76 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 183.47/183.76 ( 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))))
% 183.47/183.76 <=> 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))) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_image__diff__subset,axiom,
% 183.47/183.76 ! [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)))) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold1Set__nonempty,axiom,
% 183.47/183.76 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 183.47/183.76 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_empty__fold1SetE,axiom,
% 183.47/183.76 ! [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)) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_insert__Diff,axiom,
% 183.47/183.76 ! [V_A_2,V_a_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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 ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_Diff__insert__absorb,axiom,
% 183.47/183.76 ! [V_A_2,V_x_2,T_b] :
% 183.47/183.76 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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 ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 183.47/183.76 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 183.47/183.76 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 183.47/183.76 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_minus__apply,axiom,
% 183.47/183.76 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.47/183.76 ( class_Groups_Ominus(T_b)
% 183.47/183.76 => 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)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_diff__eq__diff__less__eq,axiom,
% 183.47/183.76 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.76 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 183.47/183.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 183.47/183.76 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 183.47/183.76 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_finite__empty__induct,axiom,
% 183.47/183.76 ! [V_Pa_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 183.47/183.76 => ( ! [B_a,B_A] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 183.47/183.76 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 183.47/183.76 => 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)))))) ) ) )
% 183.47/183.76 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 183.47/183.76 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 183.47/183.76 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold1Set_Ointros,axiom,
% 183.47/183.76 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__insert__iff,axiom,
% 183.47/183.76 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.47/183.76 ( 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)))
% 183.47/183.76 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 183.47/183.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.47/183.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)) )
% 183.47/183.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 183.47/183.76 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => 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)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 183.47/183.76 => V_y_2 = V_x_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__trans,axiom,
% 183.47/183.76 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__irrefl,axiom,
% 183.47/183.76 ! [V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__neq__iff,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( V_x_2 != V_y_2
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_not__less__iff__gr__or__eq,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 183.47/183.76 | V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__less__linear,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 | V_x = V_y
% 183.47/183.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__antisym__conv3,axiom,
% 183.47/183.76 ! [V_x_2,V_y_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__neqE,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( V_x != V_y
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_less__imp__neq,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => V_x != V_y ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__not__sym,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__imp__not__less,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__imp__not__eq,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => V_x != V_y ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__imp__not__eq2,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => V_y != V_x ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__asym_H,axiom,
% 183.47/183.76 ! [V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I9_J,axiom,
% 183.47/183.76 ! [V_a,V_b,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_ord__eq__less__trans,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oord(T_a)
% 183.47/183.76 => ( V_a = V_b
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I1_J,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( V_a = V_b
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_ord__less__eq__trans,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oord(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.76 => ( V_b = V_c
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I2_J,axiom,
% 183.47/183.76 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.76 => ( V_b = V_c
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__trans,axiom,
% 183.47/183.76 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I10_J,axiom,
% 183.47/183.76 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__asym,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__cases,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ( V_x != V_y
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 183.47/183.76 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.47/183.76 => 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) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_diff__eq__diff__less,axiom,
% 183.47/183.76 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.76 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.47/183.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 183.47/183.76 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 183.47/183.76 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_less__fun__def,axiom,
% 183.47/183.76 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.47/183.76 ( class_Orderings_Oord(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.47/183.76 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I8_J,axiom,
% 183.47/183.76 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__le__less__trans,axiom,
% 183.47/183.76 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I7_J,axiom,
% 183.47/183.76 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__le__trans,axiom,
% 183.47/183.76 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I11_J,axiom,
% 183.47/183.76 ! [V_a,V_b,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.76 => ( V_a != V_b
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__le__neq__trans,axiom,
% 183.47/183.76 ! [V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.76 => ( V_a != V_b
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__le__imp__less__or__eq,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 | V_x = V_y ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__antisym__conv2,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__imp__le,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_leD,axiom,
% 183.47/183.76 ! [V_x,V_y,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_xt1_I12_J,axiom,
% 183.47/183.76 ! [V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( V_a != V_b
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__neq__le__trans,axiom,
% 183.47/183.76 ! [V_b,V_a,T_a] :
% 183.47/183.76 ( class_Orderings_Oorder(T_a)
% 183.47/183.76 => ( V_a != V_b
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__antisym__conv1,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_not__leE,axiom,
% 183.47/183.76 ! [V_x,V_y,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_leI,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__le__less,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Oorder(T_b)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 | V_x_2 = V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_less__le__not__le,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Opreorder(T_b)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_order__less__le,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Oorder(T_b)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 & V_x_2 != V_y_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__le__less__linear,axiom,
% 183.47/183.76 ! [V_y,V_x,T_a] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_a)
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__not__le,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_linorder__not__less,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.76 ( class_Orderings_Olinorder(T_b)
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.47/183.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubsetD,axiom,
% 183.47/183.76 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_not__psubset__empty,axiom,
% 183.47/183.76 ! [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)))) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__eq,axiom,
% 183.47/183.76 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 & V_A_2 != V_B_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_subset__iff__psubset__eq,axiom,
% 183.47/183.76 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 | V_A_2 = V_B_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__imp__subset,axiom,
% 183.47/183.76 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__subset__trans,axiom,
% 183.47/183.76 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_subset__psubset__trans,axiom,
% 183.47/183.76 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 183.47/183.76 ! [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)) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_OemptyI,axiom,
% 183.47/183.76 ! [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)) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_empty__fold__graphE,axiom,
% 183.47/183.76 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( 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))
% 183.47/183.76 => V_x_2 = V_z_2 ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph__imp__finite,axiom,
% 183.47/183.76 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 183.47/183.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 183.47/183.76 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm__idem__insert,axiom,
% 183.47/183.76 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_OinsertI,axiom,
% 183.47/183.76 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.47/183.76 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 183.47/183.76 => 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))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_diff__eq__diff__eq,axiom,
% 183.47/183.76 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.76 ( class_Groups_Oab__group__add(T_b)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => ( V_a_2 = V_b_2
% 183.47/183.76 <=> V_c_2 = V_d_2 ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 183.47/183.76 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_Diff1__fold__graph,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( 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))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 183.47/183.76 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => ? [B_y_H] :
% 183.47/183.76 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 183.47/183.76 & 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)) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold1Set_Oequations,axiom,
% 183.47/183.76 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 183.47/183.76 ( 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))
% 183.47/183.76 <=> ? [B_a,B_A] :
% 183.47/183.76 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 183.47/183.76 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 183.47/183.76 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_insert__fold1SetE,axiom,
% 183.47/183.76 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 183.47/183.76 ( 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))
% 183.47/183.76 => ~ ! [B_a,B_A] :
% 183.47/183.76 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 183.47/183.76 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.47/183.76 => ( 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))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => ~ ! [B_y] :
% 183.47/183.76 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 183.47/183.76 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph__permute__diff,axiom,
% 183.47/183.76 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.76 => ( 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))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 183.47/183.76 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => ( 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)
% 183.47/183.76 => 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)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__image,axiom,
% 183.47/183.76 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.47/183.76 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)))))) )
% 183.47/183.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_finite__nonempty__imp__fold1Set,axiom,
% 183.47/183.76 ! [V_f_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.76 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),B_x1)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_psubset__imp__ex__mem,axiom,
% 183.47/183.76 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.76 => ? [B_b] : 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))) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff1,axiom,
% 183.47/183.76 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Oab__group__add(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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)) )
% 183.47/183.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff1__ring,axiom,
% 183.47/183.76 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Rings_Oring(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__triv,axiom,
% 183.47/183.76 ! [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 ).
% 183.47/183.76
% 183.47/183.76 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_a)
% 183.47/183.76 => 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)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_mult__left__idem,axiom,
% 183.47/183.76 ! [V_b,V_a,T_a] :
% 183.47/183.76 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.47/183.76 => 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) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_mult__idem,axiom,
% 183.47/183.76 ! [V_x,T_a] :
% 183.47/183.76 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.47/183.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_times_Oidem,axiom,
% 183.47/183.76 ! [V_a,T_a] :
% 183.47/183.76 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.47/183.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__idem__iff,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 183.47/183.76 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__upd,axiom,
% 183.47/183.76 ! [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) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__same,axiom,
% 183.47/183.76 ! [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 ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__apply,axiom,
% 183.47/183.76 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 183.47/183.76 ( ( V_z_2 = V_x_2
% 183.47/183.76 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 183.47/183.76 & ( V_z_2 != V_x_2
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__twist,axiom,
% 183.47/183.76 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 183.47/183.76 ( V_a_2 != V_c_2
% 183.47/183.76 => 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) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__other,axiom,
% 183.47/183.76 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 183.47/183.76 ( V_z_2 != V_x_2
% 183.47/183.76 => 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) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__upd__idem,axiom,
% 183.47/183.76 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 183.47/183.76 ( hAPP(V_f_2,V_x_2) = V_y_2
% 183.47/183.76 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 183.47/183.76 ! [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) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 183.47/183.76 ! [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) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm,axiom,
% 183.47/183.76 ! [T_b] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.76 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fun__left__comm__idem,axiom,
% 183.47/183.76 ! [T_b] :
% 183.47/183.76 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.47/183.76 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff__nat,axiom,
% 183.47/183.76 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff1__nat,axiom,
% 183.47/183.76 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 183.47/183.76 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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)) )
% 183.47/183.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff,axiom,
% 183.47/183.76 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Oab__group__add(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph__insert__swap,axiom,
% 183.47/183.76 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.76 => ( 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))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 183.47/183.76 => 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))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 183.47/183.76 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 183.47/183.76 ( 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))
% 183.47/183.76 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.76 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 183.47/183.76 | ? [B_x,B_y] :
% 183.47/183.76 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 183.47/183.76 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 183.47/183.76 & 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) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__strict__mono,axiom,
% 183.47/183.76 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.76 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.76 => ( ! [B_x] :
% 183.47/183.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 183.47/183.76 => 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))) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum_Oremove,axiom,
% 183.47/183.76 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum__diff1_H,axiom,
% 183.47/183.76 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold1__eq__fold,axiom,
% 183.47/183.76 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.76 => 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) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_fold1__insert,axiom,
% 183.47/183.76 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)) ) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setprod_Oremove,axiom,
% 183.47/183.76 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_setsum_Oinsert__remove,axiom,
% 183.47/183.76 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 183.47/183.76 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => 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)))))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 183.47/183.76 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.47/183.76 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.47/183.76 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.47/183.76 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_card__Diff2__less,axiom,
% 183.47/183.76 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.47/183.76 => 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))) ) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_card__Diff1__less,axiom,
% 183.47/183.76 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.76 => 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))) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Groups_Oab__semigroup__add(T_a)
% 183.47/183.76 => 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)) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__left__cancel,axiom,
% 183.47/183.76 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.76 ( class_Groups_Ocancel__semigroup__add(T_b)
% 183.47/183.76 => ( 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)
% 183.47/183.76 <=> V_b_2 = V_c_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__right__cancel,axiom,
% 183.47/183.76 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 183.47/183.76 ( class_Groups_Ocancel__semigroup__add(T_b)
% 183.47/183.76 => ( 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)
% 183.47/183.76 <=> V_b_2 = V_c_2 ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__left__imp__eq,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Groups_Ocancel__semigroup__add(T_a)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => V_b = V_c ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__imp__eq,axiom,
% 183.47/183.76 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.76 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => V_b = V_c ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__right__imp__eq,axiom,
% 183.47/183.76 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.76 ( class_Groups_Ocancel__semigroup__add(T_a)
% 183.47/183.76 => ( 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)
% 183.47/183.76 => V_b = V_c ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__le__imp__le__left,axiom,
% 183.47/183.76 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.47/183.76 => ( 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)))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.47/183.76
% 183.47/183.76 fof(fact_add__le__imp__le__right,axiom,
% 183.47/183.76 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.47/183.76 => ( 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)))
% 183.47/183.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.47/183.76
% 183.47/183.77 fof(fact_add__mono,axiom,
% 183.47/183.77 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.47/183.77 => 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))) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__left__mono,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__right__mono,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__le__cancel__left,axiom,
% 183.47/183.77 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__le__cancel__right,axiom,
% 183.47/183.77 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__imp__less__left,axiom,
% 183.47/183.77 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__imp__less__right,axiom,
% 183.47/183.77 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__strict__mono,axiom,
% 183.47/183.77 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.47/183.77 => 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))) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__strict__left__mono,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__strict__right__mono,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__cancel__left,axiom,
% 183.47/183.77 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__cancel__right,axiom,
% 183.47/183.77 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__diff__cancel,axiom,
% 183.47/183.77 ! [V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Ogroup__add(T_a)
% 183.47/183.77 => 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 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__add__cancel,axiom,
% 183.47/183.77 ! [V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Ogroup__add(T_a)
% 183.47/183.77 => 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 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__insert__le,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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)))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__mono,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__seteq,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.77 => ( 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)))
% 183.47/183.77 => V_A_2 = V_B_2 ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__image__le,axiom,
% 183.47/183.77 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__card__le__card__Diff,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_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)))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__le__less__mono,axiom,
% 183.47/183.77 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.47/183.77 => 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))) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__le__mono,axiom,
% 183.47/183.77 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.47/183.77 => 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))) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_psubset__card__mono,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_fold1__singleton,axiom,
% 183.47/183.77 ! [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 ).
% 183.47/183.77
% 183.47/183.77 fof(fact_fold1__singleton__def,axiom,
% 183.47/183.77 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 183.47/183.77 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 183.47/183.77 => 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 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_folding__one_Oeq__fold,axiom,
% 183.47/183.77 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.77 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Diff__subset,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__psubset,axiom,
% 183.47/183.77 ! [V_A_2,V_B_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.77 => ( 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)))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__insert,axiom,
% 183.47/183.77 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod_Oinsert,axiom,
% 183.47/183.77 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Diff1__le,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setsum_Oinsert,axiom,
% 183.47/183.77 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setsum__insert,axiom,
% 183.47/183.77 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod_Oinsert__remove,axiom,
% 183.47/183.77 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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)))))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_fold1__insert__idem,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.47/183.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_fold1__eq__fold__idem,axiom,
% 183.47/183.77 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.77 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_semilattice__big_OF__eq,axiom,
% 183.47/183.77 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 183.47/183.77 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__add__iff2,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oordered__ring(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__add__iff1,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oordered__ring(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add__iff2,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oordered__ring(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add__iff1,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oordered__ring(T_b)
% 183.47/183.77 => ( 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)))
% 183.47/183.77 <=> 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_eq__add__iff1,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oring(T_b)
% 183.47/183.77 => ( 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)
% 183.47/183.77 <=> 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 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_eq__add__iff2,axiom,
% 183.47/183.77 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Rings_Oring(T_b)
% 183.47/183.77 => ( 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)
% 183.47/183.77 <=> 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) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_fold1__in,axiom,
% 183.47/183.77 ! [V_A_2,T_b] :
% 183.47/183.77 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.77 => ( ! [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))))))
% 183.47/183.77 => 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)) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Diff__singleton__if,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)) )
% 183.47/183.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Diff__singleton,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__diff__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__leE,axiom,
% 183.47/183.77 ! [V_n,V_k,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.47/183.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__leD1,axiom,
% 183.47/183.77 ! [V_n,V_k,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__leD2,axiom,
% 183.47/183.77 ! [V_n,V_k,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__le__mono,axiom,
% 183.47/183.77 ! [V_l,V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__le__mono1,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_trans__le__add2,axiom,
% 183.47/183.77 ! [V_m,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_trans__le__add1,axiom,
% 183.47/183.77 ! [V_m,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__left__cancel__le,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__iff__add,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add1,axiom,
% 183.47/183.77 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add2,axiom,
% 183.47/183.77 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_one__reorient,axiom,
% 183.47/183.77 ! [V_x_2,T_b] :
% 183.47/183.77 ( class_Groups_Oone(T_b)
% 183.47/183.77 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 183.47/183.77 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__refl,axiom,
% 183.47/183.77 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__le__linear,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_eq__imp__le,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( V_m = V_n
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__trans,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__antisym,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.77 => V_m = V_n ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__le__mono,axiom,
% 183.47/183.77 ! [V_l,V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__le__mono2,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__le__mono1,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__cube,axiom,
% 183.47/183.77 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__square,axiom,
% 183.47/183.77 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__mult__eq__1__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.47/183.77 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.47/183.77 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__mult__1__right,axiom,
% 183.47/183.77 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__1__eq__mult__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 183.47/183.77 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.47/183.77 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__mult__1,axiom,
% 183.47/183.77 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult_Ocomm__neutral,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__1__right,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Groups_Omonoid__mult(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__1,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__1__left,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Groups_Omonoid__mult(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__eq__1__iff,axiom,
% 183.47/183.77 ! [V_f_2,V_F_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.77 => ( 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)
% 183.47/183.77 <=> ! [B_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 183.47/183.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__add__one,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__1__mult,axiom,
% 183.47/183.77 ! [V_n,V_m,T_a] :
% 183.47/183.77 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod_Oempty,axiom,
% 183.47/183.77 ! [V_g_2,T_c,T_b] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__empty,axiom,
% 183.47/183.77 ! [V_f_2,T_c,T_b] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__infinite,axiom,
% 183.47/183.77 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod_Oinfinite,axiom,
% 183.47/183.77 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_linorder__neqE__linordered__idom,axiom,
% 183.47/183.77 ! [V_y,V_x,T_a] :
% 183.47/183.77 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.77 => ( V_x != V_y
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__not__refl,axiom,
% 183.47/183.77 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_not__add__less1,axiom,
% 183.47/183.77 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_not__add__less2,axiom,
% 183.47/183.77 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__neq__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( V_m_2 != V_na_2
% 183.47/183.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__left__cancel__less,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_linorder__neqE__nat,axiom,
% 183.47/183.77 ! [V_y,V_x] :
% 183.47/183.77 ( V_x != V_y
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__irrefl__nat,axiom,
% 183.47/183.77 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__not__refl2,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 183.47/183.77 => V_m != V_n ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__not__refl3,axiom,
% 183.47/183.77 ! [V_t,V_s] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 183.47/183.77 => V_s != V_t ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_trans__less__add1,axiom,
% 183.47/183.77 ! [V_m,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_trans__less__add2,axiom,
% 183.47/183.77 ! [V_m,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__mono1,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__less__mono,axiom,
% 183.47/183.77 ! [V_l,V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__add__eq__less,axiom,
% 183.47/183.77 ! [V_n,V_m,V_l,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__lessD1,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__less__cases,axiom,
% 183.47/183.77 ! [V_Pa_2,V_na_2,V_m_2] :
% 183.47/183.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 183.47/183.77 => ( ( V_m_2 = V_na_2
% 183.47/183.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 183.47/183.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 183.47/183.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 183.47/183.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__less__le,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 & V_m_2 != V_na_2 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__eq__less__or__eq,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 | V_m_2 = V_na_2 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__imp__le__nat,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__neq__implies__less,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => ( V_m != V_n
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__or__eq__imp__le,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 | V_m = V_n )
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__diff__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Nat_Odiff__diff__eq,axiom,
% 183.47/183.77 ! [V_n,V_m,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_eq__diff__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)
% 183.47/183.77 <=> V_m_2 = V_na_2 ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__add__assoc2,axiom,
% 183.47/183.77 ! [V_i,V_j,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__diff__assoc2,axiom,
% 183.47/183.77 ! [V_i,V_j,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__add__assoc,axiom,
% 183.47/183.77 ! [V_i,V_j,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__imp__diff__is__add,axiom,
% 183.47/183.77 ! [V_k_2,V_j_2,V_i_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 183.47/183.77 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add__diff__inverse2,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__diff__conv2,axiom,
% 183.47/183.77 ! [V_i_2,V_j_2,V_k_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__diff__assoc,axiom,
% 183.47/183.77 ! [V_i,V_j,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add__diff__inverse,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__diff__cancel,axiom,
% 183.47/183.77 ! [V_n,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__le__mono,axiom,
% 183.47/183.77 ! [V_l,V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__le__mono2,axiom,
% 183.47/183.77 ! [V_l,V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__add__diff,axiom,
% 183.47/183.77 ! [V_m,V_n,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le__diff__conv,axiom,
% 183.47/183.77 ! [V_i_2,V_k_2,V_j_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__diff__right,axiom,
% 183.47/183.77 ! [V_i,V_j,V_k] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__le__self,axiom,
% 183.47/183.77 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__add__inverse2,axiom,
% 183.47/183.77 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__add__inverse,axiom,
% 183.47/183.77 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__diff__left,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__commute,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__cancel,axiom,
% 183.47/183.77 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__cancel2,axiom,
% 183.47/183.77 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__mult__distrib,axiom,
% 183.47/183.77 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__mult__distrib2,axiom,
% 183.47/183.77 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card_Oinsert,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card_Oinsert__remove,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => 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)))))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card_Oremove,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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)))))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Diff__insert,axiom,
% 183.47/183.77 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.47/183.77 => 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)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__class_Odistrib,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_combine__common__factor,axiom,
% 183.47/183.77 ! [V_c,V_b,V_e,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Osemiring(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__less__mono2,axiom,
% 183.47/183.77 ! [V_l,V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__imp__diff__less,axiom,
% 183.47/183.77 ! [V_n,V_k,V_j] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__diff__inverse,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__diff__conv,axiom,
% 183.47/183.77 ! [V_k_2,V_j_2,V_i_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__less__mono,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__less__add__iff2,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__less__add__iff1,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 183.47/183.77 ! [V_m,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 183.47/183.77 ! [V_a,V_m,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 183.47/183.77 ! [V_m,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__eq__add__iff2,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 183.47/183.77 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__diff__add__eq2,axiom,
% 183.47/183.77 ! [V_n,V_m,V_u,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__le__add__iff2,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__eq__add__iff1,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 183.47/183.77 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_na_2 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__diff__add__eq1,axiom,
% 183.47/183.77 ! [V_n,V_m,V_u,V_i,V_j] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 183.47/183.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__mult__distrib2,axiom,
% 183.47/183.77 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__mult__distrib,axiom,
% 183.47/183.77 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__right__cancel,axiom,
% 183.47/183.77 ! [V_na_2,V_k_2,V_m_2] :
% 183.47/183.77 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)
% 183.47/183.77 <=> V_m_2 = V_na_2 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__left__cancel,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.77 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)
% 183.47/183.77 <=> V_m_2 = V_na_2 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__assoc,axiom,
% 183.47/183.77 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__left__commute,axiom,
% 183.47/183.77 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__add__commute,axiom,
% 183.47/183.77 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__mult__assoc,axiom,
% 183.47/183.77 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__mult__commute,axiom,
% 183.47/183.77 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_left__add__mult__distrib,axiom,
% 183.47/183.77 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 183.47/183.77 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 183.47/183.77 ! [V_d,V_c,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 183.47/183.77 ! [V_d,V_c,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 183.47/183.77 ! [V_c,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 183.47/183.77 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 183.47/183.77 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 183.47/183.77 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 183.47/183.77 ! [V_rx,V_ly,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 183.47/183.77 ! [V_rx,V_ly,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 183.47/183.77 ! [V_ry,V_rx,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 183.47/183.77 ! [V_ry,V_rx,V_lx,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 183.47/183.77 ! [V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_crossproduct__eq,axiom,
% 183.47/183.77 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 183.47/183.77 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.47/183.77 => ( 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))
% 183.47/183.77 <=> ( V_w_2 = V_x_2
% 183.47/183.77 | V_y_2 = V_z_2 ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 183.47/183.77 ! [V_b,V_m,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 183.47/183.77 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_crossproduct__noteq,axiom,
% 183.47/183.77 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.77 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.47/183.77 => ( ( V_a_2 != V_b_2
% 183.47/183.77 & V_c_2 != V_d_2 )
% 183.47/183.77 <=> 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 183.47/183.77 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 183.47/183.77 ! [V_a,T_a] :
% 183.47/183.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat__le__add__iff1,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_termination__basic__simps_I3_J,axiom,
% 183.47/183.77 ! [V_z,V_y,V_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_termination__basic__simps_I4_J,axiom,
% 183.47/183.77 ! [V_y,V_z,V_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_termination__basic__simps_I5_J,axiom,
% 183.47/183.77 ! [V_y,V_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_termination__basic__simps_I2_J,axiom,
% 183.47/183.77 ! [V_y,V_z,V_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_termination__basic__simps_I1_J,axiom,
% 183.47/183.77 ! [V_z,V_y,V_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_hom__fold1__commute,axiom,
% 183.47/183.77 ! [V_N_2,V_h_2,T_b] :
% 183.47/183.77 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.47/183.77 => ( ! [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))
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.47/183.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.77 => 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)) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__mono__one__right,axiom,
% 183.47/183.77 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.47/183.77 => ( ! [B_x] :
% 183.47/183.77 ( 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)))
% 183.47/183.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.47/183.77 => 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) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setprod__mono__one__left,axiom,
% 183.47/183.77 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.47/183.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.47/183.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.47/183.77 => ( ! [B_x] :
% 183.47/183.77 ( 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)))
% 183.47/183.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.47/183.77 => 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) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_card__Suc__Diff1,axiom,
% 183.47/183.77 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.77 => 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) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_convex__bound__lt,axiom,
% 183.47/183.77 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 183.47/183.77 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 183.47/183.77 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 183.47/183.77 => 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)) ) ) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__zeroE,axiom,
% 183.47/183.77 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_le0,axiom,
% 183.47/183.77 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_zero__less__Suc,axiom,
% 183.47/183.77 ! [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))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_lessI,axiom,
% 183.47/183.77 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__mono,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_gr0__conv__Suc,axiom,
% 183.47/183.77 ! [V_na_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 183.47/183.77 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__Suc0,axiom,
% 183.47/183.77 ! [V_na_2] :
% 183.47/183.77 ( 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))))
% 183.47/183.77 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__Suc__eq__0__disj,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 183.47/183.77 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.77 | ? [B_j] :
% 183.47/183.77 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 183.47/183.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_zero__reorient,axiom,
% 183.47/183.77 ! [V_x_2,T_b] :
% 183.47/183.77 ( class_Groups_Ozero(T_b)
% 183.47/183.77 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 183.47/183.77 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__inject,axiom,
% 183.47/183.77 ! [V_y,V_x] :
% 183.47/183.77 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 183.47/183.77 => V_x = V_y ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__neq__Zero,axiom,
% 183.47/183.77 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Zero__neq__Suc,axiom,
% 183.47/183.77 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat_Oinject,axiom,
% 183.47/183.77 ! [V_nat_H_2,V_nat_2] :
% 183.47/183.77 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 183.47/183.77 <=> V_nat_2 = V_nat_H_2 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__n__not__n,axiom,
% 183.47/183.77 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat_Osimps_I3_J,axiom,
% 183.47/183.77 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__not__Zero,axiom,
% 183.47/183.77 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_n__not__Suc__n,axiom,
% 183.47/183.77 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_nat_Osimps_I2_J,axiom,
% 183.47/183.77 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Zero__not__Suc,axiom,
% 183.47/183.77 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_one__is__add,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( 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)
% 183.47/183.77 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.47/183.77 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.47/183.77 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.77 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_add__is__1,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( 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))
% 183.47/183.77 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.47/183.77 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.47/183.77 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.77 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_mult__eq__1__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( 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))
% 183.47/183.77 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.47/183.77 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_One__nat__def,axiom,
% 183.47/183.77 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_diff__Suc__less,axiom,
% 183.47/183.77 ! [V_i,V_n] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.77 => 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)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__pred,axiom,
% 183.47/183.77 ! [V_n] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.77 => 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 ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_one__less__mult,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( 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))
% 183.47/183.77 => ( 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))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_n__less__n__mult__m,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( 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))
% 183.47/183.77 => ( 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))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_n__less__m__mult__n,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( 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))
% 183.47/183.77 => ( 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))
% 183.47/183.77 => 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))) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_one__le__mult__iff,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( 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)))
% 183.47/183.77 <=> ( 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))
% 183.47/183.77 & 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)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_setsum__eq__Suc0__iff,axiom,
% 183.47/183.77 ! [V_f_2,V_A_2,T_b] :
% 183.47/183.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.77 => ( 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))
% 183.47/183.77 <=> ? [B_x] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.77 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.47/183.77 & ! [B_xa] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.47/183.77 => ( B_x != B_xa
% 183.47/183.77 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_not__less__eq,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__Suc__eq,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 183.47/183.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.77 | V_m_2 = V_na_2 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__less__eq,axiom,
% 183.47/183.77 ! [V_na_2,V_m_2] :
% 183.47/183.77 ( 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)))
% 183.47/183.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_not__less__less__Suc__eq,axiom,
% 183.47/183.77 ! [V_m_2,V_na_2] :
% 183.47/183.77 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 183.47/183.77 <=> V_na_2 = V_m_2 ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__antisym,axiom,
% 183.47/183.77 ! [V_m,V_n] :
% 183.47/183.77 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 183.47/183.77 => V_m = V_n ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__SucI,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_Suc__lessI,axiom,
% 183.47/183.77 ! [V_n,V_m] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.77 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 183.47/183.77
% 183.47/183.77 fof(fact_less__trans__Suc,axiom,
% 183.47/183.77 ! [V_k,V_j,V_i] :
% 183.47/183.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 183.47/183.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__SucE,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 183.47/183.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => V_m = V_n ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__lessD,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__less__SucD,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__Suc__right,axiom,
% 183.47/183.78 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__Suc,axiom,
% 183.47/183.78 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__Suc__shift,axiom,
% 183.47/183.78 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__n__not__le__n,axiom,
% 183.47/183.78 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__less__eq__eq,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__Suc__eq,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.78 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__le__mono,axiom,
% 183.47/183.78 ! [V_m_2,V_na_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__SucI,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__SucE,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 183.47/183.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__leD,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__Suc__Suc,axiom,
% 183.47/183.78 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__diff__diff,axiom,
% 183.47/183.78 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__mult__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)
% 183.47/183.78 <=> V_m_2 = V_na_2 ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add_Ocomm__neutral,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__0__right,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Omonoid__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_double__zero__sym,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 183.47/183.78 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__0,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__0__left,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Omonoid__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__0__iff,axiom,
% 183.47/183.78 ! [V_a_2,V_b_2,T_b] :
% 183.47/183.78 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.47/183.78 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 183.47/183.78 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__zero__left,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Omult__zero(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__zero__right,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Omult__zero(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__eq__0__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Rings_Oring__no__zero__divisors(T_b)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_no__zero__divisors,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ono__zero__divisors(T_a)
% 183.47/183.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divisors__zero,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ono__zero__divisors(T_a)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__0__right,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Ogroup__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__self,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Groups_Ogroup__add(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_eq__iff__diff__eq__0,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Oab__group__add(T_b)
% 183.47/183.78 => ( V_a_2 = V_b_2
% 183.47/183.78 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_right__minus__eq,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Ogroup__add(T_b)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 <=> V_a_2 = V_b_2 ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_one__neq__zero,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Ozero__neq__one(T_a)
% 183.47/183.78 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__neq__one,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Ozero__neq__one(T_a)
% 183.47/183.78 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__less0,axiom,
% 183.47/183.78 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_neq0__conv,axiom,
% 183.47/183.78 ! [V_na_2] :
% 183.47/183.78 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__nat__zero__code,axiom,
% 183.47/183.78 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_gr__implies__not0,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_gr0I,axiom,
% 183.47/183.78 ! [V_n] :
% 183.47/183.78 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_plus__nat_Oadd__0,axiom,
% 183.47/183.78 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Nat_Oadd__0__right,axiom,
% 183.47/183.78 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__is__0,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__eq__self__zero,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 183.47/183.78 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 183.47/183.78 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__0__eq,axiom,
% 183.47/183.78 ! [V_na_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 183.47/183.78 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__0__eq__0,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_minus__nat_Odiff__0,axiom,
% 183.47/183.78 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__self__eq__0,axiom,
% 183.47/183.78 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diffs0__imp__equal,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => V_m = V_n ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( 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)
% 183.47/183.78 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 | V_m_2 = V_na_2 ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__0,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__0__right,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__is__0,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( 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)
% 183.47/183.78 <=> ( V_m_2 = V_na_2
% 183.47/183.78 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__cancel2,axiom,
% 183.47/183.78 ! [V_na_2,V_k_2,V_m_2] :
% 183.47/183.78 ( 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)
% 183.47/183.78 <=> ( V_m_2 = V_na_2
% 183.47/183.78 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__diff__1,axiom,
% 183.47/183.78 ! [V_n] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.78 => 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 ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__add__Suc1,axiom,
% 183.47/183.78 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__add__Suc2,axiom,
% 183.47/183.78 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__iff__Suc__add,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.78 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__eq__Suc__le,axiom,
% 183.47/183.78 ! [V_m_2,V_na_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__Suc__eq__le,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__le__eq,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__imp__less__Suc,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__leI,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__less__Suc__eq,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 183.47/183.78 <=> V_na_2 = V_m_2 ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__le__lessD,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__less__Suc,axiom,
% 183.47/183.78 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__mult__less__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__Suc,axiom,
% 183.47/183.78 ! [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)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__Suc__right,axiom,
% 183.47/183.78 ! [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)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__diff__le,axiom,
% 183.47/183.78 ! [V_m,V_n] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__mult__le__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__nonneg__nonneg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__nonneg__eq__0__iff,axiom,
% 183.47/183.78 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__increasing,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__increasing2,axiom,
% 183.47/183.78 ! [V_a,V_b,V_c,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__nonpos__nonpos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__le__square,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring(T_a)
% 183.47/183.78 => 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__le__mult__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__0__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__nonneg__nonneg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__nonneg__nonpos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__nonneg__nonpos2,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__nonpos__nonneg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__nonpos__nonpos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__ring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__right__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__left__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__mult__left__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__comm__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__right__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__ring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__left__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__ring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__mono_H,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__mono,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__semiring(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_split__mult__pos__le,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__ring(T_a)
% 183.47/183.78 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 183.47/183.78 => 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_split__mult__neg__le,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.47/183.78 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 183.47/183.78 => 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_pos__add__strict,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__pos__pos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__neg__neg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__left__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__right__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_comm__mult__strict__left__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__left__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__right__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__neg__neg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__neg__pos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel__left__neg,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__mult__pos2,axiom,
% 183.47/183.78 ! [V_a,V_b,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__mult__pos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__pos__neg2,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__pos__neg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__pos__pos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel__left__pos,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel__left__disj,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel__right__disj,axiom,
% 183.47/183.78 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__square__less__zero,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring(T_a)
% 183.47/183.78 => ~ 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_le__iff__diff__le__0,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 183.47/183.78 <=> 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_less__iff__diff__less__0,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.47/183.78 <=> 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__scale__eq__noteq,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 183.47/183.78 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 183.47/183.78 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => ( ( V_a = V_b
% 183.47/183.78 & V_c != V_d )
% 183.47/183.78 => 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)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__one__le__zero,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => ~ 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__le__one,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__one,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__one__less__zero,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__Suc__1,axiom,
% 183.47/183.78 ! [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 ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__empty,axiom,
% 183.47/183.78 ! [V_f_2,T_c,T_b] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum_Oempty,axiom,
% 183.47/183.78 ! [V_g_2,T_c,T_b] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum_Oinfinite,axiom,
% 183.47/183.78 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.78 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => 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) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__infinite,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.78 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => 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) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setprod__zero,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.78 ( class_Rings_Ocomm__semiring__1(T_c)
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( ? [B_x] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.78 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.47/183.78 => 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) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setprod__zero__iff,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.78 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 183.47/183.78 & class_Rings_Ono__zero__divisors(T_c) )
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( 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)
% 183.47/183.78 <=> ? [B_x] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.78 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__gr__0,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.47/183.78 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card_Oempty,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__infinite,axiom,
% 183.47/183.78 ! [V_A_2,T_b] :
% 183.47/183.78 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__less,axiom,
% 183.47/183.78 ! [V_m,V_n] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.47/183.78 => 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)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__diff,axiom,
% 183.47/183.78 ! [V_m_2,V_na_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__0__less__mult__iff,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__cancel2,axiom,
% 183.47/183.78 ! [V_na_2,V_k_2,V_m_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__mono1,axiom,
% 183.47/183.78 ! [V_k,V_j,V_i] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.47/183.78 => 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__mono2,axiom,
% 183.47/183.78 ! [V_k,V_j,V_i] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.47/183.78 => 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__mult__eq__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 => ( 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)
% 183.47/183.78 <=> V_m_2 = V_na_2 ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__mult__less__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__add__0,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__is__0__eq_H,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.47/183.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__is__0__eq,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2] :
% 183.47/183.78 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__eq__self__implies__10,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 183.47/183.78 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.47/183.78 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__eq__0__iff,axiom,
% 183.47/183.78 ! [V_f_2,V_F_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.47/183.78 => ( 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)
% 183.47/183.78 <=> ! [B_x] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 183.47/183.78 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__Suc__diff__eq2,axiom,
% 183.47/183.78 ! [V_m,V_j,V_k] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__Suc__diff__eq1,axiom,
% 183.47/183.78 ! [V_m,V_j,V_k] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__pos__nonneg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__nonneg__pos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__strict__increasing,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__strict__increasing2,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__neg__nonpos,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__nonpos__neg,axiom,
% 183.47/183.78 ! [V_b,V_a,T_a] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__cancel__left__pos,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__cancel__left__neg,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__mono,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__strict__mono_H,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__le__imp__less,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__less__imp__less,axiom,
% 183.47/183.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__right__less__imp__less,axiom,
% 183.47/183.78 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__imp__less__right,axiom,
% 183.47/183.78 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__left__less__imp__less,axiom,
% 183.47/183.78 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__less__imp__less__left,axiom,
% 183.47/183.78 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__right__le__imp__le,axiom,
% 183.47/183.78 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__left__le__imp__le,axiom,
% 183.47/183.78 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__right__le__one__le,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 183.47/183.78 => 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)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__left__le__one__le,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 183.47/183.78 => 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)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__two,axiom,
% 183.47/183.78 ! [T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.78 => 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)))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__eq__0__iff,axiom,
% 183.47/183.78 ! [V_A_2,T_b] :
% 183.47/183.78 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.78 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__ge__0__finite,axiom,
% 183.47/183.78 ! [V_A_2,T_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__diff__split,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_Pa_2] :
% 183.47/183.78 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 183.47/183.78 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.47/183.78 & ! [B_d] :
% 183.47/183.78 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 183.47/183.78 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__diff__split__asm,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_Pa_2] :
% 183.47/183.78 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 183.47/183.78 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 183.47/183.78 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.47/183.78 | ? [B_d] :
% 183.47/183.78 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 183.47/183.78 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__le__cancel2,axiom,
% 183.47/183.78 ! [V_na_2,V_k_2,V_m_2] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nat__mult__le__cancel1,axiom,
% 183.47/183.78 ! [V_na_2,V_m_2,V_k_2] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__eq__1__iff,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( 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)
% 183.47/183.78 <=> ? [B_x] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.78 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.47/183.78 & ! [B_xa] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.47/183.78 => ( B_x != B_xa
% 183.47/183.78 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setprod__pos__nat__iff,axiom,
% 183.47/183.78 ! [V_f_2,V_S_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ! [B_x] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__insert__disjoint,axiom,
% 183.47/183.78 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.78 => 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)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__insert__if,axiom,
% 183.47/183.78 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.78 => 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) )
% 183.47/183.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.78 => 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)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_convex__bound__le,axiom,
% 183.47/183.78 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__semiring__1(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 183.47/183.78 => 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)) ) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__gt__0__iff,axiom,
% 183.47/183.78 ! [V_A_2,T_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__insert,axiom,
% 183.47/183.78 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => 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)))))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__eq__if,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.47/183.78 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => 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)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__eq__if,axiom,
% 183.47/183.78 ! [V_n,V_m] :
% 183.47/183.78 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 183.47/183.78 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => 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)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__pred_H,axiom,
% 183.47/183.78 ! [V_n] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.78 => 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_sum__squares__gt__zero__iff,axiom,
% 183.47/183.78 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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))))
% 183.47/183.78 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_not__sum__squares__lt__zero,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring(T_a)
% 183.47/183.78 => ~ 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))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_sum__squares__ge__zero,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Rings_Olinordered__ring(T_a)
% 183.47/183.78 => 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)))) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_sum__squares__le__zero__iff,axiom,
% 183.47/183.78 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__eq__plus1,axiom,
% 183.47/183.78 ! [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)) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_Suc__eq__plus1__left,axiom,
% 183.47/183.78 ! [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) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_bot__nat__def,axiom,
% 183.47/183.78 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_sum__squares__eq__zero__iff,axiom,
% 183.47/183.78 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.47/183.78 => ( 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)
% 183.47/183.78 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_even__less__0__iff,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Rings_Olinordered__idom(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__mono2,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.47/183.78 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.78 => ( ! [B_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 183.47/183.78 => 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))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__Suc__eq,axiom,
% 183.47/183.78 ! [V_k_2,V_A_2,T_b] :
% 183.47/183.78 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 183.47/183.78 <=> ? [B_b,B_B] :
% 183.47/183.78 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 183.47/183.78 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 183.47/183.78 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 183.47/183.78 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.78 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__mono3,axiom,
% 183.47/183.78 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.47/183.78 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.78 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.78 => ( ! [B_x] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 183.47/183.78 => 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))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_double__eq__0__iff,axiom,
% 183.47/183.78 ! [V_a_2,T_b] :
% 183.47/183.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__Plus__conv__if,axiom,
% 183.47/183.78 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.47/183.78 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 183.47/183.78 => 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)) )
% 183.47/183.78 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 183.47/183.78 => 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) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setprod__diff1,axiom,
% 183.47/183.78 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.78 ( class_Fields_Ofield(T_c)
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 183.47/183.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.78 => 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)) )
% 183.47/183.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.78 => 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) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_ex__least__nat__less,axiom,
% 183.47/183.78 ! [V_na_2,V_Pa_2] :
% 183.47/183.78 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 183.47/183.78 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 183.47/183.78 => ? [B_k] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 183.47/183.78 & ! [B_i] :
% 183.47/183.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 183.47/183.78 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 183.47/183.78 & 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)))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_setsum__mono__zero__right,axiom,
% 183.47/183.78 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.47/183.78 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.47/183.78 => ( ! [B_x] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.47/183.78 => 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) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__zero,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__zero__left,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_add__divide__distrib,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_times__divide__eq__right,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => 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) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_diff__divide__distrib,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__1,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_eq__divide__imp,axiom,
% 183.47/183.78 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 183.47/183.78 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__eq__imp,axiom,
% 183.47/183.78 ! [V_a,V_b,V_c,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 183.47/183.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nonzero__divide__eq__eq,axiom,
% 183.47/183.78 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_b)
% 183.47/183.78 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 183.47/183.78 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_nonzero__eq__divide__eq,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_b)
% 183.47/183.78 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 183.47/183.78 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_finite__PlusD_I2_J,axiom,
% 183.47/183.78 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_finite__PlusD_I1_J,axiom,
% 183.47/183.78 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_finite__Plus,axiom,
% 183.47/183.78 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.47/183.78 => 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))) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_finite__Plus__iff,axiom,
% 183.47/183.78 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.47/183.78 ( 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)))
% 183.47/183.78 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_right__inverse__eq,axiom,
% 183.47/183.78 ! [V_a_2,V_b_2,T_b] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_b)
% 183.47/183.78 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.78 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 183.47/183.78 <=> V_a_2 = V_b_2 ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__self,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring(T_a)
% 183.47/183.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__self__if,axiom,
% 183.47/183.78 ! [V_a,T_a] :
% 183.47/183.78 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 183.47/183.78 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.47/183.78 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_card__Plus,axiom,
% 183.47/183.78 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.47/183.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.47/183.78 => 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)) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__left__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => 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))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__left__mono,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => 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))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_neg__divide__le__eq,axiom,
% 183.47/183.78 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => ( 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))
% 183.47/183.78 <=> 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)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_neg__le__divide__eq,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__imp__le__div__pos,axiom,
% 183.47/183.78 ! [V_x,V_z,V_y,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => ( 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))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_mult__imp__div__pos__le,axiom,
% 183.47/183.78 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 => 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)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_pos__divide__le__eq,axiom,
% 183.47/183.78 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => ( 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))
% 183.47/183.78 <=> 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_pos__le__divide__eq,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> 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)) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__le__eq,axiom,
% 183.47/183.78 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.78 => ( 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))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => 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))) )
% 183.47/183.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => 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)) )
% 183.47/183.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_times__divide__times__eq,axiom,
% 183.47/183.78 ! [V_w,V_z,V_y,V_x,T_a] :
% 183.47/183.78 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.78 => 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)) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__le__divide__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__le__0__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__right__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__right__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_zero__less__divide__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__less__0__iff,axiom,
% 183.47/183.78 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.78 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.78 => ( 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)))
% 183.47/183.78 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.47/183.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__pos__pos,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__pos__neg,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__neg__pos,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__neg__neg,axiom,
% 183.47/183.78 ! [V_y,V_x,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__strict__right__mono,axiom,
% 183.47/183.78 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.78 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.78 => 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))) ) ) ) ).
% 183.47/183.78
% 183.47/183.78 fof(fact_divide__strict__right__mono__neg,axiom,
% 183.47/183.78 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_frac__eq__eq,axiom,
% 183.47/183.79 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 183.47/183.79 ( class_Fields_Ofield(T_b)
% 183.47/183.79 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => ( 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)
% 183.47/183.79 <=> 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) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__divide__mult__cancel__left,axiom,
% 183.47/183.79 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.79 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__divide__mult__cancel__right,axiom,
% 183.47/183.79 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.79 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__eq__eq,axiom,
% 183.47/183.79 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 183.47/183.79 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 183.47/183.79 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_eq__divide__eq,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 183.47/183.79 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 183.47/183.79 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__nonpos__neg,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__nonpos__pos,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_frac__le,axiom,
% 183.47/183.79 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 183.47/183.79 => 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))) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_frac__less,axiom,
% 183.47/183.79 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 183.47/183.79 => 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))) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_frac__less2,axiom,
% 183.47/183.79 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 183.47/183.79 => 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))) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__nonneg__neg,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__nonneg__pos,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__divide__eq,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__less__eq,axiom,
% 183.47/183.79 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pos__less__divide__eq,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pos__divide__less__eq,axiom,
% 183.47/183.79 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__imp__div__pos__less,axiom,
% 183.47/183.79 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__imp__less__div__pos,axiom,
% 183.47/183.79 ! [V_x,V_z,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.47/183.79 => ( 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))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_neg__less__divide__eq,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_neg__divide__less__eq,axiom,
% 183.47/183.79 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__strict__left__mono,axiom,
% 183.47/183.79 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.47/183.79 => 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))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__strict__left__mono__neg,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.47/183.79 => 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))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__num__frac,axiom,
% 183.47/183.79 ! [V_x,V_z,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.79 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__divide__eq__iff,axiom,
% 183.47/183.79 ! [V_y,V_x,V_z,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__frac__num,axiom,
% 183.47/183.79 ! [V_z,V_x,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.79 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__add__eq__iff,axiom,
% 183.47/183.79 ! [V_y,V_x,V_z,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__frac__eq,axiom,
% 183.47/183.79 ! [V_w,V_x,V_z,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_diff__frac__eq,axiom,
% 183.47/183.79 ! [V_w,V_x,V_z,V_y,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__diff__eq__iff,axiom,
% 183.47/183.79 ! [V_y,V_x,V_z,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_diff__divide__eq__iff,axiom,
% 183.47/183.79 ! [V_y,V_x,V_z,T_a] :
% 183.47/183.79 ( class_Fields_Ofield(T_a)
% 183.47/183.79 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_gt__half__sum,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__half__sum,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.47/183.79 => 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))))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__divide__eq,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Plus__eq__empty__conv,axiom,
% 183.47/183.79 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.47/183.79 ( 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))
% 183.47/183.79 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__odd__less__0,axiom,
% 183.47/183.79 ! [V_a_2,T_b] :
% 183.47/183.79 ( class_Rings_Olinordered__idom(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_setsum__mono__zero__left,axiom,
% 183.47/183.79 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.47/183.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.47/183.79 => ( ! [B_x] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.47/183.79 => 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) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_field__le__mult__one__interval,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.47/183.79 => ( ! [B_z] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 183.47/183.79 => 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)) ) )
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__odd__nonzero,axiom,
% 183.47/183.79 ! [V_a_2,T_b] :
% 183.47/183.79 ( class_Int_Oring__char__0(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_setprod__pos__nat,axiom,
% 183.47/183.79 ! [V_f_2,V_S_2,T_b] :
% 183.47/183.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.47/183.79 => ( ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_setsum__SucD,axiom,
% 183.47/183.79 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 183.47/183.79 ( 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)
% 183.47/183.79 => ? [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_card_Oneutral,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.47/183.79 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__0,axiom,
% 183.47/183.79 ! [T_b] :
% 183.47/183.79 ( class_Rings_Oring__1(T_b)
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__add,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Rings_Oring__1(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__mult,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Rings_Oring__1(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__diff,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( class_Rings_Oring__1(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__1,axiom,
% 183.47/183.79 ! [T_b] :
% 183.47/183.79 ( class_Rings_Oring__1(T_b)
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__double__eq__0__iff,axiom,
% 183.47/183.79 ! [V_a_2,T_b] :
% 183.47/183.79 ( class_Int_Oring__char__0(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.47/183.79 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_expand__Suc,axiom,
% 183.47/183.79 ! [V_v] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_setprod__pos,axiom,
% 183.47/183.79 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.79 ( class_Rings_Olinordered__semidom(T_c)
% 183.47/183.79 => ( ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_setprod__nonneg,axiom,
% 183.47/183.79 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.79 ( class_Rings_Olinordered__semidom(T_c)
% 183.47/183.79 => ( ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_fold1__antimono,axiom,
% 183.47/183.79 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.47/183.79 => 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))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_field__le__epsilon,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Fields_Olinordered__field(T_a)
% 183.47/183.79 => ( ! [B_e] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 183.47/183.79 => 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))) )
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pair__box_Osize_I1_J,axiom,
% 183.47/183.79 ! [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))) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__le__eq__number__of1,axiom,
% 183.47/183.79 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( ( 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)))
% 183.47/183.79 => 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)))) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__le__eq__number__of,axiom,
% 183.47/183.79 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_number__of__reorient,axiom,
% 183.47/183.79 ! [V_x_2,V_w_2,T_b] :
% 183.47/183.79 ( class_Int_Onumber(T_b)
% 183.47/183.79 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 183.47/183.79 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_eq__number__of,axiom,
% 183.47/183.79 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.79 & class_Int_Oring__char__0(T_b) )
% 183.47/183.79 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.47/183.79 <=> V_x_2 = V_y_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__number__of,axiom,
% 183.47/183.79 ! [V_v,V_u,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Orderings_Oord(T_b) )
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oidem,axiom,
% 183.47/183.79 ! [V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf_Oidem,axiom,
% 183.47/183.79 ! [V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf_Ocommute,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__commute,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__left__idem,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 183.47/183.79 ! [V_c,V_a,V_b,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__left__commute,axiom,
% 183.47/183.79 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf_Oassoc,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__assoc,axiom,
% 183.47/183.79 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pair__box_Oinject,axiom,
% 183.47/183.79 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 183.47/183.79 ( 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)
% 183.47/183.79 <=> ( V_a_2 = V_a_H_2
% 183.47/183.79 & V_b_2 = V_b_H_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__infE,axiom,
% 183.47/183.79 ! [V_b,V_a,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.47/183.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__mono,axiom,
% 183.47/183.79 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__greatest,axiom,
% 183.47/183.79 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__infI,axiom,
% 183.47/183.79 ! [V_b,V_a,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__absorb2,axiom,
% 183.47/183.79 ! [V_x,V_y,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.47/183.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__absorb1,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.47/183.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__infI2,axiom,
% 183.47/183.79 ! [V_a,V_x,V_b,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__infI1,axiom,
% 183.47/183.79 ! [V_b,V_x,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__inf__iff,axiom,
% 183.47/183.79 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ole__iff__inf,axiom,
% 183.47/183.79 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.47/183.79 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__le2,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__le1,axiom,
% 183.47/183.79 ! [V_y,V_x,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__le__iff__disj,axiom,
% 183.47/183.79 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.47/183.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oless__infI2,axiom,
% 183.47/183.79 ! [V_a,V_x,V_b,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oless__infI1,axiom,
% 183.47/183.79 ! [V_b,V_x,V_a,T_a] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_a)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__less__iff__conj,axiom,
% 183.47/183.79 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__less__iff__disj,axiom,
% 183.47/183.79 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 183.47/183.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__number__of,axiom,
% 183.47/183.79 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.79 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__number__of,axiom,
% 183.47/183.79 ! [V_y_2,V_x_2,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.79 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__add__distrib__left,axiom,
% 183.47/183.79 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__diff__distrib__left,axiom,
% 183.47/183.79 ! [V_z,V_y,V_x,T_a] :
% 183.47/183.79 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_number__of__add,axiom,
% 183.47/183.79 ! [V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__number__of__eq,axiom,
% 183.47/183.79 ! [V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__number__of__left,axiom,
% 183.47/183.79 ! [V_z,V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_number__of__mult,axiom,
% 183.47/183.79 ! [V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_arith__simps_I32_J,axiom,
% 183.47/183.79 ! [V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__number__of__left,axiom,
% 183.47/183.79 ! [V_z,V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_number__of__diff,axiom,
% 183.47/183.79 ! [V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__0R,axiom,
% 183.47/183.79 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__0L,axiom,
% 183.47/183.79 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__Suc__Suc,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__diff,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 183.47/183.79 ! [T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__number__of__eq__not__less,axiom,
% 183.47/183.79 ! [V_w_2,V_v_2,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Orderings_Olinorder(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ~ 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_right__distrib__number__of,axiom,
% 183.47/183.79 ! [V_c,V_b,V_v,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Rings_Osemiring(T_b) )
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_left__distrib__number__of,axiom,
% 183.47/183.79 ! [V_v,V_b,V_a,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Rings_Osemiring(T_b) )
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__number__of__diff1,axiom,
% 183.47/183.79 ! [V_c,V_w,V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_left__diff__distrib__number__of,axiom,
% 183.47/183.79 ! [V_v,V_b,V_a,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Rings_Oring(T_b) )
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_right__diff__distrib__number__of,axiom,
% 183.47/183.79 ! [V_c,V_b,V_v,T_b] :
% 183.47/183.79 ( ( class_Int_Onumber(T_b)
% 183.47/183.79 & class_Rings_Oring(T_b) )
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Ints__number__of,axiom,
% 183.47/183.79 ! [V_w_2,T_b] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_b)
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_eq__divide__eq__number__of1,axiom,
% 183.47/183.79 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => 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 )
% 183.47/183.79 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_eq__divide__eq__number__of,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)
% 183.47/183.79 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => 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 )
% 183.47/183.79 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__eq__eq__number__of,axiom,
% 183.47/183.79 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)
% 183.47/183.79 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => 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) )
% 183.47/183.79 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__eq__eq__number__of1,axiom,
% 183.47/183.79 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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
% 183.47/183.79 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.79 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ofold__inf__insert,axiom,
% 183.47/183.79 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__less__eq__number__of1,axiom,
% 183.47/183.79 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ( ( 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)))
% 183.47/183.79 => 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)))) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divide__less__eq__number__of,axiom,
% 183.47/183.79 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__divide__eq__number__of,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__divide__eq__number__of1,axiom,
% 183.47/183.79 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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))))
% 183.47/183.79 <=> ( ( 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)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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)))) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 183.47/183.79 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Ofold1__belowI,axiom,
% 183.47/183.79 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_fold1__below__iff,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ? [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_strict__below__fold1__iff,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_fold1__strict__below__iff,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( 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))
% 183.47/183.79 <=> ? [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__divide__eq__number__of1,axiom,
% 183.47/183.79 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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))))
% 183.47/183.79 <=> ( ( 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)))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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)))) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__divide__eq__number__of,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 183.47/183.79 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.47/183.79 & class_Int_Onumber(T_b) )
% 183.47/183.79 => ( 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)))
% 183.47/183.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => 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)) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 183.47/183.79 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.47/183.79 => 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))) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pair__box_Osize_I2_J,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pair__box_Orecs,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pair__box_Osimps_I2_J,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__ord__min,axiom,
% 183.47/183.79 ! [T_b] :
% 183.47/183.79 ( class_Orderings_Oord(T_b)
% 183.47/183.79 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oremove,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => ( ( hAPP(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))
% 183.47/183.79 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 183.47/183.79 & ( hAPP(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))
% 183.47/183.79 => 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)))))) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => ( ( hAPP(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))
% 183.47/183.79 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 183.47/183.79 & ( hAPP(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))
% 183.47/183.79 => 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)))))) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oeq__fold_H,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oinsert__remove,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ( hAPP(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))
% 183.47/183.79 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.47/183.79 & ( hAPP(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))
% 183.47/183.79 => 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)))))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_times__numeral__code_I5_J,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_plus__numeral__code_I9_J,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__number__of__int__code,axiom,
% 183.47/183.79 ! [V_l_2,V_k_2] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__eq__number__of__int__code,axiom,
% 183.47/183.79 ! [V_l_2,V_k_2] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zless__le,axiom,
% 183.47/183.79 ! [V_w_2,V_z_2] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 183.47/183.79 & V_z_2 != V_w_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__refl,axiom,
% 183.47/183.79 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__linear,axiom,
% 183.47/183.79 ! [V_w,V_z] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 183.47/183.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__trans,axiom,
% 183.47/183.79 ! [V_k,V_j,V_i] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__antisym,axiom,
% 183.47/183.79 ! [V_w,V_z] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 183.47/183.79 => V_z = V_w ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zless__linear,axiom,
% 183.47/183.79 ! [V_y,V_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 183.47/183.79 | V_x = V_y
% 183.47/183.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiff__zmult__distrib2,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiff__zmult__distrib,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__strict__right__mono,axiom,
% 183.47/183.79 ! [V_k,V_j,V_i] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__zmult__distrib2,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__zmult__distrib,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__assoc,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__left__commute,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__commute,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmult__assoc,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmult__commute,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmult__1,axiom,
% 183.47/183.79 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmult__1__right,axiom,
% 183.47/183.79 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__left__mono,axiom,
% 183.47/183.79 ! [V_k,V_j,V_i] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zless__add1__eq,axiom,
% 183.47/183.79 ! [V_z_2,V_w_2] :
% 183.47/183.79 ( 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))))
% 183.47/183.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 183.47/183.79 | V_w_2 = V_z_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__add1__eq__le,axiom,
% 183.47/183.79 ! [V_z_2,V_w_2] :
% 183.47/183.79 ( 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))))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zle__diff1__eq,axiom,
% 183.47/183.79 ! [V_z_2,V_w_2] :
% 183.47/183.79 ( 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))))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add1__zle__eq,axiom,
% 183.47/183.79 ! [V_z_2,V_w_2] :
% 183.47/183.79 ( 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))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zless__imp__add1__zle,axiom,
% 183.47/183.79 ! [V_z,V_w] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__zless__mono,axiom,
% 183.47/183.79 ! [V_z,V_z_H,V_w,V_w_H] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_less__bin__lemma,axiom,
% 183.47/183.79 ! [V_l_2,V_k_2] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 183.47/183.79 <=> 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmult__zless__mono2,axiom,
% 183.47/183.79 ! [V_k,V_j,V_i] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__0__right,axiom,
% 183.47/183.79 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zadd__0,axiom,
% 183.47/183.79 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 183.47/183.79
% 183.47/183.79 fof(fact_odd__nonzero,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_int__0__less__1,axiom,
% 183.47/183.79 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))) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_odd__less__0,axiom,
% 183.47/183.79 ! [V_z_2] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_pos__zmult__eq__1__iff,axiom,
% 183.47/183.79 ! [V_na_2,V_m_2] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 183.47/183.79 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.79 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.79 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_int__one__le__iff__zero__less,axiom,
% 183.47/183.79 ! [V_z_2] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 183.47/183.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_le__imp__0__less,axiom,
% 183.47/183.79 ! [V_z] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.47/183.79 => 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))) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Osingleton,axiom,
% 183.47/183.79 ! [V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => 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 ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min__le,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 183.47/183.79 ! [V_x_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => 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 ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min__in,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oin__idem,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_OF__eq,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 183.47/183.79 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min__antimono,axiom,
% 183.47/183.79 ! [V_N_2,V_M_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 183.47/183.79 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.47/183.79 => 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))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 183.47/183.79 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min__insert,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Osubset__idem,axiom,
% 183.47/183.79 ! [V_B_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 183.47/183.79 ! [V_a_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ( hAPP(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))
% 183.47/183.79 => 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 )
% 183.47/183.79 & ( hAPP(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))
% 183.47/183.79 => 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)))))) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oinsert,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 183.47/183.79 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 183.47/183.79 ( 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)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_unique__quotient__lemma__neg,axiom,
% 183.47/183.79 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiv__mono2__lemma,axiom,
% 183.47/183.79 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 183.47/183.79 ( 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)
% 183.47/183.79 => ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_unique__quotient__lemma,axiom,
% 183.47/183.79 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_q__neg__lemma,axiom,
% 183.47/183.79 ! [V_r_H,V_q_H,V_b_H] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_q__pos__lemma,axiom,
% 183.47/183.79 ! [V_r_H,V_q_H,V_b_H] :
% 183.47/183.79 ( 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)))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_self__quotient__aux1,axiom,
% 183.47/183.79 ! [V_q,V_r,V_a] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.47/183.79 => ( 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))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_self__quotient__aux2,axiom,
% 183.47/183.79 ! [V_q,V_r,V_a] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.47/183.79 => ( 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))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_int__0__neq__1,axiom,
% 183.47/183.79 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_number__of__is__id,axiom,
% 183.47/183.79 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 183.47/183.79 ! [V_y,V_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 183.47/183.79 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))) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 183.47/183.79 ! [V_y,V_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.47/183.79 => 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))) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( ! [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))))))
% 183.47/183.79 => 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)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Oclosed,axiom,
% 183.47/183.79 ! [V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => ( ! [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))))))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 183.47/183.79 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))) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 183.47/183.79 ! [V_N_2,V_h_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( ! [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))
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.47/183.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min_Ohom__commute,axiom,
% 183.47/183.79 ! [V_N_2,V_h_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( ! [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))
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.47/183.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.47/183.79 => 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)) ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_tsub__def,axiom,
% 183.47/183.79 ! [V_x,V_y] :
% 183.47/183.79 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.47/183.79 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.47/183.79 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_of__nat__number__of__lemma,axiom,
% 183.47/183.79 ! [V_v,T_a] :
% 183.47/183.79 ( class_Int_Onumber__ring(T_a)
% 183.47/183.79 => ( ( 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)))
% 183.47/183.79 => 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) )
% 183.47/183.79 & ( ~ 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)))
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_nat__number__of__mult__left,axiom,
% 183.47/183.79 ! [V_k,V_v_H,V_v] :
% 183.47/183.79 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.79 => 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) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.79 => 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) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__nat__number__of,axiom,
% 183.47/183.79 ! [V_v_H,V_v] :
% 183.47/183.79 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.79 => 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) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.79 => 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)) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 183.47/183.79 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ! [B_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 183.47/183.79 => 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))) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Min__eqI,axiom,
% 183.47/183.79 ! [V_x_2,V_A_2,T_b] :
% 183.47/183.79 ( class_Orderings_Olinorder(T_b)
% 183.47/183.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.47/183.79 => ( ! [B_y] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 183.47/183.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.47/183.79 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_tsub__eq,axiom,
% 183.47/183.79 ! [V_x,V_y] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.47/183.79 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_divmod__int__rel__mod__eq,axiom,
% 183.47/183.79 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 183.47/183.79 ( 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)
% 183.47/183.79 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 183.47/183.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.47/183.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 183.47/183.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.47/183.79 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.47/183.79 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_of__nat__eq__iff,axiom,
% 183.47/183.79 ! [V_na_2,V_m_2,T_b] :
% 183.47/183.79 ( class_Nat_Osemiring__char__0(T_b)
% 183.47/183.79 => ( 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)
% 183.47/183.79 <=> V_m_2 = V_na_2 ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mod__trivial,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 183.47/183.79 ! [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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__self,axiom,
% 183.47/183.79 ! [V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__by__0,axiom,
% 183.47/183.79 ! [V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__0,axiom,
% 183.47/183.79 ! [V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__cong,axiom,
% 183.47/183.79 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__simps_I1_J,axiom,
% 183.47/183.79 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__simps_I2_J,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__left__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__right__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__self1,axiom,
% 183.47/183.79 ! [V_a,V_b,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__add__self2,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__cong,axiom,
% 183.47/183.79 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__simps_I4_J,axiom,
% 183.47/183.79 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__mult2,axiom,
% 183.47/183.79 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__mult1,axiom,
% 183.47/183.79 ! [V_b,V_a,V_c,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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)) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__left__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__right__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__diff__cong,axiom,
% 183.47/183.79 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Oring__div(T_a)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.47/183.79 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.47/183.79 => 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) ) ) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__diff__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Oring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__diff__left__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Oring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__diff__right__eq,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Oring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__self,axiom,
% 183.47/183.79 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__zero,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__zmult1__eq,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zmod__simps_I3_J,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiff__zmod__left,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_zdiff__zmod__right,axiom,
% 183.47/183.79 ! [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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Pls__def,axiom,
% 183.47/183.79 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_rel__simps_I19_J,axiom,
% 183.47/183.79 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_rel__simps_I2_J,axiom,
% 183.47/183.79 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__Pls,axiom,
% 183.47/183.79 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 183.47/183.79
% 183.47/183.79 fof(fact_add__Pls__right,axiom,
% 183.47/183.79 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mult__Pls,axiom,
% 183.47/183.79 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 183.47/183.79
% 183.47/183.79 fof(fact_diff__bin__simps_I1_J,axiom,
% 183.47/183.79 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__self1__is__0,axiom,
% 183.47/183.79 ! [V_a,V_b,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__self2__is__0,axiom,
% 183.47/183.79 ! [V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__self2,axiom,
% 183.47/183.79 ! [V_c,V_b,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__mult__self1,axiom,
% 183.47/183.79 ! [V_b,V_c,V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => 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) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_mod__by__1,axiom,
% 183.47/183.79 ! [V_a,T_a] :
% 183.47/183.79 ( class_Divides_Osemiring__div(T_a)
% 183.47/183.79 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_int__eq__0__conv,axiom,
% 183.47/183.79 ! [V_na_2] :
% 183.47/183.79 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.47/183.79 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_int__0,axiom,
% 183.47/183.79 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) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 183.47/183.79 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)) ).
% 183.47/183.79
% 183.47/183.79 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 183.47/183.79 ! [V_y,V_x] :
% 183.47/183.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.47/183.80 => 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmod__le__nonneg__dividend,axiom,
% 183.47/183.80 ! [V_k,V_m] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__mod__bound,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pos__mod__bound,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zero__zle__int,axiom,
% 183.47/183.80 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 183.47/183.80 ! [V_Pa_2] :
% 183.47/183.80 ( ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.47/183.80 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 183.47/183.80 ! [V_Pa_2] :
% 183.47/183.80 ( ? [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.47/183.80 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.47/183.80 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 183.47/183.80 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__less__0__conv,axiom,
% 183.47/183.80 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zless__int,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 183.47/183.80 ! [V_y_2,V_x_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmod__eq__0__iff,axiom,
% 183.47/183.80 ! [V_d_2,V_m_2] :
% 183.47/183.80 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.47/183.80 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zle__int,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 183.47/183.80 ! [V_y_2,V_x_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zadd__int__left,axiom,
% 183.47/183.80 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zadd__int,axiom,
% 183.47/183.80 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 183.47/183.80 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zle__iff__zadd,axiom,
% 183.47/183.80 ! [V_z_2,V_w_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 183.47/183.80 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zero__le__imp__of__nat,axiom,
% 183.47/183.80 ! [V_m,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__0__le__iff,axiom,
% 183.47/183.80 ! [V_n,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__less__0__iff,axiom,
% 183.47/183.80 ! [V_m,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.80 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_number__of__Pls,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_semiring__norm_I112_J,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult__int,axiom,
% 183.47/183.80 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__mult,axiom,
% 183.47/183.80 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 183.47/183.80 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_add__numeral__0__right,axiom,
% 183.47/183.80 ! [V_a,T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => 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 ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_add__numeral__0,axiom,
% 183.47/183.80 ! [V_a,T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => 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 ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__0,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_a)
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__less__imp__less,axiom,
% 183.47/183.80 ! [V_n,V_m,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_less__imp__of__nat__less,axiom,
% 183.47/183.80 ! [V_n,V_m,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_a)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__less__iff,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2,T_b] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_b)
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__1,axiom,
% 183.47/183.80 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 183.47/183.80 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__le__iff,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2,T_b] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_b)
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__add,axiom,
% 183.47/183.80 ! [V_n,V_m,T_a] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_a)
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_bin__less__0__simps_I1_J,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__number__of__Pls,axiom,
% 183.47/183.80 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_semiring__norm_I113_J,axiom,
% 183.47/183.80 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__mult,axiom,
% 183.47/183.80 ! [V_n,V_m,T_a] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_a)
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zero__is__num__zero,axiom,
% 183.47/183.80 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__1,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_a)
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Ints__of__nat,axiom,
% 183.47/183.80 ! [V_na_2,T_b] :
% 183.47/183.80 ( class_Rings_Oring__1(T_b)
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__le__0__conv,axiom,
% 183.47/183.80 ! [V_na_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__neg__neg__trivial,axiom,
% 183.47/183.80 ! [V_b,V_a] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 183.47/183.80 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__mod__conj,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => ( 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)))
% 183.47/183.80 & 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__mod__sign,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__pos__pos__trivial,axiom,
% 183.47/183.80 ! [V_b,V_a] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.47/183.80 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pos__mod__conj,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.47/183.80 => ( 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)))
% 183.47/183.80 & 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pos__mod__sign,axiom,
% 183.47/183.80 ! [V_a,V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__Suc0__eq__1,axiom,
% 183.47/183.80 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zless__iff__Suc__zadd,axiom,
% 183.47/183.80 ! [V_z_2,V_w_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 183.47/183.80 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__Suc,axiom,
% 183.47/183.80 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zdiff__int,axiom,
% 183.47/183.80 ! [V_m,V_n] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__Suc,axiom,
% 183.47/183.80 ! [V_m,T_a] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_a)
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_divide__Numeral0,axiom,
% 183.47/183.80 ! [V_x,T_a] :
% 183.47/183.80 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.47/183.80 & class_Int_Onumber__ring(T_a) )
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_eq__0__number__of,axiom,
% 183.47/183.80 ! [V_v_2] :
% 183.47/183.80 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_eq__number__of__0,axiom,
% 183.47/183.80 ! [V_v_2] :
% 183.47/183.80 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_less__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H_2,V_v_2] :
% 183.47/183.80 ( 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)))
% 183.47/183.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 183.47/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__diff,axiom,
% 183.47/183.80 ! [V_m,V_n,T_a] :
% 183.47/183.80 ( class_Rings_Oring__1(T_a)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_le__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H_2,V_v_2] :
% 183.47/183.80 ( 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)))
% 183.47/183.80 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zero__less__int__conv,axiom,
% 183.47/183.80 ! [V_na_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__pos__neg__trivial,axiom,
% 183.47/183.80 ! [V_b,V_a] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.47/183.80 => ( 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)))
% 183.47/183.80 => 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) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult__zless__mono2__lemma,axiom,
% 183.47/183.80 ! [V_k,V_j,V_i] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_le__special_I1_J,axiom,
% 183.47/183.80 ! [V_y_2,T_b] :
% 183.47/183.80 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.80 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_le__special_I3_J,axiom,
% 183.47/183.80 ! [V_x_2,T_b] :
% 183.47/183.80 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.80 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_less__special_I1_J,axiom,
% 183.47/183.80 ! [V_y_2,T_b] :
% 183.47/183.80 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.80 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_less__special_I3_J,axiom,
% 183.47/183.80 ! [V_x_2,T_b] :
% 183.47/183.80 ( ( class_Int_Onumber__ring(T_b)
% 183.47/183.80 & class_Rings_Olinordered__idom(T_b) )
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__0__less__iff,axiom,
% 183.47/183.80 ! [V_na_2,T_b] :
% 183.47/183.80 ( class_Rings_Olinordered__semidom(T_b)
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_less__0__number__of,axiom,
% 183.47/183.80 ! [V_v_2] :
% 183.47/183.80 ( 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)))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_add__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H,V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 183.47/183.80 => 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)) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 183.47/183.80 ! [V_y,V_x] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_split__zmod,axiom,
% 183.47/183.80 ! [V_k_2,V_na_2,V_Pa_2] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 183.47/183.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 183.47/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.47/183.80 => ! [B_i,B_j] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.47/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.47/183.80 & 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) )
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 183.47/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => ! [B_i,B_j] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.47/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 & 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) )
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult2__lemma__aux3,axiom,
% 183.47/183.80 ! [V_q,V_b,V_r,V_c] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult2__lemma__aux4,axiom,
% 183.47/183.80 ! [V_q,V_b,V_r,V_c] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),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))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult2__lemma__aux1,axiom,
% 183.47/183.80 ! [V_q,V_r,V_b,V_c] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => 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))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult2__lemma__aux2,axiom,
% 183.47/183.80 ! [V_q,V_r,V_b,V_c] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zdiff__int__split,axiom,
% 183.47/183.80 ! [V_y_2,V_x_2,V_Pa_2] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 183.47/183.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 183.47/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_number__of2,axiom,
% 183.47/183.80 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))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__1__add__number__of,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__number__of__add__1,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__number__of__diff__1,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 183.47/183.80 => 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_setsum__bounded,axiom,
% 183.47/183.80 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 183.47/183.80 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 183.47/183.80 & class_Rings_Osemiring__1(T_c) )
% 183.47/183.80 => ( ! [B_i] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 183.47/183.80 => 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nats__number__of,axiom,
% 183.47/183.80 ! [V_w_2,T_b] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_b)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 183.47/183.80 => 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Suc__diff__number__of,axiom,
% 183.47/183.80 ! [V_m,V_v] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 183.47/183.80 ! [V_A_2] :
% 183.47/183.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 183.47/183.80 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 183.47/183.80 ! [V_y_2,V_x_2] :
% 183.47/183.80 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 183.47/183.80 <=> V_x_2 = V_y_2 ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 183.47/183.80 ! [V_B_2,V_A_2] :
% 183.47/183.80 ( V_A_2 = V_B_2
% 183.47/183.80 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 183.47/183.80 ! [V_A_2,V_x_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 183.47/183.80 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 183.47/183.80 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 183.47/183.80 ! [V_B_2,V_A_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 183.47/183.80 ! [V_B_2,V_A_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__int__eq,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2] :
% 183.47/183.80 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)
% 183.47/183.80 <=> V_m_2 = V_na_2 ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_succ__pred,axiom,
% 183.47/183.80 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 183.47/183.80 ! [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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__less,axiom,
% 183.47/183.80 ! [V_n,V_m] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.80 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__less__eq__dividend,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__mult__distrib,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__mult__distrib2,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmod__int,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__1,axiom,
% 183.47/183.80 ! [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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__Suc,axiom,
% 183.47/183.80 ! [V_n,V_m] :
% 183.47/183.80 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 183.47/183.80 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.47/183.80 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 183.47/183.80 => 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__less__divisor,axiom,
% 183.47/183.80 ! [V_m,V_n] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__eq__0__iff,axiom,
% 183.47/183.80 ! [V_d_2,V_m_2] :
% 183.47/183.80 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.80 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__geq,axiom,
% 183.47/183.80 ! [V_n,V_m] :
% 183.47/183.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__if,axiom,
% 183.47/183.80 ! [V_n,V_m] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.80 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 183.47/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.47/183.80 => 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) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__mult__self3,axiom,
% 183.47/183.80 ! [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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_le__mod__geq,axiom,
% 183.47/183.80 ! [V_m,V_n] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_le__iff__pred__less,axiom,
% 183.47/183.80 ! [V_l_2,V_k_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pred__def,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__le__divisor,axiom,
% 183.47/183.80 ! [V_m,V_n] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__mult__self4,axiom,
% 183.47/183.80 ! [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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_succ__def,axiom,
% 183.47/183.80 ! [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)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nats__0,axiom,
% 183.47/183.80 ! [T_b] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_b)
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nats__add,axiom,
% 183.47/183.80 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_b)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.47/183.80 => 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))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nats__mult,axiom,
% 183.47/183.80 ! [V_b_2,V_a_2,T_b] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_b)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.47/183.80 => 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))) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Nats__1,axiom,
% 183.47/183.80 ! [T_b] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_b)
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__in__Nats,axiom,
% 183.47/183.80 ! [V_na_2,T_b] :
% 183.47/183.80 ( class_Rings_Osemiring__1(T_b)
% 183.47/183.80 => 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))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__lemma,axiom,
% 183.47/183.80 ! [V_q,V_b,V_r,V_c] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 183.47/183.80 => 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_split__mod,axiom,
% 183.47/183.80 ! [V_k_2,V_na_2,V_Pa_2] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 183.47/183.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 183.47/183.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.47/183.80 => ! [B_i,B_j] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 183.47/183.80 => ( 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)
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Suc__times__mod__eq,axiom,
% 183.47/183.80 ! [V_m,V_k] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_number__of__succ,axiom,
% 183.47/183.80 ! [V_k,T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Suc__nat__number__of__add,axiom,
% 183.47/183.80 ! [V_n,V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_decr__mult__lemma,axiom,
% 183.47/183.80 ! [V_k_2,V_Pa_2,V_d_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.47/183.80 => ( ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.47/183.80 => ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.47/183.80 => 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)))) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_incr__mult__lemma,axiom,
% 183.47/183.80 ! [V_k_2,V_Pa_2,V_d_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.47/183.80 => ( ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.47/183.80 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.47/183.80 => ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.47/183.80 => 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)))) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_Suc__nat__number__of,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zero__less__imp__eq__int,axiom,
% 183.47/183.80 ! [V_k] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.47/183.80 => ? [B_n] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 183.47/183.80 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmod__minus1,axiom,
% 183.47/183.80 ! [V_b] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_of__nat__number__of__eq,axiom,
% 183.47/183.80 ! [V_v,T_a] :
% 183.47/183.80 ( class_Int_Onumber__ring(T_a)
% 183.47/183.80 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__number__of__Min,axiom,
% 183.47/183.80 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I24_J,axiom,
% 183.47/183.80 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I7_J,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I40_J,axiom,
% 183.47/183.80 c_Int_OMin != c_Int_OPls ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I37_J,axiom,
% 183.47/183.80 c_Int_OPls != c_Int_OMin ).
% 183.47/183.80
% 183.47/183.80 fof(fact_not__neg__0,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_not__neg__int,axiom,
% 183.47/183.80 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_not__neg__1,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_bin__less__0__simps_I2_J,axiom,
% 183.47/183.80 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I23_J,axiom,
% 183.47/183.80 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I20_J,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I6_J,axiom,
% 183.47/183.80 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_rel__simps_I3_J,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_eq__number__of__Pls__Min,axiom,
% 183.47/183.80 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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pred__Pls,axiom,
% 183.47/183.80 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 183.47/183.80
% 183.47/183.80 fof(fact_add__Min__right,axiom,
% 183.47/183.80 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_add__Min,axiom,
% 183.47/183.80 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_succ__Min,axiom,
% 183.47/183.80 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 183.47/183.80
% 183.47/183.80 fof(fact_diff__bin__simps_I2_J,axiom,
% 183.47/183.80 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_not__neg__eq__ge__0,axiom,
% 183.47/183.80 ! [V_x_2] :
% 183.47/183.80 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__def,axiom,
% 183.47/183.80 ! [V_Z_2] :
% 183.47/183.80 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 183.47/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_not__neg__number__of__Pls,axiom,
% 183.47/183.80 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmod__minus1__right,axiom,
% 183.47/183.80 ! [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) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zmult__eq__1__iff,axiom,
% 183.47/183.80 ! [V_na_2,V_m_2] :
% 183.47/183.80 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.80 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.80 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 183.47/183.80 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 183.47/183.80 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 183.47/183.80 ! [V_n,V_m] :
% 183.47/183.80 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.80 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.47/183.80 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__imp__number__of__eq__0,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_eq__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H_2,V_v_2] :
% 183.47/183.80 ( 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)
% 183.47/183.80 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 183.47/183.80 => 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))) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 183.47/183.80 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 183.47/183.80 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 183.47/183.80 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__number__of__add__left,axiom,
% 183.47/183.80 ! [V_k,V_v_H,V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_int__nat__number__of,axiom,
% 183.47/183.80 ! [V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_neg__number__of__pred__iff__0,axiom,
% 183.47/183.80 ! [V_v_2] :
% 183.47/183.80 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 183.47/183.80 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 183.47/183.80 ! [V_N_2] :
% 183.47/183.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 183.47/183.80 <=> ? [B_m] :
% 183.47/183.80 ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_finite__nat__set__iff__bounded,axiom,
% 183.47/183.80 ! [V_N_2] :
% 183.47/183.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 183.47/183.80 <=> ? [B_m] :
% 183.47/183.80 ! [B_x] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_one__mod__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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)) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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))) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_mod__nat__number__of,axiom,
% 183.47/183.80 ! [V_v_H,V_v] :
% 183.47/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.47/183.80 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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) )
% 183.47/183.80 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.47/183.80 => 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))) ) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_decr__lemma,axiom,
% 183.47/183.80 ! [V_z,V_x,V_d] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_incr__lemma,axiom,
% 183.47/183.80 ! [V_x,V_z,V_d] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 183.47/183.80 => 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)))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_split__pos__lemma,axiom,
% 183.47/183.80 ! [V_na_2,V_Pa_2,V_k_2] :
% 183.47/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.47/183.80 => ( 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)))
% 183.47/183.80 <=> ! [B_i,B_j] :
% 183.47/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.47/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.47/183.80 & 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) )
% 183.47/183.80 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__idempotent,axiom,
% 183.47/183.80 ! [V_a,T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_nat__abs__mult__distrib,axiom,
% 183.47/183.80 ! [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))) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__ge__self,axiom,
% 183.47/183.80 ! [V_a,T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__le__D1,axiom,
% 183.47/183.80 ! [V_b,V_a,T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 183.47/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__eq__0,axiom,
% 183.47/183.80 ! [V_a_2,T_b] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.47/183.80 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.47/183.80 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__zero,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__add__abs,axiom,
% 183.47/183.80 ! [V_b,V_a,T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__mult,axiom,
% 183.47/183.80 ! [V_b,V_a,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__mult__self,axiom,
% 183.47/183.80 ! [V_a,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__minus__commute,axiom,
% 183.47/183.80 ! [V_b,V_a,T_a] :
% 183.47/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.47/183.80 => 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)) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__one,axiom,
% 183.47/183.80 ! [T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.80 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_abs__of__nat,axiom,
% 183.47/183.80 ! [V_n,T_a] :
% 183.47/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.47/183.80 => 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) ) ).
% 183.47/183.80
% 183.47/183.80 fof(fact_zdiv__zero,axiom,
% 183.47/183.80 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.47/183.80
% 183.74/183.80 fof(fact_abs__divide,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.74/183.80 => 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)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__int__eq,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__int,axiom,
% 183.74/183.80 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__by__0,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__0,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__by__1,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__ge__zero,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__le__zero__iff,axiom,
% 183.74/183.80 ! [V_a_2,T_b] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.80 => ( 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)))
% 183.74/183.80 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__of__nonneg,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.80 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__of__pos,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.80 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zero__less__abs__iff,axiom,
% 183.74/183.80 ! [V_a_2,T_b] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.80 => ( 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)))
% 183.74/183.80 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__not__less__zero,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => ~ 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))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__triangle__ineq,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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)))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__mult__less,axiom,
% 183.74/183.80 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.74/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 183.74/183.80 => 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))) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__triangle__ineq2__sym,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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)))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__triangle__ineq2,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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)))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__triangle__ineq3,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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)))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nonzero__abs__divide,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Fields_Olinordered__field(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 183.74/183.80 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__0,axiom,
% 183.74/183.80 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 183.74/183.80 ! [V_a_2,V_b_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 183.74/183.80 ! [V_a_2,V_b_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__neg__pos__less0,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_ex__nat,axiom,
% 183.74/183.80 ! [V_Pa_2] :
% 183.74/183.80 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.80 <=> ? [B_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.74/183.80 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_all__nat,axiom,
% 183.74/183.80 ! [V_Pa_2] :
% 183.74/183.80 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.80 <=> ! [B_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 183.74/183.80 ! [V_y_2,V_x_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.74/183.80 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 183.74/183.80 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_eq__nat__nat__iff,axiom,
% 183.74/183.80 ! [V_z_H_2,V_z_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 183.74/183.80 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 183.74/183.80 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__self,axiom,
% 183.74/183.80 ! [V_a] :
% 183.74/183.80 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zmod__zdiv__trivial,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_DIVISION__BY__ZERO,axiom,
% 183.74/183.80 ! [V_a] :
% 183.74/183.80 ( 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)
% 183.74/183.80 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__zmult__eq__1,axiom,
% 183.74/183.80 ! [V_n,V_m] :
% 183.74/183.80 ( 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)
% 183.74/183.80 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__number__of,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__number__of__def,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__zadd1__eq,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 183.74/183.80 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_neg__nat,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 183.74/183.80 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_not__neg__nat,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 183.74/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__mult1__if,axiom,
% 183.74/183.80 ! [V_b,V_a,V_c,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.74/183.80 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self2__is__id,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self1__is__id,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__mult2,axiom,
% 183.74/183.80 ! [V_b,V_a,V_c,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__mult1,axiom,
% 183.74/183.80 ! [V_b,V_a,V_c,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__self,axiom,
% 183.74/183.80 ! [V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 183.74/183.80 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 183.74/183.80
% 183.74/183.80 fof(fact_mod__div__trivial,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__mult__pos,axiom,
% 183.74/183.80 ! [V_y,V_x,T_a] :
% 183.74/183.80 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__eq__mult,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Rings_Oordered__ring__abs(T_a)
% 183.74/183.80 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 183.74/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.74/183.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__diff__triangle__ineq,axiom,
% 183.74/183.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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))))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__triangle__ineq4,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.80 => 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)))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__div__pos,axiom,
% 183.74/183.80 ! [V_x,V_y,T_a] :
% 183.74/183.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 183.74/183.80 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_abs__minus__one,axiom,
% 183.74/183.80 ! [T_a] :
% 183.74/183.80 ( ( class_Int_Onumber__ring(T_a)
% 183.74/183.80 & class_Rings_Olinordered__idom(T_a) )
% 183.74/183.80 => 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) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__le__0,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__0__iff,axiom,
% 183.74/183.80 ! [V_i_2] :
% 183.74/183.80 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__eq__0__iff,axiom,
% 183.74/183.80 ! [V_k_2,V_i_2] :
% 183.74/183.80 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.80 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 183.74/183.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 183.74/183.80 ! [V_a_2,V_b_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 183.74/183.80 ! [V_i_2,V_k_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 183.74/183.80 ! [V_b_2,V_a_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__mono2,axiom,
% 183.74/183.80 ! [V_b,V_b_H,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__nonneg__neg__le0,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__pos__pos__trivial,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 183.74/183.80 ! [V_a_2,V_b_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__nonpos__pos__le0,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__mono2__neg,axiom,
% 183.74/183.80 ! [V_b,V_b_H,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__neg__neg__trivial,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__mono1,axiom,
% 183.74/183.80 ! [V_b,V_a_H,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__mono1__neg,axiom,
% 183.74/183.80 ! [V_b,V_a_H,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zless__nat__conj,axiom,
% 183.74/183.80 ! [V_z_2,V_w_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__mono__iff,axiom,
% 183.74/183.80 ! [V_w_2,V_z_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zabs__less__one__iff,axiom,
% 183.74/183.80 ! [V_z_2] :
% 183.74/183.80 ( 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)))
% 183.74/183.80 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 183.74/183.80 ! [V_y_2,V_x_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__1,axiom,
% 183.74/183.80 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_int__div__less__self,axiom,
% 183.74/183.80 ! [V_k,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__zmult2__eq,axiom,
% 183.74/183.80 ! [V_b,V_a,V_c] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__0__le,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_int__eq__iff,axiom,
% 183.74/183.80 ! [V_z_2,V_m_2] :
% 183.74/183.80 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 183.74/183.80 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_int__nat__eq,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 183.74/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zless__nat__eq__int__zless,axiom,
% 183.74/183.80 ! [V_z_2,V_m_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zmod__zdiv__equality,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__zmult1__eq,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__zmod__equality,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__zmod__equality2,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zmod__zdiv__equality_H,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zmult__div__cancel,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self1,axiom,
% 183.74/183.80 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self2,axiom,
% 183.74/183.80 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__add__self1,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__add__self2,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mod__equality,axiom,
% 183.74/183.80 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mod__equality2,axiom,
% 183.74/183.80 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_mod__div__equality,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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 ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_mod__div__equality2,axiom,
% 183.74/183.80 ! [V_a,V_b,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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 ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 183.74/183.80 ! [V_b,V_a,T_a] :
% 183.74/183.80 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.80 => 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 ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zero__less__nat__eq,axiom,
% 183.74/183.80 ! [V_z_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 183.74/183.80 ! [V_y_2,V_x_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__less__eq__zless,axiom,
% 183.74/183.80 ! [V_z_2,V_w_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__eq__iff2,axiom,
% 183.74/183.80 ! [V_w_2,V_m_2] :
% 183.74/183.80 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 183.74/183.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 183.74/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__eq__iff,axiom,
% 183.74/183.80 ! [V_m_2,V_w_2] :
% 183.74/183.80 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 183.74/183.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 183.74/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__le__eq__zle,axiom,
% 183.74/183.80 ! [V_z_2,V_w_2] :
% 183.74/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__nat,axiom,
% 183.74/183.80 ! [V_i_2,V_Pa_2] :
% 183.74/183.80 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 183.74/183.80 <=> ( ! [B_n] :
% 183.74/183.80 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 183.74/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__add__distrib,axiom,
% 183.74/183.80 ! [V_z_H,V_z] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 183.74/183.80 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_int__eq__iff__number__of,axiom,
% 183.74/183.80 ! [V_v_2,V_m_2] :
% 183.74/183.80 ( 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)
% 183.74/183.80 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 183.74/183.80 & 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))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__mult__distrib,axiom,
% 183.74/183.80 ! [V_z_H,V_z] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__eq__minus1,axiom,
% 183.74/183.80 ! [V_b] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.80 => 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) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__diff__distrib,axiom,
% 183.74/183.80 ! [V_z,V_z_H] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 183.74/183.80 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__mod__distrib,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_one__less__nat__eq,axiom,
% 183.74/183.80 ! [V_z_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_divmod__int__rel__div__eq,axiom,
% 183.74/183.80 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 183.74/183.80 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 183.74/183.80 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 183.74/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.74/183.80 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__zdiv,axiom,
% 183.74/183.80 ! [V_k_2,V_na_2,V_Pa_2] :
% 183.74/183.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 183.74/183.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.74/183.80 => ! [B_i] :
% 183.74/183.80 ( ? [B_j] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.74/183.80 & 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) )
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 183.74/183.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ! [B_i] :
% 183.74/183.80 ( ? [B_j] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 & 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) )
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__less__iff,axiom,
% 183.74/183.80 ! [V_m_2,V_w_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 183.74/183.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 183.74/183.80 ! [V_z] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.80 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zmod__zmult2__eq,axiom,
% 183.74/183.80 ! [V_b,V_a,V_c] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.74/183.80 => 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)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__pos__neg__trivial,axiom,
% 183.74/183.80 ! [V_b,V_a] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.80 => ( 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)))
% 183.74/183.80 => 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) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__neg__lemma,axiom,
% 183.74/183.80 ! [V_na_2,V_Pa_2,V_k_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 => ( 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)))
% 183.74/183.80 <=> ! [B_i,B_j] :
% 183.74/183.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.80 & 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) )
% 183.74/183.80 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__aux__def,axiom,
% 183.74/183.80 ! [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) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_transfer__morphism__nat__int,axiom,
% 183.74/183.80 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))) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_card__greaterThanLessThan__int,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 183.74/183.80 ( 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)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 183.74/183.80 ( 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)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 183.74/183.80 ( 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)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 183.74/183.80 ( 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)))
% 183.74/183.80 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 183.74/183.80 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_finite__greaterThanLessThan__int,axiom,
% 183.74/183.80 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__le__mono,axiom,
% 183.74/183.80 ! [V_k,V_n,V_m] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__le__dividend,axiom,
% 183.74/183.80 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult2__eq,axiom,
% 183.74/183.80 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__1,axiom,
% 183.74/183.80 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__less,axiom,
% 183.74/183.80 ! [V_n,V_m] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__mult__div__cancel__disj,axiom,
% 183.74/183.80 ! [V_n,V_m,V_k] :
% 183.74/183.80 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.80 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__add1__eq,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_zdiv__int,axiom,
% 183.74/183.80 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 183.74/183.80 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_greaterThanLessThan__empty,axiom,
% 183.74/183.80 ! [V_k_2,V_l_2,T_b] :
% 183.74/183.80 ( class_Orderings_Oorder(T_b)
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 183.74/183.80 => 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)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__le__mono2,axiom,
% 183.74/183.80 ! [V_k,V_n,V_m] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self__is__m,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult__self1__is__m,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__mult__div__cancel1,axiom,
% 183.74/183.80 ! [V_n,V_m,V_k] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__less__dividend,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.74/183.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mult1__eq,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_mod__mult2__eq,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__mod__equality_H,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_mult__div__cancel,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Divides_Omod__div__equality_H,axiom,
% 183.74/183.80 ! [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)) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__geq,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__if,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__div,axiom,
% 183.74/183.80 ! [V_k_2,V_na_2,V_Pa_2] :
% 183.74/183.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 183.74/183.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.74/183.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 => ! [B_i,B_j] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 183.74/183.80 => ( 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)
% 183.74/183.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_nat__div__distrib,axiom,
% 183.74/183.80 ! [V_y,V_x] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.80 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_le__div__geq,axiom,
% 183.74/183.80 ! [V_m,V_n] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__div__lemma,axiom,
% 183.74/183.80 ! [V_m_2,V_q_2,V_na_2] :
% 183.74/183.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 183.74/183.80 => ( ( 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))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 183.74/183.80 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_split__div_H,axiom,
% 183.74/183.80 ! [V_na_2,V_m_2,V_Pa_2] :
% 183.74/183.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 183.74/183.80 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.80 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.74/183.80 | ? [B_q] :
% 183.74/183.80 ( 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))
% 183.74/183.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,B_q))))
% 183.74/183.80 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 183.74/183.80
% 183.74/183.80 fof(fact_div__nat__number__of,axiom,
% 183.74/183.80 ! [V_v_H,V_v] :
% 183.74/183.80 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.80 => 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) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_one__div__nat__number__of,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ord_OatMost__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ord_OatLeast__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ord_OlessThan__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ord_OgreaterThan__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__greaterThanLessThan,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 183.74/183.81 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__set__def,axiom,
% 183.74/183.81 ! [V_S_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_S_2)
% 183.74/183.81 <=> ! [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 183.74/183.81 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.81 => ( V_A_2 = V_B_2
% 183.74/183.81 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 183.74/183.81 ! [V_x_2,V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__greaterThanLessThan,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 183.74/183.81 ! [V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 183.74/183.81 ! [V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 183.74/183.81 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 183.74/183.81 ! [V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 183.74/183.81 ! [V_A_2,V_x_2] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.74/183.81 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_int__power__div__base,axiom,
% 183.74/183.81 ! [V_k,V_m] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 183.74/183.81 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_int__val__lemma,axiom,
% 183.74/183.81 ! [V_k_2,V_f_2,V_na_2] :
% 183.74/183.81 ( ! [B_i] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 183.74/183.81 => ? [B_i] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.81 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat0__intermed__int__val,axiom,
% 183.74/183.81 ! [V_k_2,V_f_2,V_na_2] :
% 183.74/183.81 ( ! [B_i] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 183.74/183.81 => ? [B_i] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.81 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__atLeastAtMost__int,axiom,
% 183.74/183.81 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__atLeastAtMost__int,axiom,
% 183.74/183.81 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.74/183.81 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 183.74/183.81 ! [V_n,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 183.74/183.81 ! [V_q,V_y,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 183.74/183.81 ! [V_q,V_p,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zpower__zpower,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zpower__zmod,axiom,
% 183.74/183.81 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 183.74/183.81 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 183.74/183.81 ! [V_y,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 183.74/183.81 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 183.74/183.81 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 183.74/183.81 ! [V_y,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 183.74/183.81 ! [V_y,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 183.74/183.81 ! [V_y,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 183.74/183.81 ! [V_q,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 183.74/183.81 ! [V_q,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 183.74/183.81 ! [V_q,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 183.74/183.81 ! [V_q,V_p,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 183.74/183.81 ! [V_n,V_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zpower__zadd__distrib,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Ints__power,axiom,
% 183.74/183.81 ! [V_na_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Oring__1(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 183.74/183.81 ! [V_y,V_x] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastatMost__empty__iff2,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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)
% 183.74/183.81 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastatMost__empty__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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))
% 183.74/183.81 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastatMost__empty,axiom,
% 183.74/183.81 ! [V_a_2,V_b_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 183.74/183.81 => 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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastatMost__subset__iff,axiom,
% 183.74/183.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 183.74/183.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 183.74/183.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastAtMost__singleton,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 183.74/183.81 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> ( V_a_2 = V_b_2
% 183.74/183.81 & V_b_2 = V_c_2 ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastAtMost__singleton_H,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( V_a_2 = V_b_2
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_is__nat__def,axiom,
% 183.74/183.81 ! [V_x_2] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.74/183.81 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zero__le__zpower__abs,axiom,
% 183.74/183.81 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 183.74/183.81 ! [V_x_2,V_A_2] :
% 183.74/183.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.74/183.81 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastatMost__psubset__iff,axiom,
% 183.74/183.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 183.74/183.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 183.74/183.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 183.74/183.81 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 183.74/183.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 183.74/183.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__power__minus__one,axiom,
% 183.74/183.81 ! [V_n,T_a] :
% 183.74/183.81 ( ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 & class_Rings_Olinordered__idom(T_a) )
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zero__less__zpower__abs__iff,axiom,
% 183.74/183.81 ! [V_na_2,V_x_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_na_2)))
% 183.74/183.81 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_simp__from__to,axiom,
% 183.74/183.81 ! [V_i_2,V_j_2] :
% 183.74/183.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 183.74/183.81 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 183.74/183.81 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__strict__mono,axiom,
% 183.74/183.81 ! [V_n,V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.81 => 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))) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__diff,axiom,
% 183.74/183.81 ! [V_m,V_n,V_a,T_a] :
% 183.74/183.81 ( class_Fields_Ofield(T_a)
% 183.74/183.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.81 => 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)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_one__less__power,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__le__imp__le__exp,axiom,
% 183.74/183.81 ! [V_n,V_m,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => ( 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)))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__increasing__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__decreasing,axiom,
% 183.74/183.81 ! [V_a,V_N,V_n,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.74/183.81 => 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))) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__atLeastAtMost,axiom,
% 183.74/183.81 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__Suc__atLeastAtMost,axiom,
% 183.74/183.81 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__Suc__0,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 183.74/183.81 ! [V_m_2,V_x_2] :
% 183.74/183.81 ( 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))
% 183.74/183.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__power__less__imp__less,axiom,
% 183.74/183.81 ! [V_n,V_m,V_i] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 183.74/183.81 => ( 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)))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__zero__less__power__iff,axiom,
% 183.74/183.81 ! [V_na_2,V_x_2] :
% 183.74/183.81 ( 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)))
% 183.74/183.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 183.74/183.81 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__one__le__power,axiom,
% 183.74/183.81 ! [V_n,V_i] :
% 183.74/183.81 ( 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))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 183.74/183.81 ! [V_k_2,V_f_2] :
% 183.74/183.81 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeastAtMostSuc__conv,axiom,
% 183.74/183.81 ! [V_na_2,V_m_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zpower__int,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_int__power,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_setsum__head__Suc,axiom,
% 183.74/183.81 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 183.74/183.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__atLeastAtMost,axiom,
% 183.74/183.81 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_setsum__cl__ivl__Suc,axiom,
% 183.74/183.81 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 183.74/183.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 183.74/183.81 => 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) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__eq__if,axiom,
% 183.74/183.81 ! [V_p,V_m] :
% 183.74/183.81 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.74/183.81 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_setsum__ub__add__nat,axiom,
% 183.74/183.81 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 183.74/183.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 183.74/183.81 ! [V_n,V_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__power__eq,axiom,
% 183.74/183.81 ! [V_n,V_z] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 183.74/183.81 ! [V_na_2,V_m_2] :
% 183.74/183.81 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 183.74/183.81 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__nat__number__of,axiom,
% 183.74/183.81 ! [V_n,V_v] :
% 183.74/183.81 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.81 => 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) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.81 => 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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__nat__number__of__number__of,axiom,
% 183.74/183.81 ! [V_w,V_v] :
% 183.74/183.81 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.81 => 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)) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_field__power__not__zero,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 183.74/183.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__commutes,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__mult__distrib,axiom,
% 183.74/183.81 ! [V_n,V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__one,axiom,
% 183.74/183.81 ! [V_n,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_of__nat__power,axiom,
% 183.74/183.81 ! [V_n,V_m,T_a] :
% 183.74/183.81 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__mult,axiom,
% 183.74/183.81 ! [V_n,V_m,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__divide,axiom,
% 183.74/183.81 ! [V_n,V_b,V_a,T_a] :
% 183.74/183.81 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__abs,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__one__right,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__mono,axiom,
% 183.74/183.81 ! [V_n,V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zero__le__power,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zero__less__power,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__eq__0__iff,axiom,
% 183.74/183.81 ! [V_na_2,V_a_2,T_b] :
% 183.74/183.81 ( ( class_Power_Opower(T_b)
% 183.74/183.81 & class_Rings_Omult__zero(T_b)
% 183.74/183.81 & class_Rings_Ono__zero__divisors(T_b)
% 183.74/183.81 & class_Rings_Ozero__neq__one(T_b) )
% 183.74/183.81 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.81 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.81 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_one__le__power,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__0__Suc,axiom,
% 183.74/183.81 ! [V_n,T_a] :
% 183.74/183.81 ( ( class_Power_Opower(T_a)
% 183.74/183.81 & class_Rings_Osemiring__0(T_a) )
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__inject__exp,axiom,
% 183.74/183.81 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 183.74/183.81 => ( 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)
% 183.74/183.81 <=> V_m_2 = V_na_2 ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__Suc,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Power_Opower(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__Suc2,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__0,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Power_Opower(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__add,axiom,
% 183.74/183.81 ! [V_n,V_m,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nonzero__power__divide,axiom,
% 183.74/183.81 ! [V_n,V_a,V_b,T_a] :
% 183.74/183.81 ( class_Fields_Ofield(T_a)
% 183.74/183.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => 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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__one__over,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__less__imp__less__base,axiom,
% 183.74/183.81 ! [V_b,V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__inject__base,axiom,
% 183.74/183.81 ! [V_b,V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( 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))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.74/183.81 => V_a = V_b ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__le__imp__le__base,axiom,
% 183.74/183.81 ! [V_b,V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( 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))))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__less__power__Suc,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__gt1__lemma,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__0__left,axiom,
% 183.74/183.81 ! [V_n,T_a] :
% 183.74/183.81 ( ( class_Power_Opower(T_a)
% 183.74/183.81 & class_Rings_Osemiring__0(T_a) )
% 183.74/183.81 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => 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) )
% 183.74/183.81 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => 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) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__gt1,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__strict__increasing__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__less__imp__less__exp,axiom,
% 183.74/183.81 ! [V_n,V_m,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => ( 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)))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__strict__increasing,axiom,
% 183.74/183.81 ! [V_a,V_N,V_n,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zero__le__power__abs,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__increasing,axiom,
% 183.74/183.81 ! [V_a,V_N,V_n,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__Suc__less,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__eq__imp__eq__base,axiom,
% 183.74/183.81 ! [V_b,V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( 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)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.81 => V_a = V_b ) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__Suc__less__one,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.74/183.81 => 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))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__strict__decreasing,axiom,
% 183.74/183.81 ! [V_a,V_N,V_n,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.74/183.81 => 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))) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I8_J,axiom,
% 183.74/183.81 ! [V_B_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I6_J,axiom,
% 183.74/183.81 ! [V_A_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 183.74/183.81 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I3_J,axiom,
% 183.74/183.81 ! [V_B_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 183.74/183.81 => ( ! [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 183.74/183.81 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 183.74/183.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I3_J,axiom,
% 183.74/183.81 ! [V_A_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 183.74/183.81 => ( ! [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 183.74/183.81 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 183.74/183.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I5_J,axiom,
% 183.74/183.81 ! [V_A_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__gcd_Osimps,axiom,
% 183.74/183.81 ! [V_x,V_y] :
% 183.74/183.81 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 183.74/183.81 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 183.74/183.81 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ex__nat__less,axiom,
% 183.74/183.81 ! [V_Pa_2,V_na_2] :
% 183.74/183.81 ( ? [B_m] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 183.74/183.81 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.74/183.81 <=> ? [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 183.74/183.81 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_all__nat__less,axiom,
% 183.74/183.81 ! [V_Pa_2,V_na_2] :
% 183.74/183.81 ( ! [B_m] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 183.74/183.81 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.74/183.81 <=> ! [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 183.74/183.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I4_J,axiom,
% 183.74/183.81 ! [V_A_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( B_x != V_t_2
% 183.74/183.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I4_J,axiom,
% 183.74/183.81 ! [V_B_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( B_x != V_t_2
% 183.74/183.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I7_J,axiom,
% 183.74/183.81 ! [V_B_2,V_t_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I6_J,axiom,
% 183.74/183.81 ! [V_t_2,V_B_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I8_J,axiom,
% 183.74/183.81 ! [V_t_2,V_A_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__power__power,axiom,
% 183.74/183.81 ! [T_b] :
% 183.74/183.81 ( class_Power_Opower(T_b)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_periodic__finite__ex,axiom,
% 183.74/183.81 ! [V_Pa_2,V_d_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.74/183.81 => ( ! [B_x,B_k] :
% 183.74/183.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.81 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 183.74/183.81 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.81 <=> ? [B_x] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 183.74/183.81 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_aset_I7_J,axiom,
% 183.74/183.81 ! [V_t_2,V_A_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_bset_I5_J,axiom,
% 183.74/183.81 ! [V_t_2,V_B_2,V_D_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.74/183.81 => ! [B_x] :
% 183.74/183.81 ( ! [B_xa] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.74/183.81 => ! [B_xb] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.74/183.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power_Opower_Opower__0,axiom,
% 183.74/183.81 ! [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 ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power_Opower_Opower__Suc,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__Pow,axiom,
% 183.74/183.81 ! [V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__mod__eq__lemma,axiom,
% 183.74/183.81 ! [V_y,V_n,V_x] :
% 183.74/183.81 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 183.74/183.81 => ? [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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zdiv__zminus1__eq__if,axiom,
% 183.74/183.81 ! [V_a,V_b] :
% 183.74/183.81 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 183.74/183.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zdiv__zminus2__eq__if,axiom,
% 183.74/183.81 ! [V_a,V_b] :
% 183.74/183.81 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 183.74/183.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_PowI,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__lessThan,axiom,
% 183.74/183.81 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__atMost,axiom,
% 183.74/183.81 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_negative__zle,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_negative__zless,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Cantors__paradox,axiom,
% 183.74/183.81 ! [V_A_2,T_b] :
% 183.74/183.81 ~ ? [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__not__empty,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__top,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_number__of__minus,axiom,
% 183.74/183.81 ! [V_w,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_arith__simps_I30_J,axiom,
% 183.74/183.81 ! [V_w,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_compl__eq__compl__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Lattices_Oboolean__algebra(T_b)
% 183.74/183.81 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 183.74/183.81 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__equal__iff__equal,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 183.74/183.81 <=> V_a_2 = V_b_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__equation__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 183.74/183.81 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_equation__minus__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 183.74/183.81 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_uminus__apply,axiom,
% 183.74/183.81 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.81 ( class_Groups_Ouminus(T_b)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_double__compl,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__minus,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zminus__zminus,axiom,
% 183.74/183.81 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__Suc__atMost,axiom,
% 183.74/183.81 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__eq__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Orderings_Olinorder(T_b)
% 183.74/183.81 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 183.74/183.81 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atMost__eq__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Orderings_Olinorder(T_b)
% 183.74/183.81 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 183.74/183.81 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__number__of__mult,axiom,
% 183.74/183.81 ! [V_z,V_w,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_le__minus__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__le__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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))
% 183.74/183.81 <=> 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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__le__iff__le,axiom,
% 183.74/183.81 ! [V_a_2,V_b_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_compl__le__compl__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Lattices_Oboolean__algebra(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_le__imp__neg__le,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_compl__mono,axiom,
% 183.74/183.81 ! [V_y,V_x,T_a] :
% 183.74/183.81 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__equal__zero,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.81 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 183.74/183.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__equal__0__iff__equal,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_equal__neg__zero,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.81 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 183.74/183.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__0__equal__iff__equal,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 183.74/183.81 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__zero,axiom,
% 183.74/183.81 ! [T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_less__minus__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__less__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__less__iff__less,axiom,
% 183.74/183.81 ! [V_a_2,V_b_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__add__cancel,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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 ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_add__minus__cancel,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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 ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__add,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__add__distrib,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oab__group__add(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__mult__right,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__mult__left,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__mult__commute,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__mult__minus,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_square__eq__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Oidom(T_b)
% 183.74/183.81 => ( 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)
% 183.74/183.81 <=> ( V_a_2 = V_b_2
% 183.74/183.81 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__diff__eq,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oab__group__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_mod__minus__cong,axiom,
% 183.74/183.81 ! [V_a_H,V_b,V_a,T_a] :
% 183.74/183.81 ( class_Divides_Oring__div(T_a)
% 183.74/183.81 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_mod__minus__eq,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Divides_Oring__div(T_a)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zminus__0,axiom,
% 183.74/183.81 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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__divide__left,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Odivision__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__divide__divide,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__divide__right,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__minus__cancel,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__Pls,axiom,
% 183.74/183.81 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zminus__zadd__distrib,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__numeral__code_I5_J,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmult__zminus,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zminus__zmod,axiom,
% 183.74/183.81 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus__zminus,axiom,
% 183.74/183.81 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus2,axiom,
% 183.74/183.81 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zdiv__zminus__zminus,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zdiv__zminus2,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__bottom,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__empty,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__Pow__iff,axiom,
% 183.74/183.81 ! [V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 183.74/183.81 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_PowD,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__mono,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Pow__iff,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__Pow__surj,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 183.74/183.81 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__lessThan,axiom,
% 183.74/183.81 ! [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 ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__le__self__iff,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__le__0__iff__le,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_le__minus__self__iff,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__0__le__iff__le,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__less__nonneg,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__less__0__iff__less,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__0__less__iff__less,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_less__minus__self__iff,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_right__minus,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_b)
% 183.74/183.81 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 183.74/183.81 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_left__minus,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ab__left__minus,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oab__group__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__unique,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__0,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__minus__eq__add,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ab__diff__minus,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oab__group__add(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__def,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Ogroup__add(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 183.74/183.81 ! [V_y,V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__ring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_square__eq__1__iff,axiom,
% 183.74/183.81 ! [V_x_2,T_b] :
% 183.74/183.81 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.74/183.81 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 183.74/183.81 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 183.74/183.81 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( class_Rings_Ocomm__ring__1(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nonzero__minus__divide__divide,axiom,
% 183.74/183.81 ! [V_a,V_b,T_a] :
% 183.74/183.81 ( class_Rings_Odivision__ring(T_a)
% 183.74/183.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => 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) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nonzero__minus__divide__right,axiom,
% 183.74/183.81 ! [V_a,V_b,T_a] :
% 183.74/183.81 ( class_Rings_Odivision__ring(T_a)
% 183.74/183.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.81 => 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)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__ge__minus__self,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__le__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.81 => ( 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))
% 183.74/183.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 183.74/183.81 & 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)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__leI,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__le__D2,axiom,
% 183.74/183.81 ! [V_b,V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__less__iff,axiom,
% 183.74/183.81 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 183.74/183.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.74/183.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__uminus__atLeastAtMost,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__power__minus,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zadd__zminus__inverse2,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_negative__eq__positive,axiom,
% 183.74/183.81 ! [V_m_2,V_na_2] :
% 183.74/183.81 ( 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)
% 183.74/183.81 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_not__int__zless__negative,axiom,
% 183.74/183.81 ! [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)))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus1__not__zero,axiom,
% 183.74/183.81 ! [V_l,V_k] :
% 183.74/183.81 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus2__not__zero,axiom,
% 183.74/183.81 ! [V_l,V_k] :
% 183.74/183.81 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__int__def__symmetric,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__int__def,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Ints__minus,axiom,
% 183.74/183.81 ! [V_a_2,T_b] :
% 183.74/183.81 ( class_Rings_Oring__1(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Int_OMin__def,axiom,
% 183.74/183.81 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_mult__Min,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__Pow__mono,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.81 ( 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))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__0,axiom,
% 183.74/183.81 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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atLeast0AtMost,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__Suc,axiom,
% 183.74/183.81 ! [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)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_card__atMost,axiom,
% 183.74/183.81 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__minus__le__zero,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__of__nonpos,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__of__neg,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__if,axiom,
% 183.74/183.81 ! [V_a,T_a] :
% 183.74/183.81 ( class_Groups_Oabs__if(T_a)
% 183.74/183.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_power__minus,axiom,
% 183.74/183.81 ! [V_n,V_a,T_a] :
% 183.74/183.81 ( class_Rings_Oring__1(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atMost__Suc,axiom,
% 183.74/183.81 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atMost__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_i_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oord(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__iff,axiom,
% 183.74/183.81 ! [V_k_2,V_i_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oord(T_b)
% 183.74/183.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_mult__minus1,axiom,
% 183.74/183.81 ! [V_z,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_mult__minus1__right,axiom,
% 183.74/183.81 ! [V_z,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_number__of__Min,axiom,
% 183.74/183.81 ! [T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_arith__simps_I31_J,axiom,
% 183.74/183.81 ! [T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_diff__number__of__eq,axiom,
% 183.74/183.81 ! [V_w,V_v,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atMost__subset__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__subset__iff,axiom,
% 183.74/183.81 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.81 ( class_Orderings_Olinorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_divide__minus1,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 & class_Int_Onumber__ring(T_a) )
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_int__zle__neg,axiom,
% 183.74/183.81 ! [V_m_2,V_na_2] :
% 183.74/183.81 ( 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))))
% 183.74/183.81 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.81 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_negative__zle__0,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__zminus__int,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus__numeral__code_I6_J,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus2__eq__if,axiom,
% 183.74/183.81 ! [V_b,V_a] :
% 183.74/183.81 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zmod__zminus1__eq__if,axiom,
% 183.74/183.81 ! [V_b,V_a] :
% 183.74/183.81 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zabs__def,axiom,
% 183.74/183.81 ! [V_i] :
% 183.74/183.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.81 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_neg__zminus__int,axiom,
% 183.74/183.81 ! [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))))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_zdiv__minus1__right,axiom,
% 183.74/183.81 ! [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) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_lessThan__strict__subset__iff,axiom,
% 183.74/183.81 ! [V_na_2,V_m_2,T_b] :
% 183.74/183.81 ( class_Orderings_Olinorder(T_b)
% 183.74/183.81 => ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_abs__number__of,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 & class_Rings_Olinordered__idom(T_a) )
% 183.74/183.81 => ( ( 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)))
% 183.74/183.81 => 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)) )
% 183.74/183.81 & ( ~ 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)))
% 183.74/183.81 => 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) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_add__number__of__diff2,axiom,
% 183.74/183.81 ! [V_w,V_c,V_v,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_minus1__divide,axiom,
% 183.74/183.81 ! [V_x,T_a] :
% 183.74/183.81 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.74/183.81 & class_Int_Onumber__ring(T_a) )
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_number__of__pred,axiom,
% 183.74/183.81 ! [V_w,T_a] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_a)
% 183.74/183.81 => 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)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_not__zle__0__negative,axiom,
% 183.74/183.81 ! [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))))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_negative__zless__0,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_atMost__0,axiom,
% 183.74/183.81 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_single__Diff__lessThan,axiom,
% 183.74/183.81 ! [V_k_2,T_b] :
% 183.74/183.81 ( class_Orderings_Oorder(T_b)
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_nat__mult__distrib__neg,axiom,
% 183.74/183.81 ! [V_z_H,V_z] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_z3div__def,axiom,
% 183.74/183.81 ! [V_k,V_l] :
% 183.74/183.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.81 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.81 => 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))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_z3mod__def,axiom,
% 183.74/183.81 ! [V_k,V_l] :
% 183.74/183.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.81 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.81 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_eq__special_I3_J,axiom,
% 183.74/183.81 ! [V_x_2,T_b] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_b)
% 183.74/183.81 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.81 <=> 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_eq__special_I1_J,axiom,
% 183.74/183.81 ! [V_y_2,T_b] :
% 183.74/183.81 ( class_Int_Onumber__ring(T_b)
% 183.74/183.81 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.74/183.81 <=> 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)))) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 183.74/183.81 ! [V_u_2] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_of__int__of__nat,axiom,
% 183.74/183.81 ! [V_k,T_a] :
% 183.74/183.81 ( class_Rings_Oring__1(T_a)
% 183.74/183.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.81 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 183.74/183.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.81 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ComplI,axiom,
% 183.74/183.81 ! [V_A_2,V_c_2,T_b] :
% 183.74/183.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.81 => 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))) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_finite__atLeastLessThan__int,axiom,
% 183.74/183.81 ! [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))) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_of__int__eq__iff,axiom,
% 183.74/183.81 ! [V_z_2,V_w_2,T_b] :
% 183.74/183.81 ( class_Int_Oring__char__0(T_b)
% 183.74/183.81 => ( 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)
% 183.74/183.81 <=> V_w_2 = V_z_2 ) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Compl__iff,axiom,
% 183.74/183.81 ! [V_A_2,V_c_2,T_b] :
% 183.74/183.81 ( 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)))
% 183.74/183.81 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ComplD,axiom,
% 183.74/183.81 ! [V_A_2,V_c_2,T_b] :
% 183.74/183.81 ( 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)))
% 183.74/183.81 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_ComplE,axiom,
% 183.74/183.81 ! [V_A_2,V_c_2,T_b] :
% 183.74/183.81 ( 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)))
% 183.74/183.81 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Compl__subset__Compl__iff,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( 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)))
% 183.74/183.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 183.74/183.81
% 183.74/183.81 fof(fact_Compl__anti__mono,axiom,
% 183.74/183.81 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_number__of__eq,axiom,
% 183.74/183.82 ! [V_k,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_int__number__of__def,axiom,
% 183.74/183.82 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__int__eq,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__eq__iff,axiom,
% 183.74/183.82 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 183.74/183.82 => ( 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)
% 183.74/183.82 <=> ( V_a_2 = V_c_2
% 183.74/183.82 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 183.74/183.82 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 183.74/183.82 => V_a_2 = V_c_2 ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 183.74/183.82 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 183.74/183.82 => V_b_2 = V_d_2 ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_iszero__def,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.82 => ( c_Int_Oiszero(T_b,V_z_2)
% 183.74/183.82 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_iszero__0,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.82 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_not__iszero__1,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.82 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_subset__Compl__self__eq,axiom,
% 183.74/183.82 ! [V_A_2,T_b] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__0,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__0__eq__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Int_Oring__char__0(T_b)
% 183.74/183.82 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 183.74/183.82 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__eq__0__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Int_Oring__char__0(T_b)
% 183.74/183.82 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__le__iff,axiom,
% 183.74/183.82 ! [V_z_2,V_w_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__less__iff,axiom,
% 183.74/183.82 ! [V_z_2,V_w_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__add,axiom,
% 183.74/183.82 ! [V_z,V_w,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__number__of__eq,axiom,
% 183.74/183.82 ! [V_v,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__mult,axiom,
% 183.74/183.82 ! [V_z,V_w,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__1,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__diff,axiom,
% 183.74/183.82 ! [V_z,V_w,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__empty,axiom,
% 183.74/183.82 ! [V_a_2,V_b_2,T_b] :
% 183.74/183.82 ( class_Orderings_Oorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__of__nat__eq,axiom,
% 183.74/183.82 ! [V_n,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__minus,axiom,
% 183.74/183.82 ! [V_z,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__empty__iff,axiom,
% 183.74/183.82 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Oorder(T_b)
% 183.74/183.82 => ( 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))
% 183.74/183.82 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 183.74/183.82 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Oorder(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__subset__iff,axiom,
% 183.74/183.82 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 183.74/183.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 183.74/183.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__diff,axiom,
% 183.74/183.82 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Ints__of__int,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Oring__1(T_b)
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__power,axiom,
% 183.74/183.82 ! [V_n,V_z,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__m1,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_iszero__Numeral0,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nonzero__number__of__Min,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_card__atLeastLessThan__int,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__0__le__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__le__0__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__0__less__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__int__less__0__iff,axiom,
% 183.74/183.82 ! [V_z_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__nat__nat,axiom,
% 183.74/183.82 ! [V_z,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_eq__number__of__eq,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.74/183.82 <=> 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)))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_negD,axiom,
% 183.74/183.82 ! [V_x] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.82 => ? [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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_eq__special_I4_J,axiom,
% 183.74/183.82 ! [V_x_2,T_b] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 183.74/183.82 <=> 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))))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_eq__special_I2_J,axiom,
% 183.74/183.82 ! [V_y_2,T_b] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.74/183.82 <=> 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)))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__if,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Groups_Osgn__if(T_a)
% 183.74/183.82 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.74/183.82 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 183.74/183.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__1__neg,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__neg,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_finite__atLeastLessThan,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Compl__eq__Compl__iff,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( 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)
% 183.74/183.82 <=> V_A_2 = V_B_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_double__complement,axiom,
% 183.74/183.82 ! [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 ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__sgn,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I51_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 183.74/183.82 <=> V_k_2 = V_l_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I34_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__eq__int__code_I16_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I17_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__int__code_I16_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I46_J,axiom,
% 183.74/183.82 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I39_J,axiom,
% 183.74/183.82 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I47_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 183.74/183.82 <=> V_k_2 = c_Int_OMin ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I43_J,axiom,
% 183.74/183.82 ! [V_l_2] :
% 183.74/183.82 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 183.74/183.82 <=> c_Int_OMin = V_l_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Bit1__Min,axiom,
% 183.74/183.82 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn0,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Groups_Osgn__if(T_a)
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__0__0,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__times,axiom,
% 183.74/183.82 ! [V_b,V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_all__nat__less__eq,axiom,
% 183.74/183.82 ! [V_Pa_2,V_na_2] :
% 183.74/183.82 ( ! [B_m] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 183.74/183.82 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.74/183.82 <=> ! [B_x] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ex__nat__less__eq,axiom,
% 183.74/183.82 ! [V_Pa_2,V_na_2] :
% 183.74/183.82 ( ? [B_m] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 183.74/183.82 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.74/183.82 <=> ? [B_x] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_bin__less__0__simps_I4_J,axiom,
% 183.74/183.82 ! [V_w_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I22_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I12_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Bit1__def,axiom,
% 183.74/183.82 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I30_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I26_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I13_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I9_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan0,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeast0LessThan,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_neg__number__of__Bit1,axiom,
% 183.74/183.82 ! [V_w_2] :
% 183.74/183.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 183.74/183.82 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_card__atLeastLessThan,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_minus__Bit1,axiom,
% 183.74/183.82 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_iszero__number__of__Bit1,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 & class_Int_Oring__char__0(T_a) )
% 183.74/183.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_succ__Pls,axiom,
% 183.74/183.82 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_image__Suc__atLeastLessThan,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_number__of__Bit1,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__numeral__1,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__numeral__1__right,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_semiring__norm_I110_J,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_numeral__1__eq__1,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_setsum__add__nat__ivl,axiom,
% 183.74/183.82 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 183.74/183.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_setsum__diff__nat__ivl,axiom,
% 183.74/183.82 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 183.74/183.82 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I29_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I5_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_divide__Numeral1,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( ( class_Fields_Ofield(T_a)
% 183.74/183.82 & class_Int_Onumber__ring(T_a) )
% 183.74/183.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_divide__numeral__1,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( ( class_Fields_Ofield(T_a)
% 183.74/183.82 & class_Int_Onumber__ring(T_a) )
% 183.74/183.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__less,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__greater,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_one__is__num__one,axiom,
% 183.74/183.82 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nat__numeral__1__eq__1,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Numeral1__eq1__nat,axiom,
% 183.74/183.82 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I4_J,axiom,
% 183.74/183.82 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_minus__Min,axiom,
% 183.74/183.82 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 183.74/183.82 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__sgn__abs,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => 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 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_abs__sgn,axiom,
% 183.74/183.82 ! [V_k,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_not__iszero__Numeral1,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__singleton,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_subset__card__intvl__is__intvl,axiom,
% 183.74/183.82 ! [V_k_2,V_A_2] :
% 183.74/183.82 ( 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)))))
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 183.74/183.82 ! [V_k_2,V_f_2,T_b] :
% 183.74/183.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.82 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_setsum__head__upt__Suc,axiom,
% 183.74/183.82 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 183.74/183.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_numeral__1__eq__Suc__0,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_numeral__3__eq__3,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power3__eq__cube,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 183.74/183.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc3__eq__add__3,axiom,
% 183.74/183.82 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThanSuc,axiom,
% 183.74/183.82 ! [V_na_2,V_m_2] :
% 183.74/183.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.82 => 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)) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__pos,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sgn__1__pos,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_setsum__op__ivl__Suc,axiom,
% 183.74/183.82 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 183.74/183.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 183.74/183.82 => 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) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__special_I4_J,axiom,
% 183.74/183.82 ! [V_x_2,T_b] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 & class_Rings_Olinordered__idom(T_b) )
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__special_I2_J,axiom,
% 183.74/183.82 ! [V_y_2,T_b] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 & class_Rings_Olinordered__idom(T_b) )
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__special_I2_J,axiom,
% 183.74/183.82 ! [V_y_2,T_b] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 & class_Rings_Olinordered__idom(T_b) )
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__special_I4_J,axiom,
% 183.74/183.82 ! [V_x_2,T_b] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 & class_Rings_Olinordered__idom(T_b) )
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__special_I2_J,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__special_I3_J,axiom,
% 183.74/183.82 ! [V_v,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 183.74/183.82 ! [V_m,V_n] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 183.74/183.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 183.74/183.82 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 183.74/183.82 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 183.74/183.82 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 183.74/183.82 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__div__eq__add3__div,axiom,
% 183.74/183.82 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_div__Suc__eq__div__add3,axiom,
% 183.74/183.82 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zsgn__def,axiom,
% 183.74/183.82 ! [V_i] :
% 183.74/183.82 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.82 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 183.74/183.82 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 183.74/183.82 => 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)) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__special_I1_J,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__special_I2_J,axiom,
% 183.74/183.82 ! [V_v,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zmod__number__of__Bit1,axiom,
% 183.74/183.82 ! [V_v,V_w] :
% 183.74/183.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.74/183.82 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.74/183.82 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_neg__zmod__mult__2,axiom,
% 183.74/183.82 ! [V_b,V_a] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.82 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_pos__zdiv__mult__2,axiom,
% 183.74/183.82 ! [V_b,V_a] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.82 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_neg__zdiv__mult__2,axiom,
% 183.74/183.82 ! [V_b,V_a] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.82 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_pos__zmod__mult__2,axiom,
% 183.74/183.82 ! [V_b,V_a] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.82 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I48_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 183.74/183.82 <=> V_k_2 = V_l_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__eq__int__code_I13_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I31_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__int__code_I13_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I14_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Bit0__Pls,axiom,
% 183.74/183.82 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I38_J,axiom,
% 183.74/183.82 ! [V_l_2] :
% 183.74/183.82 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 183.74/183.82 <=> c_Int_OPls = V_l_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I44_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 183.74/183.82 <=> V_k_2 = c_Int_OPls ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I49_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I50_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Bit0__def,axiom,
% 183.74/183.82 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__Bit0__Bit0,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__Bit0,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I7_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_minus__Bit0,axiom,
% 183.74/183.82 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I42_J,axiom,
% 183.74/183.82 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I45_J,axiom,
% 183.74/183.82 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 183.74/183.82
% 183.74/183.82 fof(fact_bin__less__0__simps_I3_J,axiom,
% 183.74/183.82 ! [V_w_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I21_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I27_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I32_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__eq__int__code_I14_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I4_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I10_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__int__code_I15_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I16_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__Bit1__Bit0,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__Bit0__Bit1,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I3_J,axiom,
% 183.74/183.82 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I9_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I10_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I28_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I8_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zdiv__number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_neg__number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w_2] :
% 183.74/183.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 183.74/183.82 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_pred__Bit0,axiom,
% 183.74/183.82 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_pred__Bit1,axiom,
% 183.74/183.82 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_pred__Min,axiom,
% 183.74/183.82 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_iszero__number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w_2,T_b] :
% 183.74/183.82 ( ( class_Int_Onumber__ring(T_b)
% 183.74/183.82 & class_Int_Oring__char__0(T_b) )
% 183.74/183.82 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 183.74/183.82 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_succ__Bit1,axiom,
% 183.74/183.82 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_succ__Bit0,axiom,
% 183.74/183.82 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I15_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__int__code_I14_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I33_J,axiom,
% 183.74/183.82 ! [V_l_2,V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__eq__int__code_I15_J,axiom,
% 183.74/183.82 ! [V_k2_2,V_k1_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__Bit1,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I25_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_rel__simps_I11_J,axiom,
% 183.74/183.82 ! [V_k_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I6_J,axiom,
% 183.74/183.82 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I5_J,axiom,
% 183.74/183.82 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_diff__bin__simps_I8_J,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__Bit1__Bit1,axiom,
% 183.74/183.82 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_double__number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_number__of1,axiom,
% 183.74/183.82 ! [V_n] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 183.74/183.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 183.74/183.82 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__2,axiom,
% 183.74/183.82 ! [V_z,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mult__2__right,axiom,
% 183.74/183.82 ! [V_z,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_one__add__one__is__two,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__power2,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__eq__power2,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_numeral__2__eq__2,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_semiring__norm_I115_J,axiom,
% 183.74/183.82 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__eq__square,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 183.74/183.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__2__eq__Suc,axiom,
% 183.74/183.82 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__2__eq__Suc_H,axiom,
% 183.74/183.82 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_one__power2,axiom,
% 183.74/183.82 ! [T_a] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__minus,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nat__mult__2,axiom,
% 183.74/183.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nat__mult__2__right,axiom,
% 183.74/183.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__even__eq,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 183.74/183.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__abs,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_abs__power2,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nat__1__add__1,axiom,
% 183.74/183.82 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mod2__Suc__Suc,axiom,
% 183.74/183.82 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_div2__Suc__Suc,axiom,
% 183.74/183.82 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zmod__number__of__Bit0,axiom,
% 183.74/183.82 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_add__self__div__2,axiom,
% 183.74/183.82 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 183.74/183.82
% 183.74/183.82 fof(fact_half__gt__zero,axiom,
% 183.74/183.82 ! [V_r,T_a] :
% 183.74/183.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.74/183.82 & class_Int_Onumber__ring(T_a) )
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_half__gt__zero__iff,axiom,
% 183.74/183.82 ! [V_r_2,T_b] :
% 183.74/183.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.74/183.82 & class_Int_Onumber__ring(T_b) )
% 183.74/183.82 => ( 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))))))
% 183.74/183.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__eq__imp__eq,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.82 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.74/183.82 => V_x = V_y ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__le__imp__le,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__le__power2,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__less__power2,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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))))))
% 183.74/183.82 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__less__0,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sum__power2__eq__zero__iff,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__eq__square__number__of,axiom,
% 183.74/183.82 ! [V_w,T_b] :
% 183.74/183.82 ( ( class_Groups_Omonoid__mult(T_b)
% 183.74/183.82 & class_Int_Onumber(T_b) )
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__2__cases,axiom,
% 183.74/183.82 ! [V_n] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 183.74/183.82 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.82 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_nat__2,axiom,
% 183.74/183.82 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__eq__1__iff,axiom,
% 183.74/183.82 ! [V_a_2,T_b] :
% 183.74/183.82 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.74/183.82 => ( 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)
% 183.74/183.82 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 183.74/183.82 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 183.74/183.82 ! [V_n,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__minus__even,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__less__imp__less,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__semidom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sum__power2__ge__zero,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sum__power2__le__zero__iff,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))
% 183.74/183.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sum__power2__gt__zero__iff,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.82 => ( 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)))))))
% 183.74/183.82 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.82 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_not__sum__power2__lt__zero,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__sum,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__le__even__power_H,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 183.74/183.82 ! [V_n,V_x,T_a] :
% 183.74/183.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__odd__eq,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Groups_Omonoid__mult(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__minus1__even,axiom,
% 183.74/183.82 ! [V_n,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zdiv__number__of__Bit1,axiom,
% 183.74/183.82 ! [V_v,V_w] :
% 183.74/183.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.74/183.82 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 183.74/183.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.74/183.82 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_mod2__gr__0,axiom,
% 183.74/183.82 ! [V_m_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.74/183.82 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_div__2__gt__zero,axiom,
% 183.74/183.82 ! [V_n] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power2__diff,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_odd__power__less__zero,axiom,
% 183.74/183.82 ! [V_n,V_a,T_a] :
% 183.74/183.82 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__minus1__odd,axiom,
% 183.74/183.82 ! [V_n,T_a] :
% 183.74/183.82 ( class_Rings_Oring__1(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__m1__even,axiom,
% 183.74/183.82 ! [V_n,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_power__m1__odd,axiom,
% 183.74/183.82 ! [V_n,T_a] :
% 183.74/183.82 ( class_Int_Onumber__ring(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 183.74/183.82 ! [V_n] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_of__nat__double,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Rings_Osemiring__1(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.74/183.82 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_int__of__code,axiom,
% 183.74/183.82 ! [V_k] :
% 183.74/183.82 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.82 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.82 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.82 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.82 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 183.74/183.82 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.82 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_one__code__numeral__code,axiom,
% 183.74/183.82 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_minus__Max__eq__Min,axiom,
% 183.74/183.82 ! [V_S_2,T_b] :
% 183.74/183.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.82 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_minus__Min__eq__Max,axiom,
% 183.74/183.82 ! [V_S_2,T_b] :
% 183.74/183.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.82 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I18_J,axiom,
% 183.74/183.82 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 183.74/183.82 => 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) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_UnCI,axiom,
% 183.74/183.82 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 183.74/183.82 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_UnE,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__iff,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.82 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_UnI1,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_UnI2,axiom,
% 183.74/183.82 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__supE,axiom,
% 183.74/183.82 ! [V_x,V_b,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( 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))
% 183.74/183.82 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.74/183.82 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__mono,axiom,
% 183.74/183.82 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.74/183.82 => 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))) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__least,axiom,
% 183.74/183.82 ! [V_z,V_x,V_y,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__supI,axiom,
% 183.74/183.82 ! [V_b,V_x,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__absorb1,axiom,
% 183.74/183.82 ! [V_x,V_y,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__absorb2,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__supI2,axiom,
% 183.74/183.82 ! [V_a,V_b,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__supI1,axiom,
% 183.74/183.82 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__sup__iff,axiom,
% 183.74/183.82 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.82 => ( 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))
% 183.74/183.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.74/183.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_le__iff__sup,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.74/183.82 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__ge2,axiom,
% 183.74/183.82 ! [V_x,V_y,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__ord_I4_J,axiom,
% 183.74/183.82 ! [V_x,V_y,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__ge1,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__ord_I3_J,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_code__numeral__zero__minus__one,axiom,
% 183.74/183.82 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__apply,axiom,
% 183.74/183.82 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.82 ( class_Lattices_Olattice(T_b)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__assoc,axiom,
% 183.74/183.82 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__aci_I6_J,axiom,
% 183.74/183.82 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup_Oassoc,axiom,
% 183.74/183.82 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__left__commute,axiom,
% 183.74/183.82 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__aci_I7_J,axiom,
% 183.74/183.82 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup_Oleft__commute,axiom,
% 183.74/183.82 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__left__idem,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__aci_I8_J,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup_Oleft__idem,axiom,
% 183.74/183.82 ! [V_b,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__commute,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_inf__sup__aci_I5_J,axiom,
% 183.74/183.82 ! [V_y,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup_Ocommute,axiom,
% 183.74/183.82 ! [V_b,V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__idem,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup_Oidem,axiom,
% 183.74/183.82 ! [V_a,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ball__Un,axiom,
% 183.74/183.82 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( ! [B_x] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.82 <=> ( ! [B_x] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.82 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.82 & ! [B_x] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.74/183.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_bex__Un,axiom,
% 183.74/183.82 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( ? [B_x] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.82 <=> ( ? [B_x] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.82 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.82 | ? [B_x] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.74/183.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__assoc,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__left__commute,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__left__absorb,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__commute,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__absorb,axiom,
% 183.74/183.82 ! [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 ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Sup__fin_Oidem,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Olattice(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__bot__left,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__bot__right,axiom,
% 183.74/183.82 ! [V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__eq__bot__iff,axiom,
% 183.74/183.82 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.82 ( class_Lattices_Obounded__lattice__bot(T_b)
% 183.74/183.82 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 183.74/183.82 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 183.74/183.82 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__supI2,axiom,
% 183.74/183.82 ! [V_a,V_b,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_less__supI1,axiom,
% 183.74/183.82 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_a)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__empty,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( 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))
% 183.74/183.82 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__empty__right,axiom,
% 183.74/183.82 ! [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 ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__empty__left,axiom,
% 183.74/183.82 ! [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 ).
% 183.74/183.82
% 183.74/183.82 fof(fact_finite__UnI,axiom,
% 183.74/183.82 ! [V_G_2,V_F_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_finite__Un,axiom,
% 183.74/183.82 ! [V_G_2,V_F_2,T_b] :
% 183.74/183.82 ( 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)))
% 183.74/183.82 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.74/183.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__insert__left,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__insert__right,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__mono,axiom,
% 183.74/183.82 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__least,axiom,
% 183.74/183.82 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__absorb2,axiom,
% 183.74/183.82 ! [V_A_2,V_B_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__absorb1,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_subset__Un__eq,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.82 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__upper2,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__upper1,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_image__Un,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__Diff,axiom,
% 183.74/183.82 ! [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)) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__Diff__cancel2,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__Diff__cancel,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Un__Pow__subset,axiom,
% 183.74/183.82 ! [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)))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2] :
% 183.74/183.82 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.82 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_fun__left__comm__idem__sup,axiom,
% 183.74/183.82 ! [T_b] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.82 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_insert__is__Un,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_union__fold__insert,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I17_J,axiom,
% 183.74/183.82 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.82 => 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) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Diff__partition,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.82 => 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 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Diff__subset__conv,axiom,
% 183.74/183.82 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( 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))
% 183.74/183.82 <=> 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Compl__Diff__eq,axiom,
% 183.74/183.82 ! [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) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Max_Osingleton,axiom,
% 183.74/183.82 ! [V_x_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => 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 ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.82 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.82 => 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)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2] :
% 183.74/183.82 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.82 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.82 => 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))) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_fold__sup__insert,axiom,
% 183.74/183.82 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => 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)) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I21_J,axiom,
% 183.74/183.82 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.82 => 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) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_atLeastLessThan__add__Un,axiom,
% 183.74/183.82 ! [V_k_2,V_j_2,V_i_2] :
% 183.74/183.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.74/183.82 => 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))) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I8_J,axiom,
% 183.74/183.82 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Max__ge,axiom,
% 183.74/183.82 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.82 => 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))) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Max__in,axiom,
% 183.74/183.82 ! [V_A_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_zero__code__numeral__code,axiom,
% 183.74/183.82 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.74/183.82 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Pow__insert,axiom,
% 183.74/183.82 ! [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))) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_sup__le__fold__sup,axiom,
% 183.74/183.82 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.82 => 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))) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_fold1__Un2,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Min__Un,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 183.74/183.82 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => 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)) ) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I15_J,axiom,
% 183.74/183.82 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.82 => 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) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I2_J,axiom,
% 183.74/183.82 ! [V_u_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => 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) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I10_J,axiom,
% 183.74/183.82 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I7_J,axiom,
% 183.74/183.82 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_Max__mono,axiom,
% 183.74/183.82 ! [V_N_2,V_M_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 183.74/183.82 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.82 => 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))) ) ) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I6_J,axiom,
% 183.74/183.82 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.82 fof(fact_ivl__disj__un_I3_J,axiom,
% 183.74/183.82 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.82 ( class_Orderings_Olinorder(T_b)
% 183.74/183.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.74/183.82 => 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) ) ) ).
% 183.74/183.82
% 183.74/183.83 fof(fact_nat__of__aux__code,axiom,
% 183.74/183.83 ! [V_n,V_i] :
% 183.74/183.83 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.83 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 183.74/183.83 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup1E,axiom,
% 183.74/183.83 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 183.74/183.83 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup1CI,axiom,
% 183.74/183.83 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 183.74/183.83 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 183.74/183.83 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osize_I1_J,axiom,
% 183.74/183.83 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I19_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__greaterThanAtMost,axiom,
% 183.74/183.83 ! [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))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__greaterThanAtMost__int,axiom,
% 183.74/183.83 ! [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))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_greaterThanAtMost__empty,axiom,
% 183.74/183.83 ! [V_k_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 183.74/183.83 ! [V_l_2,V_k_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => ( 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))
% 183.74/183.83 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 183.74/183.83 ! [V_l_2,V_k_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => ( 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)
% 183.74/183.83 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I20_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__greaterThanAtMost,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_eq__mem,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 183.74/183.83 <=> V_x_2 = V_y_2 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_predicate1D,axiom,
% 183.74/183.83 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 183.74/183.83 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.83 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_rev__predicate1D,axiom,
% 183.74/183.83 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.83 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 183.74/183.83 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup1I2,axiom,
% 183.74/183.83 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 183.74/183.83 ( hBOOL(hAPP(V_B_2,V_x_2))
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup1I1,axiom,
% 183.74/183.83 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 183.74/183.83 ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I22_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_image__uminus__atLeastLessThan,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I9_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__greaterThanAtMost__int,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I16_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I5_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__un_I4_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osize_I2_J,axiom,
% 183.74/183.83 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oremove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Powp__mono,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osize_I3_J,axiom,
% 183.74/183.83 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Oinject,axiom,
% 183.74/183.83 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 183.74/183.83 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 183.74/183.83 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 183.74/183.83 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 183.74/183.83 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Osingleton,axiom,
% 183.74/183.83 ! [V_x_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osize_I4_J,axiom,
% 183.74/183.83 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oin__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_OF__eq,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Suc__code__numeral__minus__one,axiom,
% 183.74/183.83 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Osubset__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Ounion__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oinsert,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => 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 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Oclosed,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( ! [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))))))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Ohom__commute,axiom,
% 183.74/183.83 ! [V_N_2,V_h_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( ! [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))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.83 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oremove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fold__sup,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__0R,axiom,
% 183.74/183.83 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__0L,axiom,
% 183.74/183.83 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 183.74/183.83 ! [V_x,V_z,V_y,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 183.74/183.83 ! [V_x,V_z,V_y,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__inf__absorb,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__max__iff__disj,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( 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)))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 183.74/183.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__maxI1,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__maxI2,axiom,
% 183.74/183.83 ! [V_x,V_y,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__iff__sup,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.74/183.83 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__sup__iff,axiom,
% 183.74/183.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( 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))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.74/183.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__supI1,axiom,
% 183.74/183.83 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__supI2,axiom,
% 183.74/183.83 ! [V_a,V_b,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__absorb2,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.83 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__absorb1,axiom,
% 183.74/183.83 ! [V_x,V_y,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.74/183.83 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__supI,axiom,
% 183.74/183.83 ! [V_b,V_x,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__least,axiom,
% 183.74/183.83 ! [V_z,V_x,V_y,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__mono,axiom,
% 183.74/183.83 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ole__supE,axiom,
% 183.74/183.83 ! [V_x,V_b,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( 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))
% 183.74/183.83 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.74/183.83 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__less__iff__conj,axiom,
% 183.74/183.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( 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))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 183.74/183.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_less__max__iff__disj,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( 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)))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 183.74/183.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oless__supI1,axiom,
% 183.74/183.83 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oless__supI2,axiom,
% 183.74/183.83 ! [V_a,V_b,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oidem,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup_Oidem,axiom,
% 183.74/183.83 ! [V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup_Ocommute,axiom,
% 183.74/183.83 ! [V_b,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__commute,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 183.74/183.83 ! [V_b,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__left__idem,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 183.74/183.83 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__left__commute,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup_Oassoc,axiom,
% 183.74/183.83 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__assoc,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__Suc__Suc,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__add__distrib__left,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__diff__distrib__left,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__max,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.83 & class_Orderings_Olinorder(T_b) )
% 183.74/183.83 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__number__of,axiom,
% 183.74/183.83 ! [V_v,V_u,T_b] :
% 183.74/183.83 ( ( class_Int_Onumber(T_b)
% 183.74/183.83 & class_Orderings_Oord(T_b) )
% 183.74/183.83 => ( ( 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)))
% 183.74/183.83 => 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) )
% 183.74/183.83 & ( ~ 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)))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Odistrib__inf__le,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Odistrib__sup__le,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_a)
% 183.74/183.83 => 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)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_minus__max__eq__min,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Groups_Olinordered__ab__group__add(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_minus__min__eq__max,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Groups_Olinordered__ab__group__add(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_nat__minus__add__max,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__UnionD,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 183.74/183.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Ofold__sup__insert,axiom,
% 183.74/183.83 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oin__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_OF__eq,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 183.74/183.83 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max__insert,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Osubset__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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 ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max__Un,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__Sup__fold__sup,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin__Sup,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oinsert,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oinsert__remove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oeq__fold_H,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 183.74/183.83 ! [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 ).
% 183.74/183.83
% 183.74/183.83 fof(fact_UnionI,axiom,
% 183.74/183.83 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__binary,axiom,
% 183.74/183.83 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__eq__Union,axiom,
% 183.74/183.83 ! [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))))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__insert,axiom,
% 183.74/183.83 ! [V_A_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__singleton,axiom,
% 183.74/183.83 ! [V_a_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__nat__def,axiom,
% 183.74/183.83 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__Pow__eq,axiom,
% 183.74/183.83 ! [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 ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__upper,axiom,
% 183.74/183.83 ! [V_A_2,V_B_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__le__iff,axiom,
% 183.74/183.83 ! [V_b_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => ( 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))
% 183.74/183.83 <=> ! [B_x] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_less__Sup__iff,axiom,
% 183.74/183.83 ! [V_S_2,V_a_2,T_b] :
% 183.74/183.83 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 & class_Orderings_Olinorder(T_b) )
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 183.74/183.83 <=> ? [B_x] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__empty,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__mono,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__insert,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_subset__Pow__Union,axiom,
% 183.74/183.83 ! [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)))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__Un__distrib,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__upper,axiom,
% 183.74/183.83 ! [V_A_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__empty,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_max__ord__max,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( class_Orderings_Oord(T_b)
% 183.74/183.83 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Oclosed,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( ! [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))))))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__Union,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 183.74/183.83 => ( ! [B_M] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 183.74/183.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 183.74/183.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OInf__le__Sup,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 183.74/183.83 ! [V_x_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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 ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => 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 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( ! [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))))))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 183.74/183.83 ! [V_N_2,V_h_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( ! [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))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.83 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Ohom__commute,axiom,
% 183.74/183.83 ! [V_N_2,V_h_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( ! [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))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.83 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum__Un__nat,axiom,
% 183.74/183.83 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf1E,axiom,
% 183.74/183.83 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.74/183.83 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf1I,axiom,
% 183.74/183.83 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 183.74/183.83 ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.74/183.83 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_IntE,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.83 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_IntI,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__Int,axiom,
% 183.74/183.83 ! [V_G_2,V_F_2,T_b] :
% 183.74/183.83 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.74/183.83 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__Un__distrib,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__Int__distrib,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__Un__distrib2,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__Int__distrib2,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__Int__crazy,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__absorb,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__inf__absorb,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__distrib1,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Odistrib__lattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__inf__distrib1,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Odistrib__lattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__distrib2,axiom,
% 183.74/183.83 ! [V_x,V_z,V_y,T_a] :
% 183.74/183.83 ( class_Lattices_Odistrib__lattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__inf__distrib2,axiom,
% 183.74/183.83 ! [V_x,V_z,V_y,T_a] :
% 183.74/183.83 ( class_Lattices_Odistrib__lattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf1D2,axiom,
% 183.74/183.83 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf1D1,axiom,
% 183.74/183.83 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Int__distrib,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__Diff,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Int__distrib2,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Int2,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__iff,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.83 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_IntD1,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_IntD2,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__min,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 & class_Orderings_Olinorder(T_b) )
% 183.74/183.83 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__infE,axiom,
% 183.74/183.83 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( 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)))
% 183.74/183.83 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.74/183.83 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__mono,axiom,
% 183.74/183.83 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__greatest,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__infI,axiom,
% 183.74/183.83 ! [V_b,V_a,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__absorb2,axiom,
% 183.74/183.83 ! [V_x,V_y,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__absorb1,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__infI2,axiom,
% 183.74/183.83 ! [V_a,V_x,V_b,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__infI1,axiom,
% 183.74/183.83 ! [V_b,V_x,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__inf__iff,axiom,
% 183.74/183.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( 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)))
% 183.74/183.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.74/183.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_le__iff__inf,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.74/183.83 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__le2,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__ord_I2_J,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__le1,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__ord_I1_J,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__apply,axiom,
% 183.74/183.83 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__assoc,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__aci_I2_J,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf_Oassoc,axiom,
% 183.74/183.83 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__left__commute,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__aci_I3_J,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf_Oleft__commute,axiom,
% 183.74/183.83 ! [V_c,V_a,V_b,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__left__idem,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__aci_I4_J,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf_Oleft__idem,axiom,
% 183.74/183.83 ! [V_b,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__commute,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__sup__aci_I1_J,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf_Ocommute,axiom,
% 183.74/183.83 ! [V_b,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__idem,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf_Oidem,axiom,
% 183.74/183.83 ! [V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__assoc,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__left__commute,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__left__absorb,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__commute,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__absorb,axiom,
% 183.74/183.83 ! [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 ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oidem,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Pow__Int__eq,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__bot__left,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__bot__right,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_less__infI2,axiom,
% 183.74/183.83 ! [V_a,V_x,V_b,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_less__infI1,axiom,
% 183.74/183.83 ! [V_b,V_x,V_a,T_a] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_a)
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__lower1,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__lower2,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__absorb2,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__absorb1,axiom,
% 183.74/183.83 ! [V_A_2,V_B_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__greatest,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__mono,axiom,
% 183.74/183.83 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_insert__inter__insert,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__empty__left,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__empty__right,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_disjoint__iff__not__equal,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 <=> ! [B_x] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.83 => ! [B_xa] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 183.74/183.83 => B_x != B_xa ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__Int__subset,axiom,
% 183.74/183.83 ! [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)))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2] :
% 183.74/183.83 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.83 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fun__left__comm__idem__inf,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_distrib__inf__le,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_distrib__sup__le,axiom,
% 183.74/183.83 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Olattice(T_a)
% 183.74/183.83 => 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)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__compl__bot,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_compl__inf__bot,axiom,
% 183.74/183.83 ! [V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_diff__eq,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_compl__inf,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_compl__sup,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__left__if1,axiom,
% 183.74/183.83 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__right__if1,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__left__if0,axiom,
% 183.74/183.83 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.74/183.83 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__right__if0,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.74/183.83 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__left,axiom,
% 183.74/183.83 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.74/183.83 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.74/183.83 => 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)) )
% 183.74/183.83 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__insert__right,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.74/183.83 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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)) )
% 183.74/183.83 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_image__Int__subset,axiom,
% 183.74/183.83 ! [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)))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__disjoint,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__triv,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__Int__assoc__eq,axiom,
% 183.74/183.83 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__Diff__Int,axiom,
% 183.74/183.83 ! [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 ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Un,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Int,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I11_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 183.74/183.83 ! [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))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Compl__disjoint2,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Compl__disjoint,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Union__disjoint,axiom,
% 183.74/183.83 ! [V_A_2,V_C_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 <=> ! [B_x] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Compl__Int,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Compl__Un,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__eq,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Diff__Compl,axiom,
% 183.74/183.83 ! [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) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I14_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2] :
% 183.74/183.83 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.83 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__inf__insert,axiom,
% 183.74/183.83 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__Sup__absorb,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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 ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_disjoint__eq__subset__Compl,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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))
% 183.74/183.83 <=> 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I15_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__atLeastAtMost,axiom,
% 183.74/183.83 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__atLeastLessThan,axiom,
% 183.74/183.83 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I4_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I2_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I16_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I12_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I13_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__greaterThanAtMost,axiom,
% 183.74/183.83 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I9_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__greaterThanLessThan,axiom,
% 183.74/183.83 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__atLeastAtMostL1,axiom,
% 183.74/183.83 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Int__atLeastAtMostR1,axiom,
% 183.74/183.83 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I3_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I1_J,axiom,
% 183.74/183.83 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_ivl__disj__int_I10_J,axiom,
% 183.74/183.83 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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)) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__inf__le__inf,axiom,
% 183.74/183.83 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold1__belowI,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_below__fold1__iff,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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)))
% 183.74/183.83 <=> ! [B_x] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum__Un__Int,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod_Ounion__inter,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod__Un__Int,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__Un__Int,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__Diff__subset__Int,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__one_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__one_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum__Un__disjoint,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum__Un,axiom,
% 183.74/183.83 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Oab__group__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod__Un__disjoint,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__Un__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold1__Un,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Groups_Oab__semigroup__mult(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Min_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Min_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Max_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card_Ounion__inter__neutral,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( ( ? [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)))
% 183.74/183.83 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod__Un,axiom,
% 183.74/183.83 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Fields_Ofield(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 183.74/183.83 => 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))) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod__Un__one,axiom,
% 183.74/183.83 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_inf__nat__def,axiom,
% 183.74/183.83 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum__Un__zero,axiom,
% 183.74/183.83 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oremove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_insert__partition,axiom,
% 183.74/183.83 ! [V_F_2,V_x_2,T_b] :
% 183.74/183.83 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => ! [B_xa] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => ( B_x != B_xa
% 183.74/183.83 => 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)) ) ) )
% 183.74/183.83 => 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)) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Osingleton,axiom,
% 183.74/183.83 ! [V_x_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => 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 ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_sup__Inf__absorb,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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 ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oin__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_OF__eq,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Osubset__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Ounion__idem,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__le__Sup,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 183.74/183.83 ! [V_a_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oinsert,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ( hAPP(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))
% 183.74/183.83 => 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 )
% 183.74/183.83 & ( hAPP(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))
% 183.74/183.83 => 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)))))) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Ounion__inter,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 183.74/183.83 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Oclosed,axiom,
% 183.74/183.83 ! [V_A_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => ( ! [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))))))
% 183.74/183.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__Un__disjoint,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => ( 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))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Inf__fin_Ohom__commute,axiom,
% 183.74/183.83 ! [V_N_2,V_h_2,T_b] :
% 183.74/183.83 ( class_Lattices_Olattice(T_b)
% 183.74/183.83 => ( ! [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))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.83 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_card__partition,axiom,
% 183.74/183.83 ! [V_k_2,V_C_2,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 183.74/183.83 => ( ! [B_c] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 183.74/183.83 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 183.74/183.83 => ( ! [B_c1] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 183.74/183.83 => ! [B_c2] :
% 183.74/183.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 183.74/183.83 => ( B_c1 != B_c2
% 183.74/183.83 => 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)) ) ) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__image__empty,axiom,
% 183.74/183.83 ! [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 ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 183.74/183.83 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_comm__monoid__big_OF__eq,axiom,
% 183.74/183.83 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.74/183.83 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => 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) )
% 183.74/183.83 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__image__insert,axiom,
% 183.74/183.83 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Oab__semigroup__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.83 => 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)) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum_OF__eq,axiom,
% 183.74/183.83 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) )
% 183.74/183.83 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setsum_Oeq__fold,axiom,
% 183.74/183.83 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod_OF__eq,axiom,
% 183.74/183.83 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) )
% 183.74/183.83 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_setprod_Oeq__fold,axiom,
% 183.74/183.83 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => 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) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__image__Un__Int,axiom,
% 183.74/183.83 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.83 => 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))) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_fold__image__Un__one,axiom,
% 183.74/183.83 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 183.74/183.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_atMost__Int__atLeast,axiom,
% 183.74/183.83 ! [V_na_2,T_b] :
% 183.74/183.83 ( class_Orderings_Oorder(T_b)
% 183.74/183.83 => 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))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_compl__unique,axiom,
% 183.74/183.83 ! [V_y,V_x,T_a] :
% 183.74/183.83 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 183.74/183.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 183.74/183.83 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 183.74/183.83 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.83 => ( ! [B_x] :
% 183.74/183.83 ( 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)))
% 183.74/183.83 => hAPP(V_g_2,B_x) = V_z_2 )
% 183.74/183.83 => 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)) ) ) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_UNIV__I,axiom,
% 183.74/183.83 ! [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)))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__UNIV__right,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Un__UNIV__left,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__Plus__UNIV__iff,axiom,
% 183.74/183.83 ! [T_c,T_b] :
% 183.74/183.83 ( 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))))
% 183.74/183.83 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.83 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__UNIV,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( class_Finite__Set_Ofinite(T_b)
% 183.74/183.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_subset__UNIV,axiom,
% 183.74/183.83 ! [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)))) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__Prod__UNIV,axiom,
% 183.74/183.83 ! [T_c,T_b] :
% 183.74/183.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 183.74/183.83 => 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)))) ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_finite__option__UNIV,axiom,
% 183.74/183.83 ! [T_b] :
% 183.74/183.83 ( 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))))
% 183.74/183.83 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_top__apply,axiom,
% 183.74/183.83 ! [V_x_2,T_c,T_b] :
% 183.74/183.83 ( class_Orderings_Otop(T_b)
% 183.74/183.83 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_UNIV__Plus__UNIV,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_atLeast__eq__iff,axiom,
% 183.74/183.83 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.83 ( class_Orderings_Olinorder(T_b)
% 183.74/183.83 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 183.74/183.83 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.83
% 183.74/183.83 fof(fact_Pow__UNIV,axiom,
% 183.74/183.83 ! [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)) ).
% 183.74/183.83
% 183.74/183.84 fof(fact_UNIV__not__empty,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__fun__UNIVD2,axiom,
% 183.74/183.84 ! [T_c,T_b] :
% 183.74/183.84 ( 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))))
% 183.74/183.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_atLeast__0,axiom,
% 183.74/183.84 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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card__UNIV__unit,axiom,
% 183.74/183.84 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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Sup__UNIV,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Union__UNIV,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Int__UNIV__left,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Int__UNIV__right,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_infinite__UNIV__nat,axiom,
% 183.74/183.84 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_infinite__UNIV__int,axiom,
% 183.74/183.84 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_top__greatest,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Orderings_Otop(T_a)
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__top__right,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__top__left,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__eq__top__iff,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Lattices_Obounded__lattice__top(T_b)
% 183.74/183.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 183.74/183.84 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 183.74/183.84 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__top__right,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.74/183.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__top__left,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.74/183.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_range__eqI,axiom,
% 183.74/183.84 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 183.74/183.84 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_rangeI,axiom,
% 183.74/183.84 ! [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))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Diff__UNIV,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.84 => ( 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)))
% 183.74/183.84 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__UNIV__eq,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__empty__eq,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__compl,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.74/183.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__partition,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__partition2,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_atLeast__iff,axiom,
% 183.74/183.84 ! [V_k_2,V_i_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oord(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_atLeast__subset__iff,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oorder(T_b)
% 183.74/183.84 => ( 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)))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_compl__bot__eq,axiom,
% 183.74/183.84 ! [T_a] :
% 183.74/183.84 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_compl__top__eq,axiom,
% 183.74/183.84 ! [T_a] :
% 183.74/183.84 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__compl__top,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_compl__sup__top,axiom,
% 183.74/183.84 ! [V_x,T_a] :
% 183.74/183.84 ( class_Lattices_Oboolean__algebra(T_a)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_surj__Compl__image__subset,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__atLeast,axiom,
% 183.74/183.84 ! [V_k_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__lessThan,axiom,
% 183.74/183.84 ! [V_k_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__UNIV__card__ge__0,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card__UNIV__bool,axiom,
% 183.74/183.84 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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__un_I14_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__int_I8_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oorder(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Int__atLeastAtMostR2,axiom,
% 183.74/183.84 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Int__atLeastAtMostL2,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__int_I6_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oorder(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__uminus__atLeast,axiom,
% 183.74/183.84 ! [V_x_2,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__uminus__atMost,axiom,
% 183.74/183.84 ! [V_x_2,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_atLeast__Suc,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__fun__UNIVD1,axiom,
% 183.74/183.84 ! [T_c,T_b] :
% 183.74/183.84 ( 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))))
% 183.74/183.84 => ( 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))
% 183.74/183.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__un_I12_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__un_I13_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__un_I1_J,axiom,
% 183.74/183.84 ! [V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_top1I,axiom,
% 183.74/183.84 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_greaterThan__eq__iff,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 183.74/183.84 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_atLeast__Suc__greaterThan,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_greaterThan__iff,axiom,
% 183.74/183.84 ! [V_k_2,V_i_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oord(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_greaterThan__subset__iff,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( 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)))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__greaterThan,axiom,
% 183.74/183.84 ! [V_k_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Compl__atMost,axiom,
% 183.74/183.84 ! [V_k_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__int_I7_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oorder(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_greaterThan__0,axiom,
% 183.74/183.84 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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__un_I11_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__uminus__lessThan,axiom,
% 183.74/183.84 ! [V_x_2,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__uminus__greaterThan,axiom,
% 183.74/183.84 ! [V_x_2,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_ivl__disj__int_I5_J,axiom,
% 183.74/183.84 ! [V_u_2,V_l_2,T_b] :
% 183.74/183.84 ( class_Orderings_Oorder(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_greaterThan__Suc,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_iso__tuple__UNIV__I,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__fold__inf,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fold__image__1,axiom,
% 183.74/183.84 ! [V_f_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.84 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.74/183.84 => 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) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__Inter,axiom,
% 183.74/183.84 ! [V_M_2,T_b] :
% 183.74/183.84 ( ? [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 183.74/183.84 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 183.74/183.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_InterE,axiom,
% 183.74/183.84 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_InterD,axiom,
% 183.74/183.84 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_le__Inf__iff,axiom,
% 183.74/183.84 ! [V_A_2,V_b_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => ( 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)))
% 183.74/183.84 <=> ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__less__iff,axiom,
% 183.74/183.84 ! [V_a_2,V_S_2,T_b] :
% 183.74/183.84 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 & class_Orderings_Olinorder(T_b) )
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 183.74/183.84 <=> ? [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__lower,axiom,
% 183.74/183.84 ! [V_A_2,V_B_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__anti__mono,axiom,
% 183.74/183.84 ! [V_A_2,V_B_2,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__empty,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__insert,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__UNIV,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__lower,axiom,
% 183.74/183.84 ! [V_A_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__Un__distrib,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__singleton,axiom,
% 183.74/183.84 ! [V_a_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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 ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__empty,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__UNIV,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__insert,axiom,
% 183.74/183.84 ! [V_A_2,V_a_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Int__eq__Inter,axiom,
% 183.74/183.84 ! [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))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__Un__subset,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__binary,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__Inf__fold__inf,axiom,
% 183.74/183.84 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inf__fin__Inf,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.84 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__induct__0,axiom,
% 183.74/183.84 ! [V_i_2,V_Pa_2,V_p_2] :
% 183.74/183.84 ( ! [B_i] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 183.74/183.84 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 183.74/183.84 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 183.74/183.84 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 183.74/183.84 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fold__image__cong,axiom,
% 183.74/183.84 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Oab__semigroup__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 183.74/183.84 => 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) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Max__eqI,axiom,
% 183.74/183.84 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( ! [B_y] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.84 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__le__fold__inf,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 183.74/183.84 ( class_Lattices_Osemilattice__inf(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Inter__subset,axiom,
% 183.74/183.84 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.84 ( ! [B_X] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 183.74/183.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_InterI,axiom,
% 183.74/183.84 ! [V_A_2,V_C_2,T_b] :
% 183.74/183.84 ( ! [B_X] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fold__sup__le__sup,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 183.74/183.84 ( class_Lattices_Osemilattice__sup(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__ivl__cong,axiom,
% 183.74/183.84 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.84 & class_Orderings_Oord(T_b) )
% 183.74/183.84 => ( V_a_2 = V_c_2
% 183.74/183.84 => ( V_b_2 = V_d_2
% 183.74/183.84 => ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 183.74/183.84 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 183.74/183.84 => 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)) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__intermed__int__val,axiom,
% 183.74/183.84 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 183.74/183.84 ( ! [B_i] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 183.74/183.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 183.74/183.84 => ? [B_i] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 183.74/183.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_log_Osimps,axiom,
% 183.74/183.84 ! [V_i,V_b] :
% 183.74/183.84 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 183.74/183.84 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 183.74/183.84 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 183.74/183.84 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__div__decomp,axiom,
% 183.74/183.84 ! [V_b,V_a,T_a] :
% 183.74/183.84 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.84 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_UnionE,axiom,
% 183.74/183.84 ! [V_C_2,V_A_2,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ~ ! [B_X] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 183.74/183.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_minus__shift__def,axiom,
% 183.74/183.84 ! [V_r,V_l,V_k] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.74/183.84 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.74/183.84 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inc__shift__def,axiom,
% 183.74/183.84 ! [V_k,V_v] :
% 183.74/183.84 ( ( V_v = V_k
% 183.74/183.84 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 183.74/183.84 & ( V_v != V_k
% 183.74/183.84 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_subtract__code__numeral__def,axiom,
% 183.74/183.84 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_minus__code__numeral__code,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_arith__series__int,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( 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))))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ 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))))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat_Osize_I2_J,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_diff__nat__number__of,axiom,
% 183.74/183.84 ! [V_v_2,V_v_H_2] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__abs,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__abs__ge__zero,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card__eq__setsum,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 183.74/183.84 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat_Osize_I1_J,axiom,
% 183.74/183.84 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__Int__eq2,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__Int__eq,axiom,
% 183.74/183.84 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf__fun__def,axiom,
% 183.74/183.84 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Lattices_Olattice(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__0,axiom,
% 183.74/183.84 ! [V_A_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__1,axiom,
% 183.74/183.84 ! [V_A_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_int__setprod,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__negf,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__Compl__def,axiom,
% 183.74/183.84 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ouminus(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__int__setprod,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.74/183.84 & class_Rings_Oring__1(T_b) )
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__int__setsum,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Rings_Oring__1(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__upd__def,axiom,
% 183.74/183.84 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 183.74/183.84 ( ( V_x_2 = V_a_2
% 183.74/183.84 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 183.74/183.84 & ( V_x_2 != V_a_2
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 183.74/183.84 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.84 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 183.74/183.84 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.84 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__timesf,axiom,
% 183.74/183.84 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_abs__setprod,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Fields_Olinordered__field(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__commute,axiom,
% 183.74/183.84 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__product,axiom,
% 183.74/183.84 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__0(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__left__distrib,axiom,
% 183.74/183.84 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__0(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__right__distrib,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__0(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_abs__setsum__abs,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__divide__distrib,axiom,
% 183.74/183.84 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Fields_Ofield(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_int__setsum,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__ident,axiom,
% 183.74/183.84 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__image,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_bot__fun__def,axiom,
% 183.74/183.84 ! [V_x_2,T_c,T_b] :
% 183.74/183.84 ( class_Orderings_Obot(T_b)
% 183.74/183.84 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pred__equals__eq,axiom,
% 183.74/183.84 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.84 ( 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)
% 183.74/183.84 <=> V_R_2 = V_S_2 ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pred__equals__eq2,axiom,
% 183.74/183.84 ! [V_S_2,V_R_2,T_c,T_b] :
% 183.74/183.84 ( 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)
% 183.74/183.84 <=> V_R_2 = V_S_2 ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_bot__empty__eq,axiom,
% 183.74/183.84 ! [V_x_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_bot__empty__eq2,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__Un__eq,axiom,
% 183.74/183.84 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__Un__eq2,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup__fun__def,axiom,
% 183.74/183.84 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Lattices_Olattice(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__constant__conv,axiom,
% 183.74/183.84 ! [V_c_2,T_c,T_b,V_A_2] :
% 183.74/183.84 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fold__image__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 183.74/183.84 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__nat__setsum,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod_Odistrib,axiom,
% 183.74/183.84 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__dividef,axiom,
% 183.74/183.84 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Fields_Ofield__inverse__zero(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__diff__def,axiom,
% 183.74/183.84 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ominus(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__subtractf,axiom,
% 183.74/183.84 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_range__composition,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_finite__range__imageI,axiom,
% 183.74/183.84 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 183.74/183.84 ( 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)))))
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum_Odistrib,axiom,
% 183.74/183.84 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 183.74/183.84 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_less__eq__Suc__le__raw,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__number__of__Bit0,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pred__subset__eq,axiom,
% 183.74/183.84 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pred__subset__eq2,axiom,
% 183.74/183.84 ! [V_S_2,V_R_2,T_c,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__addf,axiom,
% 183.74/183.84 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 183.74/183.84 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__nat__setprod,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.74/183.84 & class_Rings_Osemiring__1(T_b) )
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__add__atLeastLessThan,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__add__atLeastAtMost,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__delta_H,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__delta,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__constant,axiom,
% 183.74/183.84 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__delta,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__delta_H,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__constant,axiom,
% 183.74/183.84 ! [V_A_2,V_y_2,T_c,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_power__number__of__even,axiom,
% 183.74/183.84 ! [V_w_2,V_z_2,T_b] :
% 183.74/183.84 ( class_Int_Onumber__ring(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fold__image__distrib,axiom,
% 183.74/183.84 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_dual__max,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_dual__min,axiom,
% 183.74/183.84 ! [T_b] :
% 183.74/183.84 ( class_Orderings_Olinorder(T_b)
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__constant,axiom,
% 183.74/183.84 ! [V_y_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zpower__number__of__even,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__lessThan__Suc,axiom,
% 183.74/183.84 ! [V_na_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__atMost__Suc,axiom,
% 183.74/183.84 ! [V_na_2,V_f_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 183.74/183.84 ! [V_A_2,V_f_2,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__add__int__atLeastLessThan,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 183.74/183.84 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.84 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Powp__Pow__eq,axiom,
% 183.74/183.84 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__restrict__set,axiom,
% 183.74/183.84 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__eq__fold__image,axiom,
% 183.74/183.84 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_power__number__of__even__number__of,axiom,
% 183.74/183.84 ! [V_w_2,V_v_2,T_b] :
% 183.74/183.84 ( class_Int_Onumber__ring(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card_Oeq__fold__g,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_card__def,axiom,
% 183.74/183.84 ! [V_A_2,T_b] :
% 183.74/183.84 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fun__left__comm__idem__remove,axiom,
% 183.74/183.84 ! [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))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_diff__nat__eq__if,axiom,
% 183.74/183.84 ! [V_z_2,V_z_H_2] :
% 183.74/183.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__div__mod,axiom,
% 183.74/183.84 ! [V_l,V_k] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__minus1,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 183.74/183.84 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.84 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.84 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_adjust__eq,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__head,axiom,
% 183.74/183.84 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_minus__fold__remove,axiom,
% 183.74/183.84 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_eq__number__of__Suc,axiom,
% 183.74/183.84 ! [V_na_2,V_v_2] :
% 183.74/183.84 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 183.74/183.84 <=> 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Suc__eq__number__of,axiom,
% 183.74/183.84 ! [V_v_2,V_na_2] :
% 183.74/183.84 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 183.74/183.84 <=> 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__number__of__Bit1,axiom,
% 183.74/183.84 ! [V_w_2] :
% 183.74/183.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.74/183.84 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_geometric__sum,axiom,
% 183.74/183.84 ! [V_na_2,V_x_2,T_b] :
% 183.74/183.84 ( class_Fields_Ofield(T_b)
% 183.74/183.84 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_gauss__sum,axiom,
% 183.74/183.84 ! [V_na_2,T_b] :
% 183.74/183.84 ( class_Rings_Ocomm__semiring__1(T_b)
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setsum__natinterval__difff,axiom,
% 183.74/183.84 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 183.74/183.84 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.84 => 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)))) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.84 => 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) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_less__number__of__Suc,axiom,
% 183.74/183.84 ! [V_na_2,V_v_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_less__Suc__number__of,axiom,
% 183.74/183.84 ! [V_v_2,V_na_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_le__number__of__Suc,axiom,
% 183.74/183.84 ! [V_na_2,V_v_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_le__Suc__number__of,axiom,
% 183.74/183.84 ! [V_v_2,V_na_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_max__number__of__Suc,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_max__Suc__number__of,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_power__number__of__odd,axiom,
% 183.74/183.84 ! [V_z_2,V_w_2,T_b] :
% 183.74/183.84 ( class_Int_Onumber__ring(T_b)
% 183.74/183.84 => ( ( 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)))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_setprod__gen__delta,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 183.74/183.84 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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)))) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.74/183.84 => 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)) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 183.74/183.84 ! [V_x_2,V_y_2,V_c_2] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.84 => 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)) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zpower__number__of__odd,axiom,
% 183.74/183.84 ! [V_z_2,V_w_2] :
% 183.74/183.84 ( ( 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)))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_arith__series__general,axiom,
% 183.74/183.84 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 183.74/183.84 ( class_Rings_Ocomm__semiring__1(T_b)
% 183.74/183.84 => 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg_Osimps,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( ( ( 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)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ ( 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)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_min__number__of__Suc,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_min__Suc__number__of,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_arith__series__nat,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_power__number__of__odd__number__of,axiom,
% 183.74/183.84 ! [V_v_2,V_w_2,T_b] :
% 183.74/183.84 ( class_Int_Onumber__ring(T_b)
% 183.74/183.84 => ( ( 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)))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__eqn,axiom,
% 183.74/183.84 ! [V_a,V_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => ( ( 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)))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__eqn__number__of,axiom,
% 183.74/183.84 ! [V_w,V_v] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( 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))))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ 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))))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_norm__frac_Osimps,axiom,
% 183.74/183.84 ! [V_a_2,V_b_2] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.84 => 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))) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__case__add__eq__if,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( 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)))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg_Osimps,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup2CI,axiom,
% 183.74/183.84 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 183.74/183.84 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup2E,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf2I,axiom,
% 183.74/183.84 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf2E,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.74/183.84 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_bot2E,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_less__by__empty,axiom,
% 183.74/183.84 ! [V_B_2,T_b,V_A_2] :
% 183.74/183.84 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_predicate2D,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_rev__predicate2D,axiom,
% 183.74/183.84 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.74/183.84 => ( 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))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup2I2,axiom,
% 183.74/183.84 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_sup2I1,axiom,
% 183.74/183.84 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf2D1,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_inf2D2,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__case__0,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__case__Suc,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__0,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_max__Suc2,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_max__Suc1,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 183.74/183.84 ! [V_na_2,V_m_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 183.74/183.84 <=> 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_diff__Suc,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_min__Suc2,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_min__Suc1,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__div__mod,axiom,
% 183.74/183.84 ! [V_l,V_k] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__case__number__of,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__eqn,axiom,
% 183.74/183.84 ! [V_a,V_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__eqn__number__of,axiom,
% 183.74/183.84 ! [V_w,V_v] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( 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)))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ 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)))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_in__rel__def,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 183.74/183.84 <=> 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__mod__code__numeral__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Nitpick_Orefl_H__def,axiom,
% 183.74/183.84 ! [V_r_2,T_b] :
% 183.74/183.84 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 183.74/183.84 <=> ! [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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_adjust__def,axiom,
% 183.74/183.84 ! [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))))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pair__imageI,axiom,
% 183.74/183.84 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__int__num,axiom,
% 183.74/183.84 ! [V_k_2,T_b] :
% 183.74/183.84 ( class_Rings_Oring__1(T_b)
% 183.74/183.84 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 183.74/183.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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))) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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))))) ) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__step,axiom,
% 183.74/183.84 ! [V_m,V_n] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__rec__add__eq__if,axiom,
% 183.74/183.84 ! [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))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_prod__caseI,axiom,
% 183.74/183.84 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_splitI,axiom,
% 183.74/183.84 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mem__splitI,axiom,
% 183.74/183.84 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 183.74/183.84 => 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_splitD_H,axiom,
% 183.74/183.84 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_splitD,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__rec__0,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__rec__Suc,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__zero,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__if,axiom,
% 183.74/183.84 ! [V_m_2,V_na_2] :
% 183.74/183.84 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__paired__All,axiom,
% 183.74/183.84 ! [T_c,T_b,V_Pa_2] :
% 183.74/183.84 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.84 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Pair__eq,axiom,
% 183.74/183.84 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.84 ( 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)
% 183.74/183.84 <=> ( V_a_2 = V_a_H_2
% 183.74/183.84 & V_b_2 = V_b_H_2 ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Pair__inject,axiom,
% 183.74/183.84 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 183.74/183.84 ( 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)
% 183.74/183.84 => ~ ( V_a = V_a_H
% 183.74/183.84 => V_b != V_b_H ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__weak__cong,axiom,
% 183.74/183.84 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 183.74/183.84 ( V_p_2 = V_q_2
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__base,axiom,
% 183.74/183.84 ! [V_n,V_m] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.84 => 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) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__div__mod,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__mod__div,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__conv,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_prod_Osimps_I2_J,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__eta,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__twice,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__rec__number__of,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Nitpick_OFrac__def,axiom,
% 183.74/183.84 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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__def,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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))) ) ) ) ) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => 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))) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__pdivmod,axiom,
% 183.74/183.84 ! [V_l_2,V_k_2] :
% 183.74/183.84 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 183.74/183.84 ! [V_na_2,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negateSnd__def,axiom,
% 183.74/183.84 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_apsnd__conv,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 183.74/183.84 ! [V_i_2,V_inc_2,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.84 => 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 ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 183.74/183.84 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 183.74/183.84 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negateSnd__eq,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pdivmod__def,axiom,
% 183.74/183.84 ! [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))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pdivmod__posDivAlg,axiom,
% 183.74/183.84 ! [V_k,V_l] :
% 183.74/183.84 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__code,axiom,
% 183.74/183.84 ! [V_l_2,V_k_2] :
% 183.74/183.84 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 183.74/183.84 ! [V_c,V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 183.74/183.84 ! [V_a,V_r,V_q,V_c,V_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg_Opsimps,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( ( 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)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ ( 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)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zmult2__lemma,axiom,
% 183.74/183.84 ! [V_c,V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_accp__downward,axiom,
% 183.74/183.84 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 183.74/183.84 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_accp_Oequations,axiom,
% 183.74/183.84 ! [V_a_2,V_r_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 183.74/183.84 <=> ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 183.74/183.84 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_accp_Osimps,axiom,
% 183.74/183.84 ! [V_a_2,V_r_2,T_b] :
% 183.74/183.84 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 183.74/183.84 <=> ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 183.74/183.84 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel__unique,axiom,
% 183.74/183.84 ! [V_qr_H,V_qr,V_n,V_m] :
% 183.74/183.84 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 183.74/183.84 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 183.74/183.84 => V_qr = V_qr_H ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__eq,axiom,
% 183.74/183.84 ! [V_qr,V_n,V_m] :
% 183.74/183.84 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 183.74/183.84 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 183.74/183.84 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__0,axiom,
% 183.74/183.84 ! [V_b] :
% 183.74/183.84 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_self__remainder,axiom,
% 183.74/183.84 ! [V_r,V_q,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_unique__quotient,axiom,
% 183.74/183.84 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( 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)))
% 183.74/183.84 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => V_q = V_q_H ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_unique__remainder,axiom,
% 183.74/183.84 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( 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)))
% 183.74/183.84 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => V_r = V_r_H ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_accp__subset,axiom,
% 183.74/183.84 ! [V_R2_2,V_R1_2,T_b] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__neg,axiom,
% 183.74/183.84 ! [V_qr,V_b,V_a] :
% 183.74/183.84 ( 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))
% 183.74/183.84 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__correct,axiom,
% 183.74/183.84 ! [V_a,V_b] :
% 183.74/183.84 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__eq,axiom,
% 183.74/183.84 ! [V_r,V_q,V_n,V_m] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__eq,axiom,
% 183.74/183.84 ! [V_r,V_q,V_n,V_m] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_self__quotient,axiom,
% 183.74/183.84 ! [V_r,V_q,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__mod,axiom,
% 183.74/183.84 ! [V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__div,axiom,
% 183.74/183.84 ! [V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg__correct,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel,axiom,
% 183.74/183.84 ! [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)))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__div__mod,axiom,
% 183.74/183.84 ! [V_a,V_b] :
% 183.74/183.84 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg__correct,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zadd1__lemma,axiom,
% 183.74/183.84 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( 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)))
% 183.74/183.84 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zminus1__lemma,axiom,
% 183.74/183.84 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__relI,axiom,
% 183.74/183.84 ! [V_r,V_q,V_b,V_a] :
% 183.74/183.84 ( 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)
% 183.74/183.84 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.74/183.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.74/183.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.74/183.84 => 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))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_zmult1__lemma,axiom,
% 183.74/183.84 ! [V_a,V_r,V_q,V_c,V_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__int__rel__def,axiom,
% 183.74/183.84 ! [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))))))) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 183.74/183.84 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( 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)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.74/183.84 => 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)))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg_Opsimps,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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) )
% 183.74/183.84 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_norm__frac_Opsimps,axiom,
% 183.74/183.84 ! [V_b_2,V_a_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.84 => 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)) )
% 183.74/183.84 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.74/183.84 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.74/183.84 => 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))) ) ) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_negDivAlg_Opinduct,axiom,
% 183.74/183.84 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ! [B_a,B_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( ~ ( 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)))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 183.74/183.84 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.84 ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_posDivAlg_Opinduct,axiom,
% 183.74/183.84 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ! [B_a,B_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 183.74/183.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.74/183.84 => 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))) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__gcd_Opsimps,axiom,
% 183.74/183.84 ! [V_y_2,V_x_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.84 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 183.74/183.84 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.84 => 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)) ) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__pos__neg__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_in__measure,axiom,
% 183.74/183.84 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 <=> 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_snd__conv,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_snd__eqD,axiom,
% 183.74/183.84 ! [V_a,V_y,V_x,T_a,T_b] :
% 183.74/183.84 ( 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
% 183.74/183.84 => V_y = V_a ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_apsnd__eq__conv,axiom,
% 183.74/183.84 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 183.74/183.84 ( 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)
% 183.74/183.84 <=> 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_snd__apsnd,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_snd__def,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__int__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__neg__pos,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__pos__pos,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__pos__pos__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__pos__neg,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__neg__neg,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 183.74/183.84 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.84 ( ! [B_x] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.84 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 183.74/183.84 => 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)) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_norm__frac_Opinduct,axiom,
% 183.74/183.84 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ! [B_a,B_b] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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))) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__pos__neg__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => 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))))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_nat__gcd_Opinduct,axiom,
% 183.74/183.84 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ! [B_x,B_y] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 183.74/183.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_prod__eqI,axiom,
% 183.74/183.84 ! [V_q,V_p,T_b,T_a] :
% 183.74/183.84 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 183.74/183.84 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 183.74/183.84 => V_p = V_q ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_Pair__fst__snd__eq,axiom,
% 183.74/183.84 ! [T_c,T_b,V_t_2,V_s_2] :
% 183.74/183.84 ( V_s_2 = V_t_2
% 183.74/183.84 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 183.74/183.84 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fst__def,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fst__apsnd,axiom,
% 183.74/183.84 ! [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) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fst__eqD,axiom,
% 183.74/183.84 ! [V_a,V_y,V_x,T_b,T_a] :
% 183.74/183.84 ( 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
% 183.74/183.84 => V_x = V_a ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_fst__conv,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_pair__collapse,axiom,
% 183.74/183.84 ! [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 ).
% 183.74/183.84
% 183.74/183.84 fof(fact_surjective__pairing,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_prod__case__beta,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__int__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_mod__nat__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__beta,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__comp__eq,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_split__def,axiom,
% 183.74/183.84 ! [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)) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__neg__pos,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__pos__pos,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.74/183.84 => 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)) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__pos__pos__1__number__of,axiom,
% 183.74/183.84 ! [V_w] :
% 183.74/183.84 ( 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)))
% 183.74/183.84 => 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))) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__pos__neg,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_div__neg__neg,axiom,
% 183.74/183.84 ! [V_b,V_a] :
% 183.74/183.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.74/183.84 => 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)))) ) ) ).
% 183.74/183.84
% 183.74/183.84 fof(fact_prod__size__simp,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_conjI__realizer,axiom,
% 183.74/183.85 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 183.74/183.85 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 183.74/183.85 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 183.74/183.85 => ( 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))))
% 183.74/183.85 & 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)))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_exI__realizer,axiom,
% 183.74/183.85 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 183.74/183.85 => 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)))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_div__nat__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_divmod__nat__rel__def,axiom,
% 183.74/183.85 ! [V_qr_2,V_na_2,V_m_2] :
% 183.74/183.85 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 183.74/183.85 <=> ( 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))
% 183.74/183.85 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.85 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.85 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 & 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)) ) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 & 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))) ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_range,axiom,
% 183.74/183.85 ! [V_s,V_k] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mlex__leq,axiom,
% 183.74/183.85 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mlex__less,axiom,
% 183.74/183.85 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_nat_Osize_I4_J,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_prod_Orecs,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_in__lex__prod,axiom,
% 183.74/183.85 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ( 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))
% 183.74/183.85 | ( V_a_2 = V_a_H_2
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_nat__size,axiom,
% 183.74/183.85 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 183.74/183.85
% 183.74/183.85 fof(fact_nat_Osize_I3_J,axiom,
% 183.74/183.85 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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_same__fstI,axiom,
% 183.74/183.85 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 183.74/183.85 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_in__finite__psubset,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_setsum__nonneg__leq__bound,axiom,
% 183.74/183.85 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 183.74/183.85 ( class_Groups_Oordered__ab__group__add(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 183.74/183.85 => ( ! [B_i] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 183.74/183.85 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_setsum__nonneg__0,axiom,
% 183.74/183.85 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 183.74/183.85 ( class_Groups_Oordered__ab__group__add(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 183.74/183.85 => ( ! [B_i] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 183.74/183.85 => ( 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)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 183.74/183.85 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_sum__diff__distrib,axiom,
% 183.74/183.85 ! [V_na_2,V_Pa_2,V_Q_2] :
% 183.74/183.85 ( ! [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)))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_apsnd__apfst,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_apfst__conv,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_apfst__eq__conv,axiom,
% 183.74/183.85 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.85 ( 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)
% 183.74/183.85 <=> 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_fst__apfst,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_snd__apfst,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_apsnd__apfst__commute,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_apfst__apsnd,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pair__lessI2,axiom,
% 183.74/183.85 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INFI__fold__inf,axiom,
% 183.74/183.85 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUPR__fold__sup,axiom,
% 183.74/183.85 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__I,axiom,
% 183.74/183.85 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP1__I,axiom,
% 183.74/183.85 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__E,axiom,
% 183.74/183.85 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 183.74/183.85 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__D,axiom,
% 183.74/183.85 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF1__E,axiom,
% 183.74/183.85 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 183.74/183.85 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF1__D,axiom,
% 183.74/183.85 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF2__E,axiom,
% 183.74/183.85 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 183.74/183.85 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF2__D,axiom,
% 183.74/183.85 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP2__I,axiom,
% 183.74/183.85 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__INT,axiom,
% 183.74/183.85 ! [V_A_2,T_c,V_I_2,T_b] :
% 183.74/183.85 ( ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 183.74/183.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I8_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I8_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I8_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I8_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Union__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I5_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I5_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__commute,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__commute,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INFI__apply,axiom,
% 183.74/183.85 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUPR__apply,axiom,
% 183.74/183.85 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Pow__INT__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Compl__UN,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Compl__INT,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I7_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I6_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I7_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I6_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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)
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Inter__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__Pow__subset,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__subset__iff,axiom,
% 183.74/183.85 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__subset__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I4_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I4_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I7_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I6_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__Un__distrib,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I7_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__INT__distrib,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__Un,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I6_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__INT__distrib2,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UNION__empty__conv_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__constant,axiom,
% 183.74/183.85 ! [V_c_2,T_c,T_b,V_A_2] :
% 183.74/183.85 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__empty2,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UNION__empty__conv_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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)
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I5_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I4_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__Int__distrib,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I5_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__UN__distrib,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I4_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__UN__distrib2,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I10_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I10_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__UN,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I10_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I10_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__UN,axiom,
% 183.74/183.85 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__INT__eq2,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__UN__eq2,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__le__iff,axiom,
% 183.74/183.85 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_le__INF__iff,axiom,
% 183.74/183.85 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_less__SUP__iff,axiom,
% 183.74/183.85 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 183.74/183.85 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 & class_Orderings_Olinorder(T_b) )
% 183.74/183.85 => ( 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)))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__less__iff,axiom,
% 183.74/183.85 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.85 & class_Orderings_Olinorder(T_b) )
% 183.74/183.85 => ( 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))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__insert__distrib,axiom,
% 183.74/183.85 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__lower,axiom,
% 183.74/183.85 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__INT__eq,axiom,
% 183.74/183.85 ! [V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__absorb,axiom,
% 183.74/183.85 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 183.74/183.85 => 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__const,axiom,
% 183.74/183.85 ! [V_M_2,T_b,V_A_2,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__const,axiom,
% 183.74/183.85 ! [V_M_2,T_b,V_A_2,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__insert__distrib,axiom,
% 183.74/183.85 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__constant,axiom,
% 183.74/183.85 ! [V_c_2,T_c,T_b,V_A_2] :
% 183.74/183.85 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__upper,axiom,
% 183.74/183.85 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__UN__eq,axiom,
% 183.74/183.85 ! [V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__absorb,axiom,
% 183.74/183.85 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 183.74/183.85 => 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__insert,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__singleton,axiom,
% 183.74/183.85 ! [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 ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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))) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__Un,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I3_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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 )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I3_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__insert,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__Union,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__Union,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__Union2,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__Inter,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Union__image__eq,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UNION__eq__Union__image,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INTER__eq__Inter__image,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Inter__image__eq,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__lessThan__UNIV,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__atMost__UNIV,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__atLeast__UNIV,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP__subset,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__subset,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I1_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I2_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I3_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I3_J,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.74/183.85 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__eq__UN,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__UN__finite__eq,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF__leI,axiom,
% 183.74/183.85 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_le__SUPI,axiom,
% 183.74/183.85 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__Union__image,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__Inter__image,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__le__add__shift,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__greaterThan__UNIV,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pair__lessI1,axiom,
% 183.74/183.85 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_sup__SUPR__fold__sup,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inf__INFI__fold__inf,axiom,
% 183.74/183.85 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.74/183.85 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__le__eq__Un0,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pair__leqI2,axiom,
% 183.74/183.85 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_smax__insertI,axiom,
% 183.74/183.85 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_smin__insertI,axiom,
% 183.74/183.85 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__extend__simps_I9_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__extend__simps_I9_J,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INT__simps_I9_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__simps_I9_J,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__UN__flatten,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF1__iff,axiom,
% 183.74/183.85 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP1__iff,axiom,
% 183.74/183.85 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_INF2__iff,axiom,
% 183.74/183.85 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SUP2__iff,axiom,
% 183.74/183.85 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_ball__UN,axiom,
% 183.74/183.85 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( ! [B_x] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 => ! [B_xa] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 183.74/183.85 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_smin__emptyI,axiom,
% 183.74/183.85 ! [V_X_2] :
% 183.74/183.85 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_smax__emptyI,axiom,
% 183.74/183.85 ! [V_Y_2] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 183.74/183.85 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pair__leqI1,axiom,
% 183.74/183.85 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_wmin__insertI,axiom,
% 183.74/183.85 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_wmax__insertI,axiom,
% 183.74/183.85 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_nat__def,axiom,
% 183.74/183.85 ! [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)))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Rep__Integ__inject,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2] :
% 183.74/183.85 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 183.74/183.85 <=> V_x_2 = V_y_2 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_wmax__emptyI,axiom,
% 183.74/183.85 ! [V_X_2] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_wmin__emptyI,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_min__weak__def,axiom,
% 183.74/183.85 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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__weak__def,axiom,
% 183.74/183.85 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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__finite2__subset,axiom,
% 183.74/183.85 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 183.74/183.85 ( ! [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)))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__strict__def,axiom,
% 183.74/183.85 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__ext__additive,axiom,
% 183.74/183.85 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_min__strict__def,axiom,
% 183.74/183.85 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__extp__max__ext__eq,axiom,
% 183.74/183.85 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 183.74/183.85 ( 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)
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__finite2__eq,axiom,
% 183.74/183.85 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 183.74/183.85 ( ! [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)
% 183.74/183.85 => 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__finite__subset,axiom,
% 183.74/183.85 ! [V_C_2,V_A_2,T_b] :
% 183.74/183.85 ( ! [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))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_min__rpair__set,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__rpair__set,axiom,
% 183.74/183.85 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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_less__than__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pair__less__def,axiom,
% 183.74/183.85 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mlex__prod__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_intrel__iff,axiom,
% 183.74/183.85 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_rp__inv__image__rp,axiom,
% 183.74/183.85 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 183.74/183.85 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 183.74/183.85 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_rp__inv__image__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_in__inv__image,axiom,
% 183.74/183.85 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__intrel__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2] :
% 183.74/183.85 ( 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))))
% 183.74/183.85 <=> 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 183.74/183.85 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 183.74/183.85 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.85 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.85 => ( V_A_2 = V_B_2
% 183.74/183.85 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.74/183.85 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 183.74/183.85 => 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) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__UN,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__mono,axiom,
% 183.74/183.85 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__Int__subset,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__INT__subset,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__Image,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__Un,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__iff,axiom,
% 183.74/183.85 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.85 & 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_rev__ImageI,axiom,
% 183.74/183.85 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__eq__UN,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__singleton__iff,axiom,
% 183.74/183.85 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( 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))))))
% 183.74/183.85 <=> 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_measure__def,axiom,
% 183.74/183.85 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_of__int,axiom,
% 183.74/183.85 ! [V_j_2,V_i_2,T_b] :
% 183.74/183.85 ( class_Rings_Oring__1(T_b)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_One__int__def,axiom,
% 183.74/183.85 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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mult,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Rep__Integ__inverse,axiom,
% 183.74/183.85 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 183.74/183.85
% 183.74/183.85 fof(fact_minus,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Zero__int__def,axiom,
% 183.74/183.85 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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_int__def,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_add,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_nat,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_minus__int__def,axiom,
% 183.74/183.85 ! [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))))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_less,axiom,
% 183.74/183.85 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.74/183.85 ( 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)))))))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_le,axiom,
% 183.74/183.85 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.74/183.85 ( 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)))))))
% 183.74/183.85 <=> 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_irrefl__def,axiom,
% 183.74/183.85 ! [V_r_2,T_b] :
% 183.74/183.85 ( c_Relation_Oirrefl(T_b,V_r_2)
% 183.74/183.85 <=> ! [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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_eq__Abs__Integ,axiom,
% 183.74/183.85 ! [V_z_2] :
% 183.74/183.85 ~ ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Field__insert,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Field__Union,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Field__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mono__Field,axiom,
% 183.74/183.85 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Field__Un,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__Field,axiom,
% 183.74/183.85 ! [V_r_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.74/183.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__on__def,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__def,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_ImageE,axiom,
% 183.74/183.85 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 183.74/183.85 => ~ ! [B_x] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__is__empty2,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( 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)
% 183.74/183.85 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__is__empty,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__on__def_H,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__on__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Image__Id__on,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotientI,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__on__iff,axiom,
% 183.74/183.85 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 <=> ( V_x_2 = V_y_2
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__on__eqI,axiom,
% 183.74/183.85 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 183.74/183.85 ( V_a_2 = V_b_2
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_singleton__quotient,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__class__nondisjoint,axiom,
% 183.74/183.85 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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)))))))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_subset__equiv__class,axiom,
% 183.74/183.85 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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))))))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotientE,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => ~ ! [B_x] :
% 183.74/183.85 ( 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))))
% 183.74/183.85 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__intrel,axiom,
% 183.74/183.85 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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Union__quotient,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__class__self,axiom,
% 183.74/183.85 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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)))))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__disj,axiom,
% 183.74/183.85 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( V_X_2 = V_Y_2
% 183.74/183.85 | 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__class__eq,axiom,
% 183.74/183.85 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__eqI,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__eq__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 183.74/183.85 => ( V_X_2 = V_Y_2
% 183.74/183.85 <=> 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)) ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_eq__equiv__class__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.74/183.85 => ( 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))))
% 183.74/183.85 <=> 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_eq__equiv__class,axiom,
% 183.74/183.85 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 183.74/183.85 ( 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))))
% 183.74/183.85 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__class__eq__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 <=> ( 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))))
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equiv__class__subset,axiom,
% 183.74/183.85 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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)))))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_eq__equiv__class__iff2,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.74/183.85 => ( 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)
% 183.74/183.85 <=> 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__equiv__class2,axiom,
% 183.74/183.85 ! [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] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 183.74/183.85 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 183.74/183.85 => 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) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__equiv__class,axiom,
% 183.74/183.85 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equivp__equiv,axiom,
% 183.74/183.85 ! [V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 183.74/183.85 <=> 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_identity__equivp,axiom,
% 183.74/183.85 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equivp__def,axiom,
% 183.74/183.85 ! [V_R_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.85 <=> ! [B_x,B_y] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 183.74/183.85 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equivp__reflp,axiom,
% 183.74/183.85 ! [V_x_2,V_R_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.85 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equivp__symp,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_equivp__transp,axiom,
% 183.74/183.85 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_congruent2__implies__congruent,axiom,
% 183.74/183.85 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_congruent2D,axiom,
% 183.74/183.85 ! [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] :
% 183.74/183.85 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_congruentD,axiom,
% 183.74/183.85 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_congruent2__implies__congruent__UN,axiom,
% 183.74/183.85 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 183.74/183.85 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 183.74/183.85 => 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__equiv__class__inject,axiom,
% 183.74/183.85 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 183.74/183.85 => ( 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)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => ! [B_y] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 183.74/183.85 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 183.74/183.85 => 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)) ) ) )
% 183.74/183.85 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__equiv__class__type2,axiom,
% 183.74/183.85 ! [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] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 183.74/183.85 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( ! [B_x1] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 183.74/183.85 => ! [B_x2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 183.74/183.85 => 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)) ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UN__equiv__class__type,axiom,
% 183.74/183.85 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.85 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 183.74/183.85 => 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Integ__def,axiom,
% 183.74/183.85 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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Id__onE,axiom,
% 183.74/183.85 ! [V_A_2,V_c_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 183.74/183.85 => ~ ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__quotient__disjoint,axiom,
% 183.74/183.85 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( 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)
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__empty,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__uminus,axiom,
% 183.74/183.85 ! [V_A_2,T_b] :
% 183.74/183.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__contraD,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( V_x_2 != V_y_2
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.74/183.85 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__iff,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.74/183.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 183.74/183.85 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__onD,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.74/183.85 => V_x_2 = V_y_2 ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__id2,axiom,
% 183.74/183.85 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_subset__inj__on,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__Int,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__def,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.85 => ! [B_xa] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.74/183.85 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 183.74/183.85 => B_x = B_xa ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__diff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_injD,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 183.74/183.85 => V_x_2 = V_y_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__eq,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 183.74/183.85 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__fun,axiom,
% 183.74/183.85 ! [T_d,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__imageD,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 183.74/183.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__image__eq__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( 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)
% 183.74/183.85 <=> V_A_2 = V_B_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( 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)
% 183.74/183.85 <=> V_A_2 = V_B_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__image,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__strict__subset,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__image__mem__iff,axiom,
% 183.74/183.85 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_range__ex1__eq,axiom,
% 183.74/183.85 ! [V_b_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( 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)))))
% 183.74/183.85 <=> ? [B_x] :
% 183.74/183.85 ( V_b_2 = hAPP(V_f_2,B_x)
% 183.74/183.85 & ! [B_y] :
% 183.74/183.85 ( V_b_2 = hAPP(V_f_2,B_y)
% 183.74/183.85 => B_y = B_x ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__iff__surj,axiom,
% 183.74/183.85 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 183.74/183.85 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => ( ? [B_f] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 183.74/183.85 & 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)) )
% 183.74/183.85 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__surj__inj,axiom,
% 183.74/183.85 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_endo__inj__surj,axiom,
% 183.74/183.85 ! [V_f_2,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 183.74/183.85 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__UNIV__inj__surj,axiom,
% 183.74/183.85 ! [V_f_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__UNIV__surj__inj,axiom,
% 183.74/183.85 ! [V_f_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__image__subset__iff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__image__Int,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__Int,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__iff__eq__card,axiom,
% 183.74/183.85 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 <=> 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_eq__card__imp__inj__on,axiom,
% 183.74/183.85 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( 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)
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__image__set__diff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__set__diff,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_pigeonhole,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( 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)))
% 183.74/183.85 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__fun__updI,axiom,
% 183.74/183.85 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.85 => 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) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__singleton,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Rep__Integ,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__bij__eq,axiom,
% 183.74/183.85 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.85 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__image__Compl__subset,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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)))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__insert,axiom,
% 183.74/183.85 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 183.74/183.85 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 & ~ 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))))))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__Un,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.85 & 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__inj__on__le,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( 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))
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.85 => 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))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__iff__card__le,axiom,
% 183.74/183.85 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.85 => ( ? [B_f] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 183.74/183.85 & 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)) )
% 183.74/183.85 <=> 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))) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_quotient__diff1,axiom,
% 183.74/183.85 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 183.74/183.85 ( 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)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__INT,axiom,
% 183.74/183.85 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 183.74/183.85 => 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)) )
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition__Integ,axiom,
% 183.74/183.85 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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__into__into,axiom,
% 183.74/183.85 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => 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)) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__add__nat,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__Suc,axiom,
% 183.74/183.85 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__of__nat,axiom,
% 183.74/183.85 ! [T_b] :
% 183.74/183.85 ( class_Nat_Osemiring__char__0(T_b)
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__int,axiom,
% 183.74/183.85 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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_swap__inj__on,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__into__f__eq,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__into__f__f,axiom,
% 183.74/183.85 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__f__f,axiom,
% 183.74/183.85 ! [V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__into__onto,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__the__inv__into,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_f__the__inv__into__f,axiom,
% 183.74/183.85 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.85 => 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 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_ORep__range,axiom,
% 183.74/183.85 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_OAbs__image,axiom,
% 183.74/183.85 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => 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)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_ORep,axiom,
% 183.74/183.85 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_ORep__inject,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 183.74/183.85 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_ORep__inverse,axiom,
% 183.74/183.85 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_OAbs__inject,axiom,
% 183.74/183.85 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 183.74/183.85 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 183.74/183.85 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_type__definition_OAbs__inverse,axiom,
% 183.74/183.85 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.74/183.85 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 183.74/183.85 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 183.74/183.85 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 183.74/183.85 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.85 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.74/183.85 => ( V_A_2 = V_B_2
% 183.74/183.85 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.74/183.85 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 183.74/183.85 => 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) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_accp__acc__eq,axiom,
% 183.74/183.85 ! [V_x_2,V_r_2,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__extp_Oequations,axiom,
% 183.74/183.85 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 183.74/183.85 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 183.74/183.85 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 183.74/183.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 183.74/183.85 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 & ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 183.74/183.85 => ? [B_xa] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 183.74/183.85 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_acc__subset,axiom,
% 183.74/183.85 ! [V_R2_2,V_R1_2,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_acc__downward,axiom,
% 183.74/183.85 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_acc_Osimps,axiom,
% 183.74/183.85 ! [V_r_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 183.74/183.85 <=> ! [B_x] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_max__ext_Ointros,axiom,
% 183.74/183.85 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 183.74/183.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 183.74/183.85 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => ( ! [B_x] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 183.74/183.85 => ? [B_xa] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 183.74/183.85 & 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)) ) )
% 183.74/183.85 => 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))) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__Inter,axiom,
% 183.74/183.85 ! [V_f_2,T_c,T_b,V_S_2] :
% 183.74/183.85 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 183.74/183.85 => ( ! [B_A] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 183.74/183.85 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Nitpick_Oone__frac__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Nitpick_Ofrac__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__elem__def,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Rep__Integ__induct,axiom,
% 183.74/183.85 ! [V_Pa_2,V_y_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 183.74/183.85 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 183.74/183.85 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Rep__Integ__cases,axiom,
% 183.74/183.85 ! [V_y_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 183.74/183.85 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_split__paired__The,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_The__split__eq,axiom,
% 183.74/183.85 ! [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) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_the__inv__into__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_fold__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_divmod__nat__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_fold1__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_The__split,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_flat__lub__def,axiom,
% 183.74/183.85 ! [V_b_2,V_A_2,T_b] :
% 183.74/183.85 ( ( 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)))))
% 183.74/183.85 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 183.74/183.85 & ( ~ 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)))))
% 183.74/183.85 => 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)))))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__vimage__singleton,axiom,
% 183.74/183.85 ! [V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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))))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__on__INTER,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 183.74/183.85 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 => ( ! [B_i] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 183.74/183.85 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimageI,axiom,
% 183.74/183.85 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 183.74/183.85 ( hAPP(V_f_2,V_a_2) = V_b_2
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__UNIV,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__code,axiom,
% 183.74/183.85 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 183.74/183.85 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Compl,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Int,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__mono,axiom,
% 183.74/183.85 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__ident,axiom,
% 183.74/183.85 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__INT,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Un,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__empty,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__UN,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__eq,axiom,
% 183.74/183.85 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 183.74/183.85 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimageD,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimageI2,axiom,
% 183.74/183.85 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Diff,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__vimage__subset,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_surj__image__vimage__eq,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Union,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__singleton__eq,axiom,
% 183.74/183.85 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 183.74/183.85 ( 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))))))
% 183.74/183.85 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__insert,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__vimageD,axiom,
% 183.74/183.85 ! [V_F_2,V_h_2,T_c,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__subsetD,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 183.74/183.85 ( 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))
% 183.74/183.85 => ( 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))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__vimage__eq,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__vimageI,axiom,
% 183.74/183.85 ! [V_h_2,T_c,V_F_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.74/183.85 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 183.74/183.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_inj__vimage__image__eq,axiom,
% 183.74/183.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => 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 ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__const,axiom,
% 183.74/183.85 ! [T_c,V_A_2,V_c_2,T_b] :
% 183.74/183.85 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__eq__UN,axiom,
% 183.74/183.85 ! [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))))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__subsetI,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 183.74/183.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.85 => ( 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)))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__if,axiom,
% 183.74/183.85 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 183.74/183.85 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.85 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 183.74/183.85 => 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)) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 183.74/183.85 => 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 ) ) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 183.74/183.85 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 183.74/183.85 => 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) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 183.74/183.85 => 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)) ) ) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_image__split__eq__Sigma,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__less__Suc2,axiom,
% 183.74/183.85 ! [V_i_2,V_M_2] :
% 183.74/183.85 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 183.74/183.85 => 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))))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__less,axiom,
% 183.74/183.85 ! [V_i_2,V_M_2] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 183.74/183.85 => 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) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_CollectI,axiom,
% 183.74/183.85 ! [T_b,V_a_2,V_Pa_2] :
% 183.74/183.85 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__Collect__conjI,axiom,
% 183.74/183.85 ! [V_Q_2,V_Pa_2,T_b] :
% 183.74/183.85 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.85 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 183.74/183.85 => 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)))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__Collect__less__nat,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__Collect__le__nat,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SigmaI,axiom,
% 183.74/183.85 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 183.74/183.85 => 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))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_vimage__Collect__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__Diff__distrib1,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Times__Diff__distrib1,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__Diff__distrib2,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Times__eq__cancel2,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 183.74/183.85 => ( 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))
% 183.74/183.85 <=> V_A_2 = V_B_2 ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__mem__eq,axiom,
% 183.74/183.85 ! [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 ).
% 183.74/183.85
% 183.74/183.85 fof(fact_mem__Collect__eq,axiom,
% 183.74/183.85 ! [V_Pa_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.85 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_CollectD,axiom,
% 183.74/183.85 ! [V_Pa_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.85 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_CollectE,axiom,
% 183.74/183.85 ! [V_Pa_2,V_a_2,T_b] :
% 183.74/183.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.85 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_insert__Collect,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_SetCompr__Sigma__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__split,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_empty__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_empty__Collect__eq,axiom,
% 183.74/183.85 ! [V_Pa_2,T_b] :
% 183.74/183.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 183.74/183.85 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__empty__eq,axiom,
% 183.74/183.85 ! [V_Pa_2,T_b] :
% 183.74/183.85 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__disj__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__neg__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__conj__eq,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__def,axiom,
% 183.74/183.85 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 183.74/183.85
% 183.74/183.85 fof(fact_finite__Collect__disjI,axiom,
% 183.74/183.85 ! [V_Q_2,V_Pa_2,T_b] :
% 183.74/183.85 ( 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))))
% 183.74/183.85 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__Union,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_UNIV__def,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__empty1,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_card__cartesian__product,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_setsum__cartesian__product,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 183.74/183.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Times__empty,axiom,
% 183.74/183.85 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.85 ( 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))
% 183.74/183.85 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.85 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__empty2,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Compl__Times__UNIV2,axiom,
% 183.74/183.85 ! [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)))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Compl__Times__UNIV1,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_setprod__cartesian__product,axiom,
% 183.74/183.85 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 183.74/183.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.74/183.85 => 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))) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_insert__compr,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_insert__compr__raw,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Un__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__Collect,axiom,
% 183.74/183.85 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 183.74/183.85 ( 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))))
% 183.74/183.85 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.85 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Int__def,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__Un__distrib2,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Times__Un__distrib1,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Sigma__Un__distrib1,axiom,
% 183.74/183.85 ! [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)) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_singleton__conv2,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_singleton__conv,axiom,
% 183.74/183.85 ! [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))) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__conv__if2,axiom,
% 183.74/183.85 ! [T_b,V_a_2,V_Pa_2] :
% 183.74/183.85 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.85 => 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))) )
% 183.74/183.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.85 => 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)) ) ) ).
% 183.74/183.85
% 183.74/183.85 fof(fact_Collect__conv__if,axiom,
% 183.74/183.85 ! [T_b,V_a_2,V_Pa_2] :
% 183.74/183.86 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.86 => 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))) )
% 183.74/183.86 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_set__diff__eq,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__Collect__not,axiom,
% 183.74/183.86 ! [V_Pa_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_insert__def,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_swap__product,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__cartesian__product,axiom,
% 183.74/183.86 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.86 => 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)))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Compl__eq,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_vimage__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_equiv__type,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Sigma__Int__distrib1,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Times__Int__distrib1,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Sigma__Int__distrib2,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Collect__imp__eq,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Id__on__subset__Times,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__M__bounded__by__nat,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_UNIV__Times__UNIV,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_SigmaE2,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.86 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_SigmaD2,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_SigmaD1,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_mem__Sigma__iff,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.86 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_card__cartesian__product__singleton,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Times__subset__cancel2,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__subset,axiom,
% 183.74/183.86 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__setsum__restrict,axiom,
% 183.74/183.86 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__cartesian__productD2,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__cartesian__productD1,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_if__image__distrib,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fst__image__times,axiom,
% 183.74/183.86 ! [V_A_2,T_c,T_b,V_B_2] :
% 183.74/183.86 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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)) )
% 183.74/183.86 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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 ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_snd__image__times,axiom,
% 183.74/183.86 ! [V_B_2,T_c,T_b,V_A_2] :
% 183.74/183.86 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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)) )
% 183.74/183.86 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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 ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_nat__seg__image__imp__finite,axiom,
% 183.74/183.86 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__restrict__set_H,axiom,
% 183.74/183.86 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_insert__times__insert,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__image__gen,axiom,
% 183.74/183.86 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__equiv__class,axiom,
% 183.74/183.86 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_UN__Times__distrib,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Sigma__def,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__quotient,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__singleton,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__cases,axiom,
% 183.74/183.86 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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))))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_card__less__Suc,axiom,
% 183.74/183.86 ! [V_i_2,V_M_2] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 183.74/183.86 => 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))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 183.74/183.86 ! [V_A_2,V_I_2,T_c,T_b] :
% 183.74/183.86 ? [B_f] :
% 183.74/183.86 ( 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))
% 183.74/183.86 & 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fold__image__Sigma,axiom,
% 183.74/183.86 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__multicount,axiom,
% 183.74/183.86 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 183.74/183.86 => 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 )
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__Collect__subsets,axiom,
% 183.74/183.86 ! [V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Pow__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__graph,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__psubset__def,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inv__image__def,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Nitpick_Oprod__def,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_int__ge__less__than__def,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_int__ge__less__than2__def,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setprod__Sigma,axiom,
% 183.74/183.86 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__Sigma,axiom,
% 183.74/183.86 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_card__SigmaI,axiom,
% 183.74/183.86 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Orderings_Olinorder(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))))) ) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Orderings_Olinorder(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Orderings_Olinorder(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__Collect__bounded__ex,axiom,
% 183.74/183.86 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.86 => ( 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)))))
% 183.74/183.86 <=> ! [B_y] :
% 183.74/183.86 ( hBOOL(hAPP(V_Pa_2,B_y))
% 183.74/183.86 => 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)))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__image__set,axiom,
% 183.74/183.86 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 183.74/183.86 => 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))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Pow__Compl,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_add__Max__commute,axiom,
% 183.74/183.86 ! [V_k_2,V_N_2,T_b] :
% 183.74/183.86 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.86 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_add__Min__commute,axiom,
% 183.74/183.86 ! [V_k_2,V_N_2,T_b] :
% 183.74/183.86 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.74/183.86 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_sup__Inf1__distrib,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Lattices_Odistrib__lattice(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_sup__Inf2__distrib,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Lattices_Odistrib__lattice(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))))) ) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inf__Sup1__distrib,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Lattices_Odistrib__lattice(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inf__Sup2__distrib,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Lattices_Odistrib__lattice(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))))) ) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( class_Orderings_Olinorder(T_b)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 => 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))))))) ) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Rings_Osemiring__0(T_d)
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))))))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__SigmaI,axiom,
% 183.74/183.86 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_a] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__multicount__gen,axiom,
% 183.74/183.86 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 183.74/183.86 => 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) )
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__on__id,axiom,
% 183.74/183.86 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_id__apply,axiom,
% 183.74/183.86 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apsnd__id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_id__def,axiom,
% 183.74/183.86 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apfst__id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_vimage__id,axiom,
% 183.74/183.86 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_image__id,axiom,
% 183.74/183.86 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_of__int__eq__id,axiom,
% 183.74/183.86 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_surj__id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_split__Pair,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__reindex__id,axiom,
% 183.74/183.86 ! [V_B_2,V_f_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setprod__reindex__id,axiom,
% 183.74/183.86 ! [V_B_2,V_f_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_SigmaE,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ~ ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => ! [B_y] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 183.74/183.86 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__surj,axiom,
% 183.74/183.86 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__conv__nat__seg__image,axiom,
% 183.74/183.86 ! [V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 <=> ? [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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__imageI,axiom,
% 183.74/183.86 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair_Oid,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair_Oidentity,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__simp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_snd__prod__fun,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__ident,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fst__map__pair,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apfst__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apsnd__def,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__surj__on,axiom,
% 183.74/183.86 ! [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] :
% 183.74/183.86 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 183.74/183.86 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__inj__on,axiom,
% 183.74/183.86 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_prod__fun__imageE,axiom,
% 183.74/183.86 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ~ ! [B_x,B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ~ 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__def,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Collect__split,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__compI,axiom,
% 183.74/183.86 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_RangeI,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Id__on,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__empty1,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__empty2,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__distrib,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__distrib2,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__mono,axiom,
% 183.74/183.86 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_O__assoc,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__UNION__distrib,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__UNION__distrib2,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_union__comp__emptyR,axiom,
% 183.74/183.86 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_union__comp__emptyL,axiom,
% 183.74/183.86 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Union,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__empty__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_b,T_c] :
% 183.74/183.86 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__empty,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__comp__subset__Sigma,axiom,
% 183.74/183.86 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 => 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)))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Un__eq,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__Range,axiom,
% 183.74/183.86 ! [V_r_2,T_c,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_snd__eq__Range,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_c,V_a_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 183.74/183.86 <=> ? [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__insert,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Int__subset,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Diff__subset,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_max__ext__compat,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__ext__compat,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_RangeP__Range__eq,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_RangeE,axiom,
% 183.74/183.86 ! [V_r_2,T_c,V_b_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 183.74/183.86 => ~ ! [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pred__comp__rel__comp__eq,axiom,
% 183.74/183.86 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pred__comp_Ointros,axiom,
% 183.74/183.86 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_RangeP_Ointros,axiom,
% 183.74/183.86 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 183.74/183.86 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_RangeP_Oequations,axiom,
% 183.74/183.86 ! [V_a2_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 183.74/183.86 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pred__comp_Oequations,axiom,
% 183.74/183.86 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> ? [B_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 183.74/183.86 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reduction__pairI,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__def,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 <=> ( 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))))
% 183.74/183.86 & ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Collect__split,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__less__than,axiom,
% 183.74/183.86 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__empty,axiom,
% 183.74/183.86 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__inv__image,axiom,
% 183.74/183.86 ! [V_f_2,T_c,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__lex__prod,axiom,
% 183.74/183.86 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 183.74/183.86 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__measure,axiom,
% 183.74/183.86 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_DomainI,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__comp__self,axiom,
% 183.74/183.86 ! [V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_min__ext__wf,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__subset,axiom,
% 183.74/183.86 ! [V_p_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__less,axiom,
% 183.74/183.86 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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__Id__on,axiom,
% 183.74/183.86 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Id__on,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__finite__psubset,axiom,
% 183.74/183.86 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_max__ext__wf,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__pair__less,axiom,
% 183.74/183.86 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__Int2,axiom,
% 183.74/183.86 ! [V_r_H_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__Int1,axiom,
% 183.74/183.86 ! [V_r_H_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__mlex,axiom,
% 183.74/183.86 ! [V_f_2,V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__not__refl,axiom,
% 183.74/183.86 ! [V_a_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ~ 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__not__sym,axiom,
% 183.74/183.86 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => ~ 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__asym,axiom,
% 183.74/183.86 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => ~ 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__irrefl,axiom,
% 183.74/183.86 ! [V_a_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ~ 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__int__ge__less__than2,axiom,
% 183.74/183.86 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__int__ge__less__than,axiom,
% 183.74/183.86 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__Un,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__acc__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acc__wfD,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__no__loop,axiom,
% 183.74/183.86 ! [V_R_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__union__merge,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__empty__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_c,T_b] :
% 183.74/183.86 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__empty,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__mono,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Un__eq,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__Domain,axiom,
% 183.74/183.86 ! [V_r_2,T_c,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__empty,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__Un,axiom,
% 183.74/183.86 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fst__eq__Domain,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__Int,axiom,
% 183.74/183.86 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 <=> ~ ? [B_f] :
% 183.74/183.86 ! [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfE__pf,axiom,
% 183.74/183.86 ! [V_A_2,V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__union__compatible,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_c,V_a_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 183.74/183.86 <=> ? [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf,axiom,
% 183.74/183.86 ! [T_b] :
% 183.74/183.86 ( class_Orderings_Owellorder(T_b)
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__insert,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reduction__pair__def,axiom,
% 183.74/183.86 ! [V_Pa_2,T_b] :
% 183.74/183.86 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 183.74/183.86 <=> ( 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))
% 183.74/183.86 & 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__onD2,axiom,
% 183.74/183.86 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__onD1,axiom,
% 183.74/183.86 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__onD,axiom,
% 183.74/183.86 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reduction__pair__lemma,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 183.74/183.86 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 183.74/183.86 => 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)) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Int__subset,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Diff__subset,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Field__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__map__pair__image,axiom,
% 183.74/183.86 ! [V_f_2,T_c,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Union,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reflp__def,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Predicate_Oreflp(T_b,V_r_2)
% 183.74/183.86 <=> 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_DomainP__Domain__eq,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__lenlex,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_DomainP_Ointros,axiom,
% 183.74/183.86 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 183.74/183.86 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reflpE,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Predicate_Oreflp(T_b,V_r_2)
% 183.74/183.86 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_DomainP_Oequations,axiom,
% 183.74/183.86 ! [V_a1_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 183.74/183.86 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pred__nat__def,axiom,
% 183.74/183.86 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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__lex,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__onI,axiom,
% 183.74/183.86 ! [V_A_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => 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)) )
% 183.74/183.86 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__pred__nat,axiom,
% 183.74/183.86 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_lex__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__lexn,axiom,
% 183.74/183.86 ! [V_na_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_DomainE,axiom,
% 183.74/183.86 ! [V_r_2,T_c,V_a_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 183.74/183.86 => ~ ! [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_lexn_Osimps_I1_J,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__same__fst,axiom,
% 183.74/183.86 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 183.74/183.86 ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.86 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 183.74/183.86 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__if__measure,axiom,
% 183.74/183.86 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 183.74/183.86 ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.86 => 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))) )
% 183.74/183.86 => 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))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__def,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 183.74/183.86 <=> 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__empty,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__accp__iff,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 183.74/183.86 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_accp__wfPD,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 183.74/183.86 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__subset,axiom,
% 183.74/183.86 ! [V_p_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__in__rel,axiom,
% 183.74/183.86 ! [V_R_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_R_2)
% 183.74/183.86 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__wf__eq,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__acyclicP,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_the__sym__eq__trivial,axiom,
% 183.74/183.86 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_the__eq__trivial,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acyclic__subset,axiom,
% 183.74/183.86 ! [V_r_2,V_s_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__acyclic,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.74/183.86 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__acyclic__wf,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.74/183.86 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Nitpick_Owf_H__def,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 183.74/183.86 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.86 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.74/183.86 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pigeonhole__infinite,axiom,
% 183.74/183.86 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.74/183.86 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.86 => ? [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 & ~ 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)))))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__def_H,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 <=> ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 183.74/183.86 => 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)) )
% 183.74/183.86 & ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Powp__def,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 183.74/183.86 <=> ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.74/183.86 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_INFI__bool__eq,axiom,
% 183.74/183.86 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_ball__empty,axiom,
% 183.74/183.86 ! [V_Pa_2,T_b,B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Collect__ball__eq,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_congruent__def,axiom,
% 183.74/183.86 ! [V_f_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 183.74/183.86 <=> ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_INTER__def,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Inf__Sup,axiom,
% 183.74/183.86 ! [V_A_2,T_b] :
% 183.74/183.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.86 => 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))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Sup__Inf,axiom,
% 183.74/183.86 ! [V_A_2,T_b] :
% 183.74/183.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.86 => 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)))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Abs__Integ__cases,axiom,
% 183.74/183.86 ! [V_x_2] :
% 183.74/183.86 ~ ! [B_y] :
% 183.74/183.86 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 183.74/183.86 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Abs__Integ__induct,axiom,
% 183.74/183.86 ! [V_x_2,V_Pa_2] :
% 183.74/183.86 ( ! [B_y] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__UN__I,axiom,
% 183.74/183.86 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ! [B_a] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.74/183.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Inter__eq,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__on__diff__nat,axiom,
% 183.74/183.86 ! [V_k_2,V_N_2] :
% 183.74/183.86 ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfP__SUP,axiom,
% 183.74/183.86 ! [T_b,V_r_2,T_c] :
% 183.74/183.86 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 183.74/183.86 => ( ! [B_i,B_j] :
% 183.74/183.86 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 183.74/183.86 => 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)) )
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_mem__splitE,axiom,
% 183.74/183.86 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ~ ! [B_x,B_y] :
% 183.74/183.86 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 183.74/183.86 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_mem__splitI2,axiom,
% 183.74/183.86 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 183.74/183.86 ( ! [B_a,B_b] :
% 183.74/183.86 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_vimage__Times,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Eps__split,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_exE__some,axiom,
% 183.74/183.86 ! [T_b,V_c_2,V_Pa_2] :
% 183.74/183.86 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.86 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__on__imageI2,axiom,
% 183.74/183.86 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 183.74/183.86 ( 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)
% 183.74/183.86 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__comp,axiom,
% 183.74/183.86 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_inj__on__imageI,axiom,
% 183.74/183.86 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 183.74/183.86 ( 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)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__inj__on,axiom,
% 183.74/183.86 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__inj__on__iff,axiom,
% 183.74/183.86 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 <=> 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_image__compose,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__surj,axiom,
% 183.74/183.86 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_vimage__compose,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apfst__compose,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_K__record__comp,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_some__sym__eq__trivial,axiom,
% 183.74/183.86 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_some__eq__trivial,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_some__eq__ex,axiom,
% 183.74/183.86 ! [T_b,V_Pa_2] :
% 183.74/183.86 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 183.74/183.86 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_someI__ex,axiom,
% 183.74/183.86 ! [T_b,V_Pa_2] :
% 183.74/183.86 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_apsnd__compose,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__eq__dest__lhs,axiom,
% 183.74/183.86 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 183.74/183.86 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 183.74/183.86 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 183.74/183.86 ! [V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 183.74/183.86 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fun__upd__comp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__cong,axiom,
% 183.74/183.86 ! [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] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__assoc,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__apply,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__eq__dest,axiom,
% 183.74/183.86 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 183.74/183.86 ( 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)
% 183.74/183.86 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__eq__elim,axiom,
% 183.74/183.86 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 183.74/183.86 ( 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)
% 183.74/183.86 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_tfl__some,axiom,
% 183.74/183.86 ! [T_b,B_P] :
% 183.74/183.86 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 183.74/183.86 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_someI,axiom,
% 183.74/183.86 ! [T_b,V_x_2,V_Pa_2] :
% 183.74/183.86 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.86 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair_Ocompositionality,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair__compose,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_map__pair_Ocomp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__eq__id__dest,axiom,
% 183.74/183.86 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 183.74/183.86 ( 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)
% 183.74/183.86 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_id__o,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_o__id,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__reindex,axiom,
% 183.74/183.86 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setprod__reindex__cong,axiom,
% 183.74/183.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 183.74/183.86 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 183.74/183.86 => 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) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setprod__reindex,axiom,
% 183.74/183.86 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Eps__split__eq,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_split__paired__Eps,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum_Oreindex,axiom,
% 183.74/183.86 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setprod_Oreindex,axiom,
% 183.74/183.86 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_the__inv__into__comp,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 183.74/183.86 => ( 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))))
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fold__image__reindex,axiom,
% 183.74/183.86 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Oab__semigroup__mult(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Oremove,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__image_Oreindex,axiom,
% 183.74/183.86 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.86 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ounion,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 183.74/183.86 ! [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] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__comp,axiom,
% 183.74/183.86 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__left__comp,axiom,
% 183.74/183.86 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_UN__o,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_fst__comp__map__pair,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_snd__comp__map__pair,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__image_Odistrib,axiom,
% 183.74/183.86 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_split__comp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__comp_H,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 183.74/183.86 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 183.74/183.86 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Oempty,axiom,
% 183.74/183.86 ! [V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Oeq__fold,axiom,
% 183.74/183.86 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__image_Oeq__fold,axiom,
% 183.74/183.86 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.86 => 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) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Oinsert,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Ounion__inter,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding_Oinsert__remove,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__reindex__nonzero,axiom,
% 183.74/183.86 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.86 => ! [B_y] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 183.74/183.86 => ( B_x != B_y
% 183.74/183.86 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 183.74/183.86 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Ounion__idem,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.86 => 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)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Oidem__comp,axiom,
% 183.74/183.86 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 183.74/183.86 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => 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) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.86 => 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) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_folding__idem_Oinsert__idem,axiom,
% 183.74/183.86 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.74/183.86 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 183.74/183.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_strong__setprod__reindex__cong,axiom,
% 183.74/183.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => 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) )
% 183.74/183.86 => 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) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wfI__pf,axiom,
% 183.74/183.86 ! [V_R_2,T_b] :
% 183.74/183.86 ( ! [B_A] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 183.74/183.86 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Sigma__mono,axiom,
% 183.74/183.86 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => 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))) )
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acc_OaccI,axiom,
% 183.74/183.86 ! [V_r_2,V_x_2,T_b] :
% 183.74/183.86 ( ! [B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_not__acc__down,axiom,
% 183.74/183.86 ! [V_R_2,V_x_2,T_b] :
% 183.74/183.86 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 183.74/183.86 => ~ ! [B_z] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_max__ext_Osimps,axiom,
% 183.74/183.86 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 183.74/183.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 183.74/183.86 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.86 & ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 183.74/183.86 => ? [B_xa] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 183.74/183.86 & 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)) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__no__infinite__down__chainE,axiom,
% 183.74/183.86 ! [V_f_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => ~ ! [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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_iterate_Osimps,axiom,
% 183.74/183.86 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 183.74/183.86 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.86 => 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) )
% 183.74/183.86 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_setsum__reindex__cong,axiom,
% 183.74/183.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 183.74/183.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.74/183.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 183.74/183.86 => ( ! [B_a] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.74/183.86 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 183.74/183.86 => 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) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_scomp__apply,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_scomp__scomp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_scomp__Pair,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Pair__scomp,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_scomp__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_scomp__unfold,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_less__eq,axiom,
% 183.74/183.86 ! [V_na_2,V_m_2] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__eq__minimal,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 <=> ! [B_Q] :
% 183.74/183.86 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 183.74/183.86 => ? [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 183.74/183.86 & ! [B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_transfer__nat__int__set__cong,axiom,
% 183.74/183.86 ! [V_P_H_2,V_Pa_2] :
% 183.74/183.86 ( ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.74/183.86 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.86 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__trancl,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_less__than__def,axiom,
% 183.74/183.86 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acyclic__def,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.86 <=> ! [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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl_Or__into__trancl,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__subset__Field2,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__Int__subset,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_r__into__trancl_H,axiom,
% 183.74/183.86 ! [V_r_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__empty,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__domain,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__range,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__trancl,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 183.74/183.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__trans,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__into__trancl2,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_r__r__into__trancl,axiom,
% 183.74/183.86 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__mono,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__unfold,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__subset__Sigma,axiom,
% 183.74/183.86 ! [V_A_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__insert,axiom,
% 183.74/183.86 ! [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)))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reflcl__set__eq,axiom,
% 183.74/183.86 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acyclicI,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( ! [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)))
% 183.74/183.86 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_r__into__rtrancl,axiom,
% 183.74/183.86 ! [V_r_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_IdI,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__into__rtrancl,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__rtrancl__absorb,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__trancl__absorb,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_reflcl__trancl,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__reflcl,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__unfold__right,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__unfold__left,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_r__comp__rtrancl__eq,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__idemp__self__comp,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__Int__subset,axiom,
% 183.74/183.86 ! [V_r_2,V_s_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__unfold,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_in__rtrancl__UnI,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 183.74/183.86 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 183.74/183.86 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__reflcl,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__Un__rtrancl,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__reflcl__absorb,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__Un__subset,axiom,
% 183.74/183.86 ! [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)))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__subset__rtrancl,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__subset,axiom,
% 183.74/183.86 ! [V_S_2,V_R_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__mono,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__closed__trancl,axiom,
% 183.74/183.86 ! [V_X_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__idemp,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__trans,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__r__diff__Id,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__rtrancl,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__rtrancl,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__rtrancl,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__empty,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__Id,axiom,
% 183.74/183.86 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Id__O__R,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_R__O__Id,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pair__in__Id__conv,axiom,
% 183.74/183.86 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> V_a_2 = V_b_2 ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__trancl__trancl,axiom,
% 183.74/183.86 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__rtrancl__trancl,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__into__trancl1,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtranclD,axiom,
% 183.74/183.86 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( V_a_2 = V_b_2
% 183.74/183.86 | ( V_a_2 != V_b_2
% 183.74/183.86 & 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))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__into__trancl2,axiom,
% 183.74/183.86 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__eq__or__trancl,axiom,
% 183.74/183.86 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> ( V_x_2 = V_y_2
% 183.74/183.86 | ( V_x_2 != V_y_2
% 183.74/183.86 & 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))) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__Id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__Id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__Id,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pair__leq__def,axiom,
% 183.74/183.86 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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Not__Domain__rtrancl,axiom,
% 183.74/183.86 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 183.74/183.86 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acc__downwards,axiom,
% 183.74/183.86 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acc__downwards__aux,axiom,
% 183.74/183.86 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__insert,axiom,
% 183.74/183.86 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 183.74/183.86 & ~ 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acyclic__insert,axiom,
% 183.74/183.86 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.86 & ~ 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__reflcl,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Id__def,axiom,
% 183.74/183.86 ! [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))))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_irrefl__diff__Id,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_pred__nat__trancl__eq__le,axiom,
% 183.74/183.86 ! [V_na_2,V_m_2] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__subset__Sigma__aux,axiom,
% 183.74/183.86 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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))))
% 183.74/183.86 => ( V_a_2 = V_b_2
% 183.74/183.86 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_irrefl__tranclI,axiom,
% 183.74/183.86 ! [V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ~ 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_sequence__trans,axiom,
% 183.74/183.86 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 183.74/183.86 ( ! [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)))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_total__on__diff__Id,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__converse,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__Id,axiom,
% 183.74/183.86 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__INTER,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__iff,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 <=> 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converseI,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converseD,axiom,
% 183.74/183.86 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_acyclic__converse,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.86 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__UNION,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__rel__comp,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__Un,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__Id__on,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__inv__image,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__Int,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_total__on__converse,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.86 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__converse,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__converse,axiom,
% 183.74/183.86 ! [V_r_2,T_c,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 183.74/183.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Field__converse,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__converse,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.86 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__converse,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__converse__trancl,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.86 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_equiv__comp__eq,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.86 => 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 ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__converse,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Domain__converse,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Range__def,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_total__on__empty,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__converseI,axiom,
% 183.74/183.86 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__converseD,axiom,
% 183.74/183.86 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__converseI,axiom,
% 183.74/183.86 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__converseD,axiom,
% 183.74/183.86 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__subset__eq,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 <=> 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))))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_refl__on__comp__subset,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 => 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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__equivI,axiom,
% 183.74/183.86 ! [V_A_2,V_r_2,T_b] :
% 183.74/183.86 ( 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
% 183.74/183.86 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 183.74/183.86 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_finite__acyclic__wf__converse,axiom,
% 183.74/183.86 ! [V_r_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.74/183.86 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.86 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_total__on__def,axiom,
% 183.74/183.86 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.86 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 183.74/183.86 <=> ! [B_x] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.86 => ! [B_xa] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.74/183.86 => ( B_x != B_xa
% 183.74/183.86 => ( 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))
% 183.74/183.86 | 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)) ) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_converse__def,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__INT__eq,axiom,
% 183.74/183.86 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 183.74/183.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 183.74/183.86 ! [V_R_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 183.74/183.86 => 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)))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__Id,axiom,
% 183.74/183.86 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__commute,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__rel__pow,axiom,
% 183.74/183.86 ! [V_na_2,V_R_2,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__1,axiom,
% 183.74/183.86 ! [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 ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow__swap1,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow__mult,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__subset,axiom,
% 183.74/183.86 ! [V_s_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 183.74/183.86 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_wf__exp,axiom,
% 183.74/183.86 ! [V_R_2,V_na_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__rel__comp,axiom,
% 183.74/183.86 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 183.74/183.86 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 183.74/183.86 => 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)) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_comp__funpow,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__imp__rtrancl,axiom,
% 183.74/183.86 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__power,axiom,
% 183.74/183.86 ! [V_R_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 183.74/183.86 <=> ? [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))) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__Id__on,axiom,
% 183.74/183.86 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_relpow_Osimps_I2_J,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__add,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_relpow_Osimps_I1_J,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__0__E,axiom,
% 183.74/183.86 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => V_x_2 = V_y_2 ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__0__I,axiom,
% 183.74/183.86 ! [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))) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__Suc__I2,axiom,
% 183.74/183.86 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__Suc__I,axiom,
% 183.74/183.86 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow_Osimps_I2_J,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow__add,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valuedD,axiom,
% 183.74/183.86 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => ( 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))
% 183.74/183.86 => V_y_2 = V_z_2 ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__def,axiom,
% 183.74/183.86 ! [V_r_2,T_c,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 183.74/183.86 <=> ! [B_x,B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => ! [B_z] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => B_y = B_z ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow_Osimps_I1_J,axiom,
% 183.74/183.86 ! [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) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_trancl__power,axiom,
% 183.74/183.86 ! [V_R_2,V_p_2,T_b] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 183.74/183.86 <=> ? [B_n] :
% 183.74/183.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 183.74/183.86 & 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 183.74/183.86 ! [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)) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_single__valued__confluent,axiom,
% 183.74/183.86 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => ( 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)))
% 183.74/183.86 | 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))) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_Image__Int__eq,axiom,
% 183.74/183.86 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 183.74/183.86 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 183.74/183.86 => 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)) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_funpow__code__def,axiom,
% 183.74/183.86 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__E,axiom,
% 183.74/183.86 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.86 => V_x_2 != V_z_2 )
% 183.74/183.86 => ~ ! [B_y,B_m] :
% 183.74/183.86 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 183.74/183.86 => ( 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)))
% 183.74/183.86 => ~ 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)) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__E2,axiom,
% 183.74/183.86 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.86 => V_x_2 != V_z_2 )
% 183.74/183.86 => ~ ! [B_y,B_m] :
% 183.74/183.86 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 183.74/183.86 => ( 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))
% 183.74/183.86 => ~ 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))) ) ) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 183.74/183.86 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ! [B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => B_y = B_x ) )
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rtrancl__Un__separatorE,axiom,
% 183.74/183.86 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 183.74/183.86 ( 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))))
% 183.74/183.86 => ( ! [B_x] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ! [B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.86 => B_x = B_y ) )
% 183.74/183.86 => 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))) ) ) ).
% 183.74/183.86
% 183.74/183.86 fof(fact_rel__pow__Suc__D2,axiom,
% 183.74/183.86 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 183.74/183.86 ( 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)))
% 183.74/183.86 => ? [B_y] :
% 183.74/183.86 ( 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))
% 183.74/183.87 & 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rel__pow__Suc__E,axiom,
% 183.74/183.87 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_y] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rel__pow__Suc__E2,axiom,
% 183.74/183.87 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_y] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ~ 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tranclD,axiom,
% 183.74/183.87 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ? [B_z] :
% 183.74/183.87 ( 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))
% 183.74/183.87 & 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tranclD2,axiom,
% 183.74/183.87 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ? [B_z] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 & 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_IdE,axiom,
% 183.74/183.87 ! [V_p_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 183.74/183.87 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Int__Collect__mono,axiom,
% 183.74/183.87 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.87 => ( ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.87 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.87 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rel__compE,axiom,
% 183.74/183.87 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_x,B_y,B_z] :
% 183.74/183.87 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 183.74/183.87 => ( 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))
% 183.74/183.87 => ~ 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_converseE,axiom,
% 183.74/183.87 ! [V_r_2,V_yx_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_x,B_y] :
% 183.74/183.87 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 183.74/183.87 => ~ 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_internal__split__def,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_internal__split__conv,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Oof__frac__def,axiom,
% 183.74/183.87 ! [V_q,T_a,T_b] :
% 183.74/183.87 ( ( class_Rings_Oinverse(T_b)
% 183.74/183.87 & class_Rings_Oring__1(T_b) )
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Oless__frac__def,axiom,
% 183.74/183.87 ! [V_r_2,V_q_2,T_b] :
% 183.74/183.87 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 183.74/183.87 <=> 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 183.74/183.87 ! [V_r_2,V_q_2,T_b] :
% 183.74/183.87 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 183.74/183.87 <=> 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Onum__def,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Odenom__def,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_bool_Osize_I1_J,axiom,
% 183.74/183.87 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_bool_Osize_I2_J,axiom,
% 183.74/183.87 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_finite__less__ub,axiom,
% 183.74/183.87 ! [V_u_2,V_f_2] :
% 183.74/183.87 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lenlex__def,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_neq__if__length__neq,axiom,
% 183.74/183.87 ! [V_ys,V_xs,T_a] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => V_xs != V_ys ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexn__length,axiom,
% 183.74/183.87 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 183.74/183.87 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lenlex__conv,axiom,
% 183.74/183.87 ! [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)))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__sublist,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexn_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_impossible__Cons,axiom,
% 183.74/183.87 ! [V_x,V_ys,V_xs,T_a] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Oinject,axiom,
% 183.74/183.87 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ( V_a_2 = V_a_H_2
% 183.74/183.87 & V_list_2 = V_list_H_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_not__Cons__self2,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 183.74/183.87
% 183.74/183.87 fof(fact_not__Cons__self,axiom,
% 183.74/183.87 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osize_I4_J,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__in__lex,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( ( 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))
% 183.74/183.87 & 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) )
% 183.74/183.87 | ( V_x_2 = V_y_2
% 183.74/183.87 & 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__Cons__def,axiom,
% 183.74/183.87 ! [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)))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_pick_Osimps,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_i] :
% 183.74/183.87 ( ( 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)))
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select__weight__cons__zero,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__cons__cons,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( 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))
% 183.74/183.87 | ( V_a_2 = V_b_2
% 183.74/183.87 & 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__lex,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( 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)))
% 183.74/183.87 & 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( 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))))
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osize_I2_J,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__acc__listrel1I,axiom,
% 183.74/183.87 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 183.74/183.87 => ( 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))))
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__converse,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__mono,axiom,
% 183.74/183.87 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1I2,axiom,
% 183.74/183.87 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 183.74/183.87 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__eq__len,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__listrel1__converse,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 <=> 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__listrel1__Cons,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( ( 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))
% 183.74/183.87 & V_xs_2 = V_ys_2 )
% 183.74/183.87 | ( V_x_2 = V_y_2
% 183.74/183.87 & 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1I1,axiom,
% 183.74/183.87 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Cons,axiom,
% 183.74/183.87 ! [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))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__linear,axiom,
% 183.74/183.87 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 183.74/183.87 ( ! [B_a,B_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 | B_a = B_b
% 183.74/183.87 | 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)) )
% 183.74/183.87 => ( 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)))
% 183.74/183.87 | V_x_2 = V_y_2
% 183.74/183.87 | 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__rtrancl__refl,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__mono,axiom,
% 183.74/183.87 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__eq__len,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__rtrancl__trans,axiom,
% 183.74/183.87 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => ( 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))))
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__subset__listrel,axiom,
% 183.74/183.87 ! [V_r_H_2,V_r_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel_OCons,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrelp__listrel__eq,axiom,
% 183.74/183.87 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Cons1,axiom,
% 183.74/183.87 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_y,B_ys] :
% 183.74/183.87 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 183.74/183.87 => ( 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))
% 183.74/183.87 => ~ 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrelp_Oequations_I2_J,axiom,
% 183.74/183.87 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 183.74/183.87 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrelp_OCons,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 183.74/183.87 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Cons2,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_x,B_xs] :
% 183.74/183.87 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 183.74/183.87 => ( 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))
% 183.74/183.87 => ~ 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__subset,axiom,
% 183.74/183.87 ! [V_A_2,V_r_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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))))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__UNIV,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__mono,axiom,
% 183.74/183.87 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_equiv__listrel,axiom,
% 183.74/183.87 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.87 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__refl__on,axiom,
% 183.74/183.87 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.87 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__in__lists__iff,axiom,
% 183.74/183.87 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.87 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__accI,axiom,
% 183.74/183.87 ! [V_r_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__accD,axiom,
% 183.74/183.87 ! [V_r_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__iff__nth,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__irreflexive,axiom,
% 183.74/183.87 ! [V_y_2,V_r_2,T_b] :
% 183.74/183.87 ( ! [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))
% 183.74/183.87 => ~ 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_infinite__UNIV__listI,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__eq__iff__nth__eq,axiom,
% 183.74/183.87 ! [T_b,V_ys_2,V_xs_2] :
% 183.74/183.87 ( V_xs_2 = V_ys_2
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__Cons__0,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__Cons__Suc,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth_Osimps,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__Cons_H,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_n] :
% 183.74/183.87 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 183.74/183.87 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__Cons__number__of,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_v] :
% 183.74/183.87 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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 )
% 183.74/183.87 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__take__index__conv,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( ( 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)))
% 183.74/183.87 & 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 )
% 183.74/183.87 | ? [B_i] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 183.74/183.87 & 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__sublist,axiom,
% 183.74/183.87 ! [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))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_finite__set,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__subset__Cons,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__all,axiom,
% 183.74/183.87 ! [V_n,V_xs,T_a] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__take__subset__set__take,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__take__subset,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__sublist__subset,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__take,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n,V_i] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Suc__Cons,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_notin__set__sublistI,axiom,
% 183.74/183.87 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => ~ 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__takeD,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__sublistD,axiom,
% 183.74/183.87 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__ConsD,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => ( V_y_2 = V_x_2
% 183.74/183.87 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__take,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__take,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__upt__eq__take,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_card__length,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_all__set__conv__all__nth,axiom,
% 183.74/183.87 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.87 ( ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.87 <=> ! [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__size__estimation,axiom,
% 183.74/183.87 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__size__estimation_H,axiom,
% 183.74/183.87 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__lists__conv__set,axiom,
% 183.74/183.87 ! [V_A_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 183.74/183.87 <=> ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__pos__if__in__set,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__mem,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_na_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__conv__nth,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 <=> ? [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__eq__set,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__conv__nth,axiom,
% 183.74/183.87 ! [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))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_finite__lists__length__eq,axiom,
% 183.74/183.87 ! [V_na_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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))))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_finite__lists__length__le,axiom,
% 183.74/183.87 ! [V_na_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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))))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__iff__zip,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_x] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__zip,axiom,
% 183.74/183.87 ! [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)))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__zip,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__zip,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__Cons__Cons,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__eq__iff__zip__eq,axiom,
% 183.74/183.87 ! [T_b,V_ys_2,V_xs_2] :
% 183.74/183.87 ( V_xs_2 = V_ys_2
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_x] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__zipE,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__zip__rightD,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__zip__leftD,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__same,axiom,
% 183.74/183.87 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 & V_a_2 = V_b_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__zip,axiom,
% 183.74/183.87 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_greaterThanLessThan__upto,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__setsum__nth,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__upto,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_atLeastAtMost__upto,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 183.74/183.87 ! [V_ns_2] :
% 183.74/183.87 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 <=> ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 183.74/183.87 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__simps_I2_J,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_a)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_elem__le__listsum__nat,axiom,
% 183.74/183.87 ! [V_ns,V_k] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_atLeastLessThan__upto,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_greaterThanAtMost__upto,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__list__def,axiom,
% 183.74/183.87 ! [V_l_2] :
% 183.74/183.87 ( c_List_Onat__list(V_l_2)
% 183.74/183.87 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__size__pointwise,axiom,
% 183.74/183.87 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 183.74/183.87 ( ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__update__nat,axiom,
% 183.74/183.87 ! [V_n,V_ns,V_k] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__take,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__beyond,axiom,
% 183.74/183.87 ! [V_x,V_i,V_xs,T_a] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__id,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__list__update__neq,axiom,
% 183.74/183.87 ! [V_x,V_xs,T_a,V_j,V_i] :
% 183.74/183.87 ( V_i != V_j
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__list__update,axiom,
% 183.74/183.87 ! [V_x,V_xs,T_a,V_k] :
% 183.74/183.87 ( ( 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))
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( 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))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__list__update,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__update,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_update__zip,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__swap,axiom,
% 183.74/183.87 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 183.74/183.87 ( V_i != V_i_H
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__overwrite,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__code_I2_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__code_I3_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__butlastD,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__update__subsetI,axiom,
% 183.74/183.87 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__update__subset__insert,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__list__update__eq,axiom,
% 183.74/183.87 ! [V_x,V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__same__conv,axiom,
% 183.74/183.87 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 183.74/183.87 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__list__update,axiom,
% 183.74/183.87 ! [V_x,V_j,V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( ( V_i = V_j
% 183.74/183.87 => 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 )
% 183.74/183.87 & ( V_i != V_j
% 183.74/183.87 => 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) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__butlast,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__butlast,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__update__memI,axiom,
% 183.74/183.87 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__conv__take,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1__iff__update,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ? [B_y,B_n] :
% 183.74/183.87 ( 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))
% 183.74/183.87 & 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)))
% 183.74/183.87 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__list__update,axiom,
% 183.74/183.87 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => ( ~ 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))))))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__upto,axiom,
% 183.74/183.87 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__take,axiom,
% 183.74/183.87 ! [V_i,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__sublistI,axiom,
% 183.74/183.87 ! [V_I_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__zipI2,axiom,
% 183.74/183.87 ! [V_xs,T_b,V_ys,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__zipI1,axiom,
% 183.74/183.87 ! [V_ys,T_b,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct_Osimps_I2_J,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 183.74/183.87 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__card,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_card__distinct,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__eq__iff__index__eq,axiom,
% 183.74/183.87 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => ( 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)
% 183.74/183.87 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__conv__nth,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 <=> ! [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ! [B_j] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( B_i != B_j
% 183.74/183.87 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Ocard_H__def,axiom,
% 183.74/183.87 ! [V_A_2,T_b] :
% 183.74/183.87 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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)))) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__take__lemma,axiom,
% 183.74/183.87 ! [V_ys,V_xs,T_a,V_k] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => ( ! [B_i] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 183.74/183.87 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 183.74/183.87 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__remove1__eq,axiom,
% 183.74/183.87 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Cons__number__of,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_v] :
% 183.74/183.87 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists_ONil,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Nil2,axiom,
% 183.74/183.87 ! [V_r_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Nil1,axiom,
% 183.74/183.87 ! [V_r_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__butlast,axiom,
% 183.74/183.87 ! [T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct_Osimps_I1_J,axiom,
% 183.74/183.87 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__remove1,axiom,
% 183.74/183.87 ! [V_x,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast_Osimps_I1_J,axiom,
% 183.74/183.87 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast_Osimps_I2_J,axiom,
% 183.74/183.87 ! [V_x,T_a,V_xs] :
% 183.74/183.87 ( ( V_xs = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 183.74/183.87 & ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1_Osimps_I2_J,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_y,V_x] :
% 183.74/183.87 ( ( V_x = V_y
% 183.74/183.87 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 183.74/183.87 & ( V_x != V_y
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osimps_I3_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upto__empty,axiom,
% 183.74/183.87 ! [V_i,V_j] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 183.74/183.87 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__0,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__eq__Nil,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Nil,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__nil,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1_Osimps_I1_J,axiom,
% 183.74/183.87 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1__commute,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrelp_ONil,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrelp_Oequations_I1_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__Nil,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__simps_I1_J,axiom,
% 183.74/183.87 ! [T_a] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_a)
% 183.74/183.87 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osize_I3_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__0__conv,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__empty2,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__empty,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__nonempty,axiom,
% 183.74/183.87 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__code_I1_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osize_I1_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1__idem,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_notin__set__remove1,axiom,
% 183.74/183.87 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => ~ 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__remove1,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 183.74/183.87 ( V_a_2 != V_b_2
% 183.74/183.87 => ( 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))))
% 183.74/183.87 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__empty,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__remove1__subset,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__greater__0__conv,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__1__Cons,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_not__listrel1__Nil,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_not__Nil__listrel1,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel_ONil,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__Nil__right,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nil2__notin__lex,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nil__notin__lex,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Cons,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upto_Osimps,axiom,
% 183.74/183.87 ! [V_j,V_i] :
% 183.74/183.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.74/183.87 => 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)) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.74/183.87 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__singleton,axiom,
% 183.74/183.87 ! [V_x_2,T_b,V_A_2] :
% 183.74/183.87 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 183.74/183.87 => 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)) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__empty,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Cons_H,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_n] :
% 183.74/183.87 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upto__rec__number__of,axiom,
% 183.74/183.87 ! [V_n,V_m] :
% 183.74/183.87 ( ( 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)))
% 183.74/183.87 => 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))) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel__Nil,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__Cons__sing__Nil,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__remove1,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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)) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upto_Opsimps,axiom,
% 183.74/183.87 ! [V_j_2,V_i_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 183.74/183.87 => 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)) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 183.74/183.87 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select,axiom,
% 183.74/183.87 ! [V_s_2,T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listset_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__Cons1,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osimps_I5_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list_Osimps_I4_J,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listset_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__Cons,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sorted__list__of__set__remove,axiom,
% 183.74/183.87 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upto_Opinduct,axiom,
% 183.74/183.87 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( ! [B_i,B_j] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 183.74/183.87 => 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)) )
% 183.74/183.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 183.74/183.87 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sorted__list__of__set__empty,axiom,
% 183.74/183.87 ! [T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_anamorph_Osimps,axiom,
% 183.74/183.87 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 183.74/183.87 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__Cons,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append1__eq__conv,axiom,
% 183.74/183.87 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( V_xs_2 = V_ys_2
% 183.74/183.87 & V_x_2 = V_y_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__eq__append__conv,axiom,
% 183.74/183.87 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 183.74/183.87 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 183.74/183.87 | ? [B_ys_H] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 183.74/183.87 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__eq__Cons__conv,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 183.74/183.87 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 183.74/183.87 | ? [B_ys_H] :
% 183.74/183.87 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 183.74/183.87 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Cons__eq__appendI,axiom,
% 183.74/183.87 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 183.74/183.87 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 183.74/183.87 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__Cons,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__in__lists__conv,axiom,
% 183.74/183.87 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 183.74/183.87 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__assoc,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__eq__append__conv2,axiom,
% 183.74/183.87 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ? [B_us] :
% 183.74/183.87 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 183.74/183.87 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 183.74/183.87 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 183.74/183.87 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_same__append__eq,axiom,
% 183.74/183.87 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> V_ys_2 = V_zs_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__same__eq,axiom,
% 183.74/183.87 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> V_ys_2 = V_zs_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__eq__appendI,axiom,
% 183.74/183.87 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 183.74/183.87 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 183.74/183.87 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__append,axiom,
% 183.74/183.87 ! [V_ys,V_xs,T_a] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_a)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__append,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__append,axiom,
% 183.74/183.87 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( 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)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__append,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_eq__Nil__appendI,axiom,
% 183.74/183.87 ! [T_a,V_ys,V_xs] :
% 183.74/183.87 ( V_xs = V_ys
% 183.74/183.87 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__self__conv2,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__self__conv,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 183.74/183.87 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__is__Nil__conv,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 183.74/183.87 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_self__append__conv2,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_ys_2] :
% 183.74/183.87 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_self__append__conv,axiom,
% 183.74/183.87 ! [V_ys_2,T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 183.74/183.87 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__Nil2,axiom,
% 183.74/183.87 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nil__is__append__conv,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 183.74/183.87 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 183.74/183.87 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__Nil,axiom,
% 183.74/183.87 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__append,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_ys] :
% 183.74/183.87 ( ( V_ys = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 183.74/183.87 & ( V_ys != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__append__length,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__append__length__plus,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__append,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__append1,axiom,
% 183.74/183.87 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__length,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1__append,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__butlast__appendI,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 183.74/183.87 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 183.74/183.87 => 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))))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__snoc,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__listrel1I,axiom,
% 183.74/183.87 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( ( ( 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)))
% 183.74/183.87 & V_us_2 = V_vs_2 )
% 183.74/183.87 | ( V_xs_2 = V_ys_2
% 183.74/183.87 & 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))) ) )
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__append__leftI,axiom,
% 183.74/183.87 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__append,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 183.74/183.87 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 183.74/183.87 & 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__append,axiom,
% 183.74/183.87 ! [V_ys,V_xs,T_a,V_n] :
% 183.74/183.87 ( ( 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)))
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__update__append,axiom,
% 183.74/183.87 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 183.74/183.87 ( ( 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)))
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublist__append,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1I,axiom,
% 183.74/183.87 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ( 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))
% 183.74/183.87 => ( 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))
% 183.74/183.87 => 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__append__left__rightI,axiom,
% 183.74/183.87 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Suc__conv__app__nth,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ( ( 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)))
% 183.74/183.87 & V_x_2 = V_y_2 )
% 183.74/183.87 | ( V_xs_2 = V_ys_2
% 183.74/183.87 & 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listrel1E,axiom,
% 183.74/183.87 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ~ ! [B_x,B_y] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => ! [B_us,B_vs] :
% 183.74/183.87 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 183.74/183.87 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__append__leftD,axiom,
% 183.74/183.87 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( ! [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))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate1__def,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_upd__conv__take__nth__drop,axiom,
% 183.74/183.87 ! [V_a,V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__take__drop__id,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Suc__Cons,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__1__Cons,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__via__drop,axiom,
% 183.74/183.87 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 183.74/183.87 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct1__rotate,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 183.74/183.87 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__drop,axiom,
% 183.74/183.87 ! [V_i,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__butlast,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_butlast__drop,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__take,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__drop,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__0,axiom,
% 183.74/183.87 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__drop,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__zip,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__rotate1,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__drop,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__rotate1,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__set__dropD,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__drop__subset,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate1__is__Nil__conv,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Nil,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__drop__subset__set__drop,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__eq__Nil,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__all,axiom,
% 183.74/183.87 ! [V_n,V_xs,T_a] :
% 183.74/183.87 ( 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))
% 183.74/183.87 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__append,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__eq__conv__conj,axiom,
% 183.74/183.87 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Cons,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Cons_H,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_n] :
% 183.74/183.87 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__drop,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_i,V_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__eq__append__conv__if,axiom,
% 183.74/183.87 ! [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] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ( ( 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)))
% 183.74/183.87 => ( 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)
% 183.74/183.87 & 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) ) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => ( 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
% 183.74/183.87 & 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 ) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__drop_H,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__simps,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_b,T_a] :
% 183.74/183.87 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 183.74/183.87 & 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Cons__number__of,axiom,
% 183.74/183.87 ! [V_xs,V_x,T_a,V_v] :
% 183.74/183.87 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__add,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_j,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate1__length01,axiom,
% 183.74/183.87 ! [V_xs,T_a] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__append2,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__append1,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_id__take__nth__drop,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__hd__drop,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__drop__conv__nth,axiom,
% 183.74/183.87 ! [V_n,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd_Osimps,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__append,axiom,
% 183.74/183.87 ! [V_ys,T_a,V_xs] :
% 183.74/183.87 ( ( V_xs = c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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) )
% 183.74/183.87 & ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__append2,axiom,
% 183.74/183.87 ! [V_ys,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__in__set,axiom,
% 183.74/183.87 ! [T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__conv__nth,axiom,
% 183.74/183.87 ! [T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate1__hd__tl,axiom,
% 183.74/183.87 ! [T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__rotate__conv__nth,axiom,
% 183.74/183.87 ! [V_n,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl__drop,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__tl,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__rotate,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 183.74/183.87 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__tl,axiom,
% 183.74/183.87 ! [V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__rotate,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate0,axiom,
% 183.74/183.87 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__add,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__rotate,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__rotate,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__is__Nil__conv,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,T_b] :
% 183.74/183.87 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl_Osimps_I1_J,axiom,
% 183.74/183.87 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate1__rotate__swap,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__def,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl__append2,axiom,
% 183.74/183.87 ! [V_ys,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__tl,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__conv__mod,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__Suc,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__Suc,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl__append,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__id,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__length01,axiom,
% 183.74/183.87 ! [V_n,V_xs,T_a] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__tl,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_tl__take,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__Suc,axiom,
% 183.74/183.87 ! [V_n,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__drop__take,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_fold1__set,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 183.74/183.87 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__append__rightI,axiom,
% 183.74/183.87 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 183.74/183.87 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__Nil,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_start__le__sum,axiom,
% 183.74/183.87 ! [V_ns_2,V_na_2,V_m_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__absorb0,axiom,
% 183.74/183.87 ! [V_zs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__assoc,axiom,
% 183.74/183.87 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Groups_Osemigroup__add(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__Cons,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__append,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__foldl,axiom,
% 183.74/183.87 ! [T_b] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sum__eq__0__conv,axiom,
% 183.74/183.87 ! [V_ns_2,V_m_2] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 & ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 183.74/183.87 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 183.74/183.87 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Sup__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Inf__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Sup__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Lattices_Olattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Inf__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Lattices_Olattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Min__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Max__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_SUPR__set__fold,axiom,
% 183.74/183.87 ! [V_f_2,V_xs_2,T_c,T_b] :
% 183.74/183.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_INFI__set__fold,axiom,
% 183.74/183.87 ! [V_f_2,V_xs_2,T_c,T_b] :
% 183.74/183.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_elem__le__sum,axiom,
% 183.74/183.87 ! [V_ns_2,V_na_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sorted__list__of__set__insert,axiom,
% 183.74/183.87 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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)))))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lexord__Nil__left,axiom,
% 183.74/183.87 ! [V_r_2,V_y_2,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__key_Osimps_I1_J,axiom,
% 183.74/183.87 ! [V_x_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__key_Osimps_I2_J,axiom,
% 183.74/183.87 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( ( 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)))
% 183.74/183.87 => 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)) )
% 183.74/183.87 & ( ~ 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)))
% 183.74/183.87 => 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__insort,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__insort,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_fun__left__comm__insort,axiom,
% 183.74/183.87 ! [T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__left__comm,axiom,
% 183.74/183.87 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__key__left__comm,axiom,
% 183.74/183.87 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remove1__insort,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__not__Nil,axiom,
% 183.74/183.87 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__insort,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => ( 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)))
% 183.74/183.87 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__insert__insort__key,axiom,
% 183.74/183.87 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( ~ 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))))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__insert__insort,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__insort__insert,axiom,
% 183.74/183.87 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_c)
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__insert__triv,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__insort__insert,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_insort__insert__key__triv,axiom,
% 183.74/183.87 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Orderings_Olinorder(T_b)
% 183.74/183.87 => ( 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))))
% 183.74/183.87 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__list__update,axiom,
% 183.74/183.87 ! [V_x,V_k,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => ( ( 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))
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 183.74/183.87 & ( 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))
% 183.74/183.87 => 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) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__conv__nth,axiom,
% 183.74/183.87 ! [T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__ConsL,axiom,
% 183.74/183.87 ! [V_x,T_a,V_xs] :
% 183.74/183.87 ( V_xs = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__ConsR,axiom,
% 183.74/183.87 ! [V_x,T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last_Osimps,axiom,
% 183.74/183.87 ! [V_x,T_a,V_xs] :
% 183.74/183.87 ( ( V_xs = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 183.74/183.87 & ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__appendL,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_ys] :
% 183.74/183.87 ( V_ys = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__appendR,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_ys] :
% 183.74/183.87 ( V_ys != c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__append,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_ys] :
% 183.74/183.87 ( ( V_ys = c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 183.74/183.87 & ( V_ys != c_List_Olist_ONil(T_a)
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__in__set,axiom,
% 183.74/183.87 ! [T_b,V_as_2] :
% 183.74/183.87 ( V_as_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__snoc,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__drop,axiom,
% 183.74/183.87 ! [V_xs,T_a,V_n] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_snoc__eq__iff__butlast,axiom,
% 183.74/183.87 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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
% 183.74/183.87 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 183.74/183.87 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__butlast__last__id,axiom,
% 183.74/183.87 ! [T_a,V_xs] :
% 183.74/183.87 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.87 => 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 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists_Osimps,axiom,
% 183.74/183.87 ! [V_A_2,V_a_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 183.74/183.87 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 183.74/183.87 | ? [B_a,B_l] :
% 183.74/183.87 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 183.74/183.87 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.74/183.87 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select__weigth__select,axiom,
% 183.74/183.87 ! [T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__mapI,axiom,
% 183.74/183.87 ! [V_f_2,T_c,T_b] :
% 183.74/183.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_last__map,axiom,
% 183.74/183.87 ! [V_f_2,T_c,T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_foldl__map,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__tl,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_rotate__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__same__conv__map,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__map2,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__zip__map2,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__zip__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__map1,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__map__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nil__is__map__conv,axiom,
% 183.74/183.87 ! [V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__is__Nil__conv,axiom,
% 183.74/183.87 ! [V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__update,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__eq__conv,axiom,
% 183.74/183.87 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 183.74/183.87 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__eq__imp__length__eq,axiom,
% 183.74/183.87 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__map,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__addf,axiom,
% 183.74/183.87 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__const__mult,axiom,
% 183.74/183.87 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 183.74/183.87 ( class_Rings_Osemiring__0(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__mult__const,axiom,
% 183.74/183.87 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( class_Rings_Osemiring__0(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__0,axiom,
% 183.74/183.87 ! [V_xs_2,T_c,T_b] :
% 183.74/183.87 ( class_Groups_Omonoid__add(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__subtractf,axiom,
% 183.74/183.87 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__map__eq__map,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.87 => ( 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)
% 183.74/183.87 <=> V_xs_2 = V_ys_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__injective,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 183.74/183.87 => V_xs_2 = V_ys_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__ident,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_take__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__butlast,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__append,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_hd__map,axiom,
% 183.74/183.87 ! [V_f_2,T_c,T_b,V_xs_2] :
% 183.74/183.87 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_drop__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Omap_Oidentity,axiom,
% 183.74/183.87 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__map,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Omap_Ocompositionality,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__comp__map,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Omap_Ocomp,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__size__map,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_List_Omap_Oid,axiom,
% 183.74/183.87 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__on__map__eq__map,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( 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)
% 183.74/183.87 <=> V_xs_2 = V_ys_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__inj__on,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => V_xs_2 = V_ys_2 ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nth__map,axiom,
% 183.74/183.87 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__fun__upd,axiom,
% 183.74/183.87 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 183.74/183.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__map,axiom,
% 183.74/183.87 ! [V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 183.74/183.87 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 183.74/183.87 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__abs,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_uminus__listsum__map,axiom,
% 183.74/183.87 ! [V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( class_Groups_Oab__group__add(T_b)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__on__mapI,axiom,
% 183.74/183.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__mapD,axiom,
% 183.74/183.87 ! [V_f_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_inj__map,axiom,
% 183.74/183.87 ! [V_f_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 183.74/183.87 ! [V_f_2,V_xs_2,T_b,T_c] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__triv,axiom,
% 183.74/183.87 ! [V_xs_2,V_r_2,T_c,T_b] :
% 183.74/183.87 ( class_Rings_Osemiring__1(T_b)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__map__remove1,axiom,
% 183.74/183.87 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 183.74/183.87 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.87 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => 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))))) )
% 183.74/183.87 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.87 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_pick__same,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_l_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 183.74/183.87 ! [V_m_2,V_na_2] :
% 183.74/183.87 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 183.74/183.87 <=> V_na_2 = V_m_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 183.74/183.87 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_times__code__numeral__code,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zero__code__numeral__def,axiom,
% 183.74/183.87 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_one__code__numeral__def,axiom,
% 183.74/183.87 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_less__code__numeral__code,axiom,
% 183.74/183.87 ! [V_m_2,V_na_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 183.74/183.87 ! [V_y_2,V_x_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.87 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 183.74/183.87 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__fst__zip,axiom,
% 183.74/183.87 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => 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 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__snd__zip,axiom,
% 183.74/183.87 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => 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 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_number__of__code__numeral__def,axiom,
% 183.74/183.87 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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__map__fst__snd,axiom,
% 183.74/183.87 ! [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 ).
% 183.74/183.87
% 183.74/183.87 fof(fact_plus__code__numeral__code,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_less__eq__code__numeral__code,axiom,
% 183.74/183.87 ! [V_m_2,V_na_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_subtract__code__numeral__code,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_pick__member,axiom,
% 183.74/183.87 ! [V_xs_2,T_b,V_i_2] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_zip__eq__conv,axiom,
% 183.74/183.87 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 183.74/183.87 <=> ( 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
% 183.74/183.87 & 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 ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__size__conv__listsum,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_code__numeral__not__eq__zero,axiom,
% 183.74/183.87 ! [V_i_2] :
% 183.74/183.87 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.74/183.87 <=> 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 183.74/183.87 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 183.74/183.87 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 183.74/183.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select__weight__member,axiom,
% 183.74/183.87 ! [V_s_2,V_xs_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select__weight__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_select__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsum__mono,axiom,
% 183.74/183.87 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 183.74/183.87 ( ( class_Groups_Omonoid__add(T_c)
% 183.74/183.87 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 183.74/183.87 => ( ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 183.74/183.87 => 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)))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of__of__nat,axiom,
% 183.74/183.87 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 183.74/183.87
% 183.74/183.87 fof(fact_of__nat__nat__of,axiom,
% 183.74/183.87 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of__inverse,axiom,
% 183.74/183.87 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 183.74/183.87
% 183.74/183.87 fof(fact_code__numeral_Onat__of__inject,axiom,
% 183.74/183.87 ! [V_y_2,V_x_2] :
% 183.74/183.87 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 183.74/183.87 <=> V_x_2 = V_y_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 183.74/183.87 ! [V_l_2,V_k_2] :
% 183.74/183.87 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 183.74/183.87 <=> V_k_2 = V_l_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_times__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_type__definition__code__numeral,axiom,
% 183.74/183.87 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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_less__code__numeral__def,axiom,
% 183.74/183.87 ! [V_m_2,V_na_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 183.74/183.87 <=> 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of__number,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_int__of__def,axiom,
% 183.74/183.87 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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_less__eq__code__numeral__def,axiom,
% 183.74/183.87 ! [V_m_2,V_na_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 183.74/183.87 <=> 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of__code,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_nat__of__aux__def,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_Suc__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_minus__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_of__nat__inverse,axiom,
% 183.74/183.87 ! [V_y_2] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.87 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_plus__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_div__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_mod__code__numeral__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_code__numeral__decr,axiom,
% 183.74/183.87 ! [V_k] :
% 183.74/183.87 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_partition__set,axiom,
% 183.74/183.87 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_partition__P,axiom,
% 183.74/183.87 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 183.74/183.87 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.87 & ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 183.74/183.87 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_partition_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_partition_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__IntI,axiom,
% 183.74/183.87 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_lists__Int__eq,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp_ONil,axiom,
% 183.74/183.87 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp_Oequations_I1_J,axiom,
% 183.74/183.87 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_in__listsp__conv__set,axiom,
% 183.74/183.87 ! [V_xs_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 183.74/183.87 <=> ! [B_x] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp__conj__eq,axiom,
% 183.74/183.87 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 183.74/183.87 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp__infI,axiom,
% 183.74/183.87 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp__inf__eq,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp_Oequations_I2_J,axiom,
% 183.74/183.87 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 183.74/183.87 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 183.74/183.87 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_append__in__listsp__conv,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 183.74/183.87 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 183.74/183.87 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp__mono,axiom,
% 183.74/183.87 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.87 => 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))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_listsp__lists__eq,axiom,
% 183.74/183.87 ! [V_x_2,V_A_2,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_product_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__def,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_x] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__map1,axiom,
% 183.74/183.87 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__map2,axiom,
% 183.74/183.87 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 <=> 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__dropI,axiom,
% 183.74/183.87 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__appendI,axiom,
% 183.74/183.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 183.74/183.87 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 183.74/183.87 => 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)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__append,axiom,
% 183.74/183.87 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 => ( 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))
% 183.74/183.87 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__Cons,axiom,
% 183.74/183.87 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( 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))
% 183.74/183.87 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.74/183.87 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__takeI,axiom,
% 183.74/183.87 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__eq,axiom,
% 183.74/183.87 ! [T_b,V_ys_2,V_xs_2] :
% 183.74/183.87 ( V_xs_2 = V_ys_2
% 183.74/183.87 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__lengthD,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => 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) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__Nil2,axiom,
% 183.74/183.87 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 183.74/183.87 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__Nil,axiom,
% 183.74/183.87 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 183.74/183.87 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_product_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__nthD2,axiom,
% 183.74/183.87 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__nthD,axiom,
% 183.74/183.87 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__conv__all__nth,axiom,
% 183.74/183.87 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 <=> ( 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)
% 183.74/183.87 & ! [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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))) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__update__cong2,axiom,
% 183.74/183.87 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.87 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.74/183.87 => ( 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)))
% 183.74/183.87 => 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2__update__cong,axiom,
% 183.74/183.87 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.74/183.87 => 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)) ) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__product,axiom,
% 183.74/183.87 ! [V_ys,T_b,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_product__list__set,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublists__powset,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__sublists,axiom,
% 183.74/183.87 ! [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)) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublists_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_sublists_Osimps_I2_J,axiom,
% 183.74/183.87 ! [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))))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__set__sublists,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.87 => 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)))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__n__lists,axiom,
% 183.74/183.87 ! [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)))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_enum__the__def,axiom,
% 183.74/183.87 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__n__lists,axiom,
% 183.74/183.87 ! [V_n,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_n__lists_Osimps_I1_J,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_n__lists__Nil,axiom,
% 183.74/183.87 ! [T_a,V_n] :
% 183.74/183.87 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => 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))) )
% 183.74/183.87 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.87 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__n__lists,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__n__lists__elem,axiom,
% 183.74/183.87 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_list__all2I,axiom,
% 183.74/183.87 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 183.74/183.87 ( ! [B_x] :
% 183.74/183.87 ( 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))))
% 183.74/183.87 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 183.74/183.87 => ( 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)
% 183.74/183.87 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_all__nth__imp__all__set,axiom,
% 183.74/183.87 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 183.74/183.87 ( ! [B_i] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 183.74/183.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.87 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 183.74/183.87 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_map__removeAll__inj__on,axiom,
% 183.74/183.87 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.87 ( 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)))
% 183.74/183.87 => 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)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__remdups,axiom,
% 183.74/183.87 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__remdups__leq,axiom,
% 183.74/183.87 ! [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))) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remdups__id__iff__distinct,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 183.74/183.87 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__removeAll,axiom,
% 183.74/183.87 ! [V_x,V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_distinct__remdups__id,axiom,
% 183.74/183.87 ! [V_xs,T_a] :
% 183.74/183.87 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.87 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_set__remdups,axiom,
% 183.74/183.87 ! [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) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_length__remdups__eq,axiom,
% 183.74/183.87 ! [V_xs_2,T_b] :
% 183.74/183.87 ( 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)
% 183.74/183.87 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remdups__remdups,axiom,
% 183.74/183.87 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remdups_Osimps_I1_J,axiom,
% 183.74/183.87 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remdups__eq__nil__right__iff,axiom,
% 183.74/183.87 ! [V_x_2,T_b] :
% 183.74/183.87 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 183.74/183.87 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_removeAll_Osimps_I1_J,axiom,
% 183.74/183.87 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.87
% 183.74/183.87 fof(fact_remdups__eq__nil__iff,axiom,
% 183.74/183.87 ! [V_x_2,T_b] :
% 183.74/183.87 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 183.74/183.87 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_removeAll_Osimps_I2_J,axiom,
% 183.74/183.88 ! [V_xs,T_a,V_y,V_x] :
% 183.74/183.88 ( ( V_x = V_y
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( V_x != V_y
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_removeAll__append,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_remdups__map__remdups,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_remove1__remdups,axiom,
% 183.74/183.88 ! [V_x,V_xs,T_a] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_removeAll__id,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__remove1__removeAll,axiom,
% 183.74/183.88 ! [V_x,V_xs,T_a] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.88 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_remdups_Osimps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__remdups__card__conv,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__removeAll__inj,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__removeAll,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__remdups__concat,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sort__key__simps_I1_J,axiom,
% 183.74/183.88 ! [V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldl__conv__concat,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__conv__foldl,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__sort,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__sort,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__sort,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 183.74/183.88 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat_Osimps_I1_J,axiom,
% 183.74/183.88 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Nil__eq__concat__conv,axiom,
% 183.74/183.88 ! [V_xss_2,T_b] :
% 183.74/183.88 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 183.74/183.88 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__eq__Nil__conv,axiom,
% 183.74/183.88 ! [V_xss_2,T_b] :
% 183.74/183.88 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 183.74/183.88 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__concat,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__concat,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__concat,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sort__key__simps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__append,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sort__foldl__insort,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__eq__concat__iff,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => 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)) )
% 183.74/183.88 => ( 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)
% 183.74/183.88 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 183.74/183.88 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__injective,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 183.74/183.88 => ( 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)
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => 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)) )
% 183.74/183.88 => V_xs_2 = V_ys_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__map__singleton,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_n__lists_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Osimps_I3_J,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__aux__filter__head,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__concat,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__sort,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__filter,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sum__length__filter__compl,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__is__subset,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__id__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__filter__le,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__filter,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_remove1__filter__not,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__remove1,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__insort__triv,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_partition__filter1,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_partition__filter2,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_partition__filter__conv,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Osimps_I1_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter_Osimps_I1_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter_Osimps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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)) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__append,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__empty__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__filter__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_removeAll__filter__not,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_remdups__filter,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_removeAll__filter__not__eq,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__transpose,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_i_2] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__map__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__filter,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__filter__less,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__minus__filter__out,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__in__sublist,axiom,
% 183.74/183.88 ! [V_s_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__empty,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 183.74/183.88 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__filter__conv__card,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__aux__filter__tail,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Opsimps_I3_J,axiom,
% 183.74/183.88 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Opsimps_I2_J,axiom,
% 183.74/183.88 ! [V_xss_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sublist__shift__lemma__Suc,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_select__weigth__drop__zero,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pick__drop__zero,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose_Opsimps_I1_J,axiom,
% 183.74/183.88 ! [T_b] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__max__length,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__aux__max,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr_Osimps_I1_J,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr__append,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr__conv__foldl,axiom,
% 183.74/183.88 ! [V_a_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Groups_Oab__semigroup__add(T_b)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr__map,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldl__foldr1,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( class_Groups_Omonoid__add(T_b)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldl__foldr1__lemma,axiom,
% 183.74/183.88 ! [V_xs_2,V_a_2,T_b] :
% 183.74/183.88 ( class_Groups_Omonoid__add(T_b)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__transpose,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sublist__def,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sublist__shift__lemma,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__upt,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_atLeastLessThan__upt,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__Suc__append,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__Suc,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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))) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__add__eq__append,axiom,
% 183.74/183.88 ! [V_k,V_j,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__rec,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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)) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__conv__Cons,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__eq__Nil__conv,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2] :
% 183.74/183.88 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 183.74/183.88 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__conv__Nil,axiom,
% 183.74/183.88 ! [V_i,V_j] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 183.74/183.88 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__0,axiom,
% 183.74/183.88 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_take__upt,axiom,
% 183.74/183.88 ! [V_n,V_m,V_i] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__list__of__set__range,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_hd__upt,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_drop__upt,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__upt,axiom,
% 183.74/183.88 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__upt,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__rec__number__of,axiom,
% 183.74/183.88 ! [V_n,V_m] :
% 183.74/183.88 ( ( 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)))
% 183.74/183.88 => 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))) )
% 183.74/183.88 & ( ~ 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)))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_upt__eq__Cons__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 183.74/183.88 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 183.74/183.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 183.74/183.88 & V_i_2 = V_x_2
% 183.74/183.88 & 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 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_last__upt,axiom,
% 183.74/183.88 ! [V_j,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__Suc__upt,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_atLeastAtMost__upt,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_atLeast__upt,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__upt,axiom,
% 183.74/183.88 ! [V_j,V_k,V_i] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_greaterThanAtMost__upt,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_greaterThanLessThan__upt,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_atMost__upto,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__nth,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 183.74/183.88 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 183.74/183.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 183.74/183.88 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 183.74/183.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__map__upt,axiom,
% 183.74/183.88 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__rectangle,axiom,
% 183.74/183.88 ! [V_na_2,T_b,V_xs_2] :
% 183.74/183.88 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 183.74/183.88 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.74/183.88 => ( ! [B_i] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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 )
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_insort__key__remove1,axiom,
% 183.74/183.88 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 183.74/183.88 => ( 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
% 183.74/183.88 => 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 ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted_ONil,axiom,
% 183.74/183.88 ! [T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__single,axiom,
% 183.74/183.88 ! [V_x,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__upt,axiom,
% 183.74/183.88 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__sort,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__insort__insert,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__drop,axiom,
% 183.74/183.88 ! [V_n,V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__upto,axiom,
% 183.74/183.88 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__take,axiom,
% 183.74/183.88 ! [V_n,V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__remove1,axiom,
% 183.74/183.88 ! [V_a,V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__tl,axiom,
% 183.74/183.88 ! [V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__insort,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( 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))
% 183.74/183.88 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__butlast,axiom,
% 183.74/183.88 ! [V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted_Oequations_I1_J,axiom,
% 183.74/183.88 ! [T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__many,axiom,
% 183.74/183.88 ! [V_zs,V_y,V_x,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 183.74/183.88 => 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))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__many__eq,axiom,
% 183.74/183.88 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( 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)))
% 183.74/183.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__remdups,axiom,
% 183.74/183.88 ! [V_l,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__distinct__set__unique,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 183.74/183.88 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 183.74/183.88 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__sort__key,axiom,
% 183.74/183.88 ! [V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__insort__insert__key,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__map__remove1,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__insort__key,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( 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)))
% 183.74/183.88 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__filter,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__map__same,axiom,
% 183.74/183.88 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__same,axiom,
% 183.74/183.88 ! [V_xs_2,V_g_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__Cons,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 183.74/183.88 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 & ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__append,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 183.74/183.88 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 183.74/183.88 & ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ! [B_xa] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__insort,axiom,
% 183.74/183.88 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 183.74/183.88 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted_Oequations_I2_J,axiom,
% 183.74/183.88 ! [V_a1_2,V_a2_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 183.74/183.88 <=> ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__list__of__set,axiom,
% 183.74/183.88 ! [V_A_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.88 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 183.74/183.88 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_insort__remove1,axiom,
% 183.74/183.88 ! [V_xs_2,V_a_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => 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 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__nth__mono,axiom,
% 183.74/183.88 ! [V_j,V_i,V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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))) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__equals__nth__mono,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 <=> ! [B_j] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ! [B_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 183.74/183.88 => 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))) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__sorted__distinct__set__unique,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 183.74/183.88 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 183.74/183.88 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__column,axiom,
% 183.74/183.88 ! [V_i_2,V_xs_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__nth__transpose__sorted,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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))))
% 183.74/183.88 => ( 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))))
% 183.74/183.88 => 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) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__on__rev,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__rev,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 183.74/183.88 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev_Osimps_I1_J,axiom,
% 183.74/183.88 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Nil__is__rev__conv,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 183.74/183.88 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__is__Nil__conv,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.88 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__singleton__conv,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_singleton__rev__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__append,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__concat,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__filter,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_zip__rev,axiom,
% 183.74/183.88 ! [V_ys,T_b,V_xs,T_a] :
% 183.74/183.88 ( 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)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__rev,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all2__rev1,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.88 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 183.74/183.88 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all2__rev,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__is__rev__conv,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 183.74/183.88 <=> V_xs_2 = V_ys_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__swap,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 183.74/183.88 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__rev__ident,axiom,
% 183.74/183.88 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 183.74/183.88
% 183.74/183.88 fof(fact_listsum__rev,axiom,
% 183.74/183.88 ! [V_xs,T_a] :
% 183.74/183.88 ( class_Groups_Ocomm__monoid__add(T_a)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__rev,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldl__foldr,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr__foldl,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__eq__Cons__iff,axiom,
% 183.74/183.88 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 183.74/183.88 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 183.74/183.88 <=> 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_last__rev,axiom,
% 183.74/183.88 ! [T_a,V_xs] :
% 183.74/183.88 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.88 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_hd__rev,axiom,
% 183.74/183.88 ! [T_a,V_xs] :
% 183.74/183.88 ( V_xs != c_List_Olist_ONil(T_a)
% 183.74/183.88 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__transpose,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__foldl__cons,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__take,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__drop,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rotate__rev,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__nth,axiom,
% 183.74/183.88 ! [V_xs,T_a,V_n] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__update,axiom,
% 183.74/183.88 ! [V_y,V_xs,T_a,V_k] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__rev__nth__mono,axiom,
% 183.74/183.88 ! [V_j,V_i,V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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))) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldr__max__sorted,axiom,
% 183.74/183.88 ! [V_y_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 183.74/183.88 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 183.74/183.88 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 183.74/183.88 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.88 => 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) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__transpose__sorted,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 183.74/183.88 => 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))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__column__length,axiom,
% 183.74/183.88 ! [V_i_2,V_xs_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpose__transpose,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 183.74/183.88 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__takeWhile,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__takeWhile__le,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__eq__all__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__takeWhileD,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_zip__takeWhile__snd,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_zip__takeWhile__fst,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__tail,axiom,
% 183.74/183.88 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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)) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__eq__take,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__takeWhile,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_return__list__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__append1,axiom,
% 183.74/183.88 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__length__takeWhile,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ~ 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))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__nth,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__not__last,axiom,
% 183.74/183.88 ! [T_b,V_xs_2] :
% 183.74/183.88 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 183.74/183.88 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 183.74/183.88 ! [V_l] :
% 183.74/183.88 ( c_List_Onat__list(V_l)
% 183.74/183.88 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_embed__list__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__neq__rev,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__neq__rev,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__dropWhile__id,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__dropWhile,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__dropWhile__le,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__dropWhile,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_hd__dropWhile,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__map,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__append1,axiom,
% 183.74/183.88 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 183.74/183.88 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 <=> ( 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))
% 183.74/183.88 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__eq__drop,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__nth,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => 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)))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_listsum__map__filter,axiom,
% 183.74/183.88 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 183.74/183.88 ( class_Groups_Omonoid__add(T_c)
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.88 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted__nth__monoI,axiom,
% 183.74/183.88 ! [V_xs,T_a] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_a)
% 183.74/183.88 => ( ! [B_i,B_j] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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))) ) )
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__eq__filter,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 183.74/183.88 ( ! [B_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 183.74/183.88 => ( ( 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)))
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 183.74/183.88 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__takeWhile__less__P__nth,axiom,
% 183.74/183.88 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 183.74/183.88 ( ! [B_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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)))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted_Osimps,axiom,
% 183.74/183.88 ! [V_a_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 183.74/183.88 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 183.74/183.88 | ? [B_xs,B_x] :
% 183.74/183.88 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 183.74/183.88 & ! [B_xa] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_List_Oinsert__def,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_not__in__set__insert,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_insert__remdups,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__insert,axiom,
% 183.74/183.88 ! [V_x,V_xs,T_a] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__insert,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_List_Oset__insert,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_insert__Nil,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__map__maps,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_maps__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_maps__simps_I2_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_maps__simps_I1_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_distinct__concat,axiom,
% 183.74/183.88 ! [V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 183.74/183.88 => ( ! [B_ys] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 183.74/183.88 => ( ! [B_ys] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 183.74/183.88 => ! [B_zs] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 183.74/183.88 => ( B_ys != B_zs
% 183.74/183.88 => 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)) ) ) )
% 183.74/183.88 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measures__lesseq,axiom,
% 183.74/183.88 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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)))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_wf__measures,axiom,
% 183.74/183.88 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__measures_I1_J,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measures__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__measures_I2_J,axiom,
% 183.74/183.88 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 <=> ( 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)))
% 183.74/183.88 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 183.74/183.88 & 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))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measures__less,axiom,
% 183.74/183.88 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_foldl__apply,axiom,
% 183.74/183.88 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => 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)) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_order__fun_I2_J,axiom,
% 183.74/183.88 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( ( class_Orderings_Oorder(T_c)
% 183.74/183.88 & class_Enum_Oenum(T_b) )
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.74/183.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.74/183.88 & 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)))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_enum__ex__prod__def,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b,T_c] :
% 183.74/183.88 ( ( class_Enum_Oenum(T_c)
% 183.74/183.88 & class_Enum_Oenum(T_b) )
% 183.74/183.88 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 183.74/183.88 <=> 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))))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_exists__code,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ( class_Enum_Oenum(T_b)
% 183.74/183.88 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.88 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_enum__ex,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ( class_Enum_Oenum(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 183.74/183.88 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_zip__obtain__same__length,axiom,
% 183.74/183.88 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 183.74/183.88 ( ( 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))
% 183.74/183.88 => 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)))) )
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__not__random__dseq__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_dropWhile__append2,axiom,
% 183.74/183.88 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all2__all__nthI,axiom,
% 183.74/183.88 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 => ( ! [B_n] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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))) )
% 183.74/183.88 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_finite__sorted__distinct__unique,axiom,
% 183.74/183.88 ! [V_A_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.88 => ? [B_x] :
% 183.74/183.88 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 183.74/183.88 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 183.74/183.88 & ! [B_y] :
% 183.74/183.88 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 183.74/183.88 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 183.74/183.88 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 183.74/183.88 => B_y = B_x ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_takeWhile__append2,axiom,
% 183.74/183.88 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_insort__is__Cons,axiom,
% 183.74/183.88 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_c)
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__eq__Cons__iff,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 <=> ? [B_us,B_vs] :
% 183.74/183.88 ( 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))
% 183.74/183.88 & ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Cons__eq__filter__iff,axiom,
% 183.74/183.88 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 <=> ? [B_us,B_vs] :
% 183.74/183.88 ( 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))
% 183.74/183.88 & ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 183.74/183.88 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_order__fun_I1_J,axiom,
% 183.74/183.88 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( ( class_Orderings_Oorder(T_c)
% 183.74/183.88 & class_Enum_Oenum(T_b) )
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.74/183.88 <=> 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_enum__all,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ( class_Enum_Oenum(T_b)
% 183.74/183.88 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 183.74/183.88 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_all__code,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ( class_Enum_Oenum(T_b)
% 183.74/183.88 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.74/183.88 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_enum__all__prod__def,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b,T_c] :
% 183.74/183.88 ( ( class_Enum_Oenum(T_c)
% 183.74/183.88 & class_Enum_Oenum(T_b) )
% 183.74/183.88 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 183.74/183.88 <=> 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))))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ball__nth,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sorted_OCons,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( class_Orderings_Olinorder(T_b)
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 183.74/183.88 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 183.74/183.88 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__length,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ? [B_n] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__conv__decomp,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 <=> ? [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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__simps_I2_J,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__append,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 183.74/183.88 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__iff,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__rev,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 183.74/183.88 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__simps_I1_J,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 183.74/183.88 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__conv__decomp__first,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 <=> ? [B_ys] :
% 183.74/183.88 ( ? [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))
% 183.74/183.88 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__conv__decomp__last,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 <=> ? [B_ys,B_zs] :
% 183.74/183.88 ( 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))
% 183.74/183.88 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__length,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ! [B_n] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measure__function__int,axiom,
% 183.74/183.88 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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__simps_I2_J,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__append,axiom,
% 183.74/183.88 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 183.74/183.88 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measure__size,axiom,
% 183.74/183.88 ! [T_b] :
% 183.74/183.88 ( class_Nat_Osize(T_b)
% 183.74/183.88 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_is__measure_Ointros,axiom,
% 183.74/183.88 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_is__measure_Oequations,axiom,
% 183.74/183.88 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_is__measure_Osimps,axiom,
% 183.74/183.88 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__iff,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measure__fst,axiom,
% 183.74/183.88 ! [T_c,V_f_2,T_b] :
% 183.74/183.88 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_measure__snd,axiom,
% 183.74/183.88 ! [T_c,V_f_2,T_b] :
% 183.74/183.88 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__rev,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 183.74/183.88 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__simps_I1_J,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 183.74/183.88 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Ball__set__list__all,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__iff__raw,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex1__simps_I2_J,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 183.74/183.88 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transfer__morphism__int__nat,axiom,
% 183.74/183.88 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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex1__simps_I1_J,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bool_Osize_I3_J,axiom,
% 183.74/183.88 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bool_Osize_I4_J,axiom,
% 183.74/183.88 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex1__iff,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.88 & ! [B_y] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 183.74/183.88 => B_y = B_x ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 183.74/183.88 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 183.74/183.88 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 183.74/183.88 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 183.74/183.88 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 183.74/183.88 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__empty__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_neg__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_neg__map__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_neg__single__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__bind__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__map__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__single__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__splice,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_splice_Osimps_I3_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_splice__Nil2,axiom,
% 183.74/183.88 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 183.74/183.88
% 183.74/183.88 fof(fact_splice_Osimps_I1_J,axiom,
% 183.74/183.88 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 183.74/183.88
% 183.74/183.88 fof(fact_splice_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Opos__single__def,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_acyclicP__converse,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 <=> 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_converse__meet,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_converse__join,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep__noteq,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> V_x_2 != V_y_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep__eq,axiom,
% 183.74/183.88 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep__conversep,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep__iff,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep_Oequations,axiom,
% 183.74/183.88 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep_Ointros,axiom,
% 183.74/183.88 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversepD,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_converse__pred__comp,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_conversep__converse__eq,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_tl__replicate,axiom,
% 183.74/183.88 ! [V_x,T_a,V_n] :
% 183.74/183.88 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__length__filter,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_length__replicate,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__replicate__const,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__app__Cons__same,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__Suc,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rev__replicate,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_drop__replicate,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_hd__replicate,axiom,
% 183.74/183.88 ! [V_x,T_a,V_n] :
% 183.74/183.88 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_last__replicate,axiom,
% 183.74/183.88 ! [V_x,T_a,V_n] :
% 183.74/183.88 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_take__replicate,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_zip__replicate,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Ball__set__replicate,axiom,
% 183.74/183.88 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.88 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Bex__set__replicate,axiom,
% 183.74/183.88 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 183.74/183.88 ( ? [B_x] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 183.74/183.88 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__eq__replicate,axiom,
% 183.74/183.88 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 183.74/183.88 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 183.74/183.88 <=> ( V_m_2 = V_na_2
% 183.74/183.88 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => V_x_2 = V_y_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nth__replicate,axiom,
% 183.74/183.88 ! [V_x,T_a,V_n,V_i] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 183.74/183.88 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_append__replicate__commute,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__add,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_filter__replicate,axiom,
% 183.74/183.88 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 183.74/183.88 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_concat__replicate__trivial,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__empty,axiom,
% 183.74/183.88 ! [V_x_2,V_na_2,T_b] :
% 183.74/183.88 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 183.74/183.88 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_empty__replicate,axiom,
% 183.74/183.88 ! [V_x_2,V_na_2,T_b] :
% 183.74/183.88 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 183.74/183.88 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__0,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__replicate,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__replicate,axiom,
% 183.74/183.88 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 183.74/183.88 ( 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))))
% 183.74/183.88 <=> ( V_x_2 = V_y_2
% 183.74/183.88 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_replicate__append__same,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_map__replicate__trivial,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__replicate__conv__if,axiom,
% 183.74/183.88 ! [V_x_2,T_b,V_na_2] :
% 183.74/183.88 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => 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)) )
% 183.74/183.88 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__replicate,axiom,
% 183.74/183.88 ! [V_x_2,T_b,V_na_2] :
% 183.74/183.88 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_set__replicate__Suc,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy__list_Osimps,axiom,
% 183.74/183.88 ! [V_d_2,T_b] :
% 183.74/183.88 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 183.74/183.88 => 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)))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_eq__comp__r,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy__prod__def,axiom,
% 183.74/183.88 ! [V_d,T_b,T_a] :
% 183.74/183.88 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 183.74/183.88 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_New__DSequence_Opos__union__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact__01,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Oinject,axiom,
% 183.74/183.88 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 <=> ( V_a_2 = V_a_H_2
% 183.74/183.88 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_pos__union__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy_H_Osimps,axiom,
% 183.74/183.88 ! [V_i,V_d] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 183.74/183.88 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 183.74/183.88 => 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)))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy_H_Opsimps,axiom,
% 183.74/183.88 ! [V_i_2,V_d_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 183.74/183.88 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 183.74/183.88 => 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)))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy__int__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_small__lazy_H_Opinduct,axiom,
% 183.74/183.88 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ! [B_d,B_i] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 183.74/183.88 => 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)))) )
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_size__code,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence__size__code,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_seq__case,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_yieldn__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_refl__on__INTER,axiom,
% 183.74/183.88 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.88 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_List_Omember__def,axiom,
% 183.74/183.88 ! [V_x_2,V_xs_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_member__rec_I2_J,axiom,
% 183.74/183.88 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_member__set,axiom,
% 183.74/183.88 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_member__rec_I1_J,axiom,
% 183.74/183.88 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> ( V_x_2 = V_y_2
% 183.74/183.88 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__set__member,axiom,
% 183.74/183.88 ! [V_xs_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex1__iff__raw,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.88 & ! [B_y] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 183.74/183.88 => B_y = B_x ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_setsum__UNION__zero,axiom,
% 183.74/183.88 ! [V_f_2,V_S_2,T_b,T_c] :
% 183.74/183.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 183.74/183.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 183.74/183.88 => ( ! [B_T1] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 183.74/183.88 => ! [B_T2] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 183.74/183.88 => ( B_T1 != B_T2
% 183.74/183.88 => ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 183.74/183.88 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 183.74/183.88 => 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) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_THE__default__def,axiom,
% 183.74/183.88 ! [V_d_2,T_b,V_Pa_2] :
% 183.74/183.88 ( ( ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.88 & ! [B_y] :
% 183.74/183.88 ( hBOOL(hAPP(V_Pa_2,B_y))
% 183.74/183.88 => B_y = B_x ) )
% 183.74/183.88 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 183.74/183.88 & ( ~ ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.74/183.88 & ! [B_y] :
% 183.74/183.88 ( hBOOL(hAPP(V_Pa_2,B_y))
% 183.74/183.88 => B_y = B_x ) )
% 183.74/183.88 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_SUP2__E,axiom,
% 183.74/183.88 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ~ ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.88 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_INF2__I,axiom,
% 183.74/183.88 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_finite__maxlen,axiom,
% 183.74/183.88 ! [V_M_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 183.74/183.88 => ? [B_n] :
% 183.74/183.88 ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact__02,axiom,
% 183.74/183.88 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__all__iff__all__interval__int,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.88 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 183.74/183.88 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.88 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 183.74/183.88 <=> ~ 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_all__interval__int__def,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.88 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Random_Osimps,axiom,
% 183.74/183.88 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 183.74/183.88 ( ( 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)))
% 183.74/183.88 => 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)) )
% 183.74/183.88 & ( ~ 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)))
% 183.74/183.88 => 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))))))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Random__Sequence_Oempty__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Random__Sequence_Osingle__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Random__Sequence_Omap__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_exE__realizer,axiom,
% 183.74/183.88 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( ! [B_x,B_y] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 183.74/183.88 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Image__Collect__split,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lexord__trans,axiom,
% 183.74/183.88 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => 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))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__less__than,axiom,
% 183.74/183.88 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__lex__prod,axiom,
% 183.74/183.88 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_R1_2)
% 183.74/183.88 => ( c_Relation_Otrans(T_c,V_R2_2)
% 183.74/183.88 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__def,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 <=> ! [B_x,B_y] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ! [B_z] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transD,axiom,
% 183.74/183.88 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ( 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))
% 183.74/183.88 => 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)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__rtrancl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__finite__psubset,axiom,
% 183.74/183.88 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__Id__on,axiom,
% 183.74/183.88 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__trancl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trancl__id,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__Id,axiom,
% 183.74/183.88 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lexord__transI,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__converse,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.88 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bex__empty,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ~ ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_listrel__trans,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_finite__Collect__bex,axiom,
% 183.74/183.88 ! [V_Q_2,T_c,V_A_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.88 => ( 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)))))
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.88 => 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)))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bex__UNIV,axiom,
% 183.74/183.88 ! [V_Pa_2,T_b] :
% 183.74/183.88 ( ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__Int,axiom,
% 183.74/183.88 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Otrans(T_b,V_s_2)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_SUPR__bool__eq,axiom,
% 183.74/183.88 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__O__subset,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__inv__image,axiom,
% 183.74/183.88 ! [V_f_2,T_c,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__reflclI,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Union__eq,axiom,
% 183.74/183.88 ! [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)))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Bex__set__list__ex,axiom,
% 183.74/183.88 ! [V_Pa_2,V_xs_2,T_b] :
% 183.74/183.88 ( ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_list__ex__iff__raw,axiom,
% 183.74/183.88 ! [V_xs_2,V_Pa_2,T_b] :
% 183.74/183.88 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 183.74/183.88 <=> ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_UN__eq,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_INT__eq,axiom,
% 183.74/183.88 ! [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))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Sup__apply,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.88 => 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)))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Sup__fun__def,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.88 => 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)))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Inf__apply,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.88 => 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)))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Inf__fun__def,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.74/183.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.74/183.88 => 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)))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_max__extp_Ointros,axiom,
% 183.74/183.88 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 183.74/183.88 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 183.74/183.88 => ? [B_xa] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 183.74/183.88 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 183.74/183.88 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transp__def,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Predicate_Otransp(T_b,V_r_2)
% 183.74/183.88 <=> 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_transpE,axiom,
% 183.74/183.88 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Predicate_Otransp(T_b,V_r_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivp__reflp__symp__transp,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 183.74/183.88 & c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivpI,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Predicate_Oreflp(T_b,V_R_2)
% 183.74/183.88 => ( c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 => ( c_Predicate_Otransp(T_b,V_R_2)
% 183.74/183.88 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sympE,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Predicate_Osymp(T_b,V_r_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivpE,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 183.74/183.88 => ( c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_max__extp_Osimps,axiom,
% 183.74/183.88 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 183.74/183.88 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 183.74/183.88 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 183.74/183.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 183.74/183.88 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.74/183.88 & ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 183.74/183.88 => ? [B_xa] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 183.74/183.88 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_trans__diff__Id,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Oantisym(T_b,V_r_2)
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__Id__on,axiom,
% 183.74/183.88 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__empty,axiom,
% 183.74/183.88 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__converse,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.88 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__Id,axiom,
% 183.74/183.88 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__subset,axiom,
% 183.74/183.88 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( c_Relation_Oantisym(T_b,V_s_2)
% 183.74/183.88 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisymD,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Oantisym(T_b,V_r_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ( 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))
% 183.74/183.88 => V_a_2 = V_b_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__def,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Oantisym(T_b,V_r_2)
% 183.74/183.88 <=> ! [B_x,B_y] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( 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))
% 183.74/183.88 => B_x = B_y ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_antisym__reflcl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_fun__lub__def,axiom,
% 183.74/183.88 ! [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)))))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__trans__comp__subset,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__def,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 <=> ! [B_x,B_y] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_symD,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Int__converse,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__rtrancl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Id__on,axiom,
% 183.74/183.88 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__trancl,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Un,axiom,
% 183.74/183.88 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Osym(T_b,V_s_2)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Id,axiom,
% 183.74/183.88 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__converse,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 183.74/183.88 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__conv__converse__eq,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_listrel__sym,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Int,axiom,
% 183.74/183.88 ! [V_s_2,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Osym(T_b,V_s_2)
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__Un__converse,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_sym__inv__image,axiom,
% 183.74/183.88 ! [V_f_2,T_c,V_r_2,T_b] :
% 183.74/183.88 ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivE,axiom,
% 183.74/183.88 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.88 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.88 => ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivI,axiom,
% 183.74/183.88 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.88 => ( c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 => ( c_Relation_Otrans(T_b,V_r_2)
% 183.74/183.88 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equiv__def,axiom,
% 183.74/183.88 ! [V_r_2,V_A_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.74/183.88 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 183.74/183.88 & c_Relation_Osym(T_b,V_r_2)
% 183.74/183.88 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_symp__def,axiom,
% 183.74/183.88 ! [V_r_2,T_b] :
% 183.74/183.88 ( c_Predicate_Osymp(T_b,V_r_2)
% 183.74/183.88 <=> 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivp__refl__symp__transp,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 183.74/183.88 & c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivpI,axiom,
% 183.74/183.88 ! [T_b,V_R_2] :
% 183.74/183.88 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 183.74/183.88 => ( c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 => ( c_Predicate_Otransp(T_b,V_R_2)
% 183.74/183.88 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivp__def,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 183.74/183.88 & ! [B_x,B_y] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 183.74/183.88 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 183.74/183.88 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 183.74/183.88 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivp__symp,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivp__transp,axiom,
% 183.74/183.88 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_equivp__implies__part__equivp,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivpE,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 183.74/183.88 => ( c_Predicate_Osymp(T_b,V_R_2)
% 183.74/183.88 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_part__equivp__typedef,axiom,
% 183.74/183.88 ! [V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 183.74/183.88 => ? [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))))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__iff,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 <=> 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__o__cancel,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_surj__imp__inj__inv,axiom,
% 183.74/183.88 ! [V_f_2,T_b,T_c] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__image__comp,axiom,
% 183.74/183.88 ! [V_X_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_image__inv__f__f,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__imp__surj__inv,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__id,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__f__eq,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 183.74/183.88 => 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 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__f__f,axiom,
% 183.74/183.88 ! [V_x_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__f__f,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.88 => 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 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__f__eq,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.74/183.88 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 183.74/183.88 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_f__inv__into__f,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__into,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__injective,axiom,
% 183.74/183.88 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.74/183.88 => V_x_2 = V_y_2 ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_surj__iff__all,axiom,
% 183.74/183.88 ! [V_f_2,T_b,T_c] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> ! [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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_surj__f__inv__f,axiom,
% 183.74/183.88 ! [V_y_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_image__surj__f__inv__f,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_image__inv__into__cancel,axiom,
% 183.74/183.88 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 183.74/183.88 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 183.74/183.88 => 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 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__def,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__on__inv__into,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__image__cancel,axiom,
% 183.74/183.88 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 183.74/183.88 => 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 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_o__inv__o__cancel,axiom,
% 183.74/183.88 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__comp,axiom,
% 183.74/183.88 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 183.74/183.88 => ( 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))))
% 183.74/183.88 => 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) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_surj__iff,axiom,
% 183.74/183.88 ! [V_f_2,T_b,T_c] :
% 183.74/183.88 ( 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))
% 183.74/183.88 <=> 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__transfer,axiom,
% 183.74/183.88 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => ( ! [B_y] :
% 183.74/183.88 ( 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)))))
% 183.74/183.88 => 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))) )
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_fold__image__UN__disjoint,axiom,
% 183.74/183.88 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 183.74/183.88 ( class_Groups_Ocomm__monoid__mult(T_d)
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 183.74/183.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 183.74/183.88 => ! [B_xa] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 183.74/183.88 => ( B_x != B_xa
% 183.74/183.88 => 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)) ) ) )
% 183.74/183.88 => 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) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nat__of__induct,axiom,
% 183.74/183.88 ! [V_Pa_2,V_y_2] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.88 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_nat__of__cases,axiom,
% 183.74/183.88 ! [V_y_2] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.88 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_of__nat__induct,axiom,
% 183.74/183.88 ! [V_x_2,V_Pa_2] :
% 183.74/183.88 ( ! [B_y] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_of__nat__cases,axiom,
% 183.74/183.88 ! [V_x_2] :
% 183.74/183.88 ~ ! [B_y] :
% 183.74/183.88 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 183.74/183.88 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_beyond__def,axiom,
% 183.74/183.88 ! [V_l,V_k] :
% 183.74/183.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.74/183.88 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 183.74/183.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.74/183.88 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_beyond__zero,axiom,
% 183.74/183.88 ! [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) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__image__Collect__eq,axiom,
% 183.74/183.88 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curry__def,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curryI,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 183.74/183.88 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 183.74/183.88 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__id,axiom,
% 183.74/183.88 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__inv__into,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__into__inv__into__eq,axiom,
% 183.74/183.88 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__imp__bij__inv,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inv__inv__eq,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_o__inv__distrib,axiom,
% 183.74/183.88 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__comp__iff,axiom,
% 183.74/183.88 ! [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] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 183.74/183.88 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 183.74/183.88 <=> 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__trans,axiom,
% 183.74/183.88 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 183.74/183.88 => 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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__comp,axiom,
% 183.74/183.88 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__comp__iff2,axiom,
% 183.74/183.88 ! [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] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 183.74/183.88 <=> 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) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curry__conv,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curryD,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 183.74/183.88 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curryE,axiom,
% 183.74/183.88 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 183.74/183.88 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__image__Compl__eq,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bijI,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 => ( 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))
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__def,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.74/183.88 & 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)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__subset,axiom,
% 183.74/183.88 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.88 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 183.74/183.88 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__is__surj,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__imp__surj,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_inj__on__imp__bij__betw,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__def,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__imp__inj__on,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__is__inj,axiom,
% 183.74/183.88 ! [V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__the__inv__into,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__same__card,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__empty1,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)
% 183.74/183.88 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__empty2,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__finite,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.88 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_BIJ,axiom,
% 183.74/183.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.74/183.88 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 183.74/183.88 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__id__iff,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 183.74/183.88 <=> V_A_2 = V_B_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__id,axiom,
% 183.74/183.88 ! [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))) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__combine,axiom,
% 183.74/183.88 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 183.74/183.88 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => 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)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__betw__Disj__Un,axiom,
% 183.74/183.88 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 183.74/183.88 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 183.74/183.88 => 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)) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_finite__vimage__iff,axiom,
% 183.74/183.88 ! [V_F_2,V_h_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 183.74/183.88 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_split__curry,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_curry__split,axiom,
% 183.74/183.88 ! [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 ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__image__INT,axiom,
% 183.74/183.88 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_vimage__subset__eq,axiom,
% 183.74/183.88 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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))
% 183.74/183.88 <=> 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bij__vimage__eq__inv__image,axiom,
% 183.74/183.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => 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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 183.74/183.88 ! [V_M_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 183.74/183.88 => ? [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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Cantor__Bernstein,axiom,
% 183.74/183.88 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.74/183.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 183.74/183.88 => ( 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))
% 183.74/183.88 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_ex__bij__betw__nat__finite,axiom,
% 183.74/183.88 ! [V_M_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 183.74/183.88 => ? [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) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_ex__bij__betw__finite__nat,axiom,
% 183.74/183.88 ! [V_M_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 183.74/183.88 => ? [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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_refl__on__UNION,axiom,
% 183.74/183.88 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.74/183.88 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 183.74/183.88 => 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)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bex__reg__eqv,axiom,
% 183.74/183.88 ! [V_Pa_2,V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 => ( ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_in__respects,axiom,
% 183.74/183.88 ! [V_R_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Respects__def,axiom,
% 183.74/183.88 ! [V_x_2,V_R_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 183.74/183.88 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_bex__reg__right,axiom,
% 183.74/183.88 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(V_Q_2,B_x))
% 183.74/183.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.74/183.88 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 183.74/183.88 => ? [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 183.74/183.88 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_babs__reg__eqv,axiom,
% 183.74/183.88 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 183.74/183.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 183.74/183.88 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_Babs__def,axiom,
% 183.74/183.88 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 183.74/183.88 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_wf__weak__decr__stable,axiom,
% 183.74/183.88 ! [V_r_2,V_f_2,T_b] :
% 183.74/183.88 ( ! [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)))
% 183.74/183.88 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 183.74/183.88 => ? [B_i] :
% 183.74/183.88 ! [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) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_INT__greatest,axiom,
% 183.74/183.88 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 183.74/183.88 ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.88 => 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))) )
% 183.74/183.88 => 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))) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_INT__anti__mono,axiom,
% 183.74/183.88 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.74/183.88 => ( ! [B_x] :
% 183.74/183.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.74/183.88 => 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))) )
% 183.74/183.88 => 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))) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_converse__rtranclE2,axiom,
% 183.74/183.88 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( 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)
% 183.74/183.88 => ~ ! [B_a,B_b] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ~ 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))) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_rtrancl__induct2,axiom,
% 183.74/183.88 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 183.74/183.88 => ( ! [B_a,B_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ! [B_aa,B_ba] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_converse__rtrancl__induct2,axiom,
% 183.74/183.88 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 183.74/183.88 ( 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)))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 183.74/183.88 => ( ! [B_a,B_b,B_aa,B_ba] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ( 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)))
% 183.74/183.88 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 183.74/183.88 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_congruent2I_H,axiom,
% 183.74/183.88 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 183.74/183.88 ( ! [B_y1,B_z1] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => ! [B_y2,B_z2] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 183.74/183.88 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_congruentI,axiom,
% 183.74/183.88 ! [T_c,V_f_2,V_r_2,T_b] :
% 183.74/183.88 ( ! [B_y,B_z] :
% 183.74/183.88 ( 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))
% 183.74/183.88 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 183.74/183.88 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 183.74/183.88
% 183.74/183.88 fof(fact__03,axiom,
% 183.74/183.88 ! [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)) ).
% 183.74/183.88
% 183.74/183.88 fof(fact_all__interval__nat__def,axiom,
% 183.74/183.88 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.88 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 183.74/183.88 <=> ! [B_x] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact__04,axiom,
% 183.74/183.89 ! [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) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_list__all__iff__all__interval__nat,axiom,
% 183.74/183.89 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.89 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 183.74/183.89 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 183.74/183.89 ! [V_j_2,V_i_2,V_Pa_2] :
% 183.74/183.89 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 183.74/183.89 <=> ~ 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) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact__05,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_folding__image_Ocong,axiom,
% 183.74/183.89 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 183.74/183.89 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 183.74/183.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.74/183.89 => ( ! [B_x] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.74/183.89 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 183.74/183.89 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact__06,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(fact__07,axiom,
% 183.74/183.89 ! [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) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_New__DSequence_Opos__map__def,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_power__dvd__imp__le,axiom,
% 183.74/183.89 ! [V_n,V_m,V_i] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oorder__refl,axiom,
% 183.74/183.89 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__0__right,axiom,
% 183.74/183.89 ! [V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__1__left,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__setprod,axiom,
% 183.74/183.89 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_c)
% 183.74/183.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_unity__coeff__ex,axiom,
% 183.74/183.89 ! [V_l_2,V_Pa_2,T_b] :
% 183.74/183.89 ( ( class_Rings_Odvd(T_b)
% 183.74/183.89 & class_Rings_Osemiring__0(T_b) )
% 183.74/183.89 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 183.74/183.89 <=> ? [B_x] :
% 183.74/183.89 ( 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))))
% 183.74/183.89 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 183.74/183.89 ! [V_na_2,V_m_2,V_k_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__cancel__right,axiom,
% 183.74/183.89 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 183.74/183.89 ( class_Rings_Oidom(T_b)
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__cancel__left,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 183.74/183.89 ( class_Rings_Oidom(T_b)
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__right,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( 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))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__left,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( 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))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvdI,axiom,
% 183.74/183.89 ! [V_k,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Odvd(T_a)
% 183.74/183.89 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_mult__dvd__mono,axiom,
% 183.74/183.89 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult,axiom,
% 183.74/183.89 ! [V_b,V_c,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult2,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__triv__right,axiom,
% 183.74/183.89 ! [V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => 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))) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__triv__left,axiom,
% 183.74/183.89 ! [V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => 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))) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_div__mult__div__if__dvd,axiom,
% 183.74/183.89 ! [V_w,V_z,V_x,V_y,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 183.74/183.89 => 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)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__div__mult,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => 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) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__div__mult__self,axiom,
% 183.74/183.89 ! [V_b,V_a,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => 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 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_div__mult__swap,axiom,
% 183.74/183.89 ! [V_a,V_b,V_c,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 183.74/183.89 => 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) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__div__cancel,axiom,
% 183.74/183.89 ! [V_b,V_a,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => 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 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_inf__period_I4_J,axiom,
% 183.74/183.89 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 183.74/183.89 ( ( class_Rings_Ocomm__ring(T_b)
% 183.74/183.89 & class_Rings_Odvd(T_b) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 183.74/183.89 => ! [B_x,B_k] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_inf__period_I3_J,axiom,
% 183.74/183.89 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 183.74/183.89 ( ( class_Rings_Ocomm__ring(T_b)
% 183.74/183.89 & class_Rings_Odvd(T_b) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 183.74/183.89 => ! [B_x,B_k] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 183.74/183.89 ! [V_c_2,V_b_2,V_a_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( V_a_2 = V_b_2
% 183.74/183.89 & V_b_2 = V_c_2 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 183.74/183.89 ! [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))) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2] :
% 183.74/183.89 ( V_a_2 = V_b_2
% 183.74/183.89 => 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))) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2] :
% 183.74/183.89 ( 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)
% 183.74/183.89 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2] :
% 183.74/183.89 ( 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))
% 183.74/183.89 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 183.74/183.89 ! [V_a_2,V_b_2] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 183.74/183.89 => 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)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 183.74/183.89 ! [V_k_2,V_l_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 183.74/183.89 => 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)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 183.74/183.89 ! [V_a_2,V_b_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 183.74/183.89 => 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)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 183.74/183.89 ! [V_k_2,V_l_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 183.74/183.89 => 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)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 183.74/183.89 ! [V_l_2,V_k_2] :
% 183.74/183.89 ( 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))
% 183.74/183.89 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2] :
% 183.74/183.89 ( 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))
% 183.74/183.89 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 183.74/183.89 ! [V_l_2,V_k_2] :
% 183.74/183.89 ( 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)
% 183.74/183.89 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2] :
% 183.74/183.89 ( 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)
% 183.74/183.89 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__1__iff__1,axiom,
% 183.74/183.89 ! [V_m_2] :
% 183.74/183.89 ( 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))))
% 183.74/183.89 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__minus__iff,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.89 ( class_Rings_Ocomm__ring__1(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_minus__dvd__iff,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.89 ( class_Rings_Ocomm__ring__1(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__diff__nat,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__diff,axiom,
% 183.74/183.89 ! [V_z,V_y,V_x,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__ring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_div__add,axiom,
% 183.74/183.89 ! [V_y,V_x,V_z,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 183.74/183.89 => 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)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__div__neg,axiom,
% 183.74/183.89 ! [V_x,V_y,T_a] :
% 183.74/183.89 ( class_Divides_Oring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.74/183.89 => 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)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__neg__div,axiom,
% 183.74/183.89 ! [V_x,V_y,T_a] :
% 183.74/183.89 ( class_Divides_Oring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.74/183.89 => 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)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mod__iff,axiom,
% 183.74/183.89 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_mod__mod__cancel,axiom,
% 183.74/183.89 ! [V_a,V_b,V_c,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 183.74/183.89 => 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) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mod,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mod__imp__dvd,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_div__dvd__div,axiom,
% 183.74/183.89 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__0__left,axiom,
% 183.74/183.89 ! [V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.74/183.89 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_one__dvd,axiom,
% 183.74/183.89 ! [V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__refl,axiom,
% 183.74/183.89 ! [V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oeq__iff,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2] :
% 183.74/183.89 ( V_x_2 = V_y_2
% 183.74/183.89 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Ole__less,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.74/183.89 | V_x_2 = V_y_2 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__le,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.74/183.89 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 & V_x_2 != V_y_2 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oneq__le__trans,axiom,
% 183.74/183.89 ! [V_b,V_a] :
% 183.74/183.89 ( V_a != V_b
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oeq__refl,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( V_x = V_y
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oantisym__conv,axiom,
% 183.74/183.89 ! [V_x_2,V_y_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 <=> V_x_2 = V_y_2 ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 | V_x = V_y ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Ole__neq__trans,axiom,
% 183.74/183.89 ! [V_b,V_a] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 => ( V_a != V_b
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a] :
% 183.74/183.89 ( V_a = V_b
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 => ( V_b = V_c
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__trans,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__antisym,axiom,
% 183.74/183.89 ! [V_n,V_m] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 183.74/183.89 => V_m = V_n ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oantisym,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.74/183.89 => V_x = V_y ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oorder__trans,axiom,
% 183.74/183.89 ! [V_z,V_y,V_x] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a] :
% 183.74/183.89 ( V_a = V_b
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Ole__less__trans,axiom,
% 183.74/183.89 ! [V_z,V_y,V_x] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__imp__neq,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => V_x != V_y ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__not__sym,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__imp__le,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__imp__not__less,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => V_x != V_y ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => V_y != V_x ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 183.74/183.89 => ( V_b = V_c
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__le__trans,axiom,
% 183.74/183.89 ! [V_z,V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__asym_H,axiom,
% 183.74/183.89 ! [V_b,V_a] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 183.74/183.89 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__trans,axiom,
% 183.74/183.89 ! [V_z,V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Oless__asym,axiom,
% 183.74/183.89 ! [V_y,V_x] :
% 183.74/183.89 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.74/183.89 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__if__abs__eq,axiom,
% 183.74/183.89 ! [V_k,V_l,T_a] :
% 183.74/183.89 ( class_Rings_Olinordered__idom(T_a)
% 183.74/183.89 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_abs__dvd__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_m_2,T_b] :
% 183.74/183.89 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__abs__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_m_2,T_b] :
% 183.74/183.89 ( class_Rings_Olinordered__idom(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__power__same,axiom,
% 183.74/183.89 ! [V_n,V_y,V_x,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_nat__dvd__1__iff__1,axiom,
% 183.74/183.89 ! [V_m_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 183.74/183.89 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__add,axiom,
% 183.74/183.89 ! [V_c,V_b,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__reduce,axiom,
% 183.74/183.89 ! [V_na_2,V_k_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 183.74/183.89 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.89 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 183.74/183.89 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 183.74/183.89 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 183.74/183.89 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 183.74/183.89 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__imp__mod__0,axiom,
% 183.74/183.89 ! [V_b,V_a,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.74/183.89 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__eq__mod__eq__0,axiom,
% 183.74/183.89 ! [V_b_2,V_a_2,T_b] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 183.74/183.89 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_div__power,axiom,
% 183.74/183.89 ! [V_n,V_x,V_y,T_a] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.74/183.89 => 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)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_nat__dvd__not__less,axiom,
% 183.74/183.89 ! [V_n,V_m] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.74/183.89 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatMost__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_i_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeast__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_i_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OlessThan__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_i_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OgreaterThan__iff,axiom,
% 183.74/183.89 ! [V_k_2,V_i_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__diffD,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__diffD1,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 183.74/183.89 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 183.74/183.89 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 183.74/183.89 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_le__imp__power__dvd,axiom,
% 183.74/183.89 ! [V_a,V_n,V_m,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__power__le,axiom,
% 183.74/183.89 ! [V_m,V_n,V_y,V_x,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_power__le__dvd,axiom,
% 183.74/183.89 ! [V_m,V_b,V_n,V_a,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( 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))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.74/183.89 => 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)) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__div__div__eq__mult,axiom,
% 183.74/183.89 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.89 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 183.74/183.89 => ( 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)
% 183.74/183.89 <=> 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) ) ) ) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__div__eq__mult,axiom,
% 183.74/183.89 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 183.74/183.89 ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 183.74/183.89 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 183.74/183.89 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2,T_b] :
% 183.74/183.89 ( ( class_Divides_Osemiring__div(T_b)
% 183.74/183.89 & class_Int_Onumber(T_b) )
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> 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) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_setprod__dvd__setprod__subset,axiom,
% 183.74/183.89 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.74/183.89 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.74/183.89 & class_Rings_Odvd(T_c) )
% 183.74/183.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.74/183.89 => 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))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__cancel,axiom,
% 183.74/183.89 ! [V_n,V_m,V_k] :
% 183.74/183.89 ( 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)))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_nat__mult__dvd__cancel1,axiom,
% 183.74/183.89 ! [V_na_2,V_m_2,V_k_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.74/183.89 => ( 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)))
% 183.74/183.89 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__imp__le,axiom,
% 183.74/183.89 ! [V_n,V_k] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.74/183.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__power,axiom,
% 183.74/183.89 ! [V_x,V_n,T_a] :
% 183.74/183.89 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.74/183.89 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 183.74/183.89 => 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))) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__cancel1,axiom,
% 183.74/183.89 ! [V_na_2,V_m_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.74/183.89 => ( 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))
% 183.74/183.89 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd__mult__cancel2,axiom,
% 183.74/183.89 ! [V_na_2,V_m_2] :
% 183.74/183.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.74/183.89 => ( 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))
% 183.74/183.89 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.74/183.89
% 183.74/183.89 fof(fact_dvd_Ostrict__monoD,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 183.74/183.89 ( class_Orderings_Oorder(T_b)
% 183.74/183.89 => ( 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)
% 183.74/183.89 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.74/183.89 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.74/183.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 183.74/183.89
% 183.74/183.89 %----Arity declarations (220)
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 183.74/183.89 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Obounded__lattice(T_1)
% 183.74/183.89 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 183.74/183.89 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Obounded__lattice(T_1)
% 183.74/183.89 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Obounded__lattice(T_1)
% 183.74/183.89 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Olattice(T_1)
% 183.74/183.89 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Olattice(T_1)
% 183.74/183.89 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Odistrib__lattice(T_1)
% 183.74/183.89 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Oboolean__algebra(T_1)
% 183.74/183.89 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Orderings_Opreorder,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Orderings_Opreorder(T_1)
% 183.74/183.89 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Finite__Set_Ofinite(T_2)
% 183.74/183.89 & class_Finite__Set_Ofinite(T_1) )
% 183.74/183.89 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Lattices_Olattice,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Lattices_Olattice(T_1)
% 183.74/183.89 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Orderings_Oorder,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Orderings_Oorder(T_1)
% 183.74/183.89 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Orderings_Otop,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Orderings_Otop(T_1)
% 183.74/183.89 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Orderings_Oord,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Orderings_Oord(T_1)
% 183.74/183.89 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Orderings_Obot,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Orderings_Obot(T_1)
% 183.74/183.89 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Groups_Ouminus,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Groups_Ouminus(T_1)
% 183.74/183.89 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Groups_Ominus,axiom,
% 183.74/183.89 ! [T_2,T_1] :
% 183.74/183.89 ( class_Groups_Ominus(T_1)
% 183.74/183.89 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_fun__Enum_Oenum,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Enum_Oenum(T_2)
% 183.74/183.89 & class_Enum_Oenum(T_1) )
% 183.74/183.89 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_Com_Ocom) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 183.74/183.89 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 183.74/183.89 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 183.74/183.89 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 183.74/183.89 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 183.74/183.89 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 183.74/183.89 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 183.74/183.89 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 183.74/183.89 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 183.74/183.89 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 183.74/183.89 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 183.74/183.89 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 183.74/183.89 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 183.74/183.89 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 183.74/183.89 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 183.74/183.89 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 183.74/183.89 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 183.74/183.89 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 183.74/183.89 class_Orderings_Opreorder(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 183.74/183.89 class_Orderings_Olinorder(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 183.74/183.89 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 183.74/183.89 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 183.74/183.89 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 183.74/183.89 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 183.74/183.89 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 183.74/183.89 class_Lattices_Olattice(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 183.74/183.89 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 183.74/183.89 class_Divides_Oring__div(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 183.74/183.89 class_Rings_Omult__zero(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 183.74/183.89 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 183.74/183.89 class_Orderings_Oorder(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 183.74/183.89 class_Int_Oring__char__0(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 183.74/183.89 class_Int_Onumber__ring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 183.74/183.89 class_Rings_Osemiring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 183.74/183.89 class_Orderings_Oord(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 183.74/183.89 class_Groups_Ouminus(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 183.74/183.89 class_Groups_Osgn__if(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 183.74/183.89 class_Groups_Oabs__if(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 183.74/183.89 class_Rings_Oring__1(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 183.74/183.89 class_Groups_Ominus(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Power_Opower,axiom,
% 183.74/183.89 class_Power_Opower(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 183.74/183.89 class_Groups_Ozero(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oring,axiom,
% 183.74/183.89 class_Rings_Oring(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 183.74/183.89 class_Rings_Oidom(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Int_Onumber,axiom,
% 183.74/183.89 class_Int_Onumber(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Groups_Oone,axiom,
% 183.74/183.89 class_Groups_Oone(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 183.74/183.89 class_Rings_Odvd(tc_Int_Oint) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 183.74/183.89 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 183.74/183.89 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 183.74/183.89 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 183.74/183.89 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 183.74/183.89 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 183.74/183.89 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 183.74/183.89 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 183.74/183.89 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 183.74/183.89 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 183.74/183.89 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 183.74/183.89 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 183.74/183.89 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 183.74/183.89 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 183.74/183.89 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 183.74/183.89 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 183.74/183.89 class_Lattices_Olattice(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 183.74/183.89 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 183.74/183.89 class_Orderings_Oorder(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 183.74/183.89 class_Rings_Osemiring(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 183.74/183.89 class_Orderings_Oord(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 183.74/183.89 class_Orderings_Obot(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 183.74/183.89 class_Groups_Ominus(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Power_Opower,axiom,
% 183.74/183.89 class_Power_Opower(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 183.74/183.89 class_Groups_Ozero(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 183.74/183.89 class_Int_Onumber(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 183.74/183.89 class_Groups_Oone(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 183.74/183.89 class_Rings_Odvd(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_Nat_Onat) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 183.74/183.89 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 183.74/183.89 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 183.74/183.89 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 183.74/183.89 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 183.74/183.89 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 183.74/183.89 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 183.74/183.89 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 183.74/183.89 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 183.74/183.89 class_Lattices_Olattice(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 183.74/183.89 class_Orderings_Oorder(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 183.74/183.89 class_Orderings_Otop(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 183.74/183.89 class_Orderings_Oord(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 183.74/183.89 class_Orderings_Obot(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 183.74/183.89 class_Groups_Ouminus(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 183.74/183.89 class_Groups_Ominus(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 183.74/183.89 class_Enum_Oenum(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_HOL_Obool) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 183.74/183.89 ! [T_1] :
% 183.74/183.89 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 183.74/183.89 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_List__Olist__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Finite__Set_Ofinite(T_2)
% 183.74/183.89 & class_Finite__Set_Ofinite(T_1) )
% 183.74/183.89 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_sum__Enum_Oenum,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Enum_Oenum(T_2)
% 183.74/183.89 & class_Enum_Oenum(T_1) )
% 183.74/183.89 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_sum__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 183.74/183.89 ! [T_1] :
% 183.74/183.89 ( class_Finite__Set_Ofinite(T_1)
% 183.74/183.89 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 183.74/183.89 ! [T_1] :
% 183.74/183.89 ( class_Enum_Oenum(T_1)
% 183.74/183.89 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 183.74/183.89 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 183.74/183.89 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Finite__Set_Ofinite(T_2)
% 183.74/183.89 & class_Finite__Set_Ofinite(T_1) )
% 183.74/183.89 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_prod__Enum_Oenum,axiom,
% 183.74/183.89 ! [T_1,T_2] :
% 183.74/183.89 ( ( class_Enum_Oenum(T_2)
% 183.74/183.89 & class_Enum_Oenum(T_1) )
% 183.74/183.89 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_prod__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 183.74/183.89 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 183.74/183.89 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 183.74/183.89 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 183.74/183.89 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 183.74/183.89 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 183.74/183.89 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 183.74/183.89 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 183.74/183.89 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 183.74/183.89 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 183.74/183.89 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 183.74/183.89 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 183.74/183.89 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 183.74/183.89 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 183.74/183.89 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 183.74/183.89 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 183.74/183.89 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 183.74/183.89 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 183.74/183.89 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 183.74/183.89 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 183.74/183.89 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 183.74/183.89 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 183.74/183.89 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 183.74/183.89 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 183.74/183.89 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 183.74/183.89 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 183.74/183.89 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 183.74/183.89 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 183.74/183.89 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 183.74/183.89 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 183.74/183.89 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 183.74/183.89 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 183.74/183.89
% 183.74/183.89 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 183.74/183.89 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 183.74/183.89
% 183.74/183.89 %----Helper facts (20)
% 183.74/183.89 fof(help_c__COMBI__1,axiom,
% 183.74/183.89 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__COMBK__1,axiom,
% 183.74/183.89 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__COMBB__1,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__COMBC__1,axiom,
% 183.74/183.89 ! [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) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__COMBS__1,axiom,
% 183.74/183.89 ! [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)) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fequal__1,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 183.74/183.89 | V_x_2 = V_y_2 ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fequal__2,axiom,
% 183.74/183.89 ! [V_y_2,V_x_2] :
% 183.74/183.89 ( V_x_2 != V_y_2
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fFalse__1,axiom,
% 183.74/183.89 ~ hBOOL(c_fFalse) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fTrue__1,axiom,
% 183.74/183.89 hBOOL(c_fTrue) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fNot__1,axiom,
% 183.74/183.89 ! [V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 183.74/183.89 | ~ hBOOL(V_Pa_2) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fNot__2,axiom,
% 183.74/183.89 ! [V_Pa_2] :
% 183.74/183.89 ( ~ ~ hBOOL(V_Pa_2)
% 183.74/183.89 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fconj__1,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(V_Pa_2)
% 183.74/183.89 | ~ hBOOL(V_Q_2)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fconj__2,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 183.74/183.89 | hBOOL(V_Pa_2) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fconj__3,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 183.74/183.89 | hBOOL(V_Q_2) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fdisj__1,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(V_Pa_2)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fdisj__2,axiom,
% 183.74/183.89 ! [V_Pa_2,V_Q_2] :
% 183.74/183.89 ( ~ hBOOL(V_Q_2)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fdisj__3,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 183.74/183.89 | hBOOL(V_Pa_2)
% 183.74/183.89 | hBOOL(V_Q_2) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fimplies__1,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( hBOOL(V_Pa_2)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fimplies__2,axiom,
% 183.74/183.89 ! [V_Pa_2,V_Q_2] :
% 183.74/183.89 ( ~ hBOOL(V_Q_2)
% 183.74/183.89 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 183.74/183.89
% 183.74/183.89 fof(help_c__fimplies__3,axiom,
% 183.74/183.89 ! [V_Q_2,V_Pa_2] :
% 183.74/183.89 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 183.74/183.89 | ~ hBOOL(V_Pa_2)
% 183.74/183.89 | hBOOL(V_Q_2) ) ).
% 183.74/183.89
% 183.74/183.89 %----Conjectures (4)
% 183.74/183.89 fof(conj_0,hypothesis,
% 183.74/183.89 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 183.74/183.89
% 183.74/183.89 fof(conj_1,hypothesis,
% 183.74/183.89 v_G = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) ).
% 183.74/183.89
% 183.74/183.89 fof(conj_2,hypothesis,
% 183.74/183.89 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)) ).
% 183.74/183.89
% 183.74/183.89 fof(conj_3,conjecture,
% 183.74/183.89 v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ).
% 183.74/183.89
% 183.74/183.89 %------------------------------------------------------------------------------
% 183.74/183.89 %-------------------------------------------
% 183.74/183.89 % Proof found
% 183.74/183.89 % SZS status Theorem for theBenchmark
% 183.74/183.89 % SZS output start Proof
% 183.74/183.89 %ClaNum:10397(EqnAxiom:3039)
% 183.74/183.89 %VarNum:70787(SingletonVarNum:20409)
% 183.74/183.89 %MaxLitNum:8
% 183.74/183.89 %MaxfuncDepth:13
% 183.74/183.89 %SharedTerms:999
% 183.74/183.89 %goalClause: 4634
% 183.74/183.89 %singleGoalClaCount:1
% 183.74/183.89 [3043]P1(a177)
% 183.74/183.89 [3044]P2(a895)
% 183.74/183.89 [3045]P2(a898)
% 183.74/183.89 [3046]P65(a895)
% 183.74/183.89 [3047]P65(a899)
% 183.74/183.89 [3048]P106(a895)
% 183.74/183.89 [3049]P106(a899)
% 183.74/183.89 [3050]P106(a1)
% 183.74/183.89 [3051]P106(a89)
% 183.74/183.89 [3052]P107(a899)
% 183.74/183.89 [3053]P107(a1)
% 183.74/183.89 [3054]P107(a89)
% 183.74/183.89 [3055]P108(a895)
% 183.74/183.89 [3056]P108(a899)
% 183.74/183.89 [3057]P108(a1)
% 183.74/183.89 [3058]P108(a89)
% 183.74/183.89 [3059]P109(a895)
% 183.74/183.89 [3060]P109(a899)
% 183.74/183.89 [3061]P109(a1)
% 183.74/183.89 [3062]P109(a89)
% 183.74/183.89 [3063]P66(a895)
% 183.74/183.89 [3064]P66(a899)
% 183.74/183.89 [3065]P66(a1)
% 183.74/183.89 [3066]P66(a89)
% 183.74/183.89 [3067]P78(a1)
% 183.74/183.89 [3068]P67(a1)
% 183.74/183.89 [3069]P68(a899)
% 183.74/183.89 [3070]P68(a1)
% 183.74/183.89 [3071]P68(a89)
% 183.74/183.89 [3072]P110(a1)
% 183.74/183.89 [3073]P70(a899)
% 183.74/183.89 [3074]P70(a1)
% 183.74/183.89 [3075]P70(a89)
% 183.74/183.89 [3076]P82(a899)
% 183.74/183.89 [3077]P82(a1)
% 183.74/183.89 [3078]P82(a89)
% 183.74/183.89 [3079]P74(a899)
% 183.74/183.89 [3080]P74(a1)
% 183.74/183.89 [3081]P74(a89)
% 183.74/183.89 [3082]P69(a899)
% 183.74/183.89 [3083]P69(a1)
% 183.74/183.89 [3084]P69(a89)
% 183.74/183.89 [3085]P71(a899)
% 183.74/183.89 [3086]P71(a1)
% 183.74/183.89 [3087]P71(a89)
% 183.74/183.89 [3088]P72(a899)
% 183.74/183.89 [3089]P72(a1)
% 183.74/183.89 [3090]P72(a89)
% 183.74/183.89 [3091]P83(a899)
% 183.74/183.89 [3092]P83(a1)
% 183.74/183.89 [3093]P83(a89)
% 183.74/183.89 [3094]P84(a899)
% 183.74/183.89 [3095]P84(a1)
% 183.74/183.89 [3096]P84(a89)
% 183.74/183.89 [3097]P75(a1)
% 183.74/183.89 [3098]P111(a1)
% 183.74/183.89 [3099]P79(a899)
% 183.74/183.89 [3100]P79(a1)
% 183.74/183.89 [3101]P79(a89)
% 183.74/183.89 [3102]P80(a899)
% 183.74/183.89 [3103]P80(a1)
% 183.74/183.89 [3104]P80(a89)
% 183.74/183.89 [3105]P112(a899)
% 183.74/183.89 [3106]P112(a1)
% 183.74/183.89 [3107]P112(a89)
% 183.74/183.89 [3108]P113(a1)
% 183.74/183.89 [3109]P114(a899)
% 183.74/183.89 [3110]P114(a1)
% 183.74/183.89 [3111]P114(a89)
% 183.74/183.89 [3112]P139(a899)
% 183.74/183.89 [3113]P139(a1)
% 183.74/183.89 [3114]P139(a89)
% 183.74/183.89 [3115]P120(a899)
% 183.74/183.89 [3116]P120(a1)
% 183.74/183.89 [3117]P120(a89)
% 183.74/183.89 [3118]P143(a899)
% 183.74/183.89 [3119]P143(a1)
% 183.74/183.89 [3120]P129(a1)
% 183.74/183.89 [3121]P86(a899)
% 183.74/183.89 [3122]P86(a1)
% 183.74/183.89 [3123]P86(a89)
% 183.74/183.89 [3124]P81(a899)
% 183.74/183.89 [3125]P81(a1)
% 183.74/183.89 [3126]P81(a89)
% 183.74/183.89 [3127]P76(a1)
% 183.74/183.89 [3128]P132(a899)
% 183.74/183.89 [3129]P132(a1)
% 183.74/183.89 [3130]P132(a89)
% 183.74/183.89 [3131]P140(a1)
% 183.74/183.89 [3132]P134(a899)
% 183.74/183.89 [3133]P134(a1)
% 183.74/183.89 [3134]P134(a89)
% 183.74/183.89 [3135]P144(a899)
% 183.74/183.89 [3136]P144(a1)
% 183.74/183.89 [3137]P144(a89)
% 183.74/183.89 [3138]P87(a899)
% 183.74/183.89 [3139]P87(a1)
% 183.74/183.89 [3140]P87(a89)
% 183.74/183.89 [3141]P127(a1)
% 183.74/183.89 [3142]P128(a1)
% 183.74/183.89 [3143]P135(a899)
% 183.74/183.89 [3144]P135(a1)
% 183.74/183.89 [3145]P135(a89)
% 183.74/183.89 [3146]P137(a899)
% 183.74/183.89 [3147]P137(a1)
% 183.74/183.89 [3148]P137(a89)
% 183.74/183.89 [3149]P136(a899)
% 183.74/183.89 [3150]P136(a1)
% 183.74/183.89 [3151]P136(a89)
% 183.74/183.89 [3152]P121(a899)
% 183.74/183.89 [3153]P121(a1)
% 183.74/183.89 [3154]P121(a89)
% 183.74/183.89 [3155]P133(a899)
% 183.74/183.89 [3156]P133(a1)
% 183.74/183.89 [3157]P133(a89)
% 183.74/183.89 [3158]P130(a899)
% 183.74/183.89 [3159]P130(a1)
% 183.74/183.89 [3160]P130(a89)
% 183.74/183.89 [3161]P131(a1)
% 183.74/183.89 [3162]P91(a1)
% 183.74/183.89 [3163]P141(a1)
% 183.74/183.89 [3164]P92(a899)
% 183.74/183.89 [3165]P92(a1)
% 183.74/183.89 [3166]P92(a89)
% 183.74/183.89 [3167]P93(a1)
% 183.74/183.89 [3168]P94(a899)
% 183.74/183.89 [3169]P94(a1)
% 183.74/183.89 [3170]P94(a89)
% 183.74/183.89 [3171]P3(a899)
% 183.74/183.89 [3172]P3(a1)
% 183.74/183.89 [3173]P3(a89)
% 183.74/183.89 [3174]P4(a1)
% 183.74/183.89 [3175]P145(a899)
% 183.74/183.89 [3176]P145(a1)
% 183.74/183.89 [3177]P145(a89)
% 183.74/183.89 [3178]P85(a1)
% 183.74/183.89 [3179]P138(a1)
% 183.74/183.89 [3180]P142(a1)
% 183.74/183.89 [3181]P115(a899)
% 183.74/183.89 [3182]P115(a1)
% 183.74/183.89 [3183]P115(a89)
% 183.74/183.89 [3184]P146(a899)
% 183.74/183.89 [3185]P146(a1)
% 183.74/183.89 [3186]P146(a89)
% 183.74/183.89 [3187]P95(a895)
% 183.74/183.89 [3188]P88(a895)
% 183.74/183.89 [3189]P88(a1)
% 183.74/183.89 [3190]P122(a1)
% 183.74/183.89 [3191]P118(a1)
% 183.74/183.89 [3192]P73(a1)
% 183.74/183.89 [3193]P89(a1)
% 183.74/183.89 [3194]P97(a895)
% 183.74/183.89 [3195]P97(a899)
% 183.74/183.89 [3196]P97(a1)
% 183.74/183.89 [3197]P98(a895)
% 183.74/183.89 [3198]P98(a899)
% 183.74/183.89 [3199]P98(a1)
% 183.74/183.89 [3200]P99(a895)
% 183.74/183.89 [3201]P5(a895)
% 183.74/183.89 [3202]P101(a895)
% 183.74/183.89 [3203]P101(a899)
% 183.74/183.89 [3204]P101(a1)
% 183.74/183.89 [3205]P103(a895)
% 183.74/183.89 [3206]P103(a899)
% 183.74/183.89 [3207]P103(a1)
% 183.74/183.89 [3208]P116(a895)
% 183.74/183.89 [3209]P102(a895)
% 183.74/183.89 [3210]P77(a899)
% 183.74/183.89 [3211]P77(a1)
% 183.74/183.89 [3212]P77(a89)
% 183.74/183.89 [3213]P117(a899)
% 183.74/183.89 [3214]P90(a899)
% 183.74/183.89 [3215]P90(a1)
% 183.74/183.89 [3216]P90(a89)
% 183.74/183.89 [3217]P60(a895)
% 183.74/183.89 [3218]P60(a898)
% 183.74/183.89 [3219]P105(a895)
% 183.74/183.89 [3220]P105(a896)
% 183.74/183.89 [3221]P105(a899)
% 183.74/183.89 [3222]P105(a89)
% 183.74/183.89 [3223]P105(a898)
% 183.74/183.89 [3224]P105(a313)
% 183.74/183.89 [3225]P104(a1)
% 183.74/183.89 [3226]P104(a898)
% 183.74/183.89 [3227]P123(a899)
% 183.74/183.89 [3228]P123(a1)
% 183.74/183.89 [3229]P123(a89)
% 183.74/183.89 [3230]P119(a1)
% 183.74/183.89 [3231]P100(a895)
% 183.74/183.89 [3245]P36(a899,a230)
% 183.74/183.89 [3246]P36(a899,a307)
% 183.74/183.89 [3247]P37(a899,a230)
% 183.74/183.89 [4572]~E(a87,a77)
% 183.74/183.89 [4573]~P1(a229)
% 183.74/183.89 [3040]E(f2(a1),a77)
% 183.74/183.89 [3041]E(f3(a89),a4)
% 183.74/183.89 [3042]E(f90(a89),a5)
% 183.74/183.89 [3232]E(f178(a899),f2(a899))
% 183.74/183.89 [3233]E(f91(a899),f223(a899))
% 183.74/183.89 [3234]E(f228(a899),f92(a899))
% 183.74/183.89 [3235]E(f93(a1),f25(a1))
% 183.74/183.89 [3236]E(f78(a229),f2(a899))
% 183.74/183.89 [3237]E(f78(a177),f2(a899))
% 183.74/183.89 [3238]P6(f72(a1))
% 183.74/183.89 [3239]P6(f2(a1))
% 183.74/183.89 [3293]P36(f905(a899,a899),a26)
% 183.74/183.89 [3636]E(f309(a899,a899,a230,a230),a26)
% 183.74/183.89 [4574]~E(f72(a1),f2(a1))
% 183.74/183.89 [3240]E(f6(f2(a89)),f2(a899))
% 183.74/183.89 [3241]E(f101(f2(a899)),f2(a899))
% 183.74/183.89 [3249]E(f317(f73(a1),a77),a77)
% 183.74/183.89 [3252]E(f317(a102,f2(a899)),f72(a899))
% 183.74/183.89 [3253]E(f317(a95,f72(a1)),f72(a899))
% 183.74/183.89 [3254]E(f317(a5,f72(a899)),f72(a89))
% 183.74/183.89 [3256]E(f317(a5,f2(a899)),f2(a89))
% 183.74/183.89 [3258]E(f317(f94(a1),a77),f2(a1))
% 183.74/183.89 [3259]E(f317(f94(a89),a77),f2(a89))
% 183.74/183.89 [3260]E(f317(a95,f2(a1)),f2(a899))
% 183.74/183.89 [3261]E(f317(f94(a899),a77),f2(a899))
% 183.74/183.89 [3262]E(f317(f179(a895),a229),f2(a899))
% 183.74/183.89 [3263]E(f317(f179(a895),a177),f2(a899))
% 183.74/183.89 [3269]E(f317(f73(a1),f72(a1)),a87)
% 183.74/183.89 [3277]E(f317(f179(a89),f2(a89)),f2(a899))
% 183.74/183.89 [3278]E(f317(f90(a1),f72(a899)),f72(a1))
% 183.74/183.89 [3279]E(f317(f90(a1),f2(a899)),f2(a1))
% 183.74/183.89 [3280]E(f317(f73(a1),f2(a1)),f2(a1))
% 183.74/183.89 [3290]E(f317(a95,f72(a1)),f317(a102,f2(a899)))
% 183.74/183.89 [3291]E(f308(f905(a899,a899),a26),a27)
% 183.74/183.89 [3292]E(f310(f905(a899,a899),a26),a63)
% 183.74/183.89 [3294]P1(f317(f28(a897),a907))
% 183.74/183.89 [3320]E(f317(f272(a899),f2(a899)),f178(f906(a899,a895)))
% 183.74/183.89 [3321]E(f317(f273(a899),f2(a899)),f232(f906(a899,a895)))
% 183.74/183.89 [3329]P39(f178(f906(a1,a895)))
% 183.74/183.89 [3363]E(f317(f317(f3(a89),f2(a89)),f72(a89)),f2(a89))
% 183.74/183.89 [3439]P1(f317(f317(f225(a1),a87),f2(a1)))
% 183.74/183.89 [3459]E(f317(f300(a897,a894,a910),a907),a908)
% 183.74/183.89 [3464]P1(f317(f317(f224(a1),f2(a1)),f72(a1)))
% 183.74/183.89 [3466]P1(f317(f317(f225(a1),f2(a1)),f72(a1)))
% 183.74/183.89 [3667]E(f317(f317(f279(a899,a899,a899),a307),f297(a899,a307)),a230)
% 183.74/183.89 [3704]P40(a1,a899,a95,f317(f224(a1),f2(a1)))
% 183.74/183.89 [3708]E(f317(f317(f34(a899,f906(a899,a895)),f232(f906(a899,a895))),f294(a899)),f178(f906(a899,a895)))
% 183.74/183.89 [3709]E(f317(f317(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f291(a899)),f232(f906(a899,a895)))
% 183.74/183.89 [3710]E(f317(f317(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f272(a899)),f232(f906(a899,a895)))
% 183.74/183.89 [3711]E(f317(f317(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f273(a899)),f232(f906(a899,a895)))
% 183.74/183.89 [3726]P24(a899,a1,f90(a1),f232(f906(a899,a895)))
% 183.74/183.89 [3740]P40(a899,a1,f90(a1),f317(f18(a895,a899),a177))
% 183.74/183.89 [3875]E(f317(f67(a899,a89,a1,a5),a95),f94(a89))
% 183.74/183.89 [4094]P56(a89,a899,a22,a5,f232(f906(a899,a895)))
% 183.74/183.89 [4098]P56(a1,f906(f905(a899,a899),a895),a97,a83,a88)
% 183.74/183.89 [4352]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a46)
% 183.74/183.89 [4583]~E(f317(f94(a1),a87),f317(f94(a1),a77))
% 183.74/183.89 [4584]~P1(f317(a183,f72(a1)))
% 183.74/183.89 [4585]~P1(f317(a183,f2(a1)))
% 183.74/183.89 [4610]~P1(f317(f317(f225(a1),a77),f2(a1)))
% 183.74/183.89 [3312]E(f317(f317(f3(a1),a87),a87),a77)
% 183.74/183.89 [3327]E(f317(f90(a1),f317(a102,f2(a899))),f72(a1))
% 183.74/183.89 [3392]E(f317(f29(a898),f232(f906(a898,a895))),f72(a899))
% 183.74/183.89 [3412]P1(f317(a183,f317(f94(a1),a87)))
% 183.74/183.89 [3413]P1(f317(f317(f319(a897),a909),a907))
% 183.74/183.89 [3415]P1(f317(f317(f224(a1),a87),a77))
% 183.74/183.89 [3417]P1(f317(f317(f225(a1),a87),a77))
% 183.74/183.89 [3474]E(f317(f317(f299(a899),f2(a899)),f178(f906(a899,a895))),f317(f291(a899),f2(a899)))
% 183.74/183.89 [3527]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),a77)))
% 183.74/183.89 [3539]E(f317(f300(a899,a899,a102),f232(f906(a899,a895))),f317(f294(a899),f2(a899)))
% 183.74/183.89 [3574]P8(f905(a899,a899),f232(f906(f905(a899,a899),a895)),a99)
% 183.74/183.89 [3882]E(f317(f67(a899,a1,a89,f90(a1)),a22),a24)
% 183.74/183.89 [3941]P36(a899,f317(f252(f905(a899,a899)),f317(f247(a899,a899,a895),f225(a899))))
% 183.74/183.89 [4601]~P1(f317(a183,f317(f94(a1),a77)))
% 183.74/183.89 [4602]~P1(f317(f317(f224(a1),a77),a87))
% 183.74/183.89 [4603]~P1(f317(f317(f225(a1),a77),a77))
% 183.74/183.89 [4604]~P1(f317(f317(f225(a1),a77),a87))
% 183.74/183.89 [4605]~P1(f317(f317(f225(a1),a87),a87))
% 183.74/183.89 [4614]~P1(f317(f28(a899),f232(f906(a899,a895))))
% 183.74/183.89 [4615]~P1(f317(f28(a1),f232(f906(a1,a895))))
% 183.74/183.89 [4634]~P149(f317(f300(a897,a894,a910),a907),f317(f317(f299(a894),f317(a910,a909)),f178(f906(a894,a895))))
% 183.74/183.89 [4518]E(f317(f247(a1,a1,a895),f317(f317(f10(f906(a1,a895),f906(a1,a895),a1),f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f225(a1),f2(a1))))),f317(f317(f9(a1,a1,f906(a1,a895)),f317(f317(f10(f906(a1,f906(a1,a895)),f906(a1,f906(a1,a895)),a1),f9(a1,a1,a895)),f317(f317(f10(f906(a1,a1),f906(a1,f906(a1,a895)),a1),f317(f10(a1,f906(a1,a895),a1),a314)),a207))),f72(a1)))),a203)
% 183.74/183.89 [3611]E(f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f73(a1),a87))
% 183.74/183.89 [3649]E(f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f317(f3(a1),a77),a87))
% 183.74/183.89 [3809]E(f317(f317(f55(f905(a899,a899)),f232(f906(f905(a899,a899),a895))),a99),a88)
% 183.74/183.89 [3838]E(f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a1))
% 183.74/183.89 [3839]E(f317(f94(a89),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a89))
% 183.74/183.89 [3840]E(f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a899))
% 183.74/183.89 [3843]E(f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(a102,f2(a899)))
% 183.74/183.89 [4220]E(f317(f317(f91(f906(f905(f905(a899,a899),f905(a899,a899)),a895)),a26),f297(f905(a899,a899),f178(f906(f905(f905(a899,a899),f905(a899,a899)),a895)))),a65)
% 183.74/183.89 [4286]E(f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),f72(a899)),f2(a899))),f178(f906(f905(a899,a899),a895))))),f72(a1))
% 183.74/183.89 [4287]E(f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),f2(a899)),f2(a899))),f178(f906(f905(a899,a899),a895))))),f2(a1))
% 183.74/183.89 [4300]E(f317(f252(f905(a899,a899)),f317(f247(a899,a899,a895),f317(f317(f10(a899,f906(a899,a895),a899),f317(f9(a899,a899,a895),a314)),a102))),a307)
% 183.74/183.89 [4272]E(f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(a102,f317(a102,f2(a899))))
% 183.74/183.89 [4275]E(f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f317(f74(a899),f72(a899)),f72(a899)))
% 183.74/183.89 [4276]E(f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f29(a895),f232(f906(a895,a895))))
% 183.74/183.89 [4339]P6(f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 183.74/183.89 [4408]P26(f906(f905(a899,a899),a895),f317(f317(f242(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895),f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),a27),a64))
% 183.74/183.89 [4409]P26(f906(f905(a899,a899),a895),f317(f317(f242(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895),f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),a63),a66))
% 183.74/183.89 [4449]E(f317(f317(f91(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),f310(f905(a899,a899),a65)),f317(f317(f299(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),f178(f906(f905(a899,a899),a895)))),f178(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)))),a66)
% 183.74/183.89 [4450]E(f317(f317(f91(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),f308(f905(a899,a899),a65)),f317(f317(f299(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),f178(f906(f905(a899,a899),a895)))),f178(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)))),a64)
% 183.74/183.89 [4341]E(f317(a95,f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,f2(a899))))
% 183.74/183.89 [4386]E(f317(f90(a1),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 183.74/183.89 [4419]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 183.74/183.89 [4420]E(f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)),f317(a102,f317(a102,f317(a102,f2(a899)))))
% 183.74/183.89 [4464]P6(f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))
% 183.74/183.89 [4490]E(f317(f90(a1),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))
% 183.74/183.89 [4503]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))))
% 183.74/183.89 [3248]P7(x32481,a314)
% 183.74/183.89 [3637]P24(a899,a899,a102,x36371)
% 183.74/183.89 [3242]P105(f902(x32421))
% 183.74/183.89 [3243]P105(f900(x32431))
% 183.74/183.89 [3244]P105(f901(x32441))
% 183.74/183.89 [3264]P36(a1,f96(x32641))
% 183.74/183.89 [3265]P36(a1,f98(x32651))
% 183.74/183.89 [3316]P36(f906(x33161,a895),f304(x33161))
% 183.74/183.89 [3317]P37(f906(x33171,a895),f304(x33171))
% 183.74/183.89 [3341]E(f233(x33411,x33411,a314),a314)
% 183.74/183.89 [3356]E(f40(a1,x33561,x33561),f2(a1))
% 183.74/183.89 [3409]P14(x34091,f906(x34091,a895),f299(x34091))
% 183.74/183.89 [4576]~E(f317(a102,x45761),x45761)
% 183.74/183.89 [4582]~E(f317(a102,x45821),f2(a899))
% 183.74/183.89 [3250]E(f317(f94(a1),x32501),x32501)
% 183.74/183.89 [3251]E(f317(f179(a899),x32511),x32511)
% 183.74/183.89 [3266]E(f317(a83,f318(x32661)),x32661)
% 183.74/183.89 [3267]E(f317(a5,f563(x32671)),x32671)
% 183.74/183.89 [3268]E(f231(x32681,f2(a89)),f2(a89))
% 183.74/183.89 [3281]E(f104(x32811,f103(x32811)),f103(x32811))
% 183.74/183.89 [3282]E(f142(x32821,f103(x32821)),f103(x32821))
% 183.74/183.89 [3287]E(f317(f157(x32871),f103(x32871)),f103(x32871))
% 183.74/183.89 [3288]E(f317(f161(x32881),f103(x32881)),f103(x32881))
% 183.74/183.89 [3289]E(f317(f158(x32891),f103(x32891)),f103(x32891))
% 183.74/183.89 [3295]E(f317(f94(a1),x32951),f317(f93(a1),x32951))
% 183.74/183.89 [3296]E(f317(a83,f317(a97,x32961)),x32961)
% 183.74/183.89 [3298]E(f317(a5,f317(a22,x32981)),x32981)
% 183.74/183.89 [3299]E(f317(a22,f317(a5,x32991)),x32991)
% 183.74/183.89 [3301]P6(f317(f90(a1),x33011))
% 183.74/183.89 [3310]E(f317(f179(f900(x33101)),f103(x33101)),f2(a899))
% 183.74/183.89 [3311]E(f317(f179(f901(x33111)),f109(x33111)),f2(a899))
% 183.74/183.89 [3332]E(f317(f317(f3(a899),x33321),f2(a899)),x33321)
% 183.74/183.89 [3333]E(f317(f317(f75(a899),x33331),f72(a899)),x33331)
% 183.74/183.89 [3334]E(f317(f317(f75(a1),x33341),f72(a1)),x33341)
% 183.74/183.89 [3335]E(f317(f317(f74(a899),x33351),f2(a899)),x33351)
% 183.74/183.89 [3336]E(f317(f317(f74(a1),x33361),f2(a1)),x33361)
% 183.74/183.89 [3337]E(f317(f317(f223(a899),x33371),f2(a899)),x33371)
% 183.74/183.89 [3338]E(f317(f317(f75(a899),x33381),f2(a899)),f2(a899))
% 183.74/183.89 [3339]E(f317(f317(f228(a899),x33391),f2(a899)),f2(a899))
% 183.74/183.89 [3340]E(f317(f317(f30(a1),x33401),f2(a1)),f2(a1))
% 183.74/183.89 [3347]E(f317(f162(x33471),f103(x33471)),f178(f906(x33471,a895)))
% 183.74/183.89 [3351]P1(f317(f127(x33511),f103(x33511)))
% 183.74/183.89 [3357]E(f317(f144(x33571,x33571),f7(x33571)),f25(f900(x33571)))
% 183.74/183.89 [3358]E(f317(f144(x33581,x33581),f25(x33581)),f25(f900(x33581)))
% 183.74/183.89 [3359]E(f40(a1,x33591,f2(a1)),x33591)
% 183.74/183.89 [3360]E(f317(f224(a899),f317(a102,x33601)),f317(f225(a899),x33601))
% 183.74/183.89 [3361]E(f317(f272(a899),f317(a102,x33611)),f317(f291(a899),x33611))
% 183.74/183.89 [3362]E(f317(f273(a899),f317(a102,x33621)),f317(f294(a899),x33621))
% 183.74/183.89 [3364]E(f40(a1,f2(a1),x33641),f2(a1))
% 183.74/183.89 [3377]E(f317(f317(f74(a899),x33771),f72(a899)),f317(a102,x33771))
% 183.74/183.89 [3386]E(f317(f292(a899,x33861),f2(a899)),f178(f906(a899,a895)))
% 183.74/183.89 [3398]E(f293(a899,f2(a899),x33981),f317(f291(a899),x33981))
% 183.74/183.89 [3442]E(f317(f317(f3(a899),f317(a102,x34421)),f72(a899)),x34421)
% 183.74/183.89 [3454]E(f42(f2(a1),x34541),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 183.74/183.89 [3502]P1(f317(f317(f225(a899),x35021),f317(a102,x35021)))
% 183.74/183.89 [3514]P1(f317(f317(f225(a899),f2(a899)),f317(a102,x35141)))
% 183.74/183.89 [3739]E(f85(x37391,x37391,f232(f906(x37391,a895)),f25(x37391)),f25(x37391))
% 183.74/183.89 [3796]E(f317(f317(f3(a89),f317(a5,f317(a102,f317(a22,x37961)))),f72(a89)),x37961)
% 183.74/183.89 [3866]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x38661))),f2(a1)))
% 183.74/183.89 [4009]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40091)))),f2(a1)))
% 183.74/183.89 [4590]~E(f232(f906(x45901,a895)),f178(f906(x45901,a895)))
% 183.74/183.89 [4613]~P1(f317(f317(f225(a899),x46131),f2(a899)))
% 183.74/183.89 [4624]~P1(f317(f317(f225(a1),f317(f90(a1),x46241)),f2(a1)))
% 183.74/183.89 [3300]E(f110(x33001,f109(f901(x33001))),f109(x33001))
% 183.74/183.89 [3315]E(f169(x33151,f103(f900(x33151))),f103(f900(x33151)))
% 183.74/183.89 [3318]E(f317(f317(f75(a1),a77),x33181),a77)
% 183.74/183.89 [3319]E(f317(f317(f74(a1),a77),x33191),x33191)
% 183.74/183.89 [3322]E(f317(a95,f317(f90(a1),x33221)),x33221)
% 183.74/183.89 [3323]E(f317(f317(f3(a1),x33231),a77),x33231)
% 183.74/183.89 [3324]E(f317(f317(f74(a1),x33241),a77),x33241)
% 183.74/183.89 [3326]E(f317(f317(f3(a899),x33261),x33261),f2(a899))
% 183.74/183.89 [3330]E(f317(f29(a899),f317(f272(a899),x33301)),x33301)
% 183.74/183.89 [3331]E(f317(f73(a1),f317(f73(a1),x33311)),x33311)
% 183.74/183.89 [3342]E(f317(f317(f75(a899),f72(a899)),x33421),x33421)
% 183.74/183.89 [3343]E(f317(f317(f75(a1),f72(a1)),x33431),x33431)
% 183.74/183.89 [3344]E(f317(f317(f74(a899),f2(a899)),x33441),x33441)
% 183.74/183.89 [3345]E(f317(f317(f74(a1),f2(a1)),x33451),x33451)
% 183.74/183.89 [3346]E(f317(f317(f223(a899),f2(a899)),x33461),x33461)
% 183.74/183.89 [3352]E(f317(f317(f3(a899),f2(a899)),x33521),f2(a899))
% 183.74/183.89 [3353]E(f317(f317(f75(a899),f2(a899)),x33531),f2(a899))
% 183.74/183.89 [3354]E(f317(f317(f228(a899),f2(a899)),x33541),f2(a899))
% 183.74/183.89 [3355]E(f317(f317(f30(a1),f2(a1)),x33551),f2(a1))
% 183.74/183.89 [3365]E(f118(x33651,f317(f73(a1),x33651)),f122(a1,x33651))
% 183.74/183.89 [3370]E(f317(f292(a899,f2(a899)),x33701),f317(f272(a899),x33701))
% 183.74/183.89 [3371]E(f317(f317(f75(a1),a87),x33711),f317(f73(a1),x33711))
% 183.74/183.89 [3379]E(f317(a95,f317(f94(a1),x33791)),f317(f94(a899),x33791))
% 183.74/183.89 [3380]E(f317(a22,f317(f94(a89),x33801)),f317(f94(a899),x33801))
% 183.74/183.89 [3381]E(f317(f29(a899),f317(f291(a899),x33811)),f317(a102,x33811))
% 183.74/183.89 [3390]E(f317(f317(f74(a899),f72(a899)),x33901),f317(a102,x33901))
% 183.74/183.89 [3394]E(f317(f70(a1),f317(f90(a1),x33941)),f317(f90(a1),x33941))
% 183.74/183.89 [3395]E(f317(f93(a1),f317(f90(a1),x33951)),f317(f90(a1),x33951))
% 183.74/183.89 [3399]E(f317(f29(x33991),f178(f906(x33991,a895))),f2(a899))
% 183.74/183.89 [3401]E(f317(f317(f30(a899),x34011),f317(a102,f2(a899))),x34011)
% 183.74/183.89 [3410]E(f40(a899,x34101,f317(a102,f2(a899))),f2(a899))
% 183.74/183.89 [3411]E(f40(a1,x34111,f317(f94(a1),a87)),f2(a1))
% 183.74/183.89 [3426]E(f317(f317(f30(a1),x34261),f317(f94(a1),a87)),f317(f73(a1),x34261))
% 183.74/183.89 [3430]E(f129(a899,f317(f292(a899,x34301),f2(a899))),f103(a899))
% 183.74/183.89 [3431]E(f317(f317(f74(a1),x34311),f72(a1)),f317(f317(f3(a1),x34311),a87))
% 183.74/183.89 [3432]E(f317(f317(f3(a1),x34321),f72(a1)),f317(f317(f74(a1),x34321),a87))
% 183.74/183.89 [3436]P1(f317(f317(f224(a899),x34361),x34361))
% 183.74/183.89 [3437]P1(f317(f317(f224(a1),x34371),x34371))
% 183.74/183.89 [3438]P1(f317(f317(f277(a899),x34381),x34381))
% 183.74/183.89 [3443]E(f317(f73(a1),f317(f94(a1),x34431)),f317(f94(a1),f317(f73(a1),x34431)))
% 183.74/183.89 [3444]P1(f317(f28(a899),f317(f291(a899),x34441)))
% 183.74/183.89 [3445]P1(f317(f28(a899),f317(f272(a899),x34451)))
% 183.74/183.89 [3452]E(f151(x34521,f232(f906(x34521,a895))),f232(f906(f900(x34521),a895)))
% 183.74/183.89 [3457]P1(f317(f317(f224(a899),f2(a899)),x34571))
% 183.74/183.89 [3468]E(f317(f317(f74(a899),f101(x34681)),f317(a102,f2(a899))),f101(f317(a102,x34681)))
% 183.74/183.89 [3469]E(f317(f252(x34691),f317(f18(a895,x34691),a229)),f178(f906(x34691,a895)))
% 183.74/183.89 [3470]E(f317(f252(x34701),f317(f18(a895,x34701),a177)),f232(f906(x34701,a895)))
% 183.74/183.89 [3473]E(f317(f317(f299(a899),x34731),f317(f272(a899),x34731)),f317(f272(a899),f317(a102,x34731)))
% 183.74/183.89 [3485]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34851)),f317(f90(a1),f317(a102,x34851)))
% 183.74/183.89 [3487]E(f317(f317(f141(f900(x34871)),f103(x34871)),f103(f900(x34871))),f49(x34871,f103(x34871)))
% 183.74/183.89 [3505]E(f178(f906(f905(x35051,x35051),a895)),f253(x35051,f178(f906(x35051,a895))))
% 183.74/183.89 [3506]E(f317(f298(x35061),f232(f906(x35061,a895))),f232(f906(f906(x35061,a895),a895)))
% 183.74/183.89 [3507]E(f317(f73(f906(x35071,a895)),f178(f906(x35071,a895))),f232(f906(x35071,a895)))
% 183.74/183.89 [3508]E(f317(f73(f906(x35081,a895)),f232(f906(x35081,a895))),f178(f906(x35081,a895)))
% 183.74/183.89 [3510]P1(f317(f28(x35101),f178(f906(x35101,a895))))
% 183.74/183.89 [3512]E(f317(f292(a899,x35121),f317(a102,x35121)),f317(f317(f299(a899),x35121),f178(f906(a899,a895))))
% 183.74/183.89 [3513]E(f79(f905(a899,a899),f43(x35131,f2(a899))),f317(f317(f242(a899,a899),f2(a899)),x35131))
% 183.74/183.89 [3526]E(f317(f317(f299(a899),f317(a102,x35261)),f317(f291(a899),x35261)),f317(f291(a899),f317(a102,x35261)))
% 183.74/183.89 [3530]P36(x35301,f178(f906(f905(x35301,x35301),a895)))
% 183.74/183.89 [3531]P38(x35311,f178(f906(f905(x35311,x35311),a895)))
% 183.74/183.89 [3534]P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x35341)))
% 183.74/183.89 [3541]E(f317(f317(f74(a899),f317(f179(a899),x35411)),f317(a102,f2(a899))),f317(f179(a899),f317(a102,x35411)))
% 183.74/183.89 [3644]P39(f317(f300(a899,a1,f90(a1)),x36441))
% 183.74/183.89 [3682]P52(x36821,f178(f906(x36821,a895)),f178(f906(f905(x36821,x36821),a895)))
% 183.74/183.89 [3700]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f3(a1),x37001),f72(a1))),f45(f317(f94(a1),a87),x37001))
% 183.74/183.89 [3752]P59(x37521,f317(f18(f906(x37521,a895),x37521),f317(f18(a895,x37521),a229)))
% 183.74/183.89 [3764]E(f280(a899,f277(a899),x37641,x37641),f317(f317(f299(a899),x37641),f178(f906(a899,a895))))
% 183.74/183.89 [3953]P1(f317(f317(f319(f906(f905(a899,a899),a895)),f318(x39531)),a88))
% 183.74/183.89 [3978]P1(f317(f317(f319(f906(f905(a899,a899),a895)),f317(a97,x39781)),a88))
% 183.74/183.89 [4107]P24(x41071,f906(x41071,a895),f317(f317(f9(x41071,f906(x41071,a895),f906(x41071,a895)),f299(x41071)),f178(f906(x41071,a895))),f232(f906(x41071,a895)))
% 183.74/183.89 [4587]~E(f317(f317(f74(a1),x45871),x45871),a87)
% 183.74/183.89 [4600]~E(f317(a5,f317(a102,f317(a22,x46001))),f2(a89))
% 183.74/183.89 [4606]~P1(f317(a183,f317(f90(a1),x46061)))
% 183.74/183.89 [4609]~P1(f317(f317(f225(a899),x46091),x46091))
% 183.74/183.89 [4617]~P1(f317(f317(f224(a899),f317(a102,x46171)),x46171))
% 183.74/183.89 [3460]E(f317(a95,f317(f73(a1),f317(f90(a1),x34601))),f2(a899))
% 183.74/183.89 [3463]E(f317(f317(f74(a1),f317(f73(a1),x34631)),x34631),f2(a1))
% 183.74/183.89 [3467]E(f317(f29(a1),f317(f292(a1,f2(a1)),x34671)),f317(a95,x34671))
% 183.74/183.89 [3478]E(f317(f317(f234(a899),f317(a102,f2(a899))),x34781),f317(a102,f2(a899)))
% 183.74/183.89 [3571]E(f317(f271(x35711),f178(f906(f905(x35711,x35711),a895))),f178(f906(x35711,a895)))
% 183.74/183.89 [3579]E(f31(f906(x35791,a895),f178(f906(f906(x35791,a895),a895))),f178(f906(x35791,a895)))
% 183.74/183.89 [3580]E(f31(f906(x35801,a895),f232(f906(f906(x35801,a895),a895))),f232(f906(x35801,a895)))
% 183.74/183.89 [3581]E(f32(f906(x35811,a895),f178(f906(f906(x35811,a895),a895))),f232(f906(x35811,a895)))
% 183.74/183.89 [3582]E(f32(f906(x35821,a895),f232(f906(f906(x35821,a895),a895))),f178(f906(x35821,a895)))
% 183.74/183.89 [3586]P1(f317(f317(f277(a899),f317(a102,f2(a899))),x35861))
% 183.74/183.89 [3627]E(f317(f317(f299(f900(x36271)),f103(x36271)),f178(f906(f900(x36271),a895))),f151(x36271,f178(f906(x36271,a895))))
% 183.74/183.89 [3628]E(f317(f317(f299(f900(x36281)),f103(x36281)),f178(f906(f900(x36281),a895))),f152(x36281,f103(f906(x36281,a895))))
% 183.74/183.89 [3666]E(f317(f317(f74(a899),f6(x36661)),f317(a102,f2(a899))),f6(f317(a5,f317(a102,f317(a22,x36661)))))
% 183.74/183.89 [3691]E(f317(f29(a1),f317(f300(a899,a1,f90(a1)),x36911)),f317(f29(a899),x36911))
% 183.74/183.89 [3692]P1(f317(f317(f224(a899),x36921),f317(f317(f75(a899),x36921),x36921)))
% 183.74/183.89 [3730]E(f317(f300(a1,a899,a95),f293(a1,f2(a1),f317(f90(a1),x37301))),f317(f291(a899),x37301))
% 183.74/183.89 [3747]E(f317(f317(f30(a899),f317(a102,f2(a899))),f317(f94(a899),x37471)),f317(a95,f317(f317(f30(a1),f72(a1)),f317(f94(a1),x37471))))
% 183.74/183.89 [3749]E(f317(f162(a899),f129(a899,f317(f292(a899,f2(a899)),f317(a102,x37491)))),f317(f291(a899),x37491))
% 183.74/183.89 [3750]E(f317(f317(f74(a899),f317(f179(a89),x37501)),f317(a102,f2(a899))),f317(f179(a89),f317(a5,f317(a102,f317(a22,x37501)))))
% 183.74/183.89 [3770]P38(x37701,f297(x37701,f178(f906(f905(x37701,x37701),a895))))
% 183.74/183.89 [3771]P51(x37711,f297(x37711,f178(f906(f905(x37711,x37711),a895))))
% 183.74/183.89 [3772]E(f317(f300(a1,a899,a95),f317(f300(a899,a1,f90(a1)),x37721)),x37721)
% 183.74/183.89 [3802]E(f317(f317(f299(a899),f2(a899)),f317(f300(a899,a899,a102),f317(f272(a899),x38021))),f317(f272(a899),f317(a102,x38021)))
% 183.74/183.89 [3808]P54(x38081,x38081,f297(x38081,f178(f906(f905(x38081,x38081),a895))))
% 183.74/183.89 [3814]P1(f317(a183,f317(f73(a1),f317(f90(a1),f317(a102,x38141)))))
% 183.74/183.89 [3824]E(f317(f317(f3(f906(a899,a895)),f317(f273(a899),x38241)),f317(f317(f299(a899),x38241),f178(f906(a899,a895)))),f317(f273(a899),f317(a102,x38241)))
% 183.74/183.89 [3841]E(f317(f317(f74(a1),f317(f317(f3(a1),a77),x38411)),f317(f317(f3(a1),a77),x38411)),f317(f317(f3(a1),a77),f317(f317(f74(a1),x38411),x38411)))
% 183.74/183.89 [3855]E(f317(f317(f299(f906(x38551,a895)),f178(f906(x38551,a895))),f178(f906(f906(x38551,a895),a895))),f317(f298(x38551),f178(f906(x38551,a895))))
% 183.74/183.89 [3883]E(f317(f317(f3(f906(a899,a895)),f317(f294(a899),x38831)),f317(f317(f299(a899),f317(a102,x38831)),f178(f906(a899,a895)))),f317(f294(a899),f317(a102,x38831)))
% 183.74/183.89 [3990]E(f317(f94(a899),f317(f317(f74(a1),x39901),x39901)),f317(f317(f80(a899,a899),f317(f94(a899),x39901)),f317(f317(f20(a899,a899,a899),f74(a899)),f7(a899))))
% 183.74/183.89 [4361]P14(x43611,f906(x43611,a895),f317(f317(f10(f906(x43611,a895),f906(f906(x43611,a895),f906(x43611,a895)),x43611),f317(f9(f906(x43611,a895),f906(x43611,a895),f906(x43611,a895)),f3(f906(x43611,a895)))),f317(f317(f9(x43611,f906(x43611,a895),f906(x43611,a895)),f299(x43611)),f178(f906(x43611,a895)))))
% 183.74/183.89 [4448]E(f317(f252(f905(a1,a1)),f317(f247(a1,a1,a895),f317(f317(f10(f906(a1,a895),f906(a1,a895),a1),f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),x44481)))),f225(a1)))),f98(x44481))
% 183.74/183.89 [4481]E(f317(f252(f905(a1,a1)),f317(f247(a1,a1,a895),f317(f317(f20(a1,f906(a1,a895),f906(a1,a895)),f317(f317(f10(f906(a895,a895),f906(f906(a1,a895),f906(a1,a895)),a1),f10(a895,a895,a1)),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),x44811)))),f225(a1)))),f96(x44811))
% 183.74/183.89 [4534]E(f317(f252(f905(f906(x45341,a895),f906(x45341,a895))),f317(f247(f906(x45341,a895),f906(x45341,a895),a895),f317(f317(f9(f906(x45341,a895),f906(f906(x45341,a895),a895),f906(f906(x45341,a895),a895)),f317(f317(f10(f906(f906(x45341,a895),f906(a895,a895)),f906(f906(f906(x45341,a895),a895),f906(f906(x45341,a895),a895)),f906(x45341,a895)),f20(f906(x45341,a895),a895,a895)),f317(f317(f10(f906(f906(x45341,a895),a895),f906(f906(x45341,a895),f906(a895,a895)),f906(x45341,a895)),f317(f10(a895,f906(a895,a895),f906(x45341,a895)),a315)),f225(f906(x45341,a895))))),f28(x45341)))),f304(x45341))
% 183.74/183.89 [4621]~P1(f317(f28(f900(x46211)),f232(f906(f900(x46211),a895))))
% 183.74/183.89 [4633]~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46331)))))
% 183.74/183.89 [3606]E(f317(f317(f3(a1),f317(f317(f74(a1),x36061),a87)),a87),x36061)
% 183.74/183.89 [3620]E(f317(f162(a899),f129(a899,f317(f292(a899,f2(a899)),x36201))),f317(f272(a899),x36201))
% 183.74/183.89 [3862]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x38621)),x38621),f317(f317(f3(a1),f317(f317(f74(a1),x38621),x38621)),a87))
% 183.74/183.89 [3910]E(f317(f276(x39101,x39101),f297(x39101,f178(f906(f905(x39101,x39101),a895)))),f297(x39101,f178(f906(f905(x39101,x39101),a895))))
% 183.74/183.89 [3956]P1(f317(f317(f224(a899),x39561),f317(f317(f75(a899),x39561),f317(f317(f75(a899),x39561),x39561))))
% 183.74/183.89 [4224]P1(f317(f28(a899),f317(f252(a899),f317(f317(f9(a899,a899,a895),f224(a899)),x42241))))
% 183.74/183.89 [4225]P1(f317(f28(a899),f317(f252(a899),f317(f317(f9(a899,a899,a895),f225(a899)),x42251))))
% 183.74/183.89 [4497]E(f317(f252(f905(x44971,x44971)),f317(f317(f10(f906(x44971,a895),a895,f905(x44971,x44971)),f81(x44971)),f317(f317(f9(f905(x44971,x44971),f906(x44971,f905(x44971,x44971)),f906(x44971,a895)),f317(f317(f10(f906(f905(x44971,x44971),a895),f906(f906(x44971,f905(x44971,x44971)),f906(x44971,a895)),f905(x44971,x44971)),f10(f905(x44971,x44971),a895,x44971)),a314)),f317(f317(f20(x44971,x44971,f905(x44971,x44971)),f242(x44971,x44971)),f7(x44971))))),f297(x44971,f178(f906(f905(x44971,x44971),a895))))
% 183.74/183.89 [4623]~E(f317(f317(f3(a1),f317(f317(f74(a1),x46231),x46231)),a87),a77)
% 183.74/183.89 [4625]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46251)),x46251),f2(a1))
% 183.74/183.89 [4000]E(f317(f317(f74(a1),f317(f317(f3(a1),a87),x40001)),f317(f317(f3(a1),a87),x40001)),f317(f317(f3(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x40001),x40001)),a87)))
% 183.74/183.89 [4115]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),a87),x41151)),f317(f317(f3(a1),a87),x41151))),a87),f317(f317(f3(a1),a87),f317(f317(f74(a1),x41151),x41151)))
% 183.74/183.89 [4147]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x41471),a87)),f317(f317(f74(a1),x41471),a87))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x41471),x41471)),a87))
% 183.74/183.89 [4185]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),a87),x41851)),f317(f317(f3(a1),a87),x41851))),a87),f317(f317(f3(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x41851),x41851)),a87)))
% 183.74/183.89 [4282]E(f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x42821),f2(a899))),f178(f906(f905(a899,a899),a895))))),f317(f90(a1),x42821))
% 183.74/183.89 [4292]E(f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),f322(x42921)),f492(x42921))),f178(f906(f905(a899,a899),a895))))),x42921)
% 183.74/183.89 [4325]E(f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x43251)),f317(f300(a899,a1,f90(a1)),f317(f252(a899),f317(f317(f10(a1,a895,a899),x43251),f90(a1)))))
% 183.74/183.89 [4369]P39(f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x43691)))
% 183.74/183.89 [4389]P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x43891),f178(f906(f905(a899,a899),a895)))),a66))
% 183.74/183.89 [4394]E(f317(f300(a1,a899,a95),f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f10(a899,a895,a1),x43941),a95)))),f317(f252(a899),x43941))
% 183.74/183.89 [4549]E(f302(a899,f317(f317(f35(f905(a899,a899),f906(a899,a895)),f317(a97,x45491)),f317(f247(a899,a899,f906(a899,a895)),f317(f317(f9(a899,f906(a899,a895),f906(a899,f906(a899,a895))),f317(f317(f10(f906(a899,f906(f906(a899,a895),f906(a899,a895))),f906(f906(a899,a895),f906(a899,f906(a899,a895))),a899),f9(a899,f906(a899,a895),f906(a899,a895))),f317(f317(f10(f906(a899,a899),f906(a899,f906(f906(a899,a895),f906(a899,a895))),a899),f317(f10(a899,f906(f906(a899,a895),f906(a899,a895)),a899),f299(a899))),f3(a899)))),f178(f906(a899,a895)))))),f317(a95,x45491))
% 183.74/183.89 [4045]E(f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x40451),x40451)),a87)),a87),f317(f317(f74(a1),x40451),x40451))
% 183.74/183.89 [4095]E(f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x40951),x40951)),a87)),a87),f317(f317(f74(a1),f317(f317(f3(a1),x40951),a87)),f317(f317(f3(a1),x40951),a87)))
% 183.74/183.89 [4298]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f73(a1),x42981)),a87)),f317(f317(f74(a1),f317(f73(a1),x42981)),a87))),a87),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42981),x42981)),a87)))
% 183.74/183.89 [4342]E(f317(f317(f74(a899),x43421),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,x43421)))
% 183.74/183.89 [4343]E(f317(f317(f75(a899),x43431),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(a899),x43431),x43431))
% 183.74/183.89 [4344]E(f317(f317(f30(a899),f317(f317(f74(a899),x43441),x43441)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x43441)
% 183.74/183.89 [4422]E(f40(a899,f317(a102,f317(a102,x44221)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a899,x44221,f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 183.74/183.89 [4563]E(f317(a83,f317(f317(f35(f905(a899,a899),f906(f905(a899,a899),a895)),f317(a97,x45631)),f317(f247(a899,a899,f906(f905(a899,a899),a895)),f317(f317(f10(f906(a899,f906(f905(a899,a899),a895)),f906(a899,f906(f905(a899,a899),a895)),a899),f317(f10(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895),a899),f275(f905(a899,a899),f905(a899,a899),a99))),f317(f317(f9(a899,f906(f905(a899,a899),a895),f906(a899,f906(f905(a899,a899),a895))),f317(f317(f10(f906(a899,f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f906(f906(f905(a899,a899),a895),f906(a899,f906(f905(a899,a899),a895))),a899),f9(a899,f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f10(f906(a899,f905(a899,a899)),f906(a899,f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),a899),f317(f10(f905(a899,a899),f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a899),f299(f905(a899,a899)))),f317(f9(a899,a899,f905(a899,a899)),f242(a899,a899))))),f178(f906(f905(a899,a899),a895))))))),f317(f73(a1),x45631))
% 183.74/183.89 [4417]E(f317(f317(f74(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44171),f317(a102,f317(a102,x44171)))
% 183.74/183.89 [4418]E(f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44181),f317(f317(f74(a899),x44181),x44181))
% 183.74/183.89 [4454]E(f317(f317(f30(a899),f317(a102,f317(a102,x44541))),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(f317(f30(a899),x44541),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 183.74/183.89 [4504]E(f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45041),f317(a102,f317(a102,f317(a102,x45041))))
% 183.74/183.89 [4570]E(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f20(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f20(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f10(f906(a1,f905(a1,a1)),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f20(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f10(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f10(a1,a895,a1),f317(f224(a1),f2(a1))),f317(f317(f9(a1,a1,a1),f3(a1)),x45701))))),f317(f317(f9(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f10(a1,f905(a1,a1),a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f906(a1,a1),a1),f74(a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f72(a1))))),f317(f317(f9(a1,a1,a1),f3(a1)),x45701))))),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f38(x45701))
% 183.74/183.89 [3284]P105(f904(x32841,x32842))
% 183.74/183.89 [3285]P105(f903(x32851,x32852))
% 183.74/183.89 [3286]P105(f905(x32861,x32862))
% 183.74/183.89 [3304]P13(a1,f168(x33041,x33042))
% 183.74/183.89 [3305]P36(x33051,f143(x33051,x33052))
% 183.74/183.89 [3306]P37(x33061,f253(x33061,x33062))
% 183.74/183.89 [3307]P37(x33071,f297(x33071,x33072))
% 183.74/183.89 [3308]P38(x33081,f253(x33081,x33082))
% 183.74/183.89 [3309]P51(x33091,f253(x33091,x33092))
% 183.74/183.89 [3372]P30(x33721,x33722,f103(x33721))
% 183.74/183.89 [3405]P52(x34051,x34052,f253(x34051,x34052))
% 183.74/183.89 [3406]P54(x34061,x34061,f253(x34061,x34062))
% 183.74/183.89 [3669]P24(x36691,x36691,f7(x36691),x36692)
% 183.74/183.89 [3670]P24(x36701,x36701,f25(x36701),x36702)
% 183.74/183.89 [3678]P31(x36781,x36782,f103(x36781),f103(x36781))
% 183.74/183.89 [3685]P24(f900(x36851),f900(x36851),f158(x36851),x36852)
% 183.74/183.89 [4085]P25(x40851,x40851,f25(x40851),x40852,x40852)
% 183.74/183.89 [4595]~P32(x45951,x45952,f103(x45951))
% 183.74/183.89 [4596]~P34(x45961,x45962,f103(x45961))
% 183.74/183.89 [3270]E(f317(f7(x32701),x32702),x32702)
% 183.74/183.89 [3271]E(f317(f252(x32711),x32712),x32712)
% 183.74/183.89 [3273]E(f317(f25(x32731),x32732),x32732)
% 183.74/183.89 [3283]E(f317(f181(x32831),x32832),f105(x32831))
% 183.74/183.89 [3302]E(f79(x33021,f317(a314,x33022)),x33022)
% 183.74/183.89 [3303]E(f84(x33031,f317(a314,x33032)),x33032)
% 183.74/183.89 [3325]E(f317(f115(x33251,x33252),f109(x33251)),f2(a899))
% 183.74/183.89 [3328]E(f317(f126(x33281,x33282),f103(x33281)),f103(x33281))
% 183.74/183.89 [3348]E(f297(x33481,f297(x33481,x33482)),f297(x33481,x33482))
% 183.74/183.89 [3349]E(f142(x33491,f142(x33491,x33492)),f142(x33491,x33492))
% 183.74/183.89 [3367]E(f317(f317(f124(x33671),x33672),f103(x33671)),x33672)
% 183.74/183.89 [3373]E(f163(x33731,x33732,f103(x33731)),x33732)
% 183.74/183.89 [3374]E(f163(x33741,f103(x33741),x33742),x33742)
% 183.74/183.89 [3375]E(f106(x33751,f109(x33751),x33752),x33752)
% 183.74/183.89 [3376]E(f159(x33761,f2(a899),x33762),f103(x33761))
% 183.74/183.89 [3382]E(f317(f317(f165(x33821),x33822),f103(x33821)),f103(x33821))
% 183.74/183.89 [3383]E(f317(f317(f128(x33831),x33832),f103(x33831)),f103(x33831))
% 183.74/183.89 [3385]E(f145(x33851,x33852,f103(x33851)),f2(a899))
% 183.74/183.89 [3387]E(f160(x33871,x33872,f103(x33871)),f103(x33871))
% 183.74/183.89 [3388]E(f167(x33881,x33882,f103(x33881)),f103(x33881))
% 183.74/183.89 [3389]E(f166(x33891,f103(x33891),x33892),f103(x33891))
% 183.74/183.89 [3393]E(f317(f162(x33931),f142(x33931,x33932)),f317(f162(x33931),x33932))
% 183.74/183.89 [3396]E(f317(f274(x33961,x33961),f253(x33961,x33962)),x33962)
% 183.74/183.89 [3397]E(f317(f254(x33971,x33971),f253(x33971,x33972)),x33972)
% 183.74/183.89 [3404]E(f317(f276(x34041,x34041),f253(x34041,x34042)),f253(x34041,x34042))
% 183.74/183.89 [3418]E(f297(f900(x34181),f147(x34181,x34182)),f148(x34181,f297(x34181,x34182)))
% 183.74/183.89 [3420]P1(f317(f127(a1),f168(x34201,x34202)))
% 183.74/183.89 [3428]E(f317(f274(x34281,x34281),f297(x34281,x34282)),f232(f906(x34281,a895)))
% 183.74/183.89 [3429]E(f317(f254(x34291,x34291),f297(x34291,x34292)),f232(f906(x34291,a895)))
% 183.74/183.89 [3433]P1(f317(f127(x34331),f142(x34331,x34332)))
% 183.74/183.89 [3435]P1(f317(f150(x34351,x34352),f103(x34351)))
% 183.74/183.89 [3441]E(f317(f162(a1),f168(x34411,x34412)),f293(a1,x34411,x34412))
% 183.74/183.89 [3455]P55(x34551,f178(f906(x34551,a895)),x34552)
% 183.74/183.89 [3461]E(f317(f246(a1,a1),f41(x34611,x34612)),f40(a1,x34611,x34612))
% 183.74/183.89 [3462]E(f317(f292(a899,x34621),f317(a102,x34622)),f293(a899,x34621,x34622))
% 183.74/183.89 [3477]E(f317(f317(f141(x34771),x34772),f103(x34771)),f130(x34771,x34772,f103(x34771)))
% 183.74/183.89 [3489]E(f293(a899,f317(a102,x34891),x34892),f295(a899,x34891,x34892))
% 183.74/183.89 [3490]P52(x34901,f232(f906(x34901,a895)),f297(x34901,x34902))
% 183.74/183.89 [3552]E(f317(f317(f3(a899),x35521),f317(a102,x35522)),f317(f29(a899),f296(a899,x35522,x35521)))
% 183.74/183.89 [3607]E(f156(x36071,x36072,f103(x36071)),f317(f317(f242(f900(x36071),f900(x36071)),f103(x36071)),f103(x36071)))
% 183.74/183.89 [3625]E(f317(f247(x36251,x36252,f905(x36251,x36252)),f242(x36251,x36252)),f25(f905(x36251,x36252)))
% 183.74/183.89 [3629]P1(f317(f317(f319(f900(x36291)),f103(x36291)),f151(x36291,x36292)))
% 183.74/183.89 [3630]E(f317(f179(f900(x36301)),f104(x36301,x36302)),f317(f317(f3(a899),f317(f179(f900(x36301)),x36302)),f72(a899)))
% 183.74/183.89 [3638]P1(f317(f28(a899),f296(a899,x36381,x36382)))
% 183.74/183.89 [3639]P1(f317(f28(a899),f293(a899,x36391,x36392)))
% 183.74/183.89 [3640]P1(f317(f28(a899),f295(a899,x36401,x36402)))
% 183.74/183.89 [3641]P1(f317(f28(a1),f296(a1,x36411,x36412)))
% 183.74/183.89 [3642]P1(f317(f28(a1),f293(a1,x36421,x36422)))
% 183.74/183.89 [3643]P1(f317(f28(a1),f295(a1,x36431,x36432)))
% 183.74/183.89 [3746]E(f317(f300(a899,a899,a102),f293(a899,x37461,x37462)),f293(a899,f317(a102,x37461),f317(a102,x37462)))
% 183.74/183.89 [3766]E(f317(f317(f279(x37661,x37661,x37661),f297(x37661,x37662)),f297(x37661,x37662)),f297(x37661,x37662))
% 183.74/183.89 [3800]E(f317(f317(f242(a89,a89),f317(f317(f30(a89),x38001),x38002)),f40(a89,x38001,x38002)),f23(x38001,x38002))
% 183.74/183.89 [3801]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x38011),x38012)),f40(a1,x38011,x38012)),f41(x38011,x38012))
% 183.74/183.89 [3828]E(f317(f317(f242(a899,a899),f317(f317(f30(a899),x38281),x38282)),f40(a899,x38281,x38282)),f79(f905(a899,a899),f43(x38281,x38282)))
% 183.74/183.89 [3879]P1(f317(f317(f225(a899),f317(f317(f3(a899),x38791),x38792)),f317(a102,x38791)))
% 183.74/183.89 [3927]P37(x39271,f317(f317(f279(x39271,x39271,x39271),x39272),f297(x39271,x39272)))
% 183.74/183.89 [3977]E(f317(f317(f74(a1),f317(f317(f75(a1),x39771),f317(f317(f30(a1),x39772),x39771))),f40(a1,x39772,x39771)),x39772)
% 183.74/183.89 [3981]E(f317(f317(f35(a899,f906(f905(f900(x39811),f900(x39811)),a895)),f232(f906(a899,a895))),f133(x39811,x39812)),f135(x39811,x39812))
% 183.74/183.89 [4201]P1(f317(f317(f319(f905(f900(x42011),f900(x42011))),f317(f317(f242(f900(x42011),f900(x42011)),f103(x42011)),f103(x42011))),f148(x42011,x42012)))
% 183.74/183.89 [4310]E(f243(x43101,x43101,x43101,a314,f243(x43101,x43101,x43101,x43102,a314)),x43102)
% 183.74/183.89 [4354]E(f248(x43541,x43541,x43542,x43542,f7(x43541),f7(x43542)),f25(f905(x43541,x43542)))
% 183.74/183.89 [4356]E(f248(x43561,x43561,x43562,x43562,f25(x43561),f25(x43562)),f25(f905(x43561,x43562)))
% 183.74/183.89 [3366]E(f317(f158(x33661),f317(f158(x33661),x33662)),x33662)
% 183.74/183.89 [3368]E(f317(f317(f128(x33681),f2(a899)),x33682),x33682)
% 183.74/183.89 [3384]E(f317(f317(f165(x33841),f2(a899)),x33842),f103(x33841))
% 183.74/183.89 [3391]E(f317(f317(f124(x33911),f103(x33911)),x33912),x33912)
% 183.74/183.89 [3400]E(f31(f906(x34001,a895),f317(f298(x34001),x34002)),x34002)
% 183.74/183.89 [3402]E(f317(f162(x34021),f317(f157(x34021),x34022)),f317(f162(x34021),x34022))
% 183.74/183.89 [3403]E(f317(f162(x34031),f317(f158(x34031),x34032)),f317(f162(x34031),x34032))
% 183.74/183.89 [3408]E(f317(f317(f3(a89),x34081),x34082),f317(f317(a4,x34081),x34082))
% 183.74/183.89 [3422]E(f317(f317(f75(a899),x34221),x34222),f317(f317(f75(a899),x34222),x34221))
% 183.74/183.89 [3423]E(f317(f317(f75(a1),x34231),x34232),f317(f317(f75(a1),x34232),x34231))
% 183.74/183.89 [3424]E(f317(f317(f74(a899),x34241),x34242),f317(f317(f74(a899),x34242),x34241))
% 183.74/183.89 [3425]E(f317(f317(f74(a1),x34251),x34252),f317(f317(f74(a1),x34252),x34251))
% 183.74/183.89 [3447]E(f317(f317(f173(x34471,x34471),f2(a899)),x34472),f25(x34471))
% 183.74/183.89 [3448]E(f317(f179(f900(x34481)),f317(f157(x34481),x34482)),f317(f179(f900(x34481)),x34482))
% 183.74/183.89 [3449]E(f317(f179(f900(x34491)),f317(f158(x34491),x34492)),f317(f179(f900(x34491)),x34492))
% 183.74/183.89 [3450]E(f166(x34501,x34502,f178(f906(a899,a895))),f103(x34501))
% 183.74/183.89 [3451]E(f317(f317(f144(x34511,x34511),f7(x34511)),x34512),x34512)
% 183.74/183.89 [3453]E(f317(f241(a1,a1),f41(x34531,x34532)),f317(f317(f30(a1),x34531),x34532))
% 183.74/183.89 [3471]E(f317(f179(f900(x34711)),f142(x34711,x34712)),f317(f29(x34711),f317(f162(x34711),x34712)))
% 183.74/183.89 [3472]E(f317(f271(x34721),f317(f276(x34721,x34721),x34722)),f317(f271(x34721),x34722))
% 183.74/183.89 [3476]P1(f317(f28(x34761),f317(f162(x34761),x34762)))
% 183.74/183.89 [3484]E(f317(f317(f74(a1),x34841),f317(f73(a1),x34842)),f317(f317(f3(a1),x34841),x34842))
% 183.74/183.89 [3491]E(f317(f300(x34911,x34911,f7(x34911)),x34912),x34912)
% 183.74/183.89 [3492]E(f317(f300(x34921,x34921,f25(x34921)),x34922),x34922)
% 183.74/183.89 [3493]E(f317(f301(x34931,x34931,f7(x34931)),x34932),x34932)
% 183.74/183.89 [3494]E(f317(f301(x34941,x34941,f25(x34941)),x34942),x34942)
% 183.74/183.89 [3495]P1(f317(f232(f906(x34951,a895)),x34952))
% 183.74/183.89 [3497]E(f317(f29(a899),f317(f292(a899,x34971),x34972)),f317(f317(f3(a899),x34972),x34971))
% 183.74/183.89 [3498]E(f317(f292(a899,f317(a102,x34981)),x34982),f296(a899,x34981,x34982))
% 183.74/183.89 [3511]E(f317(f317(f299(x35111),x35112),f178(f906(x35111,a895))),f317(f252(x35111),f317(a314,x35112)))
% 183.74/183.89 [3516]E(f297(x35161,f317(f276(x35161,x35161),x35162)),f317(f276(x35161,x35161),f297(x35161,x35162)))
% 183.74/183.89 [3521]E(f317(f317(f74(a899),f317(a102,x35211)),x35212),f317(f317(f74(a899),x35211),f317(a102,x35212)))
% 183.74/183.89 [3522]E(f317(f317(f3(a899),f317(a102,x35221)),f317(a102,x35222)),f317(f317(f3(a899),x35221),x35222))
% 183.74/183.89 [3528]E(f50(x35281,f2(a899),x35282),f317(f317(f141(f900(x35281)),f103(x35281)),f103(f900(x35281))))
% 183.74/183.89 [3529]E(f317(f29(a899),f295(a899,x35291,x35292)),f317(f317(f3(a899),x35292),x35291))
% 183.74/183.89 [3538]P36(x35381,f317(f317(f278(a899,x35381),a230),x35382))
% 183.74/183.89 [3540]P13(a899,f129(a899,f317(f292(a899,x35401),x35402)))
% 183.74/183.89 [3542]P1(f317(f28(a899),f317(f292(a899,x35421),x35422)))
% 183.74/183.89 [3543]P1(f317(f28(a1),f317(f292(a1,x35431),x35432)))
% 183.74/183.89 [3546]E(f317(f276(f900(x35461),f900(x35461)),f147(x35461,x35462)),f147(x35461,f317(f276(x35461,x35461),x35462)))
% 183.74/183.89 [3548]E(f317(f292(a1,x35481),f317(f317(f74(a1),x35482),f72(a1))),f293(a1,x35481,x35482))
% 183.74/183.89 [3551]E(f317(f317(f30(a1),f317(f73(a1),x35511)),f317(f73(a1),x35512)),f317(f317(f30(a1),x35511),x35512))
% 183.74/183.89 [3559]E(f317(f317(f173(f905(x35591,x35591),a895),f72(a899)),x35592),x35592)
% 183.74/183.89 [3561]E(f317(f317(f3(f906(x35611,a895)),x35612),f178(f906(x35611,a895))),x35612)
% 183.74/183.89 [3562]E(f317(f317(f91(f906(x35621,a895)),x35622),f178(f906(x35621,a895))),x35622)
% 183.74/183.89 [3563]E(f317(f317(f92(f906(x35631,a895)),x35632),f232(f906(x35631,a895))),x35632)
% 183.74/183.89 [3564]E(f317(f241(a899,a899),f79(f905(a899,a899),f43(x35641,x35642))),f317(f317(f30(a899),x35641),x35642))
% 183.74/183.89 [3570]E(f293(a1,f317(f317(f74(a1),x35701),f72(a1)),x35702),f295(a1,x35701,x35702))
% 183.74/183.89 [3575]E(f317(f246(a899,a899),f79(f905(a899,a899),f43(x35751,x35752))),f40(a899,x35751,x35752))
% 183.74/183.89 [3585]P1(f317(f317(f319(x35851),x35852),f232(f906(x35851,a895))))
% 183.74/183.89 [3590]E(f317(f317(f3(a899),f317(a102,x35901)),x35902),f317(f29(a899),f293(a899,x35902,x35901)))
% 183.74/183.89 [3616]E(f317(f317(f3(f906(x36161,a895)),x36162),f232(f906(x36161,a895))),f178(f906(x36161,a895)))
% 183.74/183.89 [3617]E(f317(f317(f91(f906(x36171,a895)),x36172),f232(f906(x36171,a895))),f232(f906(x36171,a895)))
% 183.74/183.89 [3618]E(f317(f317(f92(f906(x36181,a895)),x36182),f178(f906(x36181,a895))),f178(f906(x36181,a895)))
% 183.74/183.89 [3633]E(f40(a1,f317(f90(a1),x36331),f317(f90(a1),x36332)),f317(f90(a1),f40(a899,x36331,x36332)))
% 183.74/183.89 [3634]E(f40(a1,f317(f73(a1),x36341),f317(f73(a1),x36342)),f317(f73(a1),f40(a1,x36341,x36342)))
% 183.74/183.89 [3645]E(f317(f179(f900(x36451)),f317(f161(x36451),x36452)),f317(f317(f3(a899),f317(f179(f900(x36451)),x36452)),f72(a899)))
% 183.74/183.89 [3671]E(f317(f317(f30(a1),f40(a1,x36711,x36712)),x36712),f2(a1))
% 183.74/183.89 [3680]E(f317(a5,f40(a899,f317(a22,x36801),f317(a22,x36802))),f40(a89,x36801,x36802))
% 183.74/183.89 [3713]E(f317(a5,f317(f317(f3(a899),f317(a22,x37131)),f317(a22,x37132))),f317(f317(f3(a89),x37131),x37132))
% 183.74/183.89 [3714]E(f317(a5,f317(f317(f75(a899),f317(a22,x37141)),f317(a22,x37142))),f317(f317(f75(a89),x37141),x37142))
% 183.74/183.89 [3715]E(f317(a5,f317(f317(f74(a899),f317(a22,x37151)),f317(a22,x37152))),f317(f317(f74(a89),x37151),x37152))
% 183.74/183.89 [3716]E(f317(a5,f317(f317(f30(a899),f317(a22,x37161)),f317(a22,x37162))),f317(f317(f30(a89),x37161),x37162))
% 183.74/183.89 [3724]E(f317(f300(a899,a899,a102),f317(f292(a899,x37241),x37242)),f317(f292(a899,f317(a102,x37241)),f317(a102,x37242)))
% 183.74/183.89 [3751]P1(f317(f43(x37511,x37512),f79(f905(a899,a899),f43(x37511,x37512))))
% 183.74/183.89 [3775]E(f40(a899,f317(a102,f40(a899,x37751,x37752)),x37752),f40(a899,f317(a102,x37751),x37752))
% 183.74/183.89 [3787]E(f317(f317(f35(f906(x37871,a895),f906(x37871,a895)),x37872),f7(f906(x37871,a895))),f31(f906(x37871,a895),x37872))
% 183.74/183.89 [3788]E(f317(f317(f34(f906(x37881,a895),f906(x37881,a895)),x37882),f7(f906(x37881,a895))),f32(f906(x37881,a895),x37882))
% 183.74/183.89 [3789]E(f317(f300(f900(x37891),f906(x37891,a895),f162(x37891)),f317(f162(f900(x37891)),f49(x37891,x37892))),f317(f298(x37891),f317(f162(x37891),x37892)))
% 183.74/183.89 [3793]P1(f317(f317(f319(f906(x37931,a895)),x37932),f317(f298(x37931),x37932)))
% 183.74/183.89 [3799]E(f40(a1,f317(f73(a1),f40(a1,x37991,x37992)),x37992),f40(a1,f317(f73(a1),x37991),x37992))
% 183.74/183.89 [3810]P1(f317(f317(f224(f906(x38101,a895)),x38102),f232(f906(x38101,a895))))
% 183.74/183.89 [3812]E(f317(f317(f279(x38121,x38121,x38121),f297(x38121,x38122)),f297(x38121,f297(x38121,x38122))),f297(x38121,x38122))
% 183.74/183.89 [3813]E(f317(f317(f91(f906(x38131,a895)),f317(f254(x38131,x38131),x38132)),f317(f274(x38131,x38131),x38132)),f317(f271(x38131),x38132))
% 183.74/183.89 [3834]E(f303(x38341,x38342,f232(f906(x38341,a895)),f232(f906(x38342,a895))),f232(f906(f904(x38341,x38342),a895)))
% 183.74/183.89 [3884]P1(f317(f317(f224(a899),f40(a899,x38841,x38842)),x38841))
% 183.74/183.89 [3908]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x39081))),f317(f90(a1),x39082)))
% 183.74/183.89 [3932]P1(f317(f317(f319(f906(x39321,a895)),f178(f906(x39321,a895))),f317(f298(x39321),x39322)))
% 183.74/183.89 [3937]E(f297(x39371,f317(f317(f279(x39371,x39371,x39371),x39372),f297(x39371,x39372))),f297(x39371,x39372))
% 183.74/183.89 [3940]E(f317(f317(f279(x39401,x39401,x39401),f297(x39401,x39402)),x39402),f317(f317(f279(x39401,x39401,x39401),x39402),f297(x39401,x39402)))
% 183.74/183.89 [3942]E(f317(a95,f317(f317(f74(a1),f317(f317(f3(a1),x39421),x39422)),f72(a1))),f317(f29(a1),f293(a1,x39422,x39421)))
% 183.74/183.89 [3957]E(f317(f274(x39571,x39571),f317(f317(f279(x39571,x39571,x39571),x39572),f297(x39571,x39572))),f317(f274(x39571,x39571),x39572))
% 183.74/183.89 [3958]E(f317(f254(x39581,x39581),f317(f317(f279(x39581,x39581,x39581),x39582),f297(x39581,x39582))),f317(f254(x39581,x39581),x39582))
% 183.74/183.89 [3976]E(f317(f132(f900(x39761),f900(x39761),f124(x39761),f103(x39761)),f159(f900(x39761),x39762,f103(x39761))),f103(x39761))
% 183.74/183.89 [3985]P24(a899,a899,f317(f317(f9(a899,a899,a899),f74(a899)),x39851),x39852)
% 183.74/183.89 [3987]P13(a899,f317(f158(a899),f317(f317(f144(f900(x39871),a899),f179(f900(x39871))),f169(x39871,x39872))))
% 183.74/183.89 [4017]P51(x40171,f317(f317(f91(f906(f905(x40171,x40171),a895)),x40172),f317(f276(x40171,x40171),x40172)))
% 183.74/183.89 [4018]P51(x40181,f317(f317(f92(f906(f905(x40181,x40181),a895)),x40182),f317(f276(x40181,x40181),x40182)))
% 183.74/183.89 [4029]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40291)))),f317(f90(a1),x40292)))
% 183.74/183.89 [4074]E(f317(f132(f900(x40741),x40741,f317(f9(x40741,f900(x40741),f900(x40741)),f141(x40741)),f103(x40741)),x40742),f317(f158(x40741),x40742))
% 183.74/183.89 [4122]P1(f317(f317(f224(f906(f905(f900(x41221),f900(x41221)),a895)),f148(x41221,x41222)),f297(f900(x41221),f147(x41221,x41222))))
% 183.74/183.89 [4151]P1(f317(f43(x41511,x41512),f317(f317(f242(a899,a899),f317(f317(f30(a899),x41511),x41512)),f40(a899,x41511,x41512))))
% 183.74/183.89 [4163]P1(f317(f317(f224(f906(f905(f900(x41631),f900(x41631)),a895)),f147(x41631,f297(x41631,x41632))),f297(f900(x41631),f147(x41631,x41632))))
% 183.74/183.89 [4379]E(f317(f317(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43791,f905(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f905(a89,x43791),a89),f241(a89,x43791)),x43792)))),f317(f317(f10(x43791,f906(f905(a89,a89),f905(x43791,f905(a89,a89))),a89),f242(x43791,f905(a89,a89))),f258(x43791,x43792))),f256(x43791,x43792))
% 183.74/183.89 [4456]E(f213(a899,f905(x44561,f901(x44561)),f2(a899),f317(f247(x44561,f901(x44561),a899),f317(f18(f906(f901(x44561),a899),x44561),f317(f317(f9(f901(x44561),a899,a899),f317(f317(f10(a899,f906(a899,a899),f901(x44561)),f74(a899)),f179(f901(x44561)))),f72(a899)))),f317(f125(x44561),x44562)),f317(f179(f901(x44561)),x44562))
% 183.74/183.89 [4562]E(f317(f247(f906(f905(x45621,x45621),a895),f906(f905(x45621,x45621),a895),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f317(f317(f9(f906(f905(x45621,x45621),a895),f906(f906(f905(x45621,x45621),a895),f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895))),f906(f906(f905(x45621,x45621),a895),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895))))),f317(f317(f10(f906(f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895)),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f906(f906(f906(f905(x45621,x45621),a895),f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895))),f906(f906(f905(x45621,x45621),a895),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895))))),f906(f905(x45621,x45621),a895)),f10(f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895)),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895))),f906(f905(x45621,x45621),a895))),f317(f317(f10(f906(f906(x45622,x45621),f906(f906(f905(x45622,x45622),a895),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f906(f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895)),f906(f906(x45622,x45621),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f906(f905(x45621,x45621),a895)),f20(f906(x45622,x45621),f906(f905(x45622,x45622),a895),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f317(f317(f10(f906(f906(x45622,x45621),f906(f905(x45622,x45622),a895)),f906(f906(x45622,x45621),f906(f906(f905(x45622,x45622),a895),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f906(f905(x45621,x45621),a895)),f317(f10(f906(f905(x45622,x45622),a895),f906(f906(f905(x45622,x45622),a895),f905(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895))),f906(x45622,x45621)),f242(f906(f905(x45622,x45622),a895),f906(f905(x45622,x45622),a895)))),f278(x45621,x45622))))),f278(x45621,x45622))),f68(x45621,x45622))
% 183.74/183.89 [4607]~E(f317(f298(x46071),x46072),f178(f906(f906(x46071,a895),a895)))
% 183.74/183.89 [4616]~P1(f317(f317(f162(x46161),f103(x46161)),x46162))
% 183.74/183.89 [4620]~P1(f317(f317(f319(x46201),x46202),f178(f906(x46201,a895))))
% 183.74/183.89 [4628]~P1(f317(f317(f225(f906(x46281,a895)),x46282),f178(f906(x46281,a895))))
% 183.74/183.89 [3500]E(f317(f317(f3(a899),x35001),f317(f317(f74(a899),x35001),x35002)),f2(a899))
% 183.74/183.89 [3503]E(f317(f317(f91(f906(x35031,a895)),x35032),x35032),x35032)
% 183.74/183.89 [3504]E(f317(f317(f92(f906(x35041,a895)),x35042),x35042),x35042)
% 183.74/183.89 [3532]E(f317(f317(f3(f906(x35321,a895)),x35322),x35322),f178(f906(x35321,a895)))
% 183.74/183.89 [3535]E(f317(f133(x35351,x35352),f2(a899)),f178(f906(f905(f900(x35351),f900(x35351)),a895)))
% 183.74/183.89 [3536]E(f317(f317(f74(a899),x35361),f317(a102,x35362)),f317(a102,f317(f317(f74(a899),x35361),x35362)))
% 183.74/183.89 [3547]E(f184(f317(f90(a1),x35471),f317(f90(a1),x35472)),f317(f90(a1),f317(f317(f3(a899),x35471),x35472)))
% 183.74/183.89 [3550]E(f317(f317(f30(a1),f317(f73(a1),x35501)),x35502),f317(f317(f30(a1),x35501),f317(f73(a1),x35502)))
% 183.74/183.89 [3554]E(f317(f29(a1),f317(f292(a1,x35541),x35542)),f317(a95,f317(f317(f3(a1),x35542),x35541)))
% 183.74/183.89 [3557]E(f317(f317(f74(a899),f317(a102,x35571)),x35572),f317(a102,f317(f317(f74(a899),x35571),x35572)))
% 183.74/183.89 [3560]E(f317(f73(f906(x35601,a895)),f317(f73(f906(x35601,a895)),x35602)),x35602)
% 183.74/183.89 [3572]E(f169(x35721,f317(f317(f141(f900(x35721)),f103(x35721)),x35722)),f169(x35721,x35722))
% 183.74/183.89 [3576]E(f317(f317(f74(a899),x35761),f317(f317(f75(a899),x35761),x35762)),f317(f317(f75(a899),x35761),f317(a102,x35762)))
% 183.74/183.89 [3583]E(f317(f317(a4,f317(a5,x35831)),f317(a5,x35832)),f317(a5,f317(f317(f3(a899),x35831),x35832)))
% 183.74/183.89 [3598]E(f317(f317(f75(a1),f317(f73(a1),x35981)),x35982),f317(f73(a1),f317(f317(f75(a1),x35981),x35982)))
% 183.74/183.89 [3600]E(f317(f317(f234(a1),f317(f90(a1),x36001)),x36002),f317(f90(a1),f317(f317(f234(a899),x36001),x36002)))
% 183.74/183.89 [3601]E(f317(f317(f75(a89),f317(a5,x36011)),f317(a5,x36012)),f317(a5,f317(f317(f75(a899),x36011),x36012)))
% 183.74/183.89 [3602]E(f317(f317(f74(a89),f317(a5,x36021)),f317(a5,x36022)),f317(a5,f317(f317(f74(a899),x36021),x36022)))
% 183.74/183.89 [3603]E(f317(f317(f228(a899),f317(a102,x36031)),f317(a102,x36032)),f317(a102,f317(f317(f228(a899),x36031),x36032)))
% 183.74/183.89 [3604]E(f317(f317(f223(a899),f317(a102,x36041)),f317(a102,x36042)),f317(a102,f317(f317(f223(a899),x36041),x36042)))
% 183.74/183.89 [3609]E(f317(f162(a899),f129(a899,f317(f292(a899,x36091),x36092))),f317(f292(a899,x36091),x36092))
% 183.74/183.89 [3610]E(f302(x36101,f317(f317(f299(x36101),x36102),f178(f906(x36101,a895)))),x36102)
% 183.74/183.89 [3614]E(f317(f274(x36141,x36142),f178(f906(f905(x36141,x36142),a895))),f178(f906(x36142,a895)))
% 183.74/183.89 [3615]E(f317(f254(x36151,x36152),f178(f906(f905(x36151,x36152),a895))),f178(f906(x36151,a895)))
% 183.74/183.89 [3619]E(f317(a95,f317(f317(f3(a1),x36191),x36192)),f317(f29(a1),f295(a1,x36192,x36191)))
% 183.74/183.89 [3624]E(f317(f317(f74(a899),x36241),f317(f317(f75(a899),x36242),x36241)),f317(f317(f75(a899),f317(a102,x36242)),x36241))
% 183.74/183.89 [3626]E(f317(f317(f55(x36261),f178(f906(x36261,a895))),x36262),f178(f906(f906(x36261,a895),a895)))
% 183.74/183.89 [3635]E(f317(f179(f900(a899)),f129(a899,f317(f292(a899,x36351),x36352))),f317(f317(f3(a899),x36352),x36351))
% 183.74/183.89 [3650]E(f317(f317(f91(f906(x36501,a895)),f178(f906(x36501,a895))),x36502),x36502)
% 183.74/183.89 [3651]E(f317(f317(f92(f906(x36511,a895)),f232(f906(x36511,a895))),x36512),x36512)
% 183.74/183.89 [3654]E(f317(f317(f74(a1),f317(f73(a1),x36541)),f317(f73(a1),x36542)),f317(f73(a1),f317(f317(f74(a1),x36541),x36542)))
% 183.74/183.89 [3656]E(f317(f317(f75(a1),f317(f94(a1),x36561)),f317(f94(a1),x36562)),f317(f94(a1),f317(f317(f75(a1),x36561),x36562)))
% 183.74/183.89 [3658]E(f317(f317(f75(a1),f317(f90(a1),x36581)),f317(f90(a1),x36582)),f317(f90(a1),f317(f317(f75(a899),x36581),x36582)))
% 183.74/183.89 [3659]E(f317(f317(f74(a1),f317(f94(a1),x36591)),f317(f94(a1),x36592)),f317(f94(a1),f317(f317(f74(a1),x36591),x36592)))
% 183.74/183.89 [3661]E(f317(f317(f74(a1),f317(f90(a1),x36611)),f317(f90(a1),x36612)),f317(f90(a1),f317(f317(f74(a899),x36611),x36612)))
% 183.74/183.89 [3662]E(f317(f317(f30(a1),f317(f90(a1),x36621)),f317(f90(a1),x36622)),f317(f90(a1),f317(f317(f30(a899),x36621),x36622)))
% 183.74/183.89 [3681]E(f317(f317(f8(x36811,a899),f317(f18(a899,x36811),f72(a899))),x36812),f317(f29(x36811),x36812))
% 183.74/183.89 [3686]E(f317(f73(a1),f40(a1,f317(f73(a1),x36861),x36862)),f40(a1,x36861,f317(f73(a1),x36862)))
% 183.74/183.89 [3688]E(f317(f162(a1),f168(x36881,f317(f317(f3(a1),x36882),f72(a1)))),f317(f292(a1,x36881),x36882))
% 183.74/183.89 [3693]P1(f317(f317(f224(a899),x36931),f317(f317(f74(a899),x36932),x36931)))
% 183.74/183.89 [3694]P1(f317(f317(f224(a899),x36941),f317(f317(f74(a899),x36941),x36942)))
% 183.74/183.89 [3696]E(f317(f317(f3(f906(x36961,a895)),f178(f906(x36961,a895))),x36962),f178(f906(x36961,a895)))
% 183.74/183.89 [3697]E(f317(f317(f91(f906(x36971,a895)),f232(f906(x36971,a895))),x36972),f232(f906(x36971,a895)))
% 183.74/183.89 [3698]E(f317(f317(f92(f906(x36981,a895)),f178(f906(x36981,a895))),x36982),f178(f906(x36981,a895)))
% 183.74/183.89 [3705]E(f317(f317(f242(a1,a1),x37051),f317(f73(a1),x37052)),f317(a46,f317(f317(f242(a1,a1),x37051),x37052)))
% 183.74/183.89 [3706]E(f317(f292(a1,f317(f317(f74(a1),x37061),f72(a1))),x37062),f296(a1,x37061,x37062))
% 183.74/183.89 [3717]E(f317(f317(f75(a899),x37171),f317(f317(f30(a899),x37172),x37171)),f317(f317(f3(a899),x37172),f40(a899,x37172,x37171)))
% 183.74/183.89 [3718]E(f317(f317(f75(a1),x37181),f317(f317(f30(a1),x37182),x37181)),f317(f317(f3(a1),x37182),f40(a1,x37182,x37181)))
% 183.74/183.89 [3721]E(f317(f162(a1),f168(f317(f317(f74(a1),x37211),f72(a1)),x37212)),f295(a1,x37211,x37212))
% 183.74/183.89 [3725]P1(f317(f317(f224(f906(x37251,a895)),x37252),x37252))
% 183.74/183.89 [3728]E(f317(f317(f91(f906(x37281,a895)),x37282),f317(f73(f906(x37281,a895)),x37282)),f232(f906(x37281,a895)))
% 183.74/183.89 [3729]E(f317(f317(f92(f906(x37291,a895)),x37292),f317(f73(f906(x37291,a895)),x37292)),f178(f906(x37291,a895)))
% 183.74/183.89 [3737]E(f317(f317(f3(a899),f317(f317(f3(a899),x37371),f72(a899))),x37372),f317(f317(f3(a899),x37371),f317(a102,x37372)))
% 183.74/183.89 [3743]E(f317(f317(f3(f906(x37431,a895)),f232(f906(x37431,a895))),x37432),f317(f73(f906(x37431,a895)),x37432))
% 183.74/183.89 [3744]E(f317(f317(f3(a1),f317(f94(a1),x37441)),f317(f94(a1),x37442)),f317(f94(a1),f317(f317(f74(a1),x37441),f317(f73(a1),x37442))))
% 183.74/183.89 [3757]E(f317(f162(a899),f129(a899,f317(f292(a899,x37571),f317(a102,x37572)))),f293(a899,x37571,x37572))
% 183.74/183.89 [3773]E(f317(f179(f900(f900(x37731))),f49(x37731,x37732)),f317(f317(f234(a899),f317(a102,f317(a102,f2(a899)))),f317(f179(f900(x37731)),x37732)))
% 183.74/183.89 [3791]E(f317(f317(f173(f905(x37911,x37911),a895),f2(a899)),x37912),f297(x37911,f178(f906(f905(x37911,x37911),a895))))
% 183.74/183.89 [3795]P1(f317(f127(a899),f129(a899,f317(f292(a899,x37951),x37952))))
% 183.74/183.89 [3811]E(f317(f300(a1,a899,a95),f293(a1,f317(f90(a1),x38111),f317(f90(a1),x38112))),f293(a899,x38111,x38112))
% 183.74/183.89 [3820]E(f175(a899,f2(a899),f7(a899),f317(f317(f3(a899),x38201),x38202)),f317(f317(f3(a899),x38201),f317(a102,x38202)))
% 183.74/183.89 [3821]E(f317(a95,f317(f317(f3(a1),x38211),f317(f317(f74(a1),x38212),f72(a1)))),f317(f29(a1),f296(a1,x38212,x38211)))
% 183.74/183.89 [3856]E(f317(f317(f144(a899,a899),a102),f129(a899,f317(f292(a899,x38561),x38562))),f129(a899,f317(f292(a899,f317(a102,x38561)),f317(a102,x38562))))
% 183.74/183.89 [3864]E(f317(f162(a1),f168(f317(f317(f74(a1),x38641),f72(a1)),f317(f317(f3(a1),x38642),f72(a1)))),f296(a1,x38641,x38642))
% 183.74/183.89 [3876]P1(f317(f317(f224(f906(x38761,a895)),f178(f906(x38761,a895))),x38762))
% 183.74/183.89 [3880]E(f79(x38801,f317(f317(f9(x38801,x38801,a895),a314),x38802)),x38802)
% 183.74/183.89 [3881]E(f84(x38811,f317(f317(f9(x38811,x38811,a895),a314),x38812)),x38812)
% 183.74/183.89 [3885]E(f317(f162(a899),f129(a899,f317(f292(a899,f317(a102,x38851)),f317(a102,x38852)))),f295(a899,x38851,x38852))
% 183.74/183.89 [3911]E(f317(f317(f244(x39111,x39112),f232(f906(x39111,a895))),f317(f18(f906(x39112,a895),x39111),f232(f906(x39112,a895)))),f232(f906(f905(x39111,x39112),a895)))
% 183.74/183.89 [3944]E(f317(f252(x39441),f317(f317(f10(a895,a895,x39441),a312),x39442)),f317(f73(f906(x39441,a895)),f317(f252(x39441),x39442)))
% 183.74/183.89 [3947]E(f317(f252(x39471),f317(f317(f9(x39471,x39471,a895),a314),x39472)),f317(f317(f299(x39471),x39472),f178(f906(x39471,a895))))
% 183.74/183.89 [3954]E(f317(f317(f74(a1),f317(f317(f3(a1),x39541),x39542)),f317(f317(f3(a1),x39541),x39542)),f317(f317(f3(a1),f317(f317(f74(a1),x39541),x39541)),f317(f317(f74(a1),x39542),x39542)))
% 183.74/183.89 [3955]E(f317(f317(f74(a1),f317(f317(f74(a1),x39551),x39551)),f317(f317(f74(a1),x39552),x39552)),f317(f317(f74(a1),f317(f317(f74(a1),x39551),x39552)),f317(f317(f74(a1),x39551),x39552)))
% 183.74/183.89 [3971]P1(f317(f317(f224(a899),f317(f29(x39711),f317(f162(x39711),x39712))),f317(f179(f900(x39711)),x39712)))
% 183.74/183.89 [3972]P1(f317(f317(f224(a899),f317(f179(f900(x39721)),f142(x39721,x39722))),f317(f179(f900(x39721)),x39722)))
% 183.74/183.89 [3982]E(f317(f252(x39821),f317(f317(f9(x39821,f906(x39821,a895),a895),f319(x39821)),x39822)),x39822)
% 183.74/183.89 [3996]E(f317(f317(f165(x39961),f317(f317(f3(a899),f317(f179(f900(x39961)),x39962)),f72(a899))),x39962),f104(x39961,x39962))
% 183.74/183.89 [4016]E(f175(a899,f2(a899),f317(f317(f10(a899,a899,a899),a102),f317(f228(a899),x40161)),x40162),f317(f317(f228(a899),f317(a102,x40161)),x40162))
% 183.74/183.89 [4021]E(f31(f906(x40211,a895),f317(f300(f906(f905(x40211,x40211),a895),f906(x40211,a895),f271(x40211)),x40212)),f317(f271(x40211),f31(f906(f905(x40211,x40211),a895),x40212)))
% 183.74/183.89 [4022]E(f175(a899,f317(a102,x40221),f317(f317(f10(a899,a899,a899),a102),f317(f223(a899),x40221)),x40222),f317(f317(f223(a899),f317(a102,x40221)),x40222))
% 183.74/183.89 [4024]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),f317(f70(a1),x40241)),f317(f70(a1),x40242))),f40(a1,f317(f70(a1),x40241),f317(f70(a1),x40242))),f48(x40241,x40242))
% 183.74/183.89 [4047]P1(f317(f317(f224(f906(f906(x40471,a895),a895)),x40472),f317(f298(x40471),f31(f906(x40471,a895),x40472))))
% 183.74/183.89 [4079]E(f317(f317(f35(x40791,f906(x40791,a895)),x40792),f317(f317(f9(x40791,f906(x40791,a895),f906(x40791,a895)),f299(x40791)),f178(f906(x40791,a895)))),x40792)
% 183.74/183.89 [4080]E(f317(f317(f279(x40801,x40801,x40801),f317(f276(x40801,x40801),x40802)),f297(x40801,f317(f276(x40801,x40801),x40802))),f317(f276(x40801,x40801),f317(f317(f279(x40801,x40801,x40801),x40802),f297(x40801,x40802))))
% 183.74/183.89 [4143]E(f317(f162(x41431),f317(f132(f900(x41431),f900(x41431),f124(x41431),f103(x41431)),x41432)),f317(f317(f35(f900(x41431),f906(x41431,a895)),f317(f162(f900(x41431)),x41432)),f162(x41431)))
% 183.74/183.89 [4174]E(f317(f317(f91(f906(f905(x41741,x41741),a895)),f297(x41741,f178(f906(f905(x41741,x41741),a895)))),f317(f317(f279(x41741,x41741,x41741),f297(x41741,x41742)),x41742)),f297(x41741,x41742))
% 183.74/183.89 [4210]E(f317(f317(f171(x42101,x42101),x42102),x42102),f317(f317(f144(x42101,f905(x42101,x42101)),f317(f317(f20(x42101,x42101,f905(x42101,x42101)),f242(x42101,x42101)),f7(x42101))),x42102))
% 183.74/183.89 [4321]E(f317(f132(a899,f900(x43211),f317(f9(f900(x43211),a899,a899),f317(f317(f10(a899,f906(a899,a899),f900(x43211)),f223(a899)),f179(f900(x43211)))),f2(a899)),f317(f158(f900(x43211)),x43212)),f317(f179(f900(f900(x43211))),f169(x43211,x43212)))
% 183.74/183.89 [4393]E(f317(f317(f278(f905(a899,f900(x43931)),f900(x43931)),f309(a899,f900(x43931),a230,f135(x43931,x43932))),f317(f317(f20(f900(x43931),f900(x43931),f905(a899,f900(x43931))),f317(f317(f10(a899,f906(f900(x43931),f905(a899,f900(x43931))),f900(x43931)),f242(a899,f900(x43931))),f179(f900(x43931)))),f7(f900(x43931)))),f136(x43931,x43932))
% 183.74/183.89 [4520]E(f317(f252(x45201),f317(f317(f10(f906(f906(x45201,a895),a895),a895,x45201),f81(f906(x45201,a895))),f317(f317(f10(f906(f906(x45201,a895),a895),f906(f906(x45201,a895),a895),x45201),f317(f20(f906(x45201,a895),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x45201,a895)),a315),f317(f317(f9(f906(x45201,a895),f906(f906(x45201,a895),a895),a895),f319(f906(x45201,a895))),x45202)))),f319(x45201)))),f31(f906(x45201,a895),x45202))
% 183.74/183.89 [4521]E(f317(f252(x45211),f317(f317(f10(f906(f906(x45211,a895),a895),a895,x45211),f82(f906(x45211,a895))),f317(f317(f10(f906(f906(x45211,a895),a895),f906(f906(x45211,a895),a895),x45211),f317(f20(f906(x45211,a895),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x45211,a895)),a320),f317(f317(f9(f906(x45211,a895),f906(f906(x45211,a895),a895),a895),f319(f906(x45211,a895))),x45212)))),f319(x45211)))),f32(f906(x45211,a895),x45212))
% 183.74/183.89 [4629]~P1(f317(f317(f225(a1),f317(f90(a1),x46291)),f317(f73(a1),f317(f90(a1),x46292))))
% 183.74/183.89 [3622]E(f317(f317(f3(a899),f317(f317(f74(a899),x36221),x36222)),x36222),x36221)
% 183.74/183.89 [3623]E(f317(f317(f3(a899),f317(f317(f74(a899),x36231),x36232)),x36231),x36232)
% 183.74/183.89 [3687]E(f317(f317(f74(a899),f317(f317(f3(a899),x36871),x36872)),x36872),f317(f317(f223(a899),x36871),x36872))
% 183.74/183.89 [3798]E(f317(f317(f75(a899),f317(f317(f30(a899),x37981),x37982)),x37982),f317(f317(f3(a899),x37981),f40(a899,x37981,x37982)))
% 183.74/183.89 [3825]E(f317(f162(a899),f129(a899,f317(f292(a899,f317(a102,x38251)),x38252))),f296(a899,x38251,x38252))
% 183.74/183.89 [3833]E(f317(f90(a1),f206(f317(a95,f317(f70(a1),x38331)),f317(a95,f317(f70(a1),x38332)))),f317(f317(a207,x38331),x38332))
% 183.74/183.89 [3835]E(f317(f317(f91(f906(x38351,a895)),f317(f73(f906(x38351,a895)),x38352)),x38352),f232(f906(x38351,a895)))
% 183.74/183.89 [3836]E(f317(f317(f92(f906(x38361,a895)),f317(f73(f906(x38361,a895)),x38362)),x38362),f178(f906(x38361,a895)))
% 183.74/183.89 [3852]P1(f317(f317(f224(a899),f317(f317(f3(a899),x38521),x38522)),x38521))
% 183.74/183.89 [3853]P1(f317(f317(f224(a899),f317(f317(f30(a899),x38531),x38532)),x38531))
% 183.74/183.89 [3877]P1(f317(f317(f225(a899),x38771),f317(a102,f317(f317(f74(a899),x38772),x38771))))
% 183.74/183.89 [3878]P1(f317(f317(f225(a899),x38781),f317(a102,f317(f317(f74(a899),x38781),x38782))))
% 183.74/183.89 [3895]E(f317(f317(f75(a899),f317(a95,f317(f70(a1),x38951))),f317(a95,f317(f70(a1),x38952))),f317(a95,f317(f70(a1),f317(f317(f75(a1),x38951),x38952))))
% 183.74/183.89 [3907]P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x39071)),x39072)))
% 183.74/183.89 [3975]E(f317(f275(f900(x39751),f900(x39751),f148(x39751,x39752)),f317(f317(f299(f900(x39751)),f103(x39751)),f178(f906(f900(x39751),a895)))),f317(f317(f299(f900(x39751)),f103(x39751)),f178(f906(f900(x39751),a895))))
% 183.74/183.89 [3994]E(f317(f317(f91(f906(f905(x39941,x39941),a895)),f297(x39941,x39942)),f297(x39941,f178(f906(f905(x39941,x39941),a895)))),f297(x39941,x39942))
% 183.74/183.89 [4006]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),x40061),x40061))),f317(f94(a1),f317(f317(f74(a1),x40062),x40062))),f317(f317(f30(a1),f317(f94(a1),x40061)),f317(f94(a1),x40062)))
% 183.74/183.89 [4069]E(f317(f317(f234(a1),x40691),f317(f94(a899),f317(f317(f74(a1),x40692),x40692))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x40691),f317(f94(a899),x40692))),f317(f317(f20(a1,a1,a1),f75(a1)),f7(a1))))
% 183.74/183.89 [4075]E(f317(f252(f906(x40751,a895)),f317(f317(f9(f906(x40751,a895),f906(x40751,a895),a895),f224(f906(x40751,a895))),x40752)),f317(f298(x40751),x40752))
% 183.74/183.89 [4091]E(f317(f317(f144(a1,a899),a95),f317(f317(f124(a1),f317(f317(f144(a899,a1),f90(a1)),x40911)),f317(f317(f144(a899,a1),f90(a1)),x40912))),f317(f317(f124(a899),x40911),x40912))
% 183.74/183.89 [4121]E(f317(f300(a1,a1,f317(f317(f9(a1,a1,a1),f74(a1)),x41211)),f317(f292(a1,f2(a1)),f317(f317(f3(a1),x41212),x41211))),f317(f292(a1,x41211),x41212))
% 183.74/183.89 [4123]P53(x41231,f317(f317(f3(f906(f905(x41231,x41231),a895)),x41232),f297(x41231,f178(f906(f905(x41231,x41231),a895)))))
% 183.74/183.89 [4141]E(f317(f179(f900(x41411)),f317(f132(f900(x41411),f900(x41411),f124(x41411),f103(x41411)),x41412)),f317(f155(a899),f317(f317(f144(f900(x41411),a899),f179(f900(x41411))),x41412)))
% 183.74/183.89 [4145]P52(x41451,f232(f906(x41451,a895)),f317(f317(f91(f906(f905(x41451,x41451),a895)),x41452),f297(x41451,f178(f906(f905(x41451,x41451),a895)))))
% 183.74/183.89 [4190]E(f175(a899,f2(a899),f317(f317(f10(a899,a899,a899),a102),f317(f317(f9(a899,a899,a899),f228(a899)),x41901)),x41902),f317(f317(f228(a899),x41902),f317(a102,x41901)))
% 183.74/183.89 [4193]E(f175(a899,f317(a102,x41931),f317(f317(f10(a899,a899,a899),a102),f317(f317(f9(a899,a899,a899),f223(a899)),x41931)),x41932),f317(f317(f223(a899),x41932),f317(a102,x41931)))
% 183.74/183.89 [4196]E(f317(f300(x41961,f900(x41961),f317(f317(f9(x41961,f900(x41961),f900(x41961)),f141(x41961)),f103(x41961))),x41962),f164(x41961,x41962,f317(f317(f299(f900(x41961)),f103(x41961)),f178(f906(f900(x41961),a895)))))
% 183.74/183.89 [4198]E(f317(f317(f91(f906(f905(x41981,x41981),a895)),f317(f317(f279(x41981,x41981,x41981),x41982),f297(x41981,x41982))),f297(x41981,f178(f906(f905(x41981,x41981),a895)))),f297(x41981,x41982))
% 183.74/183.89 [4205]P1(f317(f317(f224(f906(f905(x42051,x42051),a895)),f253(x42051,x42052)),f317(f317(f244(x42051,x42051),x42052),f317(f18(f906(x42051,a895),x42051),x42052))))
% 183.74/183.89 [4208]E(f317(f300(a1,a899,a95),f317(f317(f91(f906(a1,a895)),f317(f300(a899,a1,f90(a1)),x42081)),f317(f300(a899,a1,f90(a1)),x42082))),f317(f317(f91(f906(a899,a895)),x42081),x42082))
% 183.74/183.89 [4209]E(f317(f300(a1,a899,a95),f317(f317(f92(f906(a1,a895)),f317(f300(a899,a1,f90(a1)),x42091)),f317(f300(a899,a1,f90(a1)),x42092))),f317(f317(f92(f906(a899,a895)),x42091),x42092))
% 183.74/183.89 [4212]E(f317(f252(x42121),f317(f317(f10(a895,a895,x42121),a312),f317(f317(f9(x42121,f906(x42121,a895),a895),f319(x42121)),x42122))),f317(f73(f906(x42121,a895)),x42122))
% 183.74/183.89 [4239]E(f317(f132(f900(x42391),f900(x42391),f124(x42391),f103(x42391)),f317(f317(f144(f900(x42391),f900(x42391)),f158(x42391)),f317(f158(f900(x42391)),x42392))),f317(f158(x42391),f317(f132(f900(x42391),f900(x42391),f124(x42391),f103(x42391)),x42392)))
% 183.74/183.89 [4265]E(f317(f317(f35(a899,f906(f905(x42651,x42651),a895)),f232(f906(a899,a895))),f317(f317(f9(a899,f906(f905(x42651,x42651),a895),f906(f905(x42651,x42651),a895)),f173(f905(x42651,x42651),a895)),x42652)),f297(x42651,x42652))
% 183.74/183.89 [4283]E(f79(x42831,f317(f317(f10(f906(x42831,a895),a895,x42831),f317(a314,x42832)),f317(f317(f9(x42831,f906(x42831,a895),f906(x42831,a895)),f299(x42831)),f178(f906(x42831,a895))))),f302(x42831,x42832))
% 183.74/183.89 [4291]E(f317(f179(f900(x42911)),f142(x42911,f317(f132(f900(x42911),f900(x42911),f124(x42911),f103(x42911)),x42912))),f317(f29(x42911),f317(f317(f35(f900(x42911),f906(x42911,a895)),f317(f162(f900(x42911)),x42912)),f162(x42911))))
% 183.74/183.89 [4305]E(f317(f317(f91(f906(f905(x43051,x43051),a895)),x43052),f317(f317(f279(x43051,x43051,x43051),f317(f317(f279(x43051,x43051,x43051),x43052),f297(x43051,x43052))),x43052)),f317(f317(f279(x43051,x43051,x43051),x43052),f297(x43051,x43052)))
% 183.74/183.89 [4329]P1(f317(f317(f224(f906(f905(x43291,x43291),a895)),f317(f317(f279(x43291,x43291,x43291),x43292),f297(x43291,x43292))),f317(f317(f244(x43291,x43291),f317(f271(x43291),x43292)),f317(f18(f906(x43291,a895),x43291),f317(f271(x43291),x43292)))))
% 183.74/183.89 [4370]E(f317(f252(f900(x43701)),f317(f317(f9(f900(x43701),f906(x43701,a895),a895),f317(f317(f10(f906(x43701,a895),f906(f906(x43701,a895),a895),f900(x43701)),f224(f906(x43701,a895))),f162(x43701))),x43702)),f151(x43701,x43702))
% 183.74/183.89 [4381]E(f317(f146(f900(x43811),x43811,f103(x43811),f317(f317(f10(f900(x43811),f906(f900(x43811),f900(x43811)),x43811),f317(f9(f900(x43811),f900(x43811),f900(x43811)),f124(x43811))),f317(f317(f9(x43811,f900(x43811),f900(x43811)),f141(x43811)),f103(x43811)))),x43812),f317(f157(x43811),x43812))
% 183.74/183.89 [4421]P24(f906(x44211,x44212),f906(f905(x44211,x44212),a895),f317(f317(f10(f906(f905(x44211,x44212),a895),f906(f905(x44211,x44212),a895),f906(x44211,x44212)),f252(f905(x44211,x44212))),f317(f317(f10(f906(x44211,f906(x44212,a895)),f906(f905(x44211,x44212),a895),f906(x44211,x44212)),f247(x44211,x44212,a895)),f317(f10(x44212,f906(x44212,a895),x44211),f317(f9(x44212,x44212,a895),a314)))),f232(f906(f906(x44211,x44212),a895)))
% 183.74/183.89 [4426]E(f40(a1,f317(f94(a1),f317(f317(f74(a1),x44261),x44261)),f317(f94(a1),f317(f317(f74(a1),x44262),x44262))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f94(a1),x44261),f317(f94(a1),x44262))))
% 183.74/183.89 [4470]E(f317(f317(f35(x44701,f906(f905(x44701,x44701),a895)),x44702),f317(f317(f9(x44701,f906(f905(x44701,x44701),a895),f906(f905(x44701,x44701),a895)),f317(f317(f10(f905(x44701,x44701),f906(f906(f905(x44701,x44701),a895),f906(f905(x44701,x44701),a895)),x44701),f299(f905(x44701,x44701))),f317(f317(f20(x44701,x44701,f905(x44701,x44701)),f242(x44701,x44701)),f7(x44701)))),f178(f906(f905(x44701,x44701),a895)))),f253(x44701,x44702))
% 183.74/183.89 [4478]E(f192(x44781,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f905(a1,a1),a1,x44781,f241(a1,a1)),f202(x44781)),x44782))),f317(f317(f67(f905(a1,a1),a1,x44781,f246(a1,a1)),f202(x44781)),x44782))),f217(x44781,x44782))
% 183.74/183.89 [4559]E(f317(f252(f906(x45591,a895)),f317(f317(f10(f906(f906(x45591,a895),a895),a895,f906(x45591,a895)),f81(f906(x45591,a895))),f317(f317(f9(f906(x45591,a895),f906(f906(x45591,a895),a895),f906(f906(x45591,a895),a895)),f317(f317(f10(f906(f906(x45591,a895),f906(a895,a895)),f906(f906(f906(x45591,a895),a895),f906(f906(x45591,a895),a895)),f906(x45591,a895)),f20(f906(x45591,a895),a895,a895)),f317(f317(f10(f906(f906(x45591,a895),a895),f906(f906(x45591,a895),f906(a895,a895)),f906(x45591,a895)),f317(f10(a895,f906(a895,a895),f906(x45591,a895)),a315)),f317(f317(f9(f906(x45591,a895),f906(f906(x45591,a895),f906(x45591,a895)),f906(f906(x45591,a895),a895)),f317(f317(f10(f906(f906(x45591,a895),a895),f906(f906(f906(x45591,a895),f906(x45591,a895)),f906(f906(x45591,a895),a895)),f906(x45591,a895)),f10(f906(x45591,a895),a895,f906(x45591,a895))),a314)),f73(f906(x45591,a895)))))),f317(f317(f10(f906(f906(x45591,a895),a895),a895,f906(x45591,a895)),f317(f319(f906(x45591,a895)),x45592)),f298(x45591))))),f317(f298(x45591),f317(f73(f906(x45591,a895)),x45592)))
% 183.74/183.89 [4627]~E(f317(f317(f74(a1),x46271),x46271),f317(f317(f3(a1),f317(f317(f74(a1),x46272),x46272)),a87))
% 183.74/183.89 [4631]~P1(f317(f317(f225(a899),f317(f317(f74(a899),x46311),x46312)),x46312))
% 183.74/183.89 [4632]~P1(f317(f317(f225(a899),f317(f317(f74(a899),x46321),x46322)),x46321))
% 183.74/183.89 [3912]E(f317(f317(f3(a899),x39121),f317(f317(f75(a899),f317(f317(f30(a899),x39121),x39122)),x39122)),f40(a899,x39121,x39122))
% 183.74/183.89 [3913]E(f317(f317(f3(a1),x39131),f317(f317(f75(a1),f317(f317(f30(a1),x39131),x39132)),x39132)),f40(a1,x39131,x39132))
% 183.74/183.89 [3945]E(f317(f317(f144(a899,x39451),f317(f154(x39451),x39452)),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(x39451)),x39452)))),x39452)
% 183.74/183.89 [4002]E(f317(f275(x40021,x40021,f297(x40021,f178(f906(f905(x40021,x40021),a895)))),x40022),x40022)
% 183.74/183.89 [4126]E(f297(x41261,f317(f317(f3(f906(f905(x41261,x41261),a895)),x41262),f297(x41261,f178(f906(f905(x41261,x41261),a895))))),f297(x41261,x41262))
% 183.74/183.89 [4127]E(f297(x41271,f317(f317(f91(f906(f905(x41271,x41271),a895)),x41272),f297(x41271,f178(f906(f905(x41271,x41271),a895))))),f297(x41271,x41272))
% 183.74/183.89 [4177]E(f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x41771),x41771)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x41772),x41772)),a87)),f317(f317(f74(a1),f317(f317(f3(a1),x41771),x41772)),f317(f317(f3(a1),x41771),x41772)))
% 183.74/183.89 [4217]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42171),x42172)),f317(f317(f74(a1),x42171),x42172))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x42171),x42171)),f317(f317(f3(a1),f317(f317(f74(a1),x42172),x42172)),a87)))
% 183.74/183.89 [4242]E(f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42421),x42421)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x42422),x42422)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),x42421),f317(f317(f3(a1),x42422),a87))),f317(f317(f74(a1),x42421),f317(f317(f3(a1),x42422),a87))))
% 183.74/183.89 [4253]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),x42531),x42532)),f317(f317(f3(a1),x42531),x42532))),a87),f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42531),x42531)),a87)),f317(f317(f74(a1),x42532),x42532)))
% 183.74/183.89 [4254]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42541),x42542)),f317(f317(f74(a1),x42541),x42542))),a87),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42541),x42541)),a87)),f317(f317(f74(a1),x42542),x42542)))
% 183.74/183.89 [4302]E(f317(f90(a1),f317(f317(f30(a899),f317(f317(f75(a899),f317(a95,f317(f70(a1),x43021))),f317(a95,f317(f70(a1),x43022)))),f206(f317(a95,f317(f70(a1),x43021)),f317(a95,f317(f70(a1),x43022))))),f208(x43021,x43022))
% 183.74/183.89 [4347]E(f317(f317(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43471,f905(a89,a89))),f257(f317(a5,f317(f179(f900(x43471)),x43472)))),f317(f317(f10(x43471,f906(f905(a89,a89),f905(x43471,f905(a89,a89))),a89),f242(x43471,f905(a89,a89))),f317(f317(f10(a899,x43471,a89),f317(f154(x43471),x43472)),a22))),f265(x43471,x43472))
% 183.74/183.89 [4427]E(f317(f132(a899,f900(x44271),f317(f9(f900(x44271),a899,a899),f317(f317(f10(a899,f906(a899,a899),f900(x44271)),f223(a899)),f179(f900(x44271)))),f2(a899)),f317(f158(f900(x44271)),f169(x44271,x44272))),f317(f179(f900(f900(x44271))),f317(f126(f900(x44271),f317(f317(f10(a895,a895,f900(x44271)),a312),f317(f317(f9(f900(x44271),f900(x44271),a895),a314),f103(x44271)))),x44272)))
% 183.74/183.89 [4433]E(f317(f317(f35(a899,f906(x44331,a895)),f232(f906(a899,a895))),f317(f317(f9(a899,f906(a899,f906(x44331,a895)),f906(x44331,a895)),f317(f317(f10(f906(a899,a895),f906(f906(a899,f906(x44331,a895)),f906(x44331,a895)),a899),f35(a899,f906(x44331,a895))),f292(a899,f2(a899)))),x44332)),f317(f317(f35(a899,f906(x44331,a895)),f232(f906(a899,a895))),x44332))
% 183.74/183.89 [4455]P1(f317(f28(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),x44551)),f317(f317(f9(a899,a899,a895),f225(a899)),x44552)))))
% 183.74/183.89 [4567]E(f317(f252(f905(f900(x45671),f900(x45671))),f317(f247(f900(x45671),f900(x45671),a895),f317(f317(f20(f900(x45671),f906(f900(x45671),a895),f906(f900(x45671),a895)),f317(f317(f10(f906(f900(x45671),f906(a895,a895)),f906(f906(f900(x45671),a895),f906(f900(x45671),a895)),f900(x45671)),f20(f900(x45671),a895,a895)),f317(f317(f10(f906(f900(x45671),a895),f906(f900(x45671),f906(a895,a895)),f900(x45671)),f317(f10(a895,f906(a895,a895),f900(x45671)),a316)),f317(f317(f9(f900(x45671),f906(f900(x45671),a899),f906(f900(x45671),a895)),f317(f317(f10(f906(a899,a895),f906(f906(f900(x45671),a899),f906(f900(x45671),a895)),f900(x45671)),f10(a899,a895,f900(x45671))),f317(f317(f10(a899,f906(a899,a895),f900(x45671)),f225(a899)),f179(f900(x45671))))),f179(f900(x45671)))))),f317(f317(f20(f900(x45671),f906(f900(x45671),a895),f906(f900(x45671),a895)),f317(f317(f10(f906(f900(x45671),f906(a895,a895)),f906(f906(f900(x45671),a895),f906(f900(x45671),a895)),f900(x45671)),f20(f900(x45671),a895,a895)),f317(f317(f10(f906(f900(x45671),a895),f906(f900(x45671),f906(a895,a895)),f900(x45671)),f317(f10(a895,f906(a895,a895),f900(x45671)),a315)),f317(f317(f9(f900(x45671),f906(f900(x45671),a899),f906(f900(x45671),a895)),f317(f317(f10(f906(a899,a895),f906(f906(f900(x45671),a899),f906(f900(x45671),a895)),f900(x45671)),f10(a899,a895,f900(x45671))),f317(f317(f10(a899,f906(a899,a895),f900(x45671)),a314),f179(f900(x45671))))),f179(f900(x45671)))))),f317(f317(f9(f900(x45671),f906(f905(f900(x45671),f900(x45671)),a895),f906(f900(x45671),a895)),f317(f317(f10(f906(f900(x45671),f906(f906(f905(f900(x45671),f900(x45671)),a895),a895)),f906(f906(f905(f900(x45671),f900(x45671)),a895),f906(f900(x45671),a895)),f900(x45671)),f9(f900(x45671),f906(f905(f900(x45671),f900(x45671)),a895),a895)),f317(f317(f10(f906(f900(x45671),f905(f900(x45671),f900(x45671))),f906(f900(x45671),f906(f906(f905(f900(x45671),f900(x45671)),a895),a895)),f900(x45671)),f317(f10(f905(f900(x45671),f900(x45671)),f906(f906(f905(f900(x45671),f900(x45671)),a895),a895),f900(x45671)),f319(f905(f900(x45671),f900(x45671))))),f242(f900(x45671),f900(x45671))))),f135(x45671,x45672)))))),f136(x45671,x45672))
% 183.74/183.89 [4245]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42451),x42452)),f317(f317(f75(a1),x42451),x42452))),x42452),f317(f317(f75(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42451),x42451)),a87)),x42452))
% 183.74/183.89 [4346]E(f317(a95,f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x43461),x43462)),f178(f906(f905(a899,a899),a895)))))),f317(f317(f3(a899),x43461),x43462))
% 183.74/183.89 [4350]E(f317(f317(f279(x43501,x43501,x43501),f317(f317(f91(f906(f905(x43501,x43501),a895)),x43502),f297(x43501,f178(f906(f905(x43501,x43501),a895))))),f297(x43501,f317(f317(f91(f906(f905(x43501,x43501),a895)),x43502),f297(x43501,f178(f906(f905(x43501,x43501),a895)))))),f297(x43501,x43502))
% 183.74/183.89 [4387]E(f258(x43871,f317(f126(f905(a89,x43871),f317(f247(a89,x43871,a895),f317(f317(f10(a895,f906(x43871,a895),a89),f18(a895,x43871)),f317(f225(a89),f2(a89))))),x43872)),f258(x43871,x43872))
% 183.74/183.89 [4388]E(f256(x43881,f317(f126(f905(a89,x43881),f317(f247(a89,x43881,a895),f317(f317(f10(a895,f906(x43881,a895),a89),f18(a895,x43881)),f317(f225(a89),f2(a89))))),x43882)),f256(x43881,x43882))
% 183.74/183.89 [4390]E(f317(f73(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x43901),x43902)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x43902),x43901)),f178(f906(f905(a899,a899),a895))))))
% 183.74/183.89 [4446]E(f317(f317(f278(f900(a899),x44461),f135(a899,a230)),f317(f317(f9(x44461,f900(f906(x44461,a899)),f900(a899)),f317(f317(f10(f906(f906(x44461,a899),a899),f906(f900(f906(x44461,a899)),f900(a899)),x44461),f144(f906(x44461,a899),a899)),f317(f9(f906(x44461,a899),x44461,a899),f7(f906(x44461,a899))))),x44462)),f143(x44461,x44462))
% 183.74/183.89 [4467]E(f317(f317(f80(a1,a899),f317(f94(a1),f317(f317(f74(a1),x44671),a87))),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),f317(f317(f10(a899,a899,a1),a102),f317(f317(f10(a899,a899,a1),f317(f228(a899),x44672)),a95)))),f317(f317(f228(a899),f317(a102,x44672)),f317(f94(a899),x44671)))
% 183.74/183.89 [4468]E(f317(f317(f80(a1,a899),f317(f94(a1),f317(f317(f74(a1),x44681),a87))),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f317(a102,x44682))),f317(f317(f10(a899,a899,a1),a102),f317(f317(f10(a899,a899,a1),f317(f223(a899),x44682)),a95)))),f317(f317(f223(a899),f317(a102,x44682)),f317(f94(a899),x44681)))
% 183.74/183.89 [4488]E(f317(f132(f900(x44881),f900(x44881),f124(x44881),f103(x44881)),f317(f317(f144(f900(x44881),f900(x44881)),f146(f900(x44881),x44881,f103(x44881),f317(f317(f10(f900(x44881),f906(f900(x44881),f900(x44881)),x44881),f18(f900(x44881),f900(x44881))),f317(f317(f9(x44881,f900(x44881),f900(x44881)),f141(x44881)),f103(x44881))))),x44882)),f317(f317(f144(f900(x44881),x44881),f131(x44881)),f317(f126(f900(x44881),f317(f317(f10(a895,a895,f900(x44881)),a312),f317(f317(f9(f900(x44881),f900(x44881),a895),a314),f103(x44881)))),x44882)))
% 183.74/183.89 [4550]E(f317(f247(a1,a1,a895),f317(f317(f9(a1,f906(a1,a895),f906(a1,a895)),f317(f317(f10(f906(a1,f906(a895,a895)),f906(f906(a1,a895),f906(a1,a895)),a1),f20(a1,a895,a895)),f317(f317(f10(f906(a1,a895),f906(a1,f906(a895,a895)),a1),f317(f10(a895,f906(a895,a895),a1),a315)),f317(f317(f10(f906(a1,a1),f906(a1,a895),a1),f317(f10(a1,a895,a1),f317(a314,x45501))),f317(f317(f10(a1,f906(a1,a1),a1),f74(a1)),f317(f75(a1),x45502)))))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),f317(a320,f317(f317(f225(a1),f2(a1)),x45502))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f9(a1,a1,a895),f225(a1)),x45502))))),f317(f317(f10(a895,a895,a1),f317(a320,f317(a312,f317(f317(f225(a1),f2(a1)),x45502)))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f225(a1),x45502))),f317(f317(f9(a1,a1,a895),f224(a1)),f2(a1))))))),f44(x45501,x45502))
% 183.74/183.89 [4553]E(f317(f252(x45531),f317(f317(f10(f906(a899,a895),a895,x45531),f81(a899)),f317(f317(f9(x45531,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),x45531),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),x45531),f317(f10(a895,f906(a895,a895),a899),a315)),f317(f317(f9(x45531,f906(a899,x45531),f906(a899,a895)),f317(f317(f10(f906(x45531,a895),f906(f906(a899,x45531),f906(a899,a895)),x45531),f10(x45531,a895,a899)),a314)),f317(f154(x45531),x45532))))),f317(f317(f9(a899,a899,a895),f225(a899)),f317(f179(f900(x45531)),x45532))))),f317(f162(x45531),x45532))
% 183.74/183.89 [4360]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x43601),a87)),x43602)),f317(f317(f3(a1),f317(f317(f74(a1),x43601),a87)),x43602))),a87),f317(f317(f3(a1),f317(f317(f74(a1),x43601),x43601)),f317(f317(f3(a1),f317(f317(f74(a1),x43602),x43602)),a87)))
% 183.74/183.89 [4483]E(f317(f132(f900(f900(x44831)),f900(f900(x44831)),f124(f900(x44831)),f103(f900(x44831))),f317(f317(f144(f900(x44831),f900(f900(x44831))),f146(f900(f900(x44831)),x44831,f103(f900(x44831)),f317(f18(f906(f900(x44831),f900(f900(x44831))),x44831),f317(f317(f9(f900(x44831),f900(f900(x44831)),f900(f900(x44831))),f141(f900(x44831))),f103(f900(x44831)))))),x44832)),f317(f317(f144(f900(x44831),f900(x44831)),f161(x44831)),f317(f126(f900(x44831),f317(f317(f10(a895,a895,f900(x44831)),a312),f317(f317(f9(f900(x44831),f900(x44831),a895),a314),f103(x44831)))),x44832)))
% 183.74/183.89 [4493]E(f317(f317(f80(a1,a899),f317(f94(a1),f317(f317(f74(a1),x44931),a87))),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),f317(f317(f10(a899,a899,a1),a102),f317(f317(f9(a1,a899,a899),f317(f317(f10(a899,f906(a899,a899),a1),f228(a899)),a95)),x44932)))),f317(f317(f228(a899),f317(f94(a899),x44931)),f317(a102,x44932)))
% 183.74/183.89 [4494]E(f317(f317(f80(a1,a899),f317(f94(a1),f317(f317(f74(a1),x44941),a87))),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f317(a102,x44942))),f317(f317(f10(a899,a899,a1),a102),f317(f317(f9(a1,a899,a899),f317(f317(f10(a899,f906(a899,a899),a1),f223(a899)),a95)),x44942)))),f317(f317(f223(a899),f317(f94(a899),x44941)),f317(a102,x44942)))
% 183.74/183.89 [4482]E(f317(f247(x44821,x44821,a895),f317(f317(f20(x44821,a895,f906(x44821,a895)),f317(f317(f10(f906(x44821,f906(a895,a895)),f906(a895,f906(x44821,a895)),x44821),f9(x44821,a895,a895)),f317(f317(f10(f906(x44821,a895),f906(x44821,f906(a895,a895)),x44821),f317(f10(a895,f906(a895,a895),x44821),a315)),a314))),x44822)),f253(x44821,x44822))
% 183.74/183.89 [4527]E(f317(f317(f30(a899),x45271),f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45272)),f317(f317(f30(a899),x45271),f317(a102,f317(a102,f317(a102,x45272)))))
% 183.74/183.89 [4528]E(f40(a899,x45281,f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45282)),f40(a899,x45281,f317(a102,f317(a102,f317(a102,x45282)))))
% 183.74/183.89 [4529]E(f40(a899,f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45291),x45292),f40(a899,f317(a102,f317(a102,f317(a102,x45291))),x45292))
% 183.74/183.89 [4541]E(f113(f317(x45411,f317(f317(f75(a89),f317(f94(a89),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45412))),f317(f190(x45411),x45412))
% 183.74/183.89 [4542]E(f317(f317(f30(a899),f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45421)),x45422),f317(f317(f30(a899),f317(a102,f317(a102,f317(a102,x45421)))),x45422))
% 183.74/183.89 [4594]~E(f116(x45941,x45942,x45943),f109(x45941))
% 183.74/183.89 [3350]E(f317(f182(x33501,x33502),x33503),f111(x33501,x33502))
% 183.74/183.89 [3369]E(f317(f189(x33691,x33692),x33693),f317(f119(x33691),x33692))
% 183.74/183.89 [3446]E(f317(f317(f144(x34461,x34462),x34463),f103(x34461)),f103(x34462))
% 183.74/183.89 [3486]E(f317(f174(x34861,x34862,x34863),f2(a899)),x34862)
% 183.74/183.89 [3488]E(f317(f317(f171(x34881,x34882),x34883),f103(x34882)),f103(f905(x34881,x34882)))
% 183.74/183.89 [3501]E(f317(f179(f900(x35011)),f159(x35011,x35012,x35013)),x35012)
% 183.74/183.89 [3520]E(f79(x35201,f56(x35201,x35202,x35203)),f317(f57(x35201,x35202),x35203))
% 183.74/183.89 [3524]E(f233(x35241,x35242,f233(x35242,x35241,x35243)),x35243)
% 183.74/183.89 [3544]E(f317(f158(x35441),f159(x35441,x35442,x35443)),f159(x35441,x35442,x35443))
% 183.74/183.89 [3569]E(f130(x35691,x35692,f142(x35691,x35693)),f142(x35691,f130(x35691,x35692,x35693)))
% 183.74/183.89 [3588]E(f317(f241(f900(x35881),f900(x35881)),f156(x35881,x35882,x35883)),f317(f126(x35881,x35882),x35883))
% 183.74/183.89 [3631]E(f317(f317(f141(x36311),x36312),f159(x36311,x36313,x36312)),f159(x36311,f317(a102,x36313),x36312))
% 183.74/183.89 [3663]E(f19(x36631,x36632,x36633,f2(a89)),x36632)
% 183.74/183.89 [3664]E(f175(x36641,x36642,x36643,f2(a899)),x36642)
% 183.74/183.89 [3665]E(f21(x36651,x36652,x36653,f2(a89)),x36652)
% 183.74/183.89 [3672]E(f153(x36721,x36722,x36723,f103(x36721)),f103(x36722))
% 183.74/183.89 [3673]E(f120(x36731,x36732,x36733,f109(x36731)),f109(x36732))
% 183.74/183.89 [3679]E(f317(f317(f154(x36791),f317(f317(f141(x36791),x36792),x36793)),f2(a899)),x36792)
% 183.74/183.89 [3707]E(f54(x37071,x37072,f103(x37071),x37073),f103(f905(x37071,x37072)))
% 183.74/183.89 [3727]P24(x37271,x37272,x37273,f178(f906(x37271,a895)))
% 183.74/183.89 [3829]E(f255(x38291,x38292,x38293),f317(f242(f906(a89,f906(a895,f902(f901(x38291)))),f905(a89,a89)),f36(x38291)))
% 183.74/183.89 [3886]E(f317(f67(x38861,x38862,x38861,x38863),f25(x38861)),x38863)
% 183.74/183.89 [4061]P1(f317(f317(f319(f905(x40611,x40611)),f317(f317(f242(x40611,x40611),x40612),x40612)),f297(x40611,x40613)))
% 183.74/183.89 [4637]~P1(f317(f317(f319(f905(f900(x46371),f900(x46371))),f317(f317(f242(f900(x46371),f900(x46371)),x46372),f103(x46371))),f135(x46371,x46373)))
% 183.74/183.89 [4638]~P1(f317(f317(f319(f905(f900(x46381),f900(x46381))),f317(f317(f242(f900(x46381),f900(x46381)),x46382),f103(x46381))),f137(x46381,x46383)))
% 183.74/183.89 [4639]~P1(f317(f317(f319(f905(f900(x46391),f900(x46391))),f317(f317(f242(f900(x46391),f900(x46391)),x46392),f103(x46391))),f147(x46391,x46393)))
% 183.74/183.90 [4640]~P1(f317(f317(f319(f905(f900(x46401),f900(x46401))),f317(f317(f242(f900(x46401),f900(x46401)),f103(x46401)),x46402)),f135(x46401,x46403)))
% 183.74/183.90 [4641]~P1(f317(f317(f319(f905(f900(x46411),f900(x46411))),f317(f317(f242(f900(x46411),f900(x46411)),f103(x46411)),x46412)),f147(x46411,x46413)))
% 183.74/183.90 [3421]E(f317(f317(f191(x34211),x34212),x34213),f192(x34211,f205(x34212,x34213)))
% 183.74/183.90 [3475]E(f317(f276(x34751,x34752),f317(f276(x34752,x34751),x34753)),x34753)
% 183.74/183.90 [3496]E(f317(f317(f171(x34961,x34962),f103(x34961)),x34963),f103(f905(x34961,x34962)))
% 183.74/183.90 [3499]E(f166(x34991,x34992,f317(f272(a899),x34993)),f317(f317(f165(x34991),x34993),x34992))
% 183.74/183.90 [3517]E(f142(x35171,f317(f126(x35171,x35172),x35173)),f317(f126(x35171,x35172),f142(x35171,x35173)))
% 183.74/183.90 [3518]E(f317(f274(x35181,x35182),f317(f276(x35182,x35181),x35183)),f317(f254(x35182,x35181),x35183))
% 183.74/183.90 [3519]E(f317(f254(x35191,x35192),f317(f276(x35192,x35191),x35193)),f317(f274(x35192,x35191),x35193))
% 183.74/183.90 [3537]E(f317(f126(x35371,x35372),f317(f158(x35371),x35373)),f317(f158(x35371),f317(f126(x35371,x35372),x35373)))
% 183.74/183.90 [3549]E(f317(f317(f128(x35491),x35492),f317(f161(x35491),x35493)),f317(f317(f128(x35491),f317(a102,x35492)),x35493))
% 183.74/183.90 [3565]E(f317(f300(x35651,x35652,x35653),f178(f906(x35651,a895))),f178(f906(x35652,a895)))
% 183.74/183.90 [3566]E(f317(f275(x35661,x35662,x35663),f178(f906(x35661,a895))),f178(f906(x35662,a895)))
% 183.74/183.90 [3567]E(f317(f301(x35671,x35672,x35673),f178(f906(x35672,a895))),f178(f906(x35671,a895)))
% 183.74/183.90 [3568]E(f317(f301(x35681,x35682,x35683),f232(f906(x35682,a895))),f232(f906(x35681,a895)))
% 183.74/183.90 [3594]E(f110(x35941,f116(f901(x35941),x35942,x35943)),f106(x35941,x35942,f110(x35941,x35943)))
% 183.74/183.90 [3596]E(f317(f317(f299(x35961),x35962),f317(f162(x35961),x35963)),f317(f162(x35961),f130(x35961,x35962,x35963)))
% 183.74/183.90 [3683]E(f317(f300(f905(x36831,x36832),x36832,f246(x36831,x36832)),x36833),f317(f274(x36831,x36832),x36833))
% 183.74/183.90 [3684]E(f317(f300(f905(x36841,x36842),x36841,f241(x36841,x36842)),x36843),f317(f254(x36841,x36842),x36843))
% 183.74/183.90 [3699]E(f317(f162(x36991),f159(x36991,f317(a102,x36992),x36993)),f317(f317(f299(x36991),x36993),f178(f906(x36991,a895))))
% 183.74/183.90 [3756]E(f317(f317(f242(x37561,x37562),f317(f241(x37561,x37562),x37563)),f317(f246(x37561,x37562),x37563)),x37563)
% 183.74/183.90 [3763]E(f317(f179(f901(x37631)),f116(x37631,x37632,x37633)),f317(f317(f74(a899),f317(f179(f901(x37631)),x37633)),f317(a102,f2(a899))))
% 183.74/183.90 [3765]E(f317(f317(f247(x37651,x37652,x37651),f18(x37651,x37652)),x37653),f317(f241(x37651,x37652),x37653))
% 183.74/183.90 [3891]E(f317(f67(x38911,x38911,x38912,f25(x38911)),x38913),x38913)
% 183.74/183.90 [3898]E(f317(f317(f124(x38981),f159(x38981,x38982,x38983)),f317(f317(f141(x38981),x38983),f103(x38981))),f317(f317(f141(x38981),x38983),f159(x38981,x38982,x38983)))
% 183.74/183.90 [4070]P1(f317(f317(f224(f906(x40701,a895)),f317(f162(x40701),f317(f126(x40701,x40702),x40703))),f317(f162(x40701),x40703)))
% 183.74/183.90 [4112]P1(f317(f317(f224(f906(x41121,a895)),f317(f162(x41121),f317(f317(f165(x41121),x41122),x41123))),f317(f162(x41121),x41123)))
% 183.74/183.90 [4113]P1(f317(f317(f224(f906(x41131,a895)),f317(f162(x41131),f317(f317(f128(x41131),x41132),x41133))),f317(f162(x41131),x41133)))
% 183.74/183.90 [4117]P1(f317(f317(f224(f906(x41171,a895)),f317(f162(x41171),f166(x41171,x41172,x41173))),f317(f162(x41171),x41172)))
% 183.74/183.90 [4118]P1(f317(f317(f224(f906(x41181,a895)),f317(f162(x41181),f160(x41181,x41182,x41183))),f317(f162(x41181),x41183)))
% 183.74/183.90 [4139]P24(f905(x41391,x41392),f905(x41392,x41391),f317(f247(x41391,x41392,f905(x41392,x41391)),f317(f9(x41392,x41391,f905(x41392,x41391)),f242(x41392,x41391))),x41393)
% 183.74/183.90 [4150]E(f317(f317(f317(f173(f900(x41501),f900(x41501)),f40(a899,x41502,f317(f179(f900(x41501)),x41503))),f157(x41501)),x41503),f317(f317(f317(f173(f900(x41501),f900(x41501)),x41502),f157(x41501)),x41503))
% 183.74/183.90 [4194]P1(f317(f317(f319(f905(f900(x41941),f900(x41941))),f317(f317(f242(f900(x41941),f900(x41941)),x41942),x41942)),f148(x41941,f297(x41941,x41943))))
% 183.74/183.90 [4333]E(f79(f905(x43331,x43332),f317(f317(f20(f905(x43331,x43332),x43332,a895),f317(f317(f10(x43331,f906(x43332,a895),f905(x43331,x43332)),x43333),f241(x43331,x43332))),f246(x43331,x43332))),f79(f905(x43331,x43332),f317(f247(x43331,x43332,a895),x43333)))
% 183.74/183.90 [4334]E(f84(f905(x43341,x43342),f317(f317(f20(f905(x43341,x43342),x43342,a895),f317(f317(f10(x43341,f906(x43342,a895),f905(x43341,x43342)),x43343),f241(x43341,x43342))),f246(x43341,x43342))),f84(f905(x43341,x43342),f317(f247(x43341,x43342,a895),x43343)))
% 183.74/183.90 [4367]E(f317(f317(f278(f905(a899,x43671),x43671),f309(a899,x43671,a230,x43672)),f317(f317(f20(x43671,x43671,f905(a899,x43671)),f317(f317(f10(a899,f906(x43671,f905(a899,x43671)),x43671),f242(a899,x43671)),x43673)),f7(x43671))),f311(x43671,x43673,x43672))
% 183.74/183.90 [4429]E(f317(f248(x44291,x44291,x44292,x44292,f7(x44291),f7(x44292)),x44293),x44293)
% 183.74/183.90 [4502]E(f317(f132(f900(f900(x45021)),f900(f900(x45021)),f124(f900(x45021)),f103(f900(x45021))),f317(f317(f144(f900(x45021),f900(f900(x45021))),f317(f317(f9(f900(x45021),f900(x45021),f900(f900(x45021))),f317(f317(f10(f906(x45021,f900(x45021)),f906(f900(x45021),f900(f900(x45021))),f900(x45021)),f144(x45021,f900(x45021))),f317(f9(x45021,f900(x45021),f900(x45021)),f141(x45021)))),x45022)),f50(x45021,x45023,x45022))),f50(x45021,f317(a102,x45023),x45022))
% 183.74/183.90 [4558]E(f213(a899,f905(x45581,f901(x45581)),f2(a899),f317(f247(x45581,f901(x45581),a899),f317(f317(f9(x45581,a899,f906(f901(x45581),a899)),f317(f317(f10(f906(f901(x45581),f906(a899,a899)),f906(a899,f906(f901(x45581),a899)),x45581),f9(f901(x45581),a899,a899)),f317(f317(f10(f906(f901(x45581),a899),f906(f901(x45581),f906(a899,a899)),x45581),f317(f10(a899,f906(a899,a899),f901(x45581)),f74(a899))),f317(f317(f9(x45581,f906(f901(x45581),a899),f906(f901(x45581),a899)),f317(f317(f10(f906(a899,a899),f906(f906(f901(x45581),a899),f906(f901(x45581),a899)),x45581),f10(a899,a899,f901(x45581))),f317(f317(f10(a899,f906(a899,a899),x45581),f74(a899)),x45582))),f115(x45581,x45582))))),f72(a899))),f317(f125(x45581),x45583)),f317(f115(x45581,x45582),x45583))
% 183.74/183.90 [4566]E(f317(f317(f80(a1,x45661),f208(f317(f317(f67(f905(a1,a1),a1,x45661,f246(a1,a1)),f202(x45661)),x45662),f317(f317(f67(f905(a1,a1),a1,x45661,f246(a1,a1)),f202(x45661)),x45663))),f317(f317(f20(a1,a1,x45661),f317(f317(f10(a1,f906(a1,x45661),a1),f191(x45661)),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f906(a1,a1),a1),f74(a1)),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45661,f241(a1,a1)),f202(x45661)),x45662))),f317(f317(f9(a1,a1,a1),f30(a1)),f317(f317(f67(f905(a1,a1),a1,x45661,f246(a1,a1)),f202(x45661)),x45662))))),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45661,f241(a1,a1)),f202(x45661)),x45663))),f317(f317(f9(a1,a1,a1),f30(a1)),f317(f317(f67(f905(a1,a1),a1,x45661,f246(a1,a1)),f202(x45661)),x45663)))))),f7(a1))),f220(x45661,x45662,x45663))
% 183.74/183.90 [4589]~E(f317(f317(f141(x45891),x45892),x45893),x45893)
% 183.74/183.90 [4592]~E(f317(f317(f141(x45921),x45922),x45923),f103(x45921))
% 183.74/183.90 [4598]~E(f317(f317(f299(x45981),x45982),x45983),f178(f906(x45981,a895)))
% 183.74/183.90 [4618]~E(f317(f300(x46181,f906(x46181,a895),x46182),x46183),f317(f298(x46181),x46183))
% 183.74/183.90 [3480]E(f317(f317(f149(x34801,f103(x34801)),x34802),x34803),f103(x34801))
% 183.74/183.90 [3481]E(f317(f131(x34811),f317(f317(f141(x34811),x34812),x34813)),x34812)
% 183.74/183.90 [3482]E(f317(f161(x34821),f317(f317(f141(x34821),x34822),x34823)),x34823)
% 183.74/183.90 [3523]E(f317(f317(f128(x35231),f72(a899)),f317(f317(f141(x35231),x35232),x35233)),x35233)
% 183.74/183.90 [3556]E(f104(x35561,f317(f317(f128(x35561),x35562),x35563)),f317(f317(f128(x35561),x35562),f104(x35561,x35563)))
% 183.74/183.90 [3558]E(f317(f317(f149(x35581,x35582),x35583),f317(f317(f154(x35581),x35582),x35583)),x35582)
% 183.74/183.90 [3578]E(f317(f317(f299(x35781),x35782),f317(f317(f299(x35781),x35782),x35783)),f317(f317(f299(x35781),x35782),x35783))
% 183.74/183.90 [3591]E(f317(f317(f299(x35911),x35912),f317(f162(x35911),x35913)),f317(f162(x35911),f317(f317(f141(x35911),x35912),x35913)))
% 183.74/183.90 [3593]E(f317(f317(f128(x35931),x35932),f317(f161(x35931),x35933)),f317(f161(x35931),f317(f317(f128(x35931),x35932),x35933)))
% 183.74/183.90 [3605]E(f317(f317(f165(x36051),f72(a899)),f317(f317(f141(x36051),x36052),x36053)),f317(f317(f141(x36051),x36052),f103(x36051)))
% 183.74/183.90 [3648]E(f317(f57(x36481,x36482),f317(f317(f299(x36481),x36483),f178(f906(x36481,a895)))),x36483)
% 183.74/183.90 [3689]E(f317(f317(f74(a899),x36891),f317(f317(f74(a899),x36892),x36893)),f317(f317(f74(a899),x36892),f317(f317(f74(a899),x36891),x36893)))
% 183.74/183.90 [3690]E(f317(f317(f74(a1),x36901),f317(f317(f74(a1),x36902),x36903)),f317(f317(f74(a1),x36902),f317(f317(f74(a1),x36901),x36903)))
% 183.74/183.90 [3695]E(f317(f317(f244(x36951,x36952),f178(f906(x36951,a895))),x36953),f178(f906(f905(x36951,x36952),a895)))
% 183.74/183.90 [3719]E(f317(f317(f91(f906(x37191,a895)),x37192),x37193),f317(f317(f91(f906(x37191,a895)),x37193),x37192))
% 183.74/183.90 [3720]E(f317(f317(f92(f906(x37201,a895)),x37202),x37203),f317(f317(f92(f906(x37201,a895)),x37203),x37202))
% 183.74/183.90 [3722]E(f317(f317(f124(x37221),x37222),f317(f317(f141(x37221),x37223),f103(x37221))),f317(f157(x37221),f317(f317(f141(x37221),x37223),x37222)))
% 183.74/183.90 [3723]E(f317(f317(f124(x37231),f317(f158(x37231),x37232)),f317(f158(x37231),x37233)),f317(f158(x37231),f317(f317(f124(x37231),x37233),x37232)))
% 183.74/183.90 [3733]E(f317(f161(x37331),f317(f317(f165(x37331),f317(a102,x37332)),x37333)),f317(f317(f165(x37331),x37332),f317(f161(x37331),x37333)))
% 183.74/183.90 [3741]P1(f317(f317(f319(x37411),x37412),f317(f317(f299(x37411),x37412),x37413)))
% 183.74/183.90 [3745]E(f317(f317(f34(x37451,f906(x37452,a895)),f178(f906(x37451,a895))),x37453),f232(f906(x37452,a895)))
% 183.74/183.90 [3748]E(f317(f275(x37481,x37481,f253(x37481,x37482)),x37483),f317(f317(f92(f906(x37481,a895)),x37482),x37483))
% 183.74/183.90 [3762]E(f317(f179(f900(x37621)),f317(f317(f141(x37621),x37622),x37623)),f317(f317(f74(a899),f317(f179(f900(x37621)),x37623)),f317(a102,f2(a899))))
% 183.74/183.90 [3767]E(f104(x37671,f317(f317(f124(x37671),x37672),f317(f317(f141(x37671),x37673),f103(x37671)))),x37672)
% 183.74/183.90 [3768]E(f134(x37681,f317(f317(f124(x37681),x37682),f317(f317(f141(x37681),x37683),f103(x37681)))),x37683)
% 183.74/183.90 [3776]E(f317(f317(f124(x37761),f317(f317(f165(x37761),x37762),x37763)),f317(f317(f128(x37761),x37762),x37763)),x37763)
% 183.74/183.90 [3785]E(f317(f317(f3(a899),f317(f317(f74(a899),x37851),x37852)),f317(f317(f74(a899),x37853),x37852)),f317(f317(f3(a899),x37851),x37853))
% 183.74/183.90 [3786]E(f317(f317(f3(a899),f317(f317(f74(a899),x37861),x37862)),f317(f317(f74(a899),x37861),x37863)),f317(f317(f3(a899),x37862),x37863))
% 183.74/183.90 [3792]E(f317(f317(f124(x37921),f317(f158(x37921),x37922)),f317(f317(f141(x37921),x37923),f103(x37921))),f317(f158(x37921),f317(f317(f141(x37921),x37923),x37922)))
% 183.74/183.90 [3794]E(f317(f317(f74(a899),f317(f179(f900(x37941)),x37942)),f317(f179(f900(x37941)),x37943)),f317(f179(f900(x37941)),f317(f317(f124(x37941),x37942),x37943)))
% 183.74/183.90 [3797]E(f317(f317(f74(a899),f317(f179(f900(x37971)),x37972)),f317(f179(f900(x37971)),x37973)),f317(f179(f900(x37971)),f163(x37971,x37972,x37973)))
% 183.74/183.90 [3804]E(f317(f317(f91(f906(x38041,a895)),f317(f162(x38041),x38042)),f317(f162(x38041),x38043)),f317(f162(x38041),f317(f317(f124(x38041),x38042),x38043)))
% 183.74/183.90 [3805]E(f40(a899,f317(f317(f75(a899),x38051),x38052),f317(f317(f75(a899),x38051),x38053)),f317(f317(f75(a899),x38051),f40(a899,x38052,x38053)))
% 183.74/183.90 [3817]E(f317(f317(f165(x38171),f317(f317(f3(a899),x38172),f72(a899))),f317(f161(x38171),x38173)),f317(f161(x38171),f317(f317(f165(x38171),x38172),x38173)))
% 183.74/183.90 [3822]E(f317(f317(f92(f906(x38221,a895)),x38222),f317(f73(f906(x38221,a895)),x38223)),f317(f317(f3(f906(x38221,a895)),x38222),x38223))
% 183.74/183.90 [3823]E(f317(f317(f3(f906(x38231,a895)),x38232),f317(f73(f906(x38231,a895)),x38233)),f317(f317(f92(f906(x38231,a895)),x38232),x38233))
% 183.74/183.90 [3845]E(f317(f317(f244(x38451,x38452),x38453),f317(f18(f906(x38452,a895),x38451),f178(f906(x38452,a895)))),f178(f906(f905(x38451,x38452),a895)))
% 183.74/183.90 [3847]E(f317(f317(f3(a899),f317(f317(f75(a899),x38471),x38472)),f317(f317(f75(a899),x38471),x38473)),f317(f317(f75(a899),x38471),f317(f317(f3(a899),x38472),x38473)))
% 183.74/183.90 [3848]E(f317(f317(f74(a899),f317(f317(f75(a899),x38481),x38482)),f317(f317(f75(a899),x38481),x38483)),f317(f317(f75(a899),x38481),f317(f317(f74(a899),x38482),x38483)))
% 183.74/183.90 [3849]E(f317(f317(f3(a1),f317(f317(f75(a1),x38491),x38492)),f317(f317(f75(a1),x38491),x38493)),f317(f317(f75(a1),x38491),f317(f317(f3(a1),x38492),x38493)))
% 183.74/183.90 [3850]E(f317(f317(f74(a1),f317(f317(f75(a1),x38501),x38502)),f317(f317(f75(a1),x38501),x38503)),f317(f317(f75(a1),x38501),f317(f317(f74(a1),x38502),x38503)))
% 183.74/183.90 [3851]E(f317(f317(f75(a1),f317(f317(f234(a1),x38511),x38512)),f317(f317(f234(a1),x38511),x38513)),f317(f317(f234(a1),x38511),f317(f317(f74(a899),x38512),x38513)))
% 183.74/183.90 [3865]E(f317(f317(f35(x38651,f906(x38652,a895)),x38653),f317(f18(f906(x38652,a895),x38651),f178(f906(x38652,a895)))),f178(f906(x38652,a895)))
% 183.74/183.90 [3867]E(f40(a899,f317(f317(f75(a899),x38671),x38672),f317(f317(f75(a899),x38673),x38672)),f317(f317(f75(a899),f40(a899,x38671,x38673)),x38672))
% 183.74/183.90 [3872]E(f40(a1,f317(f317(f3(a1),x38721),f40(a1,x38722,x38723)),x38723),f40(a1,f317(f317(f3(a1),x38721),x38722),x38723))
% 183.74/183.90 [3873]E(f40(a1,f317(f317(f75(a1),x38731),f40(a1,x38732,x38733)),x38733),f40(a1,f317(f317(f75(a1),x38731),x38732),x38733))
% 183.74/183.90 [3874]P1(f317(f317(f224(f906(x38741,a895)),x38742),f317(f317(f299(x38741),x38743),x38742)))
% 183.74/183.90 [3949]E(f317(f317(f34(f906(x39491,a895),f906(x39491,a895)),x39492),f317(f91(f906(x39491,a895)),x39493)),f317(f317(f91(f906(x39491,a895)),x39493),f32(f906(x39491,a895),x39492)))
% 183.74/183.90 [3950]E(f317(f317(f35(f906(x39501,a895),f906(x39501,a895)),x39502),f317(f92(f906(x39501,a895)),x39503)),f317(f317(f92(f906(x39501,a895)),x39503),f31(f906(x39501,a895),x39502)))
% 183.74/183.90 [3962]E(f317(f162(x39621),f317(f317(f317(f173(f900(x39621),f900(x39621)),x39622),f157(x39621)),x39623)),f317(f162(x39621),x39623))
% 183.74/183.90 [3966]E(f317(f317(f165(x39661),f317(f179(f900(x39661)),f167(x39661,x39662,x39663))),x39663),f167(x39661,x39662,x39663))
% 183.74/183.90 [3970]E(f317(f179(f900(x39701)),f317(f317(f317(f173(f900(x39701),f900(x39701)),x39702),f157(x39701)),x39703)),f317(f179(f900(x39701)),x39703))
% 183.74/183.90 [3973]E(f317(f317(f247(x39731,x39732,x39732),f317(f18(f906(x39732,x39732),x39731),f7(x39732))),x39733),f317(f246(x39731,x39732),x39733))
% 183.74/183.90 [3979]E(f40(a1,f317(f317(f3(a1),f40(a1,x39791,x39792)),x39793),x39792),f40(a1,f317(f317(f3(a1),x39791),x39793),x39792))
% 183.74/183.90 [3980]E(f40(a1,f317(f317(f234(a1),f40(a1,x39801,x39802)),x39803),x39802),f40(a1,f317(f317(f234(a1),x39801),x39803),x39802))
% 183.74/183.90 [3983]E(f317(f317(f35(f906(f905(x39831,x39832),a895),f906(x39832,a895)),x39833),f274(x39831,x39832)),f317(f274(x39831,x39832),f31(f906(f905(x39831,x39832),a895),x39833)))
% 183.74/183.90 [3984]E(f317(f317(f35(f906(f905(x39841,x39842),a895),f906(x39841,a895)),x39843),f254(x39841,x39842)),f317(f254(x39841,x39842),f31(f906(f905(x39841,x39842),a895),x39843)))
% 183.74/183.90 [4007]E(f317(f67(x40071,x40071,x40071,x40072),f317(f317(f173(x40071,x40071),x40073),x40072)),f317(f317(f173(x40071,x40071),f317(a102,x40073)),x40072))
% 183.74/183.90 [4025]E(f317(f317(f128(x40251),f317(f317(f3(a899),f317(f179(f900(x40251)),x40252)),x40253)),f317(f158(x40251),x40252)),f317(f158(x40251),f317(f317(f165(x40251),x40253),x40252)))
% 183.74/183.90 [4026]E(f317(f317(f165(x40261),f317(f317(f3(a899),f317(f179(f900(x40261)),x40262)),x40263)),f317(f158(x40261),x40262)),f317(f158(x40261),f317(f317(f128(x40261),x40263),x40262)))
% 183.74/183.90 [4028]E(f317(f317(f74(a899),f317(f155(a899),f317(f317(f144(x40281,a899),x40282),x40283))),f317(f179(f900(x40281)),x40283)),f145(x40281,x40282,x40283))
% 183.74/183.90 [4048]E(f317(f157(x40481),f317(f317(f317(f173(f900(x40481),f900(x40481)),x40482),f157(x40481)),x40483)),f317(f317(f317(f173(f900(x40481),f900(x40481)),f317(a102,x40482)),f157(x40481)),x40483))
% 183.74/183.90 [4062]P1(f317(f317(f224(a899),f317(f179(f900(x40621)),f317(f126(x40621,x40622),x40623))),f317(f179(f900(x40621)),x40623)))
% 183.74/183.90 [4078]E(f317(f317(f91(f906(f906(x40781,a895),a895)),f317(f298(x40781),x40782)),f317(f300(f906(x40781,a895),f906(x40781,a895),f317(f299(x40781),x40783)),f317(f298(x40781),x40782))),f317(f298(x40781),f317(f317(f299(x40781),x40783),x40782)))
% 183.74/183.90 [4109]P1(f317(f317(f224(a899),f317(f179(f900(x41091)),f167(x41091,x41092,x41093))),f317(f179(f900(x41091)),x41093)))
% 183.74/183.90 [4116]E(f317(f254(x41161,x41162),f317(f252(f905(x41161,x41162)),f317(f247(x41161,x41162,a895),x41163))),f317(f252(x41161),f317(f317(f10(f906(x41162,a895),a895,x41161),f81(x41162)),x41163)))
% 183.74/183.90 [4128]E(f317(f300(a899,a899,f317(f317(f9(a899,a899,a899),f74(a899)),x41281)),f293(a899,x41282,x41283)),f293(a899,f317(f317(f74(a899),x41282),x41281),f317(f317(f74(a899),x41283),x41281)))
% 183.74/183.90 [4142]E(f317(f300(a899,a899,f317(f317(f9(a899,a899,a899),f74(a899)),x41421)),f317(f292(a899,x41422),x41423)),f317(f292(a899,f317(f317(f74(a899),x41422),x41421)),f317(f317(f74(a899),x41423),x41421)))
% 183.74/183.90 [4160]E(f317(f317(f171(x41601,x41602),f317(f317(f144(f905(x41601,x41602),x41601),f241(x41601,x41602)),x41603)),f317(f317(f144(f905(x41601,x41602),x41602),f246(x41601,x41602)),x41603)),x41603)
% 183.74/183.90 [4165]E(f317(f317(f74(a899),f317(f317(f75(a899),x41651),f40(a899,f317(f317(f30(a899),x41652),x41651),x41653))),f40(a899,x41652,x41651)),f40(a899,x41652,f317(f317(f75(a899),x41651),x41653)))
% 183.74/183.90 [4178]E(f317(f317(f124(x41781),x41782),f317(f132(f900(x41781),f900(x41781),f124(x41781),f103(x41781)),x41783)),f317(f132(f900(x41781),f900(x41781),f124(x41781),x41782),x41783))
% 183.74/183.90 [4199]P1(f317(f317(f319(f905(x41991,x41991)),f317(f317(f242(x41991,x41991),x41992),x41992)),f317(f317(f173(f905(x41991,x41991),a895),f2(a899)),x41993)))
% 183.74/183.90 [4204]E(f317(f252(x42041),f317(f317(f10(f906(x42042,a895),a895,x42041),f81(x42042)),f317(f9(x42042,x42041,a895),x42043))),f317(f274(x42042,x42041),f317(f252(f905(x42042,x42041)),f317(f247(x42042,x42041,a895),x42043))))
% 183.74/183.90 [4221]E(f317(f317(f91(f906(x42211,a895)),f317(f317(f35(a899,f906(x42211,a895)),f293(a899,f72(a899),x42212)),x42213)),f317(x42213,f2(a899))),f317(f317(f35(a899,f906(x42211,a895)),f317(f291(a899),x42212)),x42213))
% 183.74/183.90 [4236]E(f317(f132(f900(x42361),f900(x42361),f124(x42361),f103(x42361)),f317(f317(f144(f900(x42361),f900(x42361)),f126(x42361,x42362)),x42363)),f317(f126(x42361,x42362),f317(f132(f900(x42361),f900(x42361),f124(x42361),f103(x42361)),x42363)))
% 183.74/183.90 [4240]E(f317(f246(f900(x42401),f900(x42401)),f156(x42401,x42402,x42403)),f317(f126(x42401,f317(f67(a895,a895,x42401,a312),x42402)),x42403))
% 183.74/183.90 [4285]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42851),f317(f317(f30(a1),x42852),x42851))),f40(a1,x42852,x42851))),x42853),f317(f317(f74(a1),x42852),x42853))
% 183.74/183.90 [4322]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f30(a1),x43221),x43222)),x43222)),f40(a1,x43221,x43222))),x43223),f317(f317(f74(a1),x43221),x43223))
% 183.74/183.90 [4348]E(f79(f905(x43481,x43482),f317(f247(x43481,x43482,a895),f317(f317(f10(f906(x43482,f905(x43481,x43482)),f906(x43482,a895),x43481),f317(f10(f905(x43481,x43482),a895,x43482),x43483)),f242(x43481,x43482)))),f79(f905(x43481,x43482),x43483))
% 183.74/183.90 [4349]E(f84(f905(x43491,x43492),f317(f247(x43491,x43492,a895),f317(f317(f10(f906(x43492,f905(x43491,x43492)),f906(x43492,a895),x43491),f317(f10(f905(x43491,x43492),a895,x43492),x43493)),f242(x43491,x43492)))),f84(f905(x43491,x43492),x43493))
% 183.74/183.90 [4376]P1(f317(f317(f224(f906(x43761,a895)),f31(f906(x43761,a895),f317(f317(f92(f906(f906(x43761,a895),a895)),x43762),x43763))),f317(f317(f92(f906(x43761,a895)),f31(f906(x43761,a895),x43762)),f31(f906(x43761,a895),x43763))))
% 183.74/183.90 [4377]E(f317(f158(x43771),f317(f317(f317(f173(f900(x43771),f900(x43771)),f317(f317(f3(a899),f317(f179(f900(x43771)),x43772)),f40(a899,x43773,f317(f179(f900(x43771)),x43772)))),f157(x43771)),x43772)),f317(f317(f317(f173(f900(x43771),f900(x43771)),x43773),f157(x43771)),f317(f158(x43771),x43772)))
% 183.74/183.90 [4414]P1(f317(f317(f224(a899),f317(f179(f900(x44141)),f317(f317(f128(x44141),f317(f179(f900(x44141)),f167(x44141,x44142,x44143))),x44143))),f317(f179(f900(x44141)),x44143)))
% 183.74/183.90 [4630]~P1(f317(f56(x46301,x46302,f178(f906(x46301,a895))),x46303))
% 183.74/183.90 [4636]~P1(f317(f317(f319(f905(x46361,x46361)),f317(f317(f242(x46361,x46361),x46362),x46363)),f143(x46361,f103(f906(x46361,a899)))))
% 183.74/183.90 [3734]E(f317(f179(f900(x37341)),f317(f317(f165(x37341),x37342),x37343)),f317(f317(f228(a899),f317(f179(f900(x37341)),x37343)),x37342))
% 183.74/183.90 [3735]E(f317(f179(f900(x37351)),f317(f317(f128(x37351),x37352),x37353)),f317(f317(f3(a899),f317(f179(f900(x37351)),x37353)),x37352))
% 183.74/183.90 [3761]E(f317(f179(f900(f900(x37611))),f50(x37611,x37612,x37613)),f317(f317(f234(a899),f317(f179(f900(x37611)),x37613)),x37612))
% 183.74/183.90 [3778]E(f317(f317(f30(a899),f317(f317(f30(a899),x37781),x37782)),x37783),f317(f317(f30(a899),x37781),f317(f317(f75(a899),x37782),x37783)))
% 183.74/183.90 [3779]E(f317(f317(f3(a899),f317(f317(f3(a899),x37791),x37792)),x37793),f317(f317(f3(a899),x37791),f317(f317(f74(a899),x37792),x37793)))
% 183.74/183.90 [3780]E(f317(f317(f75(a899),f317(f317(f75(a899),x37801),x37802)),x37803),f317(f317(f75(a899),x37801),f317(f317(f75(a899),x37802),x37803)))
% 183.74/183.90 [3781]E(f317(f317(f75(a1),f317(f317(f75(a1),x37811),x37812)),x37813),f317(f317(f75(a1),x37811),f317(f317(f75(a1),x37812),x37813)))
% 183.74/183.90 [3782]E(f317(f317(f74(a899),f317(f317(f74(a899),x37821),x37822)),x37823),f317(f317(f74(a899),x37821),f317(f317(f74(a899),x37822),x37823)))
% 183.74/183.90 [3783]E(f317(f317(f74(a1),f317(f317(f74(a1),x37831),x37832)),x37833),f317(f317(f74(a1),x37831),f317(f317(f74(a1),x37832),x37833)))
% 183.74/183.90 [3784]E(f317(f317(f234(a1),f317(f317(f234(a1),x37841),x37842)),x37843),f317(f317(f234(a1),x37841),f317(f317(f75(a899),x37842),x37843)))
% 183.74/183.90 [3803]E(f152(x38031,f317(f317(f141(f906(x38031,a895)),x38032),x38033)),f164(x38031,x38032,f152(x38031,x38033)))
% 183.74/183.90 [3846]E(f317(f317(f3(a899),f317(f317(f3(a899),x38461),x38462)),x38463),f317(f317(f3(a899),f317(f317(f3(a899),x38461),x38463)),x38462))
% 183.74/183.90 [3854]E(f317(f317(f92(f906(x38541,a895)),x38542),f317(f317(f3(f906(x38541,a895)),x38543),x38542)),f178(f906(x38541,a895)))
% 183.74/183.90 [3858]E(f317(f317(f144(a899,x38581),f317(f18(x38581,a899),x38582)),f129(a899,f317(f292(a899,f2(a899)),x38583))),f159(x38581,x38583,x38582))
% 183.74/183.90 [3896]E(f31(f906(x38961,a895),f317(f317(f299(f906(x38961,a895)),x38962),x38963)),f317(f317(f91(f906(x38961,a895)),x38962),f31(f906(x38961,a895),x38963)))
% 183.74/183.90 [3897]E(f32(f906(x38971,a895),f317(f317(f299(f906(x38971,a895)),x38972),x38973)),f317(f317(f92(f906(x38971,a895)),x38972),f32(f906(x38971,a895),x38973)))
% 183.74/183.90 [3899]E(f159(x38991,f317(f179(f900(x38991)),f317(f126(x38991,f317(a314,x38992)),x38993)),x38992),f317(f126(x38991,f317(a314,x38992)),x38993))
% 183.74/183.90 [3901]E(f317(f317(f3(a899),f317(f317(f75(a899),x39011),x39012)),f317(f317(f75(a899),x39013),x39012)),f317(f317(f75(a899),f317(f317(f3(a899),x39011),x39013)),x39012))
% 183.74/183.90 [3902]E(f317(f317(f74(a899),f317(f317(f75(a899),x39021),x39022)),f317(f317(f75(a899),x39023),x39022)),f317(f317(f75(a899),f317(f317(f74(a899),x39021),x39023)),x39022))
% 183.74/183.90 [3903]E(f317(f317(f3(a1),f317(f317(f75(a1),x39031),x39032)),f317(f317(f75(a1),x39033),x39032)),f317(f317(f75(a1),f317(f317(f3(a1),x39031),x39033)),x39032))
% 183.74/183.90 [3904]E(f317(f317(f74(a1),f317(f317(f75(a1),x39041),x39042)),f317(f317(f75(a1),x39043),x39042)),f317(f317(f75(a1),f317(f317(f74(a1),x39041),x39043)),x39042))
% 183.74/183.90 [3906]E(f317(f317(f228(a899),f317(f317(f3(a899),x39061),x39062)),f317(f317(f3(a899),x39063),x39062)),f317(f317(f3(a899),f317(f317(f228(a899),x39061),x39063)),x39062))
% 183.74/183.90 [3926]E(f317(f317(f92(f906(f900(x39261),a895)),f150(x39261,x39262)),f150(x39261,x39263)),f150(x39261,f317(f317(f92(f906(x39261,a895)),x39262),x39263)))
% 183.74/183.90 [3929]E(f317(f317(f91(f906(x39291,a895)),x39292),f317(f317(f3(f906(x39291,a895)),x39293),x39292)),f317(f317(f91(f906(x39291,a895)),x39292),x39293))
% 183.74/183.90 [3930]E(f317(f317(f91(f906(x39301,a895)),x39302),f317(f317(f91(f906(x39301,a895)),x39302),x39303)),f317(f317(f91(f906(x39301,a895)),x39302),x39303))
% 183.74/183.90 [3931]E(f317(f317(f92(f906(x39311,a895)),x39312),f317(f317(f92(f906(x39311,a895)),x39312),x39313)),f317(f317(f92(f906(x39311,a895)),x39312),x39313))
% 183.74/183.90 [3943]E(f317(f317(f279(x39431,x39432,x39432),x39433),f297(x39432,f178(f906(f905(x39432,x39432),a895)))),x39433)
% 183.74/183.90 [3946]E(f317(f317(f91(f906(x39461,a895)),f317(f317(f299(x39461),x39462),f178(f906(x39461,a895)))),x39463),f317(f317(f299(x39461),x39462),x39463))
% 183.74/183.90 [3965]E(f317(f317(f3(a899),f317(f317(f3(a899),f317(a102,x39651)),x39652)),f317(a102,x39653)),f317(f317(f3(a899),f317(f317(f3(a899),x39651),x39652)),x39653))
% 183.74/183.90 [3992]E(f317(f317(f92(f906(f906(x39921,a895),a895)),f317(f298(x39921),x39922)),f317(f298(x39921),x39923)),f317(f298(x39921),f317(f317(f92(f906(x39921,a895)),x39922),x39923)))
% 183.74/183.90 [3995]E(f317(f317(f91(f906(x39951,a895)),f317(f73(f906(x39951,a895)),x39952)),x39953),f317(f73(f906(x39951,a895)),f317(f317(f3(f906(x39951,a895)),x39952),x39953)))
% 183.74/183.90 [4004]E(f317(f317(f299(x40041),x40042),f317(f317(f3(f906(x40041,a895)),x40043),f317(f317(f299(x40041),x40042),f178(f906(x40041,a895))))),f317(f317(f299(x40041),x40042),x40043))
% 183.74/183.90 [4014]P1(f317(f317(f224(f906(x40141,a895)),x40142),f317(f317(f91(f906(x40141,a895)),x40143),x40142)))
% 183.74/183.90 [4015]P1(f317(f317(f224(f906(x40151,a895)),x40152),f317(f317(f91(f906(x40151,a895)),x40152),x40153)))
% 183.74/183.90 [4019]E(f317(f317(f92(f906(x40191,a895)),f317(f73(f906(x40191,a895)),x40192)),f317(f73(f906(x40191,a895)),x40193)),f317(f73(f906(x40191,a895)),f317(f317(f91(f906(x40191,a895)),x40192),x40193)))
% 183.74/183.90 [4020]E(f317(f317(f91(f906(x40201,a895)),f317(f73(f906(x40201,a895)),x40202)),f317(f73(f906(x40201,a895)),x40203)),f317(f73(f906(x40201,a895)),f317(f317(f92(f906(x40201,a895)),x40202),x40203)))
% 183.74/183.90 [4034]P1(f317(f317(f224(f906(x40341,a895)),f317(f162(x40341),x40342)),f317(f162(x40341),f317(f317(f141(x40341),x40343),x40342))))
% 183.74/183.90 [4046]E(f317(f317(f91(f906(x40461,a895)),f317(f317(f3(f906(x40461,a895)),x40462),x40463)),f317(f317(f92(f906(x40461,a895)),x40462),x40463)),x40462)
% 183.74/183.90 [4096]E(f317(f317(f8(x40961,a1),f317(f317(f10(a899,a1,x40961),f90(a1)),x40962)),x40963),f317(f90(a1),f317(f317(f8(x40961,a899),x40962),x40963)))
% 183.74/183.90 [4097]E(f317(f317(f11(x40971,a1),f317(f317(f10(a899,a1,x40971),f90(a1)),x40972)),x40973),f317(f90(a1),f317(f317(f11(x40971,a899),x40972),x40973)))
% 183.74/183.90 [4144]E(f317(f317(f124(x41441),f167(x41441,x41442,x41443)),f317(f317(f128(x41441),f317(f179(f900(x41441)),f167(x41441,x41442,x41443))),x41443)),x41443)
% 183.74/183.90 [4148]E(f317(f73(f906(f905(x41481,x41482),a895)),f317(f317(f244(x41481,x41482),x41483),f317(f18(f906(x41482,a895),x41481),f232(f906(x41482,a895))))),f317(f317(f244(x41481,x41482),f317(f73(f906(x41481,a895)),x41483)),f317(f18(f906(x41482,a895),x41481),f232(f906(x41482,a895)))))
% 183.74/183.90 [4149]E(f317(f73(f906(f905(x41491,x41492),a895)),f317(f317(f244(x41491,x41492),f232(f906(x41491,a895))),f317(f18(f906(x41492,a895),x41491),x41493))),f317(f317(f244(x41491,x41492),f232(f906(x41491,a895))),f317(f18(f906(x41492,a895),x41491),f317(f73(f906(x41492,a895)),x41493))))
% 183.74/183.90 [4200]E(f317(f317(f35(f906(x42001,a895),f906(x42001,a895)),x42002),f317(f317(f9(f906(x42001,a895),f906(x42001,a895),f906(x42001,a895)),f92(f906(x42001,a895))),x42003)),f317(f317(f92(f906(x42001,a895)),f31(f906(x42001,a895),x42002)),x42003))
% 183.74/183.90 [4206]E(f317(f132(f900(x42061),f900(x42061),f124(x42061),f103(x42061)),f317(f317(f141(f900(x42061)),x42062),x42063)),f317(f317(f124(x42061),x42062),f317(f132(f900(x42061),f900(x42061),f124(x42061),f103(x42061)),x42063)))
% 183.74/183.90 [4227]E(f317(f317(f299(f906(x42271,a895)),f317(f275(x42271,x42271,x42272),f317(f317(f299(x42271),x42273),f178(f906(x42271,a895))))),f178(f906(f906(x42271,a895),a895))),f317(f317(f55(x42271),f317(f317(f299(x42271),x42273),f178(f906(x42271,a895)))),x42272))
% 183.74/183.90 [4237]E(f317(f317(f74(a899),f317(f317(f75(a899),x42371),f317(f317(f30(a899),x42372),x42373))),f317(f317(f30(a899),f317(f317(f75(a899),x42371),f40(a899,x42372,x42373))),x42373)),f317(f317(f30(a899),f317(f317(f75(a899),x42371),x42372)),x42373))
% 183.74/183.90 [4238]E(f317(f317(f74(a1),f317(f317(f75(a1),x42381),f317(f317(f30(a1),x42382),x42383))),f317(f317(f30(a1),f317(f317(f75(a1),x42381),f40(a1,x42382,x42383))),x42383)),f317(f317(f30(a1),f317(f317(f75(a1),x42381),x42382)),x42383))
% 183.74/183.90 [4270]E(f317(f317(f3(f906(x42701,a895)),f317(f162(x42701),x42702)),f317(f317(f299(x42701),x42703),f178(f906(x42701,a895)))),f317(f162(x42701),f317(f126(x42701,f317(f317(f10(a895,a895,x42701),a312),f317(a314,x42703))),x42702)))
% 183.74/183.90 [4320]E(f317(f317(f124(x43201),f317(f132(f900(x43201),f900(x43201),f124(x43201),f103(x43201)),x43202)),f317(f132(f900(x43201),f900(x43201),f124(x43201),f103(x43201)),x43203)),f317(f132(f900(x43201),f900(x43201),f124(x43201),f103(x43201)),f317(f317(f124(f900(x43201)),x43202),x43203)))
% 183.74/183.90 [4323]E(f317(f317(f242(f900(x43231),f900(x43231)),f317(f126(x43231,x43232),x43233)),f317(f126(x43231,f317(f67(a895,a895,x43231,a312),x43232)),x43233)),f156(x43231,x43232,x43233))
% 183.74/183.90 [4326]E(f317(f317(f74(a899),f317(f317(f74(a899),f317(f317(f30(a899),x43261),x43262)),f317(f317(f30(a899),x43263),x43262))),f317(f317(f30(a899),f317(f317(f74(a899),f40(a899,x43261,x43262)),f40(a899,x43263,x43262))),x43262)),f317(f317(f30(a899),f317(f317(f74(a899),x43261),x43263)),x43262))
% 183.74/183.90 [4327]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f30(a1),x43271),x43272)),f317(f317(f30(a1),x43273),x43272))),f317(f317(f30(a1),f317(f317(f74(a1),f40(a1,x43271,x43272)),f40(a1,x43273,x43272))),x43272)),f317(f317(f30(a1),f317(f317(f74(a1),x43271),x43273)),x43272))
% 183.74/183.90 [4380]E(f317(f317(f92(f906(f900(x43801),a895)),f317(f317(f9(f900(x43801),f906(f900(x43801),a895),a895),f319(f900(x43801))),f151(x43801,x43802))),f317(f317(f9(f900(x43801),f906(f900(x43801),a895),a895),f319(f900(x43801))),f151(x43801,x43803))),f150(x43801,f317(f317(f92(f906(x43801,a895)),f317(f317(f9(x43801,f906(x43801,a895),a895),f319(x43801)),x43802)),f317(f317(f9(x43801,f906(x43801,a895),a895),f319(x43801)),x43803))))
% 183.74/183.90 [4392]E(f317(f252(x43921),f317(f317(f20(x43921,a895,a895),f317(f317(f10(a895,f906(a895,a895),x43921),a316),f317(f317(f9(x43921,x43921,a895),a314),x43922))),f317(f317(f9(x43921,f906(x43921,a895),a895),f319(x43921)),x43923))),f317(f317(f299(x43921),x43922),x43923))
% 183.74/183.90 [4412]E(f317(f317(f80(f900(f900(x44121)),f900(f900(x44121))),f49(x44121,x44122)),f317(f317(f20(f900(f900(x44121)),f900(f900(x44121)),f900(f900(x44121))),f317(f317(f10(f900(f900(x44121)),f906(f900(f900(x44121)),f900(f900(x44121))),f900(f900(x44121))),f124(f900(x44121))),f317(f144(f900(x44121),f900(x44121)),f317(f141(x44121),x44123)))),f7(f900(f900(x44121))))),f49(x44121,f317(f317(f141(x44121),x44123),x44122)))
% 183.74/183.90 [4415]E(f317(f252(x44151),f317(f317(f20(x44151,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44151),a316),f317(f317(f9(x44151,f906(x44151,a895),a895),f319(x44151)),x44152))),f317(f317(f9(x44151,f906(x44151,a895),a895),f319(x44151)),x44153))),f317(f317(f91(f906(x44151,a895)),x44152),x44153))
% 183.74/183.90 [4416]E(f317(f252(x44161),f317(f317(f20(x44161,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44161),a315),f317(f317(f9(x44161,f906(x44161,a895),a895),f319(x44161)),x44162))),f317(f317(f9(x44161,f906(x44161,a895),a895),f319(x44161)),x44163))),f317(f317(f92(f906(x44161,a895)),x44162),x44163))
% 183.74/183.90 [4505]E(f317(f317(f35(x45051,f906(f906(x45051,a895),a895)),x45052),f317(f317(f9(x45051,f906(f906(x45051,a895),a895),f906(f906(x45051,a895),a895)),f317(f317(f10(f906(x45051,a895),f906(f906(f906(x45051,a895),a895),f906(f906(x45051,a895),a895)),x45051),f299(f906(x45051,a895))),f317(f317(f10(f906(x45051,a895),f906(x45051,a895),x45051),f275(x45051,x45051,x45053)),f317(f317(f9(x45051,f906(x45051,a895),f906(x45051,a895)),f299(x45051)),f178(f906(x45051,a895)))))),f178(f906(f906(x45051,a895),a895)))),f317(f317(f55(x45051),x45052),x45053))
% 183.74/183.90 [4507]E(f317(f317(f191(x45071),f317(f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45071,f241(a1,a1)),f202(x45071)),x45072)),f317(f317(f67(f905(a1,a1),a1,x45071,f241(a1,a1)),f202(x45071)),x45073))),f317(f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45071,f246(a1,a1)),f202(x45071)),x45072)),f317(f317(f67(f905(a1,a1),a1,x45071,f246(a1,a1)),f202(x45071)),x45073))),f218(x45071,x45072,x45073))
% 183.74/183.90 [4510]E(f317(f252(f900(x45101)),f317(f317(f20(f900(x45101),a895,a895),f317(f317(f10(a895,f906(a895,a895),f900(x45101)),a315),f317(f317(f9(f900(x45101),a899,a895),f317(f317(f10(a899,f906(a899,a895),f900(x45101)),a314),f179(f900(x45101)))),x45102))),f317(f317(f9(f900(x45101),f906(x45101,a895),a895),f317(f317(f10(f906(x45101,a895),f906(f906(x45101,a895),a895),f900(x45101)),f224(f906(x45101,a895))),f162(x45101))),f317(f162(x45101),x45103)))),f317(f162(f900(x45101)),f50(x45101,x45102,x45103)))
% 183.74/183.90 [3919]E(f40(a899,f317(f317(f74(a899),f317(f317(f75(a899),x39191),x39192)),x39193),x39192),f40(a899,x39193,x39192))
% 183.74/183.90 [3964]E(f129(a899,f317(f292(a899,f317(f317(f74(a899),x39641),x39642)),x39643)),f317(f317(f128(a899),x39642),f129(a899,f317(f292(a899,x39641),x39643))))
% 183.74/183.90 [4003]E(f317(f317(f74(a1),f317(f90(a1),x40031)),f317(f317(f74(a1),f317(f90(a1),x40032)),x40033)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a899),x40031),x40032))),x40033))
% 183.74/183.90 [4010]E(f317(f317(f3(f906(x40101,a895)),f317(f317(f3(f906(x40101,a895)),x40102),x40103)),x40103),f317(f317(f3(f906(x40101,a895)),x40102),x40103))
% 183.74/183.90 [4011]E(f317(f317(f91(f906(x40111,a895)),f317(f317(f3(f906(x40111,a895)),x40112),x40113)),x40113),f317(f317(f91(f906(x40111,a895)),x40112),x40113))
% 183.74/183.90 [4035]E(f317(f317(f279(x40351,x40351,x40352),f297(x40351,f178(f906(f905(x40351,x40351),a895)))),x40353),x40353)
% 183.74/183.90 [4043]E(f317(f317(f91(f906(x40431,a895)),f317(f271(x40431),x40432)),f317(f271(x40431),x40433)),f317(f271(x40431),f317(f317(f91(f906(f905(x40431,x40431),a895)),x40432),x40433)))
% 183.74/183.90 [4053]E(f256(x40531,f317(f317(f141(f905(a89,x40531)),f317(f317(f242(a89,x40531),f2(a89)),x40532)),x40533)),f256(x40531,x40533))
% 183.74/183.90 [4055]E(f317(f317(f91(f906(x40551,a895)),f31(f906(x40551,a895),x40552)),f31(f906(x40551,a895),x40553)),f31(f906(x40551,a895),f317(f317(f91(f906(f906(x40551,a895),a895)),x40552),x40553)))
% 183.74/183.90 [4056]E(f317(f317(f92(f906(x40561,a895)),f32(f906(x40561,a895),x40562)),f32(f906(x40561,a895),x40563)),f32(f906(x40561,a895),f317(f317(f91(f906(f906(x40561,a895),a895)),x40562),x40563)))
% 183.74/183.90 [4093]E(f317(f317(f279(x40931,x40931,x40931),f317(f317(f173(f905(x40931,x40931),a895),x40932),x40933)),x40933),f317(f317(f173(f905(x40931,x40931),a895),f317(a102,x40932)),x40933))
% 183.74/183.90 [4136]P1(f317(f317(f224(f906(x41361,a895)),f317(f317(f3(f906(x41361,a895)),x41362),x41363)),x41362))
% 183.74/183.90 [4137]P1(f317(f317(f224(f906(x41371,a895)),f317(f317(f92(f906(x41371,a895)),x41372),x41373)),x41373))
% 183.74/183.90 [4138]P1(f317(f317(f224(f906(x41381,a895)),f317(f317(f92(f906(x41381,a895)),x41382),x41383)),x41382))
% 183.74/183.90 [4162]E(f297(x41621,f317(f317(f91(f906(f905(x41621,x41621),a895)),f297(x41621,x41622)),f297(x41621,x41623))),f297(x41621,f317(f317(f91(f906(f905(x41621,x41621),a895)),x41622),x41623)))
% 183.74/183.90 [4166]E(f31(f906(x41661,a895),f317(f317(f299(f906(x41661,a895)),x41662),f317(f317(f299(f906(x41661,a895)),x41663),f178(f906(f906(x41661,a895),a895))))),f317(f317(f91(f906(x41661,a895)),x41662),x41663))
% 183.74/183.90 [4167]E(f32(f906(x41671,a895),f317(f317(f299(f906(x41671,a895)),x41672),f317(f317(f299(f906(x41671,a895)),x41673),f178(f906(f906(x41671,a895),a895))))),f317(f317(f92(f906(x41671,a895)),x41672),x41673))
% 183.74/183.90 [4172]E(f317(f317(f279(x41721,x41721,x41721),f317(f317(f173(f905(x41721,x41721),a895),x41722),x41723)),x41723),f317(f317(f279(x41721,x41721,x41721),x41723),f317(f317(f173(f905(x41721,x41721),a895),x41722),x41723)))
% 183.74/183.90 [4241]E(f317(f317(f91(f906(x42411,a895)),f317(f252(x42411),f317(f317(f9(x42411,x42411,a895),a314),x42412))),x42413),f317(f317(f299(x42411),x42412),x42413))
% 183.74/183.90 [4243]E(f317(a95,f317(f317(f8(x42431,a1),f317(f317(f10(a899,a1,x42431),f90(a1)),x42432)),x42433)),f317(f317(f8(x42431,a899),x42432),x42433))
% 183.74/183.90 [4244]E(f317(a95,f317(f317(f11(x42441,a1),f317(f317(f10(a899,a1,x42441),f90(a1)),x42442)),x42443)),f317(f317(f11(x42441,a899),x42442),x42443))
% 183.74/183.90 [4317]E(f317(f146(f900(x43171),x43171,f317(f161(x43171),x43172),f317(f18(f906(f900(x43171),f900(x43171)),x43171),f317(f317(f9(f900(x43171),f900(x43171),f900(x43171)),f124(x43171)),x43172))),x43173),f317(f161(x43171),f317(f317(f124(x43171),x43173),x43172)))
% 183.74/183.90 [4345]P1(f317(f317(f224(f906(f906(x43451,a895),a895)),f317(f317(f91(f906(f906(x43451,a895),a895)),f317(f298(x43451),x43452)),f317(f298(x43451),x43453))),f317(f298(x43451),f317(f317(f91(f906(x43451,a895)),x43452),x43453))))
% 183.74/183.90 [4434]E(f317(f252(x44341),f317(f317(f20(x44341,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44341),a315),f317(f317(f9(x44341,f906(x44341,a895),a895),f319(x44341)),x44342))),f317(f317(f10(a895,a895,x44341),a312),f317(f317(f9(x44341,f906(x44341,a895),a895),f319(x44341)),x44343)))),f317(f317(f3(f906(x44341,a895)),x44342),x44343))
% 183.74/183.90 [4458]E(f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,a899,a895),f225(a899)),f317(f179(f900(x44581)),x44582)))),f317(f317(f10(x44581,a895,a899),x44583),f317(f154(x44581),x44582))))),f317(f179(f900(x44581)),f317(f126(x44581,x44583),x44582)))
% 183.74/183.90 [4460]E(f317(f179(f900(x44601)),f166(x44601,x44602,x44603)),f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,a899,a895),f225(a899)),f317(f179(f900(x44601)),x44602)))),f317(f317(f9(a899,f906(a899,a895),a895),f319(a899)),x44603)))))
% 183.74/183.90 [4556]E(f317(f317(f92(f906(f905(f900(x45561),f900(x45561)),a895)),f317(f300(f905(f905(x45561,f900(x45561)),f905(x45561,f900(x45561))),f905(f900(x45561),f900(x45561)),f248(f905(x45561,f900(x45561)),f900(x45561),f905(x45561,f900(x45561)),f900(x45561),f317(f247(x45561,f900(x45561),f900(x45561)),f141(x45561)),f317(f247(x45561,f900(x45561),f900(x45561)),f141(x45561)))),f309(x45561,f900(x45561),x45562,f317(f133(x45561,x45562),x45563)))),f317(f252(f905(f900(x45561),f900(x45561))),f317(f247(f900(x45561),f900(x45561),a895),f317(f317(f9(f900(x45561),f906(f900(x45561),a895),f906(f900(x45561),a895)),f317(f317(f10(f906(a895,a895),f906(f906(f900(x45561),a895),f906(f900(x45561),a895)),f900(x45561)),f10(a895,a895,f900(x45561))),f317(f317(f10(a895,f906(a895,a895),f900(x45561)),a315),f317(f317(f9(f900(x45561),a899,a895),f317(f317(f10(a899,f906(a899,a895),f900(x45561)),a314),f179(f900(x45561)))),f317(a102,x45563))))),f317(f317(f9(f900(x45561),a899,a895),f317(f317(f10(a899,f906(a899,a895),f900(x45561)),a314),f179(f900(x45561)))),f317(a102,x45563)))))),f317(f133(x45561,x45562),f317(a102,x45563)))
% 183.74/183.90 [4057]E(f40(a899,f317(a102,f317(f317(f74(a899),f317(f317(f75(a899),x40571),x40572)),x40573)),x40572),f40(a899,f317(a102,x40573),x40572))
% 183.74/183.90 [4303]E(f317(f252(x43031),f317(f317(f20(x43031,a895,a895),f317(f317(f10(a895,f906(a895,a895),x43031),a315),x43032)),x43033)),f317(f317(f92(f906(x43031,a895)),f317(f252(x43031),x43032)),f317(f252(x43031),x43033)))
% 183.74/183.90 [4304]E(f317(f252(x43041),f317(f317(f20(x43041,a895,a895),f317(f317(f10(a895,f906(a895,a895),x43041),a316),x43042)),x43043)),f317(f317(f91(f906(x43041,a895)),f317(f252(x43041),x43042)),f317(f252(x43041),x43043)))
% 183.74/183.90 [4306]E(f317(f317(f124(x43061),f317(f317(f128(x43061),f40(a899,x43062,f317(f179(f900(x43061)),x43063))),x43063)),f317(f317(f165(x43061),f40(a899,x43062,f317(f179(f900(x43061)),x43063))),x43063)),f317(f317(f317(f173(f900(x43061),f900(x43061)),x43062),f157(x43061)),x43063))
% 183.74/183.90 [4312]E(f317(f252(x43121),f317(f317(f20(x43121,a895,a895),f317(f317(f10(a895,f906(a895,a895),x43121),a320),x43122)),x43123)),f317(f317(f91(f906(x43121,a895)),f317(f73(f906(x43121,a895)),f317(f252(x43121),x43122))),f317(f252(x43121),x43123)))
% 183.74/183.90 [4328]E(f317(f317(f74(a899),f317(f179(f900(x43281)),f317(f126(x43281,x43282),x43283))),f317(f179(f900(x43281)),f317(f126(x43281,f317(f317(f10(a895,a895,x43281),a312),x43282)),x43283))),f317(f179(f900(x43281)),x43283))
% 183.74/183.90 [4351]P1(f317(f317(f224(f906(x43511,a895)),f317(f317(f91(f906(x43511,a895)),f32(f906(x43511,a895),x43512)),f32(f906(x43511,a895),x43513))),f32(f906(x43511,a895),f317(f317(f92(f906(f906(x43511,a895),a895)),x43512),x43513))))
% 183.74/183.90 [4365]E(f317(f162(x43651),f317(f126(x43651,f317(f317(f10(a895,a895,x43651),a312),f317(f317(f9(x43651,x43651,a895),a314),x43652))),x43653)),f317(f317(f3(f906(x43651,a895)),f317(f162(x43651),x43653)),f317(f317(f299(x43651),x43652),f178(f906(x43651,a895)))))
% 183.74/183.90 [4374]P1(f317(f317(f224(f906(f905(x43741,x43741),a895)),f317(f317(f91(f906(f905(x43741,x43741),a895)),f297(x43741,x43742)),f297(x43741,x43743))),f297(x43741,f317(f317(f91(f906(f905(x43741,x43741),a895)),x43742),x43743))))
% 183.74/183.90 [4397]E(f317(f317(f75(a899),f317(a102,f317(a102,f2(a899)))),f317(f317(f8(a899,a899),f317(f317(f10(a899,a899,a899),f317(f74(a899),x43971)),f317(f317(f9(a899,a899,a899),f75(a899)),x43972))),f317(f272(a899),x43973))),f317(f317(f75(a899),x43973),f317(f317(f74(a899),x43971),f317(f317(f74(a899),x43971),f317(f317(f75(a899),f317(f317(f3(a899),x43973),f72(a899))),x43972)))))
% 183.74/183.90 [4407]E(f317(f252(x44071),f317(f317(f20(x44071,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44071),a315),f317(f317(f9(x44071,f906(x44071,a895),a895),f319(x44071)),f317(f162(x44071),x44072)))),x44073)),f317(f162(x44071),f317(f126(x44071,x44073),x44072)))
% 183.74/183.90 [4555]E(f317(f252(x45551),f317(f317(f10(f906(a899,a895),a895,x45551),f81(a899)),f317(f317(f9(x45551,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),x45551),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),x45551),f317(f10(a895,f906(a895,a895),a899),a315)),f317(f317(f9(x45551,f906(a899,x45551),f906(a899,a895)),f317(f317(f10(f906(x45551,a895),f906(f906(a899,x45551),f906(a899,a895)),x45551),f10(x45551,a895,a899)),a314)),f317(f154(x45551),x45552))))),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,a899,a895),f225(a899)),f317(f179(f900(x45551)),x45552)))),f317(f317(f9(a899,f906(a899,a895),a895),f319(a899)),x45553))))),f317(f162(x45551),f166(x45551,x45552,x45553)))
% 183.74/183.90 [4447]E(f317(f252(x44471),f317(f317(f20(x44471,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44471),a320),f317(f317(f10(a895,a895,x44471),a312),f317(f317(f9(x44471,x44471,a895),a314),x44472)))),x44473)),f317(f317(f299(x44471),x44472),f317(f252(x44471),x44473)))
% 183.74/183.90 [4479]E(f317(f317(f144(f905(x44791,a899),x44791),f241(x44791,a899)),f317(f126(f905(x44791,a899),f317(f317(f9(f905(x44791,a899),f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),f905(x44791,a899)),f319(a899)),f246(x44791,a899))),x44792)),f317(f317(f171(x44791,a899),x44793),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(x44791)),x44793)))))),f166(x44791,x44793,x44792))
% 183.74/183.90 [4506]E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f8(a899,a1),f317(f317(f10(a1,a1,a899),f317(f74(a1),x45061)),f317(f317(f9(a899,a1,a1),f317(f317(f10(a1,f906(a1,a1),a899),f75(a1)),f90(a1))),x45062))),f317(f272(a899),x45063))),f317(f317(f75(a1),f317(f90(a1),x45063)),f317(f317(f74(a1),x45061),f317(f317(f74(a1),x45061),f317(f317(f75(a1),f317(f90(a1),f317(f317(f3(a899),x45063),f72(a899)))),x45062)))))
% 183.74/183.90 [4548]E(f317(f252(f905(x45481,x45482)),f317(f247(x45481,x45482,a895),f317(f317(f9(x45481,f906(f905(x45482,x45481),a895),f906(x45482,a895)),f317(f317(f10(f906(x45482,f906(f906(f905(x45482,x45481),a895),a895)),f906(f906(f905(x45482,x45481),a895),f906(x45482,a895)),x45481),f9(x45482,f906(f905(x45482,x45481),a895),a895)),f317(f317(f10(f906(x45482,f905(x45482,x45481)),f906(x45482,f906(f906(f905(x45482,x45481),a895),a895)),x45481),f317(f10(f905(x45482,x45481),f906(f906(f905(x45482,x45481),a895),a895),x45482),f319(f905(x45482,x45481)))),f317(f9(x45482,x45481,f905(x45482,x45481)),f242(x45482,x45481))))),x45483))),f317(f276(x45482,x45481),x45483))
% 183.74/183.90 [4568]E(f317(f252(f900(x45681)),f317(f317(f10(f906(x45681,a895),a895,f900(x45681)),f81(x45681)),f317(f317(f10(f906(x45681,f906(f900(x45681),a895)),f906(x45681,a895),f900(x45681)),f317(f10(f906(f900(x45681),a895),a895,x45681),f81(f900(x45681)))),f317(f317(f9(f900(x45681),f906(x45681,f906(f900(x45681),a895)),f906(x45681,f906(f900(x45681),a895))),f317(f317(f10(f906(x45681,f906(f906(f900(x45681),a895),f906(f900(x45681),a895))),f906(f906(x45681,f906(f900(x45681),a895)),f906(x45681,f906(f900(x45681),a895))),f900(x45681)),f20(x45681,f906(f900(x45681),a895),f906(f900(x45681),a895))),f317(f317(f10(f906(x45681,f906(f900(x45681),f906(a895,a895))),f906(x45681,f906(f906(f900(x45681),a895),f906(f900(x45681),a895))),f900(x45681)),f317(f10(f906(f900(x45681),f906(a895,a895)),f906(f906(f900(x45681),a895),f906(f900(x45681),a895)),x45681),f20(f900(x45681),a895,a895))),f317(f317(f10(f906(x45681,f906(f900(x45681),a895)),f906(x45681,f906(f900(x45681),f906(a895,a895))),f900(x45681)),f317(f10(f906(f900(x45681),a895),f906(f900(x45681),f906(a895,a895)),x45681),f317(f10(a895,f906(a895,a895),f900(x45681)),a315))),f317(f317(f9(f900(x45681),f906(x45681,f906(f900(x45681),f900(x45681))),f906(x45681,f906(f900(x45681),a895))),f317(f317(f10(f906(f906(f900(x45681),f900(x45681)),f906(f900(x45681),a895)),f906(f906(x45681,f906(f900(x45681),f900(x45681))),f906(x45681,f906(f900(x45681),a895))),f900(x45681)),f10(f906(f900(x45681),f900(x45681)),f906(f900(x45681),a895),x45681)),f317(f317(f10(f906(f900(x45681),a895),f906(f906(f900(x45681),f900(x45681)),f906(f900(x45681),a895)),f900(x45681)),f10(f900(x45681),a895,f900(x45681))),a314))),f141(x45681)))))),f317(f317(f9(x45681,f906(f900(x45681),a895),f906(f900(x45681),a895)),f317(f317(f10(f906(a895,a895),f906(f906(f900(x45681),a895),f906(f900(x45681),a895)),x45681),f10(a895,a895,f900(x45681))),f317(f317(f10(a895,f906(a895,a895),x45681),a315),f317(f317(f9(x45681,f906(x45681,a895),a895),f319(x45681)),x45682)))),f317(f317(f9(f900(x45681),f906(f900(x45681),a895),a895),f319(f900(x45681))),x45683)))))),f164(x45681,x45682,x45683))
% 183.74/183.90 [4565]E(f317(f317(f80(a1,f905(a1,a1)),f317(f317(f3(a1),x45651),x45652)),f317(f317(f9(a1,f905(a1,a1),f905(a1,a1)),f317(f317(f20(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f10(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(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(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45653)),f72(a1))))),f317(f317(f242(a1,a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45653)),x45651))),f317(f38(x45652),f317(f317(f242(a1,a1),x45653),x45651)))
% 183.74/183.90 [3621]E(f106(x36211,f317(x36212,x36213),f317(x36214,x36213)),f317(f193(x36211,x36212,x36214),x36213))
% 183.74/183.90 [3674]E(f317(f317(f235(x36741,x36742,x36743),x36744),f2(a899)),x36742)
% 183.74/183.90 [3712]E(f175(x37121,x37122,x37123,f317(a102,x37124)),f317(x37123,x37124))
% 183.74/183.90 [3753]E(f160(x37531,x37532,f160(x37531,x37533,x37534)),f160(x37531,x37533,f160(x37531,x37532,x37534)))
% 183.74/183.90 [3754]E(f116(x37541,x37542,f106(x37541,x37543,x37544)),f106(x37541,f116(x37541,x37542,x37543),x37544))
% 183.74/183.90 [3887]E(f317(f146(x38871,x38872,x38873,x38874),f103(x38872)),x38873)
% 183.74/183.90 [3888]E(f317(f132(x38881,x38882,x38883,x38884),f103(x38882)),x38884)
% 183.74/183.90 [3925]E(f317(f179(f903(x39251,x39252)),f210(x39251,x39252,x39253,x39254)),f2(a899))
% 183.74/183.90 [3948]E(f317(f247(x39481,x39482,x39483),f245(x39481,x39482,x39483,x39484)),x39484)
% 183.74/183.90 [3991]E(f317(f317(f124(x39911),f159(x39911,x39912,x39913)),f159(x39911,x39914,x39913)),f317(f317(f124(x39911),f159(x39911,x39914,x39913)),f159(x39911,x39912,x39913)))
% 183.74/183.90 [4076]E(f317(f317(f249(x40761,x40762,x40763,f905(x40762,x40763)),x40764),f242(x40762,x40763)),x40764)
% 183.74/183.90 [4086]E(f117(x40861,x40862,x40863,x40864,f109(x40862)),x40863)
% 183.74/183.90 [4092]E(f69(x40921,x40922,x40923,x40924,f317(x40923,x40924)),x40923)
% 183.74/183.90 [4358]P41(x43581,x43582,x43583,x43584,f178(f906(x43581,a895)),x43584)
% 183.74/183.90 [3427]E(f317(f317(f18(x34271,x34272),x34273),x34274),x34273)
% 183.74/183.90 [3702]E(f160(x37021,x37022,f317(f126(x37021,x37023),x37024)),f317(f126(x37021,x37023),f160(x37021,x37022,x37024)))
% 183.74/183.90 [3736]E(f317(f317(f58(x37361,x37362,x37363),x37364),f178(f906(x37361,a895))),x37364)
% 183.74/183.90 [3760]E(f317(f317(f154(x37601),f317(f317(f141(x37601),x37602),x37603)),f317(a102,x37604)),f317(f317(f154(x37601),x37603),x37604))
% 183.74/183.90 [3827]E(f317(f317(x38271,x38272),f317(f174(x38273,x38274,x38271),x38272)),f317(f174(x38273,x38274,x38271),f317(a102,x38272)))
% 183.74/183.90 [3868]E(f245(x38681,x38682,x38683,f317(f247(x38681,x38682,x38683),x38684)),x38684)
% 183.74/183.90 [3923]E(f317(f317(f149(x39231,f317(f317(f141(x39231),x39232),x39233)),f2(a899)),x39234),f317(f317(f141(x39231),x39234),x39233))
% 183.74/183.90 [3933]E(f317(f317(f35(f906(x39331,a895),f906(x39332,a895)),x39333),f300(x39331,x39332,x39334)),f317(f300(x39331,x39332,x39334),f31(f906(x39331,a895),x39333)))
% 183.74/183.90 [3934]E(f317(f317(f35(f906(x39341,a895),f906(x39342,a895)),x39343),f301(x39342,x39341,x39344)),f317(f301(x39342,x39341,x39344),f31(f906(x39341,a895),x39343)))
% 183.74/183.90 [3959]E(f110(x39591,f120(x39592,f901(x39591),x39593,x39594)),f317(f108(x39592,x39591,x39594),x39593))
% 183.74/183.90 [4031]E(f317(f115(x40311,x40312),f116(x40311,x40313,x40314)),f317(f317(f74(a899),f317(f317(f74(a899),f317(x40312,x40313)),f317(f115(x40311,x40312),x40314))),f317(a102,f2(a899))))
% 183.74/183.90 [4052]E(f317(f132(x40521,x40522,f317(f9(x40522,x40521,x40521),x40523),x40524),f317(f158(x40522),f103(x40522))),x40524)
% 183.74/183.90 [4156]E(f213(x41561,f905(x41562,f901(x41562)),x41563,f317(f247(x41562,f901(x41562),x41561),x41564),f317(f125(x41562),f109(x41562))),x41563)
% 183.74/183.90 [4288]E(f317(f247(x42881,x42882,x42883),f317(f317(f10(f906(x42882,f905(x42881,x42882)),f906(x42882,x42883),x42881),f317(f10(f905(x42881,x42882),x42883,x42882),x42884)),f242(x42881,x42882))),x42884)
% 183.74/183.90 [3612]E(f317(f246(x36121,x36122),f317(f317(f242(x36121,x36122),x36123),x36124)),x36124)
% 183.74/183.90 [3613]E(f317(f241(x36131,x36132),f317(f317(f242(x36131,x36132),x36133),x36134)),x36133)
% 183.74/183.90 [3646]E(f317(f179(f900(x36461)),f317(f317(f149(x36461,x36462),x36463),x36464)),f317(f179(f900(x36461)),x36462))
% 183.74/183.90 [3647]E(f317(f179(f900(x36471)),f317(f317(f144(x36472,x36471),x36473),x36474)),f317(f179(f900(x36472)),x36474))
% 183.74/183.90 [3668]E(f317(f317(f128(x36681),f317(a102,x36682)),f317(f317(f141(x36681),x36683),x36684)),f317(f317(f128(x36681),x36682),x36684))
% 183.74/183.90 [3731]E(f317(f317(f165(x37311),x37312),f159(x37311,x37313,x37314)),f159(x37311,f317(f317(f228(a899),x37312),x37313),x37314))
% 183.74/183.90 [3732]E(f317(f317(f128(x37321),x37322),f159(x37321,x37323,x37324)),f159(x37321,f317(f317(f3(a899),x37323),x37322),x37324))
% 183.74/183.90 [3738]E(f317(f317(f299(x37381),x37382),f317(f317(f299(x37381),x37383),x37384)),f317(f317(f299(x37381),x37383),f317(f317(f299(x37381),x37382),x37384)))
% 183.74/183.90 [3742]E(f317(f317(f144(x37421,x37422),x37423),f104(x37421,x37424)),f104(x37422,f317(f317(f144(x37421,x37422),x37423),x37424)))
% 183.74/183.90 [3758]E(f317(f158(x37581),f317(f317(f144(x37582,x37581),x37583),x37584)),f317(f317(f144(x37582,x37581),x37583),f317(f158(x37582),x37584)))
% 183.74/183.90 [3759]E(f317(f317(f144(x37591,x37592),x37593),f317(f161(x37591),x37594)),f317(f161(x37592),f317(f317(f144(x37591,x37592),x37593),x37594)))
% 183.74/183.90 [3774]E(f317(f317(f165(x37741),f317(a102,x37742)),f317(f317(f141(x37741),x37743),x37744)),f317(f317(f141(x37741),x37743),f317(f317(f165(x37741),x37742),x37744)))
% 183.74/183.90 [3777]E(f317(f162(x37771),f317(f317(f144(x37772,x37771),x37773),x37774)),f317(f300(x37772,x37771,x37773),f317(f162(x37772),x37774)))
% 183.74/183.90 [3790]E(f317(f317(f144(x37901,x37902),f317(f18(x37902,x37901),x37903)),x37904),f159(x37902,f317(f179(f900(x37901)),x37904),x37903))
% 183.74/183.90 [3826]E(f19(x38261,x38262,x38263,f317(a5,f317(a102,f317(a22,x38264)))),f317(x38263,x38264))
% 183.74/183.90 [3830]E(f317(f317(f124(x38301),f317(f126(x38301,x38302),x38303)),f317(f126(x38301,x38302),x38304)),f317(f126(x38301,x38302),f317(f317(f124(x38301),x38303),x38304)))
% 183.74/183.90 [3842]E(f142(x38421,f317(f317(f144(x38422,x38421),x38423),f142(x38422,x38424))),f142(x38421,f317(f317(f144(x38422,x38421),x38423),x38424)))
% 183.74/183.90 [3857]E(f317(f276(x38571,x38571),f317(f317(f278(x38572,x38571),x38573),x38574)),f317(f317(f278(x38572,x38571),f317(f276(x38572,x38572),x38573)),x38574))
% 183.74/183.90 [3869]E(f317(f317(f279(x38691,x38692,x38693),x38694),f178(f906(f905(x38692,x38693),a895))),f178(f906(f905(x38691,x38693),a895)))
% 183.74/183.90 [3870]E(f317(f317(f165(x38701),f317(f317(f3(a899),x38702),x38703)),f317(f317(f128(x38701),x38703),x38704)),f317(f317(f128(x38701),x38703),f317(f317(f165(x38701),x38702),x38704)))
% 183.74/183.90 [3889]E(f317(f317(f124(x38891),f159(x38891,x38892,x38893)),f159(x38891,x38894,x38893)),f159(x38891,f317(f317(f74(a899),x38892),x38894),x38893))
% 183.74/183.90 [3890]E(f317(f317(f317(f268(x38901),x38902),x38903),x38904),f317(f242(f906(a89,f906(a895,f902(f901(x38901)))),f905(a89,a89)),f317(f37(x38901),x38902)))
% 183.74/183.90 [3916]E(f31(f906(x39161,a895),f317(f300(x39162,f906(x39161,a895),x39163),x39164)),f317(f317(f35(x39162,f906(x39161,a895)),x39164),x39163))
% 183.74/183.90 [3917]E(f32(f906(x39171,a895),f317(f300(x39172,f906(x39171,a895),x39173),x39174)),f317(f317(f34(x39172,f906(x39171,a895)),x39174),x39173))
% 183.74/183.90 [3918]E(f317(f179(f900(f905(x39181,x39182))),f317(f317(f171(x39181,x39182),x39183),x39184)),f317(f317(f228(a899),f317(f179(f900(x39181)),x39183)),f317(f179(f900(x39182)),x39184)))
% 183.74/183.90 [3920]E(f317(f301(x39201,x39202,x39203),f317(f73(f906(x39202,a895)),x39204)),f317(f73(f906(x39201,a895)),f317(f301(x39201,x39202,x39203),x39204)))
% 183.74/183.90 [3969]E(f317(f301(x39691,x39692,x39693),f317(f252(x39692),x39694)),f317(f252(x39691),f317(f317(f10(x39692,a895,x39691),x39694),x39693)))
% 183.74/183.90 [3986]E(f317(f317(f154(x39861),f317(f317(f124(x39861),x39862),f317(f317(f141(x39861),x39863),x39864))),f317(f179(f900(x39861)),x39862)),x39863)
% 183.74/183.90 [4008]E(f317(f300(x40081,x40082,x40083),f317(f301(x40081,x40082,x40083),x40084)),f317(f317(f92(f906(x40082,a895)),x40084),f317(f300(x40081,x40082,x40083),f232(f906(x40081,a895)))))
% 183.74/183.90 [4027]P1(f317(f317(f319(x40271),f317(x40272,x40273)),f317(f300(x40274,x40271,x40272),f232(f906(x40274,a895)))))
% 183.74/183.90 [4036]E(f21(x40361,x40362,x40363,f317(a5,f317(a102,f317(a22,x40364)))),f317(f317(x40363,x40364),f21(x40361,x40362,x40363,x40364)))
% 183.74/183.90 [4040]E(f317(f317(f124(x40401),f159(x40401,x40402,x40403)),f317(f317(f141(x40401),x40403),x40404)),f317(f317(f141(x40401),x40403),f317(f317(f124(x40401),f159(x40401,x40402,x40403)),x40404)))
% 183.74/183.90 [4042]E(f317(f317(f244(x40421,x40422),f317(f162(x40421),x40423)),f317(f18(f906(x40422,a895),x40421),f317(f162(x40422),x40424))),f317(f162(f905(x40421,x40422)),f54(x40421,x40422,x40423,x40424)))
% 183.74/183.90 [4054]E(f145(x40541,x40542,f317(f317(f141(x40541),x40543),x40544)),f317(f317(f74(a899),f317(f317(f74(a899),f317(x40542,x40543)),f145(x40541,x40542,x40544))),f317(a102,f2(a899))))
% 183.74/183.90 [4067]E(f175(f900(x40671),f317(f317(f141(x40671),x40672),x40673),f317(f317(f9(a899,f900(x40671),f900(x40671)),f128(x40671)),x40673),x40674),f317(f317(f128(x40671),x40674),f317(f317(f141(x40671),x40672),x40673)))
% 183.74/183.90 [4068]P24(x40681,f905(x40682,x40681),f321(x40683,x40684,x40682,x40681),f317(f317(f35(x40682,f906(x40681,a895)),x40684),x40683))
% 183.74/183.90 [4077]E(f317(f317(f3(f906(x40771,a895)),f317(f317(f3(f906(x40771,a895)),x40772),x40773)),f317(f317(f299(x40771),x40774),f178(f906(x40771,a895)))),f317(f317(f3(f906(x40771,a895)),x40772),f317(f317(f299(x40771),x40774),x40773)))
% 183.74/183.90 [4090]E(f317(f317(f173(f906(x40901,x40902),f906(x40901,x40902)),x40903),f67(x40902,x40902,x40901,x40904)),f67(x40902,x40902,x40901,f317(f317(f173(x40902,x40902),x40903),x40904)))
% 183.74/183.90 [4161]E(f317(f317(f317(f173(f900(x41611),f900(x41611)),x41612),f157(x41611)),f317(f317(f317(f173(f900(x41611),f900(x41611)),x41613),f157(x41611)),x41614)),f317(f317(f317(f173(f900(x41611),f900(x41611)),f317(f317(f74(a899),x41612),x41613)),f157(x41611)),x41614))
% 183.74/183.90 [4246]P1(f317(f317(f224(f906(x42461,a895)),f317(f162(x42461),f317(f317(f149(x42461,x42462),x42463),x42464))),f317(f317(f299(x42461),x42464),f317(f162(x42461),x42462))))
% 183.74/183.90 [4278]E(f317(f317(f35(f906(x42781,a895),f906(f905(x42781,x42782),a895)),x42783),f317(f317(f9(f906(x42781,a895),f906(x42781,f906(x42782,a895)),f906(f905(x42781,x42782),a895)),f244(x42781,x42782)),x42784)),f317(f317(f244(x42781,x42782),f31(f906(x42781,a895),x42783)),x42784))
% 183.74/183.90 [4316]E(f199(x43161,x43162,x43163,f317(f67(x43162,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x43162))))),x43161,f198(x43162)),x43164)),f200(x43161,x43162,x43164,x43163))
% 183.74/183.90 [4331]E(f195(x43311,x43312,x43313,f317(f67(x43312,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x43312)))))),x43311,f194(x43312)),x43314)),f196(x43311,x43312,x43314,x43313))
% 183.74/183.90 [4336]P1(f317(f60(x43361,x43362,x43363,x43364,f178(f906(x43361,a895))),x43364))
% 183.74/183.90 [4375]E(f317(f317(f35(x43751,f906(x43752,a895)),x43753),f317(f317(f9(x43751,f906(x43752,a895),f906(x43752,a895)),f317(f317(f10(x43752,f906(f906(x43752,a895),f906(x43752,a895)),x43751),f299(x43752)),x43754)),f178(f906(x43752,a895)))),f317(f300(x43751,x43752,x43754),x43753))
% 183.74/183.90 [4382]P1(f317(f317(f224(f906(x43821,a895)),f317(f274(x43822,x43821),f317(f317(f92(f906(f905(x43822,x43821),a895)),x43823),x43824))),f317(f317(f92(f906(x43821,a895)),f317(f274(x43822,x43821),x43823)),f317(f274(x43822,x43821),x43824))))
% 183.74/183.90 [4383]P1(f317(f317(f224(f906(x43831,a895)),f317(f254(x43831,x43832),f317(f317(f92(f906(f905(x43831,x43832),a895)),x43833),x43834))),f317(f317(f92(f906(x43831,a895)),f317(f254(x43831,x43832),x43833)),f317(f254(x43831,x43832),x43834))))
% 183.74/183.90 [4443]P1(f317(f317(f224(f906(f905(x44431,x44432),a895)),f317(f300(x44432,f905(x44431,x44432),f321(x44433,x44434,x44431,x44432)),f317(f317(f35(x44431,f906(x44432,a895)),x44434),x44433))),f317(f317(f244(x44431,x44432),x44434),x44433)))
% 183.74/183.90 [4444]E(f317(f108(x44441,f905(x44441,x44442),x44443),f317(f317(f10(f906(x44442,f901(f905(x44441,x44442))),f901(f905(x44441,x44442)),x44441),f108(x44442,f905(x44441,x44442),x44444)),f317(f317(f10(f906(x44442,f905(x44441,x44442)),f906(x44442,f901(f905(x44441,x44442))),x44441),f317(f10(f905(x44441,x44442),f901(f905(x44441,x44442)),x44442),f119(f905(x44441,x44442)))),f242(x44441,x44442)))),f121(x44441,x44442,x44443,x44444))
% 183.74/183.90 [4445]E(f266(x44451,x44452,x44453,f317(f67(x44452,f906(a89,f906(a89,f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x44452)))),f905(a89,a89))))),x44451,f268(x44452)),x44454)),f269(x44451,x44452,x44454,x44453))
% 183.74/183.90 [4485]E(f79(f905(x44851,x44852),f317(f247(x44851,x44852,a895),f317(f317(f9(x44851,f906(x44852,a895),f906(x44852,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x44852,a895),f906(x44852,a895)),x44851),f10(a895,a895,x44852)),f317(f317(f10(a895,f906(a895,a895),x44851),a315),f317(a314,x44853)))),f317(a314,x44854)))),f317(f317(f242(x44851,x44852),x44853),x44854))
% 183.74/183.90 [4486]E(f84(f905(x44861,x44862),f317(f247(x44861,x44862,a895),f317(f317(f9(x44861,f906(x44862,a895),f906(x44862,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x44862,a895),f906(x44862,a895)),x44861),f10(a895,a895,x44862)),f317(f317(f10(a895,f906(a895,a895),x44861),a315),f317(a314,x44863)))),f317(a314,x44864)))),f317(f317(f242(x44861,x44862),x44863),x44864))
% 183.74/183.90 [4557]E(f317(f317(f247(f900(x45571),f900(x45571),f905(f900(x45571),f900(x45571))),f317(f317(f20(f900(x45571),f906(f900(x45571),f905(f900(x45571),f900(x45571))),f906(f900(x45571),f905(f900(x45571),f900(x45571)))),f317(f317(f10(f906(f900(x45571),f906(f905(f900(x45571),f900(x45571)),f905(f900(x45571),f900(x45571)))),f906(f906(f900(x45571),f905(f900(x45571),f900(x45571))),f906(f900(x45571),f905(f900(x45571),f900(x45571)))),f900(x45571)),f20(f900(x45571),f905(f900(x45571),f900(x45571)),f905(f900(x45571),f900(x45571)))),f317(f317(f10(f906(f900(x45571),f905(f900(x45571),f900(x45571))),f906(f900(x45571),f906(f905(f900(x45571),f900(x45571)),f905(f900(x45571),f900(x45571)))),f900(x45571)),f317(f10(f905(f900(x45571),f900(x45571)),f906(f905(f900(x45571),f900(x45571)),f905(f900(x45571),f900(x45571))),f900(x45571)),f317(f86(f905(f900(x45571),f900(x45571))),f317(x45572,x45573)))),f317(f317(f10(f900(x45571),f906(f900(x45571),f905(f900(x45571),f900(x45571))),f900(x45571)),f242(f900(x45571),f900(x45571))),f317(f141(x45571),x45573))))),f317(f317(f9(f900(x45571),f906(f900(x45571),f900(x45571)),f906(f900(x45571),f905(f900(x45571),f900(x45571)))),f317(f317(f10(f906(f900(x45571),f905(f900(x45571),f900(x45571))),f906(f906(f900(x45571),f900(x45571)),f906(f900(x45571),f905(f900(x45571),f900(x45571)))),f900(x45571)),f10(f900(x45571),f905(f900(x45571),f900(x45571)),f900(x45571))),f242(f900(x45571),f900(x45571)))),f317(f141(x45571),x45573)))),f156(x45571,x45572,x45574)),f156(x45571,x45572,f317(f317(f141(x45571),x45573),x45574)))
% 183.74/183.90 [3806]E(f317(f317(f165(x38061),x38062),f317(f317(f165(x38061),x38063),x38064)),f317(f317(f165(x38061),f317(f317(f228(a899),x38062),x38063)),x38064))
% 183.74/183.90 [3807]E(f317(f317(f128(x38071),x38072),f317(f317(f128(x38071),x38073),x38074)),f317(f317(f128(x38071),f317(f317(f74(a899),x38072),x38073)),x38074))
% 183.74/183.90 [3818]E(f317(f317(f124(x38181),f317(f317(f141(x38181),x38182),x38183)),x38184),f317(f317(f141(x38181),x38182),f317(f317(f124(x38181),x38183),x38184)))
% 183.74/183.90 [3819]E(f317(f317(f124(x38191),f317(f317(f124(x38191),x38192),x38193)),x38194),f317(f317(f124(x38191),x38192),f317(f317(f124(x38191),x38193),x38194)))
% 183.74/183.90 [3900]E(f317(f317(f154(x39001),f317(f317(f141(x39001),x39002),x39003)),x39004),f175(x39001,x39002,f317(f154(x39001),x39003),x39004))
% 183.74/183.90 [3909]E(f317(f317(f173(x39091,x39091),x39092),f317(f317(f173(x39091,x39091),x39093),x39094)),f317(f317(f173(x39091,x39091),f317(f317(f75(a899),x39093),x39092)),x39094))
% 183.74/183.90 [3936]E(f317(f317(f91(f906(x39361,a895)),x39362),f317(f317(f299(x39361),x39363),x39364)),f317(f317(f299(x39361),x39363),f317(f317(f91(f906(x39361,a895)),x39362),x39364)))
% 183.74/183.90 [3951]E(f317(f317(f317(f173(x39511,x39511),x39512),x39513),f317(x39513,x39514)),f317(x39513,f317(f317(f317(f173(x39511,x39511),x39512),x39513),x39514)))
% 183.74/183.90 [3960]E(f317(f317(f279(x39601,x39602,x39603),f178(f906(f905(x39601,x39602),a895))),x39604),f178(f906(f905(x39601,x39603),a895)))
% 183.74/183.90 [3974]E(f317(f317(f91(f906(x39741,a895)),f317(f317(f299(x39741),x39742),x39743)),x39744),f317(f317(f299(x39741),x39742),f317(f317(f91(f906(x39741,a895)),x39743),x39744)))
% 183.74/183.90 [3993]E(f317(f29(f905(x39931,x39932)),f317(f317(f244(x39931,x39932),x39933),f317(f18(f906(x39932,a895),x39931),x39934))),f317(f317(f75(a899),f317(f29(x39931),x39933)),f317(f29(x39932),x39934)))
% 183.74/183.90 [3999]E(f317(f317(f92(f906(x39991,a895)),f317(f317(f299(x39991),x39992),x39993)),f317(f317(f299(x39991),x39992),x39994)),f317(f317(f299(x39991),x39992),f317(f317(f92(f906(x39991,a895)),x39993),x39994)))
% 183.74/183.90 [4012]E(f317(f317(f91(f906(x40121,a895)),x40122),f317(f317(f91(f906(x40121,a895)),x40123),x40124)),f317(f317(f91(f906(x40121,a895)),x40123),f317(f317(f91(f906(x40121,a895)),x40122),x40124)))
% 183.74/183.90 [4013]E(f317(f317(f92(f906(x40131,a895)),x40132),f317(f317(f92(f906(x40131,a895)),x40133),x40134)),f317(f317(f92(f906(x40131,a895)),x40133),f317(f317(f92(f906(x40131,a895)),x40132),x40134)))
% 183.74/183.90 [4023]E(f58(x40231,x40232,f317(f317(f10(x40232,f906(x40232,x40232),x40231),x40233),x40234)),f317(f59(x40232,x40231,x40233),x40234))
% 183.74/183.90 [4032]E(f169(x40321,f317(f317(f144(f900(x40322),f900(x40321)),f317(f144(x40322,x40321),x40323)),x40324)),f317(f317(f144(f900(x40322),f900(x40321)),f317(f144(x40322,x40321),x40323)),f169(x40322,x40324)))
% 183.74/183.90 [4051]E(f317(f132(f900(x40511),f900(x40511),f124(x40511),f103(x40511)),f317(f317(f144(x40512,f900(x40511)),x40513),x40514)),f153(x40512,x40511,x40513,x40514))
% 183.74/183.90 [4108]E(f317(f67(x41081,x41081,x41081,f317(f317(f173(x41081,x41081),x41082),x41083)),f317(f317(f173(x41081,x41081),x41084),x41083)),f317(f317(f173(x41081,x41081),f317(f317(f74(a899),x41082),x41084)),x41083))
% 183.74/183.90 [4131]E(f317(f317(f92(f906(x41311,a895)),f317(f317(f3(f906(x41311,a895)),x41312),x41313)),f317(f317(f3(f906(x41311,a895)),x41312),x41314)),f317(f317(f3(f906(x41311,a895)),x41312),f317(f317(f91(f906(x41311,a895)),x41313),x41314)))
% 183.74/183.90 [4132]E(f317(f317(f91(f906(x41321,a895)),f317(f317(f3(f906(x41321,a895)),x41322),x41323)),f317(f317(f3(f906(x41321,a895)),x41322),x41324)),f317(f317(f3(f906(x41321,a895)),x41322),f317(f317(f92(f906(x41321,a895)),x41323),x41324)))
% 183.74/183.90 [4133]E(f317(f317(f92(f906(x41331,a895)),f317(f317(f91(f906(x41331,a895)),x41332),x41333)),f317(f317(f91(f906(x41331,a895)),x41332),x41334)),f317(f317(f91(f906(x41331,a895)),x41332),f317(f317(f92(f906(x41331,a895)),x41333),x41334)))
% 183.74/183.90 [4134]E(f317(f317(f3(f906(x41341,a895)),f317(f317(f92(f906(x41341,a895)),x41342),x41343)),f317(f317(f92(f906(x41341,a895)),x41342),x41344)),f317(f317(f92(f906(x41341,a895)),x41342),f317(f317(f3(f906(x41341,a895)),x41343),x41344)))
% 183.74/183.90 [4135]E(f317(f317(f91(f906(x41351,a895)),f317(f317(f92(f906(x41351,a895)),x41352),x41353)),f317(f317(f92(f906(x41351,a895)),x41352),x41354)),f317(f317(f92(f906(x41351,a895)),x41352),f317(f317(f91(f906(x41351,a895)),x41353),x41354)))
% 183.74/183.90 [4140]E(f317(f29(f905(x41401,x41402)),f317(f317(f244(x41401,x41402),f317(f317(f299(x41401),x41403),f178(f906(x41401,a895)))),f317(f18(f906(x41402,a895),x41401),x41404))),f317(f29(x41402),x41404))
% 183.74/183.90 [4175]E(f317(f317(f35(x41751,f906(x41752,a895)),x41753),f317(f317(f10(f906(x41752,a895),f906(x41752,a895),x41751),f73(f906(x41752,a895))),x41754)),f317(f73(f906(x41752,a895)),f317(f317(f34(x41751,f906(x41752,a895)),x41753),x41754)))
% 183.74/183.90 [4176]E(f317(f317(f34(x41761,f906(x41762,a895)),x41763),f317(f317(f10(f906(x41762,a895),f906(x41762,a895),x41761),f73(f906(x41762,a895))),x41764)),f317(f73(f906(x41762,a895)),f317(f317(f35(x41761,f906(x41762,a895)),x41763),x41764)))
% 183.74/183.90 [4192]E(f317(f317(f279(x41921,x41921,x41921),f317(f317(f173(f905(x41921,x41921),a895),x41922),x41923)),f317(f317(f173(f905(x41921,x41921),a895),x41924),x41923)),f317(f317(f173(f905(x41921,x41921),a895),f317(f317(f74(a899),x41922),x41924)),x41923))
% 183.74/183.90 [4222]E(f317(f317(f34(x42221,f906(f906(x42222,a895),a895)),x42223),f317(f317(f10(f906(x42222,a895),f906(f906(x42222,a895),a895),x42221),f298(x42222)),x42224)),f317(f298(x42222),f317(f317(f34(x42221,f906(x42222,a895)),x42223),x42224)))
% 183.74/183.90 [4251]E(f317(f317(f34(f906(x42511,a895),f906(x42512,a895)),x42513),f317(f317(f9(f906(x42511,a895),f906(x42511,f906(x42512,a895)),f906(x42512,a895)),f34(x42511,f906(x42512,a895))),x42514)),f317(f317(f34(x42511,f906(x42512,a895)),f31(f906(x42511,a895),x42513)),x42514))
% 183.74/183.90 [4252]E(f317(f317(f35(f906(x42521,a895),f906(x42522,a895)),x42523),f317(f317(f9(f906(x42521,a895),f906(x42521,f906(x42522,a895)),f906(x42522,a895)),f35(x42521,f906(x42522,a895))),x42524)),f317(f317(f35(x42521,f906(x42522,a895)),f31(f906(x42521,a895),x42523)),x42524))
% 183.74/183.90 [4257]E(f317(f317(f144(x42571,x42572),x42573),f317(f132(f900(x42571),f900(x42571),f124(x42571),f103(x42571)),x42574)),f317(f132(f900(x42572),f900(x42572),f124(x42572),f103(x42572)),f317(f317(f144(f900(x42571),f900(x42572)),f317(f144(x42571,x42572),x42573)),x42574)))
% 183.74/183.90 [4259]E(f175(f900(x42591),f103(x42591),f317(f317(f10(f900(x42591),f900(x42591),a899),f317(f141(x42591),x42592)),f317(f317(f9(a899,f900(x42591),f900(x42591)),f165(x42591)),x42593)),x42594),f317(f317(f165(x42591),x42594),f317(f317(f141(x42591),x42592),x42593)))
% 183.74/183.90 [4297]P1(f317(f317(f224(f906(x42971,a895)),f317(f300(x42972,x42971,x42973),f317(f301(x42972,x42971,x42973),x42974))),x42974))
% 183.74/183.90 [4299]E(f317(f300(f905(x42991,x42992),f905(x42992,x42991),f317(f247(x42991,x42992,f905(x42992,x42991)),f317(f9(x42992,x42991,f905(x42992,x42991)),f242(x42992,x42991)))),f317(f317(f244(x42991,x42992),x42993),f317(f18(f906(x42992,a895),x42991),x42994))),f317(f317(f244(x42992,x42991),x42994),f317(f18(f906(x42991,a895),x42992),x42993)))
% 183.74/183.90 [4308]E(f317(f317(f35(x43081,f906(x43082,a895)),x43083),f317(f317(f10(f906(x43081,a895),f906(x43082,a895),x43081),f275(x43081,x43082,x43084)),f317(f317(f9(x43081,f906(x43081,a895),f906(x43081,a895)),f299(x43081)),f178(f906(x43081,a895))))),f317(f275(x43081,x43082,x43084),x43083))
% 183.74/183.90 [4309]E(f317(f317(f35(x43091,f906(x43092,a895)),x43093),f317(f317(f10(f906(x43091,a895),f906(x43092,a895),x43091),f301(x43092,x43091,x43094)),f317(f317(f9(x43091,f906(x43091,a895),f906(x43091,a895)),f299(x43091)),f178(f906(x43091,a895))))),f317(f301(x43092,x43091,x43094),x43093))
% 183.74/183.90 [4396]E(f317(f317(f92(f906(x43961,a895)),f317(f317(f92(f906(x43961,a895)),f317(f317(f91(f906(x43961,a895)),x43962),x43963)),f317(f317(f91(f906(x43961,a895)),x43963),x43964))),f317(f317(f91(f906(x43961,a895)),x43964),x43962)),f317(f317(f91(f906(x43961,a895)),f317(f317(f91(f906(x43961,a895)),f317(f317(f92(f906(x43961,a895)),x43962),x43963)),f317(f317(f92(f906(x43961,a895)),x43963),x43964))),f317(f317(f92(f906(x43961,a895)),x43964),x43962)))
% 183.74/183.90 [4459]E(f317(f132(f900(x44591),f900(x44591),f124(x44591),f103(x44591)),f317(f317(f144(x44592,f900(x44591)),f317(f317(f9(x44592,f900(x44591),f900(x44591)),f317(f317(f10(x44591,f906(f900(x44591),f900(x44591)),x44592),f141(x44591)),x44593)),f103(x44591))),x44594)),f317(f317(f144(x44592,x44591),x44593),x44594))
% 183.74/183.90 [4469]E(f317(f317(f80(a1,x44691),f317(f94(a1),f317(f317(f74(a1),x44692),a87))),f317(f317(f20(a1,x44691,x44691),f317(f317(f9(a1,x44691,f906(x44691,x44691)),f317(f317(f10(a895,f906(x44691,f906(x44691,x44691)),a1),f86(x44691)),a183)),x44693)),f317(f317(f10(a899,x44691,a1),x44694),a95))),f175(x44691,x44693,x44694,f317(f94(a899),x44692)))
% 183.74/183.90 [4500]E(f317(f252(x45001),f317(f317(f10(f906(x45002,a895),a895,x45001),f81(x45002)),f317(f317(f10(f906(x45002,a895),f906(x45002,a895),x45001),f317(f20(x45002,a895,a895),f317(f317(f10(a895,f906(a895,a895),x45002),a315),f317(f317(f9(x45002,f906(x45002,a895),a895),f319(x45002)),x45003)))),f317(f9(x45002,x45001,a895),x45004)))),f317(f275(x45002,x45001,f317(f252(f905(x45002,x45001)),f317(f247(x45002,x45001,a895),x45004))),x45003))
% 183.74/183.90 [4635]~P1(f317(f317(f178(f906(x46351,f906(x46352,a895))),x46353),x46354))
% 183.74/183.90 [3963]E(f317(f317(f154(x39631),f317(f317(f124(x39631),x39632),x39633)),f317(f317(f74(a899),f317(f179(f900(x39631)),x39632)),x39634)),f317(f317(f154(x39631),x39633),x39634))
% 183.74/183.90 [3968]E(f317(f317(f128(x39681),x39682),f317(f317(f165(x39681),f317(f317(f74(a899),x39683),x39682)),x39684)),f317(f317(f165(x39681),x39683),f317(f317(f128(x39681),x39682),x39684)))
% 183.74/183.90 [4065]E(f317(f317(f91(f906(x40651,a895)),f317(f274(x40652,x40651),x40653)),f317(f274(x40652,x40651),x40654)),f317(f274(x40652,x40651),f317(f317(f91(f906(f905(x40652,x40651),a895)),x40653),x40654)))
% 183.74/183.90 [4066]E(f317(f317(f91(f906(x40661,a895)),f317(f254(x40661,x40662),x40663)),f317(f254(x40661,x40662),x40664)),f317(f254(x40661,x40662),f317(f317(f91(f906(f905(x40661,x40662),a895)),x40663),x40664)))
% 183.74/183.90 [4071]E(f317(f317(f3(f906(x40711,a895)),f317(f317(f92(f906(x40711,a895)),x40712),x40713)),x40714),f317(f317(f92(f906(x40711,a895)),x40712),f317(f317(f3(f906(x40711,a895)),x40713),x40714)))
% 183.74/183.90 [4072]E(f317(f317(f91(f906(x40721,a895)),f317(f317(f91(f906(x40721,a895)),x40722),x40723)),x40724),f317(f317(f91(f906(x40721,a895)),x40722),f317(f317(f91(f906(x40721,a895)),x40723),x40724)))
% 183.74/183.90 [4073]E(f317(f317(f92(f906(x40731,a895)),f317(f317(f92(f906(x40731,a895)),x40732),x40733)),x40734),f317(f317(f92(f906(x40731,a895)),x40732),f317(f317(f92(f906(x40731,a895)),x40733),x40734)))
% 183.74/183.90 [4110]E(f317(f317(f91(f906(f905(x41101,x41102),a895)),f317(f276(x41102,x41101),x41103)),f317(f276(x41102,x41101),x41104)),f317(f276(x41102,x41101),f317(f317(f91(f906(f905(x41102,x41101),a895)),x41103),x41104)))
% 183.74/183.90 [4111]E(f317(f317(f92(f906(f905(x41111,x41112),a895)),f317(f276(x41112,x41111),x41113)),f317(f276(x41112,x41111),x41114)),f317(f276(x41112,x41111),f317(f317(f92(f906(f905(x41112,x41111),a895)),x41113),x41114)))
% 183.74/183.90 [4124]E(f317(f317(f91(f906(x41241,f906(x41242,a895))),f233(x41242,x41241,x41243)),f233(x41242,x41241,x41244)),f233(x41242,x41241,f317(f317(f91(f906(x41242,f906(x41241,a895))),x41243),x41244)))
% 183.74/183.90 [4125]E(f317(f317(f92(f906(x41251,f906(x41252,a895))),f233(x41252,x41251,x41253)),f233(x41252,x41251,x41254)),f233(x41252,x41251,f317(f317(f92(f906(x41252,f906(x41251,a895))),x41253),x41254)))
% 183.74/183.90 [4179]E(f317(f317(f91(f906(x41791,a895)),f317(f317(f3(f906(x41791,a895)),x41792),x41793)),f317(f317(f3(f906(x41791,a895)),x41794),x41793)),f317(f317(f3(f906(x41791,a895)),f317(f317(f91(f906(x41791,a895)),x41792),x41794)),x41793))
% 183.74/183.90 [4180]E(f317(f317(f92(f906(x41801,a895)),f317(f317(f91(f906(x41801,a895)),x41802),x41803)),f317(f317(f91(f906(x41801,a895)),x41804),x41803)),f317(f317(f91(f906(x41801,a895)),f317(f317(f92(f906(x41801,a895)),x41802),x41804)),x41803))
% 183.74/183.90 [4181]E(f317(f317(f3(f906(x41811,a895)),f317(f317(f92(f906(x41811,a895)),x41812),x41813)),f317(f317(f92(f906(x41811,a895)),x41814),x41813)),f317(f317(f92(f906(x41811,a895)),f317(f317(f3(f906(x41811,a895)),x41812),x41814)),x41813))
% 183.74/183.90 [4182]E(f317(f317(f91(f906(x41821,a895)),f317(f317(f92(f906(x41821,a895)),x41822),x41823)),f317(f317(f92(f906(x41821,a895)),x41824),x41823)),f317(f317(f92(f906(x41821,a895)),f317(f317(f91(f906(x41821,a895)),x41822),x41824)),x41823))
% 183.74/183.90 [4183]E(f317(f317(f3(f906(x41831,a895)),f317(f317(f92(f906(x41831,a895)),x41832),x41833)),f317(f317(f92(f906(x41831,a895)),x41834),x41833)),f317(f317(f3(f906(x41831,a895)),f317(f317(f92(f906(x41831,a895)),x41832),x41833)),x41834))
% 183.74/183.90 [4195]E(f317(f317(f3(f906(x41951,a895)),f317(f317(f3(f906(x41951,a895)),x41952),f317(f317(f299(x41951),x41953),f178(f906(x41951,a895))))),x41954),f317(f317(f3(f906(x41951,a895)),x41952),f317(f317(f299(x41951),x41953),x41954)))
% 183.74/183.90 [4248]E(f317(f317(f91(f906(x42481,a895)),f317(f317(f299(x42481),x42482),f317(f317(f299(x42481),x42483),f178(f906(x42481,a895))))),f317(f271(x42481),x42484)),f317(f271(x42481),f317(f317(f299(f905(x42481,x42481)),f317(f317(f242(x42481,x42481),x42482),x42483)),x42484)))
% 183.74/183.90 [4273]E(f317(f317(f35(a899,f906(x42731,a895)),f317(f291(a899),x42732)),f317(f317(f10(a899,f906(x42731,a895),a899),x42733),f317(f317(f9(a899,a899,a899),f74(a899)),x42734))),f317(f317(f35(a899,f906(x42731,a895)),f293(a899,x42734,f317(f317(f74(a899),x42732),x42734))),x42733))
% 183.74/183.90 [4274]E(f164(x42741,f317(f275(x42741,x42741,x42742),f317(f317(f299(x42741),x42743),f178(f906(x42741,a895)))),f317(f275(f900(x42741),f900(x42741),f148(x42741,x42742)),f317(f317(f299(f900(x42741)),x42744),f178(f906(f900(x42741),a895))))),f317(f275(f900(x42741),f900(x42741),f148(x42741,x42742)),f317(f317(f299(f900(x42741)),f317(f317(f141(x42741),x42743),x42744)),f178(f906(f900(x42741),a895)))))
% 183.74/183.90 [4338]E(f317(f252(x43381),f317(f317(f9(x43381,f906(x43382,a895),a895),f317(f317(f10(x43382,f906(f906(x43382,a895),a895),x43381),f319(x43382)),x43383)),x43384)),f317(f301(x43381,x43382,x43383),x43384))
% 183.74/183.90 [4428]E(f317(f252(x44281),f317(f317(f9(x44281,f906(f905(x44282,x44281),a895),a895),f317(f317(f10(f905(x44282,x44281),f906(f906(f905(x44282,x44281),a895),a895),x44281),f319(f905(x44282,x44281))),f317(f242(x44282,x44281),x44283))),x44284)),f317(f275(x44282,x44281,x44284),f317(f317(f299(x44282),x44283),f178(f906(x44282,a895)))))
% 183.74/183.90 [4442]E(f317(f317(f144(f905(x44421,a899),x44421),f241(x44421,a899)),f317(f126(f905(x44421,a899),f317(f317(f10(a899,a895,f905(x44421,a899)),x44422),f317(f317(f10(a899,a899,f905(x44421,a899)),a102),f246(x44421,a899)))),f317(f317(f171(x44421,a899),x44423),x44424))),f317(f317(f144(f905(x44421,a899),x44421),f241(x44421,a899)),f317(f126(f905(x44421,a899),f317(f317(f10(a899,a895,f905(x44421,a899)),x44422),f246(x44421,a899))),f317(f317(f171(x44421,a899),x44423),f317(f317(f144(a899,a899),a102),x44424)))))
% 183.74/183.90 [4451]P1(f317(f317(f224(f906(f906(x44511,a895),a895)),f317(f317(f35(x44512,f906(f906(x44511,a895),a895)),x44513),f317(f317(f10(f906(x44511,a895),f906(f906(x44511,a895),a895),x44512),f298(x44511)),x44514))),f317(f298(x44511),f317(f317(f35(x44512,f906(x44511,a895)),x44513),x44514))))
% 183.74/183.90 [4492]E(f317(f317(f80(a1,x44921),f317(f94(a1),f317(f317(f74(a1),x44922),a87))),f317(f317(f20(a1,x44921,x44921),f317(f317(f9(a1,x44921,f906(x44921,x44921)),f317(f317(f10(a895,f906(x44921,f906(x44921,x44921)),a1),f86(x44921)),a183)),x44923)),f317(f317(f20(a1,x44921,x44921),f317(f317(f10(a899,f906(x44921,x44921),a1),x44924),a95)),f317(f317(f10(a899,x44921,a1),f174(x44921,x44923,x44924)),a95)))),f317(f174(x44921,x44923,x44924),f317(f94(a899),x44922)))
% 183.74/183.90 [4516]E(f317(f252(f905(x45161,x45162)),f317(f247(x45161,x45162,a895),f317(f317(f9(x45161,f906(x45162,a895),f906(x45162,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x45162,a895),f906(x45162,a895)),x45161),f10(a895,a895,x45162)),f317(f317(f10(a895,f906(a895,a895),x45161),a315),f317(f317(f9(x45161,f906(x45161,a895),a895),f319(x45161)),x45163)))),f317(f317(f9(x45162,f906(x45162,a895),a895),f319(x45162)),x45164)))),f219(x45161,x45162,x45163,x45164))
% 183.74/183.90 [4552]E(f317(f317(f35(x45521,f906(f905(x45521,x45522),a895)),x45523),f317(f317(f20(x45521,f906(x45522,f906(f905(x45521,x45522),a895)),f906(f905(x45521,x45522),a895)),f317(f317(f10(f906(x45522,a895),f906(f906(x45522,f906(f905(x45521,x45522),a895)),f906(f905(x45521,x45522),a895)),x45521),f35(x45522,f906(f905(x45521,x45522),a895))),x45524)),f317(f317(f9(x45521,f906(f905(x45521,x45522),a895),f906(x45522,f906(f905(x45521,x45522),a895))),f317(f317(f10(f906(x45522,f906(f906(f905(x45521,x45522),a895),f906(f905(x45521,x45522),a895))),f906(f906(f905(x45521,x45522),a895),f906(x45522,f906(f905(x45521,x45522),a895))),x45521),f9(x45522,f906(f905(x45521,x45522),a895),f906(f905(x45521,x45522),a895))),f317(f317(f10(f906(x45522,f905(x45521,x45522)),f906(x45522,f906(f906(f905(x45521,x45522),a895),f906(f905(x45521,x45522),a895))),x45521),f317(f10(f905(x45521,x45522),f906(f906(f905(x45521,x45522),a895),f906(f905(x45521,x45522),a895)),x45522),f299(f905(x45521,x45522)))),f242(x45521,x45522)))),f178(f906(f905(x45521,x45522),a895))))),f317(f317(f244(x45521,x45522),x45523),x45524))
% 183.74/183.90 [4119]E(f317(f317(f124(x41191),f317(f317(f165(x41191),x41192),x41193)),f317(f317(f165(x41191),f317(f317(f3(a899),x41192),f317(f179(f900(x41191)),x41193))),x41194)),f317(f317(f165(x41191),x41192),f317(f317(f124(x41191),x41193),x41194)))
% 183.74/183.90 [4120]E(f317(f317(f124(x41201),f317(f317(f128(x41201),x41202),x41203)),f317(f317(f128(x41201),f317(f317(f3(a899),x41202),f317(f179(f900(x41201)),x41203))),x41204)),f317(f317(f128(x41201),x41202),f317(f317(f124(x41201),x41203),x41204)))
% 183.74/183.90 [4169]E(f317(f317(f74(a899),f317(f317(f75(a899),x41691),x41692)),f317(f317(f74(a899),f317(f317(f75(a899),x41693),x41692)),x41694)),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f74(a899),x41691),x41693)),x41692)),x41694))
% 183.74/183.90 [4314]E(f84(x43141,f317(f317(f9(x43141,x43142,a895),f317(f317(f10(x43142,f906(x43142,a895),x43141),a314),x43143)),x43144)),f317(f85(x43141,x43142,f232(f906(x43141,a895)),x43143),x43144))
% 183.74/183.90 [4362]P1(f317(f317(f224(f906(x43621,a895)),f317(f317(f3(f906(x43621,a895)),f317(f274(x43622,x43621),x43623)),f317(f274(x43622,x43621),x43624))),f317(f274(x43622,x43621),f317(f317(f3(f906(f905(x43622,x43621),a895)),x43623),x43624))))
% 183.74/183.90 [4363]P1(f317(f317(f224(f906(x43631,a895)),f317(f317(f3(f906(x43631,a895)),f317(f254(x43631,x43632),x43633)),f317(f254(x43631,x43632),x43634))),f317(f254(x43631,x43632),f317(f317(f3(f906(f905(x43631,x43632),a895)),x43633),x43634))))
% 183.74/183.90 [4471]E(f317(f317(f74(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x44711),x44712)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x44713),x44714)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),f317(f317(f74(a899),x44711),x44713)),f317(f317(f74(a899),x44712),x44714))),f178(f906(f905(a899,a899),a895))))))
% 183.74/183.90 [4511]E(f317(f317(f75(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x45111),x45112)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x45113),x45114)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),f317(f317(f74(a899),f317(f317(f75(a899),x45111),x45113)),f317(f317(f75(a899),x45112),x45114))),f317(f317(f74(a899),f317(f317(f75(a899),x45111),x45114)),f317(f317(f75(a899),x45112),x45113)))),f178(f906(f905(a899,a899),a895))))))
% 183.74/183.90 [4532]E(f317(f252(x45321),f317(f317(f10(f906(x45322,a895),a895,x45321),f82(x45322)),f317(f317(f10(f906(x45322,a895),f906(x45322,a895),x45321),f317(f20(x45322,a895,a895),f317(f317(f10(a895,f906(a895,a895),x45322),a320),f317(f317(f9(x45322,f906(x45322,a895),a895),f319(x45322)),x45323)))),f317(f317(f9(x45321,f906(x45322,f906(x45321,a895)),f906(x45322,a895)),f317(f317(f10(f906(f906(x45321,a895),a895),f906(f906(x45322,f906(x45321,a895)),f906(x45322,a895)),x45321),f10(f906(x45321,a895),a895,x45322)),f319(x45321))),x45324)))),f317(f317(f34(x45322,f906(x45321,a895)),x45323),x45324))
% 183.74/183.90 [4564]E(f317(f317(f279(x45641,x45641,x45641),f317(f317(f299(f905(x45641,x45641)),f317(f317(f242(x45641,x45641),x45642),x45643)),x45644)),f297(x45641,f317(f317(f299(f905(x45641,x45641)),f317(f317(f242(x45641,x45641),x45642),x45643)),x45644))),f317(f317(f91(f906(f905(x45641,x45641),a895)),f317(f317(f279(x45641,x45641,x45641),x45644),f297(x45641,x45644))),f317(f252(f905(x45641,x45641)),f317(f247(x45641,x45641,a895),f317(f317(f9(x45641,f906(x45641,a895),f906(x45641,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x45641,a895),f906(x45641,a895)),x45641),f10(a895,a895,x45641)),f317(f317(f10(a895,f906(a895,a895),x45641),a315),f317(f317(f9(x45641,f906(f905(x45641,x45641),a895),a895),f317(f317(f10(f905(x45641,x45641),f906(f906(f905(x45641,x45641),a895),a895),x45641),f319(f905(x45641,x45641))),f317(f317(f9(x45641,x45641,f905(x45641,x45641)),f242(x45641,x45641)),x45642))),f297(x45641,x45644))))),f317(f317(f9(x45641,f906(f905(x45641,x45641),a895),a895),f317(f317(f10(f905(x45641,x45641),f906(f906(f905(x45641,x45641),a895),a895),x45641),f319(f905(x45641,x45641))),f317(f242(x45641,x45641),x45643))),f297(x45641,x45644)))))))
% 183.74/183.90 [4364]E(f317(f126(x43641,f317(f317(f20(x43641,a895,a895),f317(f317(f10(a895,f906(a895,a895),x43641),a315),x43642)),x43643)),x43644),f317(f126(x43641,x43643),f317(f126(x43641,x43642),x43644)))
% 183.74/183.90 [4465]E(f317(f317(f124(x44651),f317(f317(f317(f86(f900(x44651)),f317(f317(f319(a899),f2(a899)),x44652)),f317(f317(f141(x44651),x44653),f103(x44651))),f103(x44651))),f166(x44651,x44654,f317(f252(a899),f317(f317(f9(a899,f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),a899),f319(a899)),a102)),x44652)))),f166(x44651,f317(f317(f141(x44651),x44653),x44654),x44652))
% 183.74/183.90 [4560]E(f317(f252(f905(x45601,x45602)),f317(f317(f10(f906(a899,a895),a895,f905(x45601,x45602)),f81(a899)),f317(f317(f9(f905(x45601,x45602),f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),f905(x45601,x45602)),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),f905(x45601,x45602)),f317(f10(a895,f906(a895,a895),a899),a315)),f317(f317(f9(f905(x45601,x45602),f906(a899,f905(x45601,x45602)),f906(a899,a895)),f317(f317(f10(f906(f905(x45601,x45602),a895),f906(f906(a899,f905(x45601,x45602)),f906(a899,a895)),f905(x45601,x45602)),f10(f905(x45601,x45602),a895,a899)),a314)),f317(f317(f20(a899,x45602,f905(x45601,x45602)),f317(f317(f10(x45601,f906(x45602,f905(x45601,x45602)),a899),f242(x45601,x45602)),f317(f154(x45601),x45603))),f317(f154(x45602),x45604)))))),f317(f317(f9(a899,a899,a895),f225(a899)),f317(f317(f228(a899),f317(f179(f900(x45601)),x45603)),f317(f179(f900(x45602)),x45604)))))),f317(f162(f905(x45601,x45602)),f317(f317(f171(x45601,x45602),x45603),x45604)))
% 183.74/183.90 [4484]E(f317(f252(f905(x44841,x44842)),f317(f247(x44841,x44842,a895),f317(f317(f9(x44841,f906(x44842,a895),f906(x44842,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x44842,a895),f906(x44842,a895)),x44841),f10(a895,a895,x44842)),f317(f317(f10(a895,f906(a895,a895),x44841),a315),x44843))),x44844))),f317(f317(f244(x44841,x44842),f317(f252(x44841),x44843)),f317(f18(f906(x44842,a895),x44841),f317(f252(x44842),x44844))))
% 183.74/183.90 [4487]E(f317(f252(f905(x44871,x44872)),f317(f247(x44871,x44872,a895),f317(f317(f20(x44871,f906(x44872,a895),f906(x44872,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x44872,a895),f906(x44872,a895)),x44871),f10(a895,a895,x44872)),f317(f317(f10(a895,f906(a895,a895),x44871),a315),x44873))),x44874))),f317(f317(f244(x44871,x44872),f317(f252(x44871),x44873)),f317(f317(f10(f906(x44872,a895),f906(x44872,a895),x44871),f252(x44872)),x44874)))
% 183.74/183.90 [4499]E(f317(f252(x44991),f317(f317(f10(f906(x44992,a895),a895,x44991),f82(x44992)),f317(f317(f10(f906(x44992,a895),f906(x44992,a895),x44991),f317(f20(x44992,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44992),a320),f317(f317(f9(x44992,f906(x44992,a895),a895),f319(x44992)),x44993)))),x44994))),f317(f317(f34(x44992,f906(x44991,a895)),x44993),f317(f317(f10(f906(x44991,a895),f906(x44991,a895),x44992),f252(x44991)),f317(f9(x44991,x44992,a895),x44994))))
% 183.74/183.90 [4544]E(f317(f317(f144(f905(x45441,a899),x45441),f241(x45441,a899)),f317(f126(f905(x45441,a899),f317(f317(f9(f905(x45441,a899),f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),f905(x45441,a899)),f319(a899)),f246(x45441,a899))),x45442)),f317(f317(f171(x45441,a899),x45443),f129(a899,f317(f292(a899,x45444),f317(f317(f74(a899),x45444),f317(f179(f900(x45441)),x45443))))))),f317(f317(f144(f905(x45441,a899),x45441),f241(x45441,a899)),f317(f126(f905(x45441,a899),f317(f317(f9(f905(x45441,a899),f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),f905(x45441,a899)),f319(a899)),f317(f317(f9(f905(x45441,a899),a899,a899),f317(f317(f10(a899,f906(a899,a899),f905(x45441,a899)),f74(a899)),f246(x45441,a899))),x45444))),x45442)),f317(f317(f171(x45441,a899),x45443),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(x45441)),x45443)))))))
% 183.74/183.90 [4545]E(f317(a102,f317(f317(f223(a899),f317(f179(f900(x45451)),x45452)),f317(f132(a899,f900(x45453),f317(f9(f900(x45453),a899,a899),f317(f317(f10(a899,f906(a899,a899),f900(x45453)),f223(a899)),f317(f317(f9(f900(x45453),a899,a899),f317(f317(f10(a899,f906(a899,a899),f900(x45453)),f3(a899)),f179(f900(x45453)))),f317(a102,f2(a899))))),f2(a899)),f317(f158(f900(x45453)),f317(f126(f900(x45453),f317(f317(f10(a895,a895,f900(x45453)),a312),f317(f317(f9(f900(x45453),f900(x45453),a895),a314),f103(x45453)))),x45454))))),f317(f317(f223(a899),f317(a102,f317(f179(f900(x45451)),x45452))),f317(f132(a899,f900(x45453),f317(f9(f900(x45453),a899,a899),f317(f317(f10(a899,f906(a899,a899),f900(x45453)),f223(a899)),f179(f900(x45453)))),f2(a899)),f317(f158(f900(x45453)),x45454))))
% 183.74/183.90 [4498]E(f317(f317(f124(x44981),f166(x44981,x44982,x44983)),f166(x44981,x44984,f317(f252(a899),f317(f317(f9(a899,f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),a899),f319(a899)),f317(f317(f9(a899,a899,a899),f74(a899)),f317(f179(f900(x44981)),x44982)))),x44983)))),f166(x44981,f317(f317(f124(x44981),x44982),x44984),x44983))
% 183.74/183.90 [4546]E(f32(f906(x45461,a895),f317(f252(f906(x45461,a895)),f317(f317(f10(f906(x45462,a895),a895,f906(x45461,a895)),f81(x45462)),f317(f317(f10(f906(x45462,a895),f906(x45462,a895),f906(x45461,a895)),f317(f20(x45462,a895,a895),f317(f317(f10(a895,f906(a895,a895),x45462),a315),f317(f317(f9(x45462,f906(x45462,a895),a895),f319(x45462)),x45463)))),f317(f317(f9(f906(x45461,a895),f906(x45462,f906(x45461,a895)),f906(x45462,a895)),f317(f317(f10(f906(f906(x45461,a895),a895),f906(f906(x45462,f906(x45461,a895)),f906(x45462,a895)),f906(x45461,a895)),f10(f906(x45461,a895),a895,x45462)),a314)),x45464))))),f317(f317(f34(x45462,f906(x45461,a895)),x45463),x45464))
% 183.74/183.90 [4547]E(f31(f906(x45471,a895),f317(f252(f906(x45471,a895)),f317(f317(f10(f906(x45472,a895),a895,f906(x45471,a895)),f81(x45472)),f317(f317(f10(f906(x45472,a895),f906(x45472,a895),f906(x45471,a895)),f317(f20(x45472,a895,a895),f317(f317(f10(a895,f906(a895,a895),x45472),a315),f317(f317(f9(x45472,f906(x45472,a895),a895),f319(x45472)),x45473)))),f317(f317(f9(f906(x45471,a895),f906(x45472,f906(x45471,a895)),f906(x45472,a895)),f317(f317(f10(f906(f906(x45471,a895),a895),f906(f906(x45472,f906(x45471,a895)),f906(x45472,a895)),f906(x45471,a895)),f10(f906(x45471,a895),a895,x45472)),a314)),x45474))))),f317(f317(f35(x45472,f906(x45471,a895)),x45473),x45474))
% 183.74/183.90 [4554]E(f317(f317(f141(f900(x45541)),f317(f317(f141(x45541),x45542),f317(f132(f900(x45541),f900(x45541),f124(x45541),f103(x45541)),f317(f317(f144(f900(x45541),f900(x45541)),f146(f900(x45541),x45541,f103(x45541),f317(f317(f10(f900(x45541),f906(f900(x45541),f900(x45541)),x45541),f18(f900(x45541),f900(x45541))),f317(f317(f9(x45541,f900(x45541),f900(x45541)),f141(x45541)),f103(x45541))))),x45543)))),f169(x45541,f317(f317(f141(f900(x45541)),x45544),f317(f132(f900(f900(x45541)),f900(f900(x45541)),f124(f900(x45541)),f103(f900(x45541))),f317(f317(f144(f900(x45541),f900(f900(x45541))),f146(f900(f900(x45541)),x45541,f103(f900(x45541)),f317(f18(f906(f900(x45541),f900(f900(x45541))),x45541),f317(f317(f9(f900(x45541),f900(f900(x45541)),f900(f900(x45541))),f141(f900(x45541))),f103(f900(x45541)))))),x45543))))),f169(x45541,f317(f317(f141(f900(x45541)),f317(f317(f141(x45541),x45542),x45544)),x45543)))
% 183.74/183.90 [4561]E(f317(f252(f905(x45611,x45611)),f317(f247(x45611,x45611,a895),f317(f317(f9(x45611,f906(f905(x45612,x45612),a895),f906(x45611,a895)),f317(f317(f10(f906(x45611,f906(f906(f905(x45612,x45612),a895),a895)),f906(f906(f905(x45612,x45612),a895),f906(x45611,a895)),x45611),f9(x45611,f906(f905(x45612,x45612),a895),a895)),f317(f317(f10(f906(x45611,f905(x45612,x45612)),f906(x45611,f906(f906(f905(x45612,x45612),a895),a895)),x45611),f317(f10(f905(x45612,x45612),f906(f906(f905(x45612,x45612),a895),a895),x45611),f319(f905(x45612,x45612)))),f317(f317(f9(x45611,f906(x45611,x45612),f906(x45611,f905(x45612,x45612))),f317(f317(f10(f906(x45612,f905(x45612,x45612)),f906(f906(x45611,x45612),f906(x45611,f905(x45612,x45612))),x45611),f10(x45612,f905(x45612,x45612),x45611)),f317(f317(f10(x45612,f906(x45612,f905(x45612,x45612)),x45611),f242(x45612,x45612)),x45613))),x45613)))),x45614))),f317(f317(f278(x45612,x45611),x45614),x45613))
% 183.74/183.90 [3703]E(f317(f317(f144(x37031,x37032),x37033),f159(x37031,x37034,x37035)),f159(x37032,x37034,f317(x37033,x37035)))
% 183.74/183.90 [4033]E(f120(x40331,x40332,x40333,f116(x40331,x40334,x40335)),f116(x40332,f317(x40333,x40334),f120(x40331,x40332,x40333,x40335)))
% 183.74/183.90 [4263]E(f317(f69(x42631,x42632,x42633,x42634,x42635),x42634),x42635)
% 183.74/183.90 [4315]E(f243(x43151,x43152,x43153,f233(x43152,x43151,x43154),f233(x43153,x43152,x43155)),f233(x43153,x43151,f243(x43153,x43152,x43151,x43155,x43154)))
% 183.74/183.90 [3894]E(f317(f317(f247(x38941,x38942,x38943),x38944),x38945),f317(f317(x38944,f317(f241(x38941,x38942),x38945)),f317(f246(x38941,x38942),x38945)))
% 183.74/183.90 [3928]E(f317(f317(f317(f59(x39281,x39282,x39283),x39284),x39285),f178(f906(x39282,a895))),x39285)
% 183.74/183.90 [4203]E(f317(f67(f900(x42031),f900(x42032),f900(x42033),f317(f144(x42031,x42032),x42034)),f317(f144(x42033,x42031),x42035)),f317(f144(x42033,x42032),f317(f67(x42031,x42032,x42033,x42034),x42035)))
% 183.74/183.90 [4277]E(f79(x42771,f60(x42772,x42771,x42773,x42774,x42775)),f317(f317(f58(x42772,x42771,x42773),x42774),x42775))
% 183.74/183.90 [4311]E(f317(f317(f74(a899),f317(f317(f74(a899),f317(x43111,f317(f241(x43112,x43113),x43114))),f317(x43115,f317(f246(x43112,x43113),x43114)))),f317(a102,f2(a899))),f251(x43112,x43113,x43111,x43115,x43114))
% 183.74/183.90 [3831]E(f317(f317(f165(x38311),x38312),f317(f317(f144(x38313,x38311),x38314),x38315)),f317(f317(f144(x38313,x38311),x38314),f317(f317(f165(x38313),x38312),x38315)))
% 183.74/183.90 [3832]E(f317(f317(f128(x38321),x38322),f317(f317(f144(x38323,x38321),x38324),x38325)),f317(f317(f144(x38323,x38321),x38324),f317(f317(f128(x38323),x38322),x38325)))
% 183.74/183.90 [3863]E(f317(f317(f144(x38631,x38632),x38633),f317(f317(f141(x38631),x38634),x38635)),f317(f317(f141(x38632),f317(x38633,x38634)),f317(f317(f144(x38631,x38632),x38633),x38635)))
% 183.74/183.90 [3924]E(f317(f300(x39241,x39242,x39243),f317(f317(f299(x39241),x39244),x39245)),f317(f317(f299(x39242),f317(x39243,x39244)),f317(f300(x39241,x39242,x39243),x39245)))
% 183.74/183.90 [3952]E(f163(x39521,f317(f317(f141(x39521),x39522),x39523),f317(f317(f141(x39521),x39524),x39525)),f317(f317(f141(x39521),x39522),f317(f317(f141(x39521),x39524),f163(x39521,x39523,x39525))))
% 183.74/183.90 [3988]E(f317(f317(f171(x39881,x39882),f317(f317(f165(x39881),x39883),x39884)),f317(f317(f165(x39882),x39883),x39885)),f317(f317(f165(f905(x39881,x39882)),x39883),f317(f317(f171(x39881,x39882),x39884),x39885)))
% 183.74/183.90 [3989]E(f317(f317(f171(x39891,x39892),f317(f317(f128(x39891),x39893),x39894)),f317(f317(f128(x39892),x39893),x39895)),f317(f317(f128(f905(x39891,x39892)),x39893),f317(f317(f171(x39891,x39892),x39894),x39895)))
% 183.74/183.90 [3998]E(f317(f317(f149(x39981,f317(f317(f141(x39981),x39982),x39983)),f317(a102,x39984)),x39985),f317(f317(f141(x39981),x39982),f317(f317(f149(x39981,x39983),x39984),x39985)))
% 183.74/183.90 [4001]E(f317(f317(f124(x40011),f317(f317(f144(x40012,x40011),x40013),x40014)),f317(f317(f144(x40012,x40011),x40013),x40015)),f317(f317(f144(x40012,x40011),x40013),f317(f317(f124(x40012),x40014),x40015)))
% 183.74/183.90 [4005]E(f317(f317(x40051,x40052),f317(f317(f235(x40053,x40054,x40051),x40052),x40055)),f317(f317(f235(x40053,x40054,x40051),x40052),f317(a102,x40055)))
% 183.74/183.90 [4037]E(f153(x40371,x40372,x40373,f317(f317(f141(x40371),x40374),x40375)),f317(f317(f124(x40372),f317(x40373,x40374)),f153(x40371,x40372,x40373,x40375)))
% 183.74/183.90 [4049]E(f317(f317(f279(x40491,x40492,x40493),f317(f276(x40492,x40491),x40494)),f317(f276(x40493,x40492),x40495)),f317(f276(x40493,x40491),f317(f317(f279(x40493,x40492,x40491),x40495),x40494)))
% 183.74/183.90 [4081]E(f317(f317(f317(f173(f900(x40811),f900(x40811)),x40812),f157(x40811)),f317(f317(f144(x40813,x40811),x40814),x40815)),f317(f317(f144(x40813,x40811),x40814),f317(f317(f317(f173(f900(x40813),f900(x40813)),x40812),f157(x40813)),x40815)))
% 183.74/183.90 [4082]E(f317(f317(f249(x40821,x40822,x40821,x40823),f317(f242(x40822,x40821),x40824)),x40825),f317(x40825,x40824))
% 183.74/183.90 [4105]E(f145(x41051,x41052,f317(f317(f144(x41053,x41051),x41054),x41055)),f145(x41053,f317(f67(x41051,a899,x41053,x41052),x41054),x41055))
% 183.74/183.90 [4168]E(f167(f905(x41681,x41682),f317(f67(x41682,a895,f905(x41681,x41682),x41683),f246(x41681,x41682)),f317(f317(f171(x41681,x41682),x41684),x41685)),f317(f317(f171(x41681,x41682),x41684),f167(x41682,x41683,x41685)))
% 183.74/183.90 [4173]E(f317(f300(x41731,x41732,f317(f317(f10(x41733,x41732,x41731),x41734),x41735)),f232(f906(x41731,a895))),f317(f300(x41733,x41732,x41734),f317(f300(x41731,x41733,x41735),f232(f906(x41731,a895)))))
% 183.74/183.90 [4186]E(f167(f905(x41861,x41862),f317(f67(x41861,a895,f905(x41861,x41862),x41863),f241(x41861,x41862)),f317(f317(f171(x41861,x41862),x41864),x41865)),f317(f317(f171(x41861,x41862),f167(x41861,x41863,x41864)),x41865))
% 183.74/183.90 [4207]E(f317(f317(f91(f906(x42071,a895)),f317(f301(x42071,x42072,x42073),f317(f317(f299(x42072),x42074),f178(f906(x42072,a895))))),f317(f301(x42071,x42072,x42073),x42075)),f317(f301(x42071,x42072,x42073),f317(f317(f299(x42072),x42074),x42075)))
% 183.74/183.90 [4262]E(f317(f317(f124(f905(x42621,x42622)),f317(f317(f144(x42622,f905(x42621,x42622)),f317(f242(x42621,x42622),x42623)),x42624)),f54(x42621,x42622,x42625,x42624)),f54(x42621,x42622,f317(f317(f141(x42621),x42623),x42625),x42624))
% 183.74/183.90 [4264]E(f317(f317(f144(x42641,x42642),x42643),f167(x42641,f317(f67(x42642,a895,x42641,x42644),x42643),x42645)),f167(x42642,x42644,f317(f317(f144(x42641,x42642),x42643),x42645)))
% 183.74/183.90 [4269]E(f317(f132(x42691,x42692,f317(f9(x42692,x42691,x42691),f317(f9(x42691,x42692,x42691),x42693)),x42694),f317(f158(x42692),f317(f158(x42692),x42695))),f317(f132(x42691,x42692,x42693,x42694),x42695))
% 183.74/183.90 [4372]P1(f317(f317(f224(f906(x43721,a895)),f317(f300(x43722,x43721,x43723),f317(f317(f92(f906(x43722,a895)),x43724),x43725))),f317(f317(f92(f906(x43721,a895)),f317(f300(x43722,x43721,x43723),x43724)),f317(f300(x43722,x43721,x43723),x43725))))
% 183.74/183.90 [4373]P1(f317(f317(f224(f906(x43731,a895)),f317(f275(x43732,x43731,x43733),f317(f317(f92(f906(x43732,a895)),x43734),x43735))),f317(f317(f92(f906(x43731,a895)),f317(f275(x43732,x43731,x43733),x43734)),f317(f275(x43732,x43731,x43733),x43735))))
% 183.74/183.90 [4472]E(f317(f246(x44721,x44722),f317(f248(x44723,x44721,x44722,x44722,x44724,f25(x44722)),x44725)),f317(f246(x44723,x44722),x44725))
% 183.74/183.90 [4473]E(f317(f241(x44731,x44732),f317(f248(x44731,x44731,x44733,x44732,f25(x44731),x44734),x44735)),f317(f241(x44731,x44733),x44735))
% 183.74/183.90 [3675]E(f317(f317(f317(f317(f194(x36751),x36752),x36753),x36754),x36755),f182(x36751,x36752))
% 183.74/183.90 [3676]E(f317(f317(f317(f317(f198(x36761),x36762),x36763),x36764),x36765),f189(x36761,x36762))
% 183.74/183.90 [4038]E(f317(f317(f34(x40381,f906(x40382,a895)),f317(f317(f299(x40381),x40383),x40384)),x40385),f317(f317(f92(f906(x40382,a895)),f317(x40385,x40383)),f317(f317(f34(x40381,f906(x40382,a895)),x40384),x40385)))
% 183.74/183.90 [4039]E(f317(f317(f35(x40391,f906(x40392,a895)),f317(f317(f299(x40391),x40393),x40394)),x40395),f317(f317(f91(f906(x40392,a895)),f317(x40395,x40393)),f317(f317(f35(x40391,f906(x40392,a895)),x40394),x40395)))
% 183.74/183.90 [4089]E(f317(f108(x40891,x40892,f317(x40893,x40894)),f317(f317(f9(x40891,a89,f901(x40892)),x40895),x40894)),f317(f187(x40891,x40892,x40893,x40895),x40894))
% 183.74/183.90 [4099]E(f317(f317(f91(f906(x40991,a895)),f317(f300(x40992,x40991,x40993),x40994)),f317(f300(x40992,x40991,x40993),x40995)),f317(f300(x40992,x40991,x40993),f317(f317(f91(f906(x40992,a895)),x40994),x40995)))
% 183.74/183.90 [4100]E(f317(f317(f91(f906(x41001,a895)),f317(f275(x41002,x41001,x41003),x41004)),f317(f275(x41002,x41001,x41003),x41005)),f317(f275(x41002,x41001,x41003),f317(f317(f91(f906(x41002,a895)),x41004),x41005)))
% 183.74/183.90 [4101]E(f317(f317(f3(f906(x41011,a895)),f317(f301(x41011,x41012,x41013),x41014)),f317(f301(x41011,x41012,x41013),x41015)),f317(f301(x41011,x41012,x41013),f317(f317(f3(f906(x41012,a895)),x41014),x41015)))
% 183.74/183.90 [4102]E(f317(f317(f91(f906(x41021,a895)),f317(f301(x41021,x41022,x41023),x41024)),f317(f301(x41021,x41022,x41023),x41025)),f317(f301(x41021,x41022,x41023),f317(f317(f91(f906(x41022,a895)),x41024),x41025)))
% 183.74/183.90 [4103]E(f317(f317(f92(f906(x41031,a895)),f317(f301(x41031,x41032,x41033),x41034)),f317(f301(x41031,x41032,x41033),x41035)),f317(f301(x41031,x41032,x41033),f317(f317(f92(f906(x41032,a895)),x41034),x41035)))
% 183.74/183.90 [4164]E(f317(f317(f149(x41641,f317(f317(f124(x41641),x41642),f317(f317(f141(x41641),x41643),x41644))),f317(f179(f900(x41641)),x41642)),x41645),f317(f317(f124(x41641),x41642),f317(f317(f141(x41641),x41645),x41644)))
% 183.74/183.90 [4171]E(f317(f317(f34(x41711,f906(x41712,a895)),x41713),f317(f317(f10(f906(x41712,a895),f906(x41712,a895),x41711),f317(f299(x41712),x41714)),x41715)),f317(f317(f299(x41712),x41714),f317(f317(f34(x41711,f906(x41712,a895)),x41713),x41715)))
% 183.74/183.90 [4324]E(f317(f317(f144(x43241,x43242),x43243),f317(f126(x43241,f317(f67(x43242,a895,x43241,x43244),x43243)),x43245)),f317(f126(x43242,x43244),f317(f317(f144(x43241,x43242),x43243),x43245)))
% 183.74/183.90 [4330]E(f317(f179(f900(x43301)),f317(f126(x43301,x43302),f317(f317(f144(x43303,x43301),x43304),x43305))),f317(f179(f900(x43303)),f317(f126(x43303,f317(f67(x43301,a895,x43303,x43302),x43304)),x43305)))
% 183.74/183.90 [4537]E(f317(f146(f900(f905(x45371,x45372)),x45372,f103(f905(x45371,x45372)),f317(f317(f9(x45372,f906(f900(x45372),f900(f905(x45371,x45372))),f906(f900(x45372),f900(f905(x45371,x45372)))),f317(f317(f10(f906(f900(f905(x45371,x45372)),f900(f905(x45371,x45372))),f906(f906(f900(x45372),f900(f905(x45371,x45372))),f906(f900(x45372),f900(f905(x45371,x45372)))),x45372),f10(f900(f905(x45371,x45372)),f900(f905(x45371,x45372)),f900(x45372))),f317(f317(f10(f905(x45371,x45372),f906(f900(f905(x45371,x45372)),f900(f905(x45371,x45372))),x45372),f141(f905(x45371,x45372))),f317(f242(x45371,x45372),x45373)))),f317(f171(x45371,x45372),x45374))),x45375),f317(f317(f171(x45371,x45372),f317(f317(f141(x45371),x45373),x45374)),x45375))
% 183.74/183.90 [4030]E(f317(f317(f149(x40301,f317(f317(f149(x40301,x40302),x40303),x40304)),x40303),x40305),f317(f317(f149(x40301,x40302),x40303),x40305))
% 183.74/183.90 [4083]E(f317(f274(x40831,x40832),f317(f317(f299(f905(x40831,x40832)),f317(f317(f242(x40831,x40832),x40833),x40834)),x40835)),f317(f317(f299(x40832),x40834),f317(f274(x40831,x40832),x40835)))
% 183.74/183.90 [4084]E(f317(f254(x40841,x40842),f317(f317(f299(f905(x40841,x40842)),f317(f317(f242(x40841,x40842),x40843),x40844)),x40845)),f317(f317(f299(x40841),x40843),f317(f254(x40841,x40842),x40845)))
% 183.74/183.90 [4129]E(f112(x41291,x41292,f317(x41293,x41294),f317(f317(f9(x41291,a89,f901(f902(x41292))),x41295),x41294)),f317(f185(x41291,x41292,x41293,x41295),x41294))
% 183.74/183.90 [4157]E(f317(f317(f3(f906(f905(x41571,x41572),a895)),f317(f317(f244(x41571,x41572),x41573),x41574)),f317(f317(f244(x41571,x41572),x41575),x41574)),f317(f317(f244(x41571,x41572),f317(f317(f3(f906(x41571,a895)),x41573),x41575)),x41574))
% 183.74/183.90 [4158]E(f317(f317(f91(f906(f905(x41581,x41582),a895)),f317(f317(f244(x41581,x41582),x41583),x41584)),f317(f317(f244(x41581,x41582),x41585),x41584)),f317(f317(f244(x41581,x41582),f317(f317(f91(f906(x41581,a895)),x41583),x41585)),x41584))
% 183.74/183.90 [4159]E(f317(f317(f92(f906(f905(x41591,x41592),a895)),f317(f317(f244(x41591,x41592),x41593),x41594)),f317(f317(f244(x41591,x41592),x41595),x41594)),f317(f317(f244(x41591,x41592),f317(f317(f92(f906(x41591,a895)),x41593),x41595)),x41594))
% 183.74/183.90 [4218]E(f317(f317(f92(f906(x42181,a895)),f317(f317(f34(x42182,f906(x42181,a895)),x42183),x42184)),f317(f317(f34(x42182,f906(x42181,a895)),x42185),x42184)),f317(f317(f34(x42182,f906(x42181,a895)),f317(f317(f91(f906(x42182,a895)),x42183),x42185)),x42184))
% 183.74/183.90 [4219]E(f317(f317(f91(f906(x42191,a895)),f317(f317(f35(x42192,f906(x42191,a895)),x42193),x42194)),f317(f317(f35(x42192,f906(x42191,a895)),x42195),x42194)),f317(f317(f35(x42192,f906(x42191,a895)),f317(f317(f91(f906(x42192,a895)),x42193),x42195)),x42194))
% 183.74/183.90 [4233]E(f317(f317(f34(x42331,f906(x42332,a895)),x42333),f317(f317(f10(f906(x42332,a895),f906(x42332,a895),x42331),f317(f91(f906(x42332,a895)),x42334)),x42335)),f317(f317(f91(f906(x42332,a895)),x42334),f317(f317(f34(x42331,f906(x42332,a895)),x42333),x42335)))
% 183.74/183.90 [4234]E(f317(f317(f35(x42341,f906(x42342,a895)),x42343),f317(f317(f10(f906(x42342,a895),f906(x42342,a895),x42341),f317(f3(f906(x42342,a895)),x42344)),x42345)),f317(f317(f3(f906(x42342,a895)),x42344),f317(f317(f34(x42341,f906(x42342,a895)),x42343),x42345)))
% 183.74/183.90 [4235]E(f317(f317(f35(x42351,f906(x42352,a895)),x42353),f317(f317(f10(f906(x42352,a895),f906(x42352,a895),x42351),f317(f92(f906(x42352,a895)),x42354)),x42355)),f317(f317(f92(f906(x42352,a895)),x42354),f317(f317(f35(x42351,f906(x42352,a895)),x42353),x42355)))
% 183.74/183.90 [4289]E(f175(f900(x42891),f317(f317(f141(x42891),x42892),x42893),f317(f317(f10(f900(x42891),f900(x42891),a899),f317(f141(x42891),x42894)),f317(f317(f9(a899,x42891,f900(x42891)),f149(x42891,x42893)),x42892)),x42895),f317(f317(f149(x42891,f317(f317(f141(x42891),x42894),x42893)),x42895),x42892))
% 183.74/183.90 [4293]E(f317(f317(f34(x42931,f906(f905(x42932,x42933),a895)),x42934),f317(f317(f10(f906(f905(x42933,x42932),a895),f906(f905(x42932,x42933),a895),x42931),f276(x42933,x42932)),x42935)),f317(f276(x42933,x42932),f317(f317(f34(x42931,f906(f905(x42933,x42932),a895)),x42934),x42935)))
% 183.74/183.90 [4294]E(f317(f317(f35(x42941,f906(f905(x42942,x42943),a895)),x42944),f317(f317(f10(f906(f905(x42943,x42942),a895),f906(f905(x42942,x42943),a895),x42941),f276(x42943,x42942)),x42945)),f317(f276(x42943,x42942),f317(f317(f35(x42941,f906(f905(x42943,x42942),a895)),x42944),x42945)))
% 183.74/183.90 [4395]P1(f317(f317(f224(f906(x43951,a895)),f317(f317(f3(f906(x43951,a895)),f317(f300(x43952,x43951,x43953),x43954)),f317(f300(x43952,x43951,x43953),x43955))),f317(f300(x43952,x43951,x43953),f317(f317(f3(f906(x43952,a895)),x43954),x43955))))
% 183.74/183.90 [4540]E(f317(f146(f900(f905(x45401,x45402)),x45401,f103(f905(x45401,x45402)),f317(f317(f9(x45401,f906(f900(x45401),f900(f905(x45401,x45402))),f906(f900(x45401),f900(f905(x45401,x45402)))),f317(f317(f10(f906(f900(f905(x45401,x45402)),f900(f905(x45401,x45402))),f906(f906(f900(x45401),f900(f905(x45401,x45402))),f906(f900(x45401),f900(f905(x45401,x45402)))),x45401),f10(f900(f905(x45401,x45402)),f900(f905(x45401,x45402)),f900(x45401))),f317(f317(f10(f905(x45401,x45402),f906(f900(f905(x45401,x45402)),f900(f905(x45401,x45402))),x45401),f141(f905(x45401,x45402))),f317(f317(f9(x45401,x45402,f905(x45401,x45402)),f242(x45401,x45402)),x45403)))),f317(f317(f9(f900(x45401),f900(x45402),f900(f905(x45401,x45402))),f171(x45401,x45402)),x45404))),x45405),f317(f317(f171(x45401,x45402),x45405),f317(f317(f141(x45402),x45403),x45404)))
% 183.74/183.90 [4258]E(f317(f317(f91(f906(x42581,a895)),f317(f275(x42582,x42581,x42583),x42584)),f317(f275(x42582,x42581,x42585),x42584)),f317(f275(x42582,x42581,f317(f317(f91(f906(f905(x42582,x42581),a895)),x42583),x42585)),x42584))
% 183.74/183.90 [4295]E(f317(f317(f124(f905(x42951,x42952)),f317(f317(f171(x42951,x42952),x42953),f317(f317(f165(x42952),f317(f179(f900(x42951)),x42953)),x42954))),f317(f317(f171(x42951,x42952),x42955),f317(f317(f128(x42952),f317(f179(f900(x42951)),x42953)),x42954))),f317(f317(f171(x42951,x42952),f317(f317(f124(x42951),x42953),x42955)),x42954))
% 183.74/183.90 [4398]E(f317(f317(f244(x43981,x43982),x43983),f317(f317(f20(x43981,f906(x43982,a895),f906(x43982,a895)),f317(f317(f10(f906(x43982,a895),f906(f906(x43982,a895),f906(x43982,a895)),x43981),f3(f906(x43982,a895))),x43984)),x43985)),f317(f317(f3(f906(f905(x43981,x43982),a895)),f317(f317(f244(x43981,x43982),x43983),x43984)),f317(f317(f244(x43981,x43982),x43983),x43985)))
% 183.74/183.90 [4399]E(f317(f317(f244(x43991,x43992),x43993),f317(f317(f20(x43991,f906(x43992,a895),f906(x43992,a895)),f317(f317(f10(f906(x43992,a895),f906(f906(x43992,a895),f906(x43992,a895)),x43991),f91(f906(x43992,a895))),x43994)),x43995)),f317(f317(f91(f906(f905(x43991,x43992),a895)),f317(f317(f244(x43991,x43992),x43993),x43994)),f317(f317(f244(x43991,x43992),x43993),x43995)))
% 183.74/183.90 [4400]E(f317(f317(f244(x44001,x44002),x44003),f317(f317(f20(x44001,f906(x44002,a895),f906(x44002,a895)),f317(f317(f10(f906(x44002,a895),f906(f906(x44002,a895),f906(x44002,a895)),x44001),f92(f906(x44002,a895))),x44004)),x44005)),f317(f317(f92(f906(f905(x44001,x44002),a895)),f317(f317(f244(x44001,x44002),x44003),x44004)),f317(f317(f244(x44001,x44002),x44003),x44005)))
% 183.74/183.90 [4404]E(f317(f317(f34(x44041,f906(x44042,a895)),x44043),f317(f317(f9(x44041,f906(x44042,a895),f906(x44042,a895)),f317(f317(f10(f906(x44042,a895),f906(f906(x44042,a895),f906(x44042,a895)),x44041),f91(f906(x44042,a895))),x44044)),x44045)),f317(f317(f91(f906(x44042,a895)),f317(f317(f34(x44041,f906(x44042,a895)),x44043),x44044)),x44045))
% 183.74/183.90 [4405]E(f317(f317(f35(x44051,f906(x44052,a895)),x44053),f317(f317(f9(x44051,f906(x44052,a895),f906(x44052,a895)),f317(f317(f10(f906(x44052,a895),f906(f906(x44052,a895),f906(x44052,a895)),x44051),f3(f906(x44052,a895))),x44054)),x44055)),f317(f317(f3(f906(x44052,a895)),f317(f317(f35(x44051,f906(x44052,a895)),x44053),x44054)),x44055))
% 183.74/183.90 [4406]E(f317(f317(f35(x44061,f906(x44062,a895)),x44063),f317(f317(f9(x44061,f906(x44062,a895),f906(x44062,a895)),f317(f317(f10(f906(x44062,a895),f906(f906(x44062,a895),f906(x44062,a895)),x44061),f92(f906(x44062,a895))),x44064)),x44065)),f317(f317(f92(f906(x44062,a895)),f317(f317(f35(x44061,f906(x44062,a895)),x44063),x44064)),x44065))
% 183.74/183.90 [4410]E(f317(f317(f34(x44101,f906(x44102,a895)),x44103),f317(f317(f20(x44101,f906(x44102,a895),f906(x44102,a895)),f317(f317(f10(f906(x44102,a895),f906(f906(x44102,a895),f906(x44102,a895)),x44101),f92(f906(x44102,a895))),x44104)),x44105)),f317(f317(f92(f906(x44102,a895)),f317(f317(f34(x44101,f906(x44102,a895)),x44103),x44104)),f317(f317(f34(x44101,f906(x44102,a895)),x44103),x44105)))
% 183.74/183.90 [4411]E(f317(f317(f35(x44111,f906(x44112,a895)),x44113),f317(f317(f20(x44111,f906(x44112,a895),f906(x44112,a895)),f317(f317(f10(f906(x44112,a895),f906(f906(x44112,a895),f906(x44112,a895)),x44111),f91(f906(x44112,a895))),x44114)),x44115)),f317(f317(f91(f906(x44112,a895)),f317(f317(f35(x44111,f906(x44112,a895)),x44113),x44114)),f317(f317(f35(x44111,f906(x44112,a895)),x44113),x44115)))
% 183.74/183.90 [4424]E(f317(f317(f34(x44241,f906(x44242,a895)),x44243),f317(f317(f20(x44241,f906(x44242,a895),f906(x44242,a895)),f317(f317(f10(f906(x44242,a895),f906(f906(x44242,a895),f906(x44242,a895)),x44241),f92(f906(x44242,a895))),x44244)),x44245)),f317(f317(f92(f906(x44242,a895)),f32(f906(x44242,a895),f317(f300(x44241,f906(x44242,a895),x44244),x44243))),f32(f906(x44242,a895),f317(f300(x44241,f906(x44242,a895),x44245),x44243))))
% 183.74/183.90 [4425]E(f317(f317(f35(x44251,f906(x44252,a895)),x44253),f317(f317(f20(x44251,f906(x44252,a895),f906(x44252,a895)),f317(f317(f10(f906(x44252,a895),f906(f906(x44252,a895),f906(x44252,a895)),x44251),f91(f906(x44252,a895))),x44254)),x44255)),f317(f317(f91(f906(x44252,a895)),f31(f906(x44252,a895),f317(f300(x44251,f906(x44252,a895),x44254),x44253))),f31(f906(x44252,a895),f317(f300(x44251,f906(x44252,a895),x44255),x44253))))
% 183.74/183.90 [4461]E(f317(f317(f128(x44611),f317(f179(f900(x44611)),f167(x44611,x44612,f317(f317(f144(x44613,x44611),x44614),x44615)))),f317(f317(f144(x44613,x44611),x44614),x44615)),f317(f317(f144(x44613,x44611),x44614),f317(f317(f128(x44613),f317(f179(f900(x44613)),f167(x44613,f317(f67(x44611,a895,x44613,x44612),x44614),x44615))),x44615)))
% 183.74/183.90 [4337]E(f317(f317(f124(f905(x43371,x43372)),f317(f317(f171(x43371,x43372),f317(f317(f165(x43371),f317(f179(f900(x43372)),x43373)),x43374)),x43373)),f317(f317(f171(x43371,x43372),f317(f317(f128(x43371),f317(f179(f900(x43372)),x43373)),x43374)),x43375)),f317(f317(f171(x43371,x43372),x43374),f317(f317(f124(x43372),x43373),x43375)))
% 183.74/183.90 [4452]E(f79(x44521,f317(f317(f20(x44521,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44521),a315),f317(f317(f9(x44521,f906(x44521,a895),a895),f319(x44521)),x44522))),f317(f317(f9(x44521,x44523,a895),f317(f317(f10(x44523,f906(x44523,a895),x44521),a314),x44524)),x44525))),f317(f71(x44521,x44523,x44522,x44524),x44525))
% 183.74/183.90 [4453]E(f84(x44531,f317(f317(f20(x44531,a895,a895),f317(f317(f10(a895,f906(a895,a895),x44531),a315),f317(f317(f9(x44531,f906(x44531,a895),a895),f319(x44531)),x44532))),f317(f317(f9(x44531,x44533,a895),f317(f317(f10(x44533,f906(x44533,a895),x44531),a314),x44534)),x44535))),f317(f85(x44531,x44533,x44532,x44534),x44535))
% 183.74/183.90 [4501]E(f317(f317(f80(a1,x45011),f317(f94(a1),f317(f317(f74(a1),x45012),a87))),f317(f317(f20(a1,x45011,x45011),f317(f317(f9(a1,x45011,f906(x45011,x45011)),f317(f317(f10(a895,f906(x45011,f906(x45011,x45011)),a1),f86(x45011)),a183)),f175(x45011,x45013,x45014,x45015))),f317(f317(f10(a899,x45011,a1),x45014),f317(f317(f9(a1,a899,a899),f317(f317(f10(a899,f906(a899,a899),a1),f74(a899)),a95)),x45015)))),f175(x45011,x45013,x45014,f317(f317(f74(a899),f317(f94(a899),x45012)),x45015)))
% 183.74/183.90 [4536]E(f317(f317(f80(a1,x45361),f317(f94(a1),f317(f317(f74(a1),x45362),a87))),f317(f317(f20(a1,x45361,x45361),f317(f317(f9(a1,x45361,f906(x45361,x45361)),f317(f317(f10(a895,f906(x45361,f906(x45361,x45361)),a1),f86(x45361)),a183)),f317(f174(x45361,x45363,x45364),x45365))),f317(f317(f20(a1,x45361,x45361),f317(f317(f10(a899,f906(x45361,x45361),a1),x45364),f317(f317(f9(a1,a899,a899),f317(f317(f10(a899,f906(a899,a899),a1),f74(a899)),a95)),x45365))),f317(f317(f10(a899,x45361,a1),f174(x45361,x45363,x45364)),f317(f317(f9(a1,a899,a899),f317(f317(f10(a899,f906(a899,a899),a1),f74(a899)),a95)),x45365))))),f317(f174(x45361,x45363,x45364),f317(f317(f74(a899),f317(f94(a899),x45362)),x45365)))
% 183.74/183.90 [4569]E(f317(f252(f905(x45691,x45692)),f317(f247(x45691,x45692,a895),f317(f317(f10(f906(x45692,f906(x45693,a895)),f906(x45692,a895),x45691),f317(f10(f906(x45693,a895),a895,x45692),f81(x45693))),f317(f317(f9(x45691,f906(x45692,f906(x45693,a895)),f906(x45692,f906(x45693,a895))),f317(f317(f10(f906(f906(x45693,a895),f906(x45693,a895)),f906(f906(x45692,f906(x45693,a895)),f906(x45692,f906(x45693,a895))),x45691),f10(f906(x45693,a895),f906(x45693,a895),x45692)),f317(f317(f10(f906(x45693,f906(a895,a895)),f906(f906(x45693,a895),f906(x45693,a895)),x45691),f20(x45693,a895,a895)),f317(f317(f10(f906(x45693,a895),f906(x45693,f906(a895,a895)),x45691),f317(f10(a895,f906(a895,a895),x45693),a315)),f317(f317(f9(x45691,f906(f905(x45691,x45693),a895),f906(x45693,a895)),f317(f317(f10(f906(x45693,f906(f906(f905(x45691,x45693),a895),a895)),f906(f906(f905(x45691,x45693),a895),f906(x45693,a895)),x45691),f9(x45693,f906(f905(x45691,x45693),a895),a895)),f317(f317(f10(f906(x45693,f905(x45691,x45693)),f906(x45693,f906(f906(f905(x45691,x45693),a895),a895)),x45691),f317(f10(f905(x45691,x45693),f906(f906(f905(x45691,x45693),a895),a895),x45693),f319(f905(x45691,x45693)))),f242(x45691,x45693)))),x45694))))),f317(f317(f9(x45692,f906(f905(x45693,x45692),a895),f906(x45693,a895)),f317(f317(f10(f906(x45693,f906(f906(f905(x45693,x45692),a895),a895)),f906(f906(f905(x45693,x45692),a895),f906(x45693,a895)),x45692),f9(x45693,f906(f905(x45693,x45692),a895),a895)),f317(f317(f10(f906(x45693,f905(x45693,x45692)),f906(x45693,f906(f906(f905(x45693,x45692),a895),a895)),x45692),f317(f10(f905(x45693,x45692),f906(f906(f905(x45693,x45692),a895),a895),x45693),f319(f905(x45693,x45692)))),f317(f9(x45693,x45692,f905(x45693,x45692)),f242(x45693,x45692))))),x45695))))),f317(f317(f279(x45691,x45693,x45692),x45694),x45695))
% 183.74/183.90 [4187]E(f214(x41871,x41872,x41873,x41874,f210(x41871,x41872,x41875,x41876)),f317(f317(x41874,x41875),x41876))
% 183.74/183.90 [4188]E(f215(x41881,x41882,x41883,x41884,f210(x41881,x41882,x41885,x41886)),f317(f317(x41884,x41885),x41886))
% 183.74/183.90 [4313]E(f117(x43131,x43132,x43133,x43134,f116(x43132,x43135,x43136)),f317(f317(f317(x43134,x43135),x43136),f117(x43131,x43132,x43133,x43134,x43136)))
% 183.74/183.90 [4332]E(f69(x43321,x43322,f69(x43321,x43322,x43323,x43324,x43325),x43324,x43326),f69(x43321,x43322,x43323,x43324,x43326))
% 183.74/183.90 [4440]E(f317(f67(f905(x44401,x44402),x44402,f905(x44403,x44404),f246(x44401,x44402)),f248(x44403,x44401,x44404,x44402,x44405,x44406)),f317(f67(x44404,x44402,f905(x44403,x44404),x44406),f246(x44403,x44404)))
% 183.74/183.90 [4441]E(f317(f67(f905(x44411,x44412),x44411,f905(x44413,x44414),f241(x44411,x44412)),f248(x44413,x44411,x44414,x44412,x44415,x44416)),f317(f67(x44413,x44411,f905(x44413,x44414),x44415),f241(x44413,x44414)))
% 183.74/183.90 [4059]E(f317(f317(f67(x40591,x40592,x40593,x40594),x40595),x40596),f317(x40594,f317(x40595,x40596)))
% 183.74/183.90 [4197]E(f213(x41971,f905(x41972,f901(x41972)),x41973,f317(f247(x41972,f901(x41972),x41971),x41974),f317(f125(x41972),f116(x41972,x41975,x41976))),f317(f317(x41974,x41975),x41976))
% 183.74/183.90 [4247]E(f216(x42471,x42472,x42473,x42474,f210(x42471,x42472,x42475,x42476)),f317(f317(f74(a899),f317(f317(f74(a899),f317(x42473,x42475)),f317(x42474,x42476))),f317(a102,f2(a899))))
% 183.74/183.90 [3861]E(f317(f317(f247(x38611,x38612,x38613),x38614),f317(f317(f242(x38611,x38612),x38615),x38616)),f317(f317(x38614,x38615),x38616))
% 183.74/183.90 [3921]E(f317(f317(f317(f10(x39211,x39212,x39213),x39214),x39215),x39216),f317(x39214,f317(x39215,x39216)))
% 183.74/183.90 [3922]E(f317(f317(f317(f9(x39221,x39222,x39223),x39224),x39225),x39226),f317(f317(x39224,x39226),x39225))
% 183.74/183.90 [3938]E(f317(f317(f317(f20(x39381,x39382,x39383),x39384),x39385),x39386),f317(f317(x39384,x39386),f317(x39385,x39386)))
% 183.74/183.90 [3961]E(f317(f146(x39611,x39612,x39613,x39614),f317(f317(f141(x39612),x39615),x39616)),f317(f317(x39614,x39615),x39616))
% 183.74/183.90 [3997]E(f159(f905(x39971,x39972),f317(f317(f228(a899),x39973),x39974),f317(f317(f242(x39971,x39972),x39975),x39976)),f317(f317(f171(x39971,x39972),f159(x39971,x39973,x39975)),f159(x39972,x39974,x39976)))
% 183.74/183.90 [4063]E(f317(f317(f141(f905(x40631,x40632)),f317(f317(f242(x40631,x40632),x40633),x40634)),f317(f317(f171(x40631,x40632),x40635),x40636)),f317(f317(f171(x40631,x40632),f317(f317(f141(x40631),x40633),x40635)),f317(f317(f141(x40632),x40634),x40636)))
% 183.74/183.90 [4064]E(f317(f317(f144(x40641,x40642),x40643),f317(f317(f149(x40641,x40644),x40645),x40646)),f317(f317(f149(x40642,f317(f317(f144(x40641,x40642),x40643),x40644)),x40645),f317(x40643,x40646)))
% 183.74/183.90 [4088]E(f317(f317(f245(x40881,x40882,x40883,x40884),x40885),x40886),f317(x40884,f317(f317(f242(x40881,x40882),x40885),x40886)))
% 183.74/183.90 [4104]E(f317(f132(x41041,x41042,x41043,x41044),f317(f317(f141(x41042),x41045),x41046)),f317(f132(x41041,x41042,x41043,f317(f317(x41043,x41044),x41045)),x41046))
% 183.74/183.90 [4130]E(f250(x41301,x41302,x41303,x41304,f317(f317(f242(x41301,x41302),x41305),x41306)),f317(f317(x41304,x41305),x41306))
% 183.74/183.90 [4211]E(f317(f317(f35(x42111,f906(x42112,a895)),x42113),f317(f67(x42114,f906(x42112,a895),x42111,x42115),x42116)),f317(f317(f35(x42114,f906(x42112,a895)),f317(f300(x42111,x42114,x42116),x42113)),x42115))
% 183.74/183.90 [4261]E(f317(f317(f144(x42611,x42612),x42613),f317(f317(f144(x42614,x42611),x42615),x42616)),f317(f317(f144(x42614,x42612),f317(f67(x42611,x42612,x42614,x42613),x42615)),x42616))
% 183.74/183.90 [4267]E(f317(f300(x42671,x42672,f317(f67(x42673,x42672,x42671,x42674),x42675)),x42676),f317(f300(x42673,x42672,x42674),f317(f300(x42671,x42673,x42675),x42676)))
% 183.74/183.90 [4268]E(f317(f301(x42681,x42682,f317(f67(x42683,x42682,x42681,x42684),x42685)),x42686),f317(f301(x42681,x42683,x42685),f317(f301(x42683,x42682,x42684),x42686)))
% 183.74/183.90 [4296]E(f317(f132(x42961,x42962,x42963,f317(f132(x42961,x42962,x42963,x42964),x42965)),x42966),f317(f132(x42961,x42962,x42963,x42964),f317(f317(f124(x42962),x42965),x42966)))
% 183.74/183.90 [4430]E(f317(f248(x44301,x44301,x44302,x44303,f25(x44301),x44304),f317(f317(f242(x44301,x44302),x44305),x44306)),f317(f317(f242(x44301,x44303),x44305),f317(x44304,x44306)))
% 183.74/183.90 [4431]E(f317(f248(x44311,x44312,x44313,x44313,x44314,f25(x44313)),f317(f317(f242(x44311,x44313),x44315),x44316)),f317(f317(f242(x44312,x44313),f317(x44314,x44315)),x44316))
% 183.74/183.90 [4519]E(f317(f317(f144(f905(x45191,x45192),f905(x45191,x45193)),f317(f247(x45191,x45192,f905(x45191,x45193)),f317(f317(f9(x45191,f906(x45192,x45193),f906(x45192,f905(x45191,x45193))),f317(f317(f10(f906(x45193,f905(x45191,x45193)),f906(f906(x45192,x45193),f906(x45192,f905(x45191,x45193))),x45191),f10(x45193,f905(x45191,x45193),x45192)),f242(x45191,x45193))),x45194))),f317(f317(f171(x45191,x45192),x45195),x45196)),f317(f317(f171(x45191,x45193),x45195),f317(f317(f144(x45192,x45193),x45194),x45196)))
% 183.74/183.90 [4114]E(f317(f317(f67(x41141,x41142,x41143,f317(f18(x41142,x41141),x41144)),x41145),x41146),x41144)
% 183.74/183.90 [4146]E(f317(f300(x41461,x41462,x41463),f317(f300(x41464,x41461,x41465),x41466)),f317(f300(x41464,x41462,f317(f317(f10(x41461,x41462,x41464),x41463),x41465)),x41466))
% 183.74/183.90 [4152]E(f317(f317(f34(x41521,f906(x41522,a895)),f317(f300(x41523,x41521,x41524),x41525)),x41526),f317(f317(f34(x41523,f906(x41522,a895)),x41525),f317(f317(f10(x41521,f906(x41522,a895),x41523),x41526),x41524)))
% 183.74/183.90 [4153]E(f317(f317(f35(x41531,f906(x41532,a895)),f317(f300(x41533,x41531,x41534),x41535)),x41536),f317(f317(f35(x41533,f906(x41532,a895)),x41535),f317(f317(f10(x41531,f906(x41532,a895),x41533),x41536),x41534)))
% 183.74/183.90 [4154]E(f317(f317(f34(x41541,f906(x41542,a895)),x41543),f317(f317(f10(x41544,f906(x41542,a895),x41541),x41545),x41546)),f317(f317(f34(x41544,f906(x41542,a895)),f317(f300(x41541,x41544,x41546),x41543)),x41545))
% 183.74/183.90 [4155]E(f317(f317(f35(x41551,f906(x41552,a895)),x41553),f317(f317(f10(x41554,f906(x41552,a895),x41551),x41555),x41556)),f317(f317(f35(x41554,f906(x41552,a895)),f317(f300(x41551,x41554,x41556),x41553)),x41555))
% 183.74/183.90 [4213]E(f317(f317(f35(x42131,f906(x42132,a895)),x42133),f317(f317(f10(f906(x42134,a895),f906(x42132,a895),x42131),f300(x42134,x42132,x42135)),x42136)),f317(f300(x42134,x42132,x42135),f317(f317(f35(x42131,f906(x42134,a895)),x42133),x42136)))
% 183.74/183.90 [4214]E(f317(f317(f35(x42141,f906(x42142,a895)),x42143),f317(f317(f10(f906(x42144,a895),f906(x42142,a895),x42141),f275(x42144,x42142,x42145)),x42146)),f317(f275(x42144,x42142,x42145),f317(f317(f35(x42141,f906(x42144,a895)),x42143),x42146)))
% 183.74/183.90 [4215]E(f317(f317(f34(x42151,f906(x42152,a895)),x42153),f317(f317(f10(f906(x42154,a895),f906(x42152,a895),x42151),f301(x42152,x42154,x42155)),x42156)),f317(f301(x42152,x42154,x42155),f317(f317(f34(x42151,f906(x42154,a895)),x42153),x42156)))
% 183.74/183.90 [4216]E(f317(f317(f35(x42161,f906(x42162,a895)),x42163),f317(f317(f10(f906(x42164,a895),f906(x42162,a895),x42161),f301(x42162,x42164,x42165)),x42166)),f317(f301(x42162,x42164,x42165),f317(f317(f35(x42161,f906(x42164,a895)),x42163),x42166)))
% 183.74/183.90 [4301]E(f317(f132(x43011,x43012,f317(f9(x43012,x43011,x43011),x43013),x43014),f317(f158(x43012),f317(f317(f141(x43012),x43015),x43016))),f317(f317(x43013,x43015),f317(f132(x43011,x43012,f317(f9(x43012,x43011,x43011),x43013),x43014),f317(f158(x43012),x43016))))
% 183.74/183.90 [4359]E(f317(f317(f20(f905(x43591,x43592),x43592,x43593),f317(f317(f10(x43594,f906(x43592,x43593),f905(x43591,x43592)),x43595),f317(f317(f10(x43591,x43594,f905(x43591,x43592)),x43596),f241(x43591,x43592)))),f246(x43591,x43592)),f317(f247(x43591,x43592,x43593),f317(f317(f10(x43594,f906(x43592,x43593),x43591),x43595),x43596)))
% 183.74/183.90 [4366]E(f317(f132(x43661,x43662,f317(f9(x43662,x43661,x43661),x43663),f317(f132(x43661,x43662,f317(f9(x43662,x43661,x43661),x43663),x43664),f317(f158(x43662),x43665))),f317(f158(x43662),x43666)),f317(f132(x43661,x43662,f317(f9(x43662,x43661,x43661),x43663),x43664),f317(f158(x43662),f317(f317(f124(x43662),x43666),x43665))))
% 183.74/183.90 [4368]E(f317(f317(f144(f905(x43681,x43682),f905(x43683,x43682)),f317(f247(x43681,x43682,f905(x43683,x43682)),f317(f317(f10(x43683,f906(x43682,f905(x43683,x43682)),x43681),f242(x43683,x43682)),x43684))),f317(f317(f171(x43681,x43682),x43685),x43686)),f317(f317(f171(x43683,x43682),f317(f317(f144(x43681,x43683),x43684),x43685)),x43686))
% 183.74/183.90 [4413]P1(f317(f317(f224(f906(x44131,a895)),f317(f275(x44132,x44131,x44133),f317(f317(f34(x44134,f906(x44132,a895)),x44135),x44136))),f317(f317(f34(x44134,f906(x44131,a895)),x44135),f317(f317(f10(f906(x44132,a895),f906(x44131,a895),x44134),f275(x44132,x44131,x44133)),x44136))))
% 183.74/183.90 [4226]E(f317(f317(f171(x42261,x42262),f317(f317(f149(x42261,x42263),x42264),f317(f241(x42261,x42262),x42265))),f317(f317(f149(x42262,x42266),x42264),f317(f246(x42261,x42262),x42265))),f317(f317(f149(f905(x42261,x42262),f317(f317(f171(x42261,x42262),x42263),x42266)),x42264),x42265))
% 183.74/183.90 [4284]E(f317(f317(f91(f906(f905(x42841,x42842),a895)),f317(f317(f279(x42841,x42843,x42842),x42844),x42845)),f317(f317(f279(x42841,x42843,x42842),x42844),x42846)),f317(f317(f279(x42841,x42843,x42842),x42844),f317(f317(f91(f906(f905(x42843,x42842),a895)),x42845),x42846)))
% 183.74/183.90 [4378]E(f317(f317(f299(f905(x43781,x43782)),f317(f317(f242(x43781,x43782),x43783),x43784)),f317(f317(f91(f906(f905(x43781,x43782),a895)),f317(f317(f244(x43781,x43782),x43785),f317(f18(f906(x43782,a895),x43781),f317(f317(f299(x43782),x43784),x43786)))),f317(f317(f244(x43781,x43782),f317(f317(f299(x43781),x43783),x43785)),f317(f18(f906(x43782,a895),x43781),x43786)))),f317(f317(f244(x43781,x43782),f317(f317(f299(x43781),x43783),x43785)),f317(f18(f906(x43782,a895),x43781),f317(f317(f299(x43782),x43784),x43786))))
% 183.74/183.90 [4457]E(f317(f317(f92(f906(x44571,a895)),f317(f301(x44571,x44572,f317(f67(f905(x44572,x44573),x44572,x44571,f241(x44572,x44573)),x44574)),x44575)),f317(f301(x44571,x44573,f317(f67(f905(x44572,x44573),x44573,x44571,f246(x44572,x44573)),x44574)),x44576)),f317(f301(x44571,f905(x44572,x44573),x44574),f317(f317(f244(x44572,x44573),x44575),f317(f18(f906(x44573,a895),x44572),x44576))))
% 183.74/183.90 [4307]E(f317(f317(f91(f906(f905(x43071,x43072),a895)),f317(f317(f279(x43071,x43073,x43072),x43074),x43075)),f317(f317(f279(x43071,x43073,x43072),x43076),x43075)),f317(f317(f279(x43071,x43073,x43072),f317(f317(f91(f906(f905(x43071,x43073),a895)),x43074),x43076)),x43075))
% 183.74/183.90 [4438]E(f317(f317(f34(x44381,f906(x44382,a895)),x44383),f317(f317(f9(x44381,f906(x44384,f906(x44382,a895)),f906(x44382,a895)),f317(f317(f10(f906(x44384,a895),f906(f906(x44384,f906(x44382,a895)),f906(x44382,a895)),x44381),f34(x44384,f906(x44382,a895))),x44385)),x44386)),f317(f317(f34(x44384,f906(x44382,a895)),f317(f317(f35(x44381,f906(x44384,a895)),x44383),x44385)),x44386))
% 183.74/183.90 [4439]E(f317(f317(f35(x44391,f906(x44392,a895)),x44393),f317(f317(f9(x44391,f906(x44394,f906(x44392,a895)),f906(x44392,a895)),f317(f317(f10(f906(x44394,a895),f906(f906(x44394,f906(x44392,a895)),f906(x44392,a895)),x44391),f35(x44394,f906(x44392,a895))),x44395)),x44396)),f317(f317(f35(x44394,f906(x44392,a895)),f317(f317(f35(x44391,f906(x44394,a895)),x44393),x44395)),x44396))
% 183.74/183.90 [4491]E(f317(f247(x44911,x44912,f905(x44913,x44914)),f317(f317(f9(x44911,f906(x44912,x44914),f906(x44912,f905(x44913,x44914))),f317(f317(f10(f906(x44914,f905(x44913,x44914)),f906(f906(x44912,x44914),f906(x44912,f905(x44913,x44914))),x44911),f10(x44914,f905(x44913,x44914),x44912)),f317(f317(f10(x44913,f906(x44914,f905(x44913,x44914)),x44911),f242(x44913,x44914)),x44915))),x44916)),f248(x44911,x44913,x44912,x44914,x44915,x44916))
% 183.74/183.90 [4514]E(f317(f300(x45141,x45142,f317(f317(f20(x45141,x45142,x45142),f317(f317(f20(x45141,x45142,f906(x45142,x45142)),f317(f317(f10(a895,f906(x45142,f906(x45142,x45142)),x45141),f86(x45142)),x45143)),x45144)),x45145)),x45146),f317(f317(f91(f906(x45142,a895)),f317(f300(x45141,x45142,x45144),f317(f317(f92(f906(x45141,a895)),x45146),f317(f252(x45141),x45143)))),f317(f300(x45141,x45142,x45145),f317(f317(f92(f906(x45141,a895)),x45146),f317(f252(x45141),f317(f317(f10(a895,a895,x45141),a312),x45143))))))
% 183.74/183.90 [4526]E(f317(f300(x45261,f905(x45262,x45263),f317(f317(f20(x45261,x45263,f905(x45262,x45263)),f317(f317(f10(x45262,f906(x45263,f905(x45262,x45263)),x45261),f242(x45262,x45263)),x45264)),x45265)),x45266),f317(f317(f244(x45262,x45263),f317(f300(x45261,x45262,x45264),x45266)),f317(f317(f10(f906(x45261,a895),f906(x45263,a895),x45262),f300(x45261,x45263,x45265)),f317(f317(f9(x45262,f906(x45261,a895),f906(x45261,a895)),f317(f317(f10(f906(x45261,a895),f906(f906(x45261,a895),f906(x45261,a895)),x45262),f92(f906(x45261,a895))),f317(f317(f10(f906(x45262,a895),f906(x45261,a895),x45262),f301(x45261,x45262,x45264)),f317(f317(f9(x45262,f906(x45262,a895),f906(x45262,a895)),f299(x45262)),f178(f906(x45262,a895)))))),x45266))))
% 183.74/183.90 [4551]E(f236(x45511,x45512,x45513,x45514,x45515,x45516),f317(x45514,f317(f252(x45511),f317(f317(f10(f906(f906(x45513,x45511),a895),a895,x45511),f81(f906(x45513,x45511))),f317(f317(f10(f906(f906(x45513,x45511),a895),f906(f906(x45513,x45511),a895),x45511),f317(f20(f906(x45513,x45511),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x45513,x45511)),a315),f317(f317(f9(f906(x45513,x45511),f906(f906(x45513,x45511),a895),a895),f319(f906(x45513,x45511))),x45515)))),f317(f317(f9(x45511,f906(f906(x45513,x45511),x45511),f906(f906(x45513,x45511),a895)),f317(f317(f10(f906(x45511,a895),f906(f906(f906(x45513,x45511),x45511),f906(f906(x45513,x45511),a895)),x45511),f10(x45511,a895,f906(x45513,x45511))),a314)),f317(f317(f9(f906(x45513,x45511),x45513,x45511),f7(f906(x45513,x45511))),x45516)))))))
% 183.74/183.90 [4340]E(f317(f67(x43401,x43402,x43403,x43404),f69(x43403,x43401,x43405,x43406,x43407)),f69(x43403,x43402,f317(f67(x43401,x43402,x43403,x43404),x43405),x43406,f317(x43404,x43407)))
% 183.74/183.90 [4474]E(f317(f246(x44741,x44742),f317(f248(x44743,x44741,x44744,x44742,x44745,x44746),x44747)),f317(x44746,f317(f246(x44743,x44744),x44747)))
% 183.74/183.90 [4475]E(f317(f241(x44751,x44752),f317(f248(x44753,x44751,x44754,x44752,x44755,x44756),x44757)),f317(x44755,f317(f241(x44753,x44754),x44757)))
% 183.74/183.90 [4189]E(f317(f317(f171(x41891,x41892),f317(f317(f149(x41891,x41893),x41894),x41895)),f317(f317(f149(x41892,x41896),x41894),x41897)),f317(f317(f149(f905(x41891,x41892),f317(f317(f171(x41891,x41892),x41893),x41896)),x41894),f317(f317(f242(x41891,x41892),x41895),x41897)))
% 183.74/183.90 [4256]E(f317(f317(f317(f249(x42561,x42562,x42563,x42564),x42565),x42566),x42567),f317(f317(f247(x42562,x42563,x42564),x42566),f317(x42565,x42567)))
% 183.74/183.90 [4266]E(f317(f317(f317(f249(x42661,x42662,x42663,x42664),x42665),x42666),x42667),f317(f317(x42666,f317(f241(x42662,x42663),f317(x42665,x42667))),f317(f246(x42662,x42663),f317(x42665,x42667))))
% 183.74/183.90 [4318]E(f317(f67(x43181,x43182,x43183,x43184),f317(f67(x43185,x43181,x43183,x43186),x43187)),f317(f67(x43185,x43182,x43183,f317(f67(x43181,x43182,x43185,x43184),x43186)),x43187))
% 183.74/183.90 [4495]E(f317(f248(x44951,x44952,x44953,x44953,x44954,f25(x44953)),f317(f248(x44951,x44951,x44955,x44953,f25(x44951),x44956),x44957)),f317(f317(f242(x44952,x44953),f317(x44954,f317(f241(x44951,x44955),x44957))),f317(x44956,f317(f246(x44951,x44955),x44957))))
% 183.74/183.90 [4496]E(f317(f248(x44961,x44961,x44962,x44963,f25(x44961),x44964),f317(f248(x44965,x44961,x44962,x44962,x44966,f25(x44962)),x44967)),f317(f317(f242(x44961,x44963),f317(x44966,f317(f241(x44965,x44962),x44967))),f317(x44964,f317(f246(x44965,x44962),x44967))))
% 183.74/183.90 [4512]E(f317(f248(x45121,x45122,x45123,x45123,x45124,f25(x45123)),f317(f248(x45125,x45121,x45123,x45123,x45126,f25(x45123)),x45127)),f317(f248(x45125,x45122,x45123,x45123,f317(f67(x45121,x45122,x45125,x45124),x45126),f25(x45123)),x45127))
% 183.74/183.90 [4513]E(f317(f248(x45131,x45131,x45132,x45133,f25(x45131),x45134),f317(f248(x45131,x45131,x45135,x45132,f25(x45131),x45136),x45137)),f317(f248(x45131,x45131,x45135,x45133,f25(x45131),f317(f67(x45132,x45133,x45135,x45134),x45136)),x45137))
% 183.74/183.90 [4523]E(f317(f248(x45231,x45232,x45233,x45233,x45234,f25(x45233)),f317(f248(x45231,x45231,x45235,x45233,f25(x45231),x45236),x45237)),f317(f248(x45232,x45232,x45235,x45233,f25(x45232),x45236),f317(f248(x45231,x45232,x45235,x45235,x45234,f25(x45235)),x45237)))
% 183.74/183.90 [4223]E(f317(f317(f279(x42231,x42232,x42233),f317(f317(f279(x42231,x42234,x42232),x42235),x42236)),x42237),f317(f317(f279(x42231,x42234,x42233),x42235),f317(f317(f279(x42234,x42232,x42233),x42236),x42237)))
% 183.74/183.90 [4290]E(f317(f317(f247(x42901,x42902,x42903),f317(f67(x42904,f906(x42902,x42903),x42901,x42905),x42906)),x42907),f317(f317(x42905,f317(x42906,f317(f241(x42901,x42902),x42907))),f317(f246(x42901,x42902),x42907)))
% 183.74/183.90 [4371]E(f317(f132(x43711,x43712,f317(f9(x43712,x43711,x43711),x43713),x43714),f317(f158(x43712),f317(f317(f144(x43715,x43712),x43716),x43717))),f317(f132(x43711,x43715,f317(f9(x43715,x43711,x43711),f317(f67(x43712,f906(x43711,x43711),x43715,x43713),x43716)),x43714),f317(f158(x43715),x43717)))
% 183.74/183.90 [4319]E(f317(f317(f35(x43191,f906(f905(x43192,x43193),a895)),x43194),f317(f317(f10(f906(f905(x43195,x43193),a895),f906(f905(x43192,x43193),a895),x43191),f317(f279(x43192,x43195,x43193),x43196)),x43197)),f317(f317(f279(x43192,x43195,x43193),x43196),f317(f317(f35(x43191,f906(f905(x43195,x43193),a895)),x43194),x43197)))
% 183.74/183.90 [4462]E(f317(f317(f35(x44621,f906(f905(x44622,x44623),a895)),x44624),f317(f317(f9(x44621,f906(f905(x44625,x44623),a895),f906(f905(x44622,x44623),a895)),f317(f317(f10(f906(f905(x44622,x44625),a895),f906(f906(f905(x44625,x44623),a895),f906(f905(x44622,x44623),a895)),x44621),f279(x44622,x44625,x44623)),x44626)),x44627)),f317(f317(f279(x44622,x44625,x44623),f317(f317(f35(x44621,f906(f905(x44622,x44625),a895)),x44624),x44626)),x44627))
% 183.74/183.90 [4463]E(f317(f132(x44631,x44632,f317(f317(f9(x44631,f906(x44632,x44633),f906(x44632,x44631)),f317(f317(f10(f906(x44633,x44631),f906(f906(x44632,x44633),f906(x44632,x44631)),x44631),f10(x44633,x44631,x44632)),x44634)),x44635),x44636),x44637),f317(f132(x44631,x44633,x44634,x44636),f317(f317(f144(x44632,x44633),x44635),x44637)))
% 183.74/183.90 [4524]E(f317(f317(f34(x45241,f906(x45242,a895)),x45243),f317(f317(f10(f906(x45244,f906(x45242,a895)),f906(x45242,a895),x45241),f317(f34(x45244,f906(x45242,a895)),x45245)),f317(f317(f9(x45241,f906(x45244,f906(x45242,a895)),f906(x45244,f906(x45242,a895))),f317(f317(f10(f906(f906(x45242,a895),f906(x45242,a895)),f906(f906(x45244,f906(x45242,a895)),f906(x45244,f906(x45242,a895))),x45241),f10(f906(x45242,a895),f906(x45242,a895),x45244)),f317(f317(f10(f906(x45242,a895),f906(f906(x45242,a895),f906(x45242,a895)),x45241),f91(f906(x45242,a895))),x45246))),x45247))),f317(f317(f91(f906(x45242,a895)),f317(f317(f34(x45241,f906(x45242,a895)),x45243),x45246)),f317(f317(f34(x45244,f906(x45242,a895)),x45245),x45247)))
% 183.74/183.90 [4525]E(f317(f317(f35(x45251,f906(x45252,a895)),x45253),f317(f317(f10(f906(x45254,f906(x45252,a895)),f906(x45252,a895),x45251),f317(f35(x45254,f906(x45252,a895)),x45255)),f317(f317(f9(x45251,f906(x45254,f906(x45252,a895)),f906(x45254,f906(x45252,a895))),f317(f317(f10(f906(f906(x45252,a895),f906(x45252,a895)),f906(f906(x45254,f906(x45252,a895)),f906(x45254,f906(x45252,a895))),x45251),f10(f906(x45252,a895),f906(x45252,a895),x45254)),f317(f317(f10(f906(x45252,a895),f906(f906(x45252,a895),f906(x45252,a895)),x45251),f92(f906(x45252,a895))),x45256))),x45257))),f317(f317(f92(f906(x45252,a895)),f317(f317(f35(x45251,f906(x45252,a895)),x45253),x45256)),f317(f317(f35(x45254,f906(x45252,a895)),x45255),x45257)))
% 183.74/183.90 [4517]E(f187(x45171,x45172,f317(f317(f317(x45173,x45174),x45175),x45176),f317(f317(f9(x45171,f905(a89,a89),f906(a89,f901(x45172))),f317(f317(f9(x45171,a89,f906(f905(a89,a89),f906(a89,f901(x45172)))),f317(f317(f9(x45171,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x45172))))),x45177),x45174)),x45175)),x45176)),f317(f317(f317(f199(x45171,x45172,x45173,x45177),x45174),x45175),x45176))
% 183.74/183.90 [4531]E(f188(x45311,x45312,f317(f317(f317(x45313,x45314),x45315),x45316),f317(f317(f9(x45311,f905(a89,a89),f906(a89,f901(x45312))),f317(f317(f9(x45311,a89,f906(f905(a89,a89),f906(a89,f901(x45312)))),f317(f317(f9(x45311,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x45312))))),x45317),x45314)),x45315)),x45316)),f201(x45311,x45312,x45313,x45317,x45314,x45315,x45316))
% 183.74/183.90 [4522]E(f185(x45221,x45222,f317(f317(f317(x45223,x45224),x45225),x45226),f317(f317(f9(x45221,f905(a89,a89),f906(a89,f901(f902(x45222)))),f317(f317(f9(x45221,a89,f906(f905(a89,a89),f906(a89,f901(f902(x45222))))),f317(f317(f9(x45221,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x45222)))))),x45227),x45224)),x45225)),x45226)),f317(f317(f317(f195(x45221,x45222,x45223,x45227),x45224),x45225),x45226))
% 183.74/183.90 [4533]E(f186(x45331,x45332,f317(f317(f317(x45333,x45334),x45335),x45336),f317(f317(f9(x45331,f905(a89,a89),f906(a89,f901(f902(x45332)))),f317(f317(f9(x45331,a89,f906(f905(a89,a89),f906(a89,f901(f902(x45332))))),f317(f317(f9(x45331,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x45332)))))),x45337),x45334)),x45335)),x45336)),f197(x45331,x45332,x45333,x45337,x45334,x45335,x45336))
% 183.74/183.90 [4432]E(f317(f248(x44321,x44322,x44323,x44324,x44325,x44326),f317(f317(f242(x44321,x44323),x44327),x44328)),f317(f317(f242(x44322,x44324),f317(x44325,x44327)),f317(x44326,x44328)))
% 183.74/183.90 [4535]E(f317(f317(f144(f905(x45351,x45352),f905(x45353,x45354)),f317(f247(x45351,x45352,f905(x45353,x45354)),f317(f317(f9(x45351,f906(x45352,x45354),f906(x45352,f905(x45353,x45354))),f317(f317(f10(f906(x45354,f905(x45353,x45354)),f906(f906(x45352,x45354),f906(x45352,f905(x45353,x45354))),x45351),f10(x45354,f905(x45353,x45354),x45352)),f317(f317(f10(x45353,f906(x45354,f905(x45353,x45354)),x45351),f242(x45353,x45354)),x45355))),x45356))),f317(f317(f171(x45351,x45352),x45357),x45358)),f317(f317(f171(x45353,x45354),f317(f317(f144(x45351,x45353),x45355),x45357)),f317(f317(f144(x45352,x45354),x45356),x45358)))
% 183.74/183.90 [4538]E(f317(f317(f144(f905(x45381,x45382),x45383),f317(f247(x45381,x45382,x45383),f317(f317(f10(f906(x45382,f905(x45381,x45384)),f906(x45382,x45383),x45381),f317(f10(f905(x45381,x45384),x45383,x45382),x45385)),f317(f317(f9(x45381,f906(x45382,x45384),f906(x45382,f905(x45381,x45384))),f317(f317(f10(f906(x45384,f905(x45381,x45384)),f906(f906(x45382,x45384),f906(x45382,f905(x45381,x45384))),x45381),f10(x45384,f905(x45381,x45384),x45382)),f242(x45381,x45384))),x45386)))),f317(f317(f171(x45381,x45382),x45387),x45388)),f317(f317(f144(f905(x45381,x45384),x45383),x45385),f317(f317(f171(x45381,x45384),x45387),f317(f317(f144(x45382,x45384),x45386),x45388))))
% 183.74/183.90 [4466]E(f317(f317(f144(f905(x44661,x44662),x44663),f317(f247(x44661,x44662,x44663),f317(f317(f10(f906(x44662,f905(x44664,x44662)),f906(x44662,x44663),x44661),f317(f10(f905(x44664,x44662),x44663,x44662),x44665)),f317(f317(f10(x44664,f906(x44662,f905(x44664,x44662)),x44661),f242(x44664,x44662)),x44666)))),f317(f317(f171(x44661,x44662),x44667),x44668)),f317(f317(f144(f905(x44664,x44662),x44663),x44665),f317(f317(f171(x44664,x44662),f317(f317(f144(x44661,x44664),x44666),x44667)),x44668)))
% 183.74/183.90 [4423]E(f317(f317(f247(x44231,x44232,x44233),f317(f317(f10(f906(x44232,f905(x44234,x44235)),f906(x44232,x44233),x44231),f317(f10(f905(x44234,x44235),x44233,x44232),f317(f247(x44234,x44235,x44233),x44236))),x44237)),x44238),f317(f317(f247(x44234,x44235,x44233),x44236),f317(f317(f247(x44231,x44232,f905(x44234,x44235)),x44237),x44238)))
% 183.74/183.90 [4539]E(f317(f317(f35(f905(x45391,x45392),f906(f905(x45393,x45394),a895)),f317(f317(f244(x45391,x45392),x45395),f317(f18(f906(x45392,a895),x45391),x45396))),f317(f247(x45391,x45392,f906(f905(x45393,x45394),a895)),f317(f317(f9(x45391,f906(x45392,f906(x45393,f906(x45394,a895))),f906(x45392,f906(f905(x45393,x45394),a895))),f317(f317(f10(f906(f906(x45393,f906(x45394,a895)),f906(f905(x45393,x45394),a895)),f906(f906(x45392,f906(x45393,f906(x45394,a895))),f906(x45392,f906(f905(x45393,x45394),a895))),x45391),f10(f906(x45393,f906(x45394,a895)),f906(f905(x45393,x45394),a895),x45392)),f317(f317(f10(f906(x45393,a895),f906(f906(x45393,f906(x45394,a895)),f906(f905(x45393,x45394),a895)),x45391),f244(x45393,x45394)),x45397))),f317(f317(f10(f906(x45394,a895),f906(x45393,f906(x45394,a895)),x45392),f18(f906(x45394,a895),x45393)),x45398)))),f317(f317(f244(x45393,x45394),f317(f317(f35(x45391,f906(x45393,a895)),x45395),x45397)),f317(f18(f906(x45394,a895),x45393),f317(f317(f35(x45392,f906(x45394,a895)),x45396),x45398))))
% 183.74/183.90 [4480]E(f317(f317(f249(x44801,x44802,x44803,x44804),f317(f317(f249(x44801,x44805,x44806,f905(x44802,x44803)),x44807),x44808)),x44809),f317(f317(f249(x44801,x44805,x44806,x44804),x44807),f317(f317(f9(x44805,f906(x44802,f906(x44803,x44804)),f906(x44806,x44804)),f317(f317(f10(f906(x44806,f905(x44802,x44803)),f906(f906(x44802,f906(x44803,x44804)),f906(x44806,x44804)),x44805),f249(x44806,x44802,x44803,x44804)),x44808)),x44809)))
% 183.74/183.90 [4509]E(f317(f67(f905(x45091,x45092),f905(x45093,x45094),f905(x45095,x45096),f248(x45091,x45093,x45092,x45094,x45097,x45098)),f248(x45095,x45091,x45096,x45092,x45099,x450910)),f248(x45095,x45093,x45096,x45094,f317(f67(x45091,x45093,x45095,x45097),x45099),f317(f67(x45092,x45094,x45096,x45098),x450910)))
% 183.74/183.90 [4515]E(f317(f248(x45151,x45152,x45153,x45154,x45155,x45156),f317(f248(x45157,x45151,x45158,x45153,x45159,x451510),x451511)),f317(f248(x45157,x45152,x45158,x45154,f317(f67(x45151,x45152,x45157,x45155),x45159),f317(f67(x45153,x45154,x45158,x45156),x451510)),x451511))
% 183.74/183.90 [4642]~P2(x46421)+P2(f902(x46421))
% 183.74/183.90 [4643]~P60(x46431)+P60(f902(x46431))
% 183.74/183.90 [4644]~P104(x46441)+P104(f900(x46441))
% 183.74/183.90 [4647]~P144(x46471)+~E(f72(x46471),f2(x46471))
% 183.74/183.90 [4649]~E(x46491,f2(a89))+E(f317(a24,x46491),f2(a1))
% 183.74/183.90 [4650]~E(x46501,f2(a1))+E(f76(a1,x46501),f2(a1))
% 183.74/183.90 [4656]~P145(x46561)+P27(x46561,f2(x46561))
% 183.74/183.90 [4658]~P107(x46581)+P13(x46581,f103(x46581))
% 183.74/183.90 [4667]P1(x46671)+P1(f317(a312,x46671))
% 183.74/183.90 [4721]~P145(x47211)+~P27(x47211,f72(x47211))
% 183.74/183.90 [4758]~P1(x47581)+~P1(f317(a312,x47581))
% 183.74/183.90 [4779]E(f317(a95,x47791),f2(a899))+~P1(f317(a183,x47791))
% 183.74/183.90 [4845]~P68(x48451)+P16(x48451,x48451,f75(x48451))
% 183.74/183.90 [4846]~P96(x48461)+P14(x48461,x48461,f75(x48461))
% 183.74/183.90 [4847]~P107(x48471)+P14(x48471,x48471,f228(x48471))
% 183.74/183.90 [4848]~P97(x48481)+P14(x48481,x48481,f91(x48481))
% 183.74/183.90 [4849]~P107(x48491)+P14(x48491,x48491,f223(x48491))
% 183.74/183.90 [4850]~P103(x48501)+P14(x48501,x48501,f92(x48501))
% 183.74/183.90 [4653]~E(x46531,f2(a899))+E(f317(f90(a1),x46531),f2(a1))
% 183.74/183.90 [4660]~P93(x46601)+E(f317(f94(x46601),a77),f2(x46601))
% 183.74/183.90 [4663]~E(f564(x46631),f2(a899))+E(f317(f155(a899),x46631),f2(a899))
% 183.74/183.90 [4664]~P108(x46641)+E(f226(x46641,f224(x46641)),f228(x46641))
% 183.74/183.90 [4665]~P108(x46651)+E(f227(x46651,f224(x46651)),f223(x46651))
% 183.74/183.90 [4666]~P89(x46661)+E(f76(x46661,f2(x46661)),f2(x46661))
% 183.74/183.90 [4675]~P145(x46751)+E(f317(f90(x46751),f72(a899)),f72(x46751))
% 183.74/183.90 [4676]~P145(x46761)+E(f317(f90(x46761),f2(a899)),f2(x46761))
% 183.74/183.90 [4677]~P141(x46771)+E(f317(f93(x46771),f72(a1)),f72(x46771))
% 183.74/183.90 [4678]~P141(x46781)+E(f317(f93(x46781),f2(a1)),f2(x46781))
% 183.74/183.90 [4679]E(x46791,f2(a899))+~E(f317(f90(a1),x46791),f2(a1))
% 183.74/183.90 [4715]~P113(x47151)+E(f317(f70(x47151),f72(x47151)),f72(x47151))
% 183.74/183.90 [4716]~P85(x47161)+E(f317(f70(x47161),f2(x47161)),f2(x47161))
% 183.74/183.90 [4717]~P95(x47171)+E(f317(f73(x47171),f178(x47171)),f232(x47171))
% 183.74/183.90 [4718]~P75(x47181)+E(f317(f73(x47181),f2(x47181)),f2(x47181))
% 183.74/183.90 [4719]~P95(x47191)+E(f317(f73(x47191),f232(x47191)),f178(x47191))
% 183.74/183.90 [4720]~P81(x47201)+E(f317(f155(x47201),f103(x47201)),f2(x47201))
% 183.74/183.90 [4738]~P35(x47381)+P39(f317(f162(a1),x47381))
% 183.74/183.90 [4763]~P93(x47631)+E(f317(f73(x47631),f72(x47631)),f317(f94(x47631),a87))
% 183.74/183.90 [4778]~P93(x47781)+P27(x47781,f317(f94(x47781),a77))
% 183.74/183.90 [4804]P35(x48041)+~P39(f317(f162(a1),x48041))
% 183.74/183.90 [4851]E(f317(f90(a1),f317(a95,x48511)),x48511)+P1(f317(a183,x48511))
% 183.74/183.90 [4921]~P115(x49211)+E(f235(x49211,f72(x49211),f75(x49211)),f234(x49211))
% 183.74/183.90 [4954]~P93(x49541)+~P27(x49541,f317(f94(x49541),a87))
% 183.74/183.90 [5107]E(f317(f70(a1),x51071),x51071)+P1(f317(f317(f225(a1),x51071),f2(a1)))
% 183.74/183.90 [5125]~E(f317(a95,x51251),f2(a899))+P1(f317(f317(f224(a1),x51251),f2(a1)))
% 183.74/183.90 [5191]~P1(f317(a183,x51911))+P1(f317(f317(f225(a1),x51911),f2(a1)))
% 183.74/183.90 [5231]~P141(x52311)+P1(f317(f317(f319(x52311),f72(x52311)),f100(x52311)))
% 183.74/183.90 [5232]~P145(x52321)+P1(f317(f317(f319(x52321),f72(x52321)),f176(x52321)))
% 183.74/183.90 [5233]~P141(x52331)+P1(f317(f317(f319(x52331),f2(x52331)),f100(x52331)))
% 183.74/183.90 [5234]~P145(x52341)+P1(f317(f317(f319(x52341),f2(x52341)),f176(x52341)))
% 183.74/183.90 [5235]~P112(x52351)+P1(f317(f317(f224(x52351),f2(x52351)),f72(x52351)))
% 183.74/183.90 [5236]~P112(x52361)+P1(f317(f317(f225(x52361),f2(x52361)),f72(x52361)))
% 183.74/183.90 [5288]E(x52881,f72(a899))+~P1(f317(f317(f277(a899),x52881),f72(a899)))
% 183.74/183.90 [5289]E(x52891,f2(a899))+~P1(f317(f317(f224(a899),x52891),f2(a899)))
% 183.74/183.90 [5331]E(f317(a95,x53311),f2(a899))+~P1(f317(f317(f224(a1),x53311),f2(a1)))
% 183.74/183.90 [5389]P1(f317(a183,x53891))+~P1(f317(f317(f225(a1),x53891),f2(a1)))
% 183.74/183.90 [5396]~P107(x53961)+P16(x53961,f900(x53961),f138(x53961,x53961,f7(x53961)))
% 183.74/183.90 [5414]P39(x54141)+~P1(f317(f317(f224(a1),f2(a1)),f323(x54141)))
% 183.74/183.90 [5419]E(f317(f70(a1),x54191),f317(f73(a1),x54191))+~P1(f317(f317(f225(a1),x54191),f2(a1)))
% 183.74/183.90 [5591]~P112(x55911)+~P1(f317(f317(f224(x55911),f72(x55911)),f2(x55911)))
% 183.74/183.90 [5592]~P112(x55921)+~P1(f317(f317(f225(x55921),f72(x55921)),f2(x55921)))
% 183.74/183.90 [5608]~E(x56081,f2(a899))+P1(f317(f317(f224(a1),f317(f90(a1),x56081)),f2(a1)))
% 183.74/183.90 [5609]~E(x56091,f2(a1))+P1(f317(f317(f225(a1),f317(f70(a1),x56091)),f72(a1)))
% 183.74/183.90 [5731]~P81(x57311)+E(f132(x57311,x57311,f74(x57311),f2(x57311)),f155(x57311))
% 183.74/183.90 [5914]~P94(x59141)+P24(a899,x59141,f90(x59141),f232(f906(a899,a895)))
% 183.74/183.90 [6121]E(x61211,f2(a899))+~P1(f317(f317(f224(a1),f317(f90(a1),x61211)),f2(a1)))
% 183.74/183.90 [6122]E(x61221,f2(a1))+~P1(f317(f317(f225(a1),f317(f70(a1),x61221)),f72(a1)))
% 183.74/183.90 [6945]~P1(f317(f317(f225(a1),x69451),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x69451),x69451)),f2(a1)))
% 183.74/183.90 [7507]P1(f317(f317(f225(a1),x75071),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x75071),x75071)),f2(a1)))
% 183.74/183.90 [8058]E(x80581,f317(a5,f2(a899)))+P1(f317(f317(f225(a899),f317(f317(f3(a899),f317(a22,x80581)),f317(a102,f2(a899)))),f317(a22,x80581)))
% 183.74/183.90 [8825]~P1(f317(f317(f225(a1),x88251),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88251),x88251)),a87)),f2(a1)))
% 183.74/183.90 [8922]~P1(f317(f317(f225(a1),x89221),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89221)),x89221)),f2(a1)))
% 183.74/183.90 [9240]P1(f317(f317(f225(a1),x92401),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92401),x92401)),a87)),f2(a1)))
% 183.74/183.90 [9302]P1(f317(f317(f225(a1),x93021),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x93021)),x93021)),f2(a1)))
% 183.74/183.90 [4752]~E(a77,x47521)+E(f317(f317(f74(a1),x47521),x47521),a77)
% 183.74/183.90 [4753]~E(x47531,a77)+E(f317(f317(f74(a1),x47531),x47531),a77)
% 183.74/183.90 [4764]E(x47641,f2(a1))+E(f317(f317(f30(a1),x47641),x47641),f72(a1))
% 183.74/183.90 [4898]E(x48981,a77)+~E(f317(f317(f74(a1),x48981),x48981),a77)
% 183.74/183.90 [4899]E(a77,x48991)+~E(f317(f317(f74(a1),x48991),x48991),a77)
% 183.74/183.90 [4911]~P5(x49111)+E(f31(x49111,f178(f906(x49111,a895))),f178(x49111))
% 183.74/183.90 [4912]~P5(x49121)+E(f31(x49121,f232(f906(x49121,a895))),f232(x49121))
% 183.74/183.90 [4913]~P5(x49131)+E(f32(x49131,f178(f906(x49131,a895))),f232(x49131))
% 183.74/183.90 [4914]~P5(x49141)+E(f32(x49141,f232(f906(x49141,a895))),f178(x49141))
% 183.74/183.90 [4915]~P107(x49151)+E(f129(x49151,f178(f906(x49151,a895))),f103(x49151))
% 183.74/183.90 [5062]E(x50621,f2(a899))+P1(f317(f317(f225(a899),f2(a899)),x50621))
% 183.74/183.90 [5082]~P6(x50821)+P1(f317(f317(f224(a1),f2(a1)),x50821))
% 183.74/183.90 [5116]~E(f317(f94(a899),x51161),f2(a899))+P1(f317(f317(f224(a1),x51161),a77))
% 183.74/183.90 [5121]P39(x51211)+P1(f317(f317(f319(a1),f323(x51211)),x51211))
% 183.74/183.90 [5122]E(x51221,f317(a5,f2(a899)))+P1(f317(f317(f224(a89),f72(a89)),x51221))
% 183.74/183.90 [5163]P1(f317(a183,x51631))+P1(f317(f317(f224(a1),f2(a1)),x51631))
% 183.74/183.90 [5213]E(f317(f90(a1),f317(a95,x52131)),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x52131))
% 183.74/183.90 [5270]E(f317(f90(a1),f317(f94(a899),x52701)),f317(f94(a1),x52701))+P1(f317(a183,f317(f94(a1),x52701)))
% 183.74/183.90 [5295]E(f317(f94(a899),x52951),f2(a899))+~P1(f317(a183,f317(f94(a1),x52951)))
% 183.74/183.90 [5296]E(f317(f94(a899),x52961),f2(a899))+~P1(f317(f317(f224(a1),x52961),a77))
% 183.74/183.90 [5328]P6(x53281)+~P1(f317(f317(f224(a1),f2(a1)),x53281))
% 183.74/183.90 [5384]P150(f222(a896,f33(x53841)))+~P1(f317(f317(f319(a897),x53841),a907))
% 183.74/183.90 [5399]E(f317(a102,f582(x53991)),x53991)+~P1(f317(f317(f225(a899),f2(a899)),x53991))
% 183.74/183.90 [5408]E(f317(a102,f317(f94(a899),x54081)),f72(a899))+~P1(f317(a183,f317(f94(a1),x54081)))
% 183.74/183.90 [5415]E(f317(f90(a1),f880(x54151)),x54151)+~P1(f317(f317(f225(a1),f2(a1)),x54151))
% 183.74/183.90 [5422]~E(x54221,f317(a5,f2(a899)))+~P1(f317(f317(f224(a89),f72(a89)),x54221))
% 183.74/183.90 [5429]E(f317(f90(a1),f317(f94(a899),x54291)),f2(a1))+~P1(f317(a183,f317(f94(a1),x54291)))
% 183.74/183.90 [5455]E(f317(f155(a899),x54551),f2(a899))+P1(f317(f317(f319(a899),f564(x54551)),f317(f162(a899),x54551)))
% 183.74/183.90 [5476]E(f317(f90(a1),f317(a95,x54761)),x54761)+~P1(f317(f317(f224(a1),f2(a1)),x54761))
% 183.74/183.90 [5484]~P1(f317(a183,x54841))+~P1(f317(f317(f224(a1),f2(a1)),x54841))
% 183.74/183.90 [5584]E(f317(f317(f74(a899),f72(a899)),f317(f94(a899),x55841)),f72(a899))+~P1(f317(f317(f225(a1),x55841),a77))
% 183.74/183.90 [5650]E(x56501,f2(a899))+~P1(f317(f317(f225(a899),x56501),f317(a102,f2(a899))))
% 183.74/183.90 [5672]E(x56721,f317(a102,f2(a899)))+~P1(f317(f317(f277(a899),x56721),f317(a102,f2(a899))))
% 183.74/183.90 [5690]E(f317(f317(f3(a899),f317(f94(a899),x56901)),f72(a899)),f2(a899))+~P1(f317(f317(f224(a1),x56901),a77))
% 183.74/183.90 [5691]E(f317(f317(f74(a899),f317(f94(a899),x56911)),f72(a899)),f72(a899))+~P1(f317(f317(f225(a1),x56911),a77))
% 183.74/183.90 [5703]~P39(x57031)+E(f317(f29(a899),f317(f300(a1,a899,a95),x57031)),f317(f29(a1),x57031))
% 183.74/183.90 [5732]~P107(x57321)+E(f226(x57321,f317(f9(x57321,x57321,a895),f224(x57321))),f223(x57321))
% 183.74/183.90 [5733]~P107(x57331)+E(f227(x57331,f317(f9(x57331,x57331,a895),f224(x57331))),f228(x57331))
% 183.74/183.90 [5743]E(f40(a899,f317(a102,f2(a899)),f317(f94(a899),x57431)),f317(a102,f2(a899)))+~P1(f317(a183,f317(f94(a1),x57431)))
% 183.74/183.90 [5752]~P1(f317(f317(f225(a1),f2(a1)),x57521))+P1(f317(f317(f224(a1),f72(a1)),x57521))
% 183.74/183.90 [5753]P1(f317(f317(f225(a1),f2(a1)),x57531))+~P1(f317(f317(f224(a1),f72(a1)),x57531))
% 183.74/183.90 [5764]E(f317(a102,f317(f317(f3(a899),x57641),f72(a899))),x57641)+~P1(f317(f317(f225(a899),f2(a899)),x57641))
% 183.74/183.90 [5820]P1(f317(f317(f225(a899),f2(a899)),f880(x58201)))+~P1(f317(f317(f225(a1),f2(a1)),x58201))
% 183.74/183.90 [5881]E(f40(a1,f317(f94(a1),a87),x58811),f317(f317(f3(a1),x58811),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x58811))
% 183.74/183.90 [5927]~P1(f317(f317(f225(a1),a77),x59271))+P1(f317(f317(f225(a899),f2(a899)),f317(f94(a899),x59271)))
% 183.74/183.90 [5932]E(f317(a22,f798(x59321)),x59321)+~P1(f317(f317(f319(a899),x59321),f232(f906(a899,a895))))
% 183.74/183.90 [5985]P1(f317(f317(f225(a899),f2(a899)),f317(a95,x59851)))+~P1(f317(f317(f225(a1),f2(a1)),x59851))
% 183.74/183.90 [6036]~P1(f317(f317(f225(a899),f2(a899)),x60361))+P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x60361)))
% 183.74/183.90 [6072]~P1(f317(f317(f225(a899),f2(a899)),f317(a95,x60721)))+P1(f317(f317(f225(a1),f2(a1)),x60721))
% 183.74/183.90 [6087]~P39(x60871)+E(f317(f300(a899,a1,f90(a1)),f317(f300(a1,a899,a95),x60871)),x60871)
% 183.74/183.90 [6100]P1(f317(f317(f225(a1),a77),x61001))+~P1(f317(f317(f225(a899),f2(a899)),f317(f94(a899),x61001)))
% 183.74/183.90 [6159]P1(f317(f317(f225(a899),f2(a899)),x61591))+~P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x61591)))
% 183.74/183.90 [6277]E(f317(f300(a899,a1,f90(a1)),f317(f272(a899),f317(a95,x62771))),f317(f292(a1,f2(a1)),x62771))+~P1(f317(f317(f224(a1),f2(a1)),x62771))
% 183.74/183.90 [6294]~P112(x62941)+P1(f317(f317(f225(x62941),f2(x62941)),f317(f317(f74(x62941),f72(x62941)),f72(x62941))))
% 183.74/183.90 [6345]P1(f317(f317(f225(a899),f317(a102,f2(a899))),f317(a95,x63451)))+~P1(f317(f317(f225(a1),f72(a1)),x63451))
% 183.74/183.90 [6447]E(x64471,f2(a1))+P1(f317(f44(f2(a1),x64471),f317(f317(f242(a1,a1),f2(a1)),f2(a1))))
% 183.74/183.90 [6621]~P1(f317(f317(f225(a899),f317(a102,f2(a899))),f317(a95,x66211)))+P1(f317(f317(f225(a1),f72(a1)),x66211))
% 183.74/183.90 [7062]~P117(x70621)+P36(x70621,f317(f252(f905(x70621,x70621)),f317(f247(x70621,x70621,a895),f225(x70621))))
% 183.74/183.90 [5637]E(f317(f94(a899),f317(f317(f3(a1),x56371),a87)),f317(a102,f317(f94(a899),x56371)))+P1(f317(a183,f317(f94(a1),x56371)))
% 183.74/183.90 [5653]~P35(x56531)+E(f317(f317(f144(a899,a1),f90(a1)),f317(f317(f144(a1,a899),a95),x56531)),x56531)
% 183.74/183.90 [5770]E(f317(f73(a1),f317(f90(a1),f317(a102,f333(x57701)))),x57701)+~P1(f317(f317(f225(a1),x57701),f2(a1)))
% 183.74/183.90 [5780]E(f317(f317(f74(a899),f72(a899)),f317(f94(a899),x57801)),f317(f94(a899),f317(f317(f3(a1),x57801),a87)))+P1(f317(f317(f225(a1),x57801),a77))
% 183.74/183.90 [5822]E(f317(f317(f30(a1),f317(f94(a1),a87)),x58221),f317(f94(a1),a87))+~P1(f317(f317(f225(a1),f2(a1)),x58221))
% 183.74/183.90 [5923]E(f317(f317(f3(a899),f317(f94(a899),x59231)),f72(a899)),f317(f94(a899),f317(f317(f74(a1),x59231),a87)))+P1(f317(f317(f224(a1),x59231),a77))
% 183.74/183.90 [5924]E(f317(f317(f74(a899),f317(f94(a899),x59241)),f72(a899)),f317(f94(a899),f317(f317(f3(a1),x59241),a87)))+P1(f317(f317(f225(a1),x59241),a77))
% 183.74/183.90 [5970]E(f317(a95,f317(f317(f74(a1),f72(a1)),x59701)),f317(a102,f317(a95,x59701)))+~P1(f317(f317(f224(a1),f2(a1)),x59701))
% 183.74/183.90 [6007]E(f317(a102,f317(f317(f3(a899),x60071),f317(a102,f2(a899)))),x60071)+~P1(f317(f317(f225(a899),f2(a899)),x60071))
% 183.74/183.90 [6226]E(f40(a899,f317(a102,f2(a899)),f317(f94(a899),x62261)),f317(a95,f40(a1,f72(a1),f317(f94(a1),x62261))))+P1(f317(a183,f317(f94(a1),x62261)))
% 183.74/183.90 [6270]~P1(f317(f317(f224(a1),a77),x62701))+P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x62701),x62701)))
% 183.74/183.90 [6271]~P1(f317(f317(f225(a1),a87),x62711))+P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x62711),x62711)))
% 183.74/183.90 [6272]~P1(f317(f317(f225(a1),a77),x62721))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x62721),x62721)))
% 183.74/183.90 [6273]~P1(f317(f317(f225(a1),a87),x62731))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x62731),x62731)))
% 183.74/183.90 [6461]~P1(f317(f28(x64611),f232(f906(x64611,a895))))+P1(f317(f28(f902(x64611)),f232(f906(f902(x64611),a895))))
% 183.74/183.90 [6548]~P1(f317(f317(f224(a1),f2(a1)),x65481))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65481)))
% 183.74/183.90 [6555]E(f317(f241(a1,a1),f42(f72(a1),f317(f94(a1),x65551))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x65551)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65551)))
% 183.74/183.90 [6580]E(f317(f246(a1,a1),f42(f72(a1),f317(f94(a1),x65801))),f40(a1,f72(a1),f317(f94(a1),x65801)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65801)))
% 183.74/183.90 [6592]P1(f317(f28(x65921),f232(f906(x65921,a895))))+~P1(f317(f28(f902(x65921)),f232(f906(f902(x65921),a895))))
% 183.74/183.90 [6622]P1(f317(f317(f224(a1),a77),x66221))+~P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x66221),x66221)))
% 183.74/183.90 [6623]P1(f317(f317(f225(a1),a77),x66231))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x66231),x66231)))
% 183.74/183.90 [6624]P1(f317(f317(f225(a1),a87),x66241))+~P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x66241),x66241)))
% 183.74/183.90 [6625]P1(f317(f317(f225(a1),a87),x66251))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x66251),x66251)))
% 183.74/183.90 [6949]~P1(f317(f28(x69491),f232(f906(x69491,a895))))+P1(f317(f317(f225(a899),f2(a899)),f317(f29(x69491),f232(f906(x69491,a895)))))
% 183.74/183.90 [7545]P1(f317(f28(a899),x75451))+~P1(f317(f28(a1),f317(f300(a899,a1,f90(a1)),x75451)))
% 183.74/183.90 [5560]~E(a87,x55601)+E(f317(f317(f3(a1),f317(f317(f74(a1),x55601),x55601)),a87),a87)
% 183.74/183.90 [5561]~E(x55611,a87)+E(f317(f317(f3(a1),f317(f317(f74(a1),x55611),x55611)),a87),a87)
% 183.74/183.90 [6095]E(x60951,a87)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x60951),x60951)),a87),a87)
% 183.74/183.90 [6096]E(a87,x60961)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x60961),x60961)),a87),a87)
% 183.74/183.90 [6517]~E(f317(f94(a899),x65171),f2(a899))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x65171),a87))))
% 183.74/183.90 [6879]~P1(f317(a183,f317(f94(a1),x68791)))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x68791),x68791))))
% 183.74/183.90 [6880]~P1(f317(f317(f224(a1),x68801),a77))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68801),x68801)),a77))
% 183.74/183.90 [6881]~P1(f317(f317(f224(a1),x68811),a87))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68811),x68811)),a87))
% 183.74/183.90 [6882]~P1(f317(f317(f225(a1),x68821),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68821),x68821)),a77))
% 183.74/183.90 [6883]~P1(f317(f317(f224(a1),x68831),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68831),x68831)),a87))
% 183.74/183.90 [7208]E(f317(f94(a899),x72081),f2(a899))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x72081),a87))))
% 183.74/183.90 [7460]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x74601)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),x74601),x74601))))
% 183.74/183.90 [7461]P1(f317(a183,f317(f94(a1),x74611)))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x74611),x74611))))
% 183.74/183.90 [7462]P1(f317(f317(f224(a1),x74621),a77))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74621),x74621)),a77))
% 183.74/183.90 [7463]P1(f317(f317(f224(a1),x74631),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74631),x74631)),a87))
% 183.74/183.90 [7464]P1(f317(f317(f224(a1),x74641),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74641),x74641)),a87))
% 183.74/183.90 [7465]P1(f317(f317(f225(a1),x74651),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74651),x74651)),a77))
% 183.74/183.90 [7827]E(f317(a97,f513(x78271)),x78271)+~P1(f317(f317(f319(f906(f905(a899,a899),a895)),x78271),a88))
% 183.74/183.90 [6434]~P93(x64341)+E(f317(f94(x64341),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64341))
% 183.74/183.90 [6929]~P1(f317(a183,f317(f94(a1),x69291)))+E(f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x69291),x69291)),a87)),f2(a899))
% 183.74/183.90 [8003]~P1(f317(f317(f225(a1),f317(f94(a1),x80031)),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80031))))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x80031)))
% 183.74/183.90 [8016]~P1(f317(f317(f225(a1),f317(f94(a1),x80161)),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80161))))),f40(a1,f72(a1),f317(f94(a1),x80161)))
% 183.74/183.90 [8065]~P1(f317(f317(f224(a1),a77),x80651))+P1(f317(f317(f224(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x80651),x80651)),a87)))
% 183.74/183.90 [8066]~P1(f317(f317(f224(a1),a87),x80661))+P1(f317(f317(f224(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x80661),x80661)),a87)))
% 183.74/183.90 [8067]~P1(f317(f317(f224(a1),a77),x80671))+P1(f317(f317(f225(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x80671),x80671)),a87)))
% 183.74/183.90 [8068]~P1(f317(f317(f225(a1),a87),x80681))+P1(f317(f317(f225(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x80681),x80681)),a87)))
% 183.74/183.90 [8366]~P93(x83661)+~P27(x83661,f317(f94(x83661),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 183.74/183.90 [8550]P1(f317(f317(f224(a1),a77),x85501))+~P1(f317(f317(f224(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x85501),x85501)),a87)))
% 183.74/183.90 [8551]P1(f317(f317(f224(a1),a77),x85511))+~P1(f317(f317(f225(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x85511),x85511)),a87)))
% 183.74/183.90 [8552]P1(f317(f317(f224(a1),a87),x85521))+~P1(f317(f317(f224(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x85521),x85521)),a87)))
% 183.74/183.90 [8553]P1(f317(f317(f225(a1),a87),x85531))+~P1(f317(f317(f225(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x85531),x85531)),a87)))
% 183.74/183.90 [8872]E(f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x88721),x88721)),a87)),f317(f317(f80(a899,a899),f317(f94(a899),x88721)),f317(f317(f10(a899,a899,a899),a102),f317(f317(f20(a899,a899,a899),f74(a899)),f7(a899)))))+P1(f317(a183,f317(f94(a1),x88721)))
% 183.74/183.90 [9740]E(x97401,f178(f906(f905(a899,a899),a895)))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x97401),f178(f906(f905(a899,a899),a895)))),a63))
% 183.74/183.90 [8799]~P1(f317(a183,f317(f94(a1),x87991)))+P1(f317(a183,f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x87991),x87991)),a87))))
% 183.74/183.90 [8800]~P1(f317(f317(f225(a1),x88001),a77))+P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88001),x88001)),a87)),a77))
% 183.74/183.90 [8801]~P1(f317(f317(f224(a1),x88011),a87))+P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88011),x88011)),a87)),a87))
% 183.74/183.90 [8802]~P1(f317(f317(f225(a1),x88021),a77))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88021),x88021)),a87)),a77))
% 183.74/183.90 [8803]~P1(f317(f317(f225(a1),x88031),a87))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88031),x88031)),a87)),a87))
% 183.74/183.90 [8913]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x89131)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89131),x89131)),a87))))
% 183.74/183.90 [9071]~P93(x90711)+E(f317(f317(f74(x90711),f72(x90711)),f72(x90711)),f317(f94(x90711),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 183.74/183.90 [9224]P1(f317(a183,f317(f94(a1),x92241)))+~P1(f317(a183,f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92241),x92241)),a87))))
% 183.74/183.90 [9225]P1(f317(f317(f224(a1),x92251),a87))+~P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92251),x92251)),a87)),a87))
% 183.74/183.90 [9226]P1(f317(f317(f225(a1),x92261),a77))+~P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92261),x92261)),a87)),a77))
% 183.74/183.90 [9227]P1(f317(f317(f225(a1),x92271),a77))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92271),x92271)),a87)),a77))
% 183.74/183.90 [9228]P1(f317(f317(f225(a1),x92281),a87))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92281),x92281)),a87)),a87))
% 183.74/183.90 [9785]~P1(f317(f28(f905(a899,a899)),x97851))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),x97851)),a64))
% 183.74/183.90 [9561]~P145(x95611)+E(f317(f317(f234(x95611),f72(x95611)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95611))
% 183.74/183.90 [9562]~P145(x95621)+E(f317(f317(f234(x95621),f2(x95621)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95621))
% 183.74/183.90 [10009]~P1(f317(f317(f225(a899),f72(a899)),x100091))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f30(a899),x100091),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 183.74/183.90 [10015]~P1(f317(f317(f225(a899),f2(a899)),x100151))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f30(a899),f317(f317(f74(a899),x100151),f72(a899))),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 183.74/183.90 [10053]~E(f40(a899,x100531,f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a899))+P1(f317(f317(f225(a899),f2(a899)),f40(a899,x100531,f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 183.74/183.90 [10083]E(f40(a899,x100831,f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a899))+~P1(f317(f317(f225(a899),f2(a899)),f40(a899,x100831,f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 183.74/183.90 [4684]~P7(x46841,x46842)+P42(x46841,x46842)
% 183.74/183.90 [4685]~P36(x46851,x46852)+P57(x46851,x46852)
% 183.74/183.90 [4686]~P43(x46861,x46862)+P57(x46861,x46862)
% 183.74/183.90 [4688]~P7(x46881,x46882)+P49(x46881,x46882)
% 183.74/183.90 [4690]~P15(x46901,x46902)+P49(x46901,x46902)
% 183.74/183.90 [4692]~P7(x46921,x46922)+P50(x46921,x46922)
% 183.74/183.90 [4694]~P15(x46941,x46942)+P50(x46941,x46942)
% 183.74/183.90 [4695]~P7(x46951,x46952)+P15(x46951,x46952)
% 183.74/183.90 [4645]~E(x46451,x46452)+E(f259(x46451,x46452),f72(a89))
% 183.74/183.90 [4648]E(f206(x46481,x46482),x46481)+~E(x46482,f2(a899))
% 183.74/183.90 [4655]~E(x46552,f103(x46551))+E(f142(x46551,x46552),f103(x46551))
% 183.74/183.90 [4674]~E(f142(x46742,x46741),f103(x46742))+E(x46741,f103(x46742))
% 183.74/183.90 [4699]~P65(x46992)+P65(f906(x46991,x46992))
% 183.74/183.90 [4700]~P106(x47002)+P106(f906(x47001,x47002))
% 183.74/183.90 [4701]~P108(x47012)+P108(f906(x47011,x47012))
% 183.74/183.90 [4702]~P109(x47022)+P109(f906(x47021,x47022))
% 183.74/183.90 [4703]~P66(x47032)+P66(f906(x47031,x47032))
% 183.74/183.90 [4704]~P95(x47042)+P95(f906(x47041,x47042))
% 183.74/183.90 [4705]~P88(x47052)+P88(f906(x47051,x47052))
% 183.74/183.90 [4706]~P98(x47062)+P97(f906(x47061,x47062))
% 183.74/183.90 [4707]~P98(x47072)+P98(f906(x47071,x47072))
% 183.74/183.90 [4708]~P100(x47082)+P99(f906(x47081,x47082))
% 183.74/183.90 [4709]~P5(x47092)+P5(f906(x47091,x47092))
% 183.74/183.90 [4710]~P101(x47102)+P101(f906(x47101,x47102))
% 183.74/183.90 [4711]~P98(x47112)+P103(f906(x47111,x47112))
% 183.74/183.90 [4712]~P116(x47122)+P116(f906(x47121,x47122))
% 183.74/183.90 [4713]~P100(x47132)+P102(f906(x47131,x47132))
% 183.74/183.90 [4714]~P100(x47142)+P100(f906(x47141,x47142))
% 183.74/183.90 [4727]E(x47271,x47272)+~E(f317(a102,x47271),f317(a102,x47272))
% 183.74/183.90 [4728]E(x47281,x47282)+~E(f317(a97,x47281),f317(a97,x47282))
% 183.74/183.90 [4729]E(x47291,x47292)+~E(f317(a5,x47291),f317(a5,x47292))
% 183.74/183.90 [4731]E(x47311,x47312)+~E(f317(a22,x47311),f317(a22,x47312))
% 183.74/183.90 [4780]P38(x47801,x47802)+~E(f688(x47802,x47801),f689(x47802,x47801))
% 183.74/183.90 [4810]~P57(x48101,x48102)+P38(x48101,f297(x48101,x48102))
% 183.74/183.90 [4811]~P51(x48111,x48112)+P51(x48111,f297(x48111,x48112))
% 183.74/183.90 [4824]~P3(x48241)+E(f40(x48241,x48242,x48242),f2(x48241))
% 183.74/183.90 [4858]~P36(x48581,x48582)+P36(f900(x48581),f136(x48581,x48582))
% 183.74/183.90 [4859]~P36(x48591,x48592)+P36(f900(x48591),f135(x48591,x48592))
% 183.74/183.90 [4860]~P37(x48601,x48602)+P37(f900(x48601),f137(x48601,x48602))
% 183.74/183.90 [4861]~P37(x48611,x48612)+P37(f900(x48611),f148(x48611,x48612))
% 183.74/183.90 [4862]~P51(x48621,x48622)+P51(f900(x48621),f148(x48621,x48622))
% 183.74/183.90 [4959]~P36(x49591,x49592)+P36(f906(x49591,a895),f310(x49591,x49592))
% 183.74/183.90 [4960]~P36(x49601,x49602)+P36(f906(x49601,a895),f308(x49601,x49602))
% 183.74/183.90 [5091]~P6(x50911)+P39(f293(a1,x50911,x50912))
% 183.74/183.90 [5194]~P36(x51941,x51942)+P59(x51941,f61(x51941,x51941,x51942))
% 183.74/183.90 [5697]~P78(x56971)+P24(x56971,x56971,f73(x56971),x56972)
% 183.74/183.90 [4669]~E(x46692,f103(x46691))+E(f317(f157(x46691),x46692),f103(x46691))
% 183.74/183.90 [4670]~E(x46702,f103(x46701))+E(f317(f158(x46701),x46702),f103(x46701))
% 183.74/183.90 [4733]E(x47331,f317(a95,x47332))+~E(f317(f90(a1),x47331),x47332)
% 183.74/183.90 [4736]E(x47361,f103(x47362))+~E(f317(f157(x47362),x47361),f103(x47362))
% 183.74/183.90 [4737]E(x47371,f103(x47372))+~E(f317(f158(x47372),x47371),f103(x47372))
% 183.74/183.90 [4749]~P93(x47491)+E(f317(f94(x47491),x47492),f317(f93(x47491),x47492))
% 183.74/183.90 [4757]~P2(x47571)+P1(f317(f28(x47571),x47572))
% 183.74/183.90 [4765]~E(f647(x47652,x47651),f103(x47651))+E(f169(x47651,x47652),f103(f900(x47651)))
% 183.74/183.90 [4774]~E(x47742,f103(x47741))+E(f317(f162(x47741),x47742),f178(f906(x47741,a895)))
% 183.74/183.90 [4775]~E(x47752,f103(x47751))+E(f178(f906(x47751,a895)),f317(f162(x47751),x47752))
% 183.74/183.90 [4777]E(x47771,x47772)+~E(f317(f90(a1),x47771),f317(f90(a1),x47772))
% 183.74/183.90 [4781]E(f204(x47811,x47812),f2(a899))+P1(f317(f28(x47811),x47812))
% 183.74/183.90 [4799]~P113(x47991)+E(f76(x47991,f76(x47991,x47992)),f76(x47991,x47992))
% 183.74/183.90 [4813]~P80(x48131)+E(f317(f317(f234(x48131),x48132),f72(a899)),x48132)
% 183.74/183.90 [4814]~P120(x48141)+E(f317(f317(f234(x48141),x48142),f72(a899)),x48142)
% 183.74/183.90 [4815]~P51(x48151,x48152)+E(f317(f276(x48151,x48151),x48152),x48152)
% 183.74/183.90 [4819]E(x48191,x48192)+E(f259(x48191,x48192),f317(f317(f74(a89),x48192),f72(a89)))
% 183.74/183.90 [4822]E(f317(f29(x48221),x48222),f2(a899))+P1(f317(f28(x48221),x48222))
% 183.74/183.90 [4825]~E(f142(x48251,x48252),x48252)+P1(f317(f127(x48251),x48252))
% 183.74/183.90 [4828]~P75(x48281)+E(f317(f317(f3(x48281),x48282),f2(x48281)),x48282)
% 183.74/183.90 [4829]~P74(x48291)+E(f317(f317(f75(x48291),x48292),f72(x48291)),x48292)
% 183.74/183.90 [4830]~P80(x48301)+E(f317(f317(f75(x48301),x48302),f72(x48301)),x48302)
% 183.74/183.90 [4831]~P120(x48311)+E(f317(f317(f75(x48311),x48312),f72(x48311)),x48312)
% 183.74/183.90 [4832]~P70(x48321)+E(f317(f317(f74(x48321),x48322),f2(x48321)),x48322)
% 183.74/183.90 [4833]~P120(x48331)+E(f317(f317(f74(x48331),x48332),f2(x48331)),x48332)
% 183.74/183.90 [4834]~P81(x48341)+E(f317(f317(f74(x48341),x48342),f2(x48341)),x48342)
% 183.74/183.90 [4835]~P124(x48351)+E(f317(f317(f281(x48351),x48352),f72(x48351)),x48352)
% 183.74/183.90 [4836]~P3(x48361)+E(f317(f317(f30(x48361),x48362),f72(x48361)),x48362)
% 183.74/183.90 [4837]~P99(x48371)+E(f317(f317(f91(x48371),x48372),f178(x48371)),x48372)
% 183.74/183.90 [4838]~P102(x48381)+E(f317(f317(f92(x48381),x48382),f232(x48381)),x48382)
% 183.74/183.90 [4839]~P120(x48391)+E(f317(f317(f234(x48391),x48392),f2(a899)),f72(x48391))
% 183.74/183.90 [4840]~P115(x48401)+E(f317(f317(f234(x48401),x48402),f2(a899)),f72(x48401))
% 183.74/183.90 [4841]~E(x48412,f178(f906(x48411,a895)))+E(f317(f29(x48411),x48412),f2(a899))
% 183.74/183.90 [4852]~P3(x48521)+E(f40(x48521,x48522,f2(x48521)),x48522)
% 183.74/183.90 [4863]~P120(x48631)+E(f317(f317(f75(x48631),x48632),f2(x48631)),f2(x48631))
% 183.74/183.90 [4864]~P132(x48641)+E(f317(f317(f75(x48641),x48642),f2(x48641)),f2(x48641))
% 183.74/183.90 [4865]~P125(x48651)+E(f317(f317(f281(x48651),x48652),f2(x48651)),f2(x48651))
% 183.74/183.90 [4866]~P3(x48661)+E(f317(f317(f30(x48661),x48662),f2(x48661)),f2(x48661))
% 183.74/183.90 [4867]~P102(x48671)+E(f317(f317(f91(x48671),x48672),f232(x48671)),f232(x48671))
% 183.74/183.90 [4868]~P99(x48681)+E(f317(f317(f92(x48681),x48682),f178(x48681)),f178(x48681))
% 183.74/183.90 [4870]~P3(x48701)+E(f40(x48701,x48702,f72(x48701)),f2(x48701))
% 183.74/183.90 [4871]~P3(x48711)+E(f40(x48711,f2(x48711),x48712),f2(x48711))
% 183.74/183.90 [4900]E(x49001,f2(a899))+E(f50(x49002,x49001,f103(x49002)),f103(f900(x49002)))
% 183.74/183.90 [4923]P51(x49231,x49232)+~E(f317(f276(x49231,x49231),x49232),x49232)
% 183.74/183.90 [4924]P36(x49241,x49242)+~E(f565(x49242,x49241),f178(f906(x49241,a895)))
% 183.74/183.90 [4925]E(x49251,f103(x49252))+~E(f317(f162(x49252),x49251),f178(f906(x49252,a895)))
% 183.74/183.90 [4926]E(x49261,f103(x49262))+~E(f178(f906(x49262,a895)),f317(f162(x49262),x49261))
% 183.74/183.90 [4929]~E(x49291,x49292)+P1(f317(f317(a314,x49291),x49292))
% 183.74/183.90 [4939]P1(x49391)+P1(f317(f317(a320,x49391),x49392))
% 183.74/183.90 [4940]E(x49401,f103(x49402))+E(f317(f317(f154(x49402),x49401),f2(a899)),f317(f131(x49402),x49401))
% 183.74/183.90 [4943]E(f142(x49431,x49432),x49432)+~P1(f317(f127(x49431),x49432))
% 183.74/183.90 [4950]~P1(x49502)+P1(f317(f317(a320,x49501),x49502))
% 183.74/183.90 [4951]~P1(x49512)+P1(f317(f317(a316,x49511),x49512))
% 183.74/183.90 [4952]~P1(x49521)+P1(f317(f317(a316,x49521),x49522))
% 183.74/183.90 [4962]~E(f648(x49622,x49621),f652(x49622,x49621))+P1(f317(f127(x49621),x49622))
% 183.74/183.90 [4969]E(f317(f252(x49691),x49692),f178(f906(x49691,a895)))+P1(f317(x49692,f493(x49692)))
% 183.74/183.90 [4970]E(f178(f906(x49701,a895)),f317(f252(x49701),x49702))+P1(f317(x49702,f494(x49702)))
% 183.74/183.90 [5043]~P113(x50431)+E(f317(f317(f75(x50431),x50432),f76(x50431,x50432)),f317(f70(x50431),x50432))
% 183.74/183.90 [5055]~E(x50551,f2(a1))+E(f41(x50551,x50552),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 183.74/183.90 [5087]~P57(x50871,x50872)+P57(x50871,f317(f276(x50871,x50871),x50872))
% 183.74/183.90 [5088]~P37(x50881,x50882)+P37(x50881,f317(f276(x50881,x50881),x50882))
% 183.74/183.90 [5089]~P38(x50891,x50892)+P38(x50891,f317(f276(x50891,x50891),x50892))
% 183.74/183.90 [5090]~P51(x50901,x50902)+P51(x50901,f317(f276(x50901,x50901),x50902))
% 183.74/183.90 [5112]E(x51121,x51122)+~P1(f317(f317(a314,x51121),x51122))
% 183.74/183.90 [5123]P1(x51231)+~P1(f317(f317(a315,x51232),x51231))
% 183.74/183.90 [5124]P1(x51241)+~P1(f317(f317(a315,x51241),x51242))
% 183.74/183.90 [5129]~P116(x51291)+P1(f317(f317(f224(x51291),x51292),f232(x51291)))
% 183.74/183.90 [5130]~P120(x51301)+P1(f317(f317(f277(x51301),x51302),f2(x51301)))
% 183.74/183.90 [5134]E(x51341,x51342)+~E(f317(x51341,f332(x51342,x51341)),f317(x51342,f332(x51342,x51341)))
% 183.74/183.90 [5165]E(x51651,f2(a899))+E(f206(x51651,f40(a899,x51652,x51651)),f206(x51652,x51651))
% 183.74/183.90 [5170]~P107(x51701)+P13(x51701,f317(f317(f141(x51701),x51702),f103(x51701)))
% 183.74/183.90 [5172]E(x51721,f2(a1))+P1(f317(f44(x51722,x51721),f41(x51722,x51721)))
% 183.74/183.90 [5189]~P15(x51892,x51891)+P1(f317(f317(x51891,f783(x51891)),f783(x51891)))
% 183.74/183.90 [5192]~E(x51921,x51922)+P1(f317(f317(f225(a899),x51921),f317(a102,x51922)))
% 183.74/183.90 [5202]~E(x52021,f2(a899))+P1(f317(f317(f225(a899),x52021),f317(a102,x52022)))
% 183.74/183.90 [5212]P1(f317(x52121,x52122))+P1(f317(f317(f224(a1),f2(a1)),f324(x52121)))
% 183.74/183.90 [5275]P57(x52751,x52752)+~P57(x52751,f317(f276(x52751,x52751),x52752))
% 183.74/183.90 [5276]P37(x52761,x52762)+~P37(x52761,f317(f276(x52761,x52761),x52762))
% 183.74/183.90 [5277]P38(x52771,x52772)+~P38(x52771,f317(f276(x52771,x52771),x52772))
% 183.74/183.90 [5278]P51(x52781,x52782)+~P51(x52781,f317(f276(x52781,x52781),x52782))
% 183.74/183.90 [5281]~E(f40(a899,x52812,x52811),f2(a899))+E(f317(f317(f75(a899),x52811),f801(x52811,x52812)),x52812)
% 183.74/183.90 [5282]~E(f40(a1,x52822,x52821),f2(a1))+E(f317(f317(f75(a1),x52821),f802(x52821,x52822)),x52822)
% 183.74/183.90 [5309]~P1(f317(x53091,x53092))+P1(f317(f317(f224(a1),f2(a1)),f800(x53091)))
% 183.74/183.90 [5320]E(f317(f317(f3(a899),f317(a95,x53201)),f317(a95,x53202)),f317(a95,x53201))+~P1(f317(a183,x53202))
% 183.74/183.90 [5343]E(f262(x53431,x53432),f72(a89))+~P1(f317(f317(f224(a89),x53431),f72(a89)))
% 183.74/183.90 [5441]E(f317(f317(f154(x54411),x54412),f648(x54412,x54411)),f317(f317(f154(x54411),x54412),f652(x54412,x54411)))+P1(f317(f127(x54411),x54412))
% 183.74/183.90 [5485]~P1(f317(x54851,f84(x54852,x54851)))+P1(f317(x54851,f566(x54852,x54851)))
% 183.74/183.90 [5550]P59(x55501,x55502)+~P1(f317(f305(x55501,x55502),f525(x55502,x55501)))
% 183.74/183.90 [5694]~P15(x56942,x56941)+P1(f317(f317(x56941,f784(x56941,x56942)),f784(x56941,x56942)))
% 183.74/183.90 [5695]~P15(x56952,x56951)+P1(f317(f317(x56951,f787(x56951,x56952)),f787(x56951,x56952)))
% 183.74/183.90 [5704]~E(f317(a102,f40(a899,x57041,x57042)),x57042)+E(f40(a899,f317(a102,x57041),x57042),f2(a899))
% 183.74/183.90 [5759]P36(x57591,x57592)+P1(f317(f317(f319(x57591),f585(x57592,x57591)),f586(x57592,x57591)))
% 183.74/183.90 [5766]~P93(x57661)+P1(f317(f317(f319(x57661),f317(f94(x57661),x57662)),f100(x57661)))
% 183.74/183.90 [5767]~P141(x57671)+P1(f317(f317(f319(x57671),f317(f90(x57671),x57672)),f100(x57671)))
% 183.74/183.90 [5768]~P145(x57681)+P1(f317(f317(f319(x57681),f317(f90(x57681),x57682)),f176(x57681)))
% 183.74/183.90 [5769]~P141(x57691)+P1(f317(f317(f319(x57691),f317(f93(x57691),x57692)),f100(x57691)))
% 183.74/183.90 [5912]~P37(x59121,x59122)+E(f317(f317(f279(x59121,x59121,x59121),x59122),f297(x59121,x59122)),x59122)
% 183.74/183.90 [5926]E(f317(a102,f40(a899,x59261,x59262)),x59262)+E(f40(a899,f317(a102,x59261),x59262),f317(a102,f40(a899,x59261,x59262)))
% 183.74/183.90 [6358]P36(x63581,x63582)+~P1(f317(f317(f319(x63581),f544(x63582,x63581)),f306(x63581,x63582)))
% 183.74/183.90 [6397]~P112(x63971)+~P1(f317(f317(f225(x63971),f317(f90(x63971),x63972)),f2(x63971)))
% 183.74/183.90 [6398]~P85(x63981)+~P1(f317(f317(f225(x63981),f317(f70(x63981),x63982)),f2(x63981)))
% 183.74/183.90 [6488]P1(f317(f317(f225(a1),x64881),f40(a1,x64882,x64881)))+~P1(f317(f317(f225(a1),x64881),f2(a1)))
% 183.74/183.90 [6594]E(f317(f317(f299(a899),f317(a102,x65941)),f293(a899,x65942,x65941)),f293(a899,x65942,f317(a102,x65941)))+~P1(f317(f317(f224(a899),x65942),f317(a102,x65941)))
% 183.74/183.90 [6686]~P107(x66861)+P13(x66861,f140(x66861,x66861,f7(x66861),x66862))
% 183.74/183.90 [6819]E(f317(f157(x68191),x68192),x68192)+~P1(f317(f317(f224(a899),f317(f179(f900(x68191)),x68192)),f72(a899)))
% 183.74/183.90 [6841]~P85(x68411)+P1(f317(f317(f224(x68411),f317(f73(x68411),f317(f70(x68411),x68412))),f2(x68411)))
% 183.74/183.90 [6875]~P36(x68751,x68752)+P36(x68751,f317(f317(f279(x68751,x68751,x68751),x68752),f297(x68751,x68752)))
% 183.74/183.90 [6876]~P51(x68761,x68762)+P51(x68761,f317(f317(f279(x68761,x68761,x68761),x68762),f297(x68761,x68762)))
% 183.74/183.90 [7102]~P1(f317(f317(f225(a1),x71022),f2(a1)))+P1(f317(f317(f224(a1),f40(a1,x71021,x71022)),f2(a1)))
% 183.74/183.90 [7502]~P145(x75021)+E(f180(x75021,f317(f317(f9(x75021,x75021,x75021),f74(x75021)),f72(x75021)),x75022,f2(x75021)),f317(f90(x75021),x75022))
% 183.74/183.90 [7531]~P127(x75311)+~P1(f317(f317(f225(x75311),f317(f317(f75(x75311),x75312),x75312)),f2(x75311)))
% 183.74/183.90 [10175]~P113(x101751)+~P1(f317(f317(f225(x101751),f317(f317(f234(x101751),x101752),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101751)))
% 183.74/183.90 [4734]~E(x47342,f103(x47341))+E(f317(f179(f900(x47341)),x47342),f2(a899))
% 183.74/183.90 [4766]~E(x47661,f2(a899))+E(f317(f317(f74(a899),x47661),x47662),x47662)
% 183.74/183.90 [4767]~E(x47672,f2(a899))+E(f317(f317(f75(a899),x47671),x47672),f2(a899))
% 183.74/183.90 [4769]~E(x47691,f2(a899))+E(f317(f317(f75(a899),x47691),x47692),f2(a899))
% 183.74/183.90 [4770]~E(x47702,f2(a1))+E(f317(f317(f30(a1),x47701),x47702),f2(a1))
% 183.74/183.90 [4771]~E(x47712,f2(a899))+E(f317(f317(f234(a899),x47711),x47712),f72(a899))
% 183.74/183.90 [4782]E(x47821,f103(x47822))+~E(f317(f179(f900(x47822)),x47821),f2(a899))
% 183.74/183.90 [4784]~P96(x47841)+E(f317(f317(f75(x47841),x47842),x47842),x47842)
% 183.74/183.90 [4786]~P107(x47861)+E(f317(f317(f228(x47861),x47862),x47862),x47862)
% 183.74/183.90 [4788]~P97(x47881)+E(f317(f317(f91(x47881),x47882),x47882),x47882)
% 183.74/183.90 [4789]~P98(x47891)+E(f317(f317(f91(x47891),x47892),x47892),x47892)
% 183.74/183.90 [4791]~P107(x47911)+E(f317(f317(f223(x47911),x47912),x47912),x47912)
% 183.74/183.90 [4792]~P98(x47921)+E(f317(f317(f92(x47921),x47922),x47922),x47922)
% 183.74/183.90 [4794]~P103(x47941)+E(f317(f317(f92(x47941),x47942),x47942),x47942)
% 183.74/183.90 [4812]~P75(x48121)+E(f317(f317(f3(x48121),x48122),x48122),f2(x48121))
% 183.74/183.90 [4826]~P75(x48261)+E(f317(f73(x48261),f317(f73(x48261),x48262)),x48262)
% 183.74/183.90 [4827]~P95(x48271)+E(f317(f73(x48271),f317(f73(x48271),x48272)),x48272)
% 183.74/183.90 [4844]~E(x48442,f2(a899))+E(f317(f317(f234(a899),x48441),x48442),f317(a102,f2(a899)))
% 183.74/183.90 [4879]~P74(x48791)+E(f317(f317(f75(x48791),f72(x48791)),x48792),x48792)
% 183.74/183.90 [4880]~P80(x48801)+E(f317(f317(f75(x48801),f72(x48801)),x48802),x48802)
% 183.74/183.90 [4881]~P120(x48811)+E(f317(f317(f75(x48811),f72(x48811)),x48812),x48812)
% 183.74/183.90 [4882]~P70(x48821)+E(f317(f317(f74(x48821),f2(x48821)),x48822),x48822)
% 183.74/183.90 [4883]~P120(x48831)+E(f317(f317(f74(x48831),f2(x48831)),x48832),x48832)
% 183.74/183.90 [4884]~P81(x48841)+E(f317(f317(f74(x48841),f2(x48841)),x48842),x48842)
% 183.74/183.90 [4885]~P99(x48851)+E(f317(f317(f91(x48851),f178(x48851)),x48852),x48852)
% 183.74/183.90 [4886]~P102(x48861)+E(f317(f317(f92(x48861),f232(x48861)),x48862),x48862)
% 183.74/183.90 [4904]~P120(x49041)+E(f317(f317(f75(x49041),f2(x49041)),x49042),f2(x49041))
% 183.74/183.90 [4905]~P132(x49051)+E(f317(f317(f75(x49051),f2(x49051)),x49052),f2(x49051))
% 183.74/183.90 [4906]~P124(x49061)+E(f317(f317(f281(x49061),f2(x49061)),x49062),f2(x49061))
% 183.74/183.90 [4907]~P3(x49071)+E(f317(f317(f30(x49071),f2(x49071)),x49072),f2(x49071))
% 183.74/183.90 [4908]~P80(x49081)+E(f317(f317(f234(x49081),f72(x49081)),x49082),f72(x49081))
% 183.74/183.90 [4909]~P102(x49091)+E(f317(f317(f91(x49091),f232(x49091)),x49092),f232(x49091))
% 183.74/183.90 [4910]~P99(x49101)+E(f317(f317(f92(x49101),f178(x49101)),x49102),f178(x49101))
% 183.74/183.90 [4918]E(x49181,f103(x49182))+E(f134(x49182,f317(f158(x49182),x49181)),f317(f131(x49182),x49181))
% 183.74/183.90 [4919]E(x49191,f103(x49192))+E(f317(f131(x49192),f317(f158(x49192),x49191)),f134(x49192,x49191))
% 183.74/183.90 [4920]E(x49201,f2(a899))+~E(f317(f317(f74(a899),x49202),x49201),x49202)
% 183.74/183.90 [4927]~P93(x49271)+E(f317(f93(x49271),f317(f94(a1),x49272)),f317(f94(x49271),x49272))
% 183.74/183.90 [4928]~P141(x49281)+E(f317(f93(x49281),f317(f90(a1),x49282)),f317(f90(x49281),x49282))
% 183.74/183.90 [4935]E(x49351,f72(a899))+~E(f317(f317(f75(a899),x49352),x49351),f72(a899))
% 183.74/183.90 [4936]E(x49361,f72(a899))+~E(f317(f317(f75(a899),x49361),x49362),f72(a899))
% 183.74/183.90 [4937]E(x49371,f2(a899))+~E(f317(f317(f74(a899),x49372),x49371),f2(a899))
% 183.74/183.90 [4938]E(x49381,f2(a899))+~E(f317(f317(f74(a899),x49381),x49382),f2(a899))
% 183.74/183.90 [4955]~P113(x49551)+E(f317(f70(x49551),f317(f90(x49551),x49552)),f317(f90(x49551),x49552))
% 183.74/183.90 [4956]~P85(x49561)+E(f317(f70(x49561),f317(f70(x49561),x49562)),f317(f70(x49561),x49562))
% 183.74/183.90 [4957]~P85(x49571)+E(f317(f70(x49571),f317(f73(x49571),x49572)),f317(f70(x49571),x49572))
% 183.74/183.90 [4958]~P70(x49581)+E(f317(f155(x49581),f317(f158(x49581),x49582)),f317(f155(x49581),x49582))
% 183.74/183.90 [4963]~E(x49631,f317(a102,f2(a899)))+E(f317(f317(f234(a899),x49631),x49632),f317(a102,f2(a899)))
% 183.74/183.90 [4972]~P75(x49721)+E(f317(f317(f3(x49721),f2(x49721)),x49722),f317(f73(x49721),x49722))
% 183.74/183.90 [4973]~E(x49732,f2(a899))+E(f129(a899,f317(f292(a899,x49731),x49732)),f103(a899))
% 183.74/183.90 [4982]~P93(x49821)+E(f317(f317(f74(x49821),x49822),f317(f94(x49821),a77)),x49822)
% 183.74/183.90 [4983]E(x49831,f2(a1))+E(f42(f317(f70(a1),x49832),f317(f70(a1),x49831)),f48(x49832,x49831))
% 183.74/183.90 [4999]~E(x49991,x49992)+P1(f317(f317(f224(a899),x49991),x49992))
% 183.74/183.90 [5003]~E(x50031,x50032)+P1(f317(f317(f277(a899),x50031),x50032))
% 183.74/183.90 [5010]~E(x50101,f2(a89))+E(f317(f317(f74(a899),f317(a22,x50101)),x50102),x50102)
% 183.74/183.90 [5024]~P6(x50241)+P6(f317(f317(f234(a1),x50241),x50242))
% 183.74/183.90 [5025]~P75(x50251)+E(f317(f317(f74(x50251),x50252),f317(f73(x50251),x50252)),f2(x50251))
% 183.74/183.90 [5026]~P95(x50261)+E(f317(f317(f91(x50261),x50262),f317(f73(x50261),x50262)),f232(x50261))
% 183.74/183.90 [5027]~P95(x50271)+E(f317(f317(f92(x50271),x50272),f317(f73(x50271),x50272)),f178(x50271))
% 183.74/183.90 [5052]E(x50521,f2(a899))+~E(f317(f73(a1),f317(f90(a1),x50522)),f317(f90(a1),x50521))
% 183.74/183.90 [5053]E(x50531,f2(a899))+~E(f317(f73(a1),f317(f90(a1),x50531)),f317(f90(a1),x50532))
% 183.74/183.90 [5063]E(f184(x50631,x50632),f2(a1))+P1(f317(f317(f224(a1),x50632),x50631))
% 183.74/183.90 [5064]E(f168(x50641,x50642),f103(a1))+P1(f317(f317(f224(a1),x50641),x50642))
% 183.74/183.90 [5065]E(f231(x50651,x50652),f2(a89))+P1(f317(f317(f225(a89),x50651),x50652))
% 183.74/183.90 [5078]E(x50781,f317(a102,f2(a899)))+~E(f317(f317(f75(a899),x50782),x50781),f317(a102,f2(a899)))
% 183.74/183.90 [5079]E(x50791,f317(a102,f2(a899)))+~E(f317(f317(f75(a899),x50791),x50792),f317(a102,f2(a899)))
% 183.74/183.90 [5080]~P106(x50801)+P1(f317(f317(f224(x50801),x50802),x50802))
% 183.74/183.90 [5081]~P120(x50811)+P1(f317(f317(f277(x50811),x50812),x50812))
% 183.74/183.90 [5084]~P93(x50841)+E(f317(f317(f75(x50841),x50842),f317(f94(x50841),a87)),f317(f73(x50841),x50842))
% 183.74/183.90 [5104]~P93(x51041)+E(f317(f73(x51041),f317(f94(x51041),x51042)),f317(f94(x51041),f317(f73(a1),x51042)))
% 183.74/183.90 [5105]~P141(x51051)+E(f317(f73(x51051),f317(f93(x51051),x51052)),f317(f93(x51051),f317(f73(a1),x51052)))
% 183.74/183.90 [5135]~E(x51351,f317(a102,x51352))+P1(f317(f317(f225(a899),f2(a899)),x51351))
% 183.74/183.90 [5153]~P107(x51531)+E(f317(f73(f906(x51531,a895)),f317(f291(x51531),x51532)),f317(f294(x51531),x51532))
% 183.74/183.90 [5154]~P107(x51541)+E(f317(f73(f906(x51541,a895)),f317(f272(x51541),x51542)),f317(f273(x51541),x51542))
% 183.74/183.90 [5155]~P107(x51551)+E(f317(f73(f906(x51551,a895)),f317(f273(x51551),x51552)),f317(f272(x51551),x51552))
% 183.74/183.90 [5156]~P107(x51561)+E(f317(f73(f906(x51561,a895)),f317(f294(x51561),x51562)),f317(f291(x51561),x51562))
% 183.74/183.90 [5164]~E(f317(f90(a1),x51642),x51641)+P1(f317(f317(f224(a1),f2(a1)),x51641))
% 183.74/183.90 [5171]~E(x51712,f2(a1))+E(f48(x51711,x51712),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51711)))
% 183.74/183.90 [5173]~P65(x51731)+P1(f317(f317(f224(x51731),f178(x51731)),x51732))
% 183.74/183.90 [5174]~P120(x51741)+P1(f317(f317(f277(x51741),f72(x51741)),x51742))
% 183.74/183.90 [5207]E(x52071,x52072)+~E(f317(f317(f74(a1),x52071),x52071),f317(f317(f74(a1),x52072),x52072))
% 183.74/183.90 [5211]~P1(f317(x52111,x52112))+P1(f317(x52111,f317(a95,f800(x52111))))
% 183.74/183.90 [5237]~P113(x52371)+E(f317(f317(f75(x52371),f76(x52371,x52372)),f317(f70(x52371),x52372)),x52372)
% 183.74/183.90 [5244]~E(x52442,f2(a899))+E(f79(f905(a899,a899),f43(x52441,x52442)),f317(f317(f242(a899,a899),f2(a899)),x52441))
% 183.74/183.90 [5249]~E(x52491,x52492)+~P1(f317(f317(f225(a899),x52491),x52492))
% 183.74/183.90 [5250]~E(x52501,x52502)+~P1(f317(f317(f225(a1),x52501),x52502))
% 183.74/183.90 [5253]~P145(x52531)+E(f317(f317(f74(x52531),f72(x52531)),f317(f90(x52531),x52532)),f317(f90(x52531),f317(a102,x52532)))
% 183.74/183.90 [5257]~E(x52571,f2(a899))+~P1(f317(f317(f225(a899),x52572),x52571))
% 183.74/183.90 [5271]E(f142(x52711,x52712),x52712)+~E(f317(f179(f900(x52711)),f142(x52711,x52712)),f317(f179(f900(x52711)),x52712))
% 183.74/183.90 [5272]E(f317(f29(x52721),f317(f162(x52721),x52722)),f317(f179(f900(x52721)),x52722))+~P1(f317(f127(x52721),x52722))
% 184.03/183.90 [5286]~P1(f317(x52861,f803(x52861)))+P1(f317(x52861,f317(f90(a1),x52862)))
% 184.03/183.90 [5297]E(f231(x52971,x52972),x52972)+~P1(f317(f317(f225(a89),x52971),x52972))
% 184.03/183.90 [5299]E(f262(x52991,x52992),f72(a89))+~P1(f317(f317(f225(a89),x52992),x52991))
% 184.03/183.90 [5300]E(f168(x53001,x53002),f103(a1))+~P1(f317(f317(f225(a1),x53002),x53001))
% 184.03/183.90 [5301]E(f118(x53011,x53012),f105(a1))+~P1(f317(f317(f225(a1),x53011),x53012))
% 184.03/183.90 [5303]~P109(x53031)+E(f293(x53031,x53032,x53032),f317(f317(f299(x53031),x53032),f178(f906(x53031,a895))))
% 184.03/183.90 [5323]~E(f317(f317(f3(a899),x53231),x53232),f2(a899))+P1(f317(f317(f224(a899),x53231),x53232))
% 184.03/183.90 [5340]~E(x53402,f2(a899))+E(f50(x53401,x53402,f103(x53401)),f317(f317(f141(f900(x53401)),f103(x53401)),f103(f900(x53401))))
% 184.03/183.90 [5344]~P106(x53441)+~P1(f317(f317(f225(x53441),x53442),x53442))
% 184.03/183.90 [5346]~E(f40(a1,x53461,x53462),f2(a1))+E(f40(a1,x53461,f317(f73(a1),x53462)),f2(a1))
% 184.03/183.90 [5348]~E(f40(a1,x53481,x53482),f2(a1))+E(f40(a1,f317(f73(a1),x53481),x53482),f2(a1))
% 184.03/183.90 [5356]E(f317(f292(a899,x53561),f317(a102,x53562)),f178(f906(a899,a895)))+P1(f317(f317(f224(a899),x53561),x53562))
% 184.03/183.90 [5380]E(f129(a899,f317(f292(a899,x53801),x53802)),f103(a899))+P1(f317(f317(f225(a899),x53801),x53802))
% 184.03/183.90 [5386]~E(f317(f29(x53861),f317(f162(x53861),x53862)),f317(f179(f900(x53861)),x53862))+P1(f317(f127(x53861),x53862))
% 184.03/183.90 [5390]~P1(f317(f127(x53901),x53902))+P1(f317(f127(x53901),f317(f157(x53901),x53902)))
% 184.03/183.90 [5391]~P1(f317(f127(x53911),x53912))+P1(f317(f127(x53911),f317(f161(x53911),x53912)))
% 184.03/183.90 [5392]~P1(f317(f127(x53921),x53922))+P1(f317(f127(x53921),f317(f158(x53921),x53922)))
% 184.03/183.90 [5400]P1(f317(x54001,x54002))+~P1(f317(x54001,f317(a95,f324(x54001))))
% 184.03/183.90 [5401]P1(f317(f317(f224(a899),x54012),x54011))+P1(f317(f317(f224(a899),x54011),x54012))
% 184.03/183.90 [5402]P1(f317(f317(f224(a1),x54022),x54021))+P1(f317(f317(f224(a1),x54021),x54022))
% 184.03/183.90 [5406]~P85(x54061)+P1(f317(f317(f224(x54061),x54062),f317(f70(x54061),x54062)))
% 184.03/183.90 [5409]P1(f317(x54091,f873(x54091)))+~P1(f317(x54091,f317(f90(a1),x54092)))
% 184.03/183.90 [5433]E(f317(f317(f3(a899),x54331),x54332),f2(a899))+~P1(f317(f317(f224(a899),x54331),x54332))
% 184.03/183.90 [5434]E(f317(f317(f30(a899),x54341),x54342),f2(a899))+~P1(f317(f317(f225(a899),x54341),x54342))
% 184.03/183.90 [5453]E(f40(a899,x54531,x54532),x54531)+~P1(f317(f317(f225(a899),x54531),x54532))
% 184.03/183.90 [5461]E(f40(a1,x54611,f317(f73(a1),x54612)),f282(x54611,x54612))+P1(f317(f317(f224(a1),f2(a1)),x54612))
% 184.03/183.90 [5474]E(f317(f317(f3(a1),x54741),x54742),f184(x54741,x54742))+~P1(f317(f317(f224(a1),x54742),x54741))
% 184.03/183.90 [5494]P1(f317(f317(f224(a1),f2(a1)),f803(x54941)))+P1(f317(x54941,f317(f90(a1),x54942)))
% 184.03/183.90 [5507]~P112(x55071)+P1(f317(f317(f224(x55071),f2(x55071)),f317(f90(x55071),x55072)))
% 184.03/183.90 [5508]~P85(x55081)+P1(f317(f317(f224(x55081),f2(x55081)),f317(f70(x55081),x55082)))
% 184.03/183.90 [5536]E(f317(f317(f74(a899),x55361),f567(x55362,x55361)),x55362)+~P1(f317(f317(f224(a899),x55361),x55362))
% 184.03/183.90 [5551]E(f293(a1,x55511,x55512),f178(f906(a1,a895)))+~P1(f317(f317(f225(a1),x55512),x55511))
% 184.03/183.90 [5553]~P113(x55531)+E(f317(f317(f75(x55531),f317(f70(x55531),x55532)),f317(f70(x55531),x55532)),f317(f317(f75(x55531),x55532),x55532))
% 184.03/183.90 [5559]E(f129(a899,f317(f292(a899,x55591),f317(a102,x55592))),f103(a899))+P1(f317(f317(f224(a899),x55591),x55592))
% 184.03/183.90 [5562]E(f317(f317(f30(a1),x55621),x55622),f283(x55621,x55622))+~P1(f317(f317(f224(a1),f2(a1)),x55622))
% 184.03/183.90 [5582]P1(f317(f127(x55821),x55822))+~P1(f317(f127(x55821),f317(f157(x55821),x55822)))
% 184.03/183.90 [5583]P1(f317(f127(x55831),x55832))+~P1(f317(f127(x55831),f317(f158(x55831),x55832)))
% 184.03/183.90 [5610]P1(f317(f28(a899),x56101))+P1(f317(f317(f319(a899),f886(x56101,x56102)),x56101))
% 184.03/183.90 [5611]P1(f317(f28(a899),x56111))+P1(f317(f317(f319(a899),f888(x56111,x56112)),x56111))
% 184.03/183.90 [5614]P1(f317(f317(f225(a899),x56142),f317(a102,x56141)))+P1(f317(f317(f225(a899),x56141),x56142))
% 184.03/183.90 [5615]E(f40(a1,x56151,x56152),f282(x56151,x56152))+~P1(f317(f317(f224(a1),f2(a1)),x56152))
% 184.03/183.90 [5618]E(f129(a899,f317(f292(a899,x56181),x56182)),f103(a899))+~P1(f317(f317(f224(a899),x56182),x56181))
% 184.03/183.90 [5619]~P78(x56191)+E(f317(f300(x56191,x56191,f73(x56191)),f317(f291(x56191),x56192)),f317(f273(x56191),f317(f73(x56191),x56192)))
% 184.03/183.90 [5620]~P78(x56201)+E(f317(f300(x56201,x56201,f73(x56201)),f317(f272(x56201),x56202)),f317(f294(x56201),f317(f73(x56201),x56202)))
% 184.03/183.90 [5621]~P78(x56211)+E(f317(f300(x56211,x56211,f73(x56211)),f317(f273(x56211),x56212)),f317(f291(x56211),f317(f73(x56211),x56212)))
% 184.03/183.90 [5622]~P78(x56221)+E(f317(f300(x56221,x56221,f73(x56221)),f317(f294(x56221),x56222)),f317(f272(x56221),f317(f73(x56221),x56222)))
% 184.03/183.90 [5633]E(x56331,f178(f906(x56332,a895)))+P1(f317(f317(f319(x56332),f763(x56331,x56332)),x56331))
% 184.03/183.90 [5634]E(x56341,f178(f906(x56342,a895)))+P1(f317(f317(f319(x56342),f653(x56341,x56342)),x56341))
% 184.03/183.90 [5645]~P1(f317(f317(f225(a899),x56451),x56452))+P1(f317(f317(f224(a899),x56451),x56452))
% 184.03/183.90 [5646]~P1(f317(f317(f225(a1),x56461),x56462))+P1(f317(f317(f224(a1),x56461),x56462))
% 184.03/183.90 [5662]E(f42(x56621,x56622),f317(f317(f242(a1,a1),f2(a1)),x56621))+~P1(f317(f317(f225(a1),x56621),x56622))
% 184.03/183.90 [5664]E(f205(f317(f73(a1),x56641),f317(f73(a1),x56642)),f205(x56641,x56642))+~P1(f317(f317(f225(a1),x56642),f2(a1)))
% 184.03/183.90 [5676]E(x56761,x56762)+~E(f317(a5,f317(a102,f317(a22,x56761))),f317(a5,f317(a102,f317(a22,x56762))))
% 184.03/183.90 [5681]E(f42(x56811,x56812),f317(f317(f242(a1,a1),f2(a1)),x56811))+~P1(f317(f317(f224(a1),x56812),f2(a1)))
% 184.03/183.90 [5710]E(f40(a899,f317(f94(a899),x57101),f317(f94(a899),x57102)),f2(a899))+~P1(f317(a183,f317(f94(a1),x57101)))
% 184.03/183.90 [5724]P1(f317(f317(f224(a1),f2(a1)),f873(x57241)))+~P1(f317(x57241,f317(f90(a1),x57242)))
% 184.03/183.90 [5757]P39(f293(a1,x57571,x57572))+~P1(f317(f317(f224(a1),f2(a1)),x57571))
% 184.03/183.90 [5762]~P1(f317(f28(x57621),x57622))+P1(f317(f28(f906(x57621,a895)),f317(f298(x57621),x57622)))
% 184.03/183.90 [5775]E(f317(f317(f74(a1),x57751),f317(f90(a1),f877(x57752,x57751))),x57752)+~P1(f317(f317(f224(a1),x57751),x57752))
% 184.03/183.90 [5783]P1(f317(f317(f224(a899),x57831),x57832))+P1(f317(f317(f224(a899),f317(a102,x57832)),x57831))
% 184.03/183.90 [5827]E(f317(f317(f30(a899),f317(f94(a899),x58271)),f317(f94(a899),x58272)),f2(a899))+~P1(f317(a183,f317(f94(a1),x58271)))
% 184.03/183.90 [5828]E(f317(f317(f75(a899),f317(f94(a899),x58281)),f317(f94(a899),x58282)),f2(a899))+~P1(f317(f317(f225(a1),x58281),a77))
% 184.03/183.90 [5830]P1(f317(f317(f224(a899),x58301),f317(a102,x58302)))+~P1(f317(f317(f224(a899),x58301),x58302))
% 184.03/183.90 [5832]P1(f317(f317(f225(a899),x58321),f317(a102,x58322)))+~P1(f317(f317(f224(a899),x58321),x58322))
% 184.03/183.90 [5834]P1(f317(f317(f225(a899),x58341),f317(a102,x58342)))+~P1(f317(f317(f225(a899),x58341),x58342))
% 184.03/183.90 [5837]~E(x58371,x58372)+P1(f317(f317(f225(a1),x58371),f317(f317(f74(a1),x58372),f72(a1))))
% 184.03/183.90 [5840]E(f40(a1,x58401,x58402),f2(a1))+E(f317(f317(f3(a1),x58402),f40(a1,x58401,x58402)),f40(a1,f317(f73(a1),x58401),x58402))
% 184.03/183.90 [5849]E(x58491,f103(x58492))+P1(f317(f317(f319(x58492),f134(x58492,x58491)),f317(f162(x58492),x58491)))
% 184.03/183.90 [5861]E(f79(f905(a899,a899),f43(x58611,x58612)),f317(f317(f242(a899,a899),f2(a899)),x58611))+~P1(f317(f317(f225(a899),x58611),x58612))
% 184.03/183.90 [5905]E(f317(f317(f3(a899),f317(f94(a899),x59051)),f317(f94(a899),x59052)),f317(f94(a899),x59051))+~P1(f317(f317(f225(a1),x59052),a77))
% 184.03/183.90 [5906]E(f317(f317(f74(a899),f317(f94(a899),x59061)),f317(f94(a899),x59062)),f317(f94(a899),x59062))+~P1(f317(f317(f225(a1),x59061),a77))
% 184.03/183.90 [5913]E(f317(a102,f317(f317(f74(a899),x59131),f687(x59132,x59131))),x59132)+~P1(f317(f317(f225(a899),x59131),x59132))
% 184.03/183.90 [5937]P1(f317(x59371,x59372))+~P1(f317(x59371,f317(a83,f568(x59372,x59371))))
% 184.03/183.90 [5938]P1(f317(x59381,x59382))+~P1(f317(x59381,f317(a5,f799(x59382,x59381))))
% 184.03/183.90 [5947]~P1(f317(f317(f225(a899),x59471),f317(a102,x59472)))+P1(f317(f317(f224(a899),x59471),x59472))
% 184.03/183.90 [5997]E(f317(f317(f299(a899),x59971),f317(f292(a899,x59972),x59971)),f317(f292(a899,x59972),f317(a102,x59971)))+~P1(f317(f317(f224(a899),x59972),x59971))
% 184.03/183.90 [6000]E(x60001,f103(x60002))+E(f317(f317(f124(x60002),f104(x60002,x60001)),f317(f317(f141(x60002),f134(x60002,x60001)),f103(x60002))),x60001)
% 184.03/183.90 [6017]P1(f317(f28(x60171),x60172))+~P1(f317(f317(f225(a899),f2(a899)),f317(f29(x60171),x60172)))
% 184.03/183.90 [6021]~E(x60211,f178(f906(x60212,a895)))+~P1(f317(f317(f225(a899),f2(a899)),f317(f29(x60212),x60211)))
% 184.03/183.90 [6033]~P1(f317(f317(f225(a899),x60331),x60332))+P1(f317(f317(f224(a899),f317(a102,x60331)),x60332))
% 184.03/183.90 [6037]~P107(x60371)+E(f140(x60371,x60371,f7(x60371),f142(x60371,x60372)),f129(x60371,f317(f162(x60371),x60372)))
% 184.03/183.90 [6040]E(x60401,f103(x60402))+P1(f317(f317(f319(x60402),f317(f131(x60402),x60401)),f317(f162(x60402),x60401)))
% 184.03/183.90 [6046]~P112(x60461)+P1(f317(f317(f225(x60461),x60462),f317(f317(f74(x60461),x60462),f72(x60461))))
% 184.03/183.90 [6048]~P85(x60481)+P1(f317(f317(f224(x60481),f317(f73(x60481),x60482)),f317(f70(x60481),x60482)))
% 184.03/183.90 [6062]~E(x60621,x60622)+E(f280(a899,f277(a899),x60621,x60622),f317(f317(f299(a899),x60621),f178(f906(a899,a895))))
% 184.03/183.90 [6080]P1(f317(f28(a899),x60801))+~P1(f317(f317(f224(a899),f886(x60801,x60802)),x60802))
% 184.03/183.90 [6081]P1(f317(f28(a899),x60811))+~P1(f317(f317(f225(a899),f888(x60811,x60812)),x60812))
% 184.03/183.90 [6084]~P1(f317(f28(f905(x60841,x60841)),x60842))+P1(f317(f28(x60841),f317(f271(x60841),x60842)))
% 184.03/183.90 [6140]E(f280(a899,f277(a899),x61401,x61402),f178(f906(a899,a895)))+P1(f317(f317(f277(a899),x61401),x61402))
% 184.03/183.90 [6143]~P1(f317(f317(f225(a899),x61432),f317(a102,x61431)))+~P1(f317(f317(f225(a899),x61431),x61432))
% 184.03/183.90 [6144]~P109(x61441)+E(f317(f317(f92(f906(x61441,a895)),f317(f291(x61441),x61442)),f317(f273(x61441),x61442)),f317(f317(f299(x61441),x61442),f178(f906(x61441,a895))))
% 184.03/183.90 [6156]P1(f317(f28(x61561),x61562))+~P1(f317(f28(f906(x61561,a895)),f317(f298(x61561),x61562)))
% 184.03/183.90 [6178]P1(f317(f317(f224(a899),f317(a102,x61781)),f317(a102,x61782)))+~P1(f317(f317(f224(a899),x61781),x61782))
% 184.03/183.90 [6179]P1(f317(f317(f224(a899),f317(a22,x61791)),f317(a22,x61792)))+~P1(f317(f317(f224(a89),x61791),x61792))
% 184.03/183.90 [6180]P1(f317(f317(f224(a89),f317(a5,x61801)),f317(a5,x61802)))+~P1(f317(f317(f224(a899),x61801),x61802))
% 184.03/183.90 [6182]P1(f317(f317(f225(a899),f317(a102,x61821)),f317(a102,x61822)))+~P1(f317(f317(f225(a899),x61821),x61822))
% 184.03/183.90 [6183]P1(f317(f317(f225(a899),f317(a22,x61831)),f317(a22,x61832)))+~P1(f317(f317(f225(a89),x61831),x61832))
% 184.03/183.90 [6184]P1(f317(f317(f225(a89),f317(a5,x61841)),f317(a5,x61842)))+~P1(f317(f317(f225(a899),x61841),x61842))
% 184.03/183.90 [6189]E(x61891,x61892)+~E(f317(f300(a899,a1,f90(a1)),x61891),f317(f300(a899,a1,f90(a1)),x61892))
% 184.03/183.90 [6205]P1(f317(f317(f224(a899),x62051),x62052))+~P1(f317(f317(f224(a899),f317(a102,x62051)),x62052))
% 184.03/183.90 [6208]P1(f317(f317(f225(a899),x62081),x62082))+~P1(f317(f317(f224(a899),f317(a102,x62081)),x62082))
% 184.03/183.90 [6209]P1(f317(f317(f225(a899),x62091),x62092))+~P1(f317(f317(f225(a899),f317(a102,x62091)),x62092))
% 184.03/183.90 [6229]E(f40(a1,x62291,x62292),f2(a1))+E(f317(f317(f3(a1),f40(a1,x62291,x62292)),x62292),f40(a1,x62291,f317(f73(a1),x62292)))
% 184.03/183.90 [6297]E(f317(f29(f906(x62971,a895)),f317(f298(x62971),x62972)),f317(f317(f234(a899),f317(a102,f317(a102,f2(a899)))),f317(f29(x62971),x62972)))+~P1(f317(f28(x62971),x62972))
% 184.03/183.90 [6300]E(x63001,f103(x63002))+E(f317(f317(f154(x63002),x63001),f317(f317(f3(a899),f317(f179(f900(x63002)),x63001)),f72(a899))),f134(x63002,x63001))
% 184.03/183.90 [6322]E(x63221,f103(x63222))+E(f317(f317(f124(x63222),f317(f161(x63222),x63221)),f317(f317(f141(x63222),f317(f131(x63222),x63221)),f103(x63222))),f317(f157(x63222),x63221))
% 184.03/183.90 [6355]~P1(f317(f28(x63551),f31(f906(x63551,a895),x63552)))+P1(f317(f28(f906(x63551,a895)),x63552))
% 184.03/183.90 [6377]P1(f317(f317(f224(a899),f317(f94(a899),x63771)),f317(f94(a899),x63772)))+~P1(f317(f317(f224(a1),x63771),a77))
% 184.03/183.90 [6401]~P1(f317(f317(f225(a1),x64011),x64012))+P1(f317(f317(f224(a1),x64011),f317(f317(f3(a1),x64012),f72(a1))))
% 184.03/183.90 [6402]~P1(f317(f317(f224(a1),x64021),x64022))+P1(f317(f317(f225(a1),x64021),f317(f317(f74(a1),x64022),f72(a1))))
% 184.03/183.90 [6403]~P1(f317(f317(f225(a1),x64031),x64032))+P1(f317(f317(f225(a1),x64031),f317(f317(f74(a1),x64032),f72(a1))))
% 184.03/183.90 [6405]~P1(f317(f317(f224(a1),x64051),x64052))+P1(f317(f317(f224(a899),f317(f94(a899),x64051)),f317(f94(a899),x64052)))
% 184.03/183.90 [6406]~P1(f317(f317(f224(a1),x64061),x64062))+P1(f317(f317(f224(a1),f317(f94(a1),x64061)),f317(f94(a1),x64062)))
% 184.03/183.90 [6408]~P1(f317(f317(f224(a899),x64081),x64082))+P1(f317(f317(f224(a1),f317(f90(a1),x64081)),f317(f90(a1),x64082)))
% 184.03/183.90 [6409]~P1(f317(f317(f225(a1),x64091),x64092))+P1(f317(f317(f225(a1),f317(f94(a1),x64091)),f317(f94(a1),x64092)))
% 184.03/183.90 [6411]~P1(f317(f317(f225(a899),x64111),x64112))+P1(f317(f317(f225(a1),f317(f90(a1),x64111)),f317(f90(a1),x64112)))
% 184.03/183.90 [6431]~P1(f317(f317(f224(a899),x64311),x64312))+~P1(f317(f317(f224(a899),f317(a102,x64312)),x64311))
% 184.03/183.90 [6474]~P1(f317(f317(f224(a899),f317(a102,x64741)),f317(a102,x64742)))+P1(f317(f317(f224(a899),x64741),x64742))
% 184.03/183.90 [6475]~P1(f317(f317(f224(a89),f317(a5,x64751)),f317(a5,x64752)))+P1(f317(f317(f224(a899),x64751),x64752))
% 184.03/183.90 [6476]~P1(f317(f317(f224(a899),f317(a22,x64761)),f317(a22,x64762)))+P1(f317(f317(f224(a89),x64761),x64762))
% 184.03/183.90 [6478]~P1(f317(f317(f225(a899),f317(a102,x64781)),f317(a102,x64782)))+P1(f317(f317(f225(a899),x64781),x64782))
% 184.03/183.90 [6479]~P1(f317(f317(f225(a89),f317(a5,x64791)),f317(a5,x64792)))+P1(f317(f317(f225(a899),x64791),x64792))
% 184.03/183.90 [6480]~P1(f317(f317(f225(a899),f317(a95,x64801)),f317(a95,x64802)))+P1(f317(f317(f225(a1),x64801),x64802))
% 184.03/183.90 [6481]~P1(f317(f317(f225(a899),f317(a22,x64811)),f317(a22,x64812)))+P1(f317(f317(f225(a89),x64811),x64812))
% 184.03/183.90 [6523]~P1(f317(f317(f225(a899),f317(a95,x65232)),f317(a95,x65231)))+P1(f317(f317(f225(a1),f2(a1)),x65231))
% 184.03/183.90 [6554]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x65541,x65542)))+~P1(f317(f317(f225(a1),f2(a1)),x65542))
% 184.03/183.90 [6720]P36(x67201,x67202)+~E(f317(f317(f279(x67201,x67201,x67201),x67202),x67202),f178(f906(f905(x67201,x67201),a895)))
% 184.03/183.90 [6736]~P36(x67361,x67362)+P36(x67361,f317(f317(f279(x67361,x67361,x67361),x67362),x67362))
% 184.03/183.90 [6747]P1(f317(f317(f224(a1),x67471),x67472))+~P1(f317(f317(f225(a1),x67471),f317(f317(f74(a1),x67472),f72(a1))))
% 184.03/183.90 [6748]P1(f317(f317(f225(a1),x67481),x67482))+~P1(f317(f317(f224(a1),x67481),f317(f317(f3(a1),x67482),f72(a1))))
% 184.03/183.90 [6751]P1(f317(f317(f224(a899),x67511),x67512))+~P1(f317(f317(f224(a1),f317(f90(a1),x67511)),f317(f90(a1),x67512)))
% 184.03/183.90 [6752]P1(f317(f317(f224(a1),x67521),x67522))+~P1(f317(f317(f224(a1),f317(f94(a1),x67521)),f317(f94(a1),x67522)))
% 184.03/183.90 [6754]P1(f317(f317(f225(a899),x67541),x67542))+~P1(f317(f317(f225(a1),f317(f90(a1),x67541)),f317(f90(a1),x67542)))
% 184.03/183.90 [6755]P1(f317(f317(f225(a1),x67551),x67552))+~P1(f317(f317(f225(a899),f317(f94(a899),x67551)),f317(f94(a899),x67552)))
% 184.03/183.90 [6756]P1(f317(f317(f225(a1),x67561),x67562))+~P1(f317(f317(f225(a1),f317(f94(a1),x67561)),f317(f94(a1),x67562)))
% 184.03/183.90 [6830]~E(f280(a899,f277(a899),x68301,x68302),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x68301),x68302))
% 184.03/183.90 [6857]~E(f678(x68572,x68571),f103(x68571))+E(f317(f132(f900(x68571),f900(x68571),f124(x68571),f103(x68571)),x68572),f103(x68571))
% 184.03/183.90 [6858]~E(f684(x68582,x68581),f103(x68581))+E(f317(f132(f900(x68581),f900(x68581),f124(x68581),f103(x68581)),x68582),f103(x68581))
% 184.03/183.90 [6862]~P5(x68621)+E(f317(f132(x68621,x68621,f91(x68621),f178(x68621)),x68622),f31(x68621,f317(f162(x68621),x68622)))
% 184.03/183.90 [6863]~P5(x68631)+E(f317(f132(x68631,x68631,f92(x68631),f232(x68631)),x68632),f32(x68631,f317(f162(x68631),x68632)))
% 184.03/183.90 [6877]E(x68771,f2(a89))+E(f317(f317(f74(a899),f317(a22,f317(f317(f3(a89),x68771),f72(a89)))),f317(a102,x68772)),f317(f317(f74(a899),f317(a22,x68771)),x68772))
% 184.03/183.90 [6926]P1(f317(f317(f225(a1),f317(f317(f3(a1),x69261),x69262)),f2(a1)))+~P1(f317(f317(f225(a1),x69261),x69262))
% 184.03/183.90 [6951]~P107(x69511)+E(f317(f317(f91(f906(x69511,a895)),f317(f317(f299(x69511),x69512),f178(f906(x69511,a895)))),f317(f294(x69511),x69512)),f317(f273(x69511),x69512))
% 184.03/183.90 [7030]~P59(x70301,x70302)+P36(x70301,f317(f252(f905(x70301,x70301)),f317(f247(x70301,x70301,a895),x70302)))
% 184.03/183.90 [7031]~P59(x70311,x70312)+P57(x70311,f317(f252(f905(x70311,x70311)),f317(f247(x70311,x70311,a895),x70312)))
% 184.03/183.90 [7032]~P49(x70321,x70322)+P37(x70321,f317(f252(f905(x70321,x70321)),f317(f247(x70321,x70321,a895),x70322)))
% 184.03/183.90 [7033]~P50(x70331,x70332)+P51(x70331,f317(f252(f905(x70331,x70331)),f317(f247(x70331,x70331,a895),x70332)))
% 184.03/183.90 [7034]E(x70341,f178(f906(x70342,a895)))+~P1(f317(f317(f224(f906(x70342,a895)),x70341),f178(f906(x70342,a895))))
% 184.03/183.90 [7118]~P1(f317(f317(f225(a899),f2(a899)),x71182))+P1(f317(f317(f224(a899),f40(a899,x71181,x71182)),x71182))
% 184.03/183.90 [7119]~P1(f317(f317(f224(a1),f2(a1)),x71191))+P1(f317(f317(f224(a1),f40(a1,x71191,x71192)),x71191))
% 184.03/183.90 [7120]~P1(f317(f317(f225(a899),f2(a899)),x71202))+P1(f317(f317(f225(a899),f40(a899,x71201,x71202)),x71202))
% 184.03/183.90 [7122]~P1(f317(f317(f225(a1),f2(a1)),x71222))+P1(f317(f317(f225(a1),f40(a1,x71221,x71222)),x71222))
% 184.03/183.90 [7198]~P109(x71981)+E(f317(f317(f3(f906(x71981,a895)),f317(f317(f299(x71981),x71982),f178(f906(x71981,a895)))),f317(f272(x71981),x71982)),f317(f317(f299(x71981),x71982),f178(f906(x71981,a895))))
% 184.03/183.90 [7273]~P42(x72731,x72732)+P52(x72731,f232(f906(x72731,a895)),f317(f252(f905(x72731,x72731)),f317(f247(x72731,x72731,a895),x72732)))
% 184.03/183.90 [7274]P1(f317(x72741,x72742))+P1(f317(f317(f319(f906(f905(a899,a899),a895)),f568(x72742,x72741)),a88))
% 184.03/183.90 [7317]E(f317(f317(f124(a899),f129(a899,f317(f292(a899,x73171),x73172))),f317(f317(f141(a899),x73172),f103(a899))),f129(a899,f317(f292(a899,x73171),f317(a102,x73172))))+~P1(f317(f317(f224(a899),x73171),x73172))
% 184.03/183.90 [7469]E(x74691,f2(a899))+~E(f317(f132(a899,a899,f74(a899),x74691),x74692),f2(a899))
% 184.03/183.90 [7494]~P1(f317(f317(f225(a1),f317(f317(f3(a1),x74941),x74942)),f2(a1)))+P1(f317(f317(f225(a1),x74941),x74942))
% 184.03/183.90 [7523]P36(x75231,x75232)+~P36(x75231,f317(f317(f279(x75231,x75231,x75231),x75232),x75232))
% 184.03/183.90 [7548]~P1(f317(f317(f224(a899),f317(a102,x75481)),x75482))+P1(f175(a895,a229,f317(f224(a899),x75481),x75482))
% 184.03/183.90 [7703]P24(a899,a899,f317(f317(f9(a899,a899,a899),f3(a899)),x77031),x77032)+P1(f317(f317(f319(a899),f570(x77031,x77032)),x77032))
% 184.03/183.90 [7761]E(f317(f317(f317(f59(a899,x77611,f74(a899)),f317(f18(a899,x77611),f72(a899))),f2(a899)),x77612),f317(f29(x77611),x77612))+~P1(f317(f28(x77611),x77612))
% 184.03/183.90 [7803]P24(a899,a899,f317(f317(f9(a899,a899,a899),f3(a899)),x78031),x78032)+~P1(f317(f317(f224(a899),x78031),f570(x78031,x78032)))
% 184.03/183.90 [7859]P36(x78591,x78592)+P1(f317(f317(f224(f906(x78591,a895)),f565(x78592,x78591)),f317(f275(x78591,x78591,x78592),f565(x78592,x78591))))
% 184.03/183.90 [7864]P59(x78641,x78642)+~P36(x78641,f317(f252(f905(x78641,x78641)),f317(f247(x78641,x78641,a895),x78642)))
% 184.03/183.90 [7865]P49(x78651,x78652)+~P37(x78651,f317(f252(f905(x78651,x78651)),f317(f247(x78651,x78651,a895),x78652)))
% 184.03/183.90 [7866]P50(x78661,x78662)+~P51(x78661,f317(f252(f905(x78661,x78661)),f317(f247(x78661,x78661,a895),x78662)))
% 184.03/183.90 [7934]P1(f317(f317(f224(a899),f317(a102,x79341)),x79342))+~P1(f175(a895,a229,f317(f224(a899),x79341),x79342))
% 184.03/183.90 [7991]P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x79911),x79912)),f297(a899,a307)))+~P1(f317(f317(f224(a899),x79911),x79912))
% 184.03/183.90 [8087]P42(x80871,x80872)+~P52(x80871,f232(f906(x80871,a895)),f317(f252(f905(x80871,x80871)),f317(f247(x80871,x80871,a895),x80872)))
% 184.03/183.90 [8142]~P1(f317(f127(x81421),x81422))+P1(f317(f127(f906(x81421,a895)),f317(f317(f144(f900(x81421),f906(x81421,a895)),f162(x81421)),f49(x81421,x81422))))
% 184.03/183.90 [8343]~P36(x83431,f317(f276(x83431,x83431),x83432))+P36(x83431,f317(f276(x83431,x83431),f317(f317(f279(x83431,x83431,x83431),x83432),f297(x83431,x83432))))
% 184.03/183.90 [8355]P149(x83551,f317(f317(f299(a894),f317(a910,x83552)),f178(f906(a894,a895))))+~P149(f317(f317(f299(a894),f317(a910,x83552)),x83551),f317(f317(f299(a894),f911(f222(a896,f33(x83552)))),f178(f906(a894,a895))))
% 184.03/183.90 [8442]P25(x84421,a899,f807(x84422,x84421),x84422,f317(f292(a899,f2(a899)),f317(f29(x84421),x84422)))+~P1(f317(f28(x84421),x84422))
% 184.03/183.90 [8443]P25(a899,x84431,f808(x84432,x84431),f317(f292(a899,f2(a899)),f317(f29(x84431),x84432)),x84432)+~P1(f317(f28(x84431),x84432))
% 184.03/183.90 [8460]P25(a899,x84601,f809(x84602,x84601),f293(a899,f72(a899),f317(f29(x84601),x84602)),x84602)+~P1(f317(f28(x84601),x84602))
% 184.03/183.90 [8470]P1(f317(f28(f905(x84701,x84701)),f317(f317(f279(x84701,x84701,x84701),x84702),f297(x84701,x84702))))+~P1(f317(f28(f905(x84701,x84701)),x84702))
% 184.03/183.90 [8497]E(x84971,f2(a1))+P1(f317(f44(x84972,x84971),f317(f317(f242(a1,a1),f317(f317(f30(a1),x84972),x84971)),f40(a1,x84972,x84971))))
% 184.03/183.90 [8511]~P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x85111),x85112)),f297(a899,a307)))+P1(f317(f317(f224(a899),x85111),x85112))
% 184.03/183.90 [8528]~P81(x85281)+E(f317(f132(x85281,x85281,f317(f9(x85281,x85281,x85281),f74(x85281)),f2(x85281)),f317(f158(x85281),x85282)),f317(f132(x85281,x85281,f74(x85281),f2(x85281)),x85282))
% 184.03/183.90 [8699]~P107(x86991)+E(f317(f132(f900(x86991),x86991,f317(f9(x86991,f900(x86991),f900(x86991)),f138(x86991,x86991,f7(x86991))),f103(x86991)),x86992),f140(x86991,x86991,f7(x86991),x86992))
% 184.03/183.90 [8810]~P57(x88101,f317(f252(f905(x88101,x88101)),f317(f247(x88101,x88101,a895),x88102)))+P57(x88101,f317(f252(f905(x88101,x88101)),f317(f247(x88101,x88101,a895),f233(x88101,x88101,x88102))))
% 184.03/183.90 [8824]P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x88241),x88242)),f317(f317(f279(a899,a899,a899),a307),f297(a899,a307))))+~P1(f317(f317(f225(a899),x88241),x88242))
% 184.03/183.90 [8870]~P1(f317(f28(f905(x88701,x88701)),f317(f317(f279(x88701,x88701,x88701),x88702),f297(x88701,x88702))))+P1(f317(f28(f905(x88701,x88701)),x88702))
% 184.03/183.90 [8928]~P57(x89281,f317(f252(f905(x89281,x89281)),f317(f247(x89281,x89281,a895),f233(x89281,x89281,x89282))))+P57(x89281,f317(f252(f905(x89281,x89281)),f317(f247(x89281,x89281,a895),x89282)))
% 184.03/183.90 [9125]P57(x91251,x91252)+P1(f317(f317(f319(f905(x91251,x91251)),f317(f317(f242(x91251,x91251),f597(x91252,x91251)),f597(x91252,x91251))),f317(f317(f279(x91251,x91251,x91251),x91252),f297(x91251,x91252))))
% 184.03/183.90 [9126]P57(x91261,x91262)+P1(f317(f317(f319(f905(x91261,x91261)),f317(f317(f242(x91261,x91261),f599(x91262,x91261)),f599(x91262,x91261))),f317(f317(f279(x91261,x91261,x91261),x91262),f297(x91261,x91262))))
% 184.03/183.90 [9243]~P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x92431),x92432)),f317(f317(f279(a899,a899,a899),a307),f297(a899,a307))))+P1(f317(f317(f225(a899),x92431),x92432))
% 184.03/183.90 [5149]~P93(x51491)+E(f317(f317(f74(x51491),f317(f94(x51491),a77)),x51492),x51492)
% 184.03/183.90 [5179]~P67(x51791)+E(f317(f317(f74(x51791),f317(f73(x51791),x51792)),x51792),f2(x51791))
% 184.03/183.90 [5180]~P75(x51801)+E(f317(f317(f74(x51801),f317(f73(x51801),x51802)),x51802),f2(x51801))
% 184.03/183.90 [5181]~P95(x51811)+E(f317(f317(f91(x51811),f317(f73(x51811),x51812)),x51812),f232(x51811))
% 184.03/183.90 [5182]~P95(x51821)+E(f317(f317(f92(x51821),f317(f73(x51821),x51822)),x51822),f178(x51821))
% 184.03/183.90 [5215]~P93(x52151)+E(f317(f317(f75(x52151),f317(f94(x52151),a87)),x52152),f317(f73(x52151),x52152))
% 184.03/183.90 [5372]~P118(x53721)+E(f317(f317(f75(x53721),f317(f73(x53721),f72(x53721))),x53722),f317(f73(x53721),x53722))
% 184.03/183.90 [5418]E(f317(f70(a1),x54181),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54181),x54182)),f72(a1))
% 184.03/183.90 [5510]~P93(x55101)+E(f317(f317(f74(x55101),f72(x55101)),f317(f94(x55101),x55102)),f317(f94(x55101),f317(f317(f3(a1),x55102),a87)))
% 184.03/183.90 [5563]~P107(x55631)+E(f16(x55631,f317(f317(f299(x55631),x55632),f178(f906(x55631,a895)))),x55632)
% 184.03/183.90 [5564]~P107(x55641)+E(f17(x55641,f317(f317(f299(x55641),x55642),f178(f906(x55641,a895)))),x55642)
% 184.03/183.90 [5565]~P98(x55651)+E(f12(x55651,f317(f317(f299(x55651),x55652),f178(f906(x55651,a895)))),x55652)
% 184.03/183.90 [5566]~P5(x55661)+E(f31(x55661,f317(f317(f299(x55661),x55662),f178(f906(x55661,a895)))),x55662)
% 184.03/183.90 [5567]~P98(x55671)+E(f13(x55671,f317(f317(f299(x55671),x55672),f178(f906(x55671,a895)))),x55672)
% 184.03/183.90 [5568]~P5(x55681)+E(f32(x55681,f317(f317(f299(x55681),x55682),f178(f906(x55681,a895)))),x55682)
% 184.03/183.90 [5590]E(f317(f317(f74(a899),x55901),f317(f317(f3(a899),x55902),x55901)),x55902)+P1(f317(f317(f225(a899),x55902),x55901))
% 184.03/183.90 [5628]E(x56281,f103(x56282))+P1(f317(f317(f225(a899),f2(a899)),f317(f179(f900(x56282)),x56281)))
% 184.03/183.90 [5754]~P107(x57541)+E(f14(x57541,f228(x57541),f317(f317(f299(x57541),x57542),f178(f906(x57541,a895)))),x57542)
% 184.03/183.90 [5755]~P107(x57551)+E(f15(x57551,f223(x57551),f317(f317(f299(x57551),x57552),f178(f906(x57551,a895)))),x57552)
% 184.03/183.90 [5816]E(f317(f317(f3(a899),x58161),f317(f317(f3(a899),x58161),x58162)),x58162)+~P1(f317(f317(f224(a899),x58162),x58161))
% 184.03/183.90 [5817]E(f317(f317(f74(a899),x58171),f317(f317(f3(a899),x58172),x58171)),x58172)+~P1(f317(f317(f224(a899),x58171),x58172))
% 184.03/183.90 [5839]E(f40(a899,f317(f317(f3(a899),x58391),x58392),x58392),f40(a899,x58391,x58392))+P1(f317(f317(f225(a899),x58391),x58392))
% 184.03/183.90 [5850]E(f317(f73(a1),f317(f317(f30(a1),x58501),f317(f73(a1),x58502))),f283(x58501,x58502))+P1(f317(f317(f224(a1),f2(a1)),x58502))
% 184.03/183.90 [5852]~E(x58522,f2(a899))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f234(a899),x58521),x58522)))
% 184.03/183.90 [5915]~P93(x59151)+E(f317(f317(f74(x59151),f317(f73(x59151),f72(x59151))),f317(f94(x59151),x59152)),f317(f94(x59151),f317(f317(f74(a1),x59152),a87)))
% 184.03/183.90 [5917]E(f317(f317(f234(a899),f317(f94(a899),x59171)),x59172),f317(f317(f234(a899),f2(a899)),x59172))+~P1(f317(a183,f317(f94(a1),x59171)))
% 184.03/183.90 [6025]E(f317(f131(a899),f129(a899,f317(f292(a899,x60251),x60252))),x60251)+~P1(f317(f317(f225(a899),x60251),x60252))
% 184.03/183.90 [6041]E(f317(f317(f75(a899),f317(f94(a899),x60411)),f317(f94(a899),x60412)),f317(f94(a899),f317(f317(f75(a1),x60411),x60412)))+P1(f317(f317(f225(a1),x60411),a77))
% 184.03/183.90 [6047]~P127(x60471)+P1(f317(f317(f224(x60471),f2(x60471)),f317(f317(f75(x60471),x60472),x60472)))
% 184.03/183.90 [6059]E(f317(f317(f3(a899),f317(a102,x60591)),x60592),f317(a102,f317(f317(f3(a899),x60591),x60592)))+~P1(f317(f317(f224(a899),x60592),x60591))
% 184.03/183.90 [6063]E(f40(a899,f317(f317(f3(a899),x60631),x60632),x60632),f40(a899,x60631,x60632))+~P1(f317(f317(f224(a899),x60632),x60631))
% 184.03/183.90 [6117]E(f317(f317(f234(a899),f317(a95,x61171)),x61172),f317(a95,f317(f317(f234(a1),x61171),x61172)))+~P1(f317(f317(f224(a1),f2(a1)),x61171))
% 184.03/183.90 [6135]P1(f317(f127(x61351),x61352))+P1(f317(f317(f225(a899),f648(x61352,x61351)),f317(f179(f900(x61351)),x61352)))
% 184.03/183.90 [6136]P1(f317(f127(x61361),x61362))+P1(f317(f317(f225(a899),f652(x61362,x61361)),f317(f179(f900(x61361)),x61362)))
% 184.03/183.90 [6150]~E(x61501,f103(x61502))+~P1(f317(f317(f225(a899),f2(a899)),f317(f179(f900(x61502)),x61501)))
% 184.03/183.90 [6161]E(f134(a899,f129(a899,f317(f292(a899,x61611),x61612))),f317(f317(f3(a899),x61612),f72(a899)))+~P1(f317(f317(f225(a899),x61611),x61612))
% 184.03/183.90 [6164]E(f317(f317(f74(a1),x61641),f317(f90(a1),f317(a102,f878(x61642,x61641)))),x61642)+~P1(f317(f317(f225(a1),x61641),x61642))
% 184.03/183.90 [6171]E(x61711,f2(a899))+E(f317(f317(f75(a899),x61712),f317(f317(f234(a899),x61712),f317(f317(f3(a899),x61711),f72(a899)))),f317(f317(f234(a899),x61712),x61711))
% 184.03/183.90 [6199]E(f317(f317(f75(a899),f317(a95,x61991)),f317(a95,x61992)),f317(a95,f317(f317(f75(a1),x61991),x61992)))+~P1(f317(f317(f224(a1),f2(a1)),x61991))
% 184.03/183.90 [6200]E(f317(f317(f30(a899),f317(a95,x62001)),f317(a95,x62002)),f317(a95,f317(f317(f30(a1),x62001),x62002)))+~P1(f317(f317(f224(a1),f2(a1)),x62001))
% 184.03/183.90 [6215]~P120(x62151)+E(f317(f317(f74(x62151),x62152),x62152),f317(f317(f75(x62151),f317(f317(f74(x62151),f72(x62151)),f72(x62151))),x62152))
% 184.03/183.90 [6238]E(f317(f317(f3(a1),f317(f90(a1),x62381)),f317(f90(a1),x62382)),f317(f90(a1),f317(f317(f3(a899),x62381),x62382)))+~P1(f317(f317(f224(a899),x62382),x62381))
% 184.03/183.90 [6240]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x62401),x62402)),f45(x62401,x62402))+~P1(f317(f317(f224(a1),x62402),f2(a1)))
% 184.03/183.90 [6274]E(f169(x62741,x62742),f103(f900(x62741)))+P1(f317(f317(f319(f900(x62741)),f647(x62742,x62741)),f317(f162(f900(x62741)),x62742)))
% 184.03/183.90 [6284]E(f106(a1,f317(f119(a1),x62841),f118(x62842,f317(f317(f74(a1),x62841),f72(a1)))),f118(x62842,x62841))+P1(f317(f317(f225(a1),x62842),x62841))
% 184.03/183.90 [6339]~P1(f317(f317(f277(a899),x63391),x63392))+P1(f317(f317(f277(a899),x63391),f317(f317(f74(a899),x63392),x63391)))
% 184.03/183.90 [6361]E(f317(f317(f141(a1),x63611),f168(f317(f317(f74(a1),x63611),f72(a1)),x63612)),f168(x63611,x63612))+~P1(f317(f317(f224(a1),x63611),x63612))
% 184.03/183.90 [6383]P149(x63831,x63832)+~P1(f317(f317(f224(f906(a894,a895)),x63832),x63831))
% 184.03/183.90 [6404]~P1(f317(f317(f225(a899),x64042),x64041))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f3(a899),x64041),x64042)))
% 184.03/183.90 [6436]~P1(f317(f317(f225(a899),x64361),f317(a95,x64362)))+P1(f317(f317(f225(a1),f317(f90(a1),x64361)),x64362))
% 184.03/183.90 [6465]~P107(x64651)+E(f317(f317(f91(f906(x64651,a895)),f317(f272(x64651),x64652)),f317(f317(f299(x64651),x64652),f178(f906(x64651,a895)))),f317(f291(x64651),x64652))
% 184.03/183.90 [6466]~P1(f317(f317(f224(a1),f2(a1)),x64661))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),x64661),x64662)))
% 184.03/183.90 [6469]~P1(f317(f317(f225(a899),f2(a899)),x64691))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f234(a899),x64691),x64692)))
% 184.03/183.90 [6496]~E(f317(x64961,f2(a899)),f2(a899))+E(f317(f317(f8(a899,a899),x64961),f293(a899,f317(a102,f2(a899)),x64962)),f317(f317(f8(a899,a899),x64961),f293(a899,f2(a899),x64962)))
% 184.03/183.90 [6562]~P93(x65621)+E(f317(f317(f75(x65621),f317(f317(f74(x65621),f72(x65621)),f72(x65621))),f317(f94(x65621),x65622)),f317(f94(x65621),f317(f317(f74(a1),x65622),x65622)))
% 184.03/183.90 [6582]E(f317(f317(f299(a1),x65821),f293(a1,f317(f317(f74(a1),x65821),f72(a1)),x65822)),f293(a1,x65821,x65822))+P1(f317(f317(f225(a1),x65822),x65821))
% 184.03/183.90 [6583]P1(f317(f317(f225(a899),x65831),f317(a95,x65832)))+~P1(f317(f317(f225(a1),f317(f90(a1),x65831)),x65832))
% 184.03/183.90 [6683]P1(f317(f317(f277(a899),x66831),x66832))+~P1(f317(f317(f277(a899),x66831),f317(f317(f74(a899),x66832),x66831)))
% 184.03/183.90 [6688]E(f317(a95,f317(f317(f30(a1),f317(f94(a1),x66881)),f317(f94(a1),x66882))),f317(f317(f30(a899),f317(f94(a899),x66881)),f317(f94(a899),x66882)))+P1(f317(a183,f317(f94(a1),x66881)))
% 184.03/183.90 [6749]P1(f317(f317(f225(a899),x67491),x67492))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f3(a899),x67492),x67491)))
% 184.03/183.90 [6793]P1(f317(f317(f225(a899),f2(a899)),x67931))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f75(a899),x67932),x67931)))
% 184.03/183.90 [6794]P1(f317(f317(f225(a899),f2(a899)),x67941))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f75(a899),x67941),x67942)))
% 184.03/183.90 [6813]~P1(f317(f317(f224(a1),x68131),f2(a1)))+E(f317(f317(f75(a899),f317(a95,f317(f73(a1),x68131))),f317(a95,f317(f73(a1),x68132))),f317(a95,f317(f317(f75(a1),x68131),x68132)))
% 184.03/183.90 [6874]~E(x68742,f178(f906(x68741,a895)))+P1(f317(f317(f224(f906(x68741,a895)),x68742),f317(f73(f906(x68741,a895)),x68742)))
% 184.03/183.90 [6936]~P93(x69361)+E(f317(f317(f74(x69361),f317(f317(f74(x69361),f2(x69361)),f317(f94(x69361),x69362))),f317(f94(x69361),x69362)),f317(f94(x69361),f317(f317(f74(a1),x69362),x69362)))
% 184.03/183.90 [6992]~P1(f317(f317(f225(a1),x69921),x69922))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x69921),f72(a1))),x69922))
% 184.03/183.90 [7063]E(x70631,f2(a899))+~P1(f317(f317(f224(a1),f317(f90(a1),x70632)),f317(f73(a1),f317(f90(a1),x70631))))
% 184.03/183.90 [7064]E(x70641,f2(a899))+~P1(f317(f317(f224(a1),f317(f90(a1),x70641)),f317(f73(a1),f317(f90(a1),x70642))))
% 184.03/183.90 [7166]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x71661),x71662)),f45(x71661,x71662))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x71661),x71662)))
% 184.03/183.90 [7210]~P26(x72101,x72102)+P36(x72101,f317(f241(f906(f905(x72101,x72101),a895),f906(f905(x72101,x72101),a895)),x72102))
% 184.03/183.90 [7229]~P1(f317(f317(f224(a899),f317(a102,f2(a899))),x72291))+P1(f317(f317(f224(a899),f317(a102,f2(a899))),f317(f317(f234(a899),x72291),x72292)))
% 184.03/183.90 [7407]~P1(f317(f317(f224(a1),x74071),x74072))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74071),x74071)),f317(f317(f74(a1),x74072),x74072)))
% 184.03/183.90 [7412]~P1(f317(f317(f225(a1),x74121),x74122))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74121),x74121)),f317(f317(f74(a1),x74122),x74122)))
% 184.03/183.90 [7470]~P1(f317(f317(f225(a899),f2(a899)),x74701))+P1(f317(f317(f225(a899),f317(f317(f3(a899),x74701),f317(a102,x74702))),x74701))
% 184.03/183.90 [7505]P1(f317(f317(f224(a899),f317(a102,f2(a899))),x75051))+~P1(f317(f317(f224(a899),f317(a102,f2(a899))),f317(f317(f75(a899),x75052),x75051)))
% 184.03/183.90 [7506]P1(f317(f317(f224(a899),f317(a102,f2(a899))),x75061))+~P1(f317(f317(f224(a899),f317(a102,f2(a899))),f317(f317(f75(a899),x75061),x75062)))
% 184.03/183.90 [7510]P1(f317(f317(f224(a899),f317(f317(f154(a899),x75101),x75102)),f317(f155(a899),x75101)))+~P1(f317(f317(f225(a899),x75102),f317(f179(f900(a899)),x75101)))
% 184.03/183.90 [7547]P1(f317(f317(f225(a1),x75471),x75472))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x75471),f72(a1))),x75472))
% 184.03/183.90 [7588]P1(f317(f28(x75881),f232(f906(x75881,a895))))+~P1(f317(f28(f906(x75882,x75881)),f232(f906(f906(x75882,x75881),a895))))
% 184.03/183.90 [7589]P1(f317(f28(x75891),f232(f906(x75891,a895))))+~P1(f317(f28(f904(x75892,x75891)),f232(f906(f904(x75892,x75891),a895))))
% 184.03/183.90 [7590]P1(f317(f28(x75901),f232(f906(x75901,a895))))+~P1(f317(f28(f904(x75901,x75902)),f232(f906(f904(x75901,x75902),a895))))
% 184.03/183.90 [7630]E(x76301,f178(f906(x76302,a895)))+~P1(f317(f317(f224(f906(x76302,a895)),x76301),f317(f73(f906(x76302,a895)),x76301)))
% 184.03/183.90 [7771]E(f317(f132(f900(x77711),f900(x77711),f124(x77711),f103(x77711)),x77712),f103(x77711))+P1(f317(f317(f319(f900(x77711)),f678(x77712,x77711)),f317(f162(f900(x77711)),x77712)))
% 184.03/183.90 [7772]E(f317(f132(f900(x77721),f900(x77721),f124(x77721),f103(x77721)),x77722),f103(x77721))+P1(f317(f317(f319(f900(x77721)),f684(x77722,x77721)),f317(f162(f900(x77721)),x77722)))
% 184.03/183.90 [8009]P1(f317(f317(f224(a1),x80091),x80092))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x80091),x80091)),f317(f317(f74(a1),x80092),x80092)))
% 184.03/183.90 [8014]P1(f317(f317(f225(a1),x80141),x80142))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x80141),x80141)),f317(f317(f74(a1),x80142),x80142)))
% 184.03/183.90 [8107]~P120(x81071)+E(f317(f317(f75(x81071),f317(f317(f74(x81071),f72(x81071)),f72(x81071))),f317(f317(f8(a899,x81071),f90(x81071)),f293(a899,f72(a899),x81072))),f317(f317(f75(x81071),f317(f90(x81071),x81072)),f317(f317(f74(x81071),f317(f90(x81071),x81072)),f72(x81071))))
% 184.03/183.90 [8156]P1(f317(f317(f319(a899),x81561),x81562))+~P1(f317(f317(f319(a1),f317(f90(a1),x81561)),f317(f300(a899,a1,f90(a1)),x81562)))
% 184.03/183.90 [8315]~P1(f317(f28(x83151),x83152))+E(f317(f300(a899,x83151,f527(x83152,x83151)),f317(f252(a899),f317(f317(f9(a899,a899,a895),f225(a899)),f528(x83152,x83151)))),x83152)
% 184.03/183.90 [8596]P53(x85961,x85962)+P1(f317(f317(f319(f905(x85961,x85961)),f317(f317(f242(x85961,x85961),f470(x85962,x85961)),f470(x85962,x85961))),x85962))
% 184.03/183.90 [8597]P37(x85971,x85972)+P1(f317(f317(f319(f905(x85971,x85971)),f317(f317(f242(x85971,x85971),f770(x85972,x85971)),f773(x85972,x85971))),x85972))
% 184.03/183.90 [8598]P37(x85981,x85982)+P1(f317(f317(f319(f905(x85981,x85981)),f317(f317(f242(x85981,x85981),f773(x85982,x85981)),f774(x85982,x85981))),x85982))
% 184.03/183.90 [8599]P38(x85991,x85992)+P1(f317(f317(f319(f905(x85991,x85991)),f317(f317(f242(x85991,x85991),f689(x85992,x85991)),f688(x85992,x85991))),x85992))
% 184.03/183.90 [8600]P38(x86001,x86002)+P1(f317(f317(f319(f905(x86001,x86001)),f317(f317(f242(x86001,x86001),f688(x86002,x86001)),f689(x86002,x86001))),x86002))
% 184.03/183.90 [8601]P51(x86011,x86012)+P1(f317(f317(f319(f905(x86011,x86011)),f317(f317(f242(x86011,x86011),f785(x86012,x86011)),f786(x86012,x86011))),x86012))
% 184.03/183.90 [8742]~P93(x87421)+E(f317(f317(f3(x87421),f72(x87421)),f317(f94(x87421),x87422)),f317(f94(x87421),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x87422))))
% 184.03/183.90 [8867]~P1(f317(f317(f225(f906(a899,a895)),x88671),x88672))+P1(f317(f317(f225(f906(a1,a895)),f317(f300(a899,a1,f90(a1)),x88671)),f317(f300(a899,a1,f90(a1)),x88672)))
% 184.03/183.90 [8901]~P1(f317(f317(f225(a1),x89011),x89012))+P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89011),x89011)),a87)),f317(f317(f74(a1),x89012),x89012)))
% 184.03/183.90 [8903]~P1(f317(f317(f225(a1),x89031),x89032))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89031),x89031)),a87)),f317(f317(f74(a1),x89032),x89032)))
% 184.03/183.90 [8976]~P1(f317(f317(f319(a899),x89761),f317(f162(a899),x89762)))+P1(f317(f317(f224(a899),x89761),f317(f132(a899,a899,f74(a899),f2(a899)),x89762)))
% 184.03/183.90 [9065]P45(x90651,x90652)+~P1(f317(f317(f319(f905(x90651,x90651)),f317(f317(f242(x90651,x90651),f444(x90652,x90651)),f444(x90652,x90651))),x90652))
% 184.03/183.90 [9066]P37(x90661,x90662)+~P1(f317(f317(f319(f905(x90661,x90661)),f317(f317(f242(x90661,x90661),f770(x90662,x90661)),f774(x90662,x90661))),x90662))
% 184.03/183.90 [9067]P51(x90671,x90672)+~P1(f317(f317(f319(f905(x90671,x90671)),f317(f317(f242(x90671,x90671),f786(x90672,x90671)),f785(x90672,x90671))),x90672))
% 184.03/183.90 [9206]~P1(f317(f317(f224(f906(a1,a895)),f317(f300(a899,a1,f90(a1)),x92061)),f317(f300(a899,a1,f90(a1)),x92062)))+P1(f317(f317(f224(f906(a899,a895)),x92061),x92062))
% 184.03/183.90 [9207]~P1(f317(f317(f225(f906(a1,a895)),f317(f300(a899,a1,f90(a1)),x92071)),f317(f300(a899,a1,f90(a1)),x92072)))+P1(f317(f317(f225(f906(a899,a895)),x92071),x92072))
% 184.03/183.90 [9292]P1(f317(f317(f225(a1),x92921),x92922))+~P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92921),x92921)),a87)),f317(f317(f74(a1),x92922),x92922)))
% 184.03/183.90 [9294]P1(f317(f317(f225(a1),x92941),x92942))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92941),x92941)),a87)),f317(f317(f74(a1),x92942),x92942)))
% 184.03/183.90 [10193]~P104(x101931)+E(f106(f900(x101931),f317(f119(f900(x101931)),f103(x101931)),f317(f317(f317(f86(f901(f900(x101931))),f317(f317(f225(a1),f2(a1)),x101932)),f317(f108(f905(x101931,f900(x101931)),f900(x101931),f121(x101931,f900(x101931),f122(x101931,f317(f317(f3(a1),x101932),f72(a1))),f122(f900(x101931),f317(f317(f3(a1),x101932),f72(a1))))),f317(f247(x101931,f900(x101931),f901(f900(x101931))),f317(f317(f10(f906(f900(x101931),f900(x101931)),f906(f900(x101931),f901(f900(x101931))),x101931),f317(f10(f900(x101931),f901(f900(x101931)),f900(x101931)),f119(f900(x101931)))),f141(x101931))))),f105(f900(x101931)))),f122(f900(x101931),x101932))
% 184.03/183.90 [10215]~P1(f317(f28(x102151),x102152))+E(f317(f179(f900(x102151)),f84(f900(x102151),f317(f317(f20(f900(x102151),a895,a895),f317(f317(f10(a895,f906(a895,a895),f900(x102151)),a315),f317(f317(f9(f900(x102151),f906(x102151,a895),a895),f317(f317(f10(f906(x102151,a895),f906(f906(x102151,a895),a895),f900(x102151)),a314),f162(x102151))),x102152))),f127(x102151)))),f204(x102151,x102152))
% 184.03/183.90 [6160]E(f317(f317(f74(a899),f317(f317(f3(a899),x61601),x61602)),x61602),x61601)+~P1(f317(f317(f224(a899),x61602),x61601))
% 184.03/183.90 [6234]E(f317(f317(f30(a899),f317(f317(f75(a899),x62341),x62342)),x62342),x62341)+~P1(f317(f317(f225(a899),f2(a899)),x62342))
% 184.03/183.90 [6235]E(f317(f317(f30(a899),f317(f317(f75(a899),x62351),x62352)),x62351),x62352)+~P1(f317(f317(f225(a899),f2(a899)),x62351))
% 184.03/183.90 [6239]~P70(x62391)+E(f317(f317(f8(a899,x62391),f317(f154(x62391),x62392)),f317(f292(a899,f2(a899)),f317(f179(f900(x62391)),x62392))),f317(f155(x62391),x62392))
% 184.03/183.90 [6353]E(f40(a899,f317(a102,f317(f317(f75(a899),x63531),x63532)),x63531),f72(a899))+~P1(f317(f317(f225(a899),f72(a899)),x63531))
% 184.03/183.90 [6359]E(f317(a102,f317(f317(f74(a899),f317(f94(a899),x63591)),x63592)),f317(f317(f74(a899),f72(a899)),x63592))+~P1(f317(a183,f317(f94(a1),x63591)))
% 184.03/183.90 [6389]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x63891)),x63892)),f317(f317(f234(a899),f317(f94(a899),x63891)),x63892))+P1(f317(a183,f317(f94(a1),x63891)))
% 184.03/183.90 [6637]E(f317(f317(f3(a899),x66371),f317(f94(a899),f317(f317(f74(a1),x66372),a87))),f317(f317(f3(a899),f317(a102,x66371)),f317(f94(a899),x66372)))+~P1(f317(f317(f225(a1),a77),x66372))
% 184.03/183.90 [6719]E(x67191,f2(a899))+E(f317(a102,f317(f317(f74(a899),f317(f317(f3(a899),x67191),f72(a899))),x67192)),f317(f317(f74(a899),x67191),x67192))
% 184.03/183.90 [6762]E(x67621,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67621)),x67622)))
% 184.03/183.90 [6777]~E(x67772,f2(a899))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67771)),x67772)))
% 184.03/183.90 [6816]E(x68161,f2(a899))+E(f317(f317(f74(a899),x68162),f317(f317(f75(a899),f317(f317(f3(a899),x68161),f72(a899))),x68162)),f317(f317(f75(a899),x68161),x68162))
% 184.03/183.90 [6867]~P1(f317(f317(f224(a1),x68671),x68672))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68671),a87)),x68672))
% 184.03/183.90 [6996]E(f317(f317(f141(a899),x69961),f129(a899,f317(f292(a899,f317(a102,x69961)),x69962))),f129(a899,f317(f292(a899,x69961),x69962)))+~P1(f317(f317(f225(a899),x69961),x69962))
% 184.03/183.90 [7201]E(x72011,x72012)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x72011),x72011)),a87),f317(f317(f3(a1),f317(f317(f74(a1),x72012),x72012)),a87))
% 184.03/183.90 [7204]E(x72041,f103(x72042))+E(f256(x72042,f317(f317(f144(x72042,f905(a89,x72042)),f317(f242(a89,x72042),f72(a89))),x72041)),f265(x72042,x72041))
% 184.03/183.90 [7440]P1(f317(f317(f224(a1),x74401),x74402))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74401),a87)),x74402))
% 184.03/183.90 [7913]~P1(f317(f317(f225(a899),x79131),x79132))+P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x79131),x79132)),a230))
% 184.03/183.90 [8133]~P1(f317(f317(f225(a89),f2(a89)),x81331))+P1(f317(f317(f225(a89),f317(f241(a89,f905(a89,a89)),f317(f257(x81331),x81332))),x81331))
% 184.03/183.90 [8397]~P37(x83971,x83972)+P37(x83971,f317(f317(f91(f906(f905(x83971,x83971),a895)),x83972),f297(x83971,f178(f906(f905(x83971,x83971),a895)))))
% 184.03/183.90 [8398]~P38(x83981,x83982)+P38(x83981,f317(f317(f91(f906(f905(x83981,x83981),a895)),x83982),f297(x83981,f178(f906(f905(x83981,x83981),a895)))))
% 184.03/183.90 [8446]~P85(x84461)+P1(f317(f317(f224(x84461),f317(f70(x84461),f317(f155(x84461),x84462))),f317(f155(x84461),f317(f317(f144(x84461,x84461),f70(x84461)),x84462))))
% 184.03/183.90 [8472]P1(f317(f317(f225(a899),x84721),x84722))+~P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),x84721),x84722)),a230))
% 184.03/183.90 [8620]E(f317(f317(f242(x86201,x86201),f607(x86202,x86201)),f607(x86202,x86201)),x86202)+~P1(f317(f317(f319(f905(x86201,x86201)),x86202),f297(x86201,f178(f906(f905(x86201,x86201),a895)))))
% 184.03/183.90 [8664]E(f317(f292(a899,x86641),f317(f317(f74(a899),x86641),f317(f29(a899),x86642))),x86642)+~P1(f317(f317(f224(f906(a899,a895)),x86642),f317(f292(a899,x86641),f317(f317(f74(a899),x86641),f317(f29(a899),x86642)))))
% 184.03/183.90 [8894]P38(x88941,x88942)+~P38(x88941,f317(f317(f91(f906(f905(x88941,x88941),a895)),x88942),f297(x88941,f178(f906(f905(x88941,x88941),a895)))))
% 184.03/183.90 [9020]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x90201),x90201)),a87))),f317(f94(a1),f317(f317(f74(a1),x90202),x90202))),f317(f317(f30(a1),f317(f94(a1),x90201)),f317(f94(a1),x90202)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x90202)))
% 184.03/183.90 [9110]~P37(x91101,x91102)+P1(f317(f317(f224(f906(f905(x91101,x91101),a895)),f317(f317(f279(x91101,x91101,x91101),x91102),x91102)),x91102))
% 184.03/183.90 [9136]E(f167(f900(x91361),f317(f317(f10(a895,a895,f900(x91361)),a312),f317(f317(f9(f900(x91361),f900(x91361),a895),a314),f103(x91361))),x91362),f169(x91361,f169(x91361,x91362)))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x91361),a899),f179(f900(x91361))),x91362)))
% 184.03/183.90 [9139]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x91391),x91391)),a87))),f317(f94(a1),f317(f317(f74(a1),x91392),x91392))),f317(f317(f30(a1),f317(f317(f74(a1),f317(f94(a1),x91391)),f72(a1))),f317(f94(a1),x91392)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x91392)))
% 184.03/183.90 [9990]P1(f317(a183,x99902))+E(f317(f317(f80(a1,a899),f317(f317(f3(a1),x99901),x99902)),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),a95)),f317(f317(f3(a899),f317(a95,x99901)),f317(a95,x99902)))
% 184.03/183.90 [9998]E(f317(f317(f80(a1,a899),f317(f94(a1),f317(f317(f74(a1),x99981),f317(f73(a1),x99982)))),f317(f317(f20(a1,a899,a899),f317(f317(f9(a1,a899,f906(a899,a899)),f317(f317(f10(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),a95)),f317(f317(f3(a899),f317(f94(a899),x99981)),f317(f94(a899),x99982)))+P1(f317(f317(f225(a1),x99982),a77))
% 184.03/183.90 [9999]~P26(x99991,x99992)+P1(f317(f317(f224(f906(f905(x99991,x99991),a895)),f317(f317(f279(x99991,x99991,x99991),f317(f241(f906(f905(x99991,x99991),a895),f906(f905(x99991,x99991),a895)),x99992)),f317(f246(f906(f905(x99991,x99991),a895),f906(f905(x99991,x99991),a895)),x99992))),f317(f241(f906(f905(x99991,x99991),a895),f906(f905(x99991,x99991),a895)),x99992)))
% 184.03/183.90 [10054]~E(f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,f906(a899,a895),a895),f319(a899)),x100541))),f317(f317(f9(a899,a899,a895),f225(a899)),f317(a102,x100542))))),f2(a899))+~P1(f317(f317(f319(a899),f2(a899)),x100541))
% 184.03/183.90 [10065]E(f289(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x100651,x100652),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x100652),x100651))
% 184.03/183.90 [10070]E(f290(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x100701,x100702),f178(f906(a899,a895)))+P1(f317(f317(f277(a899),x100701),x100702))
% 184.03/183.90 [10071]E(f287(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x100711,x100712),f178(f906(a899,a895)))+P1(f317(f317(f277(a899),x100711),x100712))
% 184.03/183.90 [10075]E(f290(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x100751,x100752),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x100752),x100751))
% 184.03/183.90 [10077]E(f287(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x100771,x100772),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x100772),x100771))
% 184.03/183.90 [10120]E(f40(a1,f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x101201),x101201)),a87)),f317(f94(a1),f317(f317(f74(a1),x101202),x101202))),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f94(a1),x101201),f317(f94(a1),x101202)))),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101202)))
% 184.03/183.90 [10129]E(f40(a1,f317(f94(a1),f317(f317(f3(a1),f317(f317(f74(a1),x101291),x101291)),a87)),f317(f94(a1),f317(f317(f74(a1),x101292),x101292))),f317(f317(f3(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f317(f74(a1),f317(f94(a1),x101291)),f72(a1)),f317(f94(a1),x101292)))),f72(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101292)))
% 184.03/183.90 [10184]~P5(x101841)+E(f31(x101841,f317(f252(x101841),f317(f317(f10(f906(x101841,a895),a895,x101841),f82(x101841)),f317(f317(f10(f906(x101841,a895),f906(x101841,a895),x101841),f317(f20(x101841,a895,a895),f317(f317(f10(a895,f906(a895,a895),x101841),a320),f317(f317(f9(x101841,f906(x101841,a895),a895),f319(x101841)),x101842)))),f224(x101841))))),f32(x101841,x101842))
% 184.03/183.90 [10208]~P36(x102081,x102082)+P59(x102081,f317(f317(f9(x102081,f906(f905(x102081,x102081),a895),f906(x102081,a895)),f317(f317(f10(f906(x102081,f906(f906(f905(x102081,x102081),a895),a895)),f906(f906(f905(x102081,x102081),a895),f906(x102081,a895)),x102081),f9(x102081,f906(f905(x102081,x102081),a895),a895)),f317(f317(f10(f906(x102081,f905(x102081,x102081)),f906(x102081,f906(f906(f905(x102081,x102081),a895),a895)),x102081),f317(f10(f905(x102081,x102081),f906(f906(f905(x102081,x102081),a895),a895),x102081),f319(f905(x102081,x102081)))),f242(x102081,x102081)))),x102082))
% 184.03/183.90 [10209]~P8(x102091,f232(f906(x102091,a895)),x102092)+P7(x102091,f317(f317(f9(x102091,f906(f905(x102091,x102091),a895),f906(x102091,a895)),f317(f317(f10(f906(x102091,f906(f906(f905(x102091,x102091),a895),a895)),f906(f906(f905(x102091,x102091),a895),f906(x102091,a895)),x102091),f9(x102091,f906(f905(x102091,x102091),a895),a895)),f317(f317(f10(f906(x102091,f905(x102091,x102091)),f906(x102091,f906(f906(f905(x102091,x102091),a895),a895)),x102091),f317(f10(f905(x102091,x102091),f906(f906(f905(x102091,x102091),a895),a895),x102091),f319(f905(x102091,x102091)))),f242(x102091,x102091)))),x102092))
% 184.03/183.90 [10252]P36(x102521,x102522)+~P59(x102521,f317(f317(f9(x102521,f906(f905(x102521,x102521),a895),f906(x102521,a895)),f317(f317(f10(f906(x102521,f906(f906(f905(x102521,x102521),a895),a895)),f906(f906(f905(x102521,x102521),a895),f906(x102521,a895)),x102521),f9(x102521,f906(f905(x102521,x102521),a895),a895)),f317(f317(f10(f906(x102521,f905(x102521,x102521)),f906(x102521,f906(f906(f905(x102521,x102521),a895),a895)),x102521),f317(f10(f905(x102521,x102521),f906(f906(f905(x102521,x102521),a895),a895),x102521),f319(f905(x102521,x102521)))),f242(x102521,x102521)))),x102522))
% 184.03/183.90 [10253]P8(x102531,f232(f906(x102531,a895)),x102532)+~P7(x102531,f317(f317(f9(x102531,f906(f905(x102531,x102531),a895),f906(x102531,a895)),f317(f317(f10(f906(x102531,f906(f906(f905(x102531,x102531),a895),a895)),f906(f906(f905(x102531,x102531),a895),f906(x102531,a895)),x102531),f9(x102531,f906(f905(x102531,x102531),a895),a895)),f317(f317(f10(f906(x102531,f905(x102531,x102531)),f906(x102531,f906(f906(f905(x102531,x102531),a895),a895)),x102531),f317(f10(f905(x102531,x102531),f906(f906(f905(x102531,x102531),a895),a895),x102531),f319(f905(x102531,x102531)))),f242(x102531,x102531)))),x102532))
% 184.03/183.90 [7387]E(f317(f317(f74(a899),f317(f94(a899),f317(f317(f3(a1),x73871),a87))),x73872),f317(a102,f317(f317(f74(a899),f317(f94(a899),x73871)),x73872)))+P1(f317(a183,f317(f94(a1),x73871)))
% 184.03/183.90 [7830]~P93(x78301)+E(f317(f317(f74(x78301),f317(f317(f74(x78301),f72(x78301)),f317(f94(x78301),x78302))),f317(f94(x78301),x78302)),f317(f94(x78301),f317(f317(f3(a1),f317(f317(f74(a1),x78302),x78302)),a87)))
% 184.03/183.90 [8474]~P1(f317(f317(f224(a1),x84741),x84742))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x84741),x84741)),f317(f317(f3(a1),f317(f317(f74(a1),x84742),x84742)),a87)))
% 184.03/183.90 [8476]~P1(f317(f317(f224(a1),x84761),x84762))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x84761),x84761)),f317(f317(f3(a1),f317(f317(f74(a1),x84762),x84762)),a87)))
% 184.03/183.90 [8905]P1(f317(f317(f224(a1),x89051),x89052))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x89051),x89051)),f317(f317(f3(a1),f317(f317(f74(a1),x89052),x89052)),a87)))
% 184.03/183.90 [8907]P1(f317(f317(f224(a1),x89071),x89072))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x89071),x89071)),f317(f317(f3(a1),f317(f317(f74(a1),x89072),x89072)),a87)))
% 184.03/183.90 [9195]~P1(f317(f317(f224(a1),x91951),x91952))+P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x91951),x91951)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x91952),x91952)),a87)))
% 184.03/183.90 [9197]~P1(f317(f317(f225(a1),x91971),x91972))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x91971),x91971)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x91972),x91972)),a87)))
% 184.03/183.90 [9469]P1(f317(f317(f224(a1),x94691),x94692))+~P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),x94691),x94691)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x94692),x94692)),a87)))
% 184.03/183.90 [9471]P1(f317(f317(f225(a1),x94711),x94712))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),x94711),x94711)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x94712),x94712)),a87)))
% 184.03/183.90 [9504]~P1(f317(f28(x95041),x95042))+P1(f317(f28(f906(x95041,a895)),f317(f252(f906(x95041,a895)),f317(f317(f9(f906(x95041,a895),f906(x95041,a895),a895),f224(f906(x95041,a895))),x95042))))
% 184.03/183.90 [9556]~E(f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),x95561),f178(f906(f905(a899,a899),a895)))),f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),x95562),f178(f906(f905(a899,a899),a895)))))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x95561),x95562)),a99))
% 184.03/183.90 [9650]E(f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),x96501),f178(f906(f905(a899,a899),a895)))),f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),x96502),f178(f906(f905(a899,a899),a895)))))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x96501),x96502)),a99))
% 184.03/183.90 [9687]P1(f317(f317(f224(a1),f2(a1)),f598(x96871,x96872)))+E(f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96871)),f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96872)))
% 184.03/183.90 [10192]~P5(x101921)+E(f32(x101921,f317(f252(x101921),f317(f317(f10(f906(x101921,a895),a895,x101921),f82(x101921)),f317(f317(f10(f906(x101921,a895),f906(x101921,a895),x101921),f317(f20(x101921,a895,a895),f317(f317(f10(a895,f906(a895,a895),x101921),a320),f317(f317(f9(x101921,f906(x101921,a895),a895),f319(x101921)),x101922)))),f317(f9(x101921,x101921,a895),f224(x101921)))))),f31(x101921,x101922))
% 184.03/183.90 [10214]P1(f317(f317(f319(a899),f2(a899)),x102141))+E(f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),a899),f319(a899)),a102)),x102141))),f317(f317(f9(a899,a899,a895),f225(a899)),x102142)))),f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,f906(a899,a895),a895),f319(a899)),x102141))),f317(f317(f9(a899,a899,a895),f225(a899)),f317(a102,x102142))))))
% 184.03/183.90 [10272]P1(f317(f317(f277(a899),x102721),x102722))+~P1(f317(f317(f319(a899),x102722),f285(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102721)))
% 184.03/183.90 [10273]P1(f317(f317(f277(a899),x102731),x102732))+~P1(f317(f317(f319(a899),x102731),f288(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102732)))
% 184.03/183.90 [10274]~P1(f317(f317(f277(a899),x102741),x102742))+~P1(f317(f317(f319(a899),x102742),f288(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102741)))
% 184.03/183.90 [10275]~P1(f317(f317(f277(a899),x102751),x102752))+~P1(f317(f317(f319(a899),x102751),f285(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102752)))
% 184.03/183.90 [7697]~P93(x76971)+E(f317(f317(f75(x76971),x76972),f317(f94(x76971),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x76972)
% 184.03/183.90 [7961]~P93(x79611)+E(f317(f317(f74(x79611),f317(f94(x79611),x79612)),f72(x79611)),f317(f94(x79611),f317(f317(f74(a1),x79612),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 184.03/183.90 [8105]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81052)))+E(f317(f317(f234(a1),x81051),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x81052),x81052)),a87))),f72(a1))
% 184.03/183.90 [9531]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95312)))+E(f317(f317(f234(a1),x95311),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x95312),x95312)),a87))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x95311),f317(f94(a899),x95312))),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f906(a1,a1),a1),f75(a1)),f317(f75(a1),x95311))),f7(a1))))
% 184.03/183.90 [9909]~P1(f317(f317(f224(a899),f632(x99092,x99091)),f317(x99091,f632(x99092,x99091))))+P1(f317(f28(a899),f317(f252(a899),f317(f317(f9(a899,a899,a895),f317(f317(f10(a899,f906(a899,a895),a899),f224(a899)),x99091)),x99092))))
% 184.03/183.90 [10044]~P1(f317(f317(f224(a899),f317(f94(a899),x100441)),f317(a102,x100442)))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x100441),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),f224(a899)),a95)),x100442))))
% 184.03/183.90 [10045]~P1(f317(f317(f225(a899),f317(f94(a899),x100451)),f317(a102,x100452)))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x100451),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),f225(a899)),a95)),x100452))))
% 184.03/183.90 [10104]P1(f317(f317(f224(a899),f317(f94(a899),x101041)),f317(a102,x101042)))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101041),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),f224(a899)),a95)),x101042))))
% 184.03/183.90 [10105]P1(f317(f317(f225(a899),f317(f94(a899),x101051)),f317(a102,x101052)))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101051),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),f225(a899)),a95)),x101052))))
% 184.03/183.90 [10135]~P1(f317(f317(f224(a899),f317(a102,x101352)),f317(f94(a899),x101351)))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101351),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f10(a899,a895,a1),f317(f224(a899),x101352)),a95)))))
% 184.03/183.90 [10136]~P1(f317(f317(f225(a899),f317(a102,x101362)),f317(f94(a899),x101361)))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101361),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f10(a899,a895,a1),f317(f225(a899),x101362)),a95)))))
% 184.03/183.90 [10182]P1(f317(f317(f224(a899),f317(a102,x101821)),f317(f94(a899),x101822)))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101822),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f10(a899,a895,a1),f317(f224(a899),x101821)),a95)))))
% 184.03/183.90 [10183]P1(f317(f317(f225(a899),f317(a102,x101831)),f317(f94(a899),x101832)))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101832),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f10(a899,a895,a1),f317(f225(a899),x101831)),a95)))))
% 184.03/183.90 [10262]~P1(f317(f317(f319(a899),f2(a899)),x102621))+E(f317(a102,f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,f906(a899,a895),a895),f317(f317(f10(a899,f906(f906(a899,a895),a895),a899),f319(a899)),a102)),x102621))),f317(f317(f9(a899,a899,a895),f225(a899)),x102622))))),f317(f29(a899),f317(f252(a899),f317(f317(f20(a899,a895,a895),f317(f317(f10(a895,f906(a895,a895),a899),a315),f317(f317(f9(a899,f906(a899,a895),a895),f319(a899)),x102621))),f317(f317(f9(a899,a899,a895),f225(a899)),f317(a102,x102622))))))
% 184.03/183.90 [8647]~P93(x86471)+E(f317(f317(f75(x86471),f317(f94(x86471),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x86472),x86472)
% 184.03/183.90 [8708]~P93(x87081)+E(f317(f317(f74(x87081),f72(x87081)),f317(f94(x87081),x87082)),f317(f94(x87081),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x87082)))
% 184.03/183.90 [8770]~P93(x87701)+E(f317(f317(f3(x87701),f317(f94(x87701),x87702)),f72(x87701)),f317(f94(x87701),f317(f317(f74(a1),x87702),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [8924]~P1(f317(f317(f225(a899),f317(f94(a899),a77)),x89242))+E(f317(f317(f3(a899),x89241),f317(f317(f3(a899),x89242),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f3(a899),f317(a102,x89241)),x89242))
% 184.03/183.90 [9574]~P120(x95741)+E(f317(f317(f75(x95741),x95742),x95742),f317(f317(f234(x95741),x95742),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [9575]~P80(x95751)+E(f317(f317(f234(x95751),x95752),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f75(x95751),x95752),x95752))
% 184.03/183.90 [9577]~P93(x95771)+E(f317(f317(f75(x95771),x95772),f317(f94(x95771),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(x95771),x95772),x95772))
% 184.03/183.90 [9826]~P113(x98261)+E(f317(f317(f234(x98261),f317(f70(x98261),x98262)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98261),x98262),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [9827]~P141(x98271)+E(f317(f317(f234(x98271),f317(f73(x98271),x98272)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98271),x98272),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [9823]~P93(x98231)+E(f317(f317(f75(x98231),f317(f94(x98231),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x98232),f317(f317(f74(x98231),x98232),x98232))
% 184.03/183.90 [9942]~P113(x99421)+E(f317(f70(x99421),f317(f317(f234(x99421),x99422),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x99421),x99422),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [10006]~P113(x100061)+P1(f317(f317(f224(x100061),f2(x100061)),f317(f317(f234(x100061),x100062),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.90 [10173]~E(f317(a102,x101732),f317(f94(a899),x101731))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101731),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),a314),a95)),x101732)))))
% 184.03/183.90 [10174]~E(f317(f94(a899),x101741),f317(a102,x101742))+P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x101741),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),a314),a95)),x101742)))))
% 184.03/183.90 [10217]E(f317(a102,x102171),f317(f94(a899),x102172))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x102172),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),a314),a95)),x102171)))))
% 184.03/183.90 [10218]E(f317(f94(a899),x102181),f317(a102,x102182))+~P1(f317(f317(f80(a1,a895),f317(f94(a1),f317(f317(f74(a1),x102181),a87))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a320),f317(f317(f10(a895,a895,a1),a312),a183))),f317(f317(f9(a1,a899,a895),f317(f317(f10(a899,f906(a899,a895),a1),a314),a95)),x102182)))))
% 184.03/183.90 [10263]~P15(x102631,x102632)+P1(f317(f317(f319(f906(x102631,a895)),f793(x102632,x102631)),f317(f317(f10(f906(x102631,a895),a895,f906(x102631,a895)),f81(x102631)),f317(f317(f10(f906(x102631,a895),f906(x102631,a895),f906(x102631,a895)),f317(f20(x102631,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102631),a315),f317(f317(f20(x102631,x102631,a895),x102632),f7(x102631))))),f317(f317(f9(f906(x102631,a895),f906(x102631,f906(x102631,a895)),f906(x102631,a895)),f317(f317(f10(f906(f906(x102631,a895),a895),f906(f906(x102631,f906(x102631,a895)),f906(x102631,a895)),f906(x102631,a895)),f10(f906(x102631,a895),a895,x102631)),a314)),x102632)))))
% 184.03/183.90 [10004]~P93(x100041)+E(f317(f317(f234(x100041),f317(f94(x100041),a87)),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100042)),f72(x100041))
% 184.03/183.90 [10005]~P141(x100051)+E(f317(f317(f234(x100051),f317(f73(x100051),f72(x100051))),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100052)),f72(x100051))
% 184.03/183.90 [10008]~P80(x100081)+E(f317(f317(f234(x100081),x100082),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f317(f75(x100081),f317(f317(f75(x100081),x100082),x100082)),x100082))
% 184.03/183.90 [10197]~P1(f317(f317(f224(a1),f2(a1)),x101972))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101971)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101972)),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,x101971,x101972))))
% 184.03/183.90 [10220]~P1(f317(f317(f224(a1),f2(a1)),x102202))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102201))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102202)),f317(f317(f30(a1),x102201),x102202))
% 184.03/183.90 [10222]~P1(f317(f317(f224(a1),x102222),f2(a1)))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102221))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102222)),f317(f317(f30(a1),f317(f317(f74(a1),x102221),f72(a1))),x102222))
% 184.03/183.90 [10223]~P1(f317(f317(f224(a1),x102232),f2(a1)))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102231)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102232)),f317(f317(f3(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f317(f74(a1),x102231),f72(a1)),x102232))),f72(a1)))
% 184.03/183.90 [10095]~P93(x100951)+E(f317(f317(f234(x100951),f317(f94(x100951),a87)),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100952))),f317(f94(x100951),a87))
% 184.03/183.90 [10097]~P141(x100971)+E(f317(f317(f234(x100971),f317(f73(x100971),f72(x100971))),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100972))),f317(f73(x100971),f72(x100971)))
% 184.03/183.90 [5013]P37(x50131,x50132)+~P8(x50131,x50133,x50132)
% 184.03/183.90 [5015]P51(x50151,x50152)+~P8(x50151,x50153,x50152)
% 184.03/183.90 [5188]~P8(x51881,x51882,x51883)+P52(x51881,x51882,x51883)
% 184.03/183.90 [8171]~E(x81712,x81713)+P33(x81711,x81711,a314,x81712,x81713)
% 184.03/183.90 [8721]E(x87211,x87212)+~P33(x87213,x87213,a314,x87211,x87212)
% 184.03/183.90 [4817]E(f159(x48171,x48172,x48173),f103(x48171))+~E(x48172,f2(a899))
% 184.03/183.90 [4985]~E(f159(x49852,x49851,x49853),f103(x49852))+E(x49851,f2(a899))
% 184.03/183.90 [5193]~P36(x51931,x51933)+P36(x51931,f311(x51931,x51932,x51933))
% 184.03/183.90 [5302]~P28(x53021,x53022,x53023)+P30(a1,x53021,f168(x53022,x53023))
% 184.03/183.90 [5370]P28(x53701,x53702,x53703)+~P30(a1,x53701,f168(x53702,x53703))
% 184.03/183.90 [5442]~P8(x54421,x54422,x54423)+P8(f900(x54421),f151(x54421,x54422),f148(x54421,x54423))
% 184.03/183.90 [5443]~P52(x54431,x54432,x54433)+P52(f900(x54431),f151(x54431,x54432),f148(x54431,x54433))
% 184.03/183.90 [5556]P55(x55561,x55562,x55563)+~E(f583(x55563,x55562,x55561),f584(x55563,x55562,x55561))
% 184.03/183.90 [5557]P54(x55571,x55572,x55573)+~E(f602(x55573,x55572,x55571),f603(x55573,x55572,x55571))
% 184.03/183.90 [8177]~E(x81772,x81773)+P25(x81771,x81771,f25(x81771),x81772,x81773)
% 184.03/183.90 [8729]E(x87291,x87292)+~P25(x87293,x87293,f25(x87293),x87291,x87292)
% 184.03/183.90 [4772]~E(f317(f158(x47722),x47721),x47723)+E(x47721,f317(f158(x47722),x47723))
% 184.03/183.90 [4773]~E(x47732,f317(f158(x47731),x47733))+E(f317(f158(x47731),x47732),x47733)
% 184.03/183.90 [4823]E(x48231,x48232)+~E(f317(f158(x48233),x48231),f317(f158(x48233),x48232))
% 184.03/183.90 [5039]~P7(x50393,x50391)+P1(f317(f317(x50391,x50392),x50392))
% 184.03/183.90 [5040]~P42(x50403,x50401)+P1(f317(f317(x50401,x50402),x50402))
% 184.03/183.90 [5042]~P59(x50421,x50422)+P1(f317(f305(x50421,x50422),x50423))
% 184.03/183.90 [5108]~P36(x51081,x51082)+P36(f900(x51081),f317(f133(x51081,x51082),x51083))
% 184.03/183.90 [5113]~P1(f317(x51132,x51133))+~E(f317(f252(x51131),x51132),f178(f906(x51131,a895)))
% 184.03/183.90 [5114]~P1(f317(x51142,x51143))+~E(f178(f906(x51141,a895)),f317(f252(x51141),x51142))
% 184.03/183.90 [5126]E(x51261,f2(a899))+E(f134(x51262,f159(x51262,x51261,x51263)),x51263)
% 184.03/183.90 [5145]~P1(f317(x51451,x51453))+P1(f317(x51451,f84(x51452,x51451)))
% 184.03/183.90 [5146]~P1(f317(x51461,x51463))+P1(f317(x51461,f719(x51461,x51462)))
% 184.03/183.90 [5158]E(x51581,f2(a899))+E(f317(f131(x51582),f159(x51582,x51581,x51583)),x51583)
% 184.03/183.90 [5264]~E(x52642,x52643)+P1(f317(f317(f319(x52641),x52642),f317(a314,x52643)))
% 184.03/183.90 [5279]~E(x52792,f2(a899))+E(f317(f162(x52791),f159(x52791,x52792,x52793)),f178(f906(x52791,a895)))
% 184.03/183.90 [5324]E(f317(f158(x53241),x53242),f317(f317(f141(x53241),x53243),f103(x53241)))+~E(x53242,f317(f317(f141(x53241),x53243),f103(x53241)))
% 184.03/183.90 [5325]~E(x53253,f317(f317(f141(x53251),x53252),f103(x53251)))+E(f317(f317(f141(x53251),x53252),f103(x53251)),f317(f158(x53251),x53253))
% 184.03/183.90 [5366]~P32(x53661,x53662,x53663)+P32(x53661,x53662,f317(f158(x53661),x53663))
% 184.03/183.90 [5367]~P30(x53671,x53672,x53673)+P30(x53671,x53672,f317(f158(x53671),x53673))
% 184.03/183.90 [5371]E(f317(f29(x53711),f782(x53712,x53713,x53711)),x53712)+~E(f317(f29(x53711),x53713),f317(a102,x53712))
% 184.03/183.90 [5378]~P36(x53781,x53783)+P1(f317(f317(f319(x53781),x53782),f306(x53781,x53783)))
% 184.03/183.90 [5382]~E(f317(f158(x53822),x53821),f317(f317(f141(x53822),x53823),f103(x53822)))+E(x53821,f317(f317(f141(x53822),x53823),f103(x53822)))
% 184.03/183.90 [5383]~E(f317(f317(f141(x53832),x53833),f103(x53832)),f317(f158(x53832),x53831))+E(x53831,f317(f317(f141(x53832),x53833),f103(x53832)))
% 184.03/183.90 [5407]E(f79(f905(a899,a899),f43(x54071,x54072)),x54073)+~P1(f317(f43(x54071,x54072),x54073))
% 184.03/183.90 [5446]P32(x54461,x54462,x54463)+~P32(x54461,x54462,f317(f158(x54461),x54463))
% 184.03/183.90 [5447]P30(x54471,x54472,x54473)+~P30(x54471,x54472,f317(f158(x54471),x54473))
% 184.03/183.90 [5486]P1(f317(f317(x54861,x54862),x54862))+~P1(f317(f260(x54863,x54861),x54862))
% 184.03/183.90 [5487]~P1(f317(f317(x54872,x54873),x54873))+P1(f317(f260(x54871,x54872),x54873))
% 184.03/183.90 [5509]~E(x55092,f103(x55091))+P1(f317(f317(f319(f900(x55091)),x55092),f151(x55091,x55093)))
% 184.03/183.90 [5519]~P52(x55191,x55192,x55193)+P52(x55191,x55192,f317(f276(x55191,x55191),x55193))
% 184.03/183.90 [5520]~P55(x55201,x55202,x55203)+P55(x55201,x55202,f317(f276(x55201,x55201),x55203))
% 184.03/183.90 [5537]~P3(x55371)+E(f40(x55371,f40(x55371,x55372,x55373),x55373),f40(x55371,x55372,x55373))
% 184.03/183.90 [5639]E(x56391,x56392)+~P1(f317(f317(f319(x56393),x56391),f317(a314,x56392)))
% 184.03/183.90 [5686]~P145(x56861)+E(f180(x56861,x56862,f2(a899),x56863),x56863)
% 184.03/183.90 [5708]P52(x57081,x57082,x57083)+~P52(x57081,x57082,f317(f276(x57081,x57081),x57083))
% 184.03/183.90 [5709]P55(x57091,x57092,x57093)+~P55(x57091,x57092,f317(f276(x57091,x57091),x57093))
% 184.03/183.90 [5713]~P107(x57132)+E(f140(x57131,x57132,x57133,f103(x57131)),f103(x57131))
% 184.03/183.90 [5725]E(f160(x57251,x57252,f142(x57251,x57253)),f142(x57251,f160(x57251,x57252,x57253)))+~P1(f317(f127(x57251),x57253))
% 184.03/183.90 [5824]~P1(f317(f317(x58243,x58242),x58242))+P1(f317(f317(f319(x58241),x58242),f260(x58241,x58243)))
% 184.03/183.90 [5826]E(f317(f126(x58261,x58262),x58263),f103(x58261))+P1(f317(x58262,f655(x58263,x58262,x58261)))
% 184.03/183.90 [5894]E(f62(x58941,x58942,x58943),x58942)+P1(f317(x58943,f720(x58942,x58941,x58943)))
% 184.03/183.90 [5990]~P1(f317(f127(x59901),x59902))+P1(f317(f127(x59901),f166(x59901,x59902,x59903)))
% 184.03/183.90 [5991]~P1(f317(f127(x59911),x59913))+P1(f317(f127(x59911),f160(x59911,x59912,x59913)))
% 184.03/183.90 [5992]~P1(f317(f127(x59921),x59923))+P1(f317(f127(x59921),f167(x59921,x59922,x59923)))
% 184.03/183.90 [5993]~P1(f317(f127(x59931),x59933))+P1(f317(f127(x59931),f130(x59931,x59932,x59933)))
% 184.03/183.90 [5994]~P147(x59941,x59942,x59943)+P1(f317(x59941,f40(a1,x59942,x59943)))
% 184.03/183.90 [6011]~P32(x60113,x60111,x60112)+P1(f317(x60111,f733(x60112,x60111,x60113)))
% 184.03/183.90 [6012]~P34(x60123,x60121,x60122)+P1(f317(x60121,f746(x60122,x60121,x60123)))
% 184.03/183.90 [6013]~P34(x60133,x60131,x60132)+P1(f317(x60131,f749(x60132,x60131,x60133)))
% 184.03/183.90 [6014]~P32(x60143,x60141,x60142)+P1(f317(x60141,f776(x60141,x60142,x60143)))
% 184.03/183.90 [6015]~P32(x60153,x60151,x60152)+P1(f317(x60151,f777(x60152,x60151,x60153)))
% 184.03/183.90 [6020]P1(f317(f317(x60201,x60202),x60202))+~P1(f317(f317(f319(x60203),x60202),f260(x60203,x60201)))
% 184.03/183.90 [6035]E(f317(f126(x60351,x60352),x60353),f167(x60351,x60352,x60353))+P1(f317(x60352,f704(x60353,x60352,x60351)))
% 184.03/183.90 [6075]~P1(f317(f127(x60751),x60753))+P1(f317(f127(f900(x60751)),f50(x60751,x60752,x60753)))
% 184.03/183.90 [6111]~P109(x61111)+E(f317(f317(f92(f906(x61111,a895)),f317(f291(x61111),x61112)),f296(x61111,x61112,x61113)),f178(f906(x61111,a895)))
% 184.03/183.90 [6112]~P109(x61121)+E(f317(f317(f92(f906(x61121,a895)),f317(f291(x61121),x61122)),f295(x61121,x61122,x61123)),f178(f906(x61121,a895)))
% 184.03/183.90 [6113]~P109(x61131)+E(f317(f317(f92(f906(x61131,a895)),f317(f272(x61131),x61132)),f293(x61131,x61132,x61133)),f178(f906(x61131,a895)))
% 184.03/183.90 [6348]E(f317(f126(x63481,x63482),x63483),x63483)+~P1(f317(x63482,f667(x63483,x63482,x63481)))
% 184.03/183.90 [6350]E(f317(f317(f299(x63501),f789(x63502,x63503,x63501)),f782(x63502,x63503,x63501)),x63503)+~E(f317(f29(x63501),x63503),f317(a102,x63502))
% 184.03/183.90 [6366]P147(x63661,x63662,x63663)+~P1(f317(x63661,f40(a1,x63662,x63663)))
% 184.03/183.90 [6419]P30(x64191,x64192,x64193)+~P1(f317(x64192,f740(x64193,x64192,x64191)))
% 184.03/183.90 [6420]P30(x64201,x64202,x64203)+~P1(f317(x64202,f747(x64202,x64203,x64201)))
% 184.03/183.90 [6421]P30(x64211,x64212,x64213)+~P1(f317(x64212,f748(x64213,x64212,x64211)))
% 184.03/183.90 [6422]P28(x64221,x64222,x64223)+~P1(f317(x64221,f769(x64223,x64222,x64221)))
% 184.03/183.90 [6423]P29(x64231,x64232,x64233)+~P1(f317(x64231,f824(x64233,x64232,x64231)))
% 184.03/183.90 [6425]E(f167(x64251,x64252,x64253),x64253)+~P1(f317(x64252,f699(x64253,x64252,x64251)))
% 184.03/183.90 [6506]~P1(f317(x65062,f558(x65063,x65062,x65061)))+P1(f317(f238(x65061,x65062),x65063))
% 184.03/183.90 [6507]~P1(f317(x65072,f668(x65073,x65072,x65071)))+P1(f317(f150(x65071,x65072),x65073))
% 184.03/183.90 [6763]~P1(f317(f305(x67631,x67632),f434(x67633,x67632,x67631)))+P1(f317(f305(x67631,x67632),x67633))
% 184.03/183.90 [6764]~P1(f317(f305(x67641,x67642),f448(x67643,x67642,x67641)))+P1(f317(f305(x67641,x67642),x67643))
% 184.03/183.90 [7388]~P3(x73881)+E(f317(f317(f74(x73881),f317(f317(f75(x73881),x73882),f317(f317(f30(x73881),x73883),x73882))),f40(x73881,x73883,x73882)),x73883)
% 184.03/183.90 [7418]P28(x74181,x74182,x74183)+P1(f317(f317(f319(a1),f769(x74183,x74182,x74181)),f293(a1,x74182,x74183)))
% 184.03/183.90 [7851]E(f317(f317(f242(x78511,x78511),f502(x78512,x78513,x78511)),f502(x78512,x78513,x78511)),x78513)+~P1(f317(f317(f319(f905(x78511,x78511)),x78513),f253(x78511,x78512)))
% 184.03/183.90 [7969]~P1(f317(f317(f319(x79691),f514(x79693,x79692,x79691)),f306(x79691,x79693)))+P1(f317(f317(f319(x79691),x79692),f306(x79691,x79693)))
% 184.03/183.90 [7970]~P1(f317(f317(f319(x79701),f588(x79703,x79702,x79701)),f306(x79701,x79703)))+P1(f317(f317(f319(x79701),x79702),f306(x79701,x79703)))
% 184.03/183.90 [7971]~P1(f317(f317(f319(x79711),f590(x79713,x79712,x79711)),f306(x79711,x79713)))+P1(f317(f317(f319(x79711),x79712),f306(x79711,x79713)))
% 184.03/183.90 [8064]P32(a1,x80641,f168(x80642,x80643))+P28(f317(f67(a895,a895,a1,a312),x80641),x80642,x80643)
% 184.03/183.90 [8152]~P3(x81521)+E(f317(f317(f74(x81521),f317(f317(f75(x81521),f317(f317(f30(x81521),x81522),x81523)),x81523)),f40(x81521,x81522,x81523)),x81522)
% 184.03/183.90 [8198]~E(f317(f29(x81981),x81982),f317(a102,x81983))+~P1(f317(f317(f319(x81981),f789(x81983,x81982,x81981)),f782(x81983,x81982,x81981)))
% 184.03/183.90 [8639]~P32(a1,x86391,f168(x86392,x86393))+~P28(f317(f67(a895,a895,a1,a312),x86391),x86392,x86393)
% 184.03/183.90 [8826]P1(f317(f317(f224(f906(f905(x88261,x88261),a895)),f297(x88261,x88262)),f297(x88261,x88263)))+~P1(f317(f317(f224(f906(f905(x88261,x88261),a895)),x88262),f297(x88261,x88263)))
% 184.03/183.90 [9106]E(x91061,f103(x91062))+~P1(f317(f317(f319(f905(f900(x91062),f900(x91062))),f317(f317(f242(f900(x91062),f900(x91062)),x91061),f103(x91062))),f148(x91062,x91063)))
% 184.03/183.90 [9130]E(x91301,f103(x91302))+~P1(f317(f317(f319(f905(f900(x91302),f900(x91302))),f317(f317(f242(f900(x91302),f900(x91302)),f103(x91302)),x91301)),f148(x91302,x91303)))
% 184.03/183.90 [9255]E(f317(f317(f141(x92551),f673(x92552,x92553,x92551)),f674(x92552,x92553,x92551)),x92553)+~P1(f317(f317(f319(f905(f900(x92551),f900(x92551))),f317(f317(f242(f900(x92551),f900(x92551)),f103(x92551)),x92553)),f137(x92551,x92552)))
% 184.03/183.90 [9497]~P127(x94971)+~P1(f317(f317(f225(x94971),f317(f317(f74(x94971),f317(f317(f75(x94971),x94972),x94972)),f317(f317(f75(x94971),x94973),x94973))),f2(x94971)))
% 184.03/183.90 [9548]P1(f317(f28(x95481),x95482))+~P1(f317(f317(f319(f905(f906(x95481,a895),f906(x95481,a895))),f317(f317(f242(f906(x95481,a895),f906(x95481,a895)),x95483),x95482)),f304(x95481)))
% 184.03/183.90 [9852]~P46(x98521,x98522,x98523)+P1(f317(f317(f224(a1),f317(f317(f67(f905(a1,a1),a1,x98521,f241(a1,a1)),f202(x98521)),f220(x98521,x98522,f217(x98521,x98523)))),f2(a1)))
% 184.03/183.90 [9853]~P47(x98531,x98532,x98533)+P1(f317(f317(f225(a1),f317(f317(f67(f905(a1,a1),a1,x98531,f241(a1,a1)),f202(x98531)),f220(x98531,x98532,f217(x98531,x98533)))),f2(a1)))
% 184.03/183.90 [9972]P47(x99721,x99722,x99723)+~P1(f317(f317(f225(a1),f317(f317(f67(f905(a1,a1),a1,x99721,f241(a1,a1)),f202(x99721)),f220(x99721,x99722,f217(x99721,x99723)))),f2(a1)))
% 184.03/183.90 [9973]P46(x99731,x99732,x99733)+~P1(f317(f317(f224(a1),f317(f317(f67(f905(a1,a1),a1,x99731,f241(a1,a1)),f202(x99731)),f220(x99731,x99732,f217(x99731,x99733)))),f2(a1)))
% 184.03/183.90 [10325]~P113(x103251)+~P1(f317(f317(f225(x103251),f317(f317(f74(x103251),f317(f317(f234(x103251),x103252),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103251),x103253),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103251)))
% 184.03/183.90 [4802]~E(x48023,f103(x48021))+E(f317(f317(f124(x48021),x48022),x48023),x48022)
% 184.03/183.90 [4803]~E(x48032,f103(x48031))+E(f317(f317(f124(x48031),x48032),x48033),x48033)
% 184.03/183.90 [4809]~E(x48092,f2(a899))+E(f317(f317(f165(x48091),x48092),x48093),f103(x48091))
% 184.03/183.90 [4818]~E(x48183,f103(x48181))+E(f317(f317(f165(x48181),x48182),x48183),f103(x48181))
% 184.03/183.90 [4857]~E(x48571,x48573)+E(x48571,f317(f317(f124(x48572),f103(x48572)),x48573))
% 184.03/183.90 [4948]~P65(x49482)+E(f317(f178(f906(x49481,x49482)),x49483),f178(x49482))
% 184.03/183.90 [4949]~P116(x49492)+E(f317(f232(f906(x49491,x49492)),x49493),f232(x49492))
% 184.03/183.90 [4967]E(x49671,f103(x49672))+~E(f317(f317(f124(x49672),x49673),x49671),x49673)
% 184.03/183.90 [4968]E(x49681,f103(x49682))+~E(f317(f317(f124(x49682),x49681),x49683),x49683)
% 184.03/183.90 [4976]E(x49761,f103(x49762))+~E(f317(f317(f124(x49762),x49763),x49761),f103(x49762))
% 184.03/183.90 [4977]E(x49771,f103(x49772))+~E(f317(f317(f124(x49772),x49771),x49773),f103(x49772))
% 184.03/183.90 [5006]~E(x50062,f2(a899))+E(f317(f317(f75(a899),x50061),x50062),f317(f317(f75(a899),x50063),x50062))
% 184.03/183.90 [5008]~E(x50081,f2(a899))+E(f317(f317(f75(a899),x50081),x50082),f317(f317(f75(a899),x50081),x50083))
% 184.03/183.90 [5066]~P120(x50661)+E(f317(f317(f75(x50661),x50662),x50663),f317(f317(f75(x50661),x50663),x50662))
% 184.03/183.90 [5067]~P120(x50671)+E(f317(f317(f74(x50671),x50672),x50673),f317(f317(f74(x50671),x50673),x50672))
% 184.03/183.90 [5069]~P107(x50691)+E(f317(f317(f228(x50691),x50692),x50693),f317(f317(f228(x50691),x50693),x50692))
% 184.03/183.90 [5071]~P97(x50711)+E(f317(f317(f91(x50711),x50712),x50713),f317(f317(f91(x50711),x50713),x50712))
% 184.03/183.90 [5072]~P98(x50721)+E(f317(f317(f91(x50721),x50722),x50723),f317(f317(f91(x50721),x50723),x50722))
% 184.03/183.90 [5074]~P107(x50741)+E(f317(f317(f223(x50741),x50742),x50743),f317(f317(f223(x50741),x50743),x50742))
% 184.03/183.90 [5075]~P98(x50751)+E(f317(f317(f92(x50751),x50752),x50753),f317(f317(f92(x50751),x50753),x50752))
% 184.03/183.90 [5077]~P103(x50771)+E(f317(f317(f92(x50771),x50772),x50773),f317(f317(f92(x50771),x50773),x50772))
% 184.03/183.90 [5140]E(f40(a899,x51401,x51402),f2(a899))+~E(x51401,f317(f317(f75(a899),x51402),x51403))
% 184.03/183.90 [5141]E(f40(a1,x51411,x51412),f2(a1))+~E(x51411,f317(f317(f75(a1),x51412),x51413))
% 184.03/183.90 [5205]E(x52051,x52052)+~E(f317(f317(f74(a899),x52053),x52051),f317(f317(f74(a899),x52053),x52052))
% 184.03/183.90 [5206]E(x52061,x52062)+~E(f317(f317(f74(a899),x52061),x52063),f317(f317(f74(a899),x52062),x52063))
% 184.03/183.90 [5216]~P67(x52161)+E(f317(f317(f74(x52161),x52162),f317(f73(x52161),x52163)),f317(f317(f3(x52161),x52162),x52163))
% 184.03/183.90 [5217]~P75(x52171)+E(f317(f317(f74(x52171),x52172),f317(f73(x52171),x52173)),f317(f317(f3(x52171),x52172),x52173))
% 184.03/183.90 [5218]~P118(x52181)+E(f317(f317(f74(x52181),x52182),f317(f73(x52181),x52183)),f317(f317(f3(x52181),x52182),x52183))
% 184.03/183.90 [5219]~P95(x52191)+E(f317(f317(f92(x52191),x52192),f317(f73(x52191),x52193)),f317(f317(f3(x52191),x52192),x52193))
% 184.03/183.90 [5220]~P75(x52201)+E(f317(f317(f3(x52201),x52202),f317(f73(x52201),x52203)),f317(f317(f74(x52201),x52202),x52203))
% 184.03/183.90 [5258]~P1(f317(x52583,x52582))+P1(f317(f317(f319(x52581),x52582),x52583))
% 184.03/183.90 [5260]~P70(x52602)+E(f317(f317(f8(x52601,x52602),x52603),f178(f906(x52601,a895))),f2(x52602))
% 184.03/183.90 [5262]~P74(x52622)+E(f317(f317(f11(x52621,x52622),x52623),f178(f906(x52621,a895))),f72(x52622))
% 184.03/183.90 [5314]~E(x53142,f317(f317(f74(a899),x53141),x53143))+P1(f317(f317(f224(a899),x53141),x53142))
% 184.03/183.90 [5317]~E(x53172,f178(f906(x53171,a895)))+E(f317(f317(f55(x53171),x53172),x53173),f178(f906(f906(x53171,a895),a895)))
% 184.03/183.90 [5318]~E(x53182,f178(f906(x53181,a895)))+E(f178(f906(f906(x53181,a895),a895)),f317(f317(f55(x53181),x53182),x53183))
% 184.03/183.90 [5387]~E(f317(f274(x53872,x53873),x53871),f178(f906(x53873,a895)))+E(x53871,f178(f906(f905(x53872,x53873),a895)))
% 184.03/183.90 [5388]~E(f317(f254(x53882,x53883),x53881),f178(f906(x53882,a895)))+E(x53881,f178(f906(f905(x53882,x53883),a895)))
% 184.03/183.90 [5420]E(f317(f274(x54201,x54202),x54203),f178(f906(x54202,a895)))+~E(x54203,f178(f906(f905(x54201,x54202),a895)))
% 184.03/183.90 [5421]E(f317(f254(x54211,x54212),x54213),f178(f906(x54211,a895)))+~E(x54213,f178(f906(f905(x54211,x54212),a895)))
% 184.03/183.90 [5424]E(f264(x54241,x54242,x54243),f317(f317(f3(a89),x54242),x54243))+P1(f317(f317(f225(a89),x54242),x54243))
% 184.03/183.90 [5440]P1(f317(x54401,x54402))+~P1(f317(f317(f319(x54403),x54402),x54401))
% 184.03/183.90 [5479]E(x54791,x54792)+~E(f317(f73(f906(x54793,a895)),x54791),f317(f73(f906(x54793,a895)),x54792))
% 184.03/183.90 [5490]~E(x54901,f178(f906(x54902,a895)))+~P1(f317(f317(f319(x54902),x54903),x54901))
% 184.03/183.90 [5521]~E(x55212,f317(f317(f74(a1),x55211),f317(f90(a1),x55213)))+P1(f317(f317(f224(a1),x55211),x55212))
% 184.03/183.90 [5535]E(f317(f317(f299(x55351),x55352),x55353),x55353)+~P1(f317(f317(f319(x55351),x55352),x55353))
% 184.03/183.90 [5546]E(x55461,f178(f906(x55462,a895)))+~E(f317(f317(f55(x55462),x55461),x55463),f178(f906(f906(x55462,a895),a895)))
% 184.03/183.90 [5547]E(x55471,f178(f906(x55472,a895)))+~E(f178(f906(f906(x55472,a895),a895)),f317(f317(f55(x55472),x55471),x55473))
% 184.03/183.90 [5554]~P110(x55541)+E(f317(f317(f75(x55541),f317(f73(x55541),x55542)),f317(f73(x55541),x55543)),f317(f317(f75(x55541),x55542),x55543))
% 184.03/183.90 [5555]~P61(x55551)+E(f317(f317(f281(x55551),f317(f73(x55551),x55552)),f317(f73(x55551),x55553)),f317(f317(f281(x55551),x55552),x55553))
% 184.03/183.90 [5586]~P1(f317(x55863,x55862))+P1(f317(f317(f319(x55861),x55862),f317(f252(x55861),x55863)))
% 184.03/183.90 [5613]E(x56131,f2(a899))+E(f317(f162(x56132),f159(x56132,x56131,x56133)),f317(f317(f299(x56132),x56133),f178(f906(x56132,a895))))
% 184.03/183.90 [5632]E(f160(x56321,x56322,x56323),x56323)+P1(f317(f317(f319(x56321),x56322),f317(f162(x56321),x56323)))
% 184.03/183.90 [5717]~P1(f317(f127(x57171),x57173))+P1(f317(f127(x57171),f317(f126(x57171,x57172),x57173)))
% 184.03/183.90 [5760]~P3(x57601)+E(f317(f317(f30(x57601),f40(x57601,x57602,x57603)),x57603),f2(x57601))
% 184.03/183.90 [5779]E(f166(x57791,f317(f317(f141(x57791),x57792),f103(x57791)),x57793),f103(x57791))+P1(f317(f317(f319(a899),f2(a899)),x57793))
% 184.03/183.90 [5785]E(x57851,f2(a899))+E(f317(f161(x57852),f159(x57852,x57851,x57853)),f159(x57852,f317(f317(f3(a899),x57851),f72(a899)),x57853))
% 184.03/183.90 [5836]E(f317(f317(f141(x58361),x58362),x58363),f130(x58361,x58362,x58363))+P1(f317(f317(f319(x58361),x58362),f317(f162(x58361),x58363)))
% 184.03/183.90 [5845]E(x58451,x58452)+~E(f317(f317(f75(a899),f317(a102,x58453)),x58451),f317(f317(f75(a899),f317(a102,x58453)),x58452))
% 184.03/183.90 [5846]~E(x58462,f317(f317(f74(a1),x58461),f317(f90(a1),f317(a102,x58463))))+P1(f317(f317(f225(a1),x58461),x58462))
% 184.03/183.90 [5916]~P29(x59161,x59162,x59163)+P30(a899,x59161,f129(a899,f317(f292(a899,x59162),x59163)))
% 184.03/183.90 [5969]~E(x59693,f103(x59691))+E(f317(f317(f317(f173(f900(x59691),f900(x59691)),x59692),f157(x59691)),x59693),f103(x59691))
% 184.03/183.90 [5973]P1(f317(x59731,x59732))+~P1(f317(f317(f319(x59733),x59732),f317(f252(x59733),x59731)))
% 184.03/183.90 [6006]E(x60061,x60062)+~E(f317(f317(f299(x60063),x60061),f178(f906(x60063,a895))),f317(f317(f299(x60063),x60062),f178(f906(x60063,a895))))
% 184.03/183.90 [6022]~P109(x60221)+E(f317(f317(f92(f906(x60221,a895)),f317(f272(x60221),x60222)),f317(f292(x60221,x60222),x60223)),f178(f906(x60221,a895)))
% 184.03/183.90 [6061]E(f130(x60611,x60612,x60613),x60613)+~P1(f317(f317(f319(x60611),x60612),f317(f162(x60611),x60613)))
% 184.03/183.90 [6083]~P78(x60831)+E(f317(f300(x60831,x60831,f73(x60831)),f317(f292(x60831,x60832),x60833)),f295(x60831,f317(f73(x60831),x60833),f317(f73(x60831),x60832)))
% 184.03/183.90 [6094]E(f317(f179(f900(x60941)),f160(x60941,x60942,x60943)),f317(f179(f900(x60941)),x60943))+P1(f317(f317(f319(x60941),x60942),f317(f162(x60941),x60943)))
% 184.03/183.90 [6149]~P109(x61491)+E(f317(f317(f92(f906(x61491,a895)),f317(f292(x61491,x61492),x61493)),f317(f273(x61491),x61493)),f178(f906(x61491,a895)))
% 184.03/183.90 [6169]~P78(x61691)+E(f317(f300(x61691,x61691,f73(x61691)),f296(x61691,x61692,x61693)),f296(x61691,f317(f73(x61691),x61693),f317(f73(x61691),x61692)))
% 184.03/183.90 [6170]~P78(x61701)+E(f317(f300(x61701,x61701,f73(x61701)),f293(x61701,x61702,x61703)),f293(x61701,f317(f73(x61701),x61703),f317(f73(x61701),x61702)))
% 184.03/183.90 [6236]E(f166(x62361,f317(f317(f141(x62361),x62362),f103(x62361)),x62363),f317(f317(f141(x62361),x62362),f103(x62361)))+~P1(f317(f317(f319(a899),f2(a899)),x62363))
% 184.03/183.90 [6241]P29(x62411,x62412,x62413)+~P30(a899,x62411,f129(a899,f317(f292(a899,x62412),x62413)))
% 184.03/183.90 [6244]~P78(x62441)+E(f317(f300(x62441,x62441,f73(x62441)),f295(x62441,x62442,x62443)),f317(f292(x62441,f317(f73(x62441),x62443)),f317(f73(x62441),x62442)))
% 184.03/183.90 [6266]~P4(x62661)+E(f40(x62661,f317(f73(x62661),f40(x62661,x62662,x62663)),x62663),f40(x62661,f317(f73(x62661),x62662),x62663))
% 184.03/183.90 [6364]~P1(f317(f28(f905(x63642,x63641)),x63643))+P1(f317(f28(x63641),f317(f274(x63642,x63641),x63643)))
% 184.03/183.90 [6365]~P1(f317(f28(f905(x63651,x63652)),x63653))+P1(f317(f28(x63651),f317(f254(x63651,x63652),x63653)))
% 184.03/183.90 [6370]~P109(x63701)+E(f317(f317(f92(f906(x63701,a895)),f296(x63701,x63702,x63703)),f317(f273(x63701),x63703)),f178(f906(x63701,a895)))
% 184.03/183.90 [6371]~P109(x63711)+E(f317(f317(f92(f906(x63711,a895)),f293(x63711,x63712,x63713)),f317(f294(x63711),x63713)),f178(f906(x63711,a895)))
% 184.03/183.90 [6372]~P109(x63721)+E(f317(f317(f92(f906(x63721,a895)),f295(x63721,x63722,x63723)),f317(f294(x63721),x63723)),f178(f906(x63721,a895)))
% 184.03/183.90 [6445]E(f317(f317(f154(x64451),x64452),f643(x64452,x64453,x64451)),x64453)+~P1(f317(f317(f319(x64451),x64453),f317(f162(x64451),x64452)))
% 184.03/183.90 [6593]E(x65931,f103(x65932))+~E(f317(f317(f317(f173(f900(x65932),f900(x65932)),x65933),f157(x65932)),x65931),f103(x65932))
% 184.03/183.90 [6699]~P1(f317(f28(f905(x66992,x66991)),x66993))+P1(f317(f28(f905(x66991,x66992)),f317(f276(x66992,x66991),x66993)))
% 184.03/183.90 [6722]E(x67221,x67222)+~E(f280(a899,f277(a899),x67223,x67221),f317(f317(f299(a899),x67222),f178(f906(a899,a895))))
% 184.03/183.90 [6723]E(x67231,x67232)+~E(f280(a899,f277(a899),x67231,x67232),f317(f317(f299(a899),x67233),f178(f906(a899,a895))))
% 184.03/183.90 [6859]P55(x68591,x68592,x68593)+P1(f317(f317(f319(x68591),f584(x68593,x68592,x68591)),x68592))
% 184.03/183.90 [6860]P55(x68601,x68602,x68603)+P1(f317(f317(f319(x68601),f583(x68603,x68602,x68601)),x68602))
% 184.03/183.90 [6870]P1(f317(f305(x68701,x68702),x68703))+P1(f317(f317(x68702,f434(x68703,x68702,x68701)),x68703))
% 184.03/183.90 [6871]P1(f317(f305(x68711,x68712),x68713))+P1(f317(f317(x68712,f448(x68713,x68712,x68711)),x68713))
% 184.03/183.90 [6902]E(f317(f179(f900(x69021)),f160(x69021,x69022,x69023)),f317(f317(f3(a899),f317(f179(f900(x69021)),x69023)),f72(a899)))+~P1(f317(f317(f319(x69021),x69022),f317(f162(x69021),x69023)))
% 184.03/183.90 [6941]P1(f317(f238(x69411,x69412),x69413))+P1(f317(f317(f319(x69411),f558(x69413,x69412,x69411)),x69413))
% 184.03/183.90 [6950]~P1(f317(f28(f905(x69502,x69501)),f317(f276(x69501,x69502),x69503)))+P1(f317(f28(f905(x69501,x69502)),x69503))
% 184.03/183.90 [7010]~P1(f317(f317(f319(x70101),x70102),f317(f162(x70101),f104(x70101,x70103))))+P1(f317(f317(f319(x70101),x70102),f317(f162(x70101),x70103)))
% 184.03/183.90 [7045]E(f317(f126(x70451,x70452),x70453),x70453)+P1(f317(f317(f319(x70451),f667(x70453,x70452,x70451)),f317(f162(x70451),x70453)))
% 184.03/183.90 [7061]E(f317(f126(x70611,x70612),x70613),f103(x70611))+P1(f317(f317(f319(x70611),f655(x70613,x70612,x70611)),f317(f162(x70611),x70613)))
% 184.03/183.90 [7086]P30(x70861,x70862,x70863)+P1(f317(f317(f319(x70861),f740(x70863,x70862,x70861)),f317(f162(x70861),x70863)))
% 184.03/183.90 [7087]P30(x70871,x70872,x70873)+P1(f317(f317(f319(x70871),f748(x70873,x70872,x70871)),f317(f162(x70871),x70873)))
% 184.03/183.90 [7088]P30(x70881,x70882,x70883)+P1(f317(f317(f319(x70881),f747(x70882,x70883,x70881)),f317(f162(x70881),x70883)))
% 184.03/183.90 [7091]E(f167(x70911,x70912,x70913),x70913)+P1(f317(f317(f319(x70911),f699(x70913,x70912,x70911)),f317(f162(x70911),x70913)))
% 184.03/183.90 [7167]P1(f317(f150(x71671,x71672),x71673))+P1(f317(f317(f319(x71671),f668(x71673,x71672,x71671)),f317(f162(x71671),x71673)))
% 184.03/183.90 [7176]~P32(x71761,x71763,x71762)+P1(f317(f317(f319(x71761),f733(x71762,x71763,x71761)),f317(f162(x71761),x71762)))
% 184.03/183.90 [7177]~P34(x71771,x71773,x71772)+P1(f317(f317(f319(x71771),f746(x71772,x71773,x71771)),f317(f162(x71771),x71772)))
% 184.03/183.90 [7178]~P34(x71781,x71783,x71782)+P1(f317(f317(f319(x71781),f749(x71782,x71783,x71781)),f317(f162(x71781),x71782)))
% 184.03/183.90 [7179]~P32(x71791,x71792,x71793)+P1(f317(f317(f319(x71791),f776(x71792,x71793,x71791)),f317(f162(x71791),x71793)))
% 184.03/183.90 [7180]~P32(x71801,x71803,x71802)+P1(f317(f317(f319(x71801),f777(x71802,x71803,x71801)),f317(f162(x71801),x71802)))
% 184.03/183.90 [7214]P1(f317(f317(f319(x72141),x72142),f435(x72143,x72142,x72141)))+~P1(f317(f317(f319(x72141),x72142),f31(f906(x72141,a895),x72143)))
% 184.03/183.90 [7215]~P70(x72151)+E(f317(f317(f74(x72151),f317(f317(f8(a899,x72151),x72152),f317(f272(a899),x72153))),f317(x72152,x72153)),f317(f317(f8(a899,x72151),x72152),f317(f272(a899),f317(a102,x72153))))
% 184.03/183.90 [7227]P29(x72271,x72272,x72273)+P1(f317(f317(f319(a899),f824(x72273,x72272,x72271)),f317(f292(a899,x72272),x72273)))
% 184.03/183.90 [7307]~P32(x73072,x73071,x73073)+P1(f317(x73071,f317(f317(f154(x73072),x73073),f737(x73073,x73071,x73072))))
% 184.03/183.90 [7318]~P1(f317(f317(f319(x73181),x73182),f436(x73182,x73183,x73181)))+P1(f317(f317(f319(x73181),x73182),f32(f906(x73181,a895),x73183)))
% 184.03/183.90 [7351]~P70(x73511)+E(f317(f317(f74(x73511),f317(f317(f8(a899,x73511),x73512),f317(f291(a899),x73513))),f317(x73512,f317(a102,x73513))),f317(f317(f8(a899,x73511),x73512),f317(f291(a899),f317(a102,x73513))))
% 184.03/183.90 [7492]P1(f317(f317(f319(f900(x74921)),x74922),f151(x74921,x74923)))+P1(f317(f317(f319(x74921),f644(x74923,x74922,x74921)),f317(f162(x74921),x74922)))
% 184.03/183.90 [7508]~P1(f317(f317(f319(f900(x75081)),x75082),f151(x75081,f306(x75081,x75083))))+P1(f317(f317(f319(f900(x75081)),x75082),f306(f900(x75081),f147(x75081,x75083))))
% 184.03/183.90 [7532]~P1(f317(f317(f319(f900(x75321)),x75322),f306(f900(x75321),f147(x75321,x75323))))+P1(f317(f317(f319(f900(x75321)),x75322),f151(x75321,f306(x75321,x75323))))
% 184.03/183.90 [7564]E(f317(f317(f317(f173(f900(x75641),f900(x75641)),x75642),f157(x75641)),x75643),x75643)+~P1(f317(f317(f224(a899),f317(f179(f900(x75641)),x75643)),f72(a899)))
% 184.03/183.90 [7597]E(f317(f317(f124(x75971),f738(x75972,x75973,x75971)),f317(f317(f141(x75971),x75973),f739(x75972,x75973,x75971))),x75972)+~P1(f317(f317(f319(x75971),x75973),f317(f162(x75971),x75972)))
% 184.03/183.90 [7598]E(f317(f317(f124(x75981),f742(x75982,x75983,x75981)),f317(f317(f141(x75981),x75983),f743(x75982,x75983,x75981))),x75982)+~P1(f317(f317(f319(x75981),x75983),f317(f162(x75981),x75982)))
% 184.03/183.90 [7599]E(f317(f317(f124(x75991),f744(x75992,x75993,x75991)),f317(f317(f141(x75991),x75993),f745(x75992,x75993,x75991))),x75992)+~P1(f317(f317(f319(x75991),x75993),f317(f162(x75991),x75992)))
% 184.03/183.90 [7620]~P24(x76201,x76202,x76203,f232(f906(x76201,a895)))+P24(f900(x76201),f900(x76202),f317(f144(x76201,x76202),x76203),f232(f906(f900(x76201),a895)))
% 184.03/183.90 [7773]E(x77731,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x77732)),x77733)),f317(f246(a899,a899),x77732)))+~P1(f317(f43(x77731,x77733),x77732))
% 184.03/183.90 [7781]P24(x77811,x77812,x77813,f232(f906(x77811,a895)))+~P24(f900(x77811),f900(x77812),f317(f144(x77811,x77812),x77813),f232(f906(f900(x77811),a895)))
% 184.03/183.90 [7826]P1(f317(f317(f319(f906(x78261,a895)),f436(x78262,x78263,x78261)),x78263))+P1(f317(f317(f319(x78261),x78262),f32(f906(x78261,a895),x78263)))
% 184.03/183.90 [7917]P1(f317(f317(f319(f900(x79171)),x79172),f151(x79171,x79173)))+~P1(f317(f317(f319(x79171),f644(x79173,x79172,x79171)),x79173))
% 184.03/183.90 [8018]P30(x80181,x80182,x80183)+~P1(f317(x80182,f317(f317(f154(x80181),x80183),f741(x80183,x80182,x80181))))
% 184.03/183.90 [8043]E(x80431,x80432)+~E(f317(f317(f9(x80433,f906(x80433,a895),a895),f319(x80433)),x80431),f317(f317(f9(x80433,f906(x80433,a895),a895),f319(x80433)),x80432))
% 184.03/183.90 [8051]~P1(f317(f317(f319(f905(x80511,x80511)),x80513),f253(x80511,x80512)))+P1(f317(f317(f319(x80511),f502(x80512,x80513,x80511)),x80512))
% 184.03/183.90 [8053]~P1(f317(f317(f319(x80531),x80533),f31(f906(x80531,a895),x80532)))+P1(f317(f317(f319(f906(x80531,a895)),f435(x80532,x80533,x80531)),x80532))
% 184.03/183.90 [8172]P24(x81721,x81722,f85(x81722,x81721,f232(f906(x81722,a895)),x81723),f232(f906(x81721,a895)))+~E(f317(f300(x81722,x81721,x81723),f232(f906(x81722,a895))),f232(f906(x81721,a895)))
% 184.03/183.90 [8226]~P1(f317(f317(f319(x82261),x82262),f317(f162(x82261),f742(x82263,x82262,x82261))))+~P1(f317(f317(f319(x82261),x82262),f317(f162(x82261),x82263)))
% 184.03/183.90 [8227]~P1(f317(f317(f319(x82271),x82272),f317(f162(x82271),f745(x82273,x82272,x82271))))+~P1(f317(f317(f319(x82271),x82272),f317(f162(x82271),x82273)))
% 184.03/183.90 [8256]P29(f317(f67(a895,a895,a899,a312),x82561),x82562,x82563)+P32(a899,x82561,f129(a899,f317(f292(a899,x82562),x82563)))
% 184.03/183.90 [8417]E(x84171,f103(x84172))+P1(f317(f317(f319(x84172),f317(f241(x84172,f905(a89,a89)),f317(f265(x84172,x84171),x84173))),f317(f162(x84172),x84171)))
% 184.03/183.90 [8517]~P69(x85171)+E(f317(f132(x85171,x85171,f317(f9(x85171,x85171,x85171),f74(x85171)),x85172),f317(f158(x85171),x85173)),f317(f132(x85171,x85171,f74(x85171),x85172),x85173))
% 184.03/183.90 [8709]~P24(x87092,x87091,x87093,f232(f906(x87092,a895)))+E(f317(f300(x87091,x87092,f85(x87092,x87091,f232(f906(x87092,a895)),x87093)),f232(f906(x87091,a895))),f232(f906(x87092,a895)))
% 184.03/183.90 [8779]~P29(f317(f67(a895,a895,a899,a312),x87791),x87792,x87793)+~P32(a899,x87791,f129(a899,f317(f292(a899,x87792),x87793)))
% 184.03/183.90 [9026]~P107(x90261)+E(f317(f162(x90261),f139(x90261,x90261,f7(x90261),x90262,x90263)),f317(f317(f299(x90261),x90262),f317(f162(x90261),x90263)))
% 184.03/183.90 [9035]~E(f317(x90353,f317(f85(x90351,x90352,f232(f906(x90351,a895)),x90353),f792(x90353,x90352,x90351))),f792(x90353,x90352,x90351))+E(f317(f300(x90351,x90352,x90353),f232(f906(x90351,a895))),f232(f906(x90352,a895)))
% 184.03/183.90 [9037]P1(f317(f317(f225(a899),f2(a899)),f608(x90371,x90372,x90373)))+~P1(f317(f317(f319(f905(x90373,x90373)),x90372),f317(f317(f279(x90373,x90373,x90373),x90371),f297(x90373,x90371))))
% 184.03/183.90 [9313]~P57(x93131,x93132)+~P1(f317(f317(f319(f905(x93131,x93131)),f317(f317(f242(x93131,x93131),x93133),x93133)),f317(f317(f279(x93131,x93131,x93131),x93132),f297(x93131,x93132))))
% 184.03/183.90 [9452]~E(f317(f317(f92(f906(f905(x94521,x94521),a895)),f317(f276(x94521,x94521),x94522)),f297(x94521,x94522)),f178(f906(f905(x94521,x94521),a895)))+~P1(f317(f317(f319(f905(x94521,x94521)),f317(f317(f242(x94521,x94521),x94523),x94523)),f317(f317(f279(x94521,x94521,x94521),x94522),f297(x94521,x94522))))
% 184.03/183.90 [9643]~P1(f317(f28(x96431),x96432))+P1(f317(f317(f224(a899),f317(f29(x96431),f317(f317(f3(f906(x96431,a895)),x96432),f317(f317(f299(x96431),x96433),f178(f906(x96431,a895)))))),f317(f29(x96431),x96432)))
% 184.03/183.90 [5128]~E(x51283,f103(x51281))+E(f134(x51281,f317(f317(f141(x51281),x51282),x51283)),x51282)
% 184.03/183.90 [5137]~E(x51373,f103(x51371))+E(f104(x51371,f317(f317(f141(x51371),x51372),x51373)),f103(x51371))
% 184.03/183.90 [5167]E(x51671,f103(x51672))+E(f134(x51672,f317(f317(f141(x51672),x51673),x51671)),f134(x51672,x51671))
% 184.03/183.90 [5169]E(x51691,f103(x51692))+E(f134(x51692,f317(f317(f124(x51692),x51693),x51691)),f134(x51692,x51691))
% 184.03/183.90 [5175]~E(x51753,f103(x51751))+E(f104(x51751,f317(f317(f124(x51751),x51752),x51753)),f104(x51751,x51752))
% 184.03/183.90 [5177]~E(x51773,f103(x51771))+E(f134(x51771,f317(f317(f124(x51771),x51772),x51773)),f134(x51771,x51772))
% 184.03/183.90 [5210]E(x52101,f103(x52102))+E(f317(f131(x52102),f317(f317(f124(x52102),x52101),x52103)),f317(f131(x52102),x52101))
% 184.03/183.90 [5238]~E(x52382,f103(x52381))+E(f317(f131(x52381),f317(f317(f124(x52381),x52382),x52383)),f317(f131(x52381),x52383))
% 184.03/183.90 [5290]~P107(x52901)+E(f317(f317(f228(x52901),x52902),f317(f317(f223(x52901),x52902),x52903)),x52902)
% 184.03/183.90 [5291]~P98(x52911)+E(f317(f317(f91(x52911),x52912),f317(f317(f92(x52911),x52912),x52913)),x52912)
% 184.03/183.90 [5292]~P107(x52921)+E(f317(f317(f223(x52921),x52922),f317(f317(f228(x52921),x52922),x52923)),x52922)
% 184.03/183.90 [5293]~P98(x52931)+E(f317(f317(f92(x52931),x52932),f317(f317(f91(x52931),x52932),x52933)),x52932)
% 184.03/183.90 [5312]~P3(x53121)+E(f40(x53121,f317(f317(f75(x53121),x53122),x53123),x53123),f2(x53121))
% 184.03/183.90 [5313]~P3(x53131)+E(f40(x53131,f317(f317(f75(x53131),x53132),x53133),x53132),f2(x53131))
% 184.03/183.90 [5381]~P67(x53811)+E(f317(f73(x53811),f317(f317(f3(x53811),x53812),x53813)),f317(f317(f3(x53811),x53813),x53812))
% 184.03/183.90 [5444]E(x54441,f103(x54442))+E(f104(x54442,f317(f317(f141(x54442),x54443),x54441)),f317(f317(f141(x54442),x54443),f104(x54442,x54441)))
% 184.03/183.90 [5445]E(x54451,f103(x54452))+E(f104(x54452,f317(f317(f124(x54452),x54453),x54451)),f317(f317(f124(x54452),x54453),f104(x54452,x54451)))
% 184.03/183.90 [5448]~P5(x54481)+E(f31(x54481,f317(f317(f299(x54481),x54482),x54483)),f317(f317(f91(x54481),x54482),f31(x54481,x54483)))
% 184.03/183.90 [5449]~P5(x54491)+E(f32(x54491,f317(f317(f299(x54491),x54492),x54493)),f317(f317(f92(x54491),x54492),f32(x54491,x54493)))
% 184.03/183.90 [5495]~P96(x54951)+E(f317(f317(f75(x54951),x54952),f317(f317(f75(x54951),x54952),x54953)),f317(f317(f75(x54951),x54952),x54953))
% 184.03/183.90 [5497]~P107(x54971)+E(f317(f317(f228(x54971),x54972),f317(f317(f228(x54971),x54972),x54973)),f317(f317(f228(x54971),x54972),x54973))
% 184.03/183.90 [5499]~P97(x54991)+E(f317(f317(f91(x54991),x54992),f317(f317(f91(x54991),x54992),x54993)),f317(f317(f91(x54991),x54992),x54993))
% 184.03/183.90 [5500]~P98(x55001)+E(f317(f317(f91(x55001),x55002),f317(f317(f91(x55001),x55002),x55003)),f317(f317(f91(x55001),x55002),x55003))
% 184.03/183.90 [5502]~P107(x55021)+E(f317(f317(f223(x55021),x55022),f317(f317(f223(x55021),x55022),x55023)),f317(f317(f223(x55021),x55022),x55023))
% 184.03/183.90 [5503]~P98(x55031)+E(f317(f317(f92(x55031),x55032),f317(f317(f92(x55031),x55032),x55033)),f317(f317(f92(x55031),x55032),x55033))
% 184.03/183.90 [5505]~P103(x55051)+E(f317(f317(f92(x55051),x55052),f317(f317(f92(x55051),x55052),x55053)),f317(f317(f92(x55051),x55052),x55053))
% 184.03/183.90 [5512]~P3(x55121)+E(f40(x55121,f317(f317(f74(x55121),x55122),x55123),x55123),f40(x55121,x55122,x55123))
% 184.03/183.90 [5513]~P3(x55131)+E(f40(x55131,f317(f317(f74(x55131),x55132),x55133),x55132),f40(x55131,x55133,x55132))
% 184.03/183.90 [5522]~P110(x55221)+E(f317(f317(f75(x55221),x55222),f317(f73(x55221),x55223)),f317(f73(x55221),f317(f317(f75(x55221),x55222),x55223)))
% 184.03/183.90 [5523]~P61(x55231)+E(f317(f317(f281(x55231),x55232),f317(f73(x55231),x55233)),f317(f73(x55231),f317(f317(f281(x55231),x55232),x55233)))
% 184.03/183.90 [5524]~P81(x55241)+E(f317(f317(f74(x55241),x55242),f317(f155(x55241),x55243)),f317(f155(x55241),f317(f317(f141(x55241),x55242),x55243)))
% 184.03/183.90 [5552]~P110(x55521)+E(f317(f317(f75(x55521),f317(f73(x55521),x55522)),x55523),f317(f317(f75(x55521),x55522),f317(f73(x55521),x55523)))
% 184.03/183.90 [5558]~P8(x55581,x55582,x55583)+E(f31(f906(x55581,a895),f317(f317(f55(x55581),x55582),x55583)),x55582)
% 184.03/183.90 [5624]~P115(x56241)+E(f317(f317(f75(x56241),x56242),f317(f317(f234(x56241),x56242),x56243)),f317(f317(f234(x56241),x56242),f317(a102,x56243)))
% 184.03/183.90 [5625]~P120(x56251)+E(f317(f317(f75(x56251),x56252),f317(f317(f234(x56251),x56252),x56253)),f317(f317(f234(x56251),x56252),f317(a102,x56253)))
% 184.03/183.90 [5635]~P75(x56351)+E(f317(f317(f74(x56351),f317(f73(x56351),x56352)),f317(f317(f74(x56351),x56352),x56353)),x56353)
% 184.03/183.90 [5658]~P145(x56581)+E(f317(f317(f234(x56581),f317(f90(x56581),x56582)),x56583),f317(f90(x56581),f317(f317(f234(a899),x56582),x56583)))
% 184.03/183.90 [5659]~P141(x56591)+E(f317(f317(f234(x56591),f317(f93(x56591),x56592)),x56593),f317(f93(x56591),f317(f317(f234(a1),x56592),x56593)))
% 184.03/183.90 [5665]~P85(x56651)+E(f317(f70(x56651),f317(f317(f3(x56651),x56652),x56653)),f317(f70(x56651),f317(f317(f3(x56651),x56653),x56652)))
% 184.03/183.90 [5667]~P113(x56671)+E(f317(f317(f75(x56671),f76(x56671,x56672)),f76(x56671,x56673)),f76(x56671,f317(f317(f75(x56671),x56672),x56673)))
% 184.03/183.90 [5671]E(x56711,f103(x56712))+E(f317(f317(f124(x56712),f317(f161(x56712),x56711)),x56713),f317(f161(x56712),f317(f317(f124(x56712),x56711),x56713)))
% 184.03/183.90 [5677]~E(x56772,f317(a102,f317(f317(f74(a899),x56771),x56773)))+P1(f317(f317(f225(a899),x56771),x56772))
% 184.03/183.90 [5678]~P113(x56781)+E(f317(f317(f234(x56781),f317(f70(x56781),x56782)),x56783),f317(f70(x56781),f317(f317(f234(x56781),x56782),x56783)))
% 184.03/183.90 [5679]~P110(x56791)+E(f317(f317(f75(x56791),f317(f73(x56791),x56792)),x56793),f317(f73(x56791),f317(f317(f75(x56791),x56792),x56793)))
% 184.03/183.90 [5680]~P124(x56801)+E(f317(f317(f281(x56801),f317(f73(x56801),x56802)),x56803),f317(f73(x56801),f317(f317(f281(x56801),x56802),x56803)))
% 184.03/183.90 [5778]E(f378(x57781,x57782,x57783),f404(x57781,x57782,x57783))+E(f317(f317(f92(f906(x57783,a895)),x57782),x57781),f178(f906(x57783,a895)))
% 184.03/183.90 [5793]~P70(x57932)+E(f317(f317(f8(x57931,x57932),f317(f18(x57932,x57931),f2(x57932))),x57933),f2(x57932))
% 184.03/183.90 [5794]~P74(x57942)+E(f317(f317(f11(x57941,x57942),f317(f18(x57942,x57941),f72(x57942))),x57943),f72(x57942))
% 184.03/183.90 [5796]~P93(x57961)+E(f317(f317(f3(x57961),f317(f94(x57961),x57962)),f317(f94(x57961),x57963)),f317(f94(x57961),f317(f317(f3(a1),x57962),x57963)))
% 184.03/183.90 [5799]~P145(x57991)+E(f317(f317(f75(x57991),f317(f90(x57991),x57992)),f317(f90(x57991),x57993)),f317(f90(x57991),f317(f317(f75(a899),x57992),x57993)))
% 184.03/183.90 [5800]~P145(x58001)+E(f317(f317(f74(x58001),f317(f90(x58001),x58002)),f317(f90(x58001),x58003)),f317(f90(x58001),f317(f317(f74(a899),x58002),x58003)))
% 184.03/183.90 [5801]~P141(x58011)+E(f317(f317(f3(x58011),f317(f93(x58011),x58012)),f317(f93(x58011),x58013)),f317(f93(x58011),f317(f317(f3(a1),x58012),x58013)))
% 184.03/183.90 [5802]~P141(x58021)+E(f317(f317(f75(x58021),f317(f93(x58021),x58022)),f317(f93(x58021),x58023)),f317(f93(x58021),f317(f317(f75(a1),x58022),x58023)))
% 184.03/183.90 [5803]~P141(x58031)+E(f317(f317(f74(x58031),f317(f93(x58031),x58032)),f317(f93(x58031),x58033)),f317(f93(x58031),f317(f317(f74(a1),x58032),x58033)))
% 184.03/183.90 [5804]~P93(x58041)+E(f317(f317(f75(x58041),f317(f94(x58041),x58042)),f317(f94(x58041),x58043)),f317(f94(x58041),f317(f317(f75(a1),x58042),x58043)))
% 184.03/183.90 [5805]~P93(x58051)+E(f317(f317(f74(x58051),f317(f94(x58051),x58052)),f317(f94(x58051),x58053)),f317(f94(x58051),f317(f317(f74(a1),x58052),x58053)))
% 184.03/183.90 [5853]~E(x58533,x58532)+P1(f317(f317(f224(f906(x58531,a895)),x58532),x58533))
% 184.03/183.90 [5859]~E(x58592,x58593)+P1(f317(f317(f224(f906(x58591,a895)),x58592),x58593))
% 184.03/183.90 [5864]~P113(x58641)+E(f317(f317(f75(x58641),f317(f70(x58641),x58642)),f317(f70(x58641),x58643)),f317(f70(x58641),f317(f317(f75(x58641),x58642),x58643)))
% 184.03/183.90 [5865]~P63(x58651)+E(f317(f317(f281(x58651),f317(f70(x58651),x58652)),f317(f70(x58651),x58653)),f317(f70(x58651),f317(f317(f281(x58651),x58652),x58653)))
% 184.03/183.90 [5866]~P75(x58661)+E(f317(f317(f74(x58661),f317(f73(x58661),x58662)),f317(f73(x58661),x58663)),f317(f73(x58661),f317(f317(f74(x58661),x58663),x58662)))
% 184.03/183.90 [5867]~P67(x58671)+E(f317(f317(f74(x58671),f317(f73(x58671),x58672)),f317(f73(x58671),x58673)),f317(f73(x58671),f317(f317(f74(x58671),x58672),x58673)))
% 184.03/183.90 [5868]~P76(x58681)+E(f317(f317(f223(x58681),f317(f73(x58681),x58682)),f317(f73(x58681),x58683)),f317(f73(x58681),f317(f317(f228(x58681),x58682),x58683)))
% 184.03/183.90 [5869]~P95(x58691)+E(f317(f317(f92(x58691),f317(f73(x58691),x58692)),f317(f73(x58691),x58693)),f317(f73(x58691),f317(f317(f91(x58691),x58692),x58693)))
% 184.03/183.90 [5870]~P76(x58701)+E(f317(f317(f228(x58701),f317(f73(x58701),x58702)),f317(f73(x58701),x58703)),f317(f73(x58701),f317(f317(f223(x58701),x58702),x58703)))
% 184.03/183.90 [5871]~P95(x58711)+E(f317(f317(f91(x58711),f317(f73(x58711),x58712)),f317(f73(x58711),x58713)),f317(f73(x58711),f317(f317(f92(x58711),x58712),x58713)))
% 184.03/183.90 [5872]~P81(x58721)+E(f317(f317(f74(x58721),f317(f155(x58721),x58722)),f317(f155(x58721),x58723)),f317(f155(x58721),f317(f317(f124(x58721),x58722),x58723)))
% 184.03/183.90 [5873]E(x58731,f178(f906(x58732,a895)))+~E(f317(f317(f91(f906(x58732,a895)),x58733),x58731),f178(f906(x58732,a895)))
% 184.03/183.90 [5874]E(x58741,f178(f906(x58742,a895)))+~E(f317(f317(f91(f906(x58742,a895)),x58741),x58743),f178(f906(x58742,a895)))
% 184.03/183.90 [5875]~P148(x58751,x58752,x58753)+P1(f317(x58751,f317(f317(f30(a1),x58752),x58753)))
% 184.03/183.90 [5940]~P1(f317(f28(x59401),x59403))+P1(f317(f28(x59401),f317(f317(f299(x59401),x59402),x59403)))
% 184.03/183.90 [5941]~P1(f317(f127(x59411),x59413))+P1(f317(f127(x59411),f317(f317(f165(x59411),x59412),x59413)))
% 184.03/183.90 [5942]~P1(f317(f127(x59421),x59423))+P1(f317(f127(x59421),f317(f317(f128(x59421),x59422),x59423)))
% 184.03/183.90 [5974]~P97(x59741)+P1(f317(f317(f224(x59741),x59742),f317(f317(f91(x59741),x59743),x59742)))
% 184.03/183.90 [5975]~P98(x59751)+P1(f317(f317(f224(x59751),x59752),f317(f317(f91(x59751),x59753),x59752)))
% 184.03/183.90 [5976]~P97(x59761)+P1(f317(f317(f224(x59761),x59762),f317(f317(f91(x59761),x59762),x59763)))
% 184.03/183.90 [5977]~P98(x59771)+P1(f317(f317(f224(x59771),x59772),f317(f317(f91(x59771),x59772),x59773)))
% 184.03/183.90 [5978]~P107(x59781)+P1(f317(f317(f224(x59781),x59782),f317(f317(f223(x59781),x59783),x59782)))
% 184.03/183.90 [5979]~P107(x59791)+P1(f317(f317(f224(x59791),x59792),f317(f317(f223(x59791),x59792),x59793)))
% 184.03/183.90 [5980]~P120(x59801)+P1(f317(f317(f277(x59801),x59802),f317(f317(f75(x59801),x59803),x59802)))
% 184.03/183.90 [5981]~P120(x59811)+P1(f317(f317(f277(x59811),x59812),f317(f317(f75(x59811),x59812),x59813)))
% 184.03/183.90 [5995]~E(x59951,f2(a899))+E(f317(f317(f30(a899),f317(f317(f75(a899),x59951),x59952)),f317(f317(f75(a899),x59951),x59953)),f2(a899))
% 184.03/183.90 [6077]~P93(x60771)+E(f317(f317(f3(x60771),f317(f94(x60771),x60772)),f317(f94(x60771),x60773)),f317(f94(x60771),f317(f317(f74(a1),x60772),f317(f73(a1),x60773))))
% 184.03/183.90 [6137]E(x61371,f2(a899))+E(f317(f317(f30(a899),f317(f317(f75(a899),x61371),x61372)),f317(f317(f75(a899),x61371),x61373)),f317(f317(f30(a899),x61372),x61373))
% 184.03/183.90 [6167]E(f142(x61671,f317(f317(f141(x61671),x61672),x61673)),f317(f317(f141(x61671),x61672),f142(x61671,x61673)))+P1(f317(f317(f319(x61671),x61672),f317(f162(x61671),x61673)))
% 184.03/183.90 [6203]P148(x62031,x62032,x62033)+~P1(f317(x62031,f317(f317(f30(a1),x62032),x62033)))
% 184.03/183.90 [6279]E(x62791,f103(x62792))+E(f317(f317(f141(x62792),f317(f131(x62792),x62791)),f317(f317(f165(x62792),x62793),f317(f161(x62792),x62791))),f317(f317(f165(x62792),f317(a102,x62793)),x62791))
% 184.03/183.90 [6287]E(f317(f317(f3(f906(x62871,a895)),x62872),x62873),x62872)+~E(f317(f317(f92(f906(x62871,a895)),x62872),x62873),f178(f906(x62871,a895)))
% 184.03/183.90 [6301]E(f142(x63011,f317(f317(f141(x63011),x63012),x63013)),f142(x63011,x63013))+~P1(f317(f317(f319(x63011),x63012),f317(f162(x63011),x63013)))
% 184.03/183.90 [6332]~P1(f317(f317(f224(a899),x63321),x63323))+P1(f317(f317(f224(a899),x63321),f317(f317(f74(a899),x63322),x63323)))
% 184.03/183.90 [6334]~P1(f317(f317(f224(a899),x63341),x63342))+P1(f317(f317(f224(a899),x63341),f317(f317(f74(a899),x63342),x63343)))
% 184.03/183.90 [6336]~P1(f317(f317(f225(a899),x63361),x63363))+P1(f317(f317(f225(a899),x63361),f317(f317(f74(a899),x63362),x63363)))
% 184.03/183.90 [6338]~P1(f317(f317(f225(a899),x63381),x63382))+P1(f317(f317(f225(a899),x63381),f317(f317(f74(a899),x63382),x63383)))
% 184.03/183.90 [6378]P1(f317(f28(x63781),x63782))+~P1(f317(f28(x63781),f317(f317(f299(x63781),x63783),x63782)))
% 184.03/183.90 [6379]P1(f317(f127(x63791),x63792))+~P1(f317(f127(x63791),f317(f317(f141(x63791),x63793),x63792)))
% 184.03/183.90 [6380]P1(f317(f127(x63801),x63802))+~P1(f317(f127(x63801),f317(f317(f124(x63801),x63803),x63802)))
% 184.03/183.90 [6381]P1(f317(f127(x63811),x63812))+~P1(f317(f127(x63811),f317(f317(f124(x63811),x63812),x63813)))
% 184.03/183.90 [6435]~P120(x64351)+E(f317(f317(f74(x64351),x64352),f317(f317(f75(x64351),x64353),x64352)),f317(f317(f75(x64351),f317(f317(f74(x64351),x64353),f72(x64351))),x64352))
% 184.03/183.90 [6482]~E(x64821,x64822)+~P1(f317(f317(f225(f906(x64823,a895)),x64821),x64822))
% 184.03/183.90 [6528]P1(f317(f317(f319(x65281),x65282),x65283))+P1(f317(f317(f319(x65281),x65282),f317(f73(f906(x65281,a895)),x65283)))
% 184.03/183.90 [6534]E(f134(x65341,f317(f317(f128(x65341),x65342),x65343)),f134(x65341,x65343))+~P1(f317(f317(f225(a899),x65342),f317(f179(f900(x65341)),x65343)))
% 184.03/183.90 [6535]E(f317(f317(f165(x65351),x65352),f104(x65351,x65353)),f317(f317(f165(x65351),x65352),x65353))+~P1(f317(f317(f225(a899),x65352),f317(f179(f900(x65351)),x65353)))
% 184.03/183.90 [6595]E(f317(f317(f317(f173(f900(x65951),f900(x65951)),x65952),f157(x65951)),x65953),x65953)+~E(f40(a899,x65952,f317(f179(f900(x65951)),x65953)),f2(a899))
% 184.03/183.90 [6602]~P8(x66021,x66023,x66022)+E(f317(f317(f279(x66021,x66021,x66021),f317(f276(x66021,x66021),x66022)),x66022),x66022)
% 184.03/183.90 [6645]~E(f317(f317(f91(f906(x66451,a895)),x66452),x66453),x66453)+P1(f317(f317(f224(f906(x66451,a895)),x66452),x66453))
% 184.03/183.90 [6650]~P54(x66501,x66501,x66503)+P54(x66501,x66501,f317(f317(f173(f905(x66501,x66501),a895),x66502),x66503))
% 184.03/183.90 [6653]~P1(f317(f317(f319(x66531),x66533),f317(f162(x66531),x66532)))+P1(f317(f317(f225(a899),f2(a899)),f317(f179(f900(x66531)),x66532)))
% 184.03/183.90 [6681]~P85(x66811)+E(f317(f70(x66811),f317(f317(f74(x66811),f317(f70(x66811),x66812)),f317(f70(x66811),x66813))),f317(f317(f74(x66811),f317(f70(x66811),x66812)),f317(f70(x66811),x66813)))
% 184.03/183.90 [6692]E(f317(f317(f30(a899),f317(f317(f75(a899),x66921),x66922)),f317(f317(f75(a899),x66921),x66923)),f317(f317(f30(a899),x66922),x66923))+~P1(f317(f317(f225(a899),f2(a899)),x66921))
% 184.03/183.90 [6836]~P1(f317(f28(x68361),x68363))+E(f317(f317(f58(x68361,f906(x68361,a895),f299(x68361)),x68362),x68363),f317(f317(f91(f906(x68361,a895)),x68363),x68362))
% 184.03/183.90 [6895]E(f317(f317(f91(f906(x68951,a895)),x68952),x68953),x68952)+~P1(f317(f317(f224(f906(x68951,a895)),x68953),x68952))
% 184.03/183.90 [6897]E(f317(f317(f91(f906(x68971,a895)),x68972),x68973),x68973)+~P1(f317(f317(f224(f906(x68971,a895)),x68972),x68973))
% 184.03/183.90 [6898]E(f317(f317(f92(f906(x68981,a895)),x68982),x68983),x68983)+~P1(f317(f317(f224(f906(x68981,a895)),x68983),x68982))
% 184.03/183.90 [6899]E(f317(f317(f92(f906(x68991,a895)),x68992),x68993),x68992)+~P1(f317(f317(f224(f906(x68991,a895)),x68992),x68993))
% 184.03/183.90 [6948]~P1(f317(f127(x69481),x69482))+E(f317(f317(f3(f906(x69481,a895)),f317(f162(x69481),x69482)),f317(f317(f299(x69481),x69483),f178(f906(x69481,a895)))),f317(f162(x69481),f160(x69481,x69483,x69482)))
% 184.03/183.90 [7005]P36(x70051,x70052)+~P36(x70051,f317(f317(f173(f905(x70051,x70051),a895),x70053),x70052))
% 184.03/183.90 [7022]~E(x70221,f2(a899))+P1(f317(f317(f277(a899),f317(f317(f75(a899),x70221),x70222)),f317(f317(f75(a899),x70221),x70223)))
% 184.03/183.90 [7073]P1(f317(f44(x70731,x70732),f317(a46,x70733)))+~P1(f317(f44(f317(f73(a1),x70731),f317(f73(a1),x70732)),x70733))
% 184.03/183.90 [7078]E(f317(f317(f3(f906(x70781,a895)),f317(f317(f299(x70781),x70782),x70783)),f317(f317(f299(x70781),x70782),f178(f906(x70781,a895)))),x70783)+P1(f317(f317(f319(x70781),x70782),x70783))
% 184.03/183.90 [7100]E(f317(f317(f92(f906(x71001,a895)),f317(f162(x71001),x71002)),f317(f162(x71001),x71003)),f178(f906(x71001,a895)))+~P1(f317(f127(x71001),f317(f317(f124(x71001),x71002),x71003)))
% 184.03/183.90 [7115]~P1(f317(f317(f319(x71151),x71152),f317(f162(x71151),x71153)))+~P1(f317(f127(x71151),f317(f317(f141(x71151),x71152),x71153)))
% 184.03/183.90 [7186]P30(x71861,x71862,x71863)+P1(f317(f317(f225(a899),f741(x71863,x71862,x71861)),f317(f179(f900(x71861)),x71863)))
% 184.03/183.90 [7196]E(f317(f317(f92(f906(x71961,a895)),x71962),x71963),f178(f906(x71961,a895)))+P1(f317(f317(f319(x71961),f378(x71963,x71962,x71961)),x71962))
% 184.03/183.90 [7197]E(f317(f317(f92(f906(x71971,a895)),x71972),x71973),f178(f906(x71971,a895)))+P1(f317(f317(f319(x71971),f404(x71973,x71972,x71971)),x71973))
% 184.03/183.90 [7200]E(f104(x72001,f317(f317(f165(x72001),x72002),x72003)),f317(f317(f165(x72001),f317(f317(f3(a899),x72002),f72(a899))),x72003))+~P1(f317(f317(f224(a899),x72002),f317(f179(f900(x72001)),x72003)))
% 184.03/183.90 [7260]~P32(x72603,x72602,x72601)+P1(f317(f317(f225(a899),f737(x72601,x72602,x72603)),f317(f179(f900(x72603)),x72601)))
% 184.03/183.90 [7280]P1(f317(f317(f225(a899),f2(a899)),x72801))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x72802),x72801)),f317(f317(f75(a899),x72803),x72801)))
% 184.03/183.90 [7281]P1(f317(f317(f225(a899),f2(a899)),x72811))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x72811),x72812)),f317(f317(f75(a899),x72811),x72813)))
% 184.03/183.90 [7284]~P1(f317(f317(f319(x72841),x72842),x72843))+~P1(f317(f317(f319(x72841),x72842),f317(f73(f906(x72841,a895)),x72843)))
% 184.03/183.90 [7290]~P1(f317(f317(f225(f906(x72901,a895)),x72902),x72903))+P1(f317(f317(f224(f906(x72901,a895)),x72902),x72903))
% 184.03/183.90 [7396]~P1(f317(f317(f224(a899),x73963),x73962))+P1(f317(f317(f224(a899),f317(f317(f3(a899),x73961),x73962)),f317(f317(f3(a899),x73961),x73963)))
% 184.03/183.90 [7397]~P1(f317(f317(f224(a899),x73971),x73973))+P1(f317(f317(f224(a899),f317(f317(f3(a899),x73971),x73972)),f317(f317(f3(a899),x73973),x73972)))
% 184.03/183.90 [7399]~P1(f317(f317(f224(a899),x73992),x73993))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x73991),x73992)),f317(f317(f75(a899),x73991),x73993)))
% 184.03/183.90 [7401]~P1(f317(f317(f224(a899),x74011),x74013))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x74011),x74012)),f317(f317(f75(a899),x74013),x74012)))
% 184.03/183.90 [7402]~P1(f317(f317(f224(a899),x74022),x74023))+P1(f317(f317(f224(a899),f317(f317(f74(a899),x74021),x74022)),f317(f317(f74(a899),x74021),x74023)))
% 184.03/183.90 [7403]~P1(f317(f317(f224(a899),x74031),x74033))+P1(f317(f317(f224(a899),f317(f317(f74(a899),x74031),x74032)),f317(f317(f74(a899),x74033),x74032)))
% 184.03/183.90 [7404]~P1(f317(f317(f224(a899),x74041),x74043))+P1(f317(f317(f224(a899),f317(f317(f30(a899),x74041),x74042)),f317(f317(f30(a899),x74043),x74042)))
% 184.03/183.90 [7405]~P1(f317(f317(f224(a1),x74052),x74053))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74051),x74052)),f317(f317(f74(a1),x74051),x74053)))
% 184.03/183.90 [7408]~P1(f317(f317(f225(a899),x74082),x74083))+P1(f317(f317(f225(a899),f317(f317(f74(a899),x74081),x74082)),f317(f317(f74(a899),x74081),x74083)))
% 184.03/183.90 [7409]~P1(f317(f317(f225(a899),x74091),x74093))+P1(f317(f317(f225(a899),f317(f317(f74(a899),x74091),x74092)),f317(f317(f74(a899),x74093),x74092)))
% 184.03/183.90 [7410]~P1(f317(f317(f225(a1),x74101),x74103))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74101),x74102)),f317(f317(f74(a1),x74103),x74102)))
% 184.03/183.90 [7413]~P1(f317(f317(f277(a899),x74132),x74133))+P1(f317(f317(f277(a899),f317(f317(f75(a899),x74131),x74132)),f317(f317(f75(a899),x74131),x74133)))
% 184.03/183.90 [7491]E(x74911,x74912)+~P1(f317(f317(f319(x74913),x74911),f317(f317(f299(x74913),x74912),f178(f906(x74913,a895)))))
% 184.03/183.90 [7493]~E(f317(f317(f92(f906(x74931,a895)),x74932),x74933),f178(f906(x74931,a895)))+P1(f317(f317(f224(f906(x74931,a895)),x74932),f317(f73(f906(x74931,a895)),x74933)))
% 184.03/183.90 [7498]P1(f317(f317(f319(f906(x74981,a895)),x74982),f317(f298(x74981),x74983)))+~P1(f317(f317(f224(f906(x74981,a895)),x74982),x74983))
% 184.03/183.90 [7549]E(f317(f317(f141(x75491),f317(f317(f154(x75491),x75492),x75493)),f317(f317(f128(x75491),f317(a102,x75493)),x75492)),f317(f317(f128(x75491),x75493),x75492))+~P1(f317(f317(f225(a899),x75493),f317(f179(f900(x75491)),x75492)))
% 184.03/183.90 [7574]P1(f317(f317(f319(f905(x75741,x75741)),x75742),f297(x75741,x75743)))+~P1(f317(f317(f319(f905(x75741,x75741)),x75742),x75743))
% 184.03/183.90 [7583]~P1(f317(f317(f319(f906(x75831,a895)),x75832),f317(f298(x75831),x75833)))+P1(f317(f317(f224(f906(x75831,a895)),x75832),x75833))
% 184.03/183.90 [7628]P1(f317(f317(f224(f906(x76281,a895)),x76282),f31(f906(x76281,a895),x76283)))+~P1(f317(f317(f319(f906(x76281,a895)),x76282),x76283))
% 184.03/183.90 [7653]~P141(x76531)+E(f317(f317(f75(x76531),f317(f317(f234(x76531),f317(f73(x76531),f72(x76531))),x76532)),f317(f317(f234(x76531),x76533),x76532)),f317(f317(f234(x76531),f317(f73(x76531),x76533)),x76532))
% 184.03/183.90 [7675]E(f317(f317(f154(x76751),x76752),f317(f317(f3(a899),f317(f179(f900(x76751)),x76752)),f317(a102,x76753))),f317(f317(f154(x76751),f317(f158(x76751),x76752)),x76753))+~P1(f317(f317(f225(a899),x76753),f317(f179(f900(x76751)),x76752)))
% 184.03/183.90 [7692]~E(f317(f317(f92(f906(x76921,a895)),f410(x76923,x76922,x76921)),x76923),f178(f906(x76921,a895)))+E(f317(f317(f92(f906(x76921,a895)),f31(f906(x76921,a895),x76922)),x76923),f178(f906(x76921,a895)))
% 184.03/183.90 [7756]~P1(f317(f317(f319(x77563),x77562),f317(f162(x77563),x77561)))+P1(f317(f317(f225(a899),f643(x77561,x77562,x77563)),f317(f179(f900(x77563)),x77561)))
% 184.03/183.90 [7764]P1(f317(f317(f319(x77641),f317(f317(f154(x77641),x77642),x77643)),f317(f162(x77641),x77642)))+~P1(f317(f317(f225(a899),x77643),f317(f179(f900(x77641)),x77642)))
% 184.03/183.90 [7862]~P1(f317(x78622,f701(x78623,x78622,x78621)))+E(f317(f317(f128(x78621),f317(f179(f900(x78621)),f167(x78621,x78622,x78623))),x78623),f103(x78621))
% 184.03/183.90 [7875]P1(f317(f317(f224(f906(f900(x78751),a895)),f151(x78751,x78752)),f151(x78751,x78753)))+~P1(f317(f317(f224(f906(x78751,a895)),x78752),x78753))
% 184.03/183.90 [7876]P1(f317(f317(f224(f906(f900(x78761),a895)),f150(x78761,x78762)),f150(x78761,x78763)))+~P1(f317(f317(f224(f906(x78761,a895)),x78762),x78763))
% 184.03/183.90 [7903]E(f317(f317(f92(f906(x79031,a895)),f31(f906(x79031,a895),x79032)),x79033),f178(f906(x79031,a895)))+P1(f317(f317(f319(f906(x79031,a895)),f410(x79033,x79032,x79031)),x79032))
% 184.03/183.90 [7905]~P1(f317(f317(f319(f906(x79051,a895)),x79053),x79052))+P1(f317(f317(f224(f906(x79051,a895)),f32(f906(x79051,a895),x79052)),x79053))
% 184.03/183.90 [7907]E(f317(f317(f92(f906(x79071,a895)),x79072),x79073),f178(f906(x79071,a895)))+~P1(f317(f317(f224(f906(x79071,a895)),x79072),f317(f73(f906(x79071,a895)),x79073)))
% 184.03/183.90 [7956]E(f317(f317(f3(a899),f317(f317(f74(a899),f317(f155(a899),x79561)),x79562)),f317(f317(f154(a899),x79561),x79563)),f317(f155(a899),f317(f317(f149(a899,x79561),x79563),x79562)))+~P1(f317(f317(f225(a899),x79563),f317(f179(f900(a899)),x79561)))
% 184.03/183.90 [8007]P1(f317(f317(f224(a899),x80071),x80072))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x80073),x80071)),f317(f317(f74(a899),x80073),x80072)))
% 184.03/183.90 [8010]P1(f317(f317(f225(a899),x80101),x80102))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),x80103),x80101)),f317(f317(f74(a899),x80103),x80102)))
% 184.03/183.90 [8011]P1(f317(f317(f225(a899),x80111),x80112))+~P1(f317(f317(f225(a899),f317(f317(f75(a899),x80113),x80111)),f317(f317(f75(a899),x80113),x80112)))
% 184.03/183.90 [8012]P1(f317(f317(f225(a899),x80121),x80122))+~P1(f317(f317(f225(a899),f317(f317(f75(a899),x80121),x80123)),f317(f317(f75(a899),x80122),x80123)))
% 184.03/183.90 [8041]P1(f317(f317(f225(a899),f2(a899)),x80411))+~P1(f317(f317(f225(a899),f317(f317(f75(a899),x80412),x80411)),f317(f317(f75(a899),x80413),x80411)))
% 184.03/183.90 [8042]P1(f317(f317(f225(a899),f2(a899)),x80421))+~P1(f317(f317(f225(a899),f317(f317(f75(a899),x80421),x80422)),f317(f317(f75(a899),x80421),x80423)))
% 184.03/183.90 [8115]E(f237(x81151,x81152,x81153),x81152)+~P1(f317(f317(f224(f906(x81151,a895)),x81153),f317(f317(f299(x81151),x81152),f178(f906(x81151,a895)))))
% 184.03/183.90 [8165]~P1(f317(f127(x81651),x81653))+E(f317(f126(x81651,f317(f317(f10(a895,a895,x81651),a312),f317(a314,x81652))),x81653),f160(x81651,x81652,x81653))
% 184.03/183.90 [8190]E(f317(f317(f128(x81901),f317(f179(f900(x81901)),f167(x81901,x81902,x81903))),x81903),f103(x81901))+P1(f317(f317(f319(x81901),f701(x81903,x81902,x81901)),f317(f162(x81901),x81903)))
% 184.03/183.90 [8194]E(f317(f317(f124(x81941),f317(f317(f165(x81941),x81942),x81943)),f317(f317(f141(x81941),f317(f317(f154(x81941),x81943),x81942)),f103(x81941))),f317(f317(f165(x81941),f317(a102,x81942)),x81943))+~P1(f317(f317(f225(a899),x81942),f317(f179(f900(x81941)),x81943)))
% 184.03/183.90 [8261]E(f317(f126(x82611,f317(f317(f10(a895,a895,x82611),a312),f317(a314,x82612))),x82613),x82613)+P1(f317(f317(f319(x82611),x82612),f317(f162(x82611),x82613)))
% 184.03/183.90 [8267]P1(f317(f317(f224(f906(f906(x82671,a895),a895)),f238(x82671,x82672)),f238(x82671,x82673)))+~P1(f317(f317(f224(f906(x82671,a895)),x82672),x82673))
% 184.03/183.90 [8306]~P1(f317(f127(x83061),x83063))+P1(f317(f127(x83061),f317(f317(f317(f173(f900(x83061),f900(x83061)),x83062),f157(x83061)),x83063)))
% 184.03/183.90 [8312]~P1(f317(f317(f225(a899),x83122),x83123))+P1(f317(f317(f225(a899),f317(f317(f75(a899),f317(a102,x83121)),x83122)),f317(f317(f75(a899),f317(a102,x83121)),x83123)))
% 184.03/183.90 [8332]P1(f317(f317(f224(f906(f906(x83321,a895),a895)),f317(f298(x83321),x83322)),f317(f298(x83321),x83323)))+~P1(f317(f317(f224(f906(x83321,a895)),x83322),x83323))
% 184.03/183.90 [8402]~E(f317(f300(x84021,x84022,x84023),f232(f906(x84021,a895))),f232(f906(x84022,a895)))+E(f317(f67(x84021,x84022,x84022,x84023),f85(x84021,x84022,f232(f906(x84021,a895)),x84023)),f25(x84022))
% 184.03/183.90 [8496]~P1(f317(f317(f224(f906(x84961,a895)),x84963),x84962))+P1(f317(f317(f224(f906(x84961,a895)),f317(f73(f906(x84961,a895)),x84962)),f317(f73(f906(x84961,a895)),x84963)))
% 184.03/183.90 [8531]E(f317(f300(a899,a899,f317(f317(f9(a899,a899,a899),f3(a899)),x85311)),f317(f292(a899,x85312),x85313)),f317(f292(a899,f317(f317(f3(a899),x85312),x85311)),f317(f317(f3(a899),x85313),x85311)))+~P1(f317(f317(f225(a899),x85311),x85313))
% 184.03/183.90 [8557]~P81(x85571)+E(f317(f317(f74(x85571),x85572),f317(f132(x85571,x85571,f74(x85571),f2(x85571)),x85573)),f317(f132(x85571,x85571,f74(x85571),x85572),x85573))
% 184.03/183.90 [8633]~P85(x86331)+P1(f317(f317(f224(x86331),f317(f70(x86331),f317(f317(f3(x86331),x86332),x86333))),f317(f317(f74(x86331),f317(f70(x86331),x86332)),f317(f70(x86331),x86333))))
% 184.03/183.90 [8634]~P85(x86341)+P1(f317(f317(f224(x86341),f317(f70(x86341),f317(f317(f74(x86341),x86342),x86343))),f317(f317(f74(x86341),f317(f70(x86341),x86342)),f317(f70(x86341),x86343))))
% 184.03/183.90 [8645]E(f317(f317(f74(a1),f317(f317(f75(a1),x86451),f40(a1,f317(f317(f30(a1),x86452),x86451),x86453))),f40(a1,x86452,x86451)),f40(a1,x86452,f317(f317(f75(a1),x86451),x86453)))+~P1(f317(f317(f225(a1),f2(a1)),x86453))
% 184.03/183.90 [8651]E(f317(f317(f124(x86511),f317(f317(f165(x86511),x86512),x86513)),f317(f317(f141(x86511),f317(f131(x86511),f317(f317(f128(x86511),x86512),x86513))),f103(x86511))),f317(f317(f165(x86511),f317(a102,x86512)),x86513))+~P1(f317(f317(f225(a899),x86512),f317(f179(f900(x86511)),x86513)))
% 184.03/183.90 [8671]E(f317(f258(x86711,f317(f317(f144(x86711,f905(a89,x86711)),f317(f242(a89,x86711),f72(a89))),x86712)),f317(a5,x86713)),f317(f317(f154(x86711),x86712),x86713))+~P1(f317(f317(f225(a899),x86713),f317(f179(f900(x86711)),x86712)))
% 184.03/183.90 [8739]P1(f317(f317(f319(f905(x87391,x87391)),x87392),f317(f317(f279(x87391,x87391,x87391),x87393),f297(x87391,x87393))))+~P1(f317(f317(f319(f905(x87391,x87391)),x87392),x87393))
% 184.03/183.90 [8750]E(f317(f300(x87501,x87502,x87503),f232(f906(x87501,a895))),f232(f906(x87502,a895)))+~E(f317(f67(x87501,x87502,x87502,x87503),f85(x87501,x87502,f232(f906(x87501,a895)),x87503)),f25(x87502))
% 184.03/183.90 [8759]P1(f317(f317(f224(a899),x87591),x87592))+~P1(f317(f317(f224(a899),f317(f317(f75(a899),f317(a102,x87593)),x87591)),f317(f317(f75(a899),f317(a102,x87593)),x87592)))
% 184.03/183.90 [8775]P1(f317(f317(f224(f906(x87751,a895)),x87752),x87753))+~P1(f317(f317(f224(f906(x87751,a895)),f317(f73(f906(x87751,a895)),x87753)),f317(f73(f906(x87751,a895)),x87752)))
% 184.03/183.90 [8798]P1(f317(f127(x87981),x87982))+~P1(f317(f127(x87981),f317(f317(f317(f173(f900(x87981),f900(x87981)),x87983),f157(x87981)),x87982)))
% 184.03/183.90 [8871]E(f317(f275(x88711,x88711,f297(x88711,x88712)),x88713),x88713)+~P1(f317(f317(f224(f906(x88711,a895)),f317(f275(x88711,x88711,x88712),x88713)),x88713))
% 184.03/183.90 [8919]~P107(x89191)+P13(x89191,f317(f126(x89191,f317(f317(f9(x89191,x89191,a895),a314),f317(x89192,x89193))),x89193))
% 184.03/183.90 [8926]~P1(f317(f317(f224(a899),x89261),x89262))+P1(f317(f317(f224(a899),x89261),f317(f132(a899,a899,f74(a899),x89262),x89263)))
% 184.03/183.90 [9012]~P1(f317(f317(f319(f905(x90121,x90121)),x90122),f297(x90121,x90123)))+P1(f317(f317(f319(f905(x90121,x90121)),x90122),f317(f317(f173(f905(x90121,x90121),a895),f604(x90123,x90122,x90121)),x90123)))
% 184.03/183.90 [9093]~P81(x90931)+E(f317(f317(f74(x90931),x90932),f317(f132(x90931,x90931,f317(f9(x90931,x90931,x90931),f74(x90931)),f2(x90931)),f317(f158(x90931),x90933))),f317(f132(x90931,x90931,f74(x90931),x90932),x90933))
% 184.03/183.90 [9210]~P25(x92102,x92101,x92103,f232(f906(x92102,a895)),f232(f906(x92101,a895)))+E(f85(x92101,x92102,f232(f906(x92101,a895)),f85(x92102,x92101,f232(f906(x92102,a895)),x92103)),x92103)
% 184.03/183.90 [9365]P54(x93651,x93652,x93653)+P1(f317(f317(f319(f905(x93651,x93652)),f317(f317(f242(x93651,x93652),f605(x93653,x93652,x93651)),f603(x93653,x93652,x93651))),x93653))
% 184.03/183.90 [9366]P54(x93661,x93662,x93663)+P1(f317(f317(f319(f905(x93661,x93662)),f317(f317(f242(x93661,x93662),f605(x93663,x93662,x93661)),f602(x93663,x93662,x93661))),x93663))
% 184.03/183.90 [9437]~P1(f317(f317(f319(f905(x94371,x94371)),x94372),f317(f317(f279(x94371,x94371,x94371),x94373),f297(x94371,x94373))))+P1(f317(f317(f319(f905(x94371,x94371)),x94372),f317(f317(f173(f905(x94371,x94371),a895),f608(x94373,x94372,x94371)),x94373)))
% 184.03/183.90 [9438]~P1(f317(x94381,f317(f317(f154(x94382),x94383),f317(f179(f900(x94382)),f167(x94382,x94381,x94383)))))+~P1(f317(f317(f225(a899),f317(f179(f900(x94382)),f167(x94382,x94381,x94383))),f317(f179(f900(x94382)),x94383)))
% 184.03/183.90 [9529]~P1(f317(f317(f224(f906(x95291,a895)),x95292),x95293))+P1(f317(f317(f224(f906(x95291,a895)),f317(f317(f9(x95291,f906(x95291,a895),a895),f319(x95291)),x95292)),f317(f317(f9(x95291,f906(x95291,a895),a895),f319(x95291)),x95293)))
% 184.03/183.90 [9591]~P1(f317(f317(f319(f905(f906(x95911,a895),f906(x95911,a895))),f317(f317(f242(f906(x95911,a895),f906(x95911,a895)),x95912),x95913)),f304(x95911)))+P1(f317(f317(f225(f906(x95911,a895)),x95912),x95913))
% 184.03/183.90 [9619]P55(x96191,x96192,x96193)+~P1(f317(f317(f319(f905(x96191,x96191)),f317(f317(f242(x96191,x96191),f584(x96193,x96192,x96191)),f583(x96193,x96192,x96191))),x96193))
% 184.03/183.90 [9620]P55(x96201,x96202,x96203)+~P1(f317(f317(f319(f905(x96201,x96201)),f317(f317(f242(x96201,x96201),f583(x96203,x96202,x96201)),f584(x96203,x96202,x96201))),x96203))
% 184.03/183.90 [9658]~P1(f317(f317(f319(f905(f900(x96581),f900(x96581))),f317(f317(f242(f900(x96581),f900(x96581)),x96582),x96582)),f137(x96581,x96583)))+P1(f317(f317(f319(f905(x96581,x96581)),f317(f317(f242(x96581,x96581),f639(x96582,x96583,x96581)),f639(x96582,x96583,x96581))),x96583))
% 184.03/183.90 [9708]P1(f317(f317(f224(f906(x97081,a895)),x97082),x97083))+~P1(f317(f317(f224(f906(x97081,a895)),f317(f317(f9(x97081,f906(x97081,a895),a895),f319(x97081)),x97082)),f317(f317(f9(x97081,f906(x97081,a895),a895),f319(x97081)),x97083)))
% 184.03/183.90 [9789]E(f317(f317(f3(a899),f317(f317(f8(a899,a899),x97891),f317(f272(a899),x97892))),f317(f317(f8(a899,a899),x97893),f317(f272(a899),x97892))),f317(f317(f8(a899,a899),f317(f317(f20(a899,a899,a899),f317(f317(f10(a899,f906(a899,a899),a899),f3(a899)),x97891)),x97893)),f317(f272(a899),x97892)))+~P1(f317(f317(f224(a899),f317(x97893,f462(x97892,x97891,x97893))),f317(x97891,f462(x97892,x97891,x97893))))
% 184.03/183.90 [5714]~P75(x57141)+E(f317(f317(f3(x57141),f317(f317(f74(x57141),x57142),x57143)),x57143),x57142)
% 184.03/183.90 [5715]~P75(x57151)+E(f317(f317(f74(x57151),f317(f317(f3(x57151),x57152),x57153)),x57153),x57152)
% 184.03/183.90 [5949]~P75(x59491)+E(f317(f317(f74(x59491),x59492),f317(f317(f74(x59491),f317(f73(x59491),x59492)),x59493)),x59493)
% 184.03/183.90 [6038]~P80(x60381)+E(f317(f317(f75(x60381),f317(f317(f234(x60381),x60382),x60383)),x60382),f317(f317(f234(x60381),x60382),f317(a102,x60383)))
% 184.03/183.90 [6039]~P120(x60391)+E(f317(f317(f75(x60391),f317(f317(f234(x60391),x60392),x60393)),x60392),f317(f317(f234(x60391),x60392),f317(a102,x60393)))
% 184.03/183.90 [6263]~P113(x62631)+E(f317(f70(x62631),f317(f317(f234(x62631),f317(f73(x62631),x62632)),x62633)),f317(f70(x62631),f317(f317(f234(x62631),x62632),x62633)))
% 184.03/183.90 [6307]~P80(x63071)+E(f317(f317(f75(x63071),f317(f317(f234(x63071),x63072),x63073)),x63072),f317(f317(f75(x63071),x63072),f317(f317(f234(x63071),x63072),x63073)))
% 184.03/183.90 [6369]E(f317(f317(f3(a89),f317(f317(f74(a89),x63691),x63692)),x63693),f264(x63691,x63692,x63693))+~P1(f317(f317(f225(a89),x63692),x63693))
% 184.03/183.90 [6394]~E(f317(f317(f128(x63941),x63943),x63942),f103(x63941))+P1(f317(f317(f224(a899),f317(f179(f900(x63941)),x63942)),x63943))
% 184.03/183.90 [6533]E(f317(f317(f75(a899),f317(f94(a899),x65331)),f317(f317(f75(a899),f317(f94(a899),x65332)),x65333)),f2(a899))+~P1(f317(f317(f225(a1),x65331),a77))
% 184.03/183.90 [6549]~P61(x65491)+E(f317(f317(f234(x65491),f317(f317(f281(x65491),f72(x65491)),x65492)),x65493),f317(f317(f281(x65491),f72(x65491)),f317(f317(f234(x65491),x65492),x65493)))
% 184.03/183.90 [6631]E(f317(f317(f3(a899),f317(f317(f74(a899),x66311),x66312)),x66313),f317(f317(f3(a899),x66311),f317(f317(f3(a899),x66313),x66312)))+~P1(f317(f317(f224(a899),x66312),x66313))
% 184.03/183.90 [6633]E(f317(f317(f3(a899),f317(f317(f74(a899),x66331),x66332)),x66333),f317(f317(f74(a899),x66331),f317(f317(f3(a899),x66332),x66333)))+~P1(f317(f317(f224(a899),x66333),x66332))
% 184.03/183.90 [6672]~P107(x66721)+P1(f317(f317(f224(x66721),f317(f317(f228(x66721),x66722),x66723)),x66723))
% 184.03/183.90 [6673]~P107(x66731)+P1(f317(f317(f224(x66731),f317(f317(f228(x66731),x66732),x66733)),x66732))
% 184.03/183.90 [6674]~P98(x66741)+P1(f317(f317(f224(x66741),f317(f317(f92(x66741),x66742),x66743)),x66743))
% 184.03/183.90 [6675]~P103(x66751)+P1(f317(f317(f224(x66751),f317(f317(f92(x66751),x66752),x66753)),x66753))
% 184.03/183.90 [6676]~P98(x66761)+P1(f317(f317(f224(x66761),f317(f317(f92(x66761),x66762),x66763)),x66762))
% 184.03/183.90 [6677]~P103(x66771)+P1(f317(f317(f224(x66771),f317(f317(f92(x66771),x66772),x66773)),x66772))
% 184.03/183.90 [6691]E(f317(f317(f30(a1),f317(f317(f30(a1),x66911),x66912)),x66913),f317(f317(f30(a1),x66911),f317(f317(f75(a1),x66912),x66913)))+~P1(f317(f317(f225(a1),f2(a1)),x66913))
% 184.03/183.90 [6745]~P120(x67451)+E(f317(f317(f74(x67451),f317(f317(f75(x67451),x67452),x67453)),x67453),f317(f317(f75(x67451),f317(f317(f74(x67451),x67452),f72(x67451))),x67453))
% 184.03/183.90 [6746]~P93(x67461)+E(f317(f317(f75(x67461),f317(f73(x67461),f317(f94(x67461),x67462))),x67463),f317(f317(f75(x67461),f317(f94(x67461),f317(f73(a1),x67462))),x67463))
% 184.03/183.90 [6820]~P81(x68201)+E(f317(f155(x68201),f317(f317(f144(x68202,x68201),f317(f18(x68201,x68202),f2(x68201))),x68203)),f2(x68201))
% 184.03/183.90 [6838]E(f317(f317(f74(a899),f317(f94(a899),x68381)),f317(f317(f74(a899),f317(f94(a899),x68382)),x68383)),f317(f317(f74(a899),f317(f94(a899),x68382)),x68383))+~P1(f317(a183,f317(f94(a1),x68381)))
% 184.03/183.90 [6853]~P5(x68531)+E(f31(x68531,f317(f317(f299(x68531),x68532),f317(f317(f299(x68531),x68533),f178(f906(x68531,a895))))),f317(f317(f91(x68531),x68532),x68533))
% 184.03/183.90 [6854]~P5(x68541)+E(f32(x68541,f317(f317(f299(x68541),x68542),f317(f317(f299(x68541),x68543),f178(f906(x68541,a895))))),f317(f317(f92(x68541),x68542),x68543))
% 184.03/183.90 [6878]E(f317(f317(f165(x68781),x68782),x68783),x68783)+~P1(f317(f317(f224(a899),f317(f179(f900(x68781)),x68783)),x68782))
% 184.03/183.90 [6890]E(f317(f317(f128(x68901),x68902),x68903),f103(x68901))+~P1(f317(f317(f224(a899),f317(f179(f900(x68901)),x68903)),x68902))
% 184.03/183.90 [6901]E(f317(f317(f74(a899),f317(f317(f3(a899),x69011),x69012)),x69013),f317(f317(f3(a899),f317(f317(f74(a899),x69011),x69013)),x69012))+~P1(f317(f317(f224(a899),x69012),x69011))
% 184.03/183.90 [6915]~P1(f317(f317(f225(a899),x69151),x69153))+P1(f317(f317(f225(a899),f317(f317(f3(a899),x69151),x69152)),x69153))
% 184.03/183.90 [6942]~P107(x69421)+E(f160(x69421,x69422,f317(f317(f138(x69421,x69421,f7(x69421)),x69422),x69423)),x69423)
% 184.03/183.90 [7035]E(f317(f317(f3(a899),f317(f317(f74(a899),x70351),x70352)),f317(a102,x70353)),f317(f317(f3(a899),x70351),f317(a102,f317(f317(f3(a899),x70353),x70352))))+~P1(f317(f317(f224(a899),x70352),x70353))
% 184.03/183.90 [7036]~P113(x70361)+P1(f317(f317(f224(x70361),f2(x70361)),f317(f317(f234(x70361),f317(f70(x70361),x70362)),x70363)))
% 184.03/183.90 [7127]~P1(f317(f28(x71271),x71272))+P1(f317(f28(x71271),f317(f317(f3(f906(x71271,a895)),x71272),x71273)))
% 184.03/183.90 [7128]~P1(f317(f28(x71281),x71283))+P1(f317(f28(x71281),f317(f317(f92(f906(x71281,a895)),x71282),x71283)))
% 184.03/183.90 [7129]~P1(f317(f28(x71291),x71292))+P1(f317(f28(x71291),f317(f317(f92(f906(x71291,a895)),x71292),x71293)))
% 184.03/183.90 [7270]~P36(x72701,x72703)+P36(x72701,f317(f317(f92(f906(f905(x72701,x72701),a895)),x72702),x72703))
% 184.03/183.90 [7271]~P36(x72711,x72712)+P36(x72711,f317(f317(f92(f906(f905(x72711,x72711),a895)),x72712),x72713))
% 184.03/183.90 [7392]~P107(x73921)+E(f16(x73921,f317(f162(x73921),f317(f317(f141(x73921),x73922),x73923))),f317(f132(x73921,x73921,f228(x73921),x73922),x73923))
% 184.03/183.90 [7393]~P107(x73931)+E(f17(x73931,f317(f162(x73931),f317(f317(f141(x73931),x73932),x73933))),f317(f132(x73931,x73931,f223(x73931),x73932),x73933))
% 184.03/183.90 [7394]~P98(x73941)+E(f12(x73941,f317(f162(x73941),f317(f317(f141(x73941),x73942),x73943))),f317(f132(x73941,x73941,f91(x73941),x73942),x73943))
% 184.03/183.90 [7395]~P98(x73951)+E(f13(x73951,f317(f162(x73951),f317(f317(f141(x73951),x73952),x73953))),f317(f132(x73951,x73951,f92(x73951),x73952),x73953))
% 184.03/183.90 [7459]~P1(f317(f28(x74591),x74592))+P1(f317(f317(f224(a899),f317(f29(x74591),x74592)),f317(f29(x74591),f317(f317(f299(x74591),x74593),x74592))))
% 184.03/183.90 [7466]E(f317(f317(f91(f906(a899,a895)),f317(f292(a899,x74661),x74662)),f317(f292(a899,x74662),f317(f317(f74(a899),x74662),x74663))),f317(f292(a899,x74661),f317(f317(f74(a899),x74662),x74663)))+~P1(f317(f317(f224(a899),x74661),x74662))
% 184.03/183.90 [7475]P1(f317(f317(f224(a899),x74751),x74752))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x74753),x74751)),x74752))
% 184.03/183.90 [7476]P1(f317(f317(f224(a899),x74761),x74762))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x74761),x74763)),x74762))
% 184.03/183.90 [7477]P1(f317(f317(f225(a899),x74771),x74772))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),x74771),x74773)),x74772))
% 184.03/183.90 [7517]~P107(x75171)+E(f14(x75171,f228(x75171),f317(f162(x75171),f317(f317(f141(x75171),x75172),x75173))),f317(f132(x75171,x75171,f228(x75171),x75172),x75173))
% 184.03/183.90 [7518]~P107(x75181)+E(f15(x75181,f223(x75181),f317(f162(x75181),f317(f317(f141(x75181),x75182),x75183))),f317(f132(x75181,x75181,f223(x75181),x75182),x75183))
% 184.03/183.90 [7522]~E(x75222,f178(f906(f905(x75221,x75221),a895)))+P1(f317(f317(f224(f906(f905(x75221,x75221),a895)),x75222),x75223))
% 184.03/183.90 [7621]E(f317(f317(f91(f906(x76211,a895)),x76212),f317(f317(f3(f906(x76211,a895)),x76213),x76212)),x76213)+~P1(f317(f317(f224(f906(x76211,a895)),x76212),x76213))
% 184.03/183.90 [7624]~P1(f317(f317(f224(a899),x76241),f317(f317(f74(a899),x76243),x76242)))+P1(f317(f317(f224(a899),f317(f317(f3(a899),x76241),x76242)),x76243))
% 184.03/183.90 [7625]~P1(f317(f317(f225(a899),x76251),f317(f317(f3(a899),x76253),x76252)))+P1(f317(f317(f225(a899),f317(f317(f74(a899),x76251),x76252)),x76253))
% 184.03/183.90 [7682]E(x76821,f103(x76822))+E(f317(f131(x76822),f317(f317(f317(f173(f900(x76822),f900(x76822)),x76823),f157(x76822)),x76821)),f317(f317(f154(x76822),x76821),f40(a899,x76823,f317(f179(f900(x76822)),x76821))))
% 184.03/183.90 [7691]E(f317(f317(f299(x76911),x76912),f317(f317(f3(f906(x76911,a895)),x76913),f317(f317(f299(x76911),x76912),f178(f906(x76911,a895))))),x76913)+~P1(f317(f317(f319(x76911),x76912),x76913))
% 184.03/183.90 [7853]P1(f317(f317(f224(a899),x78531),f317(f317(f74(a899),x78532),x78533)))+~P1(f317(f317(f224(a899),f317(f317(f3(a899),x78531),x78533)),x78532))
% 184.03/183.90 [7854]P1(f317(f317(f225(a899),x78541),f317(f317(f3(a899),x78542),x78543)))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),x78541),x78543)),x78542))
% 184.03/183.90 [7880]P1(f317(f28(x78801),x78802))+~P1(f317(f28(x78801),f317(f317(f91(f906(x78801,a895)),x78803),x78802)))
% 184.03/183.90 [7881]P1(f317(f28(x78811),x78812))+~P1(f317(f28(x78811),f317(f317(f91(f906(x78811,a895)),x78812),x78813)))
% 184.03/183.90 [7955]~P45(x79551,x79553)+P1(f317(f317(f319(f905(x79551,x79551)),f317(f317(f242(x79551,x79551),x79552),x79552)),x79553))
% 184.03/183.90 [8088]E(f317(f317(f154(a899),f129(a899,f317(f292(a899,x80881),x80882))),x80883),f317(f317(f74(a899),x80881),x80883))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),x80881),x80883)),x80882))
% 184.03/183.90 [8154]E(f317(f317(f165(a899),x81541),f129(a899,f317(f292(a899,x81542),x81543))),f129(a899,f317(f292(a899,x81542),f317(f317(f74(a899),x81542),x81541))))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x81542),x81541)),x81543))
% 184.03/183.90 [8211]~P93(x82111)+E(f317(f317(f234(x82111),x82112),f317(f94(a899),f317(f317(f74(a1),x82113),x82113))),f317(f317(f80(x82111,x82111),f317(f317(f234(x82111),x82112),f317(f94(a899),x82113))),f317(f317(f20(x82111,x82111,x82111),f75(x82111)),f7(x82111))))
% 184.03/183.90 [8477]E(f317(f317(f124(x84771),f317(f317(f165(x84771),x84772),x84773)),f317(f317(f141(x84771),f317(f317(f154(x84771),x84773),x84772)),f317(f317(f128(x84771),f317(a102,x84772)),x84773))),x84773)+~P1(f317(f317(f225(a899),x84772),f317(f179(f900(x84771)),x84773)))
% 184.03/183.90 [8484]P1(f317(f317(f224(f906(x84841,a895)),f305(x84841,x84842)),f305(x84841,x84843)))+~P1(f317(f317(f224(f906(x84841,f906(x84841,a895))),x84843),x84842))
% 184.03/183.90 [8485]~P55(x84851,x84852,x84853)+P55(x84851,x84852,f317(f317(f3(f906(f905(x84851,x84851),a895)),x84853),f297(x84851,f178(f906(f905(x84851,x84851),a895)))))
% 184.03/183.90 [8504]P1(f317(f317(f224(f906(x85041,a895)),f306(x85041,x85042)),f306(x85041,x85043)))+~P1(f317(f317(f224(f906(f905(x85041,x85041),a895)),x85043),x85042))
% 184.03/183.90 [8510]~P1(f317(f317(f225(f906(x85101,a895)),x85103),x85102))+P1(f317(f317(f319(x85101),f509(x85102,x85103,x85101)),f317(f317(f3(f906(x85101,a895)),x85102),x85103)))
% 184.03/183.90 [8512]~P127(x85121)+P1(f317(f317(f224(x85121),f2(x85121)),f317(f317(f74(x85121),f317(f317(f75(x85121),x85122),x85122)),f317(f317(f75(x85121),x85123),x85123))))
% 184.03/183.90 [8546]P1(f317(f317(f224(f906(x85461,a895)),f317(f271(x85461),x85462)),f317(f271(x85461),x85463)))+~P1(f317(f317(f224(f906(f905(x85461,x85461),a895)),x85462),x85463))
% 184.03/183.90 [8575]~P53(x85751,x85752)+~P1(f317(f317(f319(f905(x85751,x85751)),f317(f317(f242(x85751,x85751),x85753),x85753)),x85752))
% 184.03/183.90 [8577]~P36(x85771,x85772)+~P1(f317(f317(f319(f905(x85771,x85771)),f317(f317(f242(x85771,x85771),x85773),x85773)),x85772))
% 184.03/183.90 [8635]P1(f317(f317(f224(f906(x86351,a895)),f31(f906(x86351,a895),x86352)),f31(f906(x86351,a895),x86353)))+~P1(f317(f317(f224(f906(f906(x86351,a895),a895)),x86352),x86353))
% 184.03/183.90 [8636]P1(f317(f317(f224(f906(x86361,a895)),f32(f906(x86361,a895),x86362)),f32(f906(x86361,a895),x86363)))+~P1(f317(f317(f224(f906(f906(x86361,a895),a895)),x86363),x86362))
% 184.03/183.90 [8690]~P8(x86901,x86903,x86902)+P1(f317(f317(f224(f906(f905(x86901,x86901),a895)),x86902),f317(f317(f244(x86901,x86901),x86903),f317(f18(f906(x86901,a895),x86901),x86903))))
% 184.03/183.90 [8691]~P52(x86911,x86913,x86912)+P1(f317(f317(f224(f906(f905(x86911,x86911),a895)),x86912),f317(f317(f244(x86911,x86911),x86913),f317(f18(f906(x86911,a895),x86911),x86913))))
% 184.03/183.90 [8740]~P85(x87401)+P1(f317(f317(f224(x87401),f317(f317(f3(x87401),f317(f70(x87401),x87402)),f317(f70(x87401),x87403))),f317(f70(x87401),f317(f317(f3(x87401),x87403),x87402))))
% 184.03/183.90 [8741]~P85(x87411)+P1(f317(f317(f224(x87411),f317(f317(f3(x87411),f317(f70(x87411),x87412)),f317(f70(x87411),x87413))),f317(f70(x87411),f317(f317(f3(x87411),x87412),x87413))))
% 184.03/183.90 [8773]P1(f317(f317(f224(f906(f905(x87731,x87731),a895)),f297(x87731,x87732)),f297(x87731,x87733)))+~P1(f317(f317(f224(f906(f905(x87731,x87731),a895)),x87732),x87733))
% 184.03/183.90 [8884]~P24(x88842,x88841,x88843,f232(f906(x88842,a895)))+E(f317(f67(x88841,x88842,x88842,f85(x88842,x88841,f232(f906(x88842,a895)),x88843)),x88843),f25(x88842))
% 184.03/183.90 [8944]P55(x89441,x89442,x89443)+~P55(x89441,x89442,f317(f317(f3(f906(f905(x89441,x89441),a895)),x89443),f297(x89441,f178(f906(f905(x89441,x89441),a895)))))
% 184.03/183.90 [8964]P1(f317(f317(f224(f906(f905(f900(x89641),f900(x89641)),a895)),f147(x89641,x89642)),f147(x89641,x89643)))+~P1(f317(f317(f224(f906(f905(x89641,x89641),a895)),x89642),x89643))
% 184.03/183.90 [8965]P1(f317(f317(f224(f906(f905(f900(x89651),f900(x89651)),a895)),f148(x89651,x89652)),f148(x89651,x89653)))+~P1(f317(f317(f224(f906(f905(x89651,x89651),a895)),x89652),x89653))
% 184.03/183.90 [8986]~P52(x89861,x89863,x89862)+P1(f317(f317(f224(f906(f905(x89861,x89861),a895)),x89862),f317(f317(f279(x89861,x89861,x89861),f317(f276(x89861,x89861),x89862)),x89862)))
% 184.03/183.90 [9038]~P1(f317(f127(x90381),x90382))+E(f317(f126(x90381,f317(f317(f9(x90381,f906(x90381,a895),a895),f319(x90381)),f317(f162(x90381),f166(x90381,x90382,x90383)))),x90382),f166(x90381,x90382,x90383))
% 184.03/183.90 [9091]E(x90911,x90912)+~P1(f317(f317(f319(f905(x90913,x90913)),f317(f317(f242(x90913,x90913),x90911),x90912)),f297(x90913,f178(f906(f905(x90913,x90913),a895)))))
% 184.03/183.90 [9173]P1(f317(f317(f319(x91731),x91732),f306(x91731,x91733)))+P1(f317(f317(f319(f905(x91731,x91731)),f317(f317(f242(x91731,x91731),f514(x91733,x91732,x91731)),x91732)),x91733))
% 184.03/183.90 [9174]P1(f317(f317(f319(x91741),x91742),f306(x91741,x91743)))+P1(f317(f317(f319(f905(x91741,x91741)),f317(f317(f242(x91741,x91741),f588(x91743,x91742,x91741)),x91742)),x91743))
% 184.03/183.90 [9175]P1(f317(f317(f319(x91751),x91752),f306(x91751,x91753)))+P1(f317(f317(f319(f905(x91751,x91751)),f317(f317(f242(x91751,x91751),f590(x91753,x91752,x91751)),x91752)),x91753))
% 184.03/183.90 [9211]P24(x92111,x92112,x92113,f232(f906(x92111,a895)))+~E(f317(f67(x92112,x92111,x92111,f85(x92111,x92112,f232(f906(x92111,a895)),x92113)),x92113),f25(x92111))
% 184.03/183.90 [9264]~P1(f317(f317(f319(f900(x92641)),x92643),f151(x92641,x92642)))+P1(f317(f150(x92641,f317(f317(f9(x92641,f906(x92641,a895),a895),f319(x92641)),x92642)),x92643))
% 184.03/183.90 [9287]P1(f317(x92873,x92872))+E(f317(f252(x92871),f317(f317(f20(x92871,a895,a895),f317(f317(f10(a895,f906(a895,a895),x92871),a315),f317(a314,x92872))),x92873)),f178(f906(x92871,a895)))
% 184.03/183.90 [9304]~P85(x93041)+P1(f317(f317(f224(x93041),f317(f70(x93041),f317(f317(f3(x93041),f317(f70(x93041),x93042)),f317(f70(x93041),x93043)))),f317(f70(x93041),f317(f317(f3(x93041),x93042),x93043))))
% 184.03/183.90 [9318]~P1(f317(x93183,x93182))+E(f317(f252(x93181),f317(f317(f20(x93181,a895,a895),f317(f317(f10(a895,f906(a895,a895),x93181),a315),f317(a314,x93182))),x93183)),f317(f317(f299(x93181),x93182),f178(f906(x93181,a895))))
% 184.03/183.90 [9327]~P1(f317(f317(f319(f906(x93271,a895)),x93273),f317(f298(x93271),x93272)))+P1(f317(f238(x93271,f317(f317(f9(x93271,f906(x93271,a895),a895),f319(x93271)),x93272)),x93273))
% 184.03/183.90 [9364]P36(x93641,x93642)+P1(f317(f317(f319(f905(x93641,x93641)),f317(f317(f242(x93641,x93641),f317(f550(x93642,x93641),f317(a102,x93643))),f317(f550(x93642,x93641),x93643))),x93642))
% 184.03/183.90 [9506]P1(f317(f317(f319(f900(x95061)),x95062),f151(x95061,x95063)))+~P1(f317(f150(x95061,f317(f317(f9(x95061,f906(x95061,a895),a895),f319(x95061)),x95063)),x95062))
% 184.03/183.90 [9521]P1(f317(f317(f319(f906(x95211,a895)),x95212),f317(f298(x95211),x95213)))+~P1(f317(f238(x95211,f317(f317(f9(x95211,f906(x95211,a895),a895),f319(x95211)),x95213)),x95212))
% 184.03/183.90 [9586]P1(f317(f317(f319(x95861),f317(f258(x95861,x95862),x95863)),f317(f162(x95861),f317(f317(f144(f905(a89,x95861),x95861),f246(a89,x95861)),x95862))))+~P1(f317(f317(f225(a89),x95863),f317(f155(a89),f317(f317(f144(f905(a89,x95861),a89),f241(a89,x95861)),x95862))))
% 184.03/183.90 [9636]P1(f317(f317(f224(f906(f905(f900(x96361),f900(x96361)),a895)),f148(x96361,x96362)),f317(f317(f244(f900(x96361),f900(x96361)),f151(x96361,x96363)),f317(f18(f906(f900(x96361),a895),f900(x96361)),f151(x96361,x96363)))))+~P1(f317(f317(f224(f906(f905(x96361,x96361),a895)),x96362),f317(f317(f244(x96361,x96361),x96363),f317(f18(f906(x96361,a895),x96361),x96363))))
% 184.03/183.90 [9661]P1(f317(f317(f319(x96611),f317(f241(x96611,f905(a89,a89)),f317(f256(x96611,x96612),x96613))),f317(f162(x96611),f317(f317(f144(f905(a89,x96611),x96611),f246(a89,x96611)),x96612))))+~P1(f317(f317(f225(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f905(a89,x96611),a89),f241(a89,x96611)),x96612))))
% 184.03/183.90 [9676]~P1(f317(f317(f224(f906(f905(x96761,x96761),a895)),x96762),f317(f317(f244(x96761,x96761),x96763),f317(f18(f906(x96761,a895),x96761),x96763))))+P1(f317(f317(f224(f906(f905(x96761,x96761),a895)),f317(f317(f279(x96761,x96761,x96761),x96762),f297(x96761,x96762))),f317(f317(f244(x96761,x96761),x96763),f317(f18(f906(x96761,a895),x96761),x96763))))
% 184.03/183.90 [9975]~P36(x99751,x99752)+~P1(f317(f317(f319(f905(x99751,x99751)),f317(f317(f242(x99751,x99751),f317(x99753,f317(a102,f551(x99752,x99751,x99753)))),f317(x99753,f551(x99752,x99751,x99753)))),x99752))
% 184.03/183.90 [9976]~P36(x99761,x99762)+~P1(f317(f317(f319(f905(x99761,x99761)),f317(f317(f242(x99761,x99761),f317(x99763,f317(a102,f594(x99763,x99762,x99761)))),f317(x99763,f594(x99763,x99762,x99761)))),x99762))
% 184.03/183.90 [10231]P1(f317(f317(f224(f906(f905(f906(x102311,a895),f906(x102311,a895)),a895)),f317(f317(f279(f906(x102311,a895),f906(x102311,a895),f906(x102311,a895)),f310(x102311,x102312)),f317(f317(f91(f906(f905(f906(x102311,a895),f906(x102311,a895)),a895)),f310(x102311,x102313)),f317(f317(f299(f905(f906(x102311,a895),f906(x102311,a895))),f317(f317(f242(f906(x102311,a895),f906(x102311,a895)),f178(f906(x102311,a895))),f178(f906(x102311,a895)))),f178(f906(f905(f906(x102311,a895),f906(x102311,a895)),a895)))))),f310(x102311,x102312)))+~P1(f317(f317(f224(f906(f905(x102311,x102311),a895)),f317(f317(f279(x102311,x102311,x102311),x102312),x102313)),x102312))
% 184.03/183.90 [10232]P1(f317(f317(f224(f906(f905(f906(x102321,a895),f906(x102321,a895)),a895)),f317(f317(f279(f906(x102321,a895),f906(x102321,a895),f906(x102321,a895)),f308(x102321,x102322)),f317(f317(f91(f906(f905(f906(x102321,a895),f906(x102321,a895)),a895)),f308(x102321,x102323)),f317(f317(f299(f905(f906(x102321,a895),f906(x102321,a895))),f317(f317(f242(f906(x102321,a895),f906(x102321,a895)),f178(f906(x102321,a895))),f178(f906(x102321,a895)))),f178(f906(f905(f906(x102321,a895),f906(x102321,a895)),a895)))))),f308(x102321,x102322)))+~P1(f317(f317(f224(f906(f905(x102321,x102321),a895)),f317(f317(f279(x102321,x102321,x102321),x102322),x102323)),x102322))
% 184.03/183.90 [7391]~P1(f317(f317(f224(a899),x73912),x73911))+E(f317(f317(f3(a899),f317(a102,f317(f317(f3(a899),x73911),x73912))),x73913),f317(f317(f3(a899),f317(a102,x73911)),f317(f317(f74(a899),x73912),x73913)))
% 184.03/183.90 [7431]~P3(x74311)+E(f317(f317(f74(x74311),f40(x74311,x74312,x74313)),f317(f317(f75(x74311),f317(f317(f30(x74311),x74312),x74313)),x74313)),x74312)
% 184.03/183.90 [7629]E(f317(f317(f75(a899),f317(f94(a899),x76291)),f317(f317(f75(a899),f317(f94(a899),x76292)),x76293)),f317(f317(f75(a899),f317(f94(a899),f317(f317(f75(a1),x76291),x76292))),x76293))+P1(f317(f317(f225(a1),x76291),a77))
% 184.03/183.90 [8097]~P1(f317(f317(f224(a899),x80973),x80972))+P1(f317(f317(f224(a899),x80971),f317(f317(f3(a899),f317(f317(f74(a899),x80972),x80971)),x80973)))
% 184.03/183.90 [8297]~P1(f317(f317(f224(a899),x82971),x82972))+E(f317(f317(f124(a899),f129(a899,f317(f292(a899,x82971),x82972))),f129(a899,f317(f292(a899,x82972),f317(f317(f74(a899),x82972),x82973)))),f129(a899,f317(f292(a899,x82971),f317(f317(f74(a899),x82972),x82973))))
% 184.03/183.90 [8554]~P1(f317(f28(x85541),x85542))+E(f317(a102,f317(f29(x85541),f317(f317(f3(f906(x85541,a895)),x85542),f317(f317(f299(x85541),x85543),f178(f906(x85541,a895)))))),f317(f29(x85541),f317(f317(f299(x85541),x85543),x85542)))
% 184.03/183.90 [8593]~P1(f317(f28(x85931),x85932))+E(f317(f317(f74(a899),f72(a899)),f317(f29(x85931),f317(f317(f3(f906(x85931,a895)),x85932),f317(f317(f299(x85931),x85933),f178(f906(x85931,a895)))))),f317(f29(x85931),f317(f317(f299(x85931),x85933),x85932)))
% 184.03/183.90 [8782]E(f317(f317(f3(a899),f317(f29(x87821),x87822)),f317(f29(x87821),f317(f317(f92(f906(x87821,a895)),x87822),x87823))),f317(f29(x87821),f317(f317(f3(f906(x87821,a895)),x87822),x87823)))+~P1(f317(f28(x87821),f317(f317(f92(f906(x87821,a895)),x87822),x87823)))
% 184.03/183.90 [9033]~P6(f317(x90332,f457(x90332,x90333,x90331)))+E(f317(f90(a1),f317(f317(f8(x90331,a899),f317(f317(f10(a1,a899,x90331),a95),x90332)),x90333)),f317(f317(f8(x90331,a1),x90332),x90333))
% 184.03/183.90 [9034]~P6(f317(x90342,f454(x90342,x90343,x90341)))+E(f317(f90(a1),f317(f317(f11(x90341,a899),f317(f317(f10(a1,a899,x90341),a95),x90342)),x90343)),f317(f317(f11(x90341,a1),x90342),x90343))
% 184.03/183.90 [9074]~P1(f317(f28(x90741),x90743))+P1(f317(f317(f224(a899),f317(f317(f3(a899),f317(f29(x90741),x90742)),f317(f29(x90741),x90743))),f317(f29(x90741),f317(f317(f3(f906(x90741,a895)),x90742),x90743))))
% 184.03/183.90 [9101]P1(f317(f317(f319(x91011),f457(x91012,x91013,x91011)),x91013))+E(f317(f90(a1),f317(f317(f8(x91011,a899),f317(f317(f10(a1,a899,x91011),a95),x91012)),x91013)),f317(f317(f8(x91011,a1),x91012),x91013))
% 184.03/183.90 [9102]P1(f317(f317(f319(x91021),f454(x91022,x91023,x91021)),x91023))+E(f317(f90(a1),f317(f317(f11(x91021,a899),f317(f317(f10(a1,a899,x91021),a95),x91022)),x91023)),f317(f317(f11(x91021,a1),x91022),x91023))
% 184.03/183.90 [9165]E(f79(x91651,f317(f317(f9(x91651,f906(x91651,a895),a895),f319(x91651)),f317(f317(f3(f906(x91651,a895)),x91652),f317(f317(f299(x91651),x91653),f178(f906(x91651,a895)))))),f237(x91651,x91653,x91652))+P1(f317(f317(f224(f906(x91651,a895)),x91652),f317(f317(f299(x91651),x91653),f178(f906(x91651,a895)))))
% 184.03/183.90 [9522]E(f317(f317(f144(f900(x95221),x95221),f317(f317(f9(f900(x95221),a899,x95221),f154(x95221)),x95222)),f317(f126(f900(x95221),f317(f317(f10(a899,a895,f900(x95221)),f317(f225(a899),x95222)),f179(f900(x95221)))),x95223)),f317(f317(f154(f900(x95221)),f169(x95221,x95223)),x95222))+~P1(f317(f317(f225(a899),x95222),f317(f179(f900(f900(x95221))),f169(x95221,x95223))))
% 184.03/183.90 [9609]E(f317(f126(x96091,x96092),x96093),f167(x96091,x96092,x96093))+P1(f317(f317(f319(x96091),f704(x96093,x96092,x96091)),f317(f162(x96091),f317(f317(f128(x96091),f317(f179(f900(x96091)),f167(x96091,x96092,x96093))),x96093))))
% 184.03/183.90 [9749]E(f317(f317(f128(x97491),f317(f179(f900(x97491)),f167(x97491,x97492,x97493))),x97493),f103(x97491))+~P1(f317(x97492,f317(f131(x97491),f317(f317(f128(x97491),f317(f179(f900(x97491)),f167(x97491,x97492,x97493))),x97493))))
% 184.03/183.90 [9841]~P1(f317(f317(f319(f905(x98411,x98411)),x98412),f297(x98411,x98413)))+P1(f317(f317(f319(f905(x98411,x98411)),x98412),f317(f317(f35(a899,f906(f905(x98411,x98411),a895)),f232(f906(a899,a895))),f317(f317(f9(a899,f906(f905(x98411,x98411),a895),f906(f905(x98411,x98411),a895)),f173(f905(x98411,x98411),a895)),x98413))))
% 184.03/183.90 [9902]~P1(f317(f317(f224(f906(x99021,a895)),f317(f317(f35(a899,f906(x99021,a895)),f317(f292(a899,f2(a899)),f487(x99023,x99022,x99021))),x99022)),x99023))+P1(f317(f317(f224(f906(x99021,a895)),f317(f317(f35(a899,f906(x99021,a895)),f232(f906(a899,a895))),x99022)),x99023))
% 184.03/183.90 [9948]~P1(f317(f317(f225(a1),f2(a1)),x99483))+P1(f317(f317(f225(a1),x99481),f317(f317(f74(a1),x99482),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x99482),x99481))),f72(a1))),x99483))))
% 184.03/183.90 [9962]~P36(x99621,f317(f317(f91(f906(f905(x99621,x99621),a895)),x99622),x99623))+P36(x99621,f317(f317(f91(f906(f905(x99621,x99621),a895)),f317(f317(f91(f906(f905(x99621,x99621),a895)),f317(f317(f279(x99621,x99621,x99621),x99622),x99622)),f317(f317(f279(x99621,x99621,x99621),x99623),x99622))),x99623))
% 184.03/183.90 [10037]P36(x100371,f317(f317(f91(f906(f905(x100371,x100371),a895)),x100372),x100373))+~P36(x100371,f317(f317(f91(f906(f905(x100371,x100371),a895)),f317(f317(f91(f906(f905(x100371,x100371),a895)),f317(f317(f279(x100371,x100371,x100371),x100372),x100372)),f317(f317(f279(x100371,x100371,x100371),x100373),x100372))),x100373))
% 184.03/183.90 [9613]~P141(x96131)+E(f317(f93(x96131),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x96132),x96133)),f178(f906(f905(a899,a899),a895)))))),f317(f317(f3(x96131),f317(f90(x96131),x96132)),f317(f90(x96131),x96133)))
% 184.03/183.90 [9696]P1(f317(x96963,x96962))+E(f317(f252(x96961),f317(f317(f20(x96961,a895,a895),f317(f317(f10(a895,f906(a895,a895),x96961),a315),f317(f317(f9(x96961,x96961,a895),a314),x96962))),x96963)),f178(f906(x96961,a895)))
% 184.03/183.90 [9698]~P1(f317(x96983,x96982))+E(f317(f252(x96981),f317(f317(f20(x96981,a895,a895),f317(f317(f10(a895,f906(a895,a895),x96981),a315),f317(f317(f9(x96981,x96981,a895),a314),x96982))),x96983)),f317(f317(f299(x96981),x96982),f178(f906(x96981,a895))))
% 184.03/183.90 [9928]E(x99281,x99282)+P1(f317(f317(f233(x99283,x99283,f317(f317(f10(f906(x99283,a895),f906(x99283,a895),x99283),f317(f10(a895,a895,x99283),a312)),a314)),x99281),x99282))
% 184.03/183.90 [10017]~E(x100171,x100172)+~P1(f317(f317(f233(x100173,x100173,f317(f317(f10(f906(x100173,a895),f906(x100173,a895),x100173),f317(f10(a895,a895,x100173),a312)),a314)),x100171),x100172))
% 184.03/183.90 [10029]~P1(f317(f28(x100291),x100293))+E(f317(f317(f58(x100291,f906(x100291,a895),f317(f317(f10(f906(x100291,a895),f906(f906(x100291,a895),f906(x100291,a895)),x100291),f317(f9(f906(x100291,a895),f906(x100291,a895),f906(x100291,a895)),f3(f906(x100291,a895)))),f317(f317(f9(x100291,f906(x100291,a895),f906(x100291,a895)),f299(x100291)),f178(f906(x100291,a895))))),x100292),x100293),f317(f317(f3(f906(x100291,a895)),x100292),x100293))
% 184.03/183.90 [10059]~P1(f317(f317(f225(a1),f2(a1)),x100593))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x100591),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x100591),x100592))),f72(a1))),x100593))),x100592))
% 184.03/183.90 [10321]~P1(f317(f317(f319(x103211),x103213),f306(x103211,x103212)))+P1(f317(f305(x103211,f317(f317(f9(x103211,f906(f905(x103211,x103211),a895),f906(x103211,a895)),f317(f317(f10(f906(x103211,f906(f906(f905(x103211,x103211),a895),a895)),f906(f906(f905(x103211,x103211),a895),f906(x103211,a895)),x103211),f9(x103211,f906(f905(x103211,x103211),a895),a895)),f317(f317(f10(f906(x103211,f905(x103211,x103211)),f906(x103211,f906(f906(f905(x103211,x103211),a895),a895)),x103211),f317(f10(f905(x103211,x103211),f906(f906(f905(x103211,x103211),a895),a895),x103211),f319(f905(x103211,x103211)))),f242(x103211,x103211)))),x103212)),x103213))
% 184.03/183.90 [10334]P1(f317(f317(f319(x103341),x103342),f306(x103341,x103343)))+~P1(f317(f305(x103341,f317(f317(f9(x103341,f906(f905(x103341,x103341),a895),f906(x103341,a895)),f317(f317(f10(f906(x103341,f906(f906(f905(x103341,x103341),a895),a895)),f906(f906(f905(x103341,x103341),a895),f906(x103341,a895)),x103341),f9(x103341,f906(f905(x103341,x103341),a895),a895)),f317(f317(f10(f906(x103341,f905(x103341,x103341)),f906(x103341,f906(f906(f905(x103341,x103341),a895),a895)),x103341),f317(f10(f905(x103341,x103341),f906(f906(f905(x103341,x103341),a895),a895),x103341),f319(f905(x103341,x103341)))),f242(x103341,x103341)))),x103343)),x103342))
% 184.03/183.90 [9900]~P1(f317(f28(x99001),f317(f252(x99001),x99003)))+P1(f317(f28(x99001),f317(f252(x99001),f317(f317(f20(x99001,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99001),a315),x99002)),x99003))))
% 184.03/183.90 [9901]~P1(f317(f28(x99011),f317(f252(x99011),x99012)))+P1(f317(f28(x99011),f317(f252(x99011),f317(f317(f20(x99011,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99011),a315),x99012)),x99013))))
% 184.03/183.90 [9996]P1(f317(f28(x99961),f317(f252(x99961),x99962)))+~P1(f317(f28(x99961),f317(f252(x99961),f317(f317(f20(x99961,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99961),a316),x99963)),x99962))))
% 184.03/183.90 [9997]P1(f317(f28(x99971),f317(f252(x99971),x99972)))+~P1(f317(f28(x99971),f317(f252(x99971),f317(f317(f20(x99971,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99971),a316),x99972)),x99973))))
% 184.03/183.90 [10300]~P1(f317(f28(x103001),x103002))+P1(f317(f28(f900(x103001)),f317(f252(f900(x103001)),f317(f317(f20(f900(x103001),a895,a895),f317(f317(f10(a895,f906(a895,a895),f900(x103001)),a315),f317(f317(f9(f900(x103001),f906(x103001,a895),a895),f317(f317(f10(f906(x103001,a895),f906(f906(x103001,a895),a895),f900(x103001)),f224(f906(x103001,a895))),f162(x103001))),x103002))),f317(f317(f9(f900(x103001),a899,a895),f317(f317(f10(a899,f906(a899,a895),f900(x103001)),a314),f179(f900(x103001)))),x103003)))))
% 184.03/183.90 [10301]~P1(f317(f28(x103011),x103012))+P1(f317(f28(f900(x103011)),f317(f252(f900(x103011)),f317(f317(f20(f900(x103011),a895,a895),f317(f317(f10(a895,f906(a895,a895),f900(x103011)),a315),f317(f317(f9(f900(x103011),f906(x103011,a895),a895),f317(f317(f10(f906(x103011,a895),f906(f906(x103011,a895),a895),f900(x103011)),f224(f906(x103011,a895))),f162(x103011))),x103012))),f317(f317(f9(f900(x103011),a899,a895),f317(f317(f10(a899,f906(a899,a895),f900(x103011)),f224(a899)),f179(f900(x103011)))),x103013)))))
% 184.03/183.90 [10010]~P120(x100101)+E(f317(f317(f234(x100101),x100102),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100103)),f317(f317(f75(x100101),f317(f317(f234(x100101),x100102),x100103)),f317(f317(f234(x100101),x100102),x100103)))
% 184.03/183.90 [10040]~P80(x100401)+E(f317(f317(f234(x100401),f317(f317(f234(x100401),x100402),x100403)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x100401),x100402),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100403)))
% 184.03/183.90 [10096]~P141(x100961)+E(f317(f317(f234(x100961),f317(f73(x100961),x100962)),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100963)),f317(f317(f234(x100961),x100962),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100963)))
% 184.03/183.90 [10239]~P113(x102391)+P1(f317(f317(f224(x102391),f2(x102391)),f317(f317(f74(x102391),f317(f317(f234(x102391),x102392),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102391),x102393),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 184.03/183.90 [10106]~P120(x101061)+E(f317(f317(f234(x101061),x101062),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101063))),f317(f317(f75(x101061),x101062),f317(f317(f75(x101061),f317(f317(f234(x101061),x101062),x101063)),f317(f317(f234(x101061),x101062),x101063))))
% 184.03/183.90 [10156]~P80(x101561)+E(f317(f317(f75(x101561),x101562),f317(f317(f234(x101561),f317(f317(f234(x101561),x101562),x101563)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101561),x101562),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101563))))
% 184.03/183.90 [10196]~P113(x101961)+P1(f317(f317(f224(x101961),f2(x101961)),f317(f317(f234(x101961),x101962),f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101963))))
% 184.03/183.90 [10276]~P93(x102761)+E(f317(f317(f3(x102761),f317(f317(f74(x102761),f317(f317(f234(x102761),x102762),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102761),x102763),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102761),f317(f317(f75(x102761),f317(f94(x102761),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102762)),x102763)),f317(f317(f234(x102761),f317(f317(f3(x102761),x102762),x102763)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [10277]~P93(x102771)+E(f317(f317(f74(x102771),f317(f317(f74(x102771),f317(f317(f234(x102771),x102772),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102771),x102773),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102771),f317(f317(f75(x102771),f317(f94(x102771),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102772)),x102773)),f317(f317(f234(x102771),f317(f317(f74(x102771),x102772),x102773)),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [7897]P24(x78971,x78972,x78973,x78974)+~E(f507(x78974,x78973,x78972,x78971),f508(x78974,x78973,x78972,x78971))
% 184.03/183.90 [8188]P33(x81881,x81882,x81883,x81884,f103(x81882))+~E(x81884,f103(x81881))
% 184.03/183.90 [8189]P33(x81891,x81892,x81893,f103(x81891),x81894)+~E(x81894,f103(x81892))
% 184.03/183.90 [8730]~P33(x87302,x87303,x87304,x87301,f103(x87303))+E(x87301,f103(x87302))
% 184.03/183.90 [8731]~P33(x87313,x87312,x87314,f103(x87313),x87311)+E(x87311,f103(x87312))
% 184.03/183.90 [5133]~P17(x51333,x51331,x51334)+E(f317(f317(x51331,x51332),x51332),x51332)
% 184.03/183.90 [5379]P1(f317(x53792,x53794))+E(f317(f126(x53791,x53792),f159(x53791,x53793,x53794)),f103(x53791))
% 184.03/183.90 [5417]~E(x54174,f178(f906(x54171,a895)))+E(f317(f300(x54171,x54172,x54173),x54174),f178(f906(x54172,a895)))
% 184.03/183.90 [5663]~P1(f317(x56632,x56634))+E(f317(f126(x56631,x56632),f159(x56631,x56633,x56634)),f159(x56631,x56633,x56634))
% 184.03/183.90 [5693]~E(f317(f300(x56932,x56933,x56934),x56931),f178(f906(x56933,a895)))+E(x56931,f178(f906(x56932,a895)))
% 184.03/183.90 [5880]~P7(x58801,x58803)+E(f261(x58801,x58802,f260(x58801,x58803),x58804),x58804)
% 184.03/183.90 [5996]~P107(x59962)+E(f317(f317(f138(x59961,x59962,x59963),x59964),f103(x59961)),f317(f317(f141(x59961),x59964),f103(x59961)))
% 184.03/183.90 [6363]~E(x63631,f178(f906(x63632,a895)))+~P1(f317(f56(x63632,x63633,x63631),x63634))
% 184.03/183.90 [6386]~P58(x63861,x63863,x63864,x63862)+P1(f317(f28(x63861),x63862))
% 184.03/183.90 [6388]~P58(x63881,x63883,x63882,x63884)+P1(f317(f28(x63881),x63882))
% 184.03/183.90 [6396]~P58(x63962,x63963,x63964,x63961)+~E(x63961,f178(f906(x63962,a895)))
% 184.03/183.90 [6430]~P109(x64301)+E(f317(f317(f92(f906(x64301,a895)),f317(f292(x64301,x64302),x64303)),f293(x64301,x64303,x64304)),f178(f906(x64301,a895)))
% 184.03/183.90 [6457]~P1(f317(f317(x64573,x64574),x64572))+P1(f317(f317(f319(x64571),x64572),f284(x64571,x64573,x64574)))
% 184.03/183.90 [6458]~P1(f317(f317(x64583,x64584),x64582))+P1(f317(f317(f319(x64581),x64582),f285(x64581,x64583,x64584)))
% 184.03/183.90 [6459]~P1(f317(f317(x64593,x64592),x64594))+P1(f317(f317(f319(x64591),x64592),f286(x64591,x64593,x64594)))
% 184.03/183.90 [6460]~P1(f317(f317(x64603,x64602),x64604))+P1(f317(f317(f319(x64601),x64602),f288(x64601,x64603,x64604)))
% 184.03/183.90 [6606]~P109(x66061)+E(f317(f317(f92(f906(x66061,a895)),f296(x66061,x66062,x66063)),f293(x66061,x66063,x66064)),f178(f906(x66061,a895)))
% 184.03/183.90 [6607]~P109(x66071)+E(f317(f317(f92(f906(x66071,a895)),f293(x66071,x66072,x66073)),f296(x66071,x66073,x66074)),f178(f906(x66071,a895)))
% 184.03/183.90 [6608]~P109(x66081)+E(f317(f317(f92(f906(x66081,a895)),f293(x66081,x66082,x66083)),f295(x66081,x66083,x66084)),f178(f906(x66081,a895)))
% 184.03/183.90 [6609]~P109(x66091)+E(f317(f317(f92(f906(x66091,a895)),f295(x66091,x66092,x66093)),f296(x66091,x66093,x66094)),f178(f906(x66091,a895)))
% 184.03/183.90 [6610]~P109(x66101)+E(f317(f317(f92(f906(x66101,a895)),f295(x66101,x66102,x66103)),f295(x66101,x66103,x66104)),f178(f906(x66101,a895)))
% 184.03/183.90 [6648]P1(f317(f317(x66481,x66482),f549(x66482,x66481)))+~P1(f317(f239(x66483,x66484,x66481),x66482))
% 184.03/183.90 [6730]~P107(x67302)+E(f317(f162(x67301),f140(x67301,x67302,x67303,x67304)),f317(f162(x67301),x67304))
% 184.03/183.90 [6782]~P145(x67821)+E(f180(x67821,x67822,f317(a102,x67823),x67824),f180(x67821,x67822,x67823,f317(x67822,x67824)))
% 184.03/183.90 [6847]~P1(f317(f317(f319(x68474),x68473),f284(x68474,x68471,x68472)))+P1(f317(f317(x68471,x68472),x68473))
% 184.03/183.90 [6848]~P1(f317(f317(f319(x68484),x68483),f285(x68484,x68481,x68482)))+P1(f317(f317(x68481,x68482),x68483))
% 184.03/183.90 [6849]~P1(f317(f317(f319(x68494),x68492),f286(x68494,x68491,x68493)))+P1(f317(f317(x68491,x68492),x68493))
% 184.03/183.90 [6850]~P1(f317(f317(f319(x68504),x68502),f288(x68504,x68501,x68503)))+P1(f317(f317(x68501,x68502),x68503))
% 184.03/183.90 [6927]E(f317(f29(f904(x69271,x69272)),f303(x69271,x69272,x69273,x69274)),f2(a899))+P1(f317(f28(x69272),x69274))
% 184.03/183.90 [6928]E(f317(f29(f904(x69281,x69282)),f303(x69281,x69282,x69283,x69284)),f2(a899))+P1(f317(f28(x69281),x69283))
% 184.03/183.90 [7135]~P14(x71354,x71351,x71352)+E(f317(f67(x71351,x71351,x71351,f317(x71352,x71353)),f317(x71352,x71353)),f317(x71352,x71353))
% 184.03/183.90 [7376]E(f267(x73761,x73762,x73763,x73764),f317(f242(f906(a89,f906(a895,f902(f901(x73761)))),f905(a89,a89)),f36(x73761)))+~P1(f317(f317(f224(a89),x73763),f2(a89)))
% 184.03/183.90 [8020]~E(x80202,x80203)+P1(f317(f317(f319(f905(x80201,x80201)),f317(f317(f242(x80201,x80201),x80202),x80203)),f297(x80201,x80204)))
% 184.03/183.90 [8049]~P24(x80491,x80492,x80493,f232(f906(x80491,a895)))+E(f317(f71(x80491,x80492,f232(f906(x80491,a895)),x80493),f317(x80493,x80494)),x80494)
% 184.03/183.90 [8050]~P24(x80501,x80502,x80503,f232(f906(x80501,a895)))+E(f317(f85(x80501,x80502,f232(f906(x80501,a895)),x80503),f317(x80503,x80504)),x80504)
% 184.03/183.90 [8137]~P1(f317(f317(f319(f900(x81371)),f317(f317(f141(x81371),x81374),x81372)),f151(x81371,x81373)))+P1(f317(f317(f319(f900(x81371)),x81372),f151(x81371,x81373)))
% 184.03/183.90 [8138]~P1(f317(f317(f319(f900(x81381)),f317(f317(f124(x81381),x81384),x81382)),f151(x81381,x81383)))+P1(f317(f317(f319(f900(x81381)),x81382),f151(x81381,x81383)))
% 184.03/183.90 [8139]~P1(f317(f317(f319(f900(x81391)),f317(f317(f124(x81391),x81392),x81394)),f151(x81391,x81393)))+P1(f317(f317(f319(f900(x81391)),x81392),f151(x81391,x81393)))
% 184.03/183.90 [8150]~P107(x81501)+P13(x81501,f317(f317(f144(x81502,x81501),x81503),f140(x81502,x81501,x81503,x81504)))
% 184.03/183.90 [8255]P24(x82554,x82553,x82551,x82552)+E(f317(x82551,f507(x82552,x82551,x82553,x82554)),f317(x82551,f508(x82552,x82551,x82553,x82554)))
% 184.03/183.90 [8362]~P24(x83622,x83621,x83624,x83623)+P24(x83621,x83622,f71(x83622,x83621,x83623,x83624),f317(f300(x83622,x83621,x83624),x83623))
% 184.03/183.90 [8502]P36(f905(x85022,x85024),f270(x85022,x85024,x85021,x85023))+P1(f317(x85021,f553(x85022,x85023,x85024,x85021)))
% 184.03/183.90 [8618]E(x86181,x86182)+~P1(f317(f317(f319(f905(x86183,x86183)),f317(f317(f242(x86183,x86183),x86181),x86182)),f253(x86183,x86184)))
% 184.03/183.90 [8682]~P1(f317(f28(f904(x86823,x86821)),f303(x86823,x86821,x86824,x86822)))+P1(f317(f28(x86821),x86822))
% 184.03/183.90 [8683]~P1(f317(f28(f904(x86831,x86833)),f303(x86831,x86833,x86832,x86834)))+P1(f317(f28(x86831),x86832))
% 184.03/183.90 [8692]~P24(x86921,x86922,x86923,x86924)+P25(x86921,x86922,x86923,x86924,f317(f300(x86921,x86922,x86923),x86924))
% 184.03/183.90 [8693]P11(x86931,x86932,x86933,x86934)+~E(f317(x86934,f825(x86932,x86934,x86933,x86931)),f317(x86934,f826(x86932,x86934,x86933,x86931)))
% 184.03/183.90 [8783]~P25(x87832,x87833,x87834,x87831,f178(f906(x87833,a895)))+E(x87831,f178(f906(x87832,a895)))
% 184.03/183.90 [8784]~P25(x87843,x87842,x87844,f178(f906(x87843,a895)),x87841)+E(x87841,f178(f906(x87842,a895)))
% 184.03/183.90 [8876]P36(f905(x88761,x88762),f270(x88761,x88762,x88763,x88764))+~P36(x88762,f317(x88764,f553(x88761,x88764,x88762,x88763)))
% 184.03/183.90 [9442]E(f317(f317(f149(x94421,x94422),f650(x94423,x94424,x94422,x94421)),f651(x94423,x94424,x94422,x94421)),x94424)+~P1(f317(f317(f319(f905(f900(x94421),f900(x94421))),f317(f317(f242(f900(x94421),f900(x94421)),x94422),x94424)),f147(x94421,x94423)))
% 184.03/183.90 [9447]~P1(f317(f317(f319(f905(f900(x94471),f900(x94471))),f317(f317(f242(f900(x94471),f900(x94471)),x94472),x94473)),f135(x94471,x94474)))+P1(f317(f317(f319(f905(f900(x94471),f900(x94471))),f317(f317(f242(f900(x94471),f900(x94471)),x94472),x94473)),f137(x94471,x94474)))
% 184.03/183.90 [9559]P1(f317(f28(x95591),x95592))+~P1(f317(f317(f319(f905(f906(x95591,a895),f906(x95591,a895))),f317(f317(f242(f906(x95591,a895),f906(x95591,a895)),x95593),x95592)),f308(x95591,x95594)))
% 184.03/183.90 [9560]P1(f317(f28(x95601),x95602))+~P1(f317(f317(f319(f905(f906(x95601,a895),f906(x95601,a895))),f317(f317(f242(f906(x95601,a895),f906(x95601,a895)),x95602),x95603)),f308(x95601,x95604)))
% 184.03/183.90 [9563]~E(x95631,f178(f906(x95632,a895)))+~P1(f317(f317(f319(f905(f906(x95632,a895),f906(x95632,a895))),f317(f317(f242(f906(x95632,a895),f906(x95632,a895)),x95633),x95631)),f308(x95632,x95634)))
% 184.03/183.90 [10207]P11(x102071,x102072,x102073,x102074)+~P1(f317(f317(f247(x102071,x102071,a895),f317(f317(f9(x102071,f906(x102071,x102072),f906(x102071,a895)),f317(f317(f10(f906(x102072,a895),f906(f906(x102071,x102072),f906(x102071,a895)),x102071),f10(x102072,a895,x102071)),f317(f317(f10(x102072,f906(x102072,a895),x102071),a314),x102074))),x102074)),f562(x102074,x102073,x102072,x102071)))
% 184.03/183.90 [5031]~E(x50312,f103(x50311))+E(f317(f317(f149(x50311,x50312),x50313),x50314),f103(x50311))
% 184.03/183.90 [5032]~E(x50324,f103(x50321))+E(f317(f317(f144(x50321,x50322),x50323),x50324),f103(x50322))
% 184.03/183.90 [5266]E(x52661,f103(x52662))+~E(f317(f317(f144(x52662,x52663),x52664),x52661),f103(x52663))
% 184.03/183.90 [5267]E(x52671,f103(x52672))+~E(f317(f317(f149(x52672,x52671),x52673),x52674),f103(x52672))
% 184.03/183.90 [5304]E(x53041,x53042)+~E(f317(f317(f124(x53043),x53044),x53041),f317(f317(f124(x53043),x53044),x53042))
% 184.03/183.90 [5305]E(x53051,x53052)+~E(f317(f317(f124(x53053),x53051),x53054),f317(f317(f124(x53053),x53052),x53054))
% 184.03/183.90 [5454]P1(f317(x54543,x54542))+E(f160(x54541,x54542,f317(f126(x54541,x54543),x54544)),f317(f126(x54541,x54543),x54544))
% 184.03/183.90 [5456]~P1(f317(x54562,x54563))+P32(x54561,x54562,f317(f317(f141(x54561),x54563),x54564))
% 184.03/183.90 [5466]E(x54661,x54662)+~E(f129(a899,f317(f292(a899,x54661),x54663)),f317(f317(f141(a899),x54662),x54664))
% 184.03/183.90 [5515]~P26(x55152,x55153)+P26(x55151,f317(f317(f68(x55152,x55151),x55153),x55154))
% 184.03/183.90 [5516]~P36(x55162,x55163)+P36(x55161,f317(f317(f278(x55162,x55161),x55163),x55164))
% 184.03/183.90 [5517]~P37(x55172,x55173)+P37(x55171,f317(f317(f278(x55172,x55171),x55173),x55174))
% 184.03/183.90 [5518]~P51(x55182,x55183)+P51(x55181,f317(f317(f278(x55182,x55181),x55183),x55184))
% 184.03/183.90 [5647]~P32(x56471,x56472,x56474)+P32(x56471,x56472,f317(f317(f141(x56471),x56473),x56474))
% 184.03/183.90 [5648]~P32(x56481,x56482,x56484)+P32(x56481,x56482,f317(f317(f124(x56481),x56483),x56484))
% 184.03/183.90 [5649]~P32(x56491,x56492,x56493)+P32(x56491,x56492,f317(f317(f124(x56491),x56493),x56494))
% 184.03/183.90 [5736]~E(x57361,f103(x57362))+~E(f317(f317(f124(x57362),x57363),f317(f317(f141(x57362),x57364),f103(x57362))),x57361)
% 184.03/183.90 [5761]~P30(x57613,x57611,f317(f317(f141(x57613),x57612),x57614))+P1(f317(x57611,x57612))
% 184.03/183.90 [5771]E(f104(x57711,x57712),x57713)+~E(f317(f317(f124(x57711),x57713),f317(f317(f141(x57711),x57714),f103(x57711))),x57712)
% 184.03/183.90 [5772]E(f134(x57721,x57722),x57723)+~E(f317(f317(f124(x57721),x57724),f317(f317(f141(x57721),x57723),f103(x57721))),x57722)
% 184.03/183.90 [5882]~E(f129(a899,f317(f292(a899,x58821),x58822)),f317(f317(f141(a899),x58823),x58824))+P1(f317(f317(f225(a899),x58821),x58822))
% 184.03/183.90 [5900]P30(x59001,x59002,x59003)+~P30(x59001,x59002,f317(f317(f141(x59001),x59004),x59003))
% 184.03/183.90 [5901]P30(x59011,x59012,x59013)+~P30(x59011,x59012,f317(f317(f124(x59011),x59014),x59013))
% 184.03/183.90 [5902]P30(x59021,x59022,x59023)+~P30(x59021,x59022,f317(f317(f124(x59021),x59023),x59024))
% 184.03/183.90 [6101]E(x61011,f317(f317(f124(x61012),f317(f158(x61012),x61013)),f317(f317(f141(x61012),x61014),f103(x61012))))+~E(f317(f158(x61012),x61011),f317(f317(f141(x61012),x61014),x61013))
% 184.03/183.90 [6282]~P109(x62821)+E(f317(f317(f92(f906(x62821,a895)),f317(f292(x62821,x62822),x62823)),f317(f292(x62821,x62823),x62824)),f178(f906(x62821,a895)))
% 184.03/183.90 [6293]E(f317(f317(f154(x62931),f159(x62931,x62932,x62933)),x62934),x62933)+~P1(f317(f317(f225(a899),x62934),x62932))
% 184.03/183.90 [6320]~P70(x63201)+E(f317(f155(x63201),f317(f317(f144(a1,x63201),x63202),f168(x63203,x63204))),f317(f317(f8(a1,x63201),x63202),f317(f162(a1),f168(x63203,x63204))))
% 184.03/183.90 [6321]~P70(x63211)+E(f317(f317(f8(a1,x63211),x63212),f317(f162(a1),f168(x63213,x63214))),f317(f155(x63211),f317(f317(f144(a1,x63211),x63212),f168(x63213,x63214))))
% 184.03/183.90 [6470]~E(x64702,f317(f317(f124(x64701),f317(f158(x64701),x64704)),f317(f317(f141(x64701),x64703),f103(x64701))))+E(f317(f158(x64701),x64702),f317(f317(f141(x64701),x64703),x64704))
% 184.03/183.90 [6486]~P19(x64862,x64863,x64864,x64861)+E(f317(x64861,f178(f906(x64862,a895))),f25(x64863))
% 184.03/183.90 [6514]~P109(x65141)+E(f317(f317(f92(f906(x65141,a895)),f296(x65141,x65142,x65143)),f317(f292(x65141,x65143),x65144)),f178(f906(x65141,a895)))
% 184.03/183.90 [6733]E(x67331,f178(f906(x67332,a895)))+~E(f303(x67333,x67332,x67334,x67331),f178(f906(f904(x67333,x67332),a895)))
% 184.03/183.90 [6734]E(x67341,f178(f906(x67342,a895)))+~E(f303(x67342,x67343,x67341,x67344),f178(f906(f904(x67342,x67343),a895)))
% 184.03/183.90 [6804]~P107(x68042)+E(f317(f179(f900(x68041)),f140(x68041,x68042,x68043,x68044)),f317(f179(f900(x68041)),x68044))
% 184.03/183.90 [6815]~P1(f317(f240(x68153,x68154,x68151),x68152))+P1(f317(f317(x68151,f545(x68152,x68151)),x68152))
% 184.03/183.90 [6861]~P1(f317(f28(x68612),x68614))+P1(f317(f28(x68611),f317(f300(x68612,x68611,x68613),x68614)))
% 184.03/183.90 [7096]~P24(x70962,x70961,x70963,x70964)+E(f317(f29(x70961),f317(f300(x70962,x70961,x70963),x70964)),f317(f29(x70962),x70964))
% 184.03/183.90 [7114]E(f317(f300(x71141,x71142,x71143),f317(f301(x71141,x71142,x71143),x71144)),x71144)+~E(f317(f300(x71141,x71142,x71143),f232(f906(x71141,a895))),f232(f906(x71142,a895)))
% 184.03/183.90 [7530]~P24(x75301,x75302,x75303,f232(f906(x75301,a895)))+E(f317(f301(x75301,x75302,x75303),f317(f300(x75301,x75302,x75303),x75304)),x75304)
% 184.03/183.90 [7814]E(x78141,x78142)+~P1(f317(f317(f319(x78143),x78141),f317(f162(x78143),f159(x78143,x78144,x78142))))
% 184.03/183.90 [7823]~E(x78231,f2(a899))+~P1(f317(f317(f319(x78232),x78233),f317(f162(x78232),f159(x78232,x78231,x78234))))
% 184.03/183.90 [7856]P1(f317(x78561,x78562))+~P1(f317(f317(f319(x78563),x78562),f317(f162(x78563),f167(x78563,x78561,x78564))))
% 184.03/183.90 [7966]~P1(f317(f317(f319(f900(x79661)),f317(f317(f141(x79661),x79662),x79664)),f151(x79661,x79663)))+P1(f317(f317(f319(x79661),x79662),x79663))
% 184.03/183.90 [8094]~P1(f317(f317(f319(x80941),x80942),f317(f162(x80941),f166(x80941,x80943,x80944))))+P1(f317(f317(f319(x80941),x80942),f317(f162(x80941),x80943)))
% 184.03/183.90 [8095]~P1(f317(f317(f319(x80951),x80952),f317(f162(x80951),f160(x80951,x80954,x80953))))+P1(f317(f317(f319(x80951),x80952),f317(f162(x80951),x80953)))
% 184.03/183.90 [8096]~P1(f317(f317(f319(x80961),x80962),f317(f162(x80961),f167(x80961,x80964,x80963))))+P1(f317(f317(f319(x80961),x80962),f317(f162(x80961),x80963)))
% 184.03/183.90 [8106]E(f317(f179(f900(x81061)),x81062),x81063)+~P1(f317(f317(f319(f900(x81061)),x81062),f317(f162(f900(x81061)),f50(x81061,x81063,x81064))))
% 184.03/183.90 [8201]P1(f317(x82013,x82012))+E(f317(f126(x82011,f317(f317(f10(a895,a895,x82011),a312),f317(a314,x82012))),f317(f126(x82011,x82013),x82014)),f317(f126(x82011,x82013),x82014))
% 184.03/183.90 [8313]E(f317(f317(f154(x83131),f167(x83131,x83132,x83133)),x83134),f317(f317(f154(x83131),x83133),x83134))+~P1(f317(f317(f225(a899),x83134),f317(f179(f900(x83131)),f167(x83131,x83132,x83133))))
% 184.03/183.90 [8400]~P70(x84001)+E(f317(f317(f8(a899,x84001),f317(f317(f10(a899,x84001,a899),x84002),a102)),f317(f292(a899,x84003),x84004)),f317(f317(f8(a899,x84001),x84002),f317(f292(a899,f317(a102,x84003)),f317(a102,x84004))))
% 184.03/183.90 [8409]~P70(x84091)+E(f317(f317(f8(a899,x84091),f317(f317(f10(a899,x84091,a899),x84092),a102)),f293(a899,x84093,x84094)),f317(f317(f8(a899,x84091),x84092),f293(a899,f317(a102,x84093),f317(a102,x84094))))
% 184.03/183.90 [8539]~P24(x85391,x85393,x85394,f232(f906(x85391,a895)))+P24(x85391,f906(x85392,x85393),f317(f317(f10(x85393,f906(x85392,x85393),x85391),f18(x85393,x85392)),x85394),f232(f906(x85391,a895)))
% 184.03/183.90 [8624]~P24(x86242,x86241,x86244,x86243)+E(f317(f300(x86241,x86242,f71(x86242,x86241,x86243,x86244)),f317(f300(x86242,x86241,x86244),x86243)),x86243)
% 184.03/183.90 [8684]~P1(f317(f317(f319(f905(x86841,x86841)),f317(f317(f242(x86841,x86841),x86842),x86844)),f253(x86841,x86843)))+P1(f317(f317(f319(x86841),x86842),x86843))
% 184.03/183.90 [8807]~P24(x88072,x88071,x88073,f232(f906(x88072,a895)))+E(f317(f300(x88071,x88072,f85(x88072,x88071,f232(f906(x88072,a895)),x88073)),f317(f300(x88072,x88071,x88073),x88074)),x88074)
% 184.03/183.90 [8882]~P25(x88821,x88822,x88823,x88824,f232(f906(x88822,a895)))+E(f317(f300(x88821,x88822,x88823),f232(f906(x88821,a895))),f232(f906(x88822,a895)))
% 184.03/183.90 [8915]~E(f317(f317(f8(x89151,a899),x89154),x89153),f317(a102,x89152))+P1(f317(f317(f319(x89151),f854(x89152,x89153,x89154,x89151)),x89153))
% 184.03/183.90 [8936]~E(f317(f317(f8(x89364,a899),x89361),x89363),f317(a102,x89362))+P1(f317(f317(f225(a899),f2(a899)),f317(x89361,f854(x89362,x89363,x89361,x89364))))
% 184.03/183.90 [8947]~P1(f317(f28(x89472),x89474))+P1(f317(f317(f224(a899),f317(f29(x89471),f317(f300(x89472,x89471,x89473),x89474))),f317(f29(x89472),x89474)))
% 184.03/183.90 [8948]E(f317(f317(f242(x89481,x89482),f624(x89483,x89484,x89482,x89481)),f625(x89483,x89484,x89482,x89481)),x89484)+~P1(f317(f317(f319(f905(x89481,x89482)),x89484),f317(f276(x89482,x89481),x89483)))
% 184.03/183.90 [8956]P24(x89561,x89562,x89563,x89564)+P1(f317(f317(f319(x89561),f507(x89564,x89563,x89562,x89561)),x89564))
% 184.03/183.90 [8957]P24(x89571,x89572,x89573,x89574)+P1(f317(f317(f319(x89571),f508(x89574,x89573,x89572,x89571)),x89574))
% 184.03/183.90 [9025]P11(x90251,x90252,x90253,x90254)+P1(f317(f317(f319(f905(x90251,x90251)),f562(x90254,x90253,x90252,x90251)),x90253))
% 184.03/183.90 [9079]P1(f317(x90791,x90792))+~P1(f317(x90791,f317(f317(f242(x90793,x90794),f445(x90794,x90793,x90791)),f447(x90794,x90793,x90791))))
% 184.03/183.90 [9096]E(f317(f179(f900(x90961)),x90962),f317(f179(f900(x90961)),x90963))+~P1(f317(f317(f319(f905(f900(x90961),f900(x90961))),f317(f317(f242(f900(x90961),f900(x90961)),x90962),x90963)),f135(x90961,x90964)))
% 184.03/183.90 [9097]E(f317(f179(f900(x90971)),x90972),f317(f179(f900(x90971)),x90973))+~P1(f317(f317(f319(f905(f900(x90971),f900(x90971))),f317(f317(f242(f900(x90971),f900(x90971)),x90972),x90973)),f147(x90971,x90974)))
% 184.03/183.90 [9100]E(f317(f179(f900(x91001)),x91002),f317(f179(f900(x91001)),x91003))+~P1(f317(f317(f319(f905(f900(x91001),f900(x91001))),f317(f317(f242(f900(x91001),f900(x91001)),x91002),x91003)),f148(x91001,x91004)))
% 184.03/183.90 [9169]P1(f317(f317(f224(a899),f145(x91691,x91692,x91693)),f145(x91691,x91694,x91693)))+P1(f317(f317(f319(x91691),f649(x91694,x91692,x91693,x91691)),f317(f162(x91691),x91693)))
% 184.03/183.90 [9172]E(f317(f179(f900(x91721)),x91722),f317(f179(f900(x91721)),x91723))+~P1(f317(f317(f319(f905(f900(x91721),f900(x91721))),f317(f317(f242(f900(x91721),f900(x91721)),x91722),x91723)),f297(f900(x91721),f147(x91721,x91724))))
% 184.03/183.90 [9290]P1(f317(f317(f277(a899),x92901),x92902))+P1(f317(f317(f224(f906(a899,a895)),f280(a899,f277(a899),x92901,x92902)),f280(a899,f277(a899),x92903,x92904)))
% 184.03/183.90 [9413]~P24(x94131,x94132,x94133,x94134)+~P1(f317(f317(f225(a899),f317(f29(x94132),f317(f300(x94131,x94132,x94133),x94134))),f317(f29(x94131),x94134)))
% 184.03/183.90 [9460]~P1(f317(f317(f319(f905(f900(x94601),f900(x94601))),f317(f317(f242(f900(x94601),f900(x94601)),x94602),x94603)),f147(x94601,x94604)))+P1(f317(f317(f319(f905(f900(x94601),f900(x94601))),f317(f317(f242(f900(x94601),f900(x94601)),x94602),x94603)),f148(x94601,f297(x94601,x94604))))
% 184.03/183.90 [9464]~P1(f317(f317(f319(f905(f900(x94641),f900(x94641))),f317(f317(f242(f900(x94641),f900(x94641)),x94642),x94643)),f148(x94641,x94644)))+P1(f317(f317(f319(f905(f900(x94641),f900(x94641))),f317(f317(f242(f900(x94641),f900(x94641)),x94642),x94643)),f297(f900(x94641),f147(x94641,x94644))))
% 184.03/183.90 [9480]P1(f317(f317(f319(f905(x94801,x94801)),f317(f317(f242(x94801,x94801),x94802),x94803)),f297(x94801,x94804)))+~P1(f317(f317(f319(f905(x94801,x94801)),f317(f317(f242(x94801,x94801),x94802),x94803)),f317(f317(f279(x94801,x94801,x94801),x94804),f297(x94801,x94804))))
% 184.03/183.90 [9554]P1(f317(f317(f277(a899),x95541),x95542))+~P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x95543,x95544)),f280(a899,f277(a899),x95541,x95542)))
% 184.03/183.90 [9677]E(f317(f317(f124(x96771),f664(x96772,x96773,x96774,x96771)),f317(f317(f141(x96771),f665(x96772,x96773,x96774,x96771)),f670(x96772,x96773,x96774,x96771))),x96774)+~P1(f317(f317(f319(f905(f900(x96771),f900(x96771))),f317(f317(f242(f900(x96771),f900(x96771)),x96774),x96773)),f147(x96771,x96772)))
% 184.03/183.90 [9678]E(f317(f317(f124(x96781),f664(x96782,x96783,x96784,x96781)),f317(f317(f141(x96781),f666(x96782,x96783,x96784,x96781)),f670(x96782,x96783,x96784,x96781))),x96783)+~P1(f317(f317(f319(f905(f900(x96781),f900(x96781))),f317(f317(f242(f900(x96781),f900(x96781)),x96784),x96783)),f147(x96781,x96782)))
% 184.03/183.90 [9756]P1(f317(f317(f319(f905(x97561,x97561)),f317(f317(f242(x97561,x97561),x97562),f623(x97563,x97564,x97562,x97561))),f297(x97561,x97563)))+~P1(f317(f317(f319(f905(x97561,x97561)),f317(f317(f242(x97561,x97561),x97562),x97564)),f317(f317(f279(x97561,x97561,x97561),x97563),f297(x97561,x97563))))
% 184.03/183.90 [9824]P1(f317(f317(f224(a899),f145(x98241,x98242,x98243)),f145(x98241,x98244,x98243)))+~P1(f317(f317(f225(a899),f317(x98242,f649(x98244,x98242,x98243,x98241))),f317(x98244,f649(x98244,x98242,x98243,x98241))))
% 184.03/183.90 [9896]P1(f317(f317(f319(f905(x98961,x98961)),f317(f317(f242(x98961,x98961),f615(x98962,x98963,x98964,x98961)),x98963)),f297(x98961,x98962)))+~P1(f317(f317(f319(f905(x98961,x98961)),f317(f317(f242(x98961,x98961),x98964),x98963)),f317(f317(f279(x98961,x98961,x98961),x98962),f297(x98961,x98962))))
% 184.03/183.90 [5285]~E(x52852,x52853)+E(f160(x52851,x52852,f317(f317(f141(x52851),x52853),x52854)),x52854)
% 184.03/183.90 [5410]P1(f317(x54102,x54103))+E(f167(x54101,x54102,f317(f317(f141(x54101),x54103),x54104)),f103(x54101))
% 184.03/183.90 [5478]~P88(x54782)+E(f317(f317(f73(f906(x54781,x54782)),x54783),x54784),f317(f73(x54782),f317(x54783,x54784)))
% 184.03/183.90 [5491]~E(x54912,f2(a899))+E(f317(f317(f128(x54911),x54912),f317(f317(f141(x54911),x54913),x54914)),f317(f317(f141(x54911),x54913),x54914))
% 184.03/183.90 [5492]P1(f317(x54922,x54923))+E(f317(f126(x54921,x54922),f317(f317(f141(x54921),x54923),x54924)),f317(f126(x54921,x54922),x54924))
% 184.03/183.90 [5630]~E(x56302,x56304)+P1(f317(f317(f317(f299(x56301),x56302),x56303),x56304))
% 184.03/183.90 [5638]E(x56381,f103(x56382))+E(f134(x56383,f317(f317(f144(x56382,x56383),x56384),x56381)),f317(x56384,f134(x56382,x56381)))
% 184.03/183.90 [5652]~E(x56521,f57(x56522,x56524))+E(f317(x56521,f317(f317(f299(x56522),x56523),f178(f906(x56522,a895)))),x56523)
% 184.03/183.90 [5688]E(x56881,f103(x56882))+E(f317(f131(x56883),f317(f317(f144(x56882,x56883),x56884),x56881)),f317(x56884,f317(f131(x56882),x56881)))
% 184.03/183.90 [5791]~P1(f317(x57913,x57914))+P1(f317(f317(f317(f299(x57911),x57912),x57913),x57914))
% 184.03/183.90 [5919]~P18(x59192,x59194,x59191)+E(f317(x59191,f317(f317(f299(x59192),x59193),f178(f906(x59192,a895)))),x59193)
% 184.03/183.90 [5945]~E(x59452,x59453)+P1(f317(f317(f319(x59451),x59452),f317(f317(f299(x59451),x59453),x59454)))
% 184.03/183.90 [5950]~P120(x59501)+E(f317(f317(f75(x59501),x59502),f317(f317(f75(x59501),x59503),x59504)),f317(f317(f75(x59501),x59503),f317(f317(f75(x59501),x59502),x59504)))
% 184.03/183.90 [5951]~P120(x59511)+E(f317(f317(f74(x59511),x59512),f317(f317(f74(x59511),x59513),x59514)),f317(f317(f74(x59511),x59513),f317(f317(f74(x59511),x59512),x59514)))
% 184.03/183.90 [5953]~P107(x59531)+E(f317(f317(f228(x59531),x59532),f317(f317(f228(x59531),x59533),x59534)),f317(f317(f228(x59531),x59533),f317(f317(f228(x59531),x59532),x59534)))
% 184.03/183.90 [5955]~P97(x59551)+E(f317(f317(f91(x59551),x59552),f317(f317(f91(x59551),x59553),x59554)),f317(f317(f91(x59551),x59553),f317(f317(f91(x59551),x59552),x59554)))
% 184.03/183.90 [5956]~P98(x59561)+E(f317(f317(f91(x59561),x59562),f317(f317(f91(x59561),x59563),x59564)),f317(f317(f91(x59561),x59563),f317(f317(f91(x59561),x59562),x59564)))
% 184.03/183.90 [5958]~P107(x59581)+E(f317(f317(f223(x59581),x59582),f317(f317(f223(x59581),x59583),x59584)),f317(f317(f223(x59581),x59583),f317(f317(f223(x59581),x59582),x59584)))
% 184.03/183.90 [5959]~P98(x59591)+E(f317(f317(f92(x59591),x59592),f317(f317(f92(x59591),x59593),x59594)),f317(f317(f92(x59591),x59593),f317(f317(f92(x59591),x59592),x59594)))
% 184.03/183.90 [5961]~P103(x59611)+E(f317(f317(f92(x59611),x59612),f317(f317(f92(x59611),x59613),x59614)),f317(f317(f92(x59611),x59613),f317(f317(f92(x59611),x59612),x59614)))
% 184.03/183.90 [5968]E(x59681,x59682)+E(f160(x59683,x59681,f317(f317(f141(x59683),x59682),x59684)),f317(f317(f141(x59683),x59682),f160(x59683,x59681,x59684)))
% 184.03/183.90 [5983]~P1(f317(x59832,x59833))+E(f317(f126(x59831,x59832),f317(f317(f141(x59831),x59833),x59834)),f317(f317(f141(x59831),x59833),f317(f126(x59831,x59832),x59834)))
% 184.03/183.90 [6123]~P1(f317(x61232,x61233))+E(f167(x61231,x61232,f317(f317(f141(x61231),x61233),x61234)),f317(f317(f141(x61231),x61233),f167(x61231,x61232,x61234)))
% 184.03/183.90 [6187]E(x61871,f178(f906(x61872,a895)))+E(f317(f317(f34(x61872,f906(x61873,a895)),x61871),f317(f18(f906(x61873,a895),x61872),x61874)),x61874)
% 184.03/183.90 [6188]E(x61881,f178(f906(x61882,a895)))+E(f317(f317(f35(x61882,f906(x61883,a895)),x61881),f317(f18(f906(x61883,a895),x61882),x61884)),x61884)
% 184.03/183.90 [6197]~E(x61974,f178(f906(x61972,a895)))+E(f317(f317(f244(x61971,x61972),x61973),f317(f18(f906(x61972,a895),x61971),x61974)),f178(f906(f905(x61971,x61972),a895)))
% 184.03/183.90 [6198]~E(x61983,f178(f906(x61981,a895)))+E(f317(f317(f244(x61981,x61982),x61983),f317(f18(f906(x61982,a895),x61981),x61984)),f178(f906(f905(x61981,x61982),a895)))
% 184.03/183.90 [6254]E(x62541,f2(a899))+E(f317(f317(f128(x62542),x62541),f317(f317(f141(x62542),x62543),x62544)),f317(f317(f128(x62542),f317(f317(f3(a899),x62541),f72(a899))),x62544))
% 184.03/183.90 [6275]E(x62751,f178(f906(x62752,a895)))+E(f317(f300(x62752,x62753,f317(f18(x62753,x62752),x62754)),x62751),f317(f317(f299(x62753),x62754),f178(f906(x62753,a895))))
% 184.03/183.90 [6278]E(f317(f301(x62781,x62782,f317(f18(x62782,x62781),x62783)),x62784),f178(f906(x62781,a895)))+P1(f317(f317(f319(x62782),x62783),x62784))
% 184.03/183.90 [6346]~E(x63463,f178(f906(x63461,a895)))+E(f317(f317(f34(x63461,f906(x63462,a895)),x63463),f317(f18(f906(x63462,a895),x63461),x63464)),f232(f906(x63462,a895)))
% 184.03/183.90 [6347]~E(x63473,f178(f906(x63471,a895)))+E(f317(f317(f35(x63471,f906(x63472,a895)),x63473),f317(f18(f906(x63472,a895),x63471),x63474)),f178(f906(x63472,a895)))
% 184.03/183.90 [6349]~P3(x63491)+E(f40(x63491,f317(f317(f75(x63491),x63492),x63493),f317(f317(f75(x63491),x63492),x63494)),f317(f317(f75(x63491),x63492),f40(x63491,x63493,x63494)))
% 184.03/183.90 [6524]E(f317(f301(x65241,x65242,f317(f18(x65242,x65241),x65243)),x65244),f232(f906(x65241,a895)))+~P1(f317(f317(f319(x65242),x65243),x65244))
% 184.03/183.90 [6547]~P1(f317(f317(f319(x65471),x65472),x65474))+P1(f317(f317(f319(x65471),x65472),f317(f317(f299(x65471),x65473),x65474)))
% 184.03/183.90 [6552]P1(f317(x65521,x65522))+~P1(f317(f150(x65523,x65521),f317(f317(f141(x65523),x65522),x65524)))
% 184.03/183.90 [6561]~E(x65613,f317(f317(f3(a899),f317(f179(f900(x65611)),x65612)),f72(a899)))+E(f104(x65611,f317(f317(f149(x65611,x65612),x65613),x65614)),f104(x65611,x65612))
% 184.03/183.90 [6584]~P107(x65841)+E(f317(f317(f92(f906(x65841,a895)),f317(f291(x65841),x65842)),f293(x65841,x65843,x65844)),f293(x65841,x65843,f317(f317(f228(x65841),x65842),x65844)))
% 184.03/183.90 [6585]~P107(x65851)+E(f317(f317(f92(f906(x65851,a895)),f317(f273(x65851),x65852)),f293(x65851,x65853,x65854)),f293(x65851,f317(f317(f223(x65851),x65852),x65853),x65854))
% 184.03/183.90 [6601]E(f317(f317(f92(f906(x66011,a895)),x66012),f317(f317(f299(x66011),x66013),x66014)),f317(f317(f92(f906(x66011,a895)),x66012),x66014))+P1(f317(f317(f319(x66011),x66013),x66012))
% 184.03/183.90 [6613]E(f160(x66131,x66132,f317(f317(f124(x66131),x66133),x66134)),f317(f317(f124(x66131),x66133),f160(x66131,x66132,x66134)))+P1(f317(f317(f319(x66131),x66132),f317(f162(x66131),x66133)))
% 184.03/183.90 [6618]~P80(x66181)+E(f317(f317(f75(x66181),f317(f317(f234(x66181),x66182),x66183)),f317(f317(f234(x66181),x66182),x66184)),f317(f317(f234(x66181),x66182),f317(f317(f74(a899),x66183),x66184)))
% 184.03/183.90 [6619]~P120(x66191)+E(f317(f317(f75(x66191),f317(f317(f234(x66191),x66192),x66193)),f317(f317(f234(x66191),x66192),x66194)),f317(f317(f234(x66191),x66192),f317(f317(f74(a899),x66193),x66194)))
% 184.03/183.90 [6656]~P120(x66561)+E(f317(f317(f74(x66561),f317(f317(f75(x66561),x66562),x66563)),f317(f317(f75(x66561),x66562),x66564)),f317(f317(f75(x66561),x66562),f317(f317(f74(x66561),x66563),x66564)))
% 184.03/183.90 [6657]~P107(x66571)+E(f317(f317(f223(x66571),f317(f317(f228(x66571),x66572),x66573)),f317(f317(f228(x66571),x66572),x66574)),f317(f317(f228(x66571),x66572),f317(f317(f223(x66571),x66573),x66574)))
% 184.03/183.90 [6658]~P101(x66581)+E(f317(f317(f92(x66581),f317(f317(f91(x66581),x66582),x66583)),f317(f317(f91(x66581),x66582),x66584)),f317(f317(f91(x66581),x66582),f317(f317(f92(x66581),x66583),x66584)))
% 184.03/183.90 [6659]~P107(x66591)+E(f317(f317(f228(x66591),f317(f317(f223(x66591),x66592),x66593)),f317(f317(f223(x66591),x66592),x66594)),f317(f317(f223(x66591),x66592),f317(f317(f228(x66591),x66593),x66594)))
% 184.03/183.90 [6660]~P101(x66601)+E(f317(f317(f91(x66601),f317(f317(f92(x66601),x66602),x66603)),f317(f317(f92(x66601),x66602),x66604)),f317(f317(f92(x66601),x66602),f317(f317(f91(x66601),x66603),x66604)))
% 184.03/183.90 [6694]~P3(x66941)+E(f40(x66941,f317(f317(f75(x66941),x66942),x66943),f317(f317(f75(x66941),x66944),x66943)),f317(f317(f75(x66941),f40(x66941,x66942,x66944)),x66943))
% 184.03/183.90 [6697]~E(f317(f179(f900(x66971)),x66973),f317(f179(f900(x66972)),x66974))+E(f317(f317(f144(f905(x66971,x66972),x66972),f246(x66971,x66972)),f317(f317(f171(x66971,x66972),x66973),x66974)),x66974)
% 184.03/183.90 [6698]~E(f317(f179(f900(x66981)),x66983),f317(f179(f900(x66982)),x66984))+E(f317(f317(f144(f905(x66981,x66982),x66981),f241(x66981,x66982)),f317(f317(f171(x66981,x66982),x66983),x66984)),x66983)
% 184.03/183.90 [6703]P1(f317(f150(x67031,x67032),x67033))+~P1(f317(f150(x67031,x67032),f317(f317(f141(x67031),x67034),x67033)))
% 184.03/183.90 [6704]P1(f317(f150(x67041,x67042),x67043))+~P1(f317(f150(x67041,x67042),f317(f317(f124(x67041),x67044),x67043)))
% 184.03/183.90 [6705]P1(f317(f150(x67051,x67052),x67053))+~P1(f317(f150(x67051,x67052),f317(f317(f124(x67051),x67053),x67054)))
% 184.03/183.90 [6710]~P4(x67101)+E(f40(x67101,f317(f317(f3(x67101),x67102),f40(x67101,x67103,x67104)),x67104),f40(x67101,f317(f317(f3(x67101),x67102),x67103),x67104))
% 184.03/183.90 [6711]~P3(x67111)+E(f40(x67111,f317(f317(f75(x67111),x67112),f40(x67111,x67113,x67114)),x67114),f40(x67111,f317(f317(f75(x67111),x67112),x67113),x67114))
% 184.03/183.90 [6713]~P3(x67131)+E(f40(x67131,f317(f317(f74(x67131),x67132),f40(x67131,x67133,x67134)),x67134),f40(x67131,f317(f317(f74(x67131),x67132),x67133),x67134))
% 184.03/183.90 [6796]~P107(x67961)+E(f317(f317(f92(f906(x67961,a895)),f293(x67961,x67962,x67963)),f317(f291(x67961),x67964)),f293(x67961,x67962,f317(f317(f228(x67961),x67963),x67964)))
% 184.03/183.90 [6797]~P107(x67971)+E(f317(f317(f92(f906(x67971,a895)),f293(x67971,x67972,x67973)),f317(f273(x67971),x67974)),f293(x67971,f317(f317(f223(x67971),x67972),x67974),x67973))
% 184.03/183.90 [6800]~E(f317(f179(f900(x68001)),x68003),f317(f179(f900(x68002)),x68004))+E(f317(f317(f171(x68001,x68002),f317(f158(x68001),x68003)),f317(f158(x68002),x68004)),f317(f158(f905(x68001,x68002)),f317(f317(f171(x68001,x68002),x68003),x68004)))
% 184.03/183.90 [6812]E(x68121,f317(f317(f3(a899),f317(f179(f900(x68122)),x68123)),f72(a899)))+E(f104(x68122,f317(f317(f149(x68122,x68123),x68121),x68124)),f317(f317(f149(x68122,f104(x68122,x68123)),x68121),x68124))
% 184.03/183.90 [6827]~P1(f317(f127(x68272),x68274))+P1(f317(f127(f905(x68271,x68272)),f317(f317(f171(x68271,x68272),x68273),x68274)))
% 184.03/183.90 [6828]~P1(f317(f127(x68281),x68283))+P1(f317(f127(f905(x68281,x68282)),f317(f317(f171(x68281,x68282),x68283),x68284)))
% 184.03/183.90 [7099]E(f317(f317(f30(a899),x70991),x70992),x70993)+~P1(f317(f43(x70991,x70992),f317(f317(f242(a899,a899),x70993),x70994)))
% 184.03/183.90 [7123]E(f40(a899,x71231,x71232),x71233)+~P1(f317(f43(x71231,x71232),f317(f317(f242(a899,a899),x71234),x71233)))
% 184.03/183.90 [7126]P1(f317(f127(x71261),x71262))+~P1(f317(f127(x71263),f317(f317(f144(x71261,x71263),x71264),x71262)))
% 184.03/183.90 [7209]E(f160(x72091,x72092,f317(f317(f124(x72091),x72093),x72094)),f317(f317(f124(x72091),f160(x72091,x72092,x72093)),x72094))+~P1(f317(f317(f319(x72091),x72092),f317(f162(x72091),x72093)))
% 184.03/183.90 [7302]~P4(x73021)+E(f40(x73021,f317(f317(f3(x73021),f40(x73021,x73022,x73023)),x73024),x73023),f40(x73021,f317(f317(f3(x73021),x73022),x73024),x73023))
% 184.03/183.90 [7305]~P3(x73051)+E(f40(x73051,f317(f317(f75(x73051),f40(x73051,x73052,x73053)),x73054),x73053),f40(x73051,f317(f317(f75(x73051),x73052),x73054),x73053))
% 184.03/183.90 [7306]~P3(x73061)+E(f40(x73061,f317(f317(f74(x73061),f40(x73061,x73062,x73063)),x73064),x73063),f40(x73061,f317(f317(f74(x73061),x73062),x73064),x73063))
% 184.03/183.90 [7500]~E(x75001,f317(f317(f141(x75002),x75003),x75004))+~P1(f317(f317(f224(a899),f317(f179(f900(x75002)),x75001)),f317(f179(f900(x75002)),x75004)))
% 184.03/183.90 [7704]P24(x77041,x77042,x77043,f317(f162(x77041),x77044))+~P1(f317(f127(x77042),f317(f317(f144(x77041,x77042),x77043),x77044)))
% 184.03/183.90 [7779]~P1(f317(f317(f224(f906(x77791,a895)),x77792),x77794))+P1(f317(f317(f224(f906(x77791,a895)),x77792),f317(f317(f299(x77791),x77793),x77794)))
% 184.03/183.90 [7815]~P4(x78151)+E(f40(x78151,f317(f317(f3(x78151),f40(x78151,x78152,x78153)),f40(x78151,x78154,x78153)),x78153),f40(x78151,f317(f317(f3(x78151),x78152),x78154),x78153))
% 184.03/183.90 [7816]~P3(x78161)+E(f40(x78161,f317(f317(f75(x78161),f40(x78161,x78162,x78163)),f40(x78161,x78164,x78163)),x78163),f40(x78161,f317(f317(f75(x78161),x78162),x78164),x78163))
% 184.03/183.90 [7817]~P3(x78171)+E(f40(x78171,f317(f317(f74(x78171),f40(x78171,x78172,x78173)),f40(x78171,x78174,x78173)),x78173),f40(x78171,f317(f317(f74(x78171),x78172),x78174),x78173))
% 184.03/183.90 [7921]~E(f317(x79214,f449(x79214,x79213,x79211,x79212)),f178(f906(x79212,a895)))+E(f317(f317(f35(x79211,f906(x79212,a895)),x79213),x79214),f178(f906(x79212,a895)))
% 184.03/183.90 [7922]~E(f317(x79224,f450(x79224,x79223,x79221,x79222)),f232(f906(x79222,a895)))+E(f317(f317(f34(x79221,f906(x79222,a895)),x79223),x79224),f232(f906(x79222,a895)))
% 184.03/183.90 [7923]~E(f317(x79234,f465(x79234,x79233,x79232,x79231)),f232(f906(x79232,a895)))+E(f317(f317(f34(x79231,f906(x79232,a895)),x79233),x79234),f232(f906(x79232,a895)))
% 184.03/183.90 [7924]~E(f317(x79244,f466(x79244,x79243,x79242,x79241)),f178(f906(x79242,a895)))+E(f317(f317(f35(x79241,f906(x79242,a895)),x79243),x79244),f178(f906(x79242,a895)))
% 184.03/183.90 [8314]P1(f317(x83141,x83142))+~P1(f317(f317(f319(x83143),x83142),f317(f317(f92(f906(x83143,a895)),x83144),f317(f252(x83143),x83141))))
% 184.03/183.90 [8351]~P1(f317(f317(f224(f906(x83511,a895)),x83513),x83514))+P1(f317(f317(f224(f906(x83511,a895)),f317(f317(f299(x83511),x83512),x83513)),f317(f317(f299(x83511),x83512),x83514)))
% 184.03/183.90 [8532]P1(f317(x85322,x85323))+E(f317(f317(f128(x85321),f317(f179(f900(x85321)),f167(x85321,x85322,f317(f317(f141(x85321),x85323),x85324)))),f317(f317(f141(x85321),x85323),x85324)),f317(f317(f141(x85321),x85323),x85324))
% 184.03/183.90 [8638]~P1(f317(f317(f225(a899),f317(x86384,x86382)),f317(x86384,x86383)))+P1(f317(f317(f319(f905(x86381,x86381)),f317(f317(f242(x86381,x86381),x86382),x86383)),f317(f317(f278(a899,x86381),a230),x86384)))
% 184.03/183.90 [8734]~P1(f317(x87342,f723(x87344,x87342,x87343,x87341)))+E(f167(x87341,x87342,f317(f317(f124(x87341),x87343),x87344)),f317(f317(f124(x87341),x87343),f167(x87341,x87342,x87344)))
% 184.03/183.90 [8811]P24(f900(x88111),f900(x88112),f317(f144(x88111,x88112),x88113),x88114)+~P24(x88111,x88112,x88113,f31(f906(x88111,a895),f317(f300(f900(x88111),f906(x88111,a895),f162(x88111)),x88114)))
% 184.03/183.90 [8886]~P1(f317(x88862,x88863))+E(f317(f317(f128(x88861),f317(f179(f900(x88861)),f167(x88861,x88862,f317(f317(f141(x88861),x88863),x88864)))),f317(f317(f141(x88861),x88863),x88864)),f317(f317(f128(x88861),f317(f179(f900(x88861)),f167(x88861,x88862,x88864))),x88864))
% 184.03/183.90 [8927]~E(x89272,x89273)+E(f317(f126(x89271,f317(f317(f10(a895,a895,x89271),a312),f317(a314,x89272))),f317(f317(f141(x89271),x89273),x89274)),f317(f126(x89271,f317(f317(f10(a895,a895,x89271),a312),f317(a314,x89272))),x89274))
% 184.03/183.90 [8937]E(f317(f317(f35(x89371,f906(x89372,a895)),x89373),x89374),f178(f906(x89372,a895)))+P1(f317(f317(f319(x89371),f449(x89374,x89373,x89371,x89372)),x89373))
% 184.03/183.90 [8938]E(f317(f317(f34(x89381,f906(x89382,a895)),x89383),x89384),f232(f906(x89382,a895)))+P1(f317(f317(f319(x89381),f450(x89384,x89383,x89381,x89382)),x89383))
% 184.03/183.90 [8939]E(f317(f317(f34(x89391,f906(x89392,a895)),x89393),x89394),f232(f906(x89392,a895)))+P1(f317(f317(f319(x89391),f465(x89394,x89393,x89392,x89391)),x89393))
% 184.03/183.90 [8940]E(f317(f317(f35(x89401,f906(x89402,a895)),x89403),x89404),f178(f906(x89402,a895)))+P1(f317(f317(f319(x89401),f466(x89404,x89403,x89402,x89401)),x89403))
% 184.03/183.90 [8978]P1(f317(f317(f225(a899),f317(x89781,x89782)),f317(x89781,x89783)))+~P1(f317(f317(f319(f905(x89784,x89784)),f317(f317(f242(x89784,x89784),x89782),x89783)),f317(f317(f278(a899,x89784),a230),x89781)))
% 184.03/183.90 [9004]E(f167(x90041,x90042,f317(f317(f124(x90041),x90043),x90044)),f317(f317(f124(x90041),x90043),f167(x90041,x90042,x90044)))+P1(f317(f317(f319(x90041),f723(x90044,x90042,x90043,x90041)),f317(f162(x90041),x90043)))
% 184.03/183.90 [9055]~P25(x90551,x90552,x90553,f232(f906(x90551,a895)),f232(f906(x90552,a895)))+E(f317(f300(x90551,x90552,x90553),f317(f73(f906(x90551,a895)),x90554)),f317(f73(f906(x90552,a895)),f317(f300(x90551,x90552,x90553),x90554)))
% 184.03/183.90 [9158]P1(f317(f317(f319(x91581),f496(x91582,x91583,x91584,x91581)),x91583))+~P1(f317(f317(f319(f906(x91581,a895)),x91584),f317(f317(f55(x91581),x91583),x91582)))
% 184.03/183.90 [9161]E(x91611,x91612)+~P1(f317(f317(f319(f905(x91613,x91613)),f317(f317(f242(x91613,x91613),x91611),x91612)),f317(f317(f173(f905(x91613,x91613),a895),f2(a899)),x91614)))
% 184.03/183.90 [9242]E(f317(f275(x92421,x92421,x92422),f317(f317(f299(x92421),f496(x92422,x92423,x92424,x92421)),f178(f906(x92421,a895)))),x92424)+~P1(f317(f317(f319(f906(x92421,a895)),x92424),f317(f317(f55(x92421),x92423),x92422)))
% 184.03/183.90 [9247]~P1(f317(f317(f319(f905(x92471,x92471)),f317(f317(f242(x92471,x92471),x92473),x92472)),f297(x92471,x92474)))+P1(f317(f317(f319(f905(x92471,x92471)),f317(f317(f242(x92471,x92471),x92472),x92473)),f297(x92471,f317(f276(x92471,x92471),x92474))))
% 184.03/183.90 [9260]~P3(x92601)+E(f317(f317(f74(x92601),f317(f317(f74(x92601),f317(f317(f75(x92601),x92602),f317(f317(f30(x92601),x92603),x92602))),f40(x92601,x92603,x92602))),x92604),f317(f317(f74(x92601),x92603),x92604))
% 184.03/183.90 [9271]~P1(f317(f317(f319(x92711),x92713),x92714))+P1(f317(f317(f319(f906(x92711,a895)),f317(f275(x92711,x92711,x92712),f317(f317(f299(x92711),x92713),f178(f906(x92711,a895))))),f317(f317(f55(x92711),x92714),x92712)))
% 184.03/183.90 [9283]P1(f317(f317(f319(f905(x92831,x92831)),f317(f317(f242(x92831,x92831),x92832),x92833)),f297(x92831,x92834)))+~P1(f317(f317(f319(f905(x92831,x92831)),f317(f317(f242(x92831,x92831),x92833),x92832)),f297(x92831,f317(f276(x92831,x92831),x92834))))
% 184.03/183.90 [9371]E(f317(f317(f149(x93711,f317(f158(x93711),x93712)),f317(f317(f3(a899),f317(f317(f3(a899),f317(f179(f900(x93711)),x93712)),x93713)),f72(a899))),x93714),f317(f158(x93711),f317(f317(f149(x93711,x93712),x93713),x93714)))+~P1(f317(f317(f225(a899),x93713),f317(f179(f900(x93711)),x93712)))
% 184.03/183.90 [9374]~P1(f317(x93742,f717(x93744,x93742,x93743,x93741)))+E(f317(f317(f128(x93741),f317(f179(f900(x93741)),f167(x93741,x93742,f317(f317(f124(x93741),x93743),x93744)))),f317(f317(f124(x93741),x93743),x93744)),f317(f317(f128(x93741),f317(f179(f900(x93741)),f167(x93741,x93742,x93744))),x93744))
% 184.03/183.90 [9421]~P24(x94212,x94211,x94213,f232(f906(x94212,a895)))+P1(f317(f317(f224(f906(x94211,a895)),f317(f300(x94212,x94211,x94213),f317(f73(f906(x94212,a895)),x94214))),f317(f73(f906(x94211,a895)),f317(f300(x94212,x94211,x94213),x94214))))
% 184.03/183.90 [9433]~P5(x94331)+E(f317(f132(x94331,x94332,f317(f9(x94332,x94331,x94331),f317(f317(f10(x94331,f906(x94331,x94331),x94332),f92(x94331)),x94333)),f232(x94331)),x94334),f317(f317(f34(x94332,x94331),f317(f162(x94332),x94334)),x94333))
% 184.03/183.90 [9434]~P5(x94341)+E(f317(f132(x94341,x94342,f317(f9(x94342,x94341,x94341),f317(f317(f10(x94341,f906(x94341,x94341),x94342),f91(x94341)),x94343)),f178(x94341)),x94344),f317(f317(f35(x94342,x94341),f317(f162(x94342),x94344)),x94343))
% 184.03/183.90 [9444]E(f317(f317(f128(x94441),f317(f179(f900(x94441)),f167(x94441,x94442,f317(f317(f124(x94441),x94443),x94444)))),f317(f317(f124(x94441),x94443),x94444)),f317(f317(f128(x94441),f317(f179(f900(x94441)),f167(x94441,x94442,x94444))),x94444))+P1(f317(f317(f319(x94441),f717(x94444,x94442,x94443,x94441)),f317(f162(x94441),x94443)))
% 184.03/183.90 [9514]~P1(f317(f317(f319(f905(f900(x95144),f900(x95144))),f317(f317(f242(f900(x95144),f900(x95144)),x95143),x95142)),f147(x95144,x95141)))+P1(f317(f317(f225(a899),f650(x95141,x95142,x95143,x95144)),f317(f179(f900(x95144)),x95143)))
% 184.03/183.90 [9515]~P3(x95151)+E(f317(f317(f74(x95151),f317(f317(f74(x95151),f317(f317(f75(x95151),f317(f317(f30(x95151),x95152),x95153)),x95153)),f40(x95151,x95152,x95153))),x95154),f317(f317(f74(x95151),x95152),x95154))
% 184.03/183.90 [9544]~P1(f317(f317(f319(f905(f900(x95441),f900(x95441))),f317(f317(f242(f900(x95441),f900(x95441)),x95442),x95443)),f317(f276(f900(x95441),f900(x95441)),f147(x95441,x95444))))+P1(f317(f317(f319(f905(f900(x95441),f900(x95441))),f317(f317(f242(f900(x95441),f900(x95441)),x95442),x95443)),f147(x95441,f317(f276(x95441,x95441),x95444))))
% 184.03/183.90 [9545]P1(f317(f317(f319(f905(f900(x95451),f900(x95451))),f317(f317(f242(f900(x95451),f900(x95451)),x95452),x95453)),f317(f276(f900(x95451),f900(x95451)),f147(x95451,x95454))))+~P1(f317(f317(f319(f905(f900(x95451),f900(x95451))),f317(f317(f242(f900(x95451),f900(x95451)),x95452),x95453)),f147(x95451,f317(f276(x95451,x95451),x95454))))
% 184.03/183.90 [9589]~P1(f317(f317(f319(x95891),x95893),f317(f254(x95891,x95892),x95894)))+P1(f317(f317(f319(f905(x95891,x95892)),f317(f317(f242(x95891,x95892),x95893),f552(x95894,x95892,x95893,x95891))),x95894))
% 184.03/183.90 [9590]~P1(f317(f317(f319(x95901),x95903),f317(f254(x95901,x95902),x95904)))+P1(f317(f317(f319(f905(x95901,x95902)),f317(f317(f242(x95901,x95902),x95903),f556(x95904,x95902,x95903,x95901))),x95904))
% 184.03/183.90 [9751]~P1(f317(f317(f319(f905(x97511,x97511)),f317(f317(f242(x97511,x97511),x97512),x97514)),f317(f317(f279(x97511,x97511,x97511),x97513),f297(x97511,x97513))))+P1(f317(f317(f319(f905(x97511,x97511)),f317(f317(f242(x97511,x97511),x97512),f615(x97513,x97514,x97512,x97511))),x97513))
% 184.03/183.90 [9910]P11(x99101,x99102,x99103,x99104)+P1(f317(f317(f319(f905(x99101,x99101)),f317(f317(f242(x99101,x99101),f826(x99102,x99104,x99103,x99101)),f825(x99102,x99104,x99103,x99101))),x99103))
% 184.03/183.90 [9917]~P1(f317(f317(f319(f905(x99172,x99171)),x99174),f317(f276(x99171,x99172),x99173)))+P1(f317(f317(f319(f905(x99171,x99172)),f317(f317(f242(x99171,x99172),f625(x99173,x99174,x99171,x99172)),f624(x99173,x99174,x99171,x99172))),x99173))
% 184.03/183.90 [9941]~P1(f317(f317(f319(f905(f900(x99411),f900(x99411))),f317(f317(f242(f900(x99411),f900(x99411)),x99414),x99413)),f147(x99411,x99412)))+P1(f317(f317(f319(f905(x99411,x99411)),f317(f317(f242(x99411,x99411),f665(x99412,x99413,x99414,x99411)),f666(x99412,x99413,x99414,x99411))),x99412))
% 184.03/183.90 [10031]~P1(f317(f317(f319(f905(f900(x100311),f900(x100311))),f317(f317(f242(f900(x100311),f900(x100311)),x100312),x100314)),f147(x100311,x100313)))+P1(f317(f317(f319(f905(x100311,x100311)),f317(f317(f242(x100311,x100311),f317(f317(f154(x100311),x100312),f650(x100313,x100314,x100312,x100311))),f651(x100313,x100314,x100312,x100311))),x100313))
% 184.03/183.90 [10051]~P1(f317(f28(x100512),x100514))+E(f317(f317(f317(f59(f906(x100511,a895),x100512,f91(f906(x100511,a895))),f317(f317(f9(x100512,f906(x100511,a895),f906(x100511,a895)),f317(f317(f10(x100511,f906(f906(x100511,a895),f906(x100511,a895)),x100512),f299(x100511)),x100513)),f178(f906(x100511,a895)))),f178(f906(x100511,a895))),x100514),f317(f300(x100512,x100511,x100513),x100514))
% 184.03/183.90 [10162]~P24(x101621,x101622,x101623,f232(f906(x101621,a895)))+P1(f317(f317(f224(f906(x101621,a895)),f317(f301(x101621,x101622,x101623),f317(f317(f299(x101622),x101624),f178(f906(x101622,a895))))),f317(f317(f299(x101621),f79(x101621,f317(f317(f9(x101621,x101622,a895),f317(f317(f10(x101622,f906(x101622,a895),x101621),a314),x101623)),x101624))),f178(f906(x101621,a895)))))
% 184.03/183.90 [5699]~E(f317(f317(f124(x56991),x56992),x56994),x56993)+E(f317(f317(f165(x56991),f317(f179(f900(x56991)),x56992)),x56993),x56992)
% 184.03/183.90 [5700]~E(f317(f317(f124(x57002),x57003),x57001),x57004)+E(x57001,f317(f317(f128(x57002),f317(f179(f900(x57002)),x57003)),x57004))
% 184.03/183.90 [5711]~E(x57114,f2(a899))+E(f317(f317(f154(x57111),f317(f317(f141(x57111),x57112),x57113)),x57114),x57112)
% 184.03/183.90 [6267]~P120(x62671)+E(f317(f317(f234(x62671),f317(f317(f234(x62671),x62672),x62673)),x62674),f317(f317(f234(x62671),x62672),f317(f317(f75(a899),x62673),x62674)))
% 184.03/183.90 [6268]~P80(x62681)+E(f317(f317(f234(x62681),f317(f317(f234(x62681),x62682),x62683)),x62684),f317(f317(f234(x62681),x62682),f317(f317(f75(a899),x62683),x62684)))
% 184.03/183.90 [6276]E(x62761,f2(a899))+E(f317(f317(f154(x62762),f317(f317(f141(x62762),x62763),x62764)),x62761),f317(f317(f154(x62762),x62764),f317(f317(f3(a899),x62761),f72(a899))))
% 184.03/183.90 [6303]~P124(x63031)+E(f317(f317(f281(x63031),f317(f317(f75(x63031),x63032),x63033)),x63034),f317(f317(f75(x63031),x63032),f317(f317(f281(x63031),x63033),x63034)))
% 184.03/183.90 [6305]~P68(x63051)+E(f317(f317(f75(x63051),f317(f317(f75(x63051),x63052),x63053)),x63054),f317(f317(f75(x63051),x63052),f317(f317(f75(x63051),x63053),x63054)))
% 184.03/183.90 [6306]~P120(x63061)+E(f317(f317(f75(x63061),f317(f317(f75(x63061),x63062),x63063)),x63064),f317(f317(f75(x63061),x63062),f317(f317(f75(x63061),x63063),x63064)))
% 184.03/183.90 [6308]~P69(x63081)+E(f317(f317(f74(x63081),f317(f317(f74(x63081),x63082),x63083)),x63084),f317(f317(f74(x63081),x63082),f317(f317(f74(x63081),x63083),x63084)))
% 184.03/183.90 [6309]~P120(x63091)+E(f317(f317(f74(x63091),f317(f317(f74(x63091),x63092),x63093)),x63094),f317(f317(f74(x63091),x63092),f317(f317(f74(x63091),x63093),x63094)))
% 184.03/183.90 [6311]~P107(x63111)+E(f317(f317(f228(x63111),f317(f317(f228(x63111),x63112),x63113)),x63114),f317(f317(f228(x63111),x63112),f317(f317(f228(x63111),x63113),x63114)))
% 184.03/183.90 [6313]~P97(x63131)+E(f317(f317(f91(x63131),f317(f317(f91(x63131),x63132),x63133)),x63134),f317(f317(f91(x63131),x63132),f317(f317(f91(x63131),x63133),x63134)))
% 184.03/183.90 [6314]~P98(x63141)+E(f317(f317(f91(x63141),f317(f317(f91(x63141),x63142),x63143)),x63144),f317(f317(f91(x63141),x63142),f317(f317(f91(x63141),x63143),x63144)))
% 184.03/183.90 [6316]~P107(x63161)+E(f317(f317(f223(x63161),f317(f317(f223(x63161),x63162),x63163)),x63164),f317(f317(f223(x63161),x63162),f317(f317(f223(x63161),x63163),x63164)))
% 184.03/183.90 [6317]~P98(x63171)+E(f317(f317(f92(x63171),f317(f317(f92(x63171),x63172),x63173)),x63174),f317(f317(f92(x63171),x63172),f317(f317(f92(x63171),x63173),x63174)))
% 184.03/183.90 [6319]~P103(x63191)+E(f317(f317(f92(x63191),f317(f317(f92(x63191),x63192),x63193)),x63194),f317(f317(f92(x63191),x63192),f317(f317(f92(x63191),x63193),x63194)))
% 184.03/183.90 [6328]~P3(x63281)+E(f40(x63281,f317(f317(f74(x63281),x63282),f317(f317(f75(x63281),x63283),x63284)),x63284),f40(x63281,x63282,x63284))
% 184.03/183.90 [6329]~P3(x63291)+E(f40(x63291,f317(f317(f74(x63291),x63292),f317(f317(f75(x63291),x63293),x63294)),x63293),f40(x63291,x63292,x63293))
% 184.03/183.90 [6471]E(f317(f317(f154(x64711),f317(f317(f165(x64711),x64712),x64713)),x64714),f317(f317(f154(x64711),x64713),x64714))+~P1(f317(f317(f225(a899),x64714),x64712))
% 184.03/183.90 [6652]~E(x66522,x66524)+P1(f317(f317(f162(x66521),f317(f317(f141(x66521),x66522),x66523)),x66524))
% 184.03/183.90 [6654]~P120(x66541)+E(f317(f317(f75(x66541),f317(f317(f75(x66541),x66542),x66543)),x66544),f317(f317(f75(x66541),f317(f317(f75(x66541),x66542),x66544)),x66543))
% 184.03/183.90 [6655]~P120(x66551)+E(f317(f317(f74(x66551),f317(f317(f74(x66551),x66552),x66553)),x66554),f317(f317(f74(x66551),f317(f317(f74(x66551),x66552),x66554)),x66553))
% 184.03/183.90 [6716]~P145(x67162)+E(f317(f317(f8(x67161,x67162),f317(f18(x67162,x67161),x67163)),x67164),f317(f317(f75(x67162),f317(f90(x67162),f317(f29(x67161),x67164))),x67163))
% 184.03/183.90 [6893]E(f317(f317(f92(f906(x68931,a895)),f317(f317(f299(x68931),x68932),x68933)),x68934),f317(f317(f92(f906(x68931,a895)),x68933),x68934))+P1(f317(f317(f319(x68931),x68932),x68934))
% 184.03/183.90 [6962]~P78(x69621)+E(f317(f317(f228(x69621),f317(f317(f3(x69621),x69622),x69623)),f317(f317(f3(x69621),x69624),x69623)),f317(f317(f3(x69621),f317(f317(f228(x69621),x69622),x69624)),x69623))
% 184.03/183.90 [6963]~P78(x69631)+E(f317(f317(f223(x69631),f317(f317(f3(x69631),x69632),x69633)),f317(f317(f3(x69631),x69634),x69633)),f317(f317(f3(x69631),f317(f317(f223(x69631),x69632),x69634)),x69633))
% 184.03/183.90 [6964]~P114(x69641)+E(f317(f317(f74(x69641),f317(f317(f75(x69641),x69642),x69643)),f317(f317(f75(x69641),x69644),x69643)),f317(f317(f75(x69641),f317(f317(f74(x69641),x69642),x69644)),x69643))
% 184.03/183.90 [6966]~P83(x69661)+E(f317(f317(f228(x69661),f317(f317(f74(x69661),x69662),x69663)),f317(f317(f74(x69661),x69664),x69663)),f317(f317(f74(x69661),f317(f317(f228(x69661),x69662),x69664)),x69663))
% 184.03/183.90 [6967]~P83(x69671)+E(f317(f317(f223(x69671),f317(f317(f74(x69671),x69672),x69673)),f317(f317(f74(x69671),x69674),x69673)),f317(f317(f74(x69671),f317(f317(f223(x69671),x69672),x69674)),x69673))
% 184.03/183.90 [6968]~P124(x69681)+E(f317(f317(f3(x69681),f317(f317(f281(x69681),x69682),x69683)),f317(f317(f281(x69681),x69684),x69683)),f317(f317(f281(x69681),f317(f317(f3(x69681),x69682),x69684)),x69683))
% 184.03/183.90 [6969]~P124(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))
% 184.03/183.90 [6970]~P107(x69701)+E(f317(f317(f223(x69701),f317(f317(f228(x69701),x69702),x69703)),f317(f317(f228(x69701),x69704),x69703)),f317(f317(f228(x69701),f317(f317(f223(x69701),x69702),x69704)),x69703))
% 184.03/183.90 [6971]~P74(x69711)+E(f317(f317(f75(x69711),f317(f317(f234(x69711),x69712),x69713)),f317(f317(f234(x69711),x69714),x69713)),f317(f317(f234(x69711),f317(f317(f75(x69711),x69712),x69714)),x69713))
% 184.03/183.90 [6972]~P120(x69721)+E(f317(f317(f75(x69721),f317(f317(f234(x69721),x69722),x69723)),f317(f317(f234(x69721),x69724),x69723)),f317(f317(f234(x69721),f317(f317(f75(x69721),x69722),x69724)),x69723))
% 184.03/183.90 [6973]~P61(x69731)+E(f317(f317(f281(x69731),f317(f317(f234(x69731),x69732),x69733)),f317(f317(f234(x69731),x69734),x69733)),f317(f317(f234(x69731),f317(f317(f281(x69731),x69732),x69734)),x69733))
% 184.03/183.90 [6974]~P101(x69741)+E(f317(f317(f92(x69741),f317(f317(f91(x69741),x69742),x69743)),f317(f317(f91(x69741),x69744),x69743)),f317(f317(f91(x69741),f317(f317(f92(x69741),x69742),x69744)),x69743))
% 184.03/183.90 [6975]~P107(x69751)+E(f317(f317(f228(x69751),f317(f317(f223(x69751),x69752),x69753)),f317(f317(f223(x69751),x69754),x69753)),f317(f317(f223(x69751),f317(f317(f228(x69751),x69752),x69754)),x69753))
% 184.03/183.90 [6976]~P101(x69761)+E(f317(f317(f91(x69761),f317(f317(f92(x69761),x69762),x69763)),f317(f317(f92(x69761),x69764),x69763)),f317(f317(f92(x69761),f317(f317(f91(x69761),x69762),x69764)),x69763))
% 184.03/183.90 [6977]~P120(x69771)+E(f317(f317(f74(x69771),f317(f317(f75(x69771),x69772),x69773)),f317(f317(f75(x69771),x69774),x69773)),f317(f317(f75(x69771),f317(f317(f74(x69771),x69772),x69774)),x69773))
% 184.03/183.90 [7011]E(f317(f317(f149(x70111,x70112),x70113),x70114),x70112)+~P1(f317(f317(f224(a899),f317(f179(f900(x70111)),x70112)),x70113))
% 184.03/183.90 [7038]~P1(f317(x70383,x70384))+P1(f317(f317(f317(f91(f906(x70381,a895)),x70382),x70383),x70384))
% 184.03/183.90 [7040]~P1(f317(x70402,x70404))+P1(f317(f317(f317(f91(f906(x70401,a895)),x70402),x70403),x70404))
% 184.03/183.90 [7060]E(f317(f317(f154(x70601),f317(f317(f124(x70601),x70602),x70603)),x70604),f317(f317(f154(x70601),x70602),x70604))+~P1(f317(f317(f225(a899),x70604),f317(f179(f900(x70601)),x70602)))
% 184.03/183.90 [7071]E(f317(f317(f3(f906(x70711,a895)),f317(f317(f299(x70711),x70712),x70713)),x70714),f317(f317(f3(f906(x70711,a895)),x70713),x70714))+~P1(f317(f317(f319(x70711),x70712),x70714))
% 184.03/183.90 [7112]~E(f129(a899,f317(f292(a899,x71121),x71122)),f317(f317(f141(a899),x71124),x71123))+E(f129(a899,f317(f292(a899,f317(f317(f74(a899),x71121),f72(a899))),x71122)),x71123)
% 184.03/183.90 [7134]~P1(f317(f317(f162(x71341),x71343),x71344))+P1(f317(f317(f162(x71341),f317(f317(f141(x71341),x71342),x71343)),x71344))
% 184.03/183.90 [7184]E(x71841,f2(a899))+E(f317(f317(f141(x71842),x71843),f317(f317(f165(x71842),f317(f317(f3(a899),x71841),f72(a899))),x71844)),f317(f317(f165(x71842),x71841),f317(f317(f141(x71842),x71843),x71844)))
% 184.03/183.90 [7286]E(f317(f317(f154(x72861),x72862),f317(f317(f3(a899),x72863),f317(f179(f900(x72861)),x72864))),f317(f317(f154(x72861),f317(f317(f124(x72861),x72864),x72862)),x72863))+P1(f317(f317(f225(a899),x72863),f317(f179(f900(x72861)),x72864)))
% 184.03/183.90 [7314]E(f317(f317(f92(f906(x73141,a895)),x73142),f317(f317(f299(x73141),x73143),x73144)),f317(f317(f299(x73141),x73143),f317(f317(f92(f906(x73141,a895)),x73142),x73144)))+~P1(f317(f317(f319(x73141),x73143),x73142))
% 184.03/183.90 [7352]E(f317(f317(f154(x73521),f317(f317(f149(x73521,x73522),x73523),x73524)),x73523),x73524)+~P1(f317(f317(f225(a899),x73523),f317(f179(f900(x73521)),x73522)))
% 184.03/183.90 [7374]E(x73741,f178(f906(x73742,a895)))+E(f317(f300(f905(x73743,x73742),x73743,f241(x73743,x73742)),f317(f317(f244(x73743,x73742),x73744),f317(f18(f906(x73742,a895),x73743),x73741))),x73744)
% 184.03/183.90 [7375]E(x73751,f178(f906(x73752,a895)))+E(f317(f300(f905(x73752,x73753),x73753,f246(x73752,x73753)),f317(f317(f244(x73752,x73753),x73751),f317(f18(f906(x73753,a895),x73752),x73754))),x73754)
% 184.03/183.90 [7450]E(f317(f317(f3(f906(x74501,a895)),f317(f317(f299(x74501),x74502),x74503)),x74504),f317(f317(f299(x74501),x74502),f317(f317(f3(f906(x74501,a895)),x74503),x74504)))+P1(f317(f317(f319(x74501),x74502),x74504))
% 184.03/183.90 [7486]~E(x74864,f178(f906(x74862,a895)))+E(f317(f300(f905(x74861,x74862),x74861,f241(x74861,x74862)),f317(f317(f244(x74861,x74862),x74863),f317(f18(f906(x74862,a895),x74861),x74864))),f178(f906(x74861,a895)))
% 184.03/183.90 [7487]~E(x74873,f178(f906(x74871,a895)))+E(f317(f300(f905(x74871,x74872),x74872,f246(x74871,x74872)),f317(f317(f244(x74871,x74872),x74873),f317(f18(f906(x74872,a895),x74871),x74874))),f178(f906(x74872,a895)))
% 184.03/183.90 [7539]~P1(f317(f317(f319(x75391),x75392),x75394))+P1(f317(f317(f319(x75391),x75392),f317(f317(f91(f906(x75391,a895)),x75393),x75394)))
% 184.03/183.90 [7542]~P1(f317(f317(f319(x75421),x75422),x75423))+P1(f317(f317(f319(x75421),x75422),f317(f317(f91(f906(x75421,a895)),x75423),x75424)))
% 184.03/183.90 [7560]E(f317(f317(f92(f906(x75601,a895)),f317(f317(f299(x75601),x75602),x75603)),x75604),f317(f317(f299(x75601),x75602),f317(f317(f92(f906(x75601,a895)),x75603),x75604)))+~P1(f317(f317(f319(x75601),x75602),x75604))
% 184.03/183.90 [7837]P1(f317(x78371,x78372))+~P1(f317(f317(f317(f92(f906(x78373,a895)),x78374),x78371),x78372))
% 184.03/183.90 [7838]P1(f317(x78381,x78382))+~P1(f317(f317(f317(f92(f906(x78383,a895)),x78381),x78384),x78382))
% 184.03/183.90 [7839]E(f317(f317(f8(x78391,a899),x78392),f317(f317(f3(f906(x78391,a895)),x78393),f317(f317(f299(x78391),x78394),f178(f906(x78391,a895))))),f317(f317(f8(x78391,a899),x78392),x78393))+P1(f317(f317(f319(x78391),x78394),x78393))
% 184.03/183.90 [7844]~P70(x78441)+E(f317(f155(x78441),f317(f317(f144(a899,x78441),x78442),f129(a899,f317(f292(a899,x78443),x78444)))),f317(f317(f8(a899,x78441),x78442),f317(f162(a899),f129(a899,f317(f292(a899,x78443),x78444)))))
% 184.03/183.90 [7845]~P70(x78451)+E(f317(f317(f8(a899,x78451),x78452),f317(f162(a899),f129(a899,f317(f292(a899,x78453),x78454)))),f317(f155(x78451),f317(f317(f144(a899,x78451),x78452),f129(a899,f317(f292(a899,x78453),x78454)))))
% 184.03/183.90 [7959]~E(x79593,x79594)+P1(f317(f56(x79591,x79592,f317(f317(f299(x79591),x79593),f178(f906(x79591,a895)))),x79594))
% 184.03/183.90 [8056]P1(f317(f317(f319(x80561),x80562),f317(f162(x80561),x80563)))+~P1(f317(f317(f319(x80561),x80562),f317(f162(x80561),f317(f317(f165(x80561),x80564),x80563))))
% 184.03/183.90 [8057]P1(f317(f317(f319(x80571),x80572),f317(f162(x80571),x80573)))+~P1(f317(f317(f319(x80571),x80572),f317(f162(x80571),f317(f317(f128(x80571),x80574),x80573))))
% 184.03/183.90 [8127]P1(f317(f317(f319(x81271),x81272),x81273))+~P1(f317(f317(f319(x81271),x81272),f317(f317(f3(f906(x81271,a895)),x81273),x81274)))
% 184.03/183.90 [8129]P1(f317(f317(f319(x81291),x81292),x81293))+~P1(f317(f317(f319(x81291),x81292),f317(f317(f92(f906(x81291,a895)),x81294),x81293)))
% 184.03/183.90 [8132]P1(f317(f317(f319(x81321),x81322),x81323))+~P1(f317(f317(f319(x81321),x81322),f317(f317(f92(f906(x81321,a895)),x81323),x81324)))
% 184.03/183.90 [8147]E(f317(f317(f124(x81471),f317(f317(f165(x81471),x81472),x81473)),f317(f317(f141(x81471),x81474),f317(f317(f128(x81471),f317(a102,x81472)),x81473))),f317(f317(f149(x81471,x81473),x81472),x81474))+~P1(f317(f317(f225(a899),x81472),f317(f179(f900(x81471)),x81473)))
% 184.03/183.90 [8170]P1(f317(f317(f319(x81701),x81702),x81703))+~P1(f317(f317(f224(f906(x81701,a895)),f317(f317(f299(x81701),x81702),x81704)),x81703))
% 184.03/183.90 [8207]~P1(f317(f317(f319(x82071),x82072),x82073))+~P1(f317(f317(f319(x82071),x82072),f317(f317(f3(f906(x82071,a895)),x82074),x82073)))
% 184.03/183.90 [8240]~P1(f317(f317(f225(a899),x82404),f317(f179(f900(x82401)),x82403)))+P1(f317(f317(f319(x82401),x82402),f317(f162(x82401),f317(f317(f149(x82401,x82403),x82404),x82402))))
% 184.03/183.90 [8293]E(f317(f317(f154(x82931),f317(f317(f128(x82931),x82932),x82933)),x82934),f317(f317(f154(x82931),x82933),f317(f317(f74(a899),x82932),x82934)))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x82932),x82934)),f317(f179(f900(x82931)),x82933)))
% 184.03/183.90 [8302]~P145(x83022)+E(f317(f317(f8(x83021,x83022),f317(f317(f10(a899,x83022,x83021),f90(x83022)),x83023)),x83024),f317(f90(x83022),f317(f317(f8(x83021,a899),x83023),x83024)))
% 184.03/183.90 [8303]~P141(x83032)+E(f317(f317(f8(x83031,x83032),f317(f317(f10(a1,x83032,x83031),f93(x83032)),x83033)),x83034),f317(f93(x83032),f317(f317(f8(x83031,a1),x83033),x83034)))
% 184.03/183.90 [8353]~P64(x83532)+E(f317(f317(f11(x83531,x83532),f317(f317(f10(x83532,x83532,x83531),f70(x83532)),x83533)),x83534),f317(f70(x83532),f317(f317(f11(x83531,x83532),x83533),x83534)))
% 184.03/183.90 [8354]~P67(x83542)+E(f317(f317(f8(x83541,x83542),f317(f317(f10(x83542,x83542,x83541),f73(x83542)),x83543)),x83544),f317(f73(x83542),f317(f317(f8(x83541,x83542),x83543),x83544)))
% 184.03/183.90 [8357]E(f317(f317(f8(x83571,a899),x83572),f317(f317(f3(f906(x83571,a895)),x83573),f317(f317(f299(x83571),x83574),f178(f906(x83571,a895))))),f317(f317(f3(a899),f317(f317(f8(x83571,a899),x83572),x83573)),f317(x83572,x83574)))+~P1(f317(f317(f319(x83571),x83574),x83573))
% 184.03/183.90 [8376]P1(f317(f317(f224(f906(x83761,a895)),x83762),x83763))+~P1(f317(f317(f224(f906(x83761,a895)),f317(f317(f299(x83761),x83764),x83762)),x83763))
% 184.03/183.90 [8500]~E(f317(f300(x85002,x85003,x85001),f232(f906(x85002,a895))),f232(f906(x85003,a895)))+E(f317(x85001,f317(f85(x85002,x85003,f232(f906(x85002,a895)),x85001),x85004)),x85004)
% 184.03/183.90 [8584]P36(x85841,x85842)+~P36(x85841,f317(f317(f299(f905(x85841,x85841)),f317(f317(f242(x85841,x85841),x85843),x85844)),x85842))
% 184.03/183.90 [8585]P57(x85851,x85852)+~P57(x85851,f317(f317(f299(f905(x85851,x85851)),f317(f317(f242(x85851,x85851),x85853),x85854)),x85852))
% 184.03/183.90 [8590]~P107(x85901)+E(f317(f317(f138(x85901,x85901,f7(x85901)),x85902),f317(f317(f138(x85901,x85901,f7(x85901)),x85903),x85904)),f317(f317(f138(x85901,x85901,f7(x85901)),x85903),f317(f317(f138(x85901,x85901,f7(x85901)),x85902),x85904)))
% 184.03/183.90 [8605]E(x86051,x86052)+~P1(f317(f56(x86053,x86054,f317(f317(f299(x86053),x86051),f178(f906(x86053,a895)))),x86052))
% 184.03/183.90 [8614]E(f317(f317(f124(x86141),f317(f317(f165(x86141),x86142),x86143)),f317(f317(f165(x86141),x86144),f317(f317(f128(x86141),x86142),x86143))),f317(f317(f165(x86141),f317(f317(f74(a899),x86142),x86144)),x86143))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x86142),x86144)),f317(f179(f900(x86141)),x86143)))
% 184.03/183.90 [8654]P1(f317(f28(x86541),x86542))+~E(x86542,f317(f300(a899,x86541,x86543),f317(f252(a899),f317(f317(f9(a899,a899,a895),f225(a899)),x86544))))
% 184.03/183.90 [8674]~P90(x86741)+E(f317(f132(x86741,x86741,f74(x86741),f317(f317(f74(x86741),x86742),x86743)),x86744),f317(f317(f74(x86741),x86742),f317(f132(x86741,x86741,f74(x86741),x86743),x86744)))
% 184.03/183.90 [8710]P1(f317(f317(f224(f906(x87101,a895)),f317(f254(x87101,x87102),x87103)),f317(f254(x87101,x87102),x87104)))+~P1(f317(f317(f224(f906(f905(x87101,x87102),a895)),x87103),x87104))
% 184.03/183.90 [8722]~P1(f317(f317(f224(a899),x87222),x87224))+P1(f317(f317(f224(f906(x87221,a895)),f317(f162(x87221),f317(f317(f165(x87221),x87222),x87223))),f317(f162(x87221),f317(f317(f165(x87221),x87224),x87223))))
% 184.03/183.90 [8723]~P1(f317(f317(f224(a899),x87234),x87232))+P1(f317(f317(f224(f906(x87231,a895)),f317(f162(x87231),f317(f317(f128(x87231),x87232),x87233))),f317(f162(x87231),f317(f317(f128(x87231),x87234),x87233))))
% 184.03/183.90 [8780]~P1(f317(f28(x87801),f317(f317(f3(f906(x87801,a895)),x87802),x87804)))+P1(f317(f28(x87801),f317(f317(f3(f906(x87801,a895)),x87802),f317(f317(f299(x87801),x87803),x87804))))
% 184.03/183.90 [8822]P1(f317(f317(f319(f905(x88221,x88221)),x88222),f297(x88221,x88223)))+~P1(f317(f317(f319(f905(x88221,x88221)),x88222),f317(f317(f173(f905(x88221,x88221),a895),x88224),x88223)))
% 184.03/183.90 [8908]~P1(f317(f28(x89081),f317(f317(f3(f906(x89081,a895)),x89082),f317(f317(f299(x89081),x89084),x89083))))+P1(f317(f28(x89081),f317(f317(f3(f906(x89081,a895)),x89082),x89083)))
% 184.03/183.90 [9119]~P98(x91191)+P1(f317(f317(f224(x91191),f317(f317(f91(x91191),x91192),f317(f317(f92(x91191),x91193),x91194))),f317(f317(f92(x91191),f317(f317(f91(x91191),x91192),x91193)),f317(f317(f91(x91191),x91192),x91194))))
% 184.03/183.90 [9120]~P107(x91201)+P1(f317(f317(f224(x91201),f317(f317(f223(x91201),x91202),f317(f317(f228(x91201),x91203),x91204))),f317(f317(f228(x91201),f317(f317(f223(x91201),x91202),x91203)),f317(f317(f223(x91201),x91202),x91204))))
% 184.03/183.90 [9267]E(x92671,x92672)+~P1(f317(f317(f319(f905(x92673,x92673)),f317(f317(f242(x92673,x92673),x92671),x92672)),f317(f162(f905(x92673,x92673)),f317(f317(f171(x92673,x92673),x92674),x92674))))
% 184.03/183.90 [9298]~P1(f317(f317(f319(f905(x92981,x92981)),f317(f317(f242(x92981,x92981),x92983),x92982)),f297(x92981,x92984)))+~P36(x92981,f317(f317(f299(f905(x92981,x92981)),f317(f317(f242(x92981,x92981),x92982),x92983)),x92984))
% 184.03/183.90 [9299]~P1(f317(f317(f319(f905(x92991,x92991)),f317(f317(f242(x92991,x92991),x92993),x92992)),f297(x92991,x92994)))+~P57(x92991,f317(f317(f299(f905(x92991,x92991)),f317(f317(f242(x92991,x92991),x92992),x92993)),x92994))
% 184.03/183.90 [9303]E(x93031,x93032)+E(f317(f126(x93033,f317(f317(f10(a895,a895,x93033),a312),f317(a314,x93031))),f317(f317(f141(x93033),x93032),x93034)),f317(f317(f141(x93033),x93032),f317(f126(x93033,f317(f317(f10(a895,a895,x93033),a312),f317(a314,x93031))),x93034)))
% 184.03/183.90 [9334]~P25(x93342,x93341,x93343,f232(f906(x93342,a895)),f232(f906(x93341,a895)))+E(f317(f300(x93341,x93342,f85(x93342,x93341,f232(f906(x93342,a895)),x93343)),x93344),f317(f301(x93342,x93341,x93343),x93344))
% 184.03/183.90 [9350]~P98(x93501)+P1(f317(f317(f224(x93501),f317(f317(f91(x93501),f317(f317(f92(x93501),x93502),x93503)),f317(f317(f92(x93501),x93502),x93504))),f317(f317(f92(x93501),x93502),f317(f317(f91(x93501),x93503),x93504))))
% 184.03/183.90 [9351]~P107(x93511)+P1(f317(f317(f224(x93511),f317(f317(f223(x93511),f317(f317(f228(x93511),x93512),x93513)),f317(f317(f228(x93511),x93512),x93514))),f317(f317(f228(x93511),x93512),f317(f317(f223(x93511),x93513),x93514))))
% 184.03/183.90 [9415]~P25(x94152,x94151,x94154,f232(f906(x94152,a895)),f232(f906(x94151,a895)))+E(f317(f252(x94151),f317(f317(f10(x94152,a895,x94151),x94153),f85(x94152,x94151,f232(f906(x94152,a895)),x94154))),f317(f300(x94152,x94151,x94154),f317(f252(x94152),x94153)))
% 184.03/183.90 [9429]~E(f317(f300(x94292,x94291,x94293),f232(f906(x94292,a895))),f232(f906(x94291,a895)))+P1(f317(f317(f224(f906(x94291,a895)),f317(f73(f906(x94291,a895)),f317(f300(x94292,x94291,x94293),x94294))),f317(f300(x94292,x94291,x94293),f317(f73(f906(x94292,a895)),x94294))))
% 184.03/183.90 [9764]P1(f317(f317(f319(f905(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97643)),f317(f276(x97641,x97641),f317(f317(f279(x97641,x97641,x97641),x97644),f297(x97641,x97644)))))+~P1(f317(f317(f319(f905(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97643)),f317(f317(f279(x97641,x97641,x97641),f317(f276(x97641,x97641),x97644)),f297(x97641,f317(f276(x97641,x97641),x97644)))))
% 184.03/183.90 [9765]~P1(f317(f317(f319(f905(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97653)),f317(f276(x97651,x97651),f317(f317(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654)))))+P1(f317(f317(f319(f905(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97653)),f317(f317(f279(x97651,x97651,x97651),f317(f276(x97651,x97651),x97654)),f297(x97651,f317(f276(x97651,x97651),x97654)))))
% 184.03/183.90 [9786]~P1(f317(f317(f319(x97862),x97864),f317(f274(x97861,x97862),x97863)))+P1(f317(f317(f319(f905(x97861,x97862)),f317(f317(f242(x97861,x97862),f540(x97863,x97861,x97864,x97862)),x97864)),x97863))
% 184.03/183.90 [9787]~P1(f317(f317(f319(x97872),x97874),f317(f274(x97871,x97872),x97873)))+P1(f317(f317(f319(f905(x97871,x97872)),f317(f317(f242(x97871,x97872),f546(x97873,x97871,x97874,x97872)),x97874)),x97873))
% 184.03/183.90 [9812]~P1(f317(f317(f319(x98121),x98124),f317(f317(f91(f906(x98121,a895)),x98122),x98123)))+P1(f317(f317(f317(f91(f906(x98121,a895)),f317(f317(f9(x98121,f906(x98121,a895),a895),f319(x98121)),x98122)),f317(f317(f9(x98121,f906(x98121,a895),a895),f319(x98121)),x98123)),x98124))
% 184.03/183.90 [9813]~P1(f317(f317(f319(x98131),x98134),f317(f317(f92(f906(x98131,a895)),x98132),x98133)))+P1(f317(f317(f317(f92(f906(x98131,a895)),f317(f317(f9(x98131,f906(x98131,a895),a895),f319(x98131)),x98132)),f317(f317(f9(x98131,f906(x98131,a895),a895),f319(x98131)),x98133)),x98134))
% 184.03/183.90 [9894]~P1(f317(f317(f319(f905(x98941,x98941)),f317(f317(f242(x98941,x98941),x98944),x98943)),f317(f317(f279(x98941,x98941,x98941),x98942),f297(x98941,x98942))))+P1(f317(f317(f319(f905(x98941,x98941)),f317(f317(f242(x98941,x98941),f623(x98942,x98943,x98944,x98941)),x98943)),x98942))
% 184.03/183.90 [9929]P1(f317(f317(f319(x99291),x99292),f317(f317(f91(f906(x99291,a895)),x99293),x99294)))+~P1(f317(f317(f317(f91(f906(x99291,a895)),f317(f317(f9(x99291,f906(x99291,a895),a895),f319(x99291)),x99293)),f317(f317(f9(x99291,f906(x99291,a895),a895),f319(x99291)),x99294)),x99292))
% 184.03/183.90 [9930]P1(f317(f317(f319(x99301),x99302),f317(f317(f92(f906(x99301,a895)),x99303),x99304)))+~P1(f317(f317(f317(f92(f906(x99301,a895)),f317(f317(f9(x99301,f906(x99301,a895),a895),f319(x99301)),x99303)),f317(f317(f9(x99301,f906(x99301,a895),a895),f319(x99301)),x99304)),x99302))
% 184.03/183.90 [10212]P31(x102121,f317(f317(f9(x102121,f906(f905(x102121,x102121),a895),f906(x102121,a895)),f317(f317(f10(f906(x102121,f906(f906(f905(x102121,x102121),a895),a895)),f906(f906(f905(x102121,x102121),a895),f906(x102121,a895)),x102121),f9(x102121,f906(f905(x102121,x102121),a895),a895)),f317(f317(f10(f906(x102121,f905(x102121,x102121)),f906(x102121,f906(f906(f905(x102121,x102121),a895),a895)),x102121),f317(f10(f905(x102121,x102121),f906(f906(f905(x102121,x102121),a895),a895),x102121),f319(f905(x102121,x102121)))),f242(x102121,x102121)))),x102122),x102123,x102124)+~P1(f317(f317(f319(f905(f900(x102121),f900(x102121))),f317(f317(f242(f900(x102121),f900(x102121)),x102123),x102124)),f148(x102121,x102122)))
% 184.03/183.90 [10216]P58(x102161,f317(f317(f9(x102161,f906(f905(x102161,x102161),a895),f906(x102161,a895)),f317(f317(f10(f906(x102161,f906(f906(f905(x102161,x102161),a895),a895)),f906(f906(f905(x102161,x102161),a895),f906(x102161,a895)),x102161),f9(x102161,f906(f905(x102161,x102161),a895),a895)),f317(f317(f10(f906(x102161,f905(x102161,x102161)),f906(x102161,f906(f906(f905(x102161,x102161),a895),a895)),x102161),f317(f10(f905(x102161,x102161),f906(f906(f905(x102161,x102161),a895),a895),x102161),f319(f905(x102161,x102161)))),f242(x102161,x102161)))),x102162),x102163,x102164)+~P1(f317(f317(f319(f905(f906(x102161,a895),f906(x102161,a895))),f317(f317(f242(f906(x102161,a895),f906(x102161,a895)),x102163),x102164)),f308(x102161,x102162)))
% 184.03/183.90 [10251]E(x102511,x102512)+~E(f317(f317(f9(x102513,f906(f905(x102513,x102514),a895),f906(x102514,a895)),f317(f317(f10(f906(x102514,f906(f906(f905(x102513,x102514),a895),a895)),f906(f906(f905(x102513,x102514),a895),f906(x102514,a895)),x102513),f9(x102514,f906(f905(x102513,x102514),a895),a895)),f317(f317(f10(f906(x102514,f905(x102513,x102514)),f906(x102514,f906(f906(f905(x102513,x102514),a895),a895)),x102513),f317(f10(f905(x102513,x102514),f906(f906(f905(x102513,x102514),a895),a895),x102514),f319(f905(x102513,x102514)))),f242(x102513,x102514)))),x102511),f317(f317(f9(x102513,f906(f905(x102513,x102514),a895),f906(x102514,a895)),f317(f317(f10(f906(x102514,f906(f906(f905(x102513,x102514),a895),a895)),f906(f906(f905(x102513,x102514),a895),f906(x102514,a895)),x102513),f9(x102514,f906(f905(x102513,x102514),a895),a895)),f317(f317(f10(f906(x102514,f905(x102513,x102514)),f906(x102514,f906(f906(f905(x102513,x102514),a895),a895)),x102513),f317(f10(f905(x102513,x102514),f906(f906(f905(x102513,x102514),a895),a895),x102514),f319(f905(x102513,x102514)))),f242(x102513,x102514)))),x102512))
% 184.03/183.90 [10254]~P31(x102541,f317(f317(f9(x102541,f906(f905(x102541,x102541),a895),f906(x102541,a895)),f317(f317(f10(f906(x102541,f906(f906(f905(x102541,x102541),a895),a895)),f906(f906(f905(x102541,x102541),a895),f906(x102541,a895)),x102541),f9(x102541,f906(f905(x102541,x102541),a895),a895)),f317(f317(f10(f906(x102541,f905(x102541,x102541)),f906(x102541,f906(f906(f905(x102541,x102541),a895),a895)),x102541),f317(f10(f905(x102541,x102541),f906(f906(f905(x102541,x102541),a895),a895),x102541),f319(f905(x102541,x102541)))),f242(x102541,x102541)))),x102544),x102542,x102543)+P1(f317(f317(f319(f905(f900(x102541),f900(x102541))),f317(f317(f242(f900(x102541),f900(x102541)),x102542),x102543)),f148(x102541,x102544)))
% 184.03/183.90 [10255]~P58(x102551,f317(f317(f9(x102551,f906(f905(x102551,x102551),a895),f906(x102551,a895)),f317(f317(f10(f906(x102551,f906(f906(f905(x102551,x102551),a895),a895)),f906(f906(f905(x102551,x102551),a895),f906(x102551,a895)),x102551),f9(x102551,f906(f905(x102551,x102551),a895),a895)),f317(f317(f10(f906(x102551,f905(x102551,x102551)),f906(x102551,f906(f906(f905(x102551,x102551),a895),a895)),x102551),f317(f10(f905(x102551,x102551),f906(f906(f905(x102551,x102551),a895),a895),x102551),f319(f905(x102551,x102551)))),f242(x102551,x102551)))),x102554),x102552,x102553)+P1(f317(f317(f319(f905(f906(x102551,a895),f906(x102551,a895))),f317(f317(f242(f906(x102551,a895),f906(x102551,a895)),x102552),x102553)),f308(x102551,x102554)))
% 184.03/183.90 [7609]~P93(x76091)+E(f317(f317(f75(x76091),f317(f94(x76091),x76092)),f317(f317(f75(x76091),f317(f94(x76091),x76093)),x76094)),f317(f317(f75(x76091),f317(f94(x76091),f317(f317(f75(a1),x76092),x76093))),x76094))
% 184.03/183.90 [7610]~P93(x76101)+E(f317(f317(f74(x76101),f317(f94(x76101),x76102)),f317(f317(f3(x76101),f317(f94(x76101),x76103)),x76104)),f317(f317(f3(x76101),f317(f94(x76101),f317(f317(f74(a1),x76102),x76103))),x76104))
% 184.03/183.90 [7611]~P93(x76111)+E(f317(f317(f74(x76111),f317(f94(x76111),x76112)),f317(f317(f74(x76111),f317(f94(x76111),x76113)),x76114)),f317(f317(f74(x76111),f317(f94(x76111),f317(f317(f74(a1),x76112),x76113))),x76114))
% 184.03/183.90 [7654]~P145(x76541)+E(f317(f155(x76541),f317(f317(f144(x76542,x76541),f317(f18(x76541,x76542),x76543)),x76544)),f317(f317(f75(x76541),f317(f90(x76541),f317(f179(f900(x76542)),x76544))),x76543))
% 184.03/183.90 [7894]E(f317(f258(x78941,f317(f317(f141(f905(a89,x78941)),x78942),x78943)),x78944),f317(f246(a89,x78941),x78942))+~P1(f317(f317(f225(a89),x78944),f317(f241(a89,x78941),x78942)))
% 184.03/183.90 [7935]~P93(x79351)+E(f317(f317(f74(x79351),f317(f94(x79351),x79352)),f317(f317(f3(x79351),x79353),f317(f94(x79351),x79354))),f317(f317(f74(x79351),f317(f94(x79351),f317(f317(f74(a1),x79352),f317(f73(a1),x79354)))),x79353))
% 184.03/183.90 [8069]E(f317(f258(x80691,x80692),f317(f317(f3(a89),x80693),f317(f241(a89,x80691),x80694))),f317(f258(x80691,f317(f317(f141(f905(a89,x80691)),x80694),x80692)),x80693))+P1(f317(f317(f225(a89),x80693),f317(f241(a89,x80691),x80694)))
% 184.03/183.90 [8506]~P1(f317(f317(f319(x85061),x85062),f317(f162(x85061),f104(x85061,x85064))))+P1(f317(f317(f319(x85061),x85062),f317(f162(x85061),f104(x85061,f317(f317(f124(x85061),x85063),x85064)))))
% 184.03/183.90 [8507]~P1(f317(f317(f319(x85071),x85072),f317(f162(x85071),f104(x85071,x85073))))+P1(f317(f317(f319(x85071),x85072),f317(f162(x85071),f104(x85071,f317(f317(f124(x85071),x85073),x85074)))))
% 184.03/183.90 [8527]E(f317(f317(f91(f906(x85271,a895)),f317(f317(f92(f906(x85271,a895)),x85272),x85273)),x85274),f317(f317(f92(f906(x85271,a895)),x85272),f317(f317(f91(f906(x85271,a895)),x85273),x85274)))+~P1(f317(f317(f224(f906(x85271,a895)),x85274),x85272))
% 184.03/183.90 [8836]~E(f317(f317(f91(f906(x88361,a895)),f317(f317(f92(f906(x88361,a895)),x88363),x88364)),x88362),f317(f317(f92(f906(x88361,a895)),x88363),f317(f317(f91(f906(x88361,a895)),x88364),x88362)))+P1(f317(f317(f224(f906(x88361,a895)),x88362),x88363))
% 184.03/183.90 [9124]~P1(f317(f317(f224(f906(x91241,a895)),x91242),f317(f317(f91(f906(x91241,a895)),x91243),x91244)))+P1(f317(f317(f224(f906(x91241,a895)),f317(f317(f3(f906(x91241,a895)),x91242),x91243)),x91244))
% 184.03/183.90 [9239]~E(f317(f300(x92391,x92392,x92393),f232(f906(x92391,a895))),f232(f906(x92392,a895)))+E(f317(f300(x92391,x92392,x92393),f317(f300(x92392,x92391,f85(x92391,x92392,f232(f906(x92391,a895)),x92393)),x92394)),x92394)
% 184.03/183.90 [9244]P1(f317(f317(f224(f906(x92441,a895)),x92442),f317(f317(f91(f906(x92441,a895)),x92443),x92444)))+~P1(f317(f317(f224(f906(x92441,a895)),f317(f317(f3(f906(x92441,a895)),x92442),x92443)),x92444))
% 184.03/183.90 [9329]~P85(x93291)+E(f317(f70(x93291),f317(f317(f8(x93292,x93291),f317(f317(f10(x93291,x93291,x93292),f70(x93291)),x93293)),x93294)),f317(f317(f8(x93292,x93291),f317(f317(f10(x93291,x93291,x93292),f70(x93291)),x93293)),x93294))
% 184.03/183.90 [9505]~P85(x95051)+P1(f317(f317(f224(x95051),f2(x95051)),f317(f317(f8(x95052,x95051),f317(f317(f10(x95051,x95051,x95052),f70(x95051)),x95053)),x95054)))
% 184.03/183.90 [9509]~P67(x95091)+E(f317(f155(x95091),f317(f317(f144(x95092,x95091),f317(f67(x95091,x95091,x95092,f73(x95091)),x95093)),x95094)),f317(f73(x95091),f317(f155(x95091),f317(f317(f144(x95092,x95091),x95093),x95094))))
% 184.03/183.90 [9660]~P85(x96601)+P1(f317(f317(f224(x96601),f317(f70(x96601),f317(f317(f8(x96602,x96601),x96603),x96604))),f317(f317(f8(x96602,x96601),f317(f317(f10(x96601,x96601,x96602),f70(x96601)),x96603)),x96604)))
% 184.03/183.90 [9689]~E(f317(f317(f74(a899),x96891),x96894),f317(f317(f74(a899),x96893),x96892))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x96891),x96892)),f317(f317(f242(a899,a899),x96893),x96894))),a99))
% 184.03/183.90 [9690]~P1(f317(f317(f225(a899),x96901),x96903))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x96901),x96902)),f317(f317(f242(a899,a899),x96903),x96904))),a26))
% 184.03/183.90 [9691]~P1(f317(f317(f225(a899),x96911),x96913))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x96911),x96912)),f317(f317(f242(a899,a899),x96913),x96914))),a65))
% 184.03/183.90 [9837]E(f317(f317(f74(a899),x98371),x98372),f317(f317(f74(a899),x98373),x98374))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x98371),x98374)),f317(f317(f242(a899,a899),x98373),x98372))),a99))
% 184.03/183.90 [9868]E(f317(f317(f154(x98681),f317(f317(f128(x98681),f317(f179(f900(x98681)),f167(x98681,x98682,x98683))),x98683)),x98684),f317(f317(f154(x98681),x98683),f317(f317(f74(a899),x98684),f317(f179(f900(x98681)),f167(x98681,x98682,x98683)))))+~P1(f317(f317(f225(a899),x98684),f317(f179(f900(x98681)),f317(f317(f128(x98681),f317(f179(f900(x98681)),f167(x98681,x98682,x98683))),x98683))))
% 184.03/183.90 [9885]~P1(f317(f317(f319(x98852),x98854),f317(f317(f34(x98851,f906(x98852,a895)),f232(f906(x98851,a895))),x98853)))+P1(f317(f317(f317(f34(x98851,f906(x98852,a895)),f232(f906(x98851,a895))),f317(f317(f10(f906(x98852,a895),f906(x98852,a895),x98851),f317(f9(x98852,f906(x98852,a895),a895),f319(x98852))),x98853)),x98854))
% 184.03/183.90 [9886]~P1(f317(f317(f319(x98862),x98864),f317(f317(f35(x98861,f906(x98862,a895)),f232(f906(x98861,a895))),x98863)))+P1(f317(f317(f317(f35(x98861,f906(x98862,a895)),f232(f906(x98861,a895))),f317(f317(f10(f906(x98862,a895),f906(x98862,a895),x98861),f317(f9(x98862,f906(x98862,a895),a895),f319(x98862))),x98863)),x98864))
% 184.03/183.90 [9955]~P1(f317(f44(x99551,x99552),f317(f317(f242(a1,a1),x99554),x99553)))+P1(f317(f44(f317(f73(a1),x99551),x99552),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99553),f2(a1))),f317(f73(a1),x99554)),f317(f317(f3(a1),f317(f73(a1),x99554)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99553),f2(a1))),f2(a1)),f317(f317(f3(a1),x99552),x99553)))))
% 184.03/183.90 [9967]P1(f317(f317(f319(x99671),x99672),f317(f317(f34(x99673,f906(x99671,a895)),f232(f906(x99673,a895))),x99674)))+~P1(f317(f317(f317(f34(x99673,f906(x99671,a895)),f232(f906(x99673,a895))),f317(f317(f10(f906(x99671,a895),f906(x99671,a895),x99673),f317(f9(x99671,f906(x99671,a895),a895),f319(x99671))),x99674)),x99672))
% 184.03/183.90 [9968]P1(f317(f317(f319(x99681),x99682),f317(f317(f35(x99683,f906(x99681,a895)),f232(f906(x99683,a895))),x99684)))+~P1(f317(f317(f317(f35(x99683,f906(x99681,a895)),f232(f906(x99683,a895))),f317(f317(f10(f906(x99681,a895),f906(x99681,a895),x99683),f317(f9(x99681,f906(x99681,a895),a895),f319(x99681))),x99684)),x99682))
% 184.03/183.90 [9980]E(f317(f317(f35(a899,f906(x99801,a895)),f232(f906(a899,a895))),x99802),f317(f317(f35(a899,f906(x99801,a895)),f232(f906(a899,a895))),x99803))+~E(f317(f317(f35(a899,f906(x99801,a895)),f317(f292(a899,f2(a899)),f488(x99802,x99804,x99803,x99801))),x99803),f317(f317(f35(a899,f906(x99801,a895)),f317(f292(a899,f2(a899)),f317(f317(f74(a899),f488(x99802,x99804,x99803,x99801)),x99804))),x99802))
% 184.03/183.90 [10332]~P1(f317(f317(f224(f906(f905(x103321,x103322),a895)),x103323),x103324))+P1(f317(f317(f224(f906(x103321,f906(x103322,a895))),f317(f317(f9(x103321,f906(f905(x103321,x103322),a895),f906(x103322,a895)),f317(f317(f10(f906(x103322,f906(f906(f905(x103321,x103322),a895),a895)),f906(f906(f905(x103321,x103322),a895),f906(x103322,a895)),x103321),f9(x103322,f906(f905(x103321,x103322),a895),a895)),f317(f317(f10(f906(x103322,f905(x103321,x103322)),f906(x103322,f906(f906(f905(x103321,x103322),a895),a895)),x103321),f317(f10(f905(x103321,x103322),f906(f906(f905(x103321,x103322),a895),a895),x103322),f319(f905(x103321,x103322)))),f242(x103321,x103322)))),x103323)),f317(f317(f9(x103321,f906(f905(x103321,x103322),a895),f906(x103322,a895)),f317(f317(f10(f906(x103322,f906(f906(f905(x103321,x103322),a895),a895)),f906(f906(f905(x103321,x103322),a895),f906(x103322,a895)),x103321),f9(x103322,f906(f905(x103321,x103322),a895),a895)),f317(f317(f10(f906(x103322,f905(x103321,x103322)),f906(x103322,f906(f906(f905(x103321,x103322),a895),a895)),x103321),f317(f10(f905(x103321,x103322),f906(f906(f905(x103321,x103322),a895),a895),x103322),f319(f905(x103321,x103322)))),f242(x103321,x103322)))),x103324)))
% 184.03/183.90 [10348]P1(f317(f317(f224(f906(f905(x103481,x103482),a895)),x103483),x103484))+~P1(f317(f317(f224(f906(x103481,f906(x103482,a895))),f317(f317(f9(x103481,f906(f905(x103481,x103482),a895),f906(x103482,a895)),f317(f317(f10(f906(x103482,f906(f906(f905(x103481,x103482),a895),a895)),f906(f906(f905(x103481,x103482),a895),f906(x103482,a895)),x103481),f9(x103482,f906(f905(x103481,x103482),a895),a895)),f317(f317(f10(f906(x103482,f905(x103481,x103482)),f906(x103482,f906(f906(f905(x103481,x103482),a895),a895)),x103481),f317(f10(f905(x103481,x103482),f906(f906(f905(x103481,x103482),a895),a895),x103482),f319(f905(x103481,x103482)))),f242(x103481,x103482)))),x103483)),f317(f317(f9(x103481,f906(f905(x103481,x103482),a895),f906(x103482,a895)),f317(f317(f10(f906(x103482,f906(f906(f905(x103481,x103482),a895),a895)),f906(f906(f905(x103481,x103482),a895),f906(x103482,a895)),x103481),f9(x103482,f906(f905(x103481,x103482),a895),a895)),f317(f317(f10(f906(x103482,f905(x103481,x103482)),f906(x103482,f906(f906(f905(x103481,x103482),a895),a895)),x103481),f317(f10(f905(x103481,x103482),f906(f906(f905(x103481,x103482),a895),a895),x103482),f319(f905(x103481,x103482)))),f242(x103481,x103482)))),x103484)))
% 184.03/183.90 [9377]~P1(f317(f317(f319(f905(x93771,x93771)),x93772),f297(x93771,x93774)))+P1(f317(f317(f319(f905(x93771,x93771)),x93772),f297(x93771,f317(f317(f91(f906(f905(x93771,x93771),a895)),x93773),x93774))))
% 184.03/183.90 [9378]~P1(f317(f317(f319(f905(x93781,x93781)),x93782),f297(x93781,x93783)))+P1(f317(f317(f319(f905(x93781,x93781)),x93782),f297(x93781,f317(f317(f91(f906(f905(x93781,x93781),a895)),x93783),x93784))))
% 184.03/183.90 [10066]~P1(f317(f317(f224(a899),f317(f317(f74(a899),x100661),x100664)),f317(f317(f74(a899),x100663),x100662)))+P1(f317(f317(f224(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x100661),x100662)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x100663),x100664)),f178(f906(f905(a899,a899),a895)))))))
% 184.03/183.90 [10067]~P1(f317(f317(f225(a899),f317(f317(f74(a899),x100671),x100674)),f317(f317(f74(a899),x100673),x100672)))+P1(f317(f317(f225(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x100671),x100672)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x100673),x100674)),f178(f906(f905(a899,a899),a895)))))))
% 184.03/183.90 [10154]P1(f317(f317(f224(a899),f317(f317(f74(a899),x101541),x101542)),f317(f317(f74(a899),x101543),x101544)))+~P1(f317(f317(f224(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x101541),x101544)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x101543),x101542)),f178(f906(f905(a899,a899),a895)))))))
% 184.03/183.90 [10155]P1(f317(f317(f225(a899),f317(f317(f74(a899),x101551),x101552)),f317(f317(f74(a899),x101553),x101554)))+~P1(f317(f317(f225(a1),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x101551),x101554)),f178(f906(f905(a899,a899),a895)))))),f317(a83,f317(f275(f905(a899,a899),f905(a899,a899),a99),f317(f317(f299(f905(a899,a899)),f317(f317(f242(a899,a899),x101553),x101552)),f178(f906(f905(a899,a899),a895)))))))
% 184.03/183.90 [10198]P1(f317(f317(f224(f906(x101981,a895)),f317(f317(f35(a899,f906(x101981,a895)),f232(f906(a899,a895))),x101982)),f317(f317(f35(a899,f906(x101981,a895)),f232(f906(a899,a895))),x101983)))+~P1(f317(f317(f224(f906(x101981,a895)),f317(f317(f35(a899,f906(x101981,a895)),f317(f292(a899,f2(a899)),f489(x101983,x101984,x101982,x101981))),x101982)),f317(f317(f35(a899,f906(x101981,a895)),f317(f292(a899,f2(a899)),f317(f317(f74(a899),f489(x101983,x101984,x101982,x101981)),x101984))),x101983)))
% 184.03/183.90 [10258]P1(f317(f317(f224(a89),x102584),f2(a89)))+E(f317(f317(f249(f905(a89,a89),f905(x102581,f906(a898,a313)),f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89))),f317(x102582,x102583)),f317(f317(f10(f906(f906(a89,f906(a895,f902(f901(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89))),f905(x102581,f906(a898,a313))),f317(f249(f905(a89,a89),f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89))),f267(x102581,x102582,f317(f317(f3(a89),x102584),f72(a89)),x102583))),f317(f317(f10(f906(f906(a89,f906(a895,f902(f901(x102581)))),f906(a89,f906(a895,f902(f901(x102581))))),f906(f906(a89,f906(a895,f902(f901(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89)))),f905(x102581,f906(a898,a313))),f317(f10(f906(a89,f906(a895,f902(f901(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89))),f906(a89,f906(a895,f902(f901(x102581))))),f242(f906(a89,f906(a895,f902(f901(x102581)))),f905(a89,a89)))),f317(f317(f10(f906(a89,f906(a895,f902(f901(x102581)))),f906(f906(a89,f906(a895,f902(f901(x102581)))),f906(a89,f906(a895,f902(f901(x102581))))),f905(x102581,f906(a898,a313))),f39(x102581)),f317(f317(f10(x102581,f906(a89,f906(a895,f902(f901(x102581)))),f905(x102581,f906(a898,a313))),f37(x102581)),f241(x102581,f906(a898,a313))))))),f267(x102581,x102582,x102584,x102583))
% 184.03/183.90 [10322]~P1(f317(f317(f319(x103222),x103224),f317(f274(x103221,x103222),x103223)))+P1(f317(f240(x103221,x103222,f317(f317(f9(x103221,f906(f905(x103221,x103222),a895),f906(x103222,a895)),f317(f317(f10(f906(x103222,f906(f906(f905(x103221,x103222),a895),a895)),f906(f906(f905(x103221,x103222),a895),f906(x103222,a895)),x103221),f9(x103222,f906(f905(x103221,x103222),a895),a895)),f317(f317(f10(f906(x103222,f905(x103221,x103222)),f906(x103222,f906(f906(f905(x103221,x103222),a895),a895)),x103221),f317(f10(f905(x103221,x103222),f906(f906(f905(x103221,x103222),a895),a895),x103222),f319(f905(x103221,x103222)))),f242(x103221,x103222)))),x103223)),x103224))
% 184.03/183.90 [10323]~P1(f317(f317(f319(x103231),x103234),f317(f254(x103231,x103232),x103233)))+P1(f317(f239(x103231,x103232,f317(f317(f9(x103231,f906(f905(x103231,x103232),a895),f906(x103232,a895)),f317(f317(f10(f906(x103232,f906(f906(f905(x103231,x103232),a895),a895)),f906(f906(f905(x103231,x103232),a895),f906(x103232,a895)),x103231),f9(x103232,f906(f905(x103231,x103232),a895),a895)),f317(f317(f10(f906(x103232,f905(x103231,x103232)),f906(x103232,f906(f906(f905(x103231,x103232),a895),a895)),x103231),f317(f10(f905(x103231,x103232),f906(f906(f905(x103231,x103232),a895),a895),x103232),f319(f905(x103231,x103232)))),f242(x103231,x103232)))),x103233)),x103234))
% 184.03/183.90 [10335]P1(f317(f317(f319(x103351),x103352),f317(f274(x103353,x103351),x103354)))+~P1(f317(f240(x103353,x103351,f317(f317(f9(x103353,f906(f905(x103353,x103351),a895),f906(x103351,a895)),f317(f317(f10(f906(x103351,f906(f906(f905(x103353,x103351),a895),a895)),f906(f906(f905(x103353,x103351),a895),f906(x103351,a895)),x103353),f9(x103351,f906(f905(x103353,x103351),a895),a895)),f317(f317(f10(f906(x103351,f905(x103353,x103351)),f906(x103351,f906(f906(f905(x103353,x103351),a895),a895)),x103353),f317(f10(f905(x103353,x103351),f906(f906(f905(x103353,x103351),a895),a895),x103351),f319(f905(x103353,x103351)))),f242(x103353,x103351)))),x103354)),x103352))
% 184.03/183.90 [10336]P1(f317(f317(f319(x103361),x103362),f317(f254(x103361,x103363),x103364)))+~P1(f317(f239(x103361,x103363,f317(f317(f9(x103361,f906(f905(x103361,x103363),a895),f906(x103363,a895)),f317(f317(f10(f906(x103363,f906(f906(f905(x103361,x103363),a895),a895)),f906(f906(f905(x103361,x103363),a895),f906(x103363,a895)),x103361),f9(x103363,f906(f905(x103361,x103363),a895),a895)),f317(f317(f10(f906(x103363,f905(x103361,x103363)),f906(x103363,f906(f906(f905(x103361,x103363),a895),a895)),x103361),f317(f10(f905(x103361,x103363),f906(f906(f905(x103361,x103363),a895),a895),x103363),f319(f905(x103361,x103363)))),f242(x103361,x103363)))),x103364)),x103362))
% 184.03/183.90 [9991]P1(f317(f150(x99911,x99912),x99913))+~P1(f317(f150(x99911,f317(f317(f20(x99911,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99911),a315),x99914)),x99912)),x99913))
% 184.03/183.90 [9992]P1(f317(f150(x99921,x99922),x99923))+~P1(f317(f150(x99921,f317(f317(f20(x99921,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99921),a315),x99922)),x99924)),x99923))
% 184.03/183.90 [10078]~P120(x100781)+E(f317(f317(f75(x100781),f317(f317(f74(x100781),f72(x100781)),f72(x100781))),f317(f317(f8(a899,x100781),f317(f317(f10(x100781,x100781,a899),f317(f74(x100781),x100782)),f317(f317(f9(a899,x100781,x100781),f317(f317(f10(x100781,f906(x100781,x100781),a899),f75(x100781)),f90(x100781))),x100783))),f317(f272(a899),x100784))),f317(f317(f75(x100781),f317(f90(x100781),x100784)),f317(f317(f74(x100781),x100782),f317(f317(f74(x100781),x100782),f317(f317(f75(x100781),f317(f90(x100781),f317(f317(f3(a899),x100784),f72(a899)))),x100783)))))
% 184.03/183.90 [10219]P1(f317(x102191,f557(x102192,x102193,x102194,x102191)))+P36(x102192,f317(f252(f905(x102192,x102192)),f317(f247(x102192,x102192,a895),f317(f317(f10(f906(x102192,a895),f906(x102192,a895),x102192),f317(f20(x102192,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102192),a315),x102191))),f317(f317(f9(x102192,f906(x102192,x102192),f906(x102192,a895)),f317(f317(f10(f906(x102192,a895),f906(f906(x102192,x102192),f906(x102192,a895)),x102192),f10(x102192,a895,x102192)),a314)),x102193)))))
% 184.03/183.90 [10233]~P1(f317(f317(f225(a899),f317(x102334,f317(x102333,f557(x102331,x102333,x102334,x102332)))),f317(x102334,f557(x102331,x102333,x102334,x102332))))+P36(x102331,f317(f252(f905(x102331,x102331)),f317(f247(x102331,x102331,a895),f317(f317(f10(f906(x102331,a895),f906(x102331,a895),x102331),f317(f20(x102331,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102331),a315),x102332))),f317(f317(f9(x102331,f906(x102331,x102331),f906(x102331,a895)),f317(f317(f10(f906(x102331,a895),f906(f906(x102331,x102331),f906(x102331,a895)),x102331),f10(x102331,a895,x102331)),a314)),x102333)))))
% 184.03/183.90 [10309]~P5(x103091)+E(f31(x103091,f317(f252(x103091),f317(f317(f10(f906(f906(x103092,x103091),a895),a895,x103091),f81(f906(x103092,x103091))),f317(f317(f10(f906(f906(x103092,x103091),a895),f906(f906(x103092,x103091),a895),x103091),f317(f20(f906(x103092,x103091),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x103092,x103091)),a315),f317(f317(f9(f906(x103092,x103091),f906(f906(x103092,x103091),a895),a895),f319(f906(x103092,x103091))),x103093)))),f317(f317(f9(x103091,f906(f906(x103092,x103091),x103091),f906(f906(x103092,x103091),a895)),f317(f317(f10(f906(x103091,a895),f906(f906(f906(x103092,x103091),x103091),f906(f906(x103092,x103091),a895)),x103091),f10(x103091,a895,f906(x103092,x103091))),a314)),f317(f317(f9(f906(x103092,x103091),x103092,x103091),f7(f906(x103092,x103091))),x103094)))))),f317(f31(f906(x103092,x103091),x103093),x103094))
% 184.03/183.90 [10310]~P5(x103101)+E(f31(x103101,f317(f252(x103101),f317(f317(f10(f906(f906(x103102,x103101),a895),a895,x103101),f81(f906(x103102,x103101))),f317(f317(f10(f906(f906(x103102,x103101),a895),f906(f906(x103102,x103101),a895),x103101),f317(f20(f906(x103102,x103101),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x103102,x103101)),a315),f317(f317(f9(f906(x103102,x103101),f906(f906(x103102,x103101),a895),a895),f319(f906(x103102,x103101))),x103103)))),f317(f317(f9(x103101,f906(f906(x103102,x103101),x103101),f906(f906(x103102,x103101),a895)),f317(f317(f10(f906(x103101,a895),f906(f906(f906(x103102,x103101),x103101),f906(f906(x103102,x103101),a895)),x103101),f10(x103101,a895,f906(x103102,x103101))),a314)),f317(f317(f9(f906(x103102,x103101),x103102,x103101),f7(f906(x103102,x103101))),x103104)))))),f317(f31(f906(x103102,x103101),x103103),x103104))
% 184.03/183.90 [10311]~P5(x103111)+E(f32(x103111,f317(f252(x103111),f317(f317(f10(f906(f906(x103112,x103111),a895),a895,x103111),f81(f906(x103112,x103111))),f317(f317(f10(f906(f906(x103112,x103111),a895),f906(f906(x103112,x103111),a895),x103111),f317(f20(f906(x103112,x103111),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x103112,x103111)),a315),f317(f317(f9(f906(x103112,x103111),f906(f906(x103112,x103111),a895),a895),f319(f906(x103112,x103111))),x103113)))),f317(f317(f9(x103111,f906(f906(x103112,x103111),x103111),f906(f906(x103112,x103111),a895)),f317(f317(f10(f906(x103111,a895),f906(f906(f906(x103112,x103111),x103111),f906(f906(x103112,x103111),a895)),x103111),f10(x103111,a895,f906(x103112,x103111))),a314)),f317(f317(f9(f906(x103112,x103111),x103112,x103111),f7(f906(x103112,x103111))),x103114)))))),f317(f32(f906(x103112,x103111),x103113),x103114))
% 184.03/183.90 [10312]~P5(x103121)+E(f32(x103121,f317(f252(x103121),f317(f317(f10(f906(f906(x103122,x103121),a895),a895,x103121),f81(f906(x103122,x103121))),f317(f317(f10(f906(f906(x103122,x103121),a895),f906(f906(x103122,x103121),a895),x103121),f317(f20(f906(x103122,x103121),a895,a895),f317(f317(f10(a895,f906(a895,a895),f906(x103122,x103121)),a315),f317(f317(f9(f906(x103122,x103121),f906(f906(x103122,x103121),a895),a895),f319(f906(x103122,x103121))),x103123)))),f317(f317(f9(x103121,f906(f906(x103122,x103121),x103121),f906(f906(x103122,x103121),a895)),f317(f317(f10(f906(x103121,a895),f906(f906(f906(x103122,x103121),x103121),f906(f906(x103122,x103121),a895)),x103121),f10(x103121,a895,f906(x103122,x103121))),a314)),f317(f317(f9(f906(x103122,x103121),x103122,x103121),f7(f906(x103122,x103121))),x103124)))))),f317(f32(f906(x103122,x103121),x103123),x103124))
% 184.03/183.90 [10361]~P1(f317(f317(f319(f905(x103611,x103611)),f317(f317(f242(x103611,x103611),x103613),x103614)),f317(f317(f91(f906(f905(x103611,x103611),a895)),x103612),f297(x103611,f178(f906(f905(x103611,x103611),a895))))))+P1(f317(f317(f317(f317(f91(f906(x103611,f906(x103611,a895))),f317(f317(f9(x103611,f906(f905(x103611,x103611),a895),f906(x103611,a895)),f317(f317(f10(f906(x103611,f906(f906(f905(x103611,x103611),a895),a895)),f906(f906(f905(x103611,x103611),a895),f906(x103611,a895)),x103611),f9(x103611,f906(f905(x103611,x103611),a895),a895)),f317(f317(f10(f906(x103611,f905(x103611,x103611)),f906(x103611,f906(f906(f905(x103611,x103611),a895),a895)),x103611),f317(f10(f905(x103611,x103611),f906(f906(f905(x103611,x103611),a895),a895),x103611),f319(f905(x103611,x103611)))),f242(x103611,x103611)))),x103612)),a314),x103613),x103614))
% 184.03/183.90 [10371]P1(f317(f317(f319(f905(x103711,x103711)),f317(f317(f242(x103711,x103711),x103712),x103713)),f317(f317(f91(f906(f905(x103711,x103711),a895)),x103714),f297(x103711,f178(f906(f905(x103711,x103711),a895))))))+~P1(f317(f317(f317(f317(f91(f906(x103711,f906(x103711,a895))),f317(f317(f9(x103711,f906(f905(x103711,x103711),a895),f906(x103711,a895)),f317(f317(f10(f906(x103711,f906(f906(f905(x103711,x103711),a895),a895)),f906(f906(f905(x103711,x103711),a895),f906(x103711,a895)),x103711),f9(x103711,f906(f905(x103711,x103711),a895),a895)),f317(f317(f10(f906(x103711,f905(x103711,x103711)),f906(x103711,f906(f906(f905(x103711,x103711),a895),a895)),x103711),f317(f10(f905(x103711,x103711),f906(f906(f905(x103711,x103711),a895),a895),x103711),f319(f905(x103711,x103711)))),f242(x103711,x103711)))),x103714)),a314),x103712),x103713))
% 184.03/183.90 [10319]E(f317(f317(f141(f900(x103191)),f317(f317(f141(x103191),x103192),f317(f132(f900(x103191),f900(x103191),f124(x103191),f103(x103191)),f317(f317(f144(f900(x103191),f900(x103191)),f146(f900(x103191),x103191,f103(x103191),f317(f317(f10(f900(x103191),f906(f900(x103191),f900(x103191)),x103191),f18(f900(x103191),f900(x103191))),f317(f317(f9(x103191,f900(x103191),f900(x103191)),f141(x103191)),f103(x103191))))),x103193)))),f169(x103191,f317(f317(f141(f900(x103191)),x103194),f317(f132(f900(f900(x103191)),f900(f900(x103191)),f124(f900(x103191)),f103(f900(x103191))),f317(f317(f144(f900(x103191),f900(f900(x103191))),f146(f900(f900(x103191)),x103191,f103(f900(x103191)),f317(f18(f906(f900(x103191),f900(f900(x103191))),x103191),f317(f317(f9(f900(x103191),f900(f900(x103191)),f900(f900(x103191))),f141(f900(x103191))),f103(f900(x103191)))))),x103193))))),f169(x103191,f317(f317(f141(f900(x103191)),f317(f317(f141(x103191),x103192),x103194)),x103193)))+~P1(f317(f305(f900(f900(x103191)),f170(x103191)),f317(f317(f141(f900(x103191)),f317(f317(f141(x103191),x103192),x103194)),x103193)))
% 184.03/183.90 [10360]~P1(f317(f28(x103602),f317(f252(x103602),x103604)))+P1(f317(f28(x103601),f317(f252(x103601),f317(f317(f10(f906(x103602,a895),a895,x103601),f81(x103602)),f317(f317(f9(x103601,f906(x103602,a895),f906(x103602,a895)),f317(f317(f10(f906(x103602,f906(a895,a895)),f906(f906(x103602,a895),f906(x103602,a895)),x103601),f20(x103602,a895,a895)),f317(f317(f10(f906(x103602,a895),f906(x103602,f906(a895,a895)),x103601),f317(f10(a895,f906(a895,a895),x103602),a315)),f317(f317(f9(x103601,f906(x103602,x103601),f906(x103602,a895)),f317(f317(f10(f906(x103601,a895),f906(f906(x103602,x103601),f906(x103602,a895)),x103601),f10(x103601,a895,x103602)),a314)),x103603)))),x103604)))))
% 184.03/183.90 [8874]P24(x88741,x88742,x88743,x88744)+~P25(x88741,x88742,x88743,x88744,x88745)
% 184.03/183.90 [5332]E(x53321,x53322)+~E(f159(x53323,x53321,x53324),f159(x53323,x53322,x53325))
% 184.03/183.90 [5333]E(x53331,x53332)+~E(f116(x53333,x53334,x53331),f116(x53333,x53335,x53332))
% 184.03/183.90 [5334]E(x53341,x53342)+~E(f116(x53343,x53341,x53344),f116(x53343,x53342,x53345))
% 184.03/183.90 [8200]~E(f317(x82003,x82004),x82005)+E(f69(x82001,x82002,x82003,x82004,x82005),x82003)
% 184.03/183.90 [8732]~E(f69(x87324,x87325,x87321,x87322,x87323),x87321)+E(f317(x87321,x87322),x87323)
% 184.03/183.90 [9348]~P25(x93482,x93481,x93484,x93483,x93485)+P25(x93481,x93482,f71(x93482,x93481,x93483,x93484),x93485,x93483)
% 184.03/183.90 [9349]~P25(x93492,x93491,x93494,x93493,x93495)+P25(x93491,x93492,f85(x93492,x93491,x93493,x93494),x93495,x93493)
% 184.03/183.90 [6153]P1(f317(f240(x61531,x61532,x61533),x61534))+~P1(f317(f317(x61533,x61535),x61534))
% 184.03/183.90 [6155]P1(f317(f239(x61551,x61552,x61553),x61554))+~P1(f317(f317(x61553,x61554),x61555))
% 184.03/183.90 [6643]~E(x66435,f2(a89))+E(f317(f186(x66431,x66432,x66433,x66434),x66435),f114(x66432))
% 184.03/183.90 [6644]~E(x66445,f2(a89))+E(f317(f188(x66441,x66442,x66443,x66444),x66445),f105(x66442))
% 184.03/183.90 [6784]~E(x67843,f2(a89))+E(f317(f263(x67841,x67842,x67843,x67844),x67845),f317(f242(x67841,x67842),x67845))
% 184.03/183.90 [7849]~P20(x78494,x78491,x78492,x78495)+E(f317(f67(x78491,x78491,x78491,f317(x78492,x78493)),f317(x78492,x78493)),f317(x78492,x78493))
% 184.03/183.90 [8241]~P16(x82415,x82411,x82412)+E(f317(f67(x82411,x82411,x82411,f317(x82412,x82413)),f317(x82412,x82414)),f317(f67(x82411,x82411,x82411,f317(x82412,x82414)),f317(x82412,x82413)))
% 184.03/183.90 [8567]P1(f317(f317(f319(f905(x85671,x85671)),f317(f317(f242(x85671,x85671),x85672),x85673)),f311(x85671,x85674,x85675)))+~P1(f317(f317(f225(a899),f317(x85674,x85672)),f317(x85674,x85673)))
% 184.03/183.90 [8660]~P1(f317(f317(f319(x86604),x86603),f289(x86604,x86601,x86602,x86605)))+P1(f317(f317(x86601,x86602),x86603))
% 184.03/183.90 [8661]~P1(f317(f317(f319(x86614),x86613),f280(x86614,x86611,x86612,x86615)))+P1(f317(f317(x86611,x86612),x86613))
% 184.03/183.90 [8662]~P1(f317(f317(f319(x86624),x86622),f289(x86624,x86621,x86625,x86623)))+P1(f317(f317(x86621,x86622),x86623))
% 184.03/183.90 [8663]~P1(f317(f317(f319(x86634),x86632),f280(x86634,x86631,x86635,x86633)))+P1(f317(f317(x86631,x86632),x86633))
% 184.03/183.90 [8744]~P25(x87441,x87443,x87445,x87442,x87444)+E(f317(f29(x87441),x87442),f317(f29(x87443),x87444))
% 184.03/183.90 [8792]~P25(x87921,x87922,x87923,x87924,x87925)+E(f317(f300(x87921,x87922,x87923),x87924),x87925)
% 184.03/183.90 [8812]~P56(x88122,x88121,x88125,x88123,x88124)+E(f317(f300(x88121,x88122,x88123),x88124),f232(f906(x88122,a895)))
% 184.03/183.90 [9256]~P33(x92561,x92562,x92563,x92564,x92565)+P33(x92561,x92562,x92563,f317(f158(x92561),x92564),f317(f158(x92562),x92565))
% 184.03/183.90 [9258]~P33(x92581,x92582,x92583,f317(f158(x92581),x92584),x92585)+P33(x92581,x92582,x92583,x92584,f317(f158(x92582),x92585))
% 184.03/183.90 [9259]~P33(x92591,x92592,x92593,x92594,f317(f158(x92592),x92595))+P33(x92591,x92592,x92593,f317(f158(x92591),x92594),x92595)
% 184.03/183.90 [9265]P33(x92651,x92652,x92653,x92654,x92655)+~P33(x92651,x92652,x92653,f317(f158(x92651),x92654),f317(f158(x92652),x92655))
% 184.03/183.90 [9679]P1(f317(f317(f319(f905(f900(x96791),f900(x96791))),f317(f317(f242(f900(x96791),f900(x96791)),f317(f317(f141(x96791),x96792),x96793)),f317(f317(f141(x96791),x96792),x96794))),f147(x96791,x96795)))+~P1(f317(f317(f319(f905(f900(x96791),f900(x96791))),f317(f317(f242(f900(x96791),f900(x96791)),x96793),x96794)),f147(x96791,x96795)))
% 184.03/183.90 [9680]P1(f317(f317(f319(f905(f900(x96801),f900(x96801))),f317(f317(f242(f900(x96801),f900(x96801)),f317(f317(f124(x96801),x96802),x96803)),f317(f317(f124(x96801),x96802),x96804))),f137(x96801,x96805)))+~P1(f317(f317(f319(f905(f900(x96801),f900(x96801))),f317(f317(f242(f900(x96801),f900(x96801)),x96803),x96804)),f137(x96801,x96805)))
% 184.03/183.90 [9876]E(f317(f317(f141(x98761),f635(x98762,x98763,x98764,x98765,x98761)),f638(x98762,x98763,x98764,x98765,x98761)),x98765)+~P1(f317(f317(f319(f905(f900(x98761),f900(x98761))),f317(f317(f242(f900(x98761),f900(x98761)),x98765),f317(f317(f141(x98761),x98764),x98763))),f148(x98761,x98762)))
% 184.03/183.90 [9897]E(f317(f317(f141(x98971),f636(x98972,x98973,x98974,x98975,x98971)),f637(x98972,x98973,x98974,x98975,x98971)),x98973)+~P1(f317(f317(f319(f905(f900(x98971),f900(x98971))),f317(f317(f242(f900(x98971),f900(x98971)),f317(f317(f141(x98971),x98975),x98974)),x98973)),f148(x98971,x98972)))
% 184.03/183.90 [10041]~P1(f317(f317(f319(f905(f900(x100411),f900(x100411))),f317(f317(f242(f900(x100411),f900(x100411)),f317(f317(f141(x100411),x100415),x100412)),x100414)),f148(x100411,x100413)))+P1(f317(f317(f319(f905(f900(x100411),f900(x100411))),f317(f317(f242(f900(x100411),f900(x100411)),x100412),f637(x100413,x100414,x100412,x100415,x100411))),f148(x100411,x100413)))
% 184.03/183.90 [10121]~P1(f317(f317(f319(f905(f900(x101211),f900(x101211))),f317(f317(f242(f900(x101211),f900(x101211)),x101215),f317(f317(f141(x101211),x101214),x101213))),f148(x101211,x101212)))+P1(f317(f317(f319(f905(f900(x101211),f900(x101211))),f317(f317(f242(f900(x101211),f900(x101211)),f638(x101212,x101213,x101214,x101215,x101211)),x101213)),f148(x101211,x101212)))
% 184.03/183.90 [10313]P1(f317(f317(f319(f905(x103131,x103131)),f317(f317(f242(x103131,x103131),f317(x103132,f317(f317(f74(a899),x103133),x103134))),f317(x103132,x103133))),f297(x103131,x103135)))+~P1(f317(f317(f319(f905(x103131,x103131)),f317(f317(f242(x103131,x103131),f317(x103132,f317(a102,f601(x103134,x103133,x103135,x103132,x103131)))),f317(x103132,f601(x103134,x103133,x103135,x103132,x103131)))),f297(x103131,x103135)))
% 184.03/183.90 [5306]E(x53061,x53062)+~E(f317(f317(f141(x53063),x53064),x53061),f317(f317(f141(x53063),x53065),x53062))
% 184.03/183.90 [5307]E(x53071,x53072)+~E(f317(f317(f141(x53073),x53071),x53074),f317(f317(f141(x53073),x53072),x53075))
% 184.03/183.90 [5349]P1(f317(x53491,x53492))+~E(f317(f126(x53493,x53491),x53494),f317(f317(f141(x53493),x53492),x53495))
% 184.03/183.90 [5350]P1(f317(x53501,x53502))+~E(f317(f317(f141(x53503),x53502),x53504),f317(f126(x53503,x53501),x53505))
% 184.03/183.90 [5511]~E(f317(f317(f128(x55111),x55113),x55112),f317(f317(f141(x55111),x55114),x55115))+E(f317(f317(f154(x55111),x55112),x55113),x55114)
% 184.03/183.90 [5651]~P14(x56514,x56515,x56511)+E(f317(f317(x56511,x56512),f317(f317(x56511,x56512),x56513)),f317(f317(x56511,x56512),x56513))
% 184.03/183.90 [6212]~E(x62124,f2(a89))+E(f317(f317(f107(x62121,x62122,x62123),x62124),x62125),f317(f317(f242(f900(x62122),x62121),f103(x62122)),x62125))
% 184.03/183.90 [6286]~P107(x62862)+~E(f317(f317(f138(x62861,x62862,x62863),x62864),x62865),f103(x62861))
% 184.03/183.90 [6684]E(x66841,x66842)+~E(f317(f317(f124(x66843),x66844),f317(f317(f141(x66843),x66841),f103(x66843))),f317(f317(f124(x66843),x66845),f317(f317(f141(x66843),x66842),f103(x66843))))
% 184.03/183.90 [6685]E(x66851,x66852)+~E(f317(f317(f124(x66853),x66851),f317(f317(f141(x66853),x66854),f103(x66853))),f317(f317(f124(x66853),x66852),f317(f317(f141(x66853),x66855),f103(x66853))))
% 184.03/183.90 [7009]E(f317(f317(f299(x70091),f317(x70092,x70093)),f317(f300(x70094,x70091,x70092),x70095)),f317(f300(x70094,x70091,x70092),x70095))+~P1(f317(f317(f319(x70094),x70093),x70095))
% 184.03/183.90 [7016]~P1(f317(x70164,f317(x70163,x70165)))+P1(f317(f317(f301(x70161,x70162,x70163),x70164),x70165))
% 184.03/183.90 [7019]~P1(f317(f317(x70193,x70195),x70194))+P1(f317(f317(f233(x70191,x70192,x70193),x70194),x70195))
% 184.03/183.90 [7116]~E(f317(f300(x71161,x71162,x71163),x71164),x71165)+E(f317(f300(f906(x71161,a895),f906(x71162,a895),f300(x71161,x71162,x71163)),f317(f298(x71161),x71164)),f317(f298(x71162),x71165))
% 184.03/183.90 [7144]E(f317(f261(x71441,x71442,x71443,x71444),x71445),f317(x71444,x71445))+~P1(f317(f317(f319(x71441),x71445),x71443))
% 184.03/183.90 [7458]P24(x74581,x74582,x74583,x74584)+~P24(x74581,x74582,x74583,f317(f317(f299(x74581),x74585),x74584))
% 184.03/183.90 [7563]~P1(f317(f317(f319(x75634),x75633),x75635))+P1(f317(f317(f319(x75631),f317(x75632,x75633)),f317(f300(x75634,x75631,x75632),x75635)))
% 184.03/183.90 [7584]~P107(x75842)+E(f140(x75841,x75842,x75843,f317(f126(x75841,x75844),x75845)),f317(f126(x75841,x75844),f140(x75841,x75842,x75843,x75845)))
% 184.03/183.90 [7615]P1(f317(x76151,f317(x76152,x76153)))+~P1(f317(f317(f301(x76154,x76155,x76152),x76151),x76153))
% 184.03/183.90 [7618]P1(f317(f317(x76181,x76182),x76183))+~P1(f317(f317(f233(x76184,x76185,x76181),x76183),x76182))
% 184.03/183.90 [7684]~P1(f317(f317(f319(x76843),f317(x76844,x76842)),x76845))+P1(f317(f317(f319(x76841),x76842),f317(f301(x76841,x76843,x76844),x76845)))
% 184.03/183.90 [8082]~P1(f317(f317(f319(x80825),x80823),f317(f301(x80825,x80821,x80822),x80824)))+P1(f317(f317(f319(x80821),f317(x80822,x80823)),x80824))
% 184.03/183.90 [8381]~P16(x83812,x83811,x83813)+E(f317(f132(x83811,x83812,f317(f9(x83812,x83811,x83811),x83813),x83814),f142(x83812,x83815)),f317(f317(f58(x83812,x83811,x83813),x83814),f317(f162(x83812),x83815)))
% 184.03/183.90 [8403]E(f317(x84031,f853(x84032,x84031,x84033,x84034)),x84034)+~P1(f317(f317(f319(x84035),x84034),f317(f300(x84033,x84035,x84031),x84032)))
% 184.03/183.90 [8707]~E(x87072,f317(f317(f141(x87071),x87074),x87075))+P1(f317(f317(f319(f905(f900(x87071),f900(x87071))),f317(f317(f242(f900(x87071),f900(x87071)),f103(x87071)),x87072)),f137(x87071,x87073)))
% 184.03/183.90 [8753]E(f317(x87531,f317(f85(x87532,x87533,x87534,x87531),x87535)),x87535)+~P1(f317(f317(f319(x87533),x87535),f317(f300(x87532,x87533,x87531),x87534)))
% 184.03/183.90 [8756]P24(x87561,x87562,f85(x87562,x87561,x87563,x87564),x87565)+~P1(f317(f317(f224(f906(x87561,a895)),x87565),f317(f300(x87562,x87561,x87564),x87563)))
% 184.03/183.90 [8763]~P33(x87631,x87633,x87635,x87632,x87634)+E(f317(f179(f900(x87631)),x87632),f317(f179(f900(x87633)),x87634))
% 184.03/183.90 [8774]P1(f317(f317(f224(f906(x87741,a895)),f317(f317(f34(x87742,f906(x87741,a895)),x87743),x87744)),f317(x87744,x87745)))+~P1(f317(f317(f319(x87742),x87745),x87743))
% 184.03/183.90 [8828]~P56(x88281,x88282,x88283,x88285,x88284)+E(f317(f300(x88281,x88282,x88283),f232(f906(x88281,a895))),x88284)
% 184.03/183.90 [9053]E(f317(f126(x90531,x90532),f725(x90533,x90534,x90535,x90532,x90531)),x90533)+~E(f317(f126(x90531,x90532),x90535),f317(f317(f141(x90531),x90534),x90533))
% 184.03/183.90 [9054]E(f317(f126(x90541,x90542),f727(x90543,x90542,x90544,x90545,x90541)),x90544)+~E(f317(f317(f141(x90541),x90545),x90544),f317(f126(x90541,x90542),x90543))
% 184.03/183.90 [9145]E(f317(f179(f900(x91451)),x91452),x91453)+~P1(f317(f317(f319(f905(f900(x91451),f900(x91451))),f317(f317(f242(f900(x91451),f900(x91451)),x91454),x91452)),f317(f133(x91451,x91455),x91453)))
% 184.03/183.90 [9146]E(f317(f179(f900(x91461)),x91462),x91463)+~P1(f317(f317(f319(f905(f900(x91461),f900(x91461))),f317(f317(f242(f900(x91461),f900(x91461)),x91462),x91464)),f317(f133(x91461,x91465),x91463)))
% 184.03/183.90 [9215]P1(f317(f317(f319(x92151),f853(x92152,x92153,x92151,x92154)),x92152))+~P1(f317(f317(f319(x92155),x92154),f317(f300(x92151,x92155,x92153),x92152)))
% 184.03/183.90 [9375]E(f317(f300(x93751,x93752,x93753),f893(x93754,x93753,x93751,x93755,x93752)),x93755)+~P1(f317(f317(f224(f906(x93752,a895)),x93755),f317(f300(x93751,x93752,x93753),x93754)))
% 184.03/183.90 [9697]P1(f317(f317(f319(f905(f900(x96971),f900(x96971))),f317(f317(f242(f900(x96971),f900(x96971)),f317(f317(f141(x96971),x96972),x96973)),f317(f317(f141(x96971),x96972),x96974))),f297(f900(x96971),f147(x96971,x96975))))+~P1(f317(f317(f319(f905(f900(x96971),f900(x96971))),f317(f317(f242(f900(x96971),f900(x96971)),x96973),x96974)),f297(f900(x96971),f147(x96971,x96975))))
% 184.03/183.90 [9728]~E(f317(x97283,f676(x97285,x97284,x97283,x97282,x97281)),f317(x97285,f676(x97285,x97284,x97283,x97282,x97281)))+E(f317(f317(f144(x97281,x97282),x97283),x97284),f317(f317(f144(x97281,x97282),x97285),x97284))
% 184.03/183.90 [9803]~E(f317(f126(x98031,x98035),x98034),f317(f317(f141(x98031),x98033),x98032))+E(f317(f317(f124(x98031),f726(x98032,x98033,x98034,x98035,x98031)),f317(f317(f141(x98031),x98033),f725(x98032,x98033,x98034,x98035,x98031))),x98034)
% 184.03/183.90 [9804]~E(f317(f317(f141(x98041),x98045),x98044),f317(f126(x98041,x98043),x98042))+E(f317(f317(f124(x98041),f728(x98042,x98043,x98044,x98045,x98041)),f317(f317(f141(x98041),x98045),f727(x98042,x98043,x98044,x98045,x98041))),x98042)
% 184.03/183.90 [9808]E(f317(f317(f144(x98081,x98082),x98083),x98084),f317(f317(f144(x98081,x98082),x98085),x98084))+P1(f317(f317(f319(x98081),f676(x98083,x98084,x98085,x98082,x98081)),f317(f162(x98081),x98084)))
% 184.03/183.90 [9838]~P1(f317(f317(f319(x98385),x98384),f317(f275(x98381,x98385,x98383),x98382)))+P1(f317(f317(f319(x98381),f491(x98382,x98383,x98381,x98384,x98385)),x98382))
% 184.03/183.90 [9839]~P1(f317(f317(f319(x98395),x98394),f317(f275(x98391,x98395,x98393),x98392)))+P1(f317(f317(f319(x98391),f497(x98392,x98393,x98391,x98394,x98395)),x98392))
% 184.03/183.90 [9869]~P1(f317(f317(f224(f906(x98695,a895)),x98694),f317(f300(x98691,x98695,x98693),x98692)))+P1(f317(f317(f224(f906(x98691,a895)),f893(x98692,x98693,x98691,x98694,x98695)),x98692))
% 184.03/183.90 [10314]E(x103141,f2(a89))+E(f213(f905(f900(x103142),x103143),f905(x103142,x103143),f317(f317(f242(f900(x103142),x103143),f103(x103142)),x103144),f317(f247(x103142,x103143,f905(f900(x103142),x103143)),f317(f317(f9(x103142,f906(x103143,f905(f900(x103142),x103143)),f906(x103143,f905(f900(x103142),x103143))),f317(f317(f10(f906(f905(f900(x103142),x103143),f905(f900(x103142),x103143)),f906(f906(x103143,f905(f900(x103142),x103143)),f906(x103143,f905(f900(x103142),x103143))),x103142),f10(f905(f900(x103142),x103143),f905(f900(x103142),x103143),x103143)),f317(f317(f10(f906(f900(x103142),f906(x103143,f905(f900(x103142),x103143))),f906(f905(f900(x103142),x103143),f905(f900(x103142),x103143)),x103142),f247(f900(x103142),x103143,f905(f900(x103142),x103143))),f317(f317(f10(f906(f900(x103142),f900(x103142)),f906(f900(x103142),f906(x103143,f905(f900(x103142),x103143))),x103142),f317(f10(f900(x103142),f906(x103143,f905(f900(x103142),x103143)),f900(x103142)),f242(f900(x103142),x103143))),f141(x103142))))),f317(f107(x103143,x103142,x103145),f317(f317(f3(a89),x103141),f72(a89))))),f317(x103145,x103144)),f317(f317(f107(x103143,x103142,x103145),x103141),x103144))
% 184.03/183.90 [6090]E(x60901,x60902)+~E(f317(f246(x60903,x60904),f317(f317(f242(x60903,x60904),x60905),x60901)),x60902)
% 184.03/183.90 [6091]E(x60911,x60912)+~E(f317(f241(x60913,x60914),f317(f317(f242(x60913,x60914),x60911),x60915)),x60912)
% 184.03/183.90 [6362]~E(x63623,f317(f317(f124(x63621),x63624),f317(f317(f141(x63621),x63622),x63625)))+P1(f317(f317(f319(x63621),x63622),f317(f162(x63621),x63623)))
% 184.03/183.90 [6771]E(f317(f300(x67711,x67712,f317(f18(x67712,x67711),x67713)),x67714),f317(f317(f299(x67712),x67713),f178(f906(x67712,a895))))+~P1(f317(f317(f319(x67711),x67715),x67714))
% 184.03/183.90 [6846]E(f317(f317(f91(f906(x68461,a895)),f317(f162(x68461),x68462)),f317(f162(x68461),x68463)),f317(f162(x68461),x68464))+~E(f156(x68461,x68465,x68464),f317(f317(f242(f900(x68461),f900(x68461)),x68462),x68463))
% 184.03/183.90 [6947]~P107(x69472)+E(f317(f179(f900(x69471)),f317(f317(f138(x69471,x69472,x69473),x69474),x69475)),f317(a102,f317(f179(f900(x69471)),x69475)))
% 184.03/183.90 [6961]~P107(x69612)+E(f317(f162(x69611),f317(f317(f138(x69611,x69612,x69613),x69614),x69615)),f317(f317(f299(x69611),x69614),f317(f162(x69611),x69615)))
% 184.03/183.90 [7238]~P120(x72381)+E(f317(f317(f75(x72381),f317(f317(f75(x72381),x72382),x72383)),f317(f317(f75(x72381),x72384),x72385)),f317(f317(f75(x72381),f317(f317(f75(x72381),x72382),x72384)),f317(f317(f75(x72381),x72383),x72385)))
% 184.03/183.90 [7239]~P120(x72391)+E(f317(f317(f74(x72391),f317(f317(f74(x72391),x72392),x72393)),f317(f317(f74(x72391),x72394),x72395)),f317(f317(f74(x72391),f317(f317(f74(x72391),x72392),x72394)),f317(f317(f74(x72391),x72393),x72395)))
% 184.03/183.90 [7240]~P61(x72401)+E(f317(f317(f281(x72401),f317(f317(f75(x72401),x72402),x72403)),f317(f317(f75(x72401),x72404),x72405)),f317(f317(f75(x72401),f317(f317(f281(x72401),x72402),x72404)),f317(f317(f281(x72401),x72403),x72405)))
% 184.03/183.90 [7254]~P107(x72541)+E(f296(x72541,f317(f317(f223(x72541),x72542),x72543),f317(f317(f228(x72541),x72544),x72545)),f317(f317(f92(f906(x72541,a895)),f296(x72541,x72542,x72544)),f296(x72541,x72543,x72545)))
% 184.03/183.90 [7255]~P107(x72551)+E(f293(x72551,f317(f317(f223(x72551),x72552),x72553),f317(f317(f228(x72551),x72554),x72555)),f317(f317(f92(f906(x72551,a895)),f293(x72551,x72552,x72554)),f293(x72551,x72553,x72555)))
% 184.03/183.90 [7256]~P107(x72561)+E(f295(x72561,f317(f317(f223(x72561),x72562),x72563),f317(f317(f228(x72561),x72564),x72565)),f317(f317(f92(f906(x72561,a895)),f295(x72561,x72562,x72564)),f295(x72561,x72563,x72565)))
% 184.03/183.90 [7257]~P107(x72571)+E(f317(f317(f92(f906(x72571,a895)),f317(f292(x72571,x72572),x72573)),f317(f292(x72571,x72574),x72575)),f317(f292(x72571,f317(f317(f223(x72571),x72572),x72574)),f317(f317(f228(x72571),x72573),x72575)))
% 184.03/183.90 [7377]~P1(f317(x73771,f443(x73773,x73772,x73771)))+P1(f317(x73771,f317(f317(f242(x73772,x73773),x73774),x73775)))
% 184.03/183.90 [7489]~E(x74892,f317(x74894,x74895))+P1(f317(f317(f319(x74891),x74892),f317(f300(x74893,x74891,x74894),f232(f906(x74893,a895)))))
% 184.03/183.90 [7561]~P16(x75613,x75612,x75614)+P16(x75611,x75612,f317(f317(f10(x75613,f906(x75612,x75612),x75611),x75614),x75615))
% 184.03/183.90 [7562]~P14(x75623,x75622,x75624)+P14(x75621,x75622,f317(f317(f10(x75623,f906(x75622,x75622),x75621),x75624),x75625))
% 184.03/183.90 [7701]~P24(x77011,x77012,x77013,x77014)+P24(x77011,x77012,x77013,f317(f317(f3(f906(x77011,a895)),x77014),x77015))
% 184.03/183.90 [7858]~P1(f317(f317(x78583,x78584),x78585))+P1(f317(f317(f247(x78581,x78582,a895),x78583),f317(f317(f242(x78581,x78582),x78584),x78585)))
% 184.03/183.90 [7972]~P1(f317(x79722,x79724))+~E(f317(f317(f128(x79721),f317(f179(f900(x79721)),f167(x79721,x79722,x79723))),x79723),f317(f317(f141(x79721),x79724),x79725))
% 184.03/183.90 [7992]P24(x79921,x79922,x79923,x79924)+~P24(x79921,x79922,x79923,f317(f317(f91(f906(x79921,a895)),x79925),x79924))
% 184.03/183.90 [7993]P24(x79931,x79932,x79933,x79934)+~P24(x79931,x79932,x79933,f317(f317(f91(f906(x79931,a895)),x79934),x79935))
% 184.03/183.90 [8040]~P107(x80402)+E(f317(f317(f138(x80401,x80402,x80403),x80404),f140(x80401,x80402,x80403,x80405)),f140(x80401,x80402,x80403,f317(f317(f141(x80401),x80404),x80405)))
% 184.03/183.90 [8358]~P14(x83582,x83581,x83583)+E(f317(f132(x83581,x83582,f317(f9(x83582,x83581,x83581),x83583),x83584),x83585),f317(f317(f58(x83582,x83581,x83583),x83584),f317(f162(x83582),x83585)))
% 184.03/183.90 [8386]~E(f317(f317(f128(x83861),f317(f179(f900(x83861)),f167(x83861,x83862,x83863))),x83863),f317(f317(f141(x83861),x83864),x83865))+E(f317(f317(f124(x83861),f167(x83861,x83862,x83863)),f317(f317(f141(x83861),x83864),x83865)),x83863)
% 184.03/183.90 [8413]P1(f317(f317(x84131,x84132),x84133))+~P1(f317(f317(f247(x84134,x84135,a895),x84131),f317(f317(f242(x84134,x84135),x84132),x84133)))
% 184.03/183.90 [8891]P1(f317(f317(f224(f906(x88911,a895)),f317(f300(x88912,x88911,x88913),x88914)),f317(f300(x88912,x88911,x88913),x88915)))+~P1(f317(f317(f224(f906(x88912,a895)),x88914),x88915))
% 184.03/183.90 [8892]P1(f317(f317(f224(f906(x88921,a895)),f317(f301(x88921,x88922,x88923),x88924)),f317(f301(x88921,x88922,x88923),x88925)))+~P1(f317(f317(f224(f906(x88922,a895)),x88924),x88925))
% 184.03/183.90 [8971]E(x89711,f2(a89))+E(f317(f317(f249(x89712,x89713,x89712,f905(x89713,x89712)),f317(x89714,x89715)),f263(x89713,x89712,f317(f317(f3(a89),x89711),f72(a89)),x89714)),f317(f263(x89713,x89712,x89711,x89714),x89715))
% 184.03/183.90 [9078]P1(f317(f317(f245(x90781,x90782,a895,x90783),x90784),x90785))+~P1(f317(x90783,f317(f317(f242(x90781,x90782),x90784),x90785)))
% 184.03/183.90 [9354]~P1(f317(f317(f245(x93542,x93543,a895,x93541),x93544),x93545))+P1(f317(x93541,f317(f317(f242(x93542,x93543),x93544),x93545)))
% 184.03/183.90 [9539]~P1(f317(f317(f319(x95392),x95395),f317(f300(x95391,x95392,x95394),x95393)))+P1(f317(f317(f319(x95391),f317(f85(x95391,x95392,x95393,x95394),x95395)),x95393))
% 184.03/183.90 [9638]~P1(f317(f28(x96383),f317(f300(x96382,x96383,x96385),f232(f906(x96382,a895)))))+P1(f317(f28(x96381),f317(f300(x96382,x96381,f317(f317(f10(x96383,x96381,x96382),x96384),x96385)),f232(f906(x96382,a895)))))
% 184.03/183.90 [9664]P1(f317(f317(f224(f906(f906(x96641,a895),a895)),f317(f300(f906(x96642,a895),f906(x96641,a895),f300(x96642,x96641,x96643)),f317(f298(x96642),x96644))),f317(f298(x96641),x96645)))+~P1(f317(f317(f224(f906(x96641,a895)),f317(f300(x96642,x96641,x96643),x96644)),x96645))
% 184.03/183.90 [9736]E(x97361,x97362)+~P1(f317(f60(x97363,x97364,x97365,x97361,f178(f906(x97363,a895))),x97362))
% 184.03/183.90 [9752]E(f317(f317(f242(x97521,x97522),f537(x97523,x97524,x97525,x97522,x97521)),f539(x97523,x97524,x97525,x97522,x97521)),x97525)+~P1(f317(f317(f319(f905(x97521,x97522)),x97525),f317(f317(f244(x97521,x97522),x97524),x97523)))
% 184.03/183.90 [9844]P1(f317(f317(f319(x98441),f537(x98442,x98443,x98444,x98445,x98441)),x98443))+~P1(f317(f317(f319(f905(x98441,x98445)),x98444),f317(f317(f244(x98441,x98445),x98443),x98442)))
% 184.03/183.90 [10000]P1(f317(f317(f319(x100001),f539(x100002,x100003,x100004,x100001,x100005)),f317(x100002,f537(x100002,x100003,x100004,x100001,x100005))))+~P1(f317(f317(f319(f905(x100005,x100001)),x100004),f317(f317(f244(x100005,x100001),x100003),x100002)))
% 184.03/183.90 [10020]P1(f317(f317(f319(f905(x100201,x100201)),f317(f317(f242(x100201,x100201),x100202),f620(x100203,x100204,x100205,x100202,x100201))),x100203))+~P1(f317(f317(f319(f905(x100201,x100201)),f317(f317(f242(x100201,x100201),x100202),x100205)),f317(f317(f173(f905(x100201,x100201),a895),f317(a102,x100204)),x100203)))
% 184.03/183.90 [10021]P1(f317(f317(f319(f905(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),f621(x100213,x100214,x100215,x100212,x100211))),x100213))+~P1(f317(f317(f319(f905(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),x100215)),f317(f317(f173(f905(x100211,x100211),a895),f317(a102,x100214)),x100213)))
% 184.03/183.90 [10038]~P1(f317(f317(f319(f905(f900(x100381),f900(x100381))),f317(f317(f242(f900(x100381),f900(x100381)),f317(f317(f141(x100381),x100382),x100385)),x100384)),f148(x100381,x100383)))+P1(f317(f317(f319(f905(x100381,x100381)),f317(f317(f242(x100381,x100381),x100382),f636(x100383,x100384,x100385,x100382,x100381))),x100383))
% 184.03/183.90 [6442]P1(f317(x64422,x64424))+E(f167(x64421,x64422,f317(f317(f124(x64421),x64423),f317(f317(f141(x64421),x64424),x64425))),f167(x64421,x64422,x64423))
% 184.03/183.90 [6491]~P66(x64912)+E(f317(f317(f317(f3(f906(x64911,x64912)),x64913),x64914),x64915),f317(f317(f3(x64912),f317(x64913,x64915)),f317(x64914,x64915)))
% 184.03/183.90 [6493]~P98(x64932)+E(f317(f317(f317(f91(f906(x64931,x64932)),x64933),x64934),x64935),f317(f317(f91(x64932),f317(x64933,x64935)),f317(x64934,x64935)))
% 184.03/183.90 [6495]~P98(x64952)+E(f317(f317(f317(f92(f906(x64951,x64952)),x64953),x64954),x64955),f317(f317(f92(x64952),f317(x64953,x64955)),f317(x64954,x64955)))
% 184.03/183.90 [6515]E(x65151,x65152)+E(f317(f317(f154(x65153),f317(f317(f149(x65153,x65154),x65151),x65155)),x65152),f317(f317(f154(x65153),x65154),x65152))
% 184.03/183.90 [6790]~E(x67904,f178(f906(x67903,a895)))+E(f317(f317(f3(f906(x67901,a895)),x67902),f317(f317(f35(x67903,f906(x67901,a895)),x67904),x67905)),x67902)
% 184.03/183.90 [6791]~E(x67914,f178(f906(x67913,a895)))+E(f317(f317(f91(f906(x67911,a895)),x67912),f317(f317(f35(x67913,f906(x67911,a895)),x67914),x67915)),x67912)
% 184.03/183.90 [6792]~E(x67924,f178(f906(x67923,a895)))+E(f317(f317(f92(f906(x67921,a895)),x67922),f317(f317(f34(x67923,f906(x67921,a895)),x67924),x67925)),x67922)
% 184.03/183.90 [6808]~E(x68084,f178(f906(x68083,a895)))+E(f317(f317(f299(x68081),x68082),f317(f317(f35(x68083,f906(x68081,a895)),x68084),x68085)),f317(f317(f299(x68081),x68082),f178(f906(x68081,a895))))
% 184.03/183.90 [7607]E(f317(f317(f154(x76071),f317(f317(f144(x76072,x76071),x76073),x76074)),x76075),f317(x76073,f317(f317(f154(x76072),x76074),x76075)))+~P1(f317(f317(f225(a899),x76075),f317(f179(f900(x76072)),x76074)))
% 184.03/183.90 [7672]E(f317(f317(f91(f906(x76721,a895)),f317(x76722,x76723)),f317(f317(f35(x76724,f906(x76721,a895)),x76725),x76722)),f317(f317(f35(x76724,f906(x76721,a895)),x76725),x76722))+~P1(f317(f317(f319(x76724),x76723),x76725))
% 184.03/183.90 [7673]E(f317(f317(f92(f906(x76731,a895)),f317(x76732,x76733)),f317(f317(f34(x76734,f906(x76731,a895)),x76735),x76732)),f317(f317(f34(x76734,f906(x76731,a895)),x76735),x76732))+~P1(f317(f317(f319(x76734),x76733),x76735))
% 184.03/183.90 [8280]~E(x82803,f178(f906(x82801,a895)))+E(f317(f317(f35(x82801,f906(x82802,a895)),x82803),f317(f317(f10(f906(x82802,a895),f906(x82802,a895),x82801),f317(f299(x82802),x82804)),x82805)),f178(f906(x82802,a895)))
% 184.03/183.90 [8285]~P1(f317(f317(f319(x82854),x82853),x82855))+P1(f317(f317(f224(f906(x82851,a895)),f317(x82852,x82853)),f317(f317(f35(x82854,f906(x82851,a895)),x82855),x82852)))
% 184.03/183.90 [8412]~E(f317(x84124,x84122),x84125)+P1(f317(f317(f319(x84121),x84122),f317(f301(x84121,x84123,x84124),f317(f317(f299(x84123),x84125),f178(f906(x84123,a895))))))
% 184.03/183.90 [8459]~P54(x84591,x84592,f317(f276(x84592,x84591),x84593))+E(f317(f317(f92(f906(x84591,a895)),f317(f275(x84592,x84591,x84593),x84594)),f317(f275(x84592,x84591,x84593),x84595)),f317(f275(x84592,x84591,x84593),f317(f317(f92(f906(x84592,a895)),x84594),x84595)))
% 184.03/183.90 [8536]E(x85361,f2(a89))+E(f317(f108(x85362,x85363,f317(x85364,f317(f317(f3(a89),x85361),f72(a89)))),f317(f317(f9(x85362,a89,f901(x85363)),x85365),x85361)),f317(f188(x85362,x85363,x85364,x85365),x85361))
% 184.03/183.90 [8574]E(x85741,f178(f906(x85742,a895)))+E(f317(f317(f35(x85742,f906(x85743,a895)),x85741),f317(f317(f10(f906(x85743,a895),f906(x85743,a895),x85742),f317(f299(x85743),x85744)),x85745)),f317(f317(f299(x85743),x85744),f317(f317(f35(x85742,f906(x85743,a895)),x85741),x85745)))
% 184.03/183.90 [8625]~P24(x86252,x86251,x86253,f232(f906(x86252,a895)))+E(f317(f317(f3(f906(x86251,a895)),f317(f300(x86252,x86251,x86253),x86254)),f317(f300(x86252,x86251,x86253),x86255)),f317(f300(x86252,x86251,x86253),f317(f317(f3(f906(x86252,a895)),x86254),x86255)))
% 184.03/183.90 [8626]~P24(x86262,x86261,x86263,f232(f906(x86262,a895)))+E(f317(f317(f92(f906(x86261,a895)),f317(f300(x86262,x86261,x86263),x86264)),f317(f300(x86262,x86261,x86263),x86265)),f317(f300(x86262,x86261,x86263),f317(f317(f92(f906(x86262,a895)),x86264),x86265)))
% 184.03/183.90 [8694]~P1(f317(f317(f61(x86941,x86942,x86945),x86943),x86944))+P1(f317(f317(f319(f905(x86941,x86942)),f317(f317(f242(x86941,x86942),x86943),x86944)),x86945))
% 184.03/183.90 [8726]P1(f317(f317(f319(x87261),x87262),f317(f274(x87263,x87261),x87264)))+~P1(f317(f317(f319(f905(x87263,x87261)),f317(f317(f242(x87263,x87261),x87265),x87262)),x87264))
% 184.03/183.90 [8728]P1(f317(f317(f319(x87281),x87282),f317(f254(x87281,x87283),x87284)))+~P1(f317(f317(f319(f905(x87281,x87283)),f317(f317(f242(x87281,x87283),x87282),x87285)),x87284))
% 184.03/183.90 [8875]P1(f317(f317(f61(x88751,x88752,x88753),x88754),x88755))+~P1(f317(f317(f319(f905(x88751,x88752)),f317(f317(f242(x88751,x88752),x88754),x88755)),x88753))
% 184.03/183.90 [8914]E(f317(x89141,x89142),x89143)+~P1(f317(f317(f319(x89144),x89142),f317(f301(x89144,x89145,x89141),f317(f317(f299(x89145),x89143),f178(f906(x89145,a895))))))
% 184.03/183.90 [9142]P1(f317(f317(f319(f905(x91421,x91422)),f317(f317(f242(x91421,x91422),x91423),x91424)),f317(f276(x91422,x91421),x91425)))+~P1(f317(f317(f319(f905(x91422,x91421)),f317(f317(f242(x91422,x91421),x91424),x91423)),x91425))
% 184.03/183.90 [9160]~P1(f317(f317(x91601,x91605),x91604))+P1(f317(f317(x91601,f317(f246(x91602,x91603),f317(f317(f242(x91602,x91603),x91604),x91605))),f317(f241(x91602,x91603),f317(f317(f242(x91602,x91603),x91604),x91605))))
% 184.03/183.90 [9190]~P1(f317(f317(f319(f905(x91902,x91901)),f317(f317(f242(x91902,x91901),x91904),x91903)),f317(f276(x91901,x91902),x91905)))+P1(f317(f317(f319(f905(x91901,x91902)),f317(f317(f242(x91901,x91902),x91903),x91904)),x91905))
% 184.03/183.90 [9222]~P1(f317(f317(f319(f905(x92223,x92221)),f317(f317(f242(x92223,x92221),x92225),x92222)),x92224))+P1(f317(f317(f319(x92221),x92222),f317(f275(x92223,x92221,x92224),f317(f317(f299(x92223),x92225),f178(f906(x92223,a895))))))
% 184.03/183.90 [9269]P1(f317(f317(f319(f905(x92691,x92692)),f317(f317(f242(x92691,x92692),x92693),x92694)),x92695))+~P1(f317(f317(f319(x92692),x92694),f317(f275(x92691,x92692,x92695),f317(f317(f299(x92691),x92693),f178(f906(x92691,a895))))))
% 184.03/183.90 [9361]~P70(x93611)+E(f317(f317(f8(a899,x93611),x93612),f293(a899,f317(f317(f74(a899),x93613),x93614),f317(f317(f74(a899),x93615),x93614))),f317(f317(f8(a899,x93611),f317(f317(f10(a899,x93611,a899),x93612),f317(f317(f9(a899,a899,a899),f74(a899)),x93614))),f293(a899,x93613,x93615)))
% 184.03/183.90 [9380]~P70(x93801)+E(f317(f317(f8(a899,x93801),x93802),f317(f292(a899,f317(f317(f74(a899),x93803),x93804)),f317(f317(f74(a899),x93805),x93804))),f317(f317(f8(a899,x93801),f317(f317(f10(a899,x93801,a899),x93802),f317(f317(f9(a899,a899,a899),f74(a899)),x93804))),f317(f292(a899,x93803),x93805)))
% 184.03/183.90 [9439]~P24(x94391,x94392,x94393,f232(f906(x94391,a895)))+E(f317(f317(f144(x94391,x94392),x94393),f317(f126(x94391,f317(f317(f10(a895,a895,x94391),a312),f317(a314,x94394))),x94395)),f317(f126(x94392,f317(f317(f10(a895,a895,x94392),a312),f317(a314,f317(x94393,x94394)))),f317(f317(f144(x94391,x94392),x94393),x94395)))
% 184.03/183.90 [9457]~P24(x94571,x94572,x94573,f317(f317(f299(x94571),x94574),f317(f162(x94571),x94575)))+E(f317(f317(f144(x94571,x94572),x94573),f317(f126(x94571,f317(f317(f10(a895,a895,x94571),a312),f317(a314,x94574))),x94575)),f317(f126(x94572,f317(f317(f10(a895,a895,x94572),a312),f317(a314,f317(x94573,x94574)))),f317(f317(f144(x94571,x94572),x94573),x94575)))
% 184.03/183.90 [9626]P1(f317(f317(f319(f905(f900(x96261),f900(x96261))),f317(f317(f242(f900(x96261),f900(x96261)),f317(f317(f141(x96261),x96262),x96263)),f317(f317(f141(x96261),x96264),x96263))),f147(x96261,x96265)))+~P1(f317(f317(f319(f905(x96261,x96261)),f317(f317(f242(x96261,x96261),x96262),x96264)),x96265))
% 184.03/183.90 [9747]E(f317(f317(f299(x97471),f446(x97472,x97473,x97474,x97475,x97471)),f458(x97472,x97473,x97474,x97475,x97471)),f317(f317(f299(x97471),x97474),x97473))+~P1(f317(f56(x97471,x97475,f317(f317(f299(x97471),x97474),x97473)),x97472))
% 184.03/183.90 [9748]E(f317(f317(f299(x97481),f467(x97482,x97483,x97484,x97485,x97481)),f474(x97482,x97483,x97484,x97485,x97481)),f317(f317(f299(x97481),x97484),x97483))+~P1(f317(f56(x97481,x97485,f317(f317(f299(x97481),x97484),x97483)),x97482))
% 184.03/183.90 [9829]P1(f317(f317(f319(x98291),f481(x98292,x98293,x98294,x98295,x98291)),x98294))+P1(f317(f317(f317(f34(x98291,f906(x98295,a895)),x98294),x98293),x98292))
% 184.03/183.90 [9834]P1(f317(f317(f319(x98341),f476(x98342,x98343,x98341,x98344,x98345)),x98343))+P1(f317(f317(f319(x98345),x98344),f317(f317(f34(x98341,f906(x98345,a895)),x98343),x98342)))
% 184.03/183.90 [9842]P1(f317(f317(f319(x98421),f468(x98422,x98423,x98421,x98424,x98425)),x98423))+P1(f317(f317(f224(f906(x98425,a895)),x98424),f317(f317(f34(x98421,f906(x98425,a895)),x98423),x98422)))
% 184.03/183.90 [9843]P1(f317(f317(f319(x98431),f816(x98432,x98433,x98434,x98435,x98431)),x98435))+P1(f317(f317(f224(f906(x98434,a895)),x98433),f317(f317(f34(x98431,f906(x98434,a895)),x98435),x98432)))
% 184.03/183.90 [9845]P1(f317(f317(x98451,f482(x98452,x98451,x98453,x98454,x98455)),x98452))+~P1(f317(f317(f317(f35(x98455,f906(x98454,a895)),x98453),x98451),x98452))
% 184.03/183.90 [9849]P1(f317(f317(f319(x98491),f482(x98492,x98493,x98494,x98495,x98491)),x98494))+~P1(f317(f317(f317(f35(x98491,f906(x98495,a895)),x98494),x98493),x98492))
% 184.03/183.90 [9850]P52(x98504,f317(f317(f34(x98501,f906(x98504,a895)),x98505),x98503),f317(f317(f34(x98501,f906(f905(x98504,x98504),a895)),x98505),x98502))+P1(f317(f317(f319(x98501),f755(x98502,x98503,x98504,x98505,x98501)),x98505))
% 184.03/183.90 [9851]P52(x98514,f317(f317(f35(x98511,f906(x98514,a895)),x98515),x98513),f317(f317(f35(x98511,f906(f905(x98514,x98514),a895)),x98515),x98512))+P1(f317(f317(f319(x98511),f812(x98512,x98513,x98514,x98515,x98511)),x98515))
% 184.03/183.90 [9861]P1(f317(f317(f319(x98611),f478(x98612,x98613,x98611,x98614,x98615)),x98613))+~P1(f317(f317(f319(x98615),x98614),f317(f317(f35(x98611,f906(x98615,a895)),x98613),x98612)))
% 184.03/183.90 [9867]P1(f317(f317(f319(x98671),x98672),f317(x98673,f478(x98673,x98674,x98675,x98672,x98671))))+~P1(f317(f317(f319(x98671),x98672),f317(f317(f35(x98675,f906(x98671,a895)),x98674),x98673)))
% 184.03/183.90 [9949]~P1(f317(f317(x99494,f481(x99495,x99494,x99493,x99492,x99491)),x99495))+P1(f317(f317(f317(f34(x99491,f906(x99492,a895)),x99493),x99494),x99495))
% 184.03/183.90 [9952]~P1(f317(f317(f319(x99521),x99522),f317(x99525,f476(x99525,x99524,x99523,x99522,x99521))))+P1(f317(f317(f319(x99521),x99522),f317(f317(f34(x99523,f906(x99521,a895)),x99524),x99525)))
% 184.03/183.90 [9956]~P52(x99561,f317(x99564,f755(x99565,x99564,x99561,x99563,x99562)),f317(x99565,f755(x99565,x99564,x99561,x99563,x99562)))+P52(x99561,f317(f317(f34(x99562,f906(x99561,a895)),x99563),x99564),f317(f317(f34(x99562,f906(f905(x99561,x99561),a895)),x99563),x99565))
% 184.03/183.90 [9957]~P52(x99571,f317(x99574,f812(x99575,x99574,x99571,x99573,x99572)),f317(x99575,f812(x99575,x99574,x99571,x99573,x99572)))+P52(x99571,f317(f317(f35(x99572,f906(x99571,a895)),x99573),x99574),f317(f317(f35(x99572,f906(f905(x99571,x99571),a895)),x99573),x99575))
% 184.03/183.90 [9958]~P1(f317(f317(f224(f906(x99581,a895)),x99582),f317(x99585,f468(x99585,x99584,x99583,x99582,x99581))))+P1(f317(f317(f224(f906(x99581,a895)),x99582),f317(f317(f34(x99583,f906(x99581,a895)),x99584),x99585)))
% 184.03/183.90 [9959]~P1(f317(f317(f224(f906(x99591,a895)),x99592),f317(x99595,f816(x99595,x99592,x99591,x99594,x99593))))+P1(f317(f317(f224(f906(x99591,a895)),x99592),f317(f317(f34(x99593,f906(x99591,a895)),x99594),x99595)))
% 184.03/183.90 [10024]~P1(f317(f317(f319(x100241),f446(x100245,x100244,x100243,x100242,x100241)),f458(x100245,x100244,x100243,x100242,x100241)))+~P1(f317(f56(x100241,x100242,f317(f317(f299(x100241),x100243),x100244)),x100245))
% 184.03/183.90 [10025]~P1(f317(f317(f319(x100251),f467(x100255,x100254,x100253,x100252,x100251)),f474(x100255,x100254,x100253,x100252,x100251)))+~P1(f317(f56(x100251,x100252,f317(f317(f299(x100251),x100253),x100254)),x100255))
% 184.03/183.90 [10026]~P1(f317(f317(f319(f905(x100261,x100261)),f317(f317(f242(x100261,x100261),x100262),x100265)),f317(f317(f173(f905(x100261,x100261),a895),f317(a102,x100264)),x100263)))+P1(f317(f317(f319(f905(x100261,x100261)),f317(f317(f242(x100261,x100261),x100262),f622(x100263,x100264,x100265,x100262,x100261))),f317(f317(f173(f905(x100261,x100261),a895),x100264),x100263)))
% 184.03/183.90 [10032]P1(f317(f60(x100321,x100321,x100322,f446(x100323,x100324,x100325,x100322,x100321),f458(x100323,x100324,x100325,x100322,x100321)),x100323))+~P1(f317(f56(x100321,x100322,f317(f317(f299(x100321),x100325),x100324)),x100323))
% 184.03/183.90 [10033]P1(f317(f60(x100331,x100331,x100332,f467(x100333,x100334,x100335,x100332,x100331),f474(x100333,x100334,x100335,x100332,x100331)),x100333))+~P1(f317(f56(x100331,x100332,f317(f317(f299(x100331),x100335),x100334)),x100333))
% 184.03/183.90 [10043]~P107(x100431)+P13(x100431,f317(f317(f144(x100432,x100431),x100433),f317(f126(x100432,f317(f317(f9(x100432,x100431,a895),f317(f317(f10(x100431,f906(x100431,a895),x100432),a314),x100433)),f317(x100434,x100435))),x100435)))
% 184.03/183.90 [10093]~P1(f317(f317(f319(x100932),x100935),f317(f275(x100931,x100932,x100934),x100933)))+P1(f317(f317(f319(f905(x100931,x100932)),f317(f317(f242(x100931,x100932),f491(x100933,x100934,x100931,x100935,x100932)),x100935)),x100934))
% 184.03/183.90 [10094]~P1(f317(f317(f319(x100942),x100945),f317(f275(x100941,x100942,x100944),x100943)))+P1(f317(f317(f319(f905(x100941,x100942)),f317(f317(f242(x100941,x100942),f497(x100943,x100944,x100941,x100945,x100942)),x100945)),x100944))
% 184.03/183.90 [10114]~P1(f317(f317(f319(f905(x101141,x101141)),f317(f317(f242(x101141,x101141),x101145),x101144)),f317(f317(f173(f905(x101141,x101141),a895),f317(a102,x101143)),x101142)))+P1(f317(f317(f319(f905(x101141,x101141)),f317(f317(f242(x101141,x101141),f622(x101142,x101143,x101144,x101145,x101141)),x101144)),x101142))
% 184.03/183.90 [10117]~P1(f317(f317(f319(f905(x101171,x101171)),f317(f317(f242(x101171,x101171),x101175),x101174)),f317(f317(f173(f905(x101171,x101171),a895),f317(a102,x101173)),x101172)))+P1(f317(f317(f319(f905(x101171,x101171)),f317(f317(f242(x101171,x101171),f620(x101172,x101173,x101174,x101175,x101171)),x101174)),f317(f317(f173(f905(x101171,x101171),a895),x101173),x101172)))
% 184.03/183.90 [10118]~P1(f317(f317(f319(f905(x101181,x101181)),f317(f317(f242(x101181,x101181),x101185),x101184)),f317(f317(f173(f905(x101181,x101181),a895),f317(a102,x101183)),x101182)))+P1(f317(f317(f319(f905(x101181,x101181)),f317(f317(f242(x101181,x101181),f621(x101182,x101183,x101184,x101185,x101181)),x101184)),f317(f317(f173(f905(x101181,x101181),a895),x101183),x101182)))
% 184.03/183.90 [10119]~P1(f317(f317(f319(f905(f900(x101191),f900(x101191))),f317(f317(f242(f900(x101191),f900(x101191)),x101195),f317(f317(f141(x101191),x101194),x101193))),f148(x101191,x101192)))+P1(f317(f317(f319(f905(x101191,x101191)),f317(f317(f242(x101191,x101191),f635(x101192,x101193,x101194,x101195,x101191)),x101194)),x101192))
% 184.03/183.90 [7693]~E(x76933,f178(f906(x76932,a895)))+E(f317(f317(f91(f906(x76931,a895)),f317(f317(f35(x76932,f906(x76931,a895)),x76933),x76934)),x76935),x76935)
% 184.03/183.90 [7694]~E(x76943,f178(f906(x76942,a895)))+E(f317(f317(f92(f906(x76941,a895)),f317(f317(f34(x76942,f906(x76941,a895)),x76943),x76944)),x76945),x76945)
% 184.03/183.90 [8121]~E(x81213,f178(f906(x81212,a895)))+E(f317(f317(f3(f906(x81211,a895)),f317(f317(f34(x81212,f906(x81211,a895)),x81213),x81214)),x81215),f317(f317(f3(f906(x81211,a895)),f232(f906(x81211,a895))),x81215))
% 184.03/183.90 [8254]E(f317(f317(f149(x82541,f317(f317(f124(x82541),x82542),x82543)),x82544),x82545),f317(f317(f124(x82541),f317(f317(f149(x82541,x82542),x82544),x82545)),x82543))+~P1(f317(f317(f225(a899),x82544),f317(f179(f900(x82541)),x82542)))
% 184.03/183.90 [8526]E(f317(f317(f154(x85261),f317(f317(f144(a899,x85261),x85262),f129(a899,f317(f292(a899,x85263),x85264)))),x85265),f317(x85262,f317(f317(f74(a899),x85263),x85265)))+~P1(f317(f317(f225(a899),x85265),f317(f317(f3(a899),x85264),x85263)))
% 184.03/183.90 [8540]E(x85401,f2(a89))+E(f112(x85402,x85403,f317(x85404,f317(f317(f3(a89),x85401),f72(a89))),f317(f317(f9(x85402,a89,f901(f902(x85403))),x85405),x85401)),f317(f186(x85402,x85403,x85404,x85405),x85401))
% 184.03/183.90 [8564]~E(x85643,f178(f906(x85641,a895)))+E(f317(f317(f34(x85641,f906(x85642,a895)),x85643),f317(f317(f10(f906(x85642,a895),f906(x85642,a895),x85641),f317(f3(f906(x85642,a895)),x85644)),x85645)),f232(f906(x85642,a895)))
% 184.03/183.90 [8565]~E(x85653,f178(f906(x85651,a895)))+E(f317(f317(f34(x85651,f906(x85652,a895)),x85653),f317(f317(f10(f906(x85652,a895),f906(x85652,a895),x85651),f317(f92(f906(x85652,a895)),x85654)),x85655)),f232(f906(x85652,a895)))
% 184.03/183.90 [8566]~E(x85663,f178(f906(x85661,a895)))+E(f317(f317(f35(x85661,f906(x85662,a895)),x85663),f317(f317(f10(f906(x85662,a895),f906(x85662,a895),x85661),f317(f91(f906(x85662,a895)),x85664)),x85665)),f178(f906(x85662,a895)))
% 184.03/183.90 [8568]~P146(x85682)+E(f317(f317(f8(x85681,x85682),f317(f317(f10(x85682,x85682,x85681),f317(f75(x85682),x85683)),x85684)),x85685),f317(f317(f75(x85682),x85683),f317(f317(f8(x85681,x85682),x85684),x85685)))
% 184.03/183.90 [8859]E(x88591,f178(f906(x88592,a895)))+E(f317(f317(f34(x88592,f906(x88593,a895)),x88591),f317(f317(f10(f906(x88593,a895),f906(x88593,a895),x88592),f317(f3(f906(x88593,a895)),x88594)),x88595)),f317(f317(f3(f906(x88593,a895)),x88594),f317(f317(f35(x88592,f906(x88593,a895)),x88591),x88595)))
% 184.03/183.90 [8860]E(x88601,f178(f906(x88602,a895)))+E(f317(f317(f34(x88602,f906(x88603,a895)),x88601),f317(f317(f10(f906(x88603,a895),f906(x88603,a895),x88602),f317(f92(f906(x88603,a895)),x88604)),x88605)),f317(f317(f92(f906(x88603,a895)),x88604),f317(f317(f34(x88602,f906(x88603,a895)),x88601),x88605)))
% 184.03/183.90 [8861]E(x88611,f178(f906(x88612,a895)))+E(f317(f317(f35(x88612,f906(x88613,a895)),x88611),f317(f317(f10(f906(x88613,a895),f906(x88613,a895),x88612),f317(f91(f906(x88613,a895)),x88614)),x88615)),f317(f317(f91(f906(x88613,a895)),x88614),f317(f317(f35(x88612,f906(x88613,a895)),x88611),x88615)))
% 184.03/183.90 [9060]~P1(f317(f317(f225(a899),f317(x90604,x90602)),f317(x90604,x90603)))+P1(f317(f317(f319(f905(x90601,x90601)),f317(f317(f242(x90601,x90601),x90602),x90603)),f143(x90601,f317(f317(f141(f906(x90601,a899)),x90604),x90605))))
% 184.03/183.90 [9325]~P24(x93252,x93251,x93253,f317(f317(f91(f906(x93252,a895)),x93254),x93255))+E(f317(f317(f92(f906(x93251,a895)),f317(f300(x93252,x93251,x93253),f317(f317(f3(f906(x93252,a895)),x93254),x93255))),f317(f300(x93252,x93251,x93253),f317(f317(f3(f906(x93252,a895)),x93255),x93254))),f178(f906(x93251,a895)))
% 184.03/183.90 [9588]~P24(x95883,x95881,x95885,f232(f906(x95883,a895)))+E(f317(f67(x95881,x95882,x95883,f317(f67(x95883,x95882,x95881,x95884),f85(x95883,x95881,f232(f906(x95883,a895)),x95885))),x95885),x95884)
% 184.03/183.90 [9622]~P1(f317(f317(f224(f906(x96223,a895)),f317(f275(x96221,x96223,x96224),x96222)),x96225))+P1(f317(f317(f224(f906(x96221,a895)),x96222),f317(f73(f906(x96221,a895)),f317(f275(x96223,x96221,f317(f276(x96221,x96223),x96224)),f317(f73(f906(x96223,a895)),x96225)))))
% 184.03/183.90 [9647]~P24(x96471,x96472,x96473,f317(f317(f299(x96471),x96474),x96475))+~P1(f317(f317(f319(x96472),f317(x96473,x96474)),f317(f300(x96471,x96472,x96473),f317(f317(f3(f906(x96471,a895)),x96475),f317(f317(f299(x96471),x96474),f178(f906(x96471,a895)))))))
% 184.03/183.90 [9701]P1(f317(f317(f224(f906(x97011,a895)),f317(f275(x97012,x97011,x97013),x97014)),x97015))+~P1(f317(f317(f224(f906(x97012,a895)),x97014),f317(f73(f906(x97012,a895)),f317(f275(x97011,x97012,f317(f276(x97012,x97011),x97013)),f317(f73(f906(x97011,a895)),x97015)))))
% 184.03/183.90 [9774]~P85(x97741)+P1(f317(f317(f224(x97741),f317(f70(x97741),f317(f317(f3(x97741),f317(f317(f74(x97741),x97742),x97743)),f317(f317(f74(x97741),x97744),x97745)))),f317(f317(f74(x97741),f317(f70(x97741),f317(f317(f3(x97741),x97742),x97744))),f317(f70(x97741),f317(f317(f3(x97741),x97743),x97745)))))
% 184.03/183.90 [9883]P1(f317(f317(f319(x98831),f469(x98832,x98833,x98834,x98831,x98835)),x98834))+P1(f317(f317(f224(f906(x98835,a895)),f317(f317(f35(x98831,f906(x98835,a895)),x98834),x98833)),x98832))
% 184.03/183.90 [10061]~P1(f317(f317(f224(f906(x100611,a895)),f317(x100614,f469(x100615,x100614,x100613,x100612,x100611))),x100615))+P1(f317(f317(f224(f906(x100611,a895)),f317(f317(f35(x100612,f906(x100611,a895)),x100613),x100614)),x100615))
% 184.03/183.90 [8673]E(f317(f317(f124(x86731),x86732),f317(f317(f149(x86731,x86733),f317(f317(f3(a899),x86734),f317(f179(f900(x86731)),x86732))),x86735)),f317(f317(f149(x86731,f317(f317(f124(x86731),x86732),x86733)),x86734),x86735))+P1(f317(f317(f225(a899),x86734),f317(f179(f900(x86731)),x86732)))
% 184.03/183.90 [8701]~P139(x87011)+E(f317(f317(f74(x87011),f317(f317(f75(x87011),x87012),x87013)),f317(f317(f74(x87011),f317(f317(f75(x87011),x87014),x87013)),x87015)),f317(f317(f74(x87011),f317(f317(f75(x87011),f317(f317(f74(x87011),x87012),x87014)),x87013)),x87015))
% 184.03/183.90 [9278]~P146(x92781)+E(f317(f155(x92781),f317(f317(f144(x92782,x92781),f317(f317(f10(x92781,x92781,x92782),f317(f75(x92781),x92783)),x92784)),x92785)),f317(f317(f75(x92781),x92783),f317(f155(x92781),f317(f317(f144(x92782,x92781),x92784),x92785))))
% 184.03/183.90 [9456]E(f317(f179(f900(x94561)),f317(f317(f165(x94561),f317(f317(f228(a899),f317(f179(f900(x94561)),x94562)),f317(f179(f900(x94563)),x94564))),x94562)),f317(f179(f900(x94563)),f317(f317(f165(x94563),f317(f317(f228(a899),f317(f179(f900(x94561)),x94562)),f317(f179(f900(x94563)),x94564))),x94564)))+P1(f317(x94565,f317(f317(f171(x94561,x94563),x94562),x94564)))
% 184.03/183.90 [9711]~P146(x97112)+E(f317(f317(f8(x97111,x97112),f317(f317(f9(x97111,x97112,x97112),f317(f317(f10(x97112,f906(x97112,x97112),x97111),f75(x97112)),x97113)),x97114)),x97115),f317(f317(f75(x97112),f317(f317(f8(x97111,x97112),x97113),x97115)),x97114))
% 184.03/183.90 [9712]~P62(x97122)+E(f317(f317(f8(x97121,x97122),f317(f317(f9(x97121,x97122,x97122),f317(f317(f10(x97122,f906(x97122,x97122),x97121),f281(x97122)),x97123)),x97124)),x97125),f317(f317(f281(x97122),f317(f317(f8(x97121,x97122),x97123),x97125)),x97124))
% 184.03/183.90 [9719]~P67(x97192)+E(f317(f317(f8(x97191,x97192),f317(f317(f20(x97191,x97192,x97192),f317(f317(f10(x97192,f906(x97192,x97192),x97191),f3(x97192)),x97193)),x97194)),x97195),f317(f317(f3(x97192),f317(f317(f8(x97191,x97192),x97193),x97195)),f317(f317(f8(x97191,x97192),x97194),x97195)))
% 184.03/183.90 [9720]~P70(x97202)+E(f317(f317(f8(x97201,x97202),f317(f317(f20(x97201,x97202,x97202),f317(f317(f10(x97202,f906(x97202,x97202),x97201),f74(x97202)),x97203)),x97204)),x97205),f317(f317(f74(x97202),f317(f317(f8(x97201,x97202),x97203),x97205)),f317(f317(f8(x97201,x97202),x97204),x97205)))
% 184.03/183.90 [9721]~P74(x97212)+E(f317(f317(f11(x97211,x97212),f317(f317(f20(x97211,x97212,x97212),f317(f317(f10(x97212,f906(x97212,x97212),x97211),f75(x97212)),x97213)),x97214)),x97215),f317(f317(f75(x97212),f317(f317(f11(x97211,x97212),x97213),x97215)),f317(f317(f11(x97211,x97212),x97214),x97215)))
% 184.03/183.90 [9759]~E(x97593,f178(f906(x97591,a895)))+E(f317(f317(f34(x97591,f906(x97592,a895)),x97593),f317(f317(f9(x97591,f906(x97592,a895),f906(x97592,a895)),f317(f317(f10(f906(x97592,a895),f906(f906(x97592,a895),f906(x97592,a895)),x97591),f3(f906(x97592,a895))),x97594)),x97595)),f232(f906(x97592,a895)))
% 184.03/183.90 [9760]~E(x97603,f178(f906(x97601,a895)))+E(f317(f317(f34(x97601,f906(x97602,a895)),x97603),f317(f317(f9(x97601,f906(x97602,a895),f906(x97602,a895)),f317(f317(f10(f906(x97602,a895),f906(f906(x97602,a895),f906(x97602,a895)),x97601),f92(f906(x97602,a895))),x97604)),x97605)),f232(f906(x97602,a895)))
% 184.03/183.90 [9761]~E(x97613,f178(f906(x97611,a895)))+E(f317(f317(f35(x97611,f906(x97612,a895)),x97613),f317(f317(f9(x97611,f906(x97612,a895),f906(x97612,a895)),f317(f317(f10(f906(x97612,a895),f906(f906(x97612,a895),f906(x97612,a895)),x97611),f91(f906(x97612,a895))),x97614)),x97615)),f178(f906(x97612,a895)))
% 184.03/183.90 [9782]E(x97821,f178(f906(x97822,a895)))+E(f317(f317(f34(x97822,f906(x97823,a895)),x97821),f317(f317(f9(x97822,f906(x97823,a895),f906(x97823,a895)),f317(f317(f10(f906(x97823,a895),f906(f906(x97823,a895),f906(x97823,a895)),x97822),f3(f906(x97823,a895))),x97824)),x97825)),f317(f317(f3(f906(x97823,a895)),f317(f317(f34(x97822,f906(x97823,a895)),x97821),x97824)),x97825))
% 184.03/183.90 [9783]E(x97831,f178(f906(x97832,a895)))+E(f317(f317(f34(x97832,f906(x97833,a895)),x97831),f317(f317(f9(x97832,f906(x97833,a895),f906(x97833,a895)),f317(f317(f10(f906(x97833,a895),f906(f906(x97833,a895),f906(x97833,a895)),x97832),f92(f906(x97833,a895))),x97834)),x97835)),f317(f317(f92(f906(x97833,a895)),f317(f317(f34(x97832,f906(x97833,a895)),x97831),x97834)),x97835))
% 184.03/183.90 [9784]E(x97841,f178(f906(x97842,a895)))+E(f317(f317(f35(x97842,f906(x97843,a895)),x97841),f317(f317(f9(x97842,f906(x97843,a895),f906(x97843,a895)),f317(f317(f10(f906(x97843,a895),f906(f906(x97843,a895),f906(x97843,a895)),x97842),f91(f906(x97843,a895))),x97844)),x97845)),f317(f317(f91(f906(x97843,a895)),f317(f317(f35(x97842,f906(x97843,a895)),x97841),x97844)),x97845))
% 184.03/183.90 [9330]~P1(f317(f317(f224(a899),x93301),x93304))+E(f317(f317(f3(a899),f317(f317(f74(a899),f317(f317(f75(a899),x93301),x93302)),x93303)),f317(f317(f74(a899),f317(f317(f75(a899),x93304),x93302)),x93305)),f317(f317(f3(a899),x93303),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x93304),x93301)),x93302)),x93305)))
% 184.03/183.90 [9932]~P146(x99321)+E(f317(f155(x99321),f317(f317(f144(x99322,x99321),f317(f317(f9(x99322,x99321,x99321),f317(f317(f10(x99321,f906(x99321,x99321),x99322),f75(x99321)),x99323)),x99324)),x99325)),f317(f317(f75(x99321),f317(f155(x99321),f317(f317(f144(x99322,x99321),x99323),x99325))),x99324))
% 184.03/183.90 [9938]~P67(x99381)+E(f317(f155(x99381),f317(f317(f144(x99382,x99381),f317(f317(f20(x99382,x99381,x99381),f317(f317(f10(x99381,f906(x99381,x99381),x99382),f3(x99381)),x99383)),x99384)),x99385)),f317(f317(f3(x99381),f317(f155(x99381),f317(f317(f144(x99382,x99381),x99383),x99385))),f317(f155(x99381),f317(f317(f144(x99382,x99381),x99384),x99385))))
% 184.03/183.90 [9939]~P70(x99391)+E(f317(f155(x99391),f317(f317(f144(x99392,x99391),f317(f317(f20(x99392,x99391,x99391),f317(f317(f10(x99391,f906(x99391,x99391),x99392),f74(x99391)),x99393)),x99394)),x99395)),f317(f317(f74(x99391),f317(f155(x99391),f317(f317(f144(x99392,x99391),x99393),x99395))),f317(f155(x99391),f317(f317(f144(x99392,x99391),x99394),x99395))))
% 184.03/183.90 [10085]P1(f317(x100851,f317(f317(f171(x100852,x100853),x100854),x100855)))+~P1(f317(x100851,f317(f317(f171(x100852,x100853),f317(f317(f165(x100852),f317(f317(f228(a899),f317(f179(f900(x100852)),x100854)),f317(f179(f900(x100853)),x100855))),x100854)),f317(f317(f165(x100853),f317(f317(f228(a899),f317(f179(f900(x100852)),x100854)),f317(f179(f900(x100853)),x100855))),x100855))))
% 184.03/183.90 [10347]~P1(f317(f317(f319(f905(x103472,x103471)),f317(f317(f242(x103472,x103471),x103474),x103475)),f317(f276(x103471,x103472),x103473)))+P1(f317(f317(f233(x103471,x103472,f317(f317(f9(x103471,f906(f905(x103471,x103472),a895),f906(x103472,a895)),f317(f317(f10(f906(x103472,f906(f906(f905(x103471,x103472),a895),a895)),f906(f906(f905(x103471,x103472),a895),f906(x103472,a895)),x103471),f9(x103472,f906(f905(x103471,x103472),a895),a895)),f317(f317(f10(f906(x103472,f905(x103471,x103472)),f906(x103472,f906(f906(f905(x103471,x103472),a895),a895)),x103471),f317(f10(f905(x103471,x103472),f906(f906(f905(x103471,x103472),a895),a895),x103472),f319(f905(x103471,x103472)))),f242(x103471,x103472)))),x103473)),x103474),x103475))
% 184.03/183.90 [10357]P1(f317(f317(f319(f905(x103571,x103572)),f317(f317(f242(x103571,x103572),x103573),x103574)),f317(f276(x103572,x103571),x103575)))+~P1(f317(f317(f233(x103572,x103571,f317(f317(f9(x103572,f906(f905(x103572,x103571),a895),f906(x103571,a895)),f317(f317(f10(f906(x103571,f906(f906(f905(x103572,x103571),a895),a895)),f906(f906(f905(x103572,x103571),a895),f906(x103571,a895)),x103572),f9(x103571,f906(f905(x103572,x103571),a895),a895)),f317(f317(f10(f906(x103571,f905(x103572,x103571)),f906(x103571,f906(f906(f905(x103572,x103571),a895),a895)),x103572),f317(f10(f905(x103572,x103571),f906(f906(f905(x103572,x103571),a895),a895),x103571),f319(f905(x103572,x103571)))),f242(x103572,x103571)))),x103575)),x103573),x103574))
% 184.03/183.90 [9587]~P1(f317(f317(f224(a899),x95874),x95871))+E(f317(f317(f3(a899),f317(f317(f74(a899),f317(f317(f75(a899),x95871),x95872)),x95873)),f317(f317(f74(a899),f317(f317(f75(a899),x95874),x95872)),x95875)),f317(f317(f3(a899),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x95871),x95874)),x95872)),x95873)),x95875))
% 184.03/183.90 [7385]E(x73851,x73852)+~E(f210(x73853,x73854,x73855,x73851),f210(x73853,x73854,x73856,x73852))
% 184.03/183.90 [7386]E(x73861,x73862)+~E(f210(x73863,x73864,x73861,x73865),f210(x73863,x73864,x73862,x73866))
% 184.03/183.90 [8509]~P19(x85095,x85091,x85092,x85096)+E(f317(f67(x85091,x85091,x85091,f317(x85092,x85093)),f317(x85092,x85094)),f317(f67(x85091,x85091,x85091,f317(x85092,x85094)),f317(x85092,x85093)))
% 184.03/183.90 [8745]~P56(x87454,x87455,x87452,x87451,x87456)+E(f317(x87451,f317(x87452,x87453)),x87453)
% 184.03/183.90 [8912]P24(x89121,x89122,x89123,x89124)+~P24(x89121,x89125,f317(f67(x89122,x89125,x89121,x89126),x89123),x89124)
% 184.03/183.90 [8985]~E(x89856,x89854)+E(f317(f69(x89851,x89852,x89853,x89854,x89855),x89856),x89855)
% 184.03/183.90 [8991]E(x89911,x89912)+E(f317(f69(x89913,x89914,x89915,x89912,x89916),x89911),f317(x89915,x89911))
% 184.03/183.90 [9003]~P24(x90034,x90032,f317(f67(x90031,x90032,x90034,x90033),x90035),x90036)+P24(x90031,x90032,x90033,f317(f300(x90034,x90031,x90035),x90036))
% 184.03/183.90 [9722]P1(f317(f28(x97221),x97222))+~P1(f317(f60(x97221,x97223,x97224,x97225,x97222),x97226))
% 184.03/183.90 [9731]~P1(f317(f317(f319(x97314),x97313),f290(x97314,x97315,x97311,x97312,x97316)))+P1(f317(f317(x97311,x97312),x97313))
% 184.03/183.90 [9732]~P1(f317(f317(f319(x97324),x97323),f287(x97324,x97321,x97325,x97322,x97326)))+P1(f317(f317(x97321,x97322),x97323))
% 184.03/183.90 [9733]~P1(f317(f317(f319(x97334),x97332),f290(x97334,x97331,x97335,x97336,x97333)))+P1(f317(f317(x97331,x97332),x97333))
% 184.03/183.90 [9734]~P1(f317(f317(f319(x97344),x97342),f287(x97344,x97345,x97341,x97346,x97343)))+P1(f317(f317(x97341,x97342),x97343))
% 184.03/183.90 [10234]P12(x102341,x102342,x102343,x102344,x102345,x102346)+~E(f317(f317(x102346,f828(x102343,x102346,x102345,x102342,x102344,x102341)),f838(x102343,x102346,x102345,x102342,x102344,x102341)),f317(f317(x102346,f829(x102343,x102346,x102345,x102342,x102344,x102341)),f837(x102343,x102346,x102345,x102342,x102344,x102341)))
% 184.03/183.90 [5842]E(x58421,x58422)+~E(f317(f317(f242(x58423,x58424),x58425),x58421),f317(f317(f242(x58423,x58424),x58426),x58422))
% 184.03/183.90 [5844]E(x58441,x58442)+~E(f317(f317(f242(x58443,x58444),x58441),x58445),f317(f317(f242(x58443,x58444),x58442),x58446))
% 184.03/183.90 [5989]~P16(x59895,x59896,x59891)+E(f317(f317(x59891,x59892),f317(f317(x59891,x59893),x59894)),f317(f317(x59891,x59893),f317(f317(x59891,x59892),x59894)))
% 184.03/183.90 [7452]~P31(x74524,x74521,f317(f317(f141(x74524),x74522),x74525),f317(f317(f141(x74524),x74523),x74526))+P1(f317(f317(x74521,x74522),x74523))
% 184.03/183.90 [7811]P31(x78111,x78112,x78113,x78114)+~P31(x78111,x78112,f317(f317(f141(x78111),x78115),x78113),f317(f317(f141(x78111),x78116),x78114))
% 184.03/183.90 [8849]~P56(x88495,x88491,x88492,x88496,x88494)+P1(f317(f317(f319(x88491),f317(x88492,x88493)),x88494))
% 184.03/183.90 [9051]~E(x90513,f317(f317(f141(x90511),x90515),x90516))+P1(f317(f317(f319(f905(f900(x90511),f900(x90511))),f317(f317(f242(f900(x90511),f900(x90511)),x90512),f317(f317(f124(x90511),x90512),x90513))),f137(x90511,x90514)))
% 184.03/183.90 [9284]~P33(x92841,x92842,x92843,x92845,x92846)+P33(x92841,x92842,x92843,f317(f317(f165(x92841),x92844),x92845),f317(f317(f165(x92842),x92844),x92846))
% 184.03/183.90 [9285]~P33(x92851,x92852,x92853,x92855,x92856)+P33(x92851,x92852,x92853,f317(f317(f128(x92851),x92854),x92855),f317(f317(f128(x92852),x92854),x92856))
% 184.03/183.90 [9549]E(f317(f300(x95491,x95492,f69(x95491,x95492,x95493,x95494,x95495)),x95496),f317(f300(x95491,x95492,x95493),x95496))+P1(f317(f317(f319(x95491),x95494),x95496))
% 184.03/183.90 [9552]E(f317(f317(f144(x95521,x95522),f69(x95521,x95522,x95523,x95524,x95525)),x95526),f317(f317(f144(x95521,x95522),x95523),x95526))+P1(f317(f317(f319(x95521),x95524),f317(f162(x95521),x95526)))
% 184.03/183.90 [9794]~P23(x97944,x97942,x97945,x97943,x97946,x97941)+E(f317(x97941,f178(f906(x97942,a895))),x97943)
% 184.03/183.90 [10027]~E(f317(x100274,f317(f241(x100271,x100273),x100275)),f317(x100276,f317(f241(x100271,x100273),x100275)))+E(f317(f248(x100271,x100272,x100273,x100273,x100274,f25(x100273)),x100275),f317(f248(x100271,x100272,x100273,x100273,x100276,f25(x100273)),x100275))
% 184.03/183.90 [10028]~E(f317(x100284,f317(f246(x100281,x100282),x100285)),f317(x100286,f317(f246(x100281,x100282),x100285)))+E(f317(f248(x100281,x100281,x100282,x100283,f25(x100281),x100284),x100285),f317(f248(x100281,x100281,x100282,x100283,f25(x100281),x100286),x100285))
% 184.03/183.90 [10081]~E(f317(f248(x100812,x100816,x100813,x100813,x100811,f25(x100813)),x100814),f317(f248(x100812,x100816,x100813,x100813,x100815,f25(x100813)),x100814))+E(f317(x100811,f317(f241(x100812,x100813),x100814)),f317(x100815,f317(f241(x100812,x100813),x100814)))
% 184.03/183.90 [10082]~E(f317(f248(x100822,x100822,x100823,x100826,f25(x100822),x100821),x100824),f317(f248(x100822,x100822,x100823,x100826,f25(x100822),x100825),x100824))+E(f317(x100821,f317(f246(x100822,x100823),x100824)),f317(x100825,f317(f246(x100822,x100823),x100824)))
% 184.03/183.90 [8952]P1(f317(f317(f319(x89521),x89522),x89523))+~P1(f317(f317(f319(f905(x89521,x89524)),f317(f317(f242(x89521,x89524),x89522),x89525)),f317(f317(f244(x89521,x89524),x89523),x89526)))
% 184.03/183.90 [8968]P1(f317(f317(f319(x89681),x89682),f317(x89683,x89684)))+~P1(f317(f317(f319(f905(x89685,x89681)),f317(f317(f242(x89685,x89681),x89684),x89682)),f317(f317(f244(x89685,x89681),x89686),x89683)))
% 184.03/183.90 [9406]P1(f317(f317(f319(f905(x94061,x94061)),f317(f317(f242(x94061,x94061),f317(x94062,x94063)),f317(x94062,x94064))),x94065))+~P1(f317(f317(f319(f905(x94066,x94066)),f317(f317(f242(x94066,x94066),x94063),x94064)),f317(f317(f278(x94061,x94066),x94065),x94062)))
% 184.03/183.90 [9426]~P1(f317(f317(f319(f905(x94264,x94264)),f317(f317(f242(x94264,x94264),f317(x94266,x94262)),f317(x94266,x94263))),x94265))+P1(f317(f317(f319(f905(x94261,x94261)),f317(f317(f242(x94261,x94261),x94262),x94263)),f317(f317(f278(x94264,x94261),x94265),x94266)))
% 184.03/183.90 [10084]E(f317(f317(f242(x100841,x100842),f627(x100843,x100844,x100845,x100846,x100842,x100841)),f628(x100843,x100844,x100845,x100846,x100842,x100841)),x100846)+~P1(f317(f317(f319(f905(x100841,x100842)),x100846),f317(f317(f279(x100841,x100845,x100842),x100844),x100843)))
% 184.03/183.90 [10305]~P1(f317(f317(f319(f905(x103051,x103056)),x103055),f317(f317(f279(x103051,x103052,x103056),x103054),x103053)))+P1(f317(f317(f319(f905(x103051,x103052)),f317(f317(f242(x103051,x103052),f627(x103053,x103054,x103052,x103055,x103056,x103051)),f629(x103053,x103054,x103052,x103055,x103056,x103051))),x103054))
% 184.03/183.90 [10306]~P1(f317(f317(f319(f905(x103066,x103062)),x103065),f317(f317(f279(x103066,x103061,x103062),x103064),x103063)))+P1(f317(f317(f319(f905(x103061,x103062)),f317(f317(f242(x103061,x103062),f629(x103063,x103064,x103061,x103065,x103062,x103066)),f628(x103063,x103064,x103061,x103065,x103062,x103066))),x103063))
% 184.03/183.90 [10307]P12(x103071,x103072,x103073,x103074,x103075,x103076)+P1(f317(f317(f319(f905(x103072,x103072)),f317(f317(f242(x103072,x103072),f837(x103073,x103076,x103075,x103072,x103074,x103071)),f838(x103073,x103076,x103075,x103072,x103074,x103071))),x103075))
% 184.03/183.90 [10308]P12(x103081,x103082,x103083,x103084,x103085,x103086)+P1(f317(f317(f319(f905(x103081,x103081)),f317(f317(f242(x103081,x103081),f829(x103083,x103086,x103085,x103082,x103084,x103081)),f828(x103083,x103086,x103085,x103082,x103084,x103081))),x103084))
% 184.03/183.90 [7882]~P5(x78822)+E(f317(f317(f34(x78821,x78822),x78823),f317(f317(f9(x78821,x78824,x78822),x78825),x78826)),f317(f317(f317(f34(x78821,f906(x78824,x78822)),x78823),x78825),x78826))
% 184.03/183.90 [7883]~P5(x78832)+E(f317(f317(f35(x78831,x78832),x78833),f317(f317(f9(x78831,x78834,x78832),x78835),x78836)),f317(f317(f317(f35(x78831,f906(x78834,x78832)),x78833),x78835),x78836))
% 184.03/183.90 [8656]E(f317(f317(f35(x86561,f906(x86562,a895)),x86563),f317(f317(f10(f906(x86562,a895),f906(x86562,a895),x86561),f317(f299(x86562),x86564)),x86565)),f317(f317(f299(x86562),x86564),f317(f317(f35(x86561,f906(x86562,a895)),x86563),x86565)))+~P1(f317(f317(f319(x86561),x86566),x86563))
% 184.03/183.90 [9104]~P5(x91042)+E(f317(f317(f34(x91041,x91042),x91043),f317(f317(f10(f906(x91044,x91042),x91042,x91041),f317(f34(x91044,x91042),x91045)),f317(f9(x91044,x91041,x91042),x91046))),f317(f317(f34(x91044,x91042),x91045),f317(f317(f10(f906(x91041,x91042),x91042,x91044),f317(f34(x91041,x91042),x91043)),x91046)))
% 184.03/183.90 [9105]~P5(x91052)+E(f317(f317(f35(x91051,x91052),x91053),f317(f317(f10(f906(x91054,x91052),x91052,x91051),f317(f35(x91054,x91052),x91055)),f317(f9(x91054,x91051,x91052),x91056))),f317(f317(f35(x91054,x91052),x91055),f317(f317(f10(f906(x91051,x91052),x91052,x91054),f317(f35(x91051,x91052),x91053)),x91056)))
% 184.03/183.90 [9310]P1(f317(f317(f319(x93101),x93102),f317(f162(x93101),x93103)))+~P1(f317(f317(f319(f905(x93104,x93101)),f317(f317(f242(x93104,x93101),x93105),x93102)),f317(f162(f905(x93104,x93101)),f317(f317(f171(x93104,x93101),x93106),x93103))))
% 184.03/183.90 [9311]P1(f317(f317(f319(x93111),x93112),f317(f162(x93111),x93113)))+~P1(f317(f317(f319(f905(x93111,x93114)),f317(f317(f242(x93111,x93114),x93112),x93115)),f317(f162(f905(x93111,x93114)),f317(f317(f171(x93111,x93114),x93113),x93116))))
% 184.03/183.90 [9422]P1(f317(f317(f224(f906(x94221,a895)),f317(f275(x94222,x94221,x94223),x94224)),x94225))+~P1(f317(f317(f224(f906(f905(x94222,x94221),a895)),x94223),f317(f317(f244(x94222,x94221),x94226),f317(f18(f906(x94221,a895),x94222),x94225))))
% 184.03/183.90 [9427]~P25(x94274,x94272,x94275,f232(f906(x94274,a895)),f232(f906(x94272,a895)))+E(f317(f317(f34(x94271,f906(x94272,a895)),x94273),f317(f317(f10(f906(x94274,a895),f906(x94272,a895),x94271),f300(x94274,x94272,x94275)),x94276)),f317(f300(x94274,x94272,x94275),f317(f317(f34(x94271,f906(x94274,a895)),x94273),x94276)))
% 184.03/183.90 [9625]P1(f317(f317(f319(f905(f900(x96251),f900(x96251))),f317(f317(f242(f900(x96251),f900(x96251)),f317(f317(f141(x96251),x96252),x96253)),f317(f317(f141(x96251),x96254),x96255))),f137(x96251,x96256)))+~P1(f317(f317(f319(f905(x96251,x96251)),f317(f317(f242(x96251,x96251),x96252),x96254)),x96256))
% 184.03/183.90 [10080]E(f317(f317(f242(x100801,x100802),f575(x100803,x100804,x100805,x100802,x100801,x100806)),f578(x100803,x100804,x100805,x100802,x100801,x100806)),x100806)+P1(f317(f317(f319(x100805),x100804),f317(f317(f247(x100801,x100802,f906(x100805,a895)),x100803),x100806)))
% 184.03/183.90 [10086]E(f317(f317(f242(x100861,x100862),f576(x100863,x100864,x100862,x100861,x100865,x100866)),f577(x100863,x100864,x100862,x100861,x100865,x100866)),x100863)+~P1(f317(f317(f319(x100866),x100865),f317(f317(f247(x100861,x100862,f906(x100866,a895)),x100864),x100863)))
% 184.03/183.90 [10249]P1(f317(f317(f319(x102491),x102492),f317(f317(x102493,f576(x102494,x102493,x102495,x102496,x102492,x102491)),f577(x102494,x102493,x102495,x102496,x102492,x102491))))+~P1(f317(f317(f319(x102491),x102492),f317(f317(f247(x102496,x102495,f906(x102491,a895)),x102493),x102494)))
% 184.03/183.90 [10278]~P1(f317(f317(f319(x102781),x102782),f317(f317(x102785,f575(x102785,x102782,x102781,x102784,x102783,x102786)),f578(x102785,x102782,x102781,x102784,x102783,x102786))))+P1(f317(f317(f319(x102781),x102782),f317(f317(f247(x102783,x102784,f906(x102781,a895)),x102785),x102786)))
% 184.03/183.90 [8556]E(x85561,x85562)+E(f317(f317(f149(x85563,f317(f317(f149(x85563,x85564),x85561),x85565)),x85562),x85566),f317(f317(f149(x85563,f317(f317(f149(x85563,x85564),x85562),x85566)),x85561),x85565))
% 184.03/183.90 [9686]~P1(f317(f317(f319(x96863),x96866),x96865))+E(f317(f317(f299(x96861),x96862),f317(f300(x96863,x96861,x96864),f317(f317(f3(f906(x96863,a895)),x96865),f317(f317(f299(x96863),x96866),f178(f906(x96863,a895)))))),f317(f300(x96863,x96861,f69(x96863,x96861,x96864,x96866,x96862)),x96865))
% 184.03/183.90 [9183]~P1(f317(f317(x91834,x91835),x91836))+P1(f317(f317(f317(f317(f91(f906(x91831,f906(x91832,a895))),x91833),x91834),x91835),x91836))
% 184.03/183.90 [9185]~P1(f317(f317(x91853,x91855),x91856))+P1(f317(f317(f317(f317(f91(f906(x91851,f906(x91852,a895))),x91853),x91854),x91855),x91856))
% 184.03/183.90 [9477]P1(f317(f317(x94771,x94772),x94773))+~P1(f317(f317(f317(f317(f92(f906(x94774,f906(x94775,a895))),x94776),x94771),x94772),x94773))
% 184.03/183.90 [9478]P1(f317(f317(x94781,x94782),x94783))+~P1(f317(f317(f317(f317(f92(f906(x94784,f906(x94785,a895))),x94781),x94786),x94782),x94783))
% 184.03/183.90 [9920]~P70(x99202)+E(f317(f317(f8(x99201,x99202),f317(f317(f9(x99201,f906(x99203,a895),x99202),f317(f317(f10(f906(x99203,x99202),f906(f906(x99203,a895),x99202),x99201),f8(x99203,x99202)),x99204)),x99205)),x99206),f317(f317(f8(f905(x99201,x99203),x99202),f317(f247(x99201,x99203,x99202),x99204)),f317(f317(f244(x99201,x99203),x99206),f317(f18(f906(x99203,a895),x99201),x99205))))
% 184.03/183.90 [9921]~P74(x99212)+E(f317(f317(f11(x99211,x99212),f317(f317(f9(x99211,f906(x99213,a895),x99212),f317(f317(f10(f906(x99213,x99212),f906(f906(x99213,a895),x99212),x99211),f11(x99213,x99212)),x99214)),x99215)),x99216),f317(f317(f11(f905(x99211,x99213),x99212),f317(f247(x99211,x99213,x99212),x99214)),f317(f317(f244(x99211,x99213),x99216),f317(f18(f906(x99213,a895),x99211),x99215))))
% 184.03/183.90 [10052]~P70(x100522)+E(f317(f317(f8(x100521,x100522),f317(f317(f9(x100521,f906(x100523,a895),x100522),f317(f317(f10(f906(x100523,x100522),f906(f906(x100523,a895),x100522),x100521),f8(x100523,x100522)),f317(f9(x100523,x100521,x100522),x100524))),x100525)),x100526),f317(f317(f8(x100523,x100522),f317(f317(f9(x100523,f906(x100521,a895),x100522),f317(f317(f10(f906(x100521,x100522),f906(f906(x100521,a895),x100522),x100523),f8(x100521,x100522)),x100524)),x100526)),x100525))
% 184.03/183.90 [10369]~P1(f317(f317(f319(f905(x103691,x103692)),f317(f317(f242(x103691,x103692),x103695),x103696)),f317(f317(f91(f906(f905(x103691,x103692),a895)),x103693),x103694)))+P1(f317(f317(f317(f317(f91(f906(x103691,f906(x103692,a895))),f317(f317(f9(x103691,f906(f905(x103691,x103692),a895),f906(x103692,a895)),f317(f317(f10(f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),f906(f906(f905(x103691,x103692),a895),f906(x103692,a895)),x103691),f9(x103692,f906(f905(x103691,x103692),a895),a895)),f317(f317(f10(f906(x103692,f905(x103691,x103692)),f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),x103691),f317(f10(f905(x103691,x103692),f906(f906(f905(x103691,x103692),a895),a895),x103692),f319(f905(x103691,x103692)))),f242(x103691,x103692)))),x103693)),f317(f317(f9(x103691,f906(f905(x103691,x103692),a895),f906(x103692,a895)),f317(f317(f10(f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),f906(f906(f905(x103691,x103692),a895),f906(x103692,a895)),x103691),f9(x103692,f906(f905(x103691,x103692),a895),a895)),f317(f317(f10(f906(x103692,f905(x103691,x103692)),f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),x103691),f317(f10(f905(x103691,x103692),f906(f906(f905(x103691,x103692),a895),a895),x103692),f319(f905(x103691,x103692)))),f242(x103691,x103692)))),x103694)),x103695),x103696))
% 184.03/183.90 [10370]~P1(f317(f317(f319(f905(x103701,x103702)),f317(f317(f242(x103701,x103702),x103705),x103706)),f317(f317(f92(f906(f905(x103701,x103702),a895)),x103703),x103704)))+P1(f317(f317(f317(f317(f92(f906(x103701,f906(x103702,a895))),f317(f317(f9(x103701,f906(f905(x103701,x103702),a895),f906(x103702,a895)),f317(f317(f10(f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),f906(f906(f905(x103701,x103702),a895),f906(x103702,a895)),x103701),f9(x103702,f906(f905(x103701,x103702),a895),a895)),f317(f317(f10(f906(x103702,f905(x103701,x103702)),f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),x103701),f317(f10(f905(x103701,x103702),f906(f906(f905(x103701,x103702),a895),a895),x103702),f319(f905(x103701,x103702)))),f242(x103701,x103702)))),x103703)),f317(f317(f9(x103701,f906(f905(x103701,x103702),a895),f906(x103702,a895)),f317(f317(f10(f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),f906(f906(f905(x103701,x103702),a895),f906(x103702,a895)),x103701),f9(x103702,f906(f905(x103701,x103702),a895),a895)),f317(f317(f10(f906(x103702,f905(x103701,x103702)),f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),x103701),f317(f10(f905(x103701,x103702),f906(f906(f905(x103701,x103702),a895),a895),x103702),f319(f905(x103701,x103702)))),f242(x103701,x103702)))),x103704)),x103705),x103706))
% 184.03/183.90 [10379]P1(f317(f317(f319(f905(x103791,x103792)),f317(f317(f242(x103791,x103792),x103793),x103794)),f317(f317(f91(f906(f905(x103791,x103792),a895)),x103795),x103796)))+~P1(f317(f317(f317(f317(f91(f906(x103791,f906(x103792,a895))),f317(f317(f9(x103791,f906(f905(x103791,x103792),a895),f906(x103792,a895)),f317(f317(f10(f906(x103792,f906(f906(f905(x103791,x103792),a895),a895)),f906(f906(f905(x103791,x103792),a895),f906(x103792,a895)),x103791),f9(x103792,f906(f905(x103791,x103792),a895),a895)),f317(f317(f10(f906(x103792,f905(x103791,x103792)),f906(x103792,f906(f906(f905(x103791,x103792),a895),a895)),x103791),f317(f10(f905(x103791,x103792),f906(f906(f905(x103791,x103792),a895),a895),x103792),f319(f905(x103791,x103792)))),f242(x103791,x103792)))),x103795)),f317(f317(f9(x103791,f906(f905(x103791,x103792),a895),f906(x103792,a895)),f317(f317(f10(f906(x103792,f906(f906(f905(x103791,x103792),a895),a895)),f906(f906(f905(x103791,x103792),a895),f906(x103792,a895)),x103791),f9(x103792,f906(f905(x103791,x103792),a895),a895)),f317(f317(f10(f906(x103792,f905(x103791,x103792)),f906(x103792,f906(f906(f905(x103791,x103792),a895),a895)),x103791),f317(f10(f905(x103791,x103792),f906(f906(f905(x103791,x103792),a895),a895),x103792),f319(f905(x103791,x103792)))),f242(x103791,x103792)))),x103796)),x103793),x103794))
% 184.03/183.90 [10380]P1(f317(f317(f319(f905(x103801,x103802)),f317(f317(f242(x103801,x103802),x103803),x103804)),f317(f317(f92(f906(f905(x103801,x103802),a895)),x103805),x103806)))+~P1(f317(f317(f317(f317(f92(f906(x103801,f906(x103802,a895))),f317(f317(f9(x103801,f906(f905(x103801,x103802),a895),f906(x103802,a895)),f317(f317(f10(f906(x103802,f906(f906(f905(x103801,x103802),a895),a895)),f906(f906(f905(x103801,x103802),a895),f906(x103802,a895)),x103801),f9(x103802,f906(f905(x103801,x103802),a895),a895)),f317(f317(f10(f906(x103802,f905(x103801,x103802)),f906(x103802,f906(f906(f905(x103801,x103802),a895),a895)),x103801),f317(f10(f905(x103801,x103802),f906(f906(f905(x103801,x103802),a895),a895),x103802),f319(f905(x103801,x103802)))),f242(x103801,x103802)))),x103805)),f317(f317(f9(x103801,f906(f905(x103801,x103802),a895),f906(x103802,a895)),f317(f317(f10(f906(x103802,f906(f906(f905(x103801,x103802),a895),a895)),f906(f906(f905(x103801,x103802),a895),f906(x103802,a895)),x103801),f9(x103802,f906(f905(x103801,x103802),a895),a895)),f317(f317(f10(f906(x103802,f905(x103801,x103802)),f906(x103802,f906(f906(f905(x103801,x103802),a895),a895)),x103801),f317(f10(f905(x103801,x103802),f906(f906(f905(x103801,x103802),a895),a895),x103802),f319(f905(x103801,x103802)))),f242(x103801,x103802)))),x103806)),x103803),x103804))
% 184.03/183.90 [10363]~P1(f317(f317(f319(f905(x103632,x103633)),f317(f317(f242(x103632,x103633),x103635),x103636)),f317(f317(f34(x103631,f906(f905(x103632,x103633),a895)),f232(f906(x103631,a895))),x103634)))+P1(f317(f317(f317(f317(f34(x103631,f906(x103632,f906(x103633,a895))),f232(f906(x103631,a895))),f317(f317(f10(f906(f905(x103632,x103633),a895),f906(x103632,f906(x103633,a895)),x103631),f317(f9(x103632,f906(f905(x103632,x103633),a895),f906(x103633,a895)),f317(f317(f10(f906(x103633,f906(f906(f905(x103632,x103633),a895),a895)),f906(f906(f905(x103632,x103633),a895),f906(x103633,a895)),x103632),f9(x103633,f906(f905(x103632,x103633),a895),a895)),f317(f317(f10(f906(x103633,f905(x103632,x103633)),f906(x103633,f906(f906(f905(x103632,x103633),a895),a895)),x103632),f317(f10(f905(x103632,x103633),f906(f906(f905(x103632,x103633),a895),a895),x103633),f319(f905(x103632,x103633)))),f242(x103632,x103633))))),x103634)),x103635),x103636))
% 184.03/183.90 [10364]~P1(f317(f317(f319(f905(x103642,x103643)),f317(f317(f242(x103642,x103643),x103645),x103646)),f317(f317(f35(x103641,f906(f905(x103642,x103643),a895)),f232(f906(x103641,a895))),x103644)))+P1(f317(f317(f317(f317(f35(x103641,f906(x103642,f906(x103643,a895))),f232(f906(x103641,a895))),f317(f317(f10(f906(f905(x103642,x103643),a895),f906(x103642,f906(x103643,a895)),x103641),f317(f9(x103642,f906(f905(x103642,x103643),a895),f906(x103643,a895)),f317(f317(f10(f906(x103643,f906(f906(f905(x103642,x103643),a895),a895)),f906(f906(f905(x103642,x103643),a895),f906(x103643,a895)),x103642),f9(x103643,f906(f905(x103642,x103643),a895),a895)),f317(f317(f10(f906(x103643,f905(x103642,x103643)),f906(x103643,f906(f906(f905(x103642,x103643),a895),a895)),x103642),f317(f10(f905(x103642,x103643),f906(f906(f905(x103642,x103643),a895),a895),x103643),f319(f905(x103642,x103643)))),f242(x103642,x103643))))),x103644)),x103645),x103646))
% 184.03/183.90 [10373]P1(f317(f317(f319(f905(x103731,x103732)),f317(f317(f242(x103731,x103732),x103733),x103734)),f317(f317(f34(x103735,f906(f905(x103731,x103732),a895)),f232(f906(x103735,a895))),x103736)))+~P1(f317(f317(f317(f317(f34(x103735,f906(x103731,f906(x103732,a895))),f232(f906(x103735,a895))),f317(f317(f10(f906(f905(x103731,x103732),a895),f906(x103731,f906(x103732,a895)),x103735),f317(f9(x103731,f906(f905(x103731,x103732),a895),f906(x103732,a895)),f317(f317(f10(f906(x103732,f906(f906(f905(x103731,x103732),a895),a895)),f906(f906(f905(x103731,x103732),a895),f906(x103732,a895)),x103731),f9(x103732,f906(f905(x103731,x103732),a895),a895)),f317(f317(f10(f906(x103732,f905(x103731,x103732)),f906(x103732,f906(f906(f905(x103731,x103732),a895),a895)),x103731),f317(f10(f905(x103731,x103732),f906(f906(f905(x103731,x103732),a895),a895),x103732),f319(f905(x103731,x103732)))),f242(x103731,x103732))))),x103736)),x103733),x103734))
% 184.03/183.90 [10374]P1(f317(f317(f319(f905(x103741,x103742)),f317(f317(f242(x103741,x103742),x103743),x103744)),f317(f317(f35(x103745,f906(f905(x103741,x103742),a895)),f232(f906(x103745,a895))),x103746)))+~P1(f317(f317(f317(f317(f35(x103745,f906(x103741,f906(x103742,a895))),f232(f906(x103745,a895))),f317(f317(f10(f906(f905(x103741,x103742),a895),f906(x103741,f906(x103742,a895)),x103745),f317(f9(x103741,f906(f905(x103741,x103742),a895),f906(x103742,a895)),f317(f317(f10(f906(x103742,f906(f906(f905(x103741,x103742),a895),a895)),f906(f906(f905(x103741,x103742),a895),f906(x103742,a895)),x103741),f9(x103742,f906(f905(x103741,x103742),a895),a895)),f317(f317(f10(f906(x103742,f905(x103741,x103742)),f906(x103742,f906(f906(f905(x103741,x103742),a895),a895)),x103741),f317(f10(f905(x103741,x103742),f906(f906(f905(x103741,x103742),a895),a895),x103742),f319(f905(x103741,x103742)))),f242(x103741,x103742))))),x103746)),x103743),x103744))
% 184.03/183.90 [7557]E(f317(x75571,f317(x75572,x75573)),f317(x75574,x75573))+~E(f317(f67(x75575,x75576,x75577,x75571),x75572),x75574)
% 184.03/183.90 [9702]E(x97021,x97022)+E(f69(x97023,x97024,f69(x97023,x97024,x97025,x97021,x97026),x97022,x97027),f69(x97023,x97024,f69(x97023,x97024,x97025,x97022,x97027),x97021,x97026))
% 184.03/183.90 [9793]~P22(x97933,x97934,x97931,x97935,x97936,x97937)+E(f317(f317(x97931,x97932),x97932),x97932)
% 184.03/183.90 [6092]~E(f317(f317(f144(x60921,x60925),x60926),x60922),f317(f317(f144(x60923,x60925),x60927),x60924))+E(f317(f179(f900(x60921)),x60922),f317(f179(f900(x60923)),x60924))
% 184.03/183.90 [8587]E(f317(x85871,f317(x85872,x85873)),f317(x85874,x85873))+~E(f317(f67(x85875,x85876,x85877,x85871),x85872),f317(f67(x85876,x85876,x85877,f25(x85876)),x85874))
% 184.03/183.90 [8941]~P33(x89414,x89415,x89411,f317(f317(f141(x89414),x89412),x89416),f317(f317(f141(x89415),x89413),x89417))+P1(f317(f317(x89411,x89412),x89413))
% 184.03/183.90 [9317]P33(x93171,x93172,x93173,x93174,x93175)+~P33(x93171,x93172,x93173,f317(f317(f141(x93171),x93176),x93174),f317(f317(f141(x93172),x93177),x93175))
% 184.03/183.90 [9953]P1(f317(f317(x99531,x99532),f548(x99533,x99532,x99534,x99531)))+~P1(f317(f317(f243(x99535,x99536,x99537,x99531,x99534),x99532),x99533))
% 184.03/183.90 [9977]P1(f317(f317(x99771,f548(x99772,x99773,x99771,x99774)),x99772))+~P1(f317(f317(f243(x99775,x99776,x99777,x99774,x99771),x99773),x99772))
% 184.03/183.90 [9058]~P20(x90586,x90581,x90583,x90587)+E(f317(f67(x90581,x90581,x90582,f317(x90583,x90584)),f317(f67(x90581,x90581,x90582,f317(x90583,x90584)),x90585)),f317(f67(x90581,x90581,x90582,f317(x90583,x90584)),x90585))
% 184.03/183.90 [9430]~P33(x94303,x94302,x94304,f317(f317(f144(x94301,x94303),x94305),x94306),x94307)+P33(x94301,x94302,f317(f317(f10(x94303,f906(x94302,a895),x94301),x94304),x94305),x94306,x94307)
% 184.03/183.90 [9453]P33(x94531,x94532,x94533,f317(f317(f144(x94534,x94531),x94535),x94536),x94537)+~P33(x94534,x94532,f317(f317(f10(x94531,f906(x94532,a895),x94534),x94533),x94535),x94536,x94537)
% 184.03/183.90 [9057]~P1(f317(f317(f319(x90571),x90572),f317(f317(x90575,x90576),x90577)))+P1(f317(f317(f319(x90571),x90572),f317(f317(f247(x90573,x90574,f906(x90571,a895)),x90575),f317(f317(f242(x90573,x90574),x90576),x90577))))
% 184.03/183.90 [9343]P1(f317(f317(f317(x93431,x93432),x93433),x93434))+~P1(f317(f317(f317(f247(x93435,x93436,f906(x93437,a895)),x93431),f317(f317(f242(x93435,x93436),x93432),x93433)),x93434))
% 184.03/183.90 [9492]P1(f317(f317(f319(x94921),f317(f317(x94922,x94923),x94924)),f317(f300(f905(x94925,x94926),x94921,f317(f247(x94925,x94926,x94921),x94922)),x94927)))+~P1(f317(f317(f319(f905(x94925,x94926)),f317(f317(f242(x94925,x94926),x94923),x94924)),x94927))
% 184.03/183.90 [9840]P1(f317(f317(f319(f905(f900(x98401),f900(x98401))),f317(f317(f242(f900(x98401),f900(x98401)),f317(f317(f124(x98401),x98402),f317(f317(f141(x98401),x98403),x98404))),f317(f317(f124(x98401),x98402),f317(f317(f141(x98401),x98405),x98406)))),f137(x98401,x98407)))+~P1(f317(f317(f319(f905(x98401,x98401)),f317(f317(f242(x98401,x98401),x98403),x98405)),x98407))
% 184.03/183.90 [9905]~P33(x99051,x99053,x99054,x99056,f317(f317(f144(x99052,x99053),x99055),x99057))+P33(x99051,x99052,f317(f317(f9(x99051,f906(x99052,x99053),f906(x99052,a895)),f317(f317(f10(f906(x99053,a895),f906(f906(x99052,x99053),f906(x99052,a895)),x99051),f10(x99053,a895,x99052)),x99054)),x99055),x99056,x99057)
% 184.03/183.90 [9981]P33(x99811,x99812,x99813,x99814,f317(f317(f144(x99815,x99812),x99816),x99817))+~P33(x99811,x99815,f317(f317(f9(x99811,f906(x99815,x99812),f906(x99815,a895)),f317(f317(f10(f906(x99812,a895),f906(f906(x99815,x99812),f906(x99815,a895)),x99811),f10(x99812,a895,x99815)),x99813)),x99816),x99814,x99817)
% 184.03/183.90 [10292]P1(f317(f317(f319(x102921),f483(x102922,x102923,x102924,x102925,x102926,x102927,x102921)),x102925))+P1(f317(f317(f317(f317(f34(x102921,f906(x102927,f906(x102926,a895))),x102925),x102924),x102923),x102922))
% 184.03/183.90 [10293]P1(f317(f317(f319(x102931),f765(x102932,x102933,x102934,x102935,x102936,x102937,x102931)),x102937))+P1(f317(f317(f317(f317(f34(x102931,f906(x102933,f906(x102932,a895))),x102937),x102936),x102935),x102934))
% 184.03/183.90 [10294]P1(f317(f317(f319(x102941),f484(x102942,x102943,x102944,x102945,x102946,x102947,x102941)),x102945))+~P1(f317(f317(f317(f317(f35(x102941,f906(x102947,f906(x102946,a895))),x102945),x102944),x102943),x102942))
% 184.03/183.90 [10295]P1(f317(f317(f319(x102951),f766(x102952,x102953,x102954,x102955,x102956,x102957,x102951)),x102955))+~P1(f317(f317(f317(f317(f35(x102951,f906(x102957,f906(x102956,a895))),x102955),x102954),x102953),x102952))
% 184.03/183.90 [10328]P1(f317(f317(f317(x103281,f484(x103282,x103283,x103281,x103284,x103285,x103286,x103287)),x103283),x103282))+~P1(f317(f317(f317(f317(f35(x103287,f906(x103286,f906(x103285,a895))),x103284),x103281),x103283),x103282))
% 184.03/183.90 [10329]P1(f317(f317(f317(x103291,f766(x103292,x103293,x103291,x103294,x103295,x103296,x103297)),x103293),x103292))+~P1(f317(f317(f317(f317(f35(x103297,f906(x103296,f906(x103295,a895))),x103294),x103291),x103293),x103292))
% 184.03/183.90 [10344]~P1(f317(f317(f317(x103445,f483(x103447,x103446,x103445,x103444,x103443,x103442,x103441)),x103446),x103447))+P1(f317(f317(f317(f317(f34(x103441,f906(x103442,f906(x103443,a895))),x103444),x103445),x103446),x103447))
% 184.03/183.90 [10345]~P1(f317(f317(f317(x103455,f765(x103453,x103452,x103457,x103456,x103455,x103454,x103451)),x103456),x103457))+P1(f317(f317(f317(f317(f34(x103451,f906(x103452,f906(x103453,a895))),x103454),x103455),x103456),x103457))
% 184.03/183.90 [10362]~P1(f317(f317(f319(f905(x103621,x103623)),f317(f317(f242(x103621,x103623),x103626),x103627)),f317(f317(f279(x103621,x103622,x103623),x103624),x103625)))+P1(f317(f317(f243(x103621,x103622,x103623,f317(f317(f9(x103621,f906(f905(x103621,x103622),a895),f906(x103622,a895)),f317(f317(f10(f906(x103622,f906(f906(f905(x103621,x103622),a895),a895)),f906(f906(f905(x103621,x103622),a895),f906(x103622,a895)),x103621),f9(x103622,f906(f905(x103621,x103622),a895),a895)),f317(f317(f10(f906(x103622,f905(x103621,x103622)),f906(x103622,f906(f906(f905(x103621,x103622),a895),a895)),x103621),f317(f10(f905(x103621,x103622),f906(f906(f905(x103621,x103622),a895),a895),x103622),f319(f905(x103621,x103622)))),f242(x103621,x103622)))),x103624),f317(f317(f9(x103622,f906(f905(x103622,x103623),a895),f906(x103623,a895)),f317(f317(f10(f906(x103623,f906(f906(f905(x103622,x103623),a895),a895)),f906(f906(f905(x103622,x103623),a895),f906(x103623,a895)),x103622),f9(x103623,f906(f905(x103622,x103623),a895),a895)),f317(f317(f10(f906(x103623,f905(x103622,x103623)),f906(x103623,f906(f906(f905(x103622,x103623),a895),a895)),x103622),f317(f10(f905(x103622,x103623),f906(f906(f905(x103622,x103623),a895),a895),x103623),f319(f905(x103622,x103623)))),f242(x103622,x103623)))),x103625)),x103626),x103627))
% 184.03/183.90 [10372]P1(f317(f317(f319(f905(x103721,x103722)),f317(f317(f242(x103721,x103722),x103723),x103724)),f317(f317(f279(x103721,x103725,x103722),x103726),x103727)))+~P1(f317(f317(f243(x103721,x103725,x103722,f317(f317(f9(x103721,f906(f905(x103721,x103725),a895),f906(x103725,a895)),f317(f317(f10(f906(x103725,f906(f906(f905(x103721,x103725),a895),a895)),f906(f906(f905(x103721,x103725),a895),f906(x103725,a895)),x103721),f9(x103725,f906(f905(x103721,x103725),a895),a895)),f317(f317(f10(f906(x103725,f905(x103721,x103725)),f906(x103725,f906(f906(f905(x103721,x103725),a895),a895)),x103721),f317(f10(f905(x103721,x103725),f906(f906(f905(x103721,x103725),a895),a895),x103725),f319(f905(x103721,x103725)))),f242(x103721,x103725)))),x103726),f317(f317(f9(x103725,f906(f905(x103725,x103722),a895),f906(x103722,a895)),f317(f317(f10(f906(x103722,f906(f906(f905(x103725,x103722),a895),a895)),f906(f906(f905(x103725,x103722),a895),f906(x103722,a895)),x103725),f9(x103722,f906(f905(x103725,x103722),a895),a895)),f317(f317(f10(f906(x103722,f905(x103725,x103722)),f906(x103722,f906(f906(f905(x103725,x103722),a895),a895)),x103725),f317(f10(f905(x103725,x103722),f906(f906(f905(x103725,x103722),a895),a895),x103722),f319(f905(x103725,x103722)))),f242(x103725,x103722)))),x103727)),x103723),x103724))
% 184.03/183.90 [10304]~P146(x103042)+E(f317(f317(f8(x103041,x103042),f317(f317(f9(x103041,f906(x103043,a895),x103042),f317(f317(f10(f906(x103043,x103042),f906(f906(x103043,a895),x103042),x103041),f8(x103043,x103042)),f317(f317(f9(x103041,f906(x103043,x103042),f906(x103043,x103042)),f317(f317(f10(f906(x103042,x103042),f906(f906(x103043,x103042),f906(x103043,x103042)),x103041),f10(x103042,x103042,x103043)),f317(f317(f10(x103042,f906(x103042,x103042),x103041),f75(x103042)),x103044))),x103045))),x103046)),x103047),f317(f317(f75(x103042),f317(f317(f8(x103041,x103042),x103044),x103047)),f317(f317(f8(x103043,x103042),x103045),x103046)))
% 184.03/183.90 [9376]~P19(x93767,x93761,x93763,x93768)+E(f317(f67(x93761,x93761,x93762,f317(x93763,x93764)),f317(f67(x93761,x93761,x93762,f317(x93763,x93765)),x93766)),f317(f67(x93761,x93761,x93762,f317(x93763,x93765)),f317(f67(x93761,x93761,x93762,f317(x93763,x93764)),x93766)))
% 184.03/183.90 [10367]E(f317(f317(f242(x103671,x103672),f317(x103673,f541(x103674,x103675,x103673,x103676,x103677,x103678,x103672,x103671))),f317(x103675,f542(x103674,x103675,x103673,x103676,x103677,x103678,x103672,x103671))),x103678)+~P1(f317(f317(f319(f905(x103671,x103672)),x103678),f317(f300(f905(x103677,x103676),f905(x103671,x103672),f248(x103677,x103671,x103676,x103672,x103673,x103675)),x103674)))
% 184.03/183.90 [10385]~P1(f317(f317(f319(f905(x103858,x103857)),x103856),f317(f300(f905(x103851,x103852),f905(x103858,x103857),f248(x103851,x103858,x103852,x103857,x103855,x103854)),x103853)))+P1(f317(f317(f319(f905(x103851,x103852)),f317(f317(f242(x103851,x103852),f541(x103853,x103854,x103855,x103852,x103851,x103856,x103857,x103858)),f542(x103853,x103854,x103855,x103852,x103851,x103856,x103857,x103858))),x103853))
% 184.03/183.90 [9830]P1(f317(f317(f319(f905(f905(x98301,x98302),f905(x98301,x98302))),f317(f317(f242(f905(x98301,x98302),f905(x98301,x98302)),f317(f317(f242(x98301,x98302),x98303),x98304)),f317(f317(f242(x98301,x98302),x98305),x98306))),f309(x98301,x98302,x98307,x98308)))+~P1(f317(f317(f319(f905(x98301,x98301)),f317(f317(f242(x98301,x98301),x98303),x98305)),x98307))
% 184.03/183.90 [10356]E(f317(f132(x103561,x103562,f317(f9(x103562,x103561,x103561),x103563),f317(x103564,x103565)),x103566),f317(x103564,f317(f132(x103567,x103562,f317(f9(x103562,x103567,x103567),x103568),x103565),x103566)))+P1(f317(f317(f319(x103562),f715(x103565,x103568,x103564,x103563,x103567,x103561,x103566,x103562)),f317(f162(x103562),x103566)))
% 184.03/183.90 [10375]~E(f317(f67(x103751,x103751,x103757,f317(x103753,f715(x103755,x103758,x103754,x103753,x103757,x103751,x103756,x103752))),x103754),f317(f67(x103757,x103751,x103757,x103754),f317(x103758,f715(x103755,x103758,x103754,x103753,x103757,x103751,x103756,x103752))))+E(f317(f132(x103751,x103752,f317(f9(x103752,x103751,x103751),x103753),f317(x103754,x103755)),x103756),f317(x103754,f317(f132(x103757,x103752,f317(f9(x103752,x103757,x103757),x103758),x103755),x103756)))
% 184.03/183.90 [8592]E(f317(x85921,f317(x85922,x85923)),f317(x85924,f317(x85925,x85923)))+~E(f317(f67(x85926,x85927,x85928,x85921),x85922),f317(f67(x85929,x85927,x85928,x85924),x85925))
% 184.03/183.90 [10213]P1(f317(f317(f319(f905(x102131,x102132)),f317(f317(f242(x102131,x102132),f317(x102133,x102134)),f317(x102135,x102136))),f317(f300(f905(x102137,x102138),f905(x102131,x102132),f248(x102137,x102131,x102138,x102132,x102133,x102135)),x102139)))+~P1(f317(f317(f319(f905(x102137,x102138)),f317(f317(f242(x102137,x102138),x102134),x102136)),x102139))
% 184.03/183.90 [8887]~E(f317(x88874,f317(x88875,x88876)),f317(x88879,f317(x888710,x888711)))+E(f317(f317(f67(x88871,x88872,x88873,x88874),x88875),x88876),f317(f317(f67(x88877,x88872,x88878,x88879),x888710),x888711))
% 184.03/183.90 [4651]~P107(x46511)+~P97(x46511)+E(f91(x46511),f223(x46511))
% 184.03/183.90 [4652]~P107(x46521)+~P103(x46521)+E(f228(x46521),f92(x46521))
% 184.03/183.90 [4897]~P113(x48971)+~P93(x48971)+E(f317(f70(x48971),f317(f94(x48971),a87)),f72(x48971))
% 184.03/183.90 [5190]E(x51901,f2(a1))+E(f76(a1,x51901),f317(f73(a1),f72(a1)))+P1(f317(f317(f225(a1),f2(a1)),x51901))
% 184.03/183.90 [5395]E(x53951,f2(a1))+E(f76(a1,x53951),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x53951))
% 184.03/183.90 [7456]~P39(x74561)+P1(f317(f28(a1),x74561))+~P1(f317(f28(a899),f317(f300(a1,a899,a95),x74561)))
% 184.03/183.90 [9792]E(x97921,f178(f906(f905(a899,a899),a895)))+~P1(f317(f28(f905(a899,a899)),x97921))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),x97921)),a27))
% 184.03/183.90 [9954]E(x99541,f2(a899))+E(x99541,f317(a102,f2(a899)))+~P1(f317(f317(f225(a899),x99541),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.90 [10242]E(x102421,f2(a89))+E(f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a24,f317(f317(f30(a89),x102421),f317(f94(a89),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f72(a1)),f317(a24,x102421))+E(f40(a89,x102421,f317(f94(a89),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89))
% 184.03/183.90 [10090]E(x100901,f2(a89))+~E(f40(a89,x100901,f317(f94(a89),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89))+E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a24,f317(f317(f30(a89),x100901),f317(f94(a89),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(a24,x100901))
% 184.03/183.90 [4732]~P57(x47321,x47322)+P43(x47321,x47322)+~P44(a895)
% 184.03/183.90 [4661]~P145(x46611)+P27(x46611,x46612)+~E(x46612,f2(x46611))
% 184.03/183.90 [4662]~P107(x46621)+P13(x46621,x46622)+~E(x46622,f103(x46621))
% 184.03/183.90 [4671]~P113(x46711)+~E(x46712,f2(x46711))+E(f76(x46711,x46712),f2(x46711))
% 184.03/183.90 [4672]~P89(x46721)+~E(x46722,f2(x46721))+E(f76(x46721,x46722),f2(x46721))
% 184.03/183.90 [4680]~P145(x46802)+~P27(x46802,x46801)+E(x46801,f2(x46802))
% 184.03/183.90 [4725]~P113(x47252)+~E(f76(x47252,x47251),f2(x47252))+E(x47251,f2(x47252))
% 184.03/183.90 [4739]~P2(x47392)+~P2(x47391)+P2(f906(x47391,x47392))
% 184.03/183.90 [4740]~P2(x47402)+~P2(x47401)+P2(f904(x47401,x47402))
% 184.03/183.90 [4741]~P2(x47412)+~P2(x47411)+P2(f905(x47411,x47412))
% 184.03/183.90 [4742]~P6(x47422)+~P6(x47421)+P6(f184(x47421,x47422))
% 184.03/183.90 [4743]~P60(x47432)+~P60(x47431)+P60(f906(x47431,x47432))
% 184.03/183.90 [4744]~P60(x47442)+~P60(x47441)+P60(f904(x47441,x47442))
% 184.03/183.90 [4745]~P60(x47452)+~P60(x47451)+P60(f905(x47451,x47452))
% 184.03/183.90 [4746]~P104(x47462)+~P104(x47461)+P104(f905(x47461,x47462))
% 184.03/183.90 [4869]~P107(x48691)+~P13(x48691,x48692)+P13(x48691,f142(x48691,x48692))
% 184.03/183.90 [5117]~P6(x51172)+~P6(x51171)+P6(f40(a1,x51171,x51172))
% 184.03/183.90 [4682]~P76(x46821)+~E(x46822,f2(x46821))+E(f317(f73(x46821),x46822),x46822)
% 184.03/183.90 [4697]~P91(x46971)+~E(x46972,f2(a1))+E(f317(f93(x46971),x46972),f2(x46971))
% 184.03/183.90 [4698]~P141(x46981)+~E(x46982,f2(a1))+E(f317(f93(x46981),x46982),f2(x46981))
% 184.03/183.90 [4722]~P75(x47221)+~E(f2(x47221),x47222)+E(f317(f73(x47221),x47222),f2(x47221))
% 184.03/183.90 [4723]~P85(x47231)+~E(x47232,f2(x47231))+E(f317(f70(x47231),x47232),f2(x47231))
% 184.03/183.90 [4724]~P75(x47241)+~E(x47242,f2(x47241))+E(f317(f73(x47241),x47242),f2(x47241))
% 184.03/183.90 [4748]~P76(x47482)+E(x47481,f2(x47482))+~E(f317(f73(x47482),x47481),x47481)
% 184.03/183.90 [4750]E(x47501,f317(a95,x47502))+~E(x47501,f2(a899))+~E(x47502,f317(f90(a1),x47501))
% 184.03/183.90 [4751]E(f317(a95,x47511),x47512)+~E(x47512,f2(a899))+~E(x47511,f317(f90(a1),x47512))
% 184.03/183.90 [4755]~P91(x47552)+E(x47551,f2(a1))+~E(f317(f93(x47552),x47551),f2(x47552))
% 184.03/183.90 [4759]~P85(x47592)+E(x47591,f2(x47592))+~E(f317(f70(x47592),x47591),f2(x47592))
% 184.03/183.90 [4760]~P75(x47602)+E(x47601,f2(x47602))+~E(f317(f73(x47602),x47601),f2(x47602))
% 184.03/183.90 [4761]~P75(x47611)+E(f2(x47611),x47612)+~E(f317(f73(x47611),x47612),f2(x47611))
% 184.03/183.90 [4944]~P107(x49441)+~P13(x49441,x49442)+P13(x49441,f317(f161(x49441),x49442))
% 184.03/183.90 [4971]~P1(x49712)+~P1(x49711)+P1(f317(f317(a315,x49711),x49712))
% 184.03/183.90 [5009]~E(f72(a899),f2(a899))+E(f317(f29(x50091),x50092),f2(a899))+~P1(f317(f28(x50091),x50092))
% 184.03/183.90 [5045]~P115(x50451)+~P146(x50451)+E(f317(f317(f234(x50451),f2(x50451)),f317(a102,x50452)),f2(x50451))
% 184.03/183.90 [5085]~P107(x50851)+P13(x50851,f129(x50851,x50852))+~P1(f317(f28(x50851),x50852))
% 184.03/183.90 [5086]~P107(x50861)+P13(x50861,f707(x50862,x50861))+~P1(f317(f28(x50861),x50862))
% 184.03/183.90 [5109]~P107(x51091)+E(f317(f162(x51091),f129(x51091,x51092)),x51092)+~P1(f317(f28(x51091),x51092))
% 184.03/183.90 [5110]~P107(x51101)+E(f317(f162(x51101),f707(x51102,x51101)),x51102)+~P1(f317(f28(x51101),x51102))
% 184.03/183.90 [5139]P1(x51391)+P1(x51392)+~P1(f317(f317(a316,x51392),x51391))
% 184.03/183.90 [5152]E(x51521,f178(f906(x51522,a895)))+~E(f317(f29(x51522),x51521),f2(a899))+~P1(f317(f28(x51522),x51521))
% 184.03/183.90 [5157]P1(x51571)+~P1(x51572)+~P1(f317(f317(a320,x51572),x51571))
% 184.03/183.90 [5208]~P73(x52081)+E(f317(f70(x52081),x52082),x52082)+P1(f317(f317(f225(x52081),x52082),f2(x52081)))
% 184.03/183.90 [5268]~P60(x52682)+~P1(f317(f51(x52682),x52681))+P1(f317(x52681,f708(x52681,x52682)))
% 184.03/183.90 [5269]~P60(x52692)+~P1(f317(f51(x52692),x52691))+P1(f317(x52691,f716(x52691,x52692)))
% 184.03/183.90 [5310]E(x53101,f103(x53102))+P1(f317(f127(x53102),f104(x53102,x53101)))+~P1(f317(f127(x53102),x53101))
% 184.03/183.90 [5315]~P107(x53151)+~P1(f317(f28(x53151),x53152))+P1(f317(f127(x53151),f129(x53151,x53152)))
% 184.03/183.90 [5316]~P107(x53161)+~P1(f317(f28(x53161),x53162))+P1(f317(f127(x53161),f707(x53162,x53161)))
% 184.03/183.90 [5321]~P141(x53211)+E(f317(f90(x53211),f317(a95,x53212)),f317(f93(x53211),x53212))+P1(f317(f317(f225(a1),x53212),f2(a1)))
% 184.03/183.90 [5342]P7(x53422,x53421)+E(f317(x53421,f495(x53421)),f317(x53421,f498(x53421)))+P1(f317(f317(x53421,f495(x53421)),f498(x53421)))
% 184.03/183.90 [5355]E(f317(f90(a1),f326(x53551,x53552)),x53551)+P1(f317(x53552,f317(a95,x53551)))+~P1(f317(x53552,f2(a899)))
% 184.03/183.90 [5368]~P60(x53681)+~P1(f317(x53682,f721(x53682,x53681)))+P1(f317(f52(x53681),x53682))
% 184.03/183.90 [5369]~P60(x53691)+~P1(f317(x53692,f731(x53692,x53691)))+P1(f317(f52(x53691),x53692))
% 184.03/183.90 [5405]~P113(x54051)+~E(f76(x54051,x54052),f317(f73(x54051),f72(x54051)))+P1(f317(f317(f225(x54051),x54052),f2(x54051)))
% 184.03/183.90 [5480]~E(x54802,f2(a1))+E(f205(x54801,x54802),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54802),f2(a1)))
% 184.03/183.90 [5481]~E(x54811,f2(a1))+E(f205(x54811,x54812),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54812),f2(a1)))
% 184.03/183.90 [5534]E(f317(f90(a1),f326(x55341,x55342)),x55341)+P1(f317(x55342,f317(a95,x55341)))+P1(f317(f317(f225(a1),x55341),f2(a1)))
% 184.03/183.90 [5602]~P113(x56021)+E(f76(x56021,x56022),f317(f73(x56021),f72(x56021)))+~P1(f317(f317(f225(x56021),x56022),f2(x56021)))
% 184.03/183.90 [5603]~P85(x56031)+E(f317(f70(x56031),x56032),f317(f73(x56031),x56032))+~P1(f317(f317(f224(x56031),x56032),f2(x56031)))
% 184.03/183.90 [5604]~P85(x56041)+E(f317(f70(x56041),x56042),f317(f73(x56041),x56042))+~P1(f317(f317(f225(x56041),x56042),f2(x56041)))
% 184.03/183.90 [5605]~P73(x56051)+E(f317(f70(x56051),x56052),f317(f73(x56051),x56052))+~P1(f317(f317(f225(x56051),x56052),f2(x56051)))
% 184.03/183.90 [5705]~P1(f317(x57051,f326(x57052,x57051)))+P1(f317(x57051,f317(a95,x57052)))+~P1(f317(x57051,f2(a899)))
% 184.03/183.90 [5712]E(x57121,f2(a899))+E(f317(a102,f654(x57122,x57121)),x57121)+~P1(f317(f317(f225(a899),x57121),f317(a102,x57122)))
% 184.03/183.90 [5716]P7(x57161,x57162)+~E(f317(x57162,f495(x57162)),f317(x57162,f498(x57162)))+~P1(f317(f317(x57162,f495(x57162)),f498(x57162)))
% 184.03/183.90 [5734]~P107(x57341)+P13(x57341,x57342)+P1(f317(f317(f224(a899),f691(x57342,x57341)),f692(x57342,x57341)))
% 184.03/183.90 [5735]~P107(x57351)+P13(x57351,x57352)+P1(f317(f317(f224(a899),f698(x57352,x57351)),f703(x57352,x57351)))
% 184.03/183.90 [5821]~P85(x58211)+~E(x58212,f2(x58211))+P1(f317(f317(f224(x58211),f317(f70(x58211),x58212)),f2(x58211)))
% 184.03/183.90 [5918]~P1(f317(x59181,f326(x59182,x59181)))+P1(f317(x59181,f317(a95,x59182)))+P1(f317(f317(f225(a1),x59182),f2(a1)))
% 184.03/183.90 [5943]~P1(f317(x59431,f317(a95,x59432)))+P1(f317(x59431,f2(a899)))+~P1(f317(f317(f225(a1),x59432),f2(a1)))
% 184.03/183.90 [6296]~P113(x62961)+~P1(f317(f317(f225(x62961),x62962),f2(x62961)))+P1(f317(f317(f225(x62961),f76(x62961,x62962)),f2(x62961)))
% 184.03/183.90 [6416]~P113(x64161)+P1(f317(f317(f224(x64161),f317(f93(x64161),x64162)),f2(x64161)))+~P1(f317(f317(f224(a1),x64162),f2(a1)))
% 184.03/183.90 [6417]~P113(x64171)+P1(f317(f317(f225(x64171),f317(f93(x64171),x64172)),f2(x64171)))+~P1(f317(f317(f225(a1),x64172),f2(a1)))
% 184.03/183.90 [6426]~P85(x64262)+E(x64261,f2(x64262))+~P1(f317(f317(f224(x64262),f317(f70(x64262),x64261)),f2(x64262)))
% 184.03/183.90 [6504]~P141(x65041)+~P1(f317(f317(f319(x65041),x65042),f100(x65041)))+P1(f317(f317(f319(x65041),f317(f73(x65041),x65042)),f100(x65041)))
% 184.03/183.90 [6536]~P113(x65361)+~P1(f317(f317(f225(x65361),f76(x65361,x65362)),f2(x65361)))+P1(f317(f317(f225(x65361),x65362),f2(x65361)))
% 184.03/183.90 [6714]~P113(x67142)+~P1(f317(f317(f224(x67142),f317(f93(x67142),x67141)),f2(x67142)))+P1(f317(f317(f224(a1),x67141),f2(a1)))
% 184.03/183.90 [6715]~P113(x67152)+~P1(f317(f317(f225(x67152),f317(f93(x67152),x67151)),f2(x67152)))+P1(f317(f317(f225(a1),x67151),f2(a1)))
% 184.03/183.90 [7231]~P76(x72311)+~P1(f317(f317(f224(x72311),x72312),f2(x72311)))+P1(f317(f317(f224(x72311),f317(f317(f74(x72311),x72312),x72312)),f2(x72311)))
% 184.03/183.90 [7232]~P113(x72321)+~P1(f317(f317(f225(x72321),x72322),f2(x72321)))+P1(f317(f317(f225(x72321),f317(f317(f74(x72321),x72322),x72322)),f2(x72321)))
% 184.03/183.90 [7233]~P76(x72331)+~P1(f317(f317(f225(x72331),x72332),f2(x72331)))+P1(f317(f317(f225(x72331),f317(f317(f74(x72331),x72332),x72332)),f2(x72331)))
% 184.03/183.90 [7804]~P76(x78041)+~P1(f317(f317(f224(x78041),f317(f317(f74(x78041),x78042),x78042)),f2(x78041)))+P1(f317(f317(f224(x78041),x78042),f2(x78041)))
% 184.03/183.90 [7805]~P113(x78051)+~P1(f317(f317(f225(x78051),f317(f317(f74(x78051),x78052),x78052)),f2(x78051)))+P1(f317(f317(f225(x78051),x78052),f2(x78051)))
% 184.03/183.90 [7806]~P76(x78061)+~P1(f317(f317(f225(x78061),f317(f317(f74(x78061),x78062),x78062)),f2(x78061)))+P1(f317(f317(f225(x78061),x78062),f2(x78061)))
% 184.03/183.90 [4796]~E(x47962,f72(a899))+~E(x47961,f72(a899))+E(f317(f317(f75(a899),x47961),x47962),f72(a899))
% 184.03/183.90 [4797]~E(x47972,f72(a1))+~E(x47971,f72(a1))+E(f317(f317(f75(a1),x47971),x47972),f72(a1))
% 184.03/183.90 [4798]~E(x47982,f2(a899))+~E(x47981,f2(a899))+E(f317(f317(f74(a899),x47981),x47982),f2(a899))
% 184.03/183.90 [4853]~P124(x48532)+E(x48531,f2(x48532))+E(f317(f317(f281(x48532),x48531),x48531),f72(x48532))
% 184.03/183.90 [4854]~P3(x48542)+E(x48541,f2(x48542))+E(f317(f317(f30(x48542),x48541),x48541),f72(x48542))
% 184.03/183.90 [4855]~P125(x48552)+E(x48551,f2(x48552))+E(f317(f317(f281(x48552),x48551),x48551),f72(x48552))
% 184.03/183.90 [4875]~P142(x48751)+~E(x48752,f72(x48751))+E(f317(f317(f75(x48751),x48752),x48752),f72(x48751))
% 184.03/183.90 [4876]~P76(x48761)+~E(x48762,f2(x48761))+E(f317(f317(f74(x48761),x48762),x48762),f2(x48761))
% 184.03/183.91 [4877]~P125(x48771)+~E(x48772,f2(x48771))+E(f317(f317(f281(x48771),x48772),x48772),f2(x48771))
% 184.03/183.91 [4922]~E(x49222,f2(a899))+~E(x49221,f2(a899))+E(f317(f73(a1),f317(f90(a1),x49221)),f317(f90(a1),x49222))
% 184.03/183.91 [4941]E(x49411,f72(a899))+E(x49412,f2(a899))+~E(f317(f317(f75(a899),x49412),x49411),x49412)
% 184.03/183.91 [4953]E(x49531,f2(a899))+E(x49532,f2(a899))+~E(f317(f317(f75(a899),x49532),x49531),f2(a899))
% 184.03/183.91 [4980]~E(x49802,f2(a899))+~E(x49801,f317(a102,f2(a899)))+E(f317(f317(f74(a899),x49801),x49802),f317(a102,f2(a899)))
% 184.03/183.91 [4981]~E(x49811,f2(a899))+~E(x49812,f317(a102,f2(a899)))+E(f317(f317(f74(a899),x49811),x49812),f317(a102,f2(a899)))
% 184.03/183.91 [4988]E(x49881,f72(a1))+E(x49882,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49881),x49882),f72(a1))
% 184.03/183.91 [4989]E(x49891,f72(a1))+E(x49892,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49892),x49891),f72(a1))
% 184.03/183.91 [4990]E(x49901,f72(a1))+E(x49901,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49902),x49901),f72(a1))
% 184.03/183.91 [4992]E(x49921,f72(a1))+E(x49921,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49921),x49922),f72(a1))
% 184.03/183.91 [5017]~P76(x50172)+E(x50171,f2(x50172))+~E(f317(f317(f74(x50172),x50171),x50171),f2(x50172))
% 184.03/183.91 [5023]~E(x50231,f317(f94(a1),a87))+~E(x50232,f317(f94(a1),a87))+E(f317(f317(f75(a1),x50231),x50232),f72(a1))
% 184.03/183.91 [5034]E(x50341,f2(a899))+E(x50342,f2(a899))+~E(f317(f317(f74(a899),x50342),x50341),f317(a102,f2(a899)))
% 184.03/183.91 [5044]~P61(x50441)+~P93(x50441)+E(f317(f317(f281(x50441),x50442),f317(f94(x50441),a77)),f2(x50441))
% 184.03/183.91 [5051]~P142(x50511)+~E(x50512,f317(f73(x50511),f72(x50511)))+E(f317(f317(f75(x50511),x50512),x50512),f72(x50511))
% 184.03/183.91 [5056]~P6(x50562)+~P6(x50561)+P6(f317(f317(f75(a1),x50561),x50562))
% 184.03/183.91 [5057]~P6(x50572)+~P6(x50571)+P6(f317(f317(f74(a1),x50571),x50572))
% 184.03/183.91 [5058]~P6(x50582)+~P6(x50581)+P6(f317(f317(f30(a1),x50581),x50582))
% 184.03/183.91 [5060]~E(x50602,f2(a1))+E(x50601,f2(a1))+E(f41(x50601,x50602),f317(f317(f242(a1,a1),f2(a1)),x50601))
% 184.03/183.91 [5083]~E(x50832,f317(a102,f2(a899)))+~E(x50831,f317(a102,f2(a899)))+E(f317(f317(f75(a899),x50831),x50832),f317(a102,f2(a899)))
% 184.03/183.91 [5100]E(x51001,f2(a899))+E(x51002,f317(a102,f2(a899)))+~E(f317(f317(f234(a899),x51002),x51001),f317(a102,f2(a899)))
% 184.03/183.91 [5101]E(x51011,f2(a899))+E(x51011,f317(a102,f2(a899)))+~E(f317(f317(f74(a899),x51012),x51011),f317(a102,f2(a899)))
% 184.03/183.91 [5102]E(x51021,f2(a899))+E(x51021,f317(a102,f2(a899)))+~E(f317(f317(f74(a899),x51021),x51022),f317(a102,f2(a899)))
% 184.03/183.91 [5111]~P61(x51111)+~P93(x51111)+E(f317(f317(f281(x51111),x51112),f317(f94(x51111),a87)),f317(f73(x51111),x51112))
% 184.03/183.91 [5131]E(x51311,f317(a95,x51312))+~E(x51311,f2(a899))+P1(f317(f317(f224(a1),f2(a1)),x51312))
% 184.03/183.91 [5132]E(f317(a95,x51321),x51322)+~E(x51322,f2(a899))+P1(f317(f317(f224(a1),f2(a1)),x51321))
% 184.03/183.91 [5148]E(x51481,f317(a102,f2(a899)))+E(x51482,f317(a102,f2(a899)))+~E(f317(f317(f74(a899),x51481),x51482),f317(a102,f2(a899)))
% 184.03/183.91 [5159]~E(x51591,f317(a95,x51592))+E(x51591,f2(a899))+P1(f317(f317(f224(a1),f2(a1)),x51592))
% 184.03/183.91 [5160]~E(f317(a95,x51602),x51601)+E(x51601,f2(a899))+P1(f317(f317(f224(a1),f2(a1)),x51602))
% 184.03/183.91 [5183]~P107(x51831)+E(f317(f57(x51831,f228(x51831)),x51832),f16(x51831,x51832))+~P1(f317(f28(x51831),x51832))
% 184.03/183.91 [5184]~P107(x51841)+E(f317(f57(x51841,f223(x51841)),x51842),f17(x51841,x51842))+~P1(f317(f28(x51841),x51842))
% 184.03/183.91 [5185]~P98(x51851)+E(f317(f57(x51851,f91(x51851)),x51852),f12(x51851,x51852))+~P1(f317(f28(x51851),x51852))
% 184.03/183.91 [5186]~P98(x51861)+E(f317(f57(x51861,f92(x51861)),x51862),f13(x51861,x51862))+~P1(f317(f28(x51861),x51862))
% 184.03/183.91 [5263]E(x52631,x52632)+~E(f317(f317(f3(a899),x52632),x52631),f2(a899))+~E(f317(f317(f3(a899),x52631),x52632),f2(a899))
% 184.03/183.91 [5280]P6(x52801)+~P39(x52802)+~P1(f317(f317(f319(a1),x52801),x52802))
% 184.03/183.91 [5311]~P113(x53111)+~E(f76(x53111,x53112),f72(x53111))+P1(f317(f317(f225(x53111),f2(x53111)),x53112))
% 184.03/183.91 [5322]~P93(x53221)+E(f317(f90(x53221),f317(f94(a899),x53222)),f317(f94(x53221),x53222))+P1(f317(a183,f317(f94(a1),x53222)))
% 184.03/183.91 [5327]~P43(x53271,x53272)+P44(a895)+P1(f317(f28(f905(x53271,x53271)),x53272))
% 184.03/183.91 [5397]~P107(x53971)+E(f317(f57(x53971,f228(x53971)),x53972),f14(x53971,f228(x53971),x53972))+~P1(f317(f28(x53971),x53972))
% 184.03/183.91 [5398]~P107(x53981)+E(f317(f57(x53981,f223(x53981)),x53982),f15(x53981,f223(x53981),x53982))+~P1(f317(f28(x53981),x53982))
% 184.03/183.91 [5412]E(x54121,x54122)+P1(f317(f317(f225(a899),x54122),x54121))+P1(f317(f317(f225(a899),x54121),x54122))
% 184.03/183.91 [5413]E(x54131,x54132)+P1(f317(f317(f225(a1),x54132),x54131))+P1(f317(f317(f225(a1),x54131),x54132))
% 184.03/183.91 [5467]~P93(x54671)+E(f317(f90(x54671),f317(f94(a899),x54672)),f2(x54671))+~P1(f317(a183,f317(f94(a1),x54672)))
% 184.03/183.91 [5470]~E(x54702,f317(a95,x54701))+E(x54701,f317(f90(a1),x54702))+~P1(f317(f317(f224(a1),f2(a1)),x54701))
% 184.03/183.91 [5471]~E(f317(a95,x54711),x54712)+E(x54711,f317(f90(a1),x54712))+~P1(f317(f317(f224(a1),f2(a1)),x54711))
% 184.03/183.91 [5472]~E(x54721,f317(a95,x54722))+E(f317(f90(a1),x54721),x54722)+~P1(f317(f317(f224(a1),f2(a1)),x54722))
% 184.03/183.91 [5482]E(x54821,f317(a95,x54822))+~E(x54822,f317(f90(a1),x54821))+~P1(f317(f317(f224(a1),f2(a1)),x54822))
% 184.03/183.91 [5483]E(f317(a95,x54831),x54832)+~E(x54831,f317(f90(a1),x54832))+~P1(f317(f317(f224(a1),f2(a1)),x54831))
% 184.03/183.91 [5514]~P120(x55142)+E(x55141,f2(x55142))+~P1(f317(f317(f277(x55142),f2(x55142)),x55141))
% 184.03/183.91 [5525]~P85(x55252)+E(x55251,f2(x55252))+P1(f317(f317(f225(x55252),f2(x55252)),f317(f70(x55252),x55251)))
% 184.03/183.91 [5589]~P113(x55891)+E(f76(x55891,x55892),f72(x55891))+~P1(f317(f317(f225(x55891),f2(x55891)),x55892))
% 184.03/183.91 [5595]~P93(x55951)+E(f317(f90(x55951),f317(f94(a899),x55952)),f2(x55951))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x55952)))
% 184.03/183.91 [5606]~P85(x56061)+E(f317(f70(x56061),x56062),x56062)+~P1(f317(f317(f224(x56061),f2(x56061)),x56062))
% 184.03/183.91 [5607]~P85(x56071)+E(f317(f70(x56071),x56072),x56072)+~P1(f317(f317(f225(x56071),f2(x56071)),x56072))
% 184.03/183.91 [5616]E(x56161,f2(a899))+~E(f129(a899,f317(f292(a899,x56162),x56161)),f103(a899))+P1(f317(f317(f224(a899),x56161),x56162))
% 184.03/183.91 [5626]~P70(x56261)+E(f317(f317(f8(x56261,x56261),f7(x56261)),f317(f162(x56261),x56262)),f317(f155(x56261),x56262))+~P1(f317(f127(x56261),x56262))
% 184.03/183.91 [5629]~P141(x56291)+E(f317(f90(x56291),f317(a95,x56292)),f317(f93(x56291),x56292))+~P1(f317(f317(f224(a1),f2(a1)),x56292))
% 184.03/183.91 [5656]E(x56561,x56562)+P1(f317(f317(f225(a899),x56561),x56562))+~P1(f317(f317(f224(a899),x56561),x56562))
% 184.03/183.91 [5657]E(x56571,x56572)+P1(f317(f317(f225(a1),x56571),x56572))+~P1(f317(f317(f224(a1),x56571),x56572))
% 184.03/183.91 [5660]E(x56601,f72(a1))+~E(f317(f317(f75(a1),x56602),x56601),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56602))
% 184.03/183.91 [5661]E(x56611,f72(a1))+~E(f317(f317(f75(a1),x56611),x56612),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56611))
% 184.03/183.91 [5702]~P39(x57022)+P1(f317(f317(f224(a1),f2(a1)),x57021))+~P1(f317(f317(f319(a1),x57021),x57022))
% 184.03/183.91 [5721]~P57(x57211,x57212)+P36(x57211,x57212)+~P1(f317(f28(f905(x57211,x57211)),x57212))
% 184.03/183.91 [5723]~P57(x57231,x57232)+P43(x57231,x57232)+~P1(f317(f28(f905(x57231,x57231)),x57232))
% 184.03/183.91 [5765]E(x57651,f178(f906(x57652,a895)))+~P1(f317(f28(x57652),x57651))+P1(f317(f317(f225(a899),f2(a899)),f317(f29(x57652),x57651)))
% 184.03/183.91 [5792]~P1(f317(x57921,x57922))+P1(f317(x57921,f2(a899)))+P1(f317(f317(f225(a899),f804(x57922,x57921)),x57922))
% 184.03/183.91 [5815]E(x58151,f2(a899))+~E(f317(f155(a899),x58152),f2(a899))+~P1(f317(f317(f319(a899),x58151),f317(f162(a899),x58152)))
% 184.03/183.91 [5883]E(x58831,x58832)+~P1(f317(f317(f224(a899),x58832),x58831))+~P1(f317(f317(f224(a899),x58831),x58832))
% 184.03/183.91 [5884]E(x58841,x58842)+~P1(f317(f317(f224(a1),x58842),x58841))+~P1(f317(f317(f224(a1),x58841),x58842))
% 184.03/183.91 [5893]E(x58931,x58932)+~P1(f317(f317(f277(a899),x58932),x58931))+~P1(f317(f317(f277(a899),x58931),x58932))
% 184.03/183.91 [5895]E(f317(f29(x58951),x58952),f2(a899))+~P1(f317(f28(x58951),x58952))+P1(f317(f317(f319(x58951),f823(x58952,x58951)),x58952))
% 184.03/183.91 [5904]E(f45(x59041,x59042),f41(x59041,x59042))+P1(f317(f317(f224(a1),f2(a1)),x59041))+~P1(f317(f317(f225(a1),f2(a1)),x59042))
% 184.03/183.91 [5930]~P1(f317(x59301,f325(x59301)))+P1(f317(x59301,f317(a95,x59302)))+~P1(f317(f317(f224(a1),f2(a1)),x59302))
% 184.03/183.91 [5933]P1(f317(f317(f224(a899),x59331),f887(x59332)))+~P1(f317(f28(a899),x59332))+~P1(f317(f317(f319(a899),x59331),x59332))
% 184.03/183.91 [5934]P1(f317(f317(f225(a899),x59341),f889(x59342)))+~P1(f317(f28(a899),x59342))+~P1(f317(f317(f319(a899),x59341),x59342))
% 184.03/183.91 [5965]E(x59651,x59652)+~P1(f317(f317(f225(a899),x59651),f317(a102,x59652)))+P1(f317(f317(f225(a899),x59651),x59652))
% 184.03/183.91 [6002]E(x60021,f317(a102,x60022))+~P1(f317(f317(f224(a899),x60021),f317(a102,x60022)))+P1(f317(f317(f224(a899),x60021),x60022))
% 184.03/183.91 [6018]P1(f317(x60181,f892(x60181)))+~P1(f317(x60181,f317(a95,x60182)))+~P1(f317(f317(f224(a1),f2(a1)),x60182))
% 184.03/183.91 [6034]~P1(f317(x60341,x60342))+~P1(f317(f317(f224(a1),f2(a1)),x60342))+P1(f317(x60341,f317(f90(a1),f874(x60341))))
% 184.03/183.91 [6045]~P85(x60452)+~E(x60451,f2(x60452))+~P1(f317(f317(f225(x60452),f2(x60452)),f317(f70(x60452),x60451)))
% 184.03/183.91 [6070]~P57(x60701,x60702)+P36(x60701,f317(f276(x60701,x60701),x60702))+~P1(f317(f28(f905(x60701,x60701)),x60702))
% 184.03/183.91 [6079]~P93(x60791)+E(f317(f90(x60791),f317(f94(a899),x60792)),f317(f94(x60791),x60792))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x60792)))
% 184.03/183.91 [6082]E(f317(a102,x60821),x60822)+~P1(f317(f317(f225(a899),x60821),x60822))+P1(f317(f317(f225(a899),f317(a102,x60821)),x60822))
% 184.03/183.91 [6098]E(f317(f317(f30(a1),x60981),x60982),f2(a1))+~P1(f317(f317(f224(a1),x60981),f2(a1)))+~P1(f317(f317(f225(a1),x60982),x60981))
% 184.03/183.91 [6110]E(f40(a1,x61101,x61102),x61101)+~P1(f317(f317(f224(a1),x61101),f2(a1)))+~P1(f317(f317(f225(a1),x61102),x61101))
% 184.03/183.91 [6124]E(f42(x61241,x61242),f41(x61241,x61242))+~P1(f317(f317(f224(a1),f2(a1)),x61241))+~P1(f317(f317(f224(a1),f2(a1)),x61242))
% 184.03/183.91 [6134]E(f317(f317(f30(a1),x61341),x61342),f2(a1))+~P1(f317(f317(f224(a1),f2(a1)),x61341))+~P1(f317(f317(f225(a1),x61341),x61342))
% 184.03/183.91 [6145]E(f40(a899,f317(f94(a899),x61451),f317(f94(a899),x61452)),f317(f94(a899),x61451))+P1(f317(a183,f317(f94(a1),x61451)))+~P1(f317(a183,f317(f94(a1),x61452)))
% 184.03/183.91 [6147]E(f40(a1,x61471,x61472),x61471)+~P1(f317(f317(f224(a1),f2(a1)),x61471))+~P1(f317(f317(f225(a1),x61471),x61472))
% 184.03/183.91 [6148]E(x61481,x61482)+~P1(f317(f317(f225(a899),x61481),f317(a102,x61482)))+~P1(f317(f317(f224(a899),x61482),x61481))
% 184.03/183.91 [6162]~P76(x61621)+~P1(f317(f317(f224(x61621),x61622),f2(x61621)))+P1(f317(f317(f224(x61621),x61622),f317(f73(x61621),x61622)))
% 184.03/183.91 [6163]~P113(x61631)+~P1(f317(f317(f225(x61631),x61632),f2(x61631)))+P1(f317(f317(f225(x61631),x61632),f317(f73(x61631),x61632)))
% 184.03/183.91 [6172]~P5(x61721)+E(f317(f317(f58(x61721,x61721,f91(x61721)),f178(x61721)),x61722),f31(x61721,x61722))+~P1(f317(f28(x61721),x61722))
% 184.03/183.91 [6173]~P5(x61731)+E(f317(f317(f58(x61731,x61731,f92(x61731)),f232(x61731)),x61732),f32(x61731,x61732))+~P1(f317(f28(x61731),x61732))
% 184.03/183.91 [6190]~P113(x61901)+~P1(f317(f317(f224(a1),f2(a1)),x61902))+P1(f317(f317(f224(x61901),f2(x61901)),f317(f93(x61901),x61902)))
% 184.03/183.91 [6191]~P112(x61911)+~P1(f317(f317(f225(a899),f2(a899)),x61912))+P1(f317(f317(f225(x61911),f2(x61911)),f317(f90(x61911),x61912)))
% 184.03/183.91 [6192]~P113(x61921)+~P1(f317(f317(f225(a1),f2(a1)),x61922))+P1(f317(f317(f225(x61921),f2(x61921)),f317(f93(x61921),x61922)))
% 184.03/183.91 [6195]~P6(x61952)+~P6(x61951)+E(f317(f300(a899,a1,f90(a1)),f293(a899,f317(a95,x61951),f317(a95,x61952))),f293(a1,x61951,x61952))
% 184.03/183.91 [6201]P1(f317(x62011,x62012))+~P1(f317(f317(f224(a1),f2(a1)),x62012))+~P1(f317(x62011,f317(f90(a1),f875(x62011))))
% 184.03/183.91 [6233]E(f317(f317(f74(a899),f317(f94(a899),x62331)),f317(f94(a899),x62332)),f317(f94(a899),x62331))+P1(f317(f317(f225(a1),x62331),a77))+~P1(f317(f317(f225(a1),x62332),a77))
% 184.03/183.91 [6237]~P113(x62371)+P1(f317(f317(f225(x62371),f2(x62371)),f76(x62371,x62372)))+~P1(f317(f317(f225(x62371),f2(x62371)),x62372))
% 184.03/183.91 [6251]~P78(x62511)+~P1(f317(f317(f224(x62511),x62512),f2(x62511)))+P1(f317(f317(f224(x62511),f2(x62511)),f317(f73(x62511),x62512)))
% 184.03/183.91 [6252]~P78(x62521)+~P1(f317(f317(f225(x62521),x62522),f2(x62521)))+P1(f317(f317(f225(x62521),f2(x62521)),f317(f73(x62521),x62522)))
% 184.03/183.91 [6255]E(x62551,f232(f906(x62552,a895)))+~E(f317(f29(x62552),x62551),f317(f29(x62552),f232(f906(x62552,a895))))+~P1(f317(f28(x62552),f232(f906(x62552,a895))))
% 184.03/183.91 [6281]~P1(f317(f317(f225(a899),f2(a899)),x62812))+~P1(f317(f317(f277(a899),x62811),x62812))+P1(f317(f317(f224(a899),x62811),x62812))
% 184.03/183.91 [6288]~P76(x62881)+P1(f317(f317(f224(x62881),x62882),f2(x62881)))+~P1(f317(f317(f224(x62881),x62882),f317(f73(x62881),x62882)))
% 184.03/183.91 [6289]~P113(x62891)+P1(f317(f317(f225(x62891),x62892),f2(x62891)))+~P1(f317(f317(f225(x62891),x62892),f317(f73(x62891),x62892)))
% 184.03/183.91 [6298]~P93(x62981)+P1(f317(f317(f319(x62981),f317(f94(x62981),x62982)),f176(x62981)))+~P1(f317(f317(f224(a1),a77),x62982))
% 184.03/183.91 [6327]E(x63271,f2(a899))+~P1(f317(f317(f225(a899),x63271),f317(a102,x63272)))+P1(f317(f317(f225(a899),f654(x63272,x63271)),x63272))
% 184.03/183.91 [6330]~P150(x63302)+P149(x63301,f317(f317(f299(a894),f911(x63302)),f178(f906(a894,a895))))+P1(f317(f317(f319(a897),f526(x63301,x63302)),a907))
% 184.03/183.91 [6352]~P113(x63521)+~P1(f317(f317(f225(x63521),f2(x63521)),f76(x63521,x63522)))+P1(f317(f317(f225(x63521),f2(x63521)),x63522))
% 184.03/183.91 [6354]~E(f317(f94(a899),x63542),f317(f94(a899),x63541))+P1(f317(f317(f224(a1),f317(f94(a1),x63541)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x63542)))
% 184.03/183.91 [6384]E(f317(f241(a1,a1),f45(x63841,x63842)),f317(f317(f30(a1),x63841),x63842))+~P1(f317(f317(f225(a1),x63841),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x63842))
% 184.03/183.91 [6424]E(f317(f246(a1,a1),f45(x64241,x64242)),f40(a1,x64241,x64242))+~P1(f317(f317(f225(a1),x64241),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64242))
% 184.03/183.91 [6427]~P113(x64272)+~P1(f317(f317(f224(x64272),f2(x64272)),f317(f93(x64272),x64271)))+P1(f317(f317(f224(a1),f2(a1)),x64271))
% 184.03/183.91 [6428]~P112(x64282)+~P1(f317(f317(f225(x64282),f2(x64282)),f317(f90(x64282),x64281)))+P1(f317(f317(f225(a899),f2(a899)),x64281))
% 184.03/183.91 [6429]~P113(x64292)+~P1(f317(f317(f225(x64292),f2(x64292)),f317(f93(x64292),x64291)))+P1(f317(f317(f225(a1),f2(a1)),x64291))
% 184.03/183.91 [6432]E(f317(f241(a1,a1),f42(x64321,x64322)),f317(f317(f30(a1),x64321),x64322))+~P1(f317(f317(f224(a1),f2(a1)),x64322))+~P1(f317(f317(f225(a1),f2(a1)),x64321))
% 184.03/183.91 [6446]E(f317(f246(a1,a1),f42(x64461,x64462)),f40(a1,x64461,x64462))+~P1(f317(f317(f224(a1),f2(a1)),x64462))+~P1(f317(f317(f225(a1),f2(a1)),x64461))
% 184.03/183.91 [6462]~P78(x64621)+P1(f317(f317(f224(x64621),x64622),f2(x64621)))+~P1(f317(f317(f224(x64621),f2(x64621)),f317(f73(x64621),x64622)))
% 184.03/183.91 [6463]~P78(x64631)+P1(f317(f317(f225(x64631),x64632),f2(x64631)))+~P1(f317(f317(f225(x64631),f2(x64631)),f317(f73(x64631),x64632)))
% 184.03/183.91 [6489]P1(f317(f44(x64891,x64892),f45(x64891,x64892)))+~P1(f317(f317(f225(a1),x64891),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64892))
% 184.03/183.91 [6503]~P1(f317(f317(f225(a899),f2(a899)),x65031))+~P1(f317(f317(f277(a899),x65032),x65031))+~P1(f317(f317(f225(a899),x65031),x65032))
% 184.03/183.91 [6516]P1(f317(f44(x65161,x65162),f42(x65161,x65162)))+~P1(f317(f317(f224(a1),f2(a1)),x65161))+~P1(f317(f317(f225(a1),f2(a1)),x65162))
% 184.03/183.91 [6559]~P78(x65591)+P1(f317(f317(f224(x65591),f317(f73(x65591),x65592)),f2(x65591)))+~P1(f317(f317(f224(x65591),f2(x65591)),x65592))
% 184.03/183.91 [6560]~P78(x65601)+P1(f317(f317(f225(x65601),f317(f73(x65601),x65602)),f2(x65601)))+~P1(f317(f317(f225(x65601),f2(x65601)),x65602))
% 184.03/183.91 [6581]E(f317(f317(f3(a899),f317(a95,x65811)),f317(a95,x65812)),f317(a95,f184(x65811,x65812)))+~P1(f317(f317(f224(a1),f2(a1)),x65812))+~P1(f317(f317(f224(a1),f2(a1)),x65811))
% 184.03/183.91 [6599]P1(f317(f317(f224(a1),f2(a1)),f184(x65991,x65992)))+~P1(f317(f317(f224(a1),f2(a1)),x65992))+~P1(f317(f317(f224(a1),f2(a1)),x65991))
% 184.03/183.91 [6636]~P1(f317(x66361,x66362))+P1(f317(x66361,f2(a899)))+P1(f317(x66361,f317(f317(f74(a899),f804(x66362,x66361)),f72(a899))))
% 184.03/183.91 [6721]E(f317(f94(a899),x67211),f317(f94(a899),x67212))+~P1(f317(f317(f224(a1),f317(f94(a1),x67212)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x67211)))
% 184.03/183.91 [6735]~E(x67351,f2(a899))+~E(f669(x67352,x67351),f2(a899))+E(f317(f132(a899,a899,f74(a899),x67351),x67352),f2(a899))
% 184.03/183.91 [6759]~P1(f317(f28(x67591),f381(x67592,x67591)))+~P1(f317(f28(f906(x67591,a895)),x67592))+P1(f317(f28(x67591),f31(f906(x67591,a895),x67592)))
% 184.03/183.91 [6765]E(x67651,x67652)+P1(f317(f317(f225(a1),x67651),x67652))+~P1(f317(f317(f225(a1),x67651),f317(f317(f74(a1),x67652),f72(a1))))
% 184.03/183.91 [6766]P1(f317(f317(f224(a899),f317(a95,x67661)),f317(a95,x67662)))+~P1(f317(f317(f224(a1),f2(a1)),x67662))+~P1(f317(f317(f224(a1),x67661),x67662))
% 184.03/183.91 [6767]P1(f317(f317(f224(a899),f317(a95,x67671)),f317(a95,x67672)))+~P1(f317(f317(f225(a1),f2(a1)),x67671))+~P1(f317(f317(f224(a1),x67671),x67672))
% 184.03/183.91 [6769]P1(f317(f317(f225(a899),f317(a95,x67691)),f317(a95,x67692)))+~P1(f317(f317(f224(a1),f2(a1)),x67691))+~P1(f317(f317(f225(a1),x67691),x67692))
% 184.03/183.91 [6770]P1(f317(f317(f225(a899),f317(a95,x67701)),f317(a95,x67702)))+~P1(f317(f317(f225(a1),f2(a1)),x67702))+~P1(f317(f317(f225(a1),x67701),x67702))
% 184.03/183.91 [6781]E(f40(a899,f317(a95,x67811),f317(a95,x67812)),f317(a95,f40(a1,x67811,x67812)))+~P1(f317(f317(f224(a1),f2(a1)),x67812))+~P1(f317(f317(f224(a1),f2(a1)),x67811))
% 184.03/183.91 [6806]~P78(x68061)+~P1(f317(f317(f224(x68061),f317(f73(x68061),x68062)),f2(x68061)))+P1(f317(f317(f224(x68061),f2(x68061)),x68062))
% 184.03/183.91 [6807]~P78(x68071)+~P1(f317(f317(f225(x68071),f317(f73(x68071),x68072)),f2(x68071)))+P1(f317(f317(f225(x68071),f2(x68071)),x68072))
% 184.03/183.91 [6822]~P1(f317(f317(f225(a1),a77),x68222))+~P1(f317(f317(f225(a1),x68221),x68222))+P1(f317(f317(f225(a899),f317(f94(a899),x68221)),f317(f94(a899),x68222)))
% 184.03/183.91 [6916]~P1(f317(f317(f224(a1),f2(a1)),x69161))+P1(f317(f317(f225(a899),f317(a95,x69161)),x69162))+~P1(f317(f317(f225(a1),x69161),f317(f90(a1),x69162)))
% 184.03/183.91 [6921]P1(f317(x69211,x69212))+~P1(f317(x69211,f317(a22,f791(x69211,x69212))))+~P1(f317(f317(f319(a899),x69212),f232(f906(a899,a895))))
% 184.03/183.91 [6932]E(x69321,f2(a1))+E(f40(a1,x69322,x69321),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f30(a1),x69322),x69321))),f72(a1)),f317(f317(f30(a1),x69322),f317(f73(a1),x69321)))
% 184.03/183.91 [6946]~P1(f317(f317(f224(a1),f2(a1)),x69461))+~P1(f317(f317(f225(a899),f317(a95,x69461)),x69462))+P1(f317(f317(f225(a1),x69461),f317(f90(a1),x69462)))
% 184.03/183.91 [6982]~P1(f317(f317(f224(a899),f317(a95,x69821)),f317(a95,x69822)))+~P1(f317(f317(f224(a1),f2(a1)),x69822))+P1(f317(f317(f224(a1),x69821),x69822))
% 184.03/183.91 [6983]~P1(f317(f317(f224(a899),f317(a95,x69831)),f317(a95,x69832)))+~P1(f317(f317(f225(a1),f2(a1)),x69831))+P1(f317(f317(f224(a1),x69831),x69832))
% 184.03/183.91 [7015]P1(f317(f317(f224(a1),x70151),x70152))+~P1(f317(f317(f224(a899),f317(f94(a899),x70151)),f317(f94(a899),x70152)))+P1(f317(f317(f224(a1),x70151),a77))
% 184.03/183.91 [7041]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x70411,x70412)))+~P1(f317(f317(f224(a1),f2(a1)),x70412))+~P1(f317(f317(f224(a1),f2(a1)),x70411))
% 184.03/183.91 [7139]P1(f317(f317(f225(a1),a77),x71391))+~P1(f317(f317(f225(a1),x71392),x71391))+~P1(f317(f317(f225(a899),f317(f94(a899),x71392)),f317(f94(a899),x71391)))
% 184.03/183.91 [7193]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x71931),x71932)),f40(a1,x71931,x71932)),f45(x71931,x71932))+~P1(f317(f317(f225(a1),x71931),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x71932))
% 184.03/183.91 [7213]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x72131),x72132)),f40(a1,x72131,x72132)),f42(x72131,x72132))+~P1(f317(f317(f224(a1),f2(a1)),x72132))+~P1(f317(f317(f224(a1),f2(a1)),x72131))
% 184.03/183.91 [7267]~P96(x72672)+E(x72671,f103(x72672))+E(f317(f132(x72672,x72672,f75(x72672),f317(f131(x72672),x72671)),f317(f161(x72672),x72671)),f317(f57(x72672,f75(x72672)),f317(f162(x72672),x72671)))
% 184.03/183.91 [7382]~E(x73821,f2(a899))+E(f317(f132(a899,a899,f74(a899),x73821),x73822),f2(a899))+P1(f317(f317(f319(a899),f669(x73822,x73821)),f317(f162(a899),x73822)))
% 184.03/183.91 [7435]~P1(f317(f317(f224(a1),x74351),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74351),x74352)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74352))
% 184.03/183.91 [7436]~P1(f317(f317(f225(a1),x74362),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74361),x74362)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x74361))
% 184.03/183.91 [7437]~P1(f317(f317(f225(a1),x74372),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74371),x74372)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74371))
% 184.03/183.91 [7439]~P1(f317(f317(f225(a1),x74391),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74391),x74392)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74392))
% 184.03/183.91 [7446]P1(f317(f317(f319(f906(x74461,a895)),f381(x74462,x74461)),x74462))+~P1(f317(f28(f906(x74461,a895)),x74462))+P1(f317(f28(x74461),f31(f906(x74461,a895),x74462)))
% 184.03/183.91 [7536]P24(x75361,x75361,x75362,f232(f906(x75361,a895)))+~E(f317(f300(x75361,x75361,x75362),f232(f906(x75361,a895))),f232(f906(x75361,a895)))+~P1(f317(f28(x75361),f232(f906(x75361,a895))))
% 184.03/183.91 [7658]~P24(x76581,x76581,x76582,f232(f906(x76581,a895)))+E(f317(f300(x76581,x76581,x76582),f232(f906(x76581,a895))),f232(f906(x76581,a895)))+~P1(f317(f28(x76581),f232(f906(x76581,a895))))
% 184.03/183.91 [7798]E(f317(f317(f30(a1),x77981),x77982),f317(f94(a1),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x77981),x77982)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x77981))
% 184.03/183.91 [7855]~P1(f317(f317(f225(a1),x78552),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78551),x78552)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78551))
% 184.03/183.91 [7860]E(f317(f317(f74(a1),x78601),x78602),f40(a1,x78601,x78602))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x78601),x78602)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78601))
% 184.03/183.91 [7863]P1(f317(f317(f225(a1),x78631),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78631),x78632)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78632))
% 184.03/183.91 [7879]~P150(x78792)+P149(x78791,f317(f317(f299(a894),f911(x78792)),f178(f906(a894,a895))))+~P149(x78791,f317(f317(f299(a894),f317(a910,f526(x78791,x78792))),f178(f906(a894,a895))))
% 184.03/183.91 [8561]~P107(x85611)+P13(x85611,x85612)+~P1(f317(f317(f224(x85611),f317(f317(f154(x85611),x85612),f691(x85612,x85611))),f317(f317(f154(x85611),x85612),f692(x85612,x85611))))
% 184.03/183.91 [8562]~P107(x85621)+P13(x85621,x85622)+~P1(f317(f317(f224(x85621),f317(f317(f154(x85621),x85622),f698(x85622,x85621))),f317(f317(f154(x85621),x85622),f703(x85622,x85621))))
% 184.03/183.91 [5758]E(x57581,f2(a1))+~E(f40(a1,x57582,x57581),f2(a1))+E(f317(f317(f30(a1),x57582),f317(f73(a1),x57581)),f317(f73(a1),f317(f317(f30(a1),x57582),x57581)))
% 184.03/183.91 [5776]~P39(x57762)+~P39(x57761)+P39(f317(f317(f91(f906(a1,a895)),x57761),x57762))
% 184.03/183.91 [5777]~P39(x57772)+~P39(x57771)+P39(f317(f317(f92(f906(a1,a895)),x57771),x57772))
% 184.03/183.91 [5795]~P61(x57951)+~P93(x57951)+E(f317(f73(x57951),f317(f317(f281(x57951),f72(x57951)),x57952)),f317(f317(f281(x57951),f317(f94(x57951),a87)),x57952))
% 184.03/183.91 [5922]E(x59221,f2(a1))+~E(f40(a1,x59222,x59221),f2(a1))+E(f317(f317(f30(a1),f317(f73(a1),x59222)),x59221),f317(f73(a1),f317(f317(f30(a1),x59222),x59221)))
% 184.03/183.91 [6064]~P107(x60641)+P13(x60641,x60642)+P1(f317(f317(f225(a899),f692(x60642,x60641)),f317(f179(f900(x60641)),x60642)))
% 184.03/183.91 [6065]~P107(x60651)+P13(x60651,x60652)+P1(f317(f317(f225(a899),f703(x60652,x60651)),f317(f179(f900(x60651)),x60652)))
% 184.03/183.91 [6227]~P93(x62271)+~E(f317(f94(x62271),x62272),f2(x62271))+P27(x62271,f317(f94(x62271),f317(f317(f74(a1),x62272),f317(f73(a1),a77))))
% 184.03/183.91 [6228]~P93(x62281)+~E(f317(f94(x62281),x62282),f2(x62281))+P27(x62281,f317(f94(x62281),f317(f317(f74(a1),a77),f317(f73(a1),x62282))))
% 184.03/183.91 [6230]E(f317(a46,f42(f317(f73(a1),x62301),f317(f73(a1),x62302))),f41(x62301,x62302))+P1(f317(f317(f224(a1),f2(a1)),x62301))+P1(f317(f317(f225(a1),f2(a1)),x62302))
% 184.03/183.91 [6360]~E(x63602,f2(a899))+~E(x63601,f2(a899))+P1(f317(f317(f224(a1),f317(f90(a1),x63601)),f317(f73(a1),f317(f90(a1),x63602))))
% 184.03/183.91 [6390]E(f317(f317(f74(a899),f317(f94(a899),x63901)),f317(f94(a899),x63902)),f317(f94(a899),f317(f317(f74(a1),x63901),x63902)))+P1(f317(f317(f225(a1),x63901),a77))+P1(f317(f317(f225(a1),x63902),a77))
% 184.03/183.91 [6525]~P76(x65251)+~P1(f317(f317(f224(x65251),f2(x65251)),x65252))+P1(f317(f317(f224(x65251),f317(f73(x65251),x65252)),x65252))
% 184.03/183.91 [6526]~P76(x65261)+~P1(f317(f317(f225(x65261),f2(x65261)),x65262))+P1(f317(f317(f225(x65261),f317(f73(x65261),x65262)),x65262))
% 184.03/183.91 [6707]E(f317(f317(f3(a899),f317(a95,x67071)),f317(a95,x67072)),f317(a95,f317(f317(f3(a1),x67071),x67072)))+~P1(f317(f317(f224(a1),f2(a1)),x67072))+~P1(f317(f317(f224(a1),x67072),x67071))
% 184.03/183.91 [6743]E(f317(a95,f40(a1,f317(f94(a1),x67431),f317(f94(a1),x67432))),f40(a899,f317(f94(a899),x67431),f317(f94(a899),x67432)))+P1(f317(a183,f317(f94(a1),x67431)))+P1(f317(a183,f317(f94(a1),x67432)))
% 184.03/183.91 [6760]~P76(x67601)+P1(f317(f317(f224(x67601),f2(x67601)),x67602))+~P1(f317(f317(f224(x67601),f317(f73(x67601),x67602)),x67602))
% 184.03/183.91 [6761]~P76(x67611)+P1(f317(f317(f225(x67611),f2(x67611)),x67612))+~P1(f317(f317(f225(x67611),f317(f73(x67611),x67612)),x67612))
% 184.03/183.91 [6773]~P76(x67731)+~P1(f317(f317(f224(x67731),f2(x67731)),x67732))+P1(f317(f317(f224(x67731),f2(x67731)),f317(f317(f74(x67731),x67732),x67732)))
% 184.03/183.91 [6775]~P76(x67751)+~P1(f317(f317(f225(x67751),f2(x67751)),x67752))+P1(f317(f317(f225(x67751),f2(x67751)),f317(f317(f74(x67751),x67752),x67752)))
% 184.03/183.91 [6788]E(f317(f317(f74(a899),f317(a95,x67881)),f317(a95,x67882)),f317(a95,f317(f317(f74(a1),x67881),x67882)))+~P1(f317(f317(f224(a1),f2(a1)),x67882))+~P1(f317(f317(f224(a1),f2(a1)),x67881))
% 184.03/183.91 [6799]E(x67991,f2(a899))+P1(f317(f317(f225(a899),f2(a899)),x67992))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f234(a899),x67992),x67991)))
% 184.03/183.91 [6834]~P93(x68341)+E(f317(f94(x68341),x68342),f2(x68341))+~P27(x68341,f317(f94(x68341),f317(f317(f74(a1),a77),f317(f73(a1),x68342))))
% 184.03/183.91 [6835]~P93(x68351)+E(f317(f94(x68351),x68352),f2(x68351))+~P27(x68351,f317(f94(x68351),f317(f317(f74(a1),x68352),f317(f73(a1),a77))))
% 184.03/183.91 [6894]~P1(f317(f28(x68941),x68942))+~P1(f317(f28(x68941),f232(f906(x68941,a895))))+P1(f317(f28(x68941),f317(f73(f906(x68941,a895)),x68942)))
% 184.03/183.91 [6917]~P1(f317(f317(f225(a1),f2(a1)),x69172))+~P1(f317(f317(f224(a1),x69172),x69171))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69171),x69172)))
% 184.03/183.91 [6918]~P1(f317(f317(f224(a1),x69181),f2(a1)))+~P1(f317(f317(f225(a1),x69182),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69181),x69182)))
% 184.03/183.91 [6956]~P1(f317(f317(f224(a1),f2(a1)),x69562))+~P1(f317(f317(f224(a1),f2(a1)),x69561))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f75(a1),x69561),x69562)))
% 184.03/183.91 [6957]~P1(f317(f317(f224(a1),f2(a1)),x69572))+~P1(f317(f317(f224(a1),f2(a1)),x69571))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x69571),x69572)))
% 184.03/183.91 [6958]~P1(f317(f317(f224(a1),f2(a1)),x69582))+~P1(f317(f317(f224(a1),f2(a1)),x69581))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69581),x69582)))
% 184.03/183.91 [6959]~P1(f317(f317(f224(a1),f2(a1)),x69591))+~P1(f317(f317(f225(a1),f2(a1)),x69592))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69591),x69592)))
% 184.03/183.91 [6960]~P1(f317(f317(f225(a899),f2(a899)),x69602))+~P1(f317(f317(f225(a899),f2(a899)),x69601))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f75(a899),x69601),x69602)))
% 184.03/183.91 [7028]E(x70281,f2(a1))+E(f40(a1,x70282,x70281),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f30(a1),x70282),x70281))),f72(a1)),f317(f317(f30(a1),f317(f73(a1),x70282)),x70281))
% 184.03/183.91 [7085]P1(f317(f317(f225(a899),f2(a899)),x70851))+P1(f317(f317(f225(a899),f2(a899)),x70852))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f74(a899),x70852),x70851)))
% 184.03/183.91 [7089]~P76(x70891)+P1(f317(f317(f224(x70891),f2(x70891)),x70892))+~P1(f317(f317(f224(x70891),f2(x70891)),f317(f317(f74(x70891),x70892),x70892)))
% 184.03/183.91 [7090]~P76(x70901)+P1(f317(f317(f225(x70901),f2(x70901)),x70902))+~P1(f317(f317(f225(x70901),f2(x70901)),f317(f317(f74(x70901),x70902),x70902)))
% 184.03/183.91 [7140]~P1(f317(f28(x71401),x71402))+P1(f317(f28(x71401),f232(f906(x71401,a895))))+~P1(f317(f28(x71401),f317(f73(f906(x71401,a895)),x71402)))
% 184.03/183.91 [7205]P1(f317(f317(f224(a1),x72051),f2(a1)))+~P1(f317(f317(f225(a1),x72052),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x72051),x72052)))
% 184.03/183.91 [7211]~P1(f317(f317(f225(a1),f2(a1)),x72111))+P1(f317(f317(f224(a1),x72111),x72112))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72112),x72111)))
% 184.03/183.91 [7212]~P1(f317(f317(f224(a1),f2(a1)),x72122))+P1(f317(f317(f224(a1),x72121),x72122))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72122),x72121)))
% 184.03/183.91 [7242]P1(f317(f317(f224(a1),f2(a1)),x72421))+~P1(f317(f317(f225(a1),f2(a1)),x72422))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x72421),x72422)))
% 184.03/183.91 [7243]P1(f317(f317(f225(a1),f2(a1)),x72431))+~P1(f317(f317(f224(a1),f2(a1)),x72432))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72432),x72431)))
% 184.03/183.91 [7689]~P1(f317(f28(x76892),f232(f906(x76892,a895))))+~P1(f317(f28(x76891),f232(f906(x76891,a895))))+P1(f317(f28(f904(x76891,x76892)),f232(f906(f904(x76891,x76892),a895))))
% 184.03/183.91 [7690]~P1(f317(f28(x76902),f232(f906(x76902,a895))))+~P1(f317(f28(x76901),f232(f906(x76901,a895))))+P1(f317(f28(f905(x76901,x76902)),f232(f906(f905(x76901,x76902),a895))))
% 184.03/183.91 [7762]~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x77621))+~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x77622))+P1(f317(f317(f225(a899),x77621),f317(f317(f75(a899),x77622),x77621)))
% 184.03/183.91 [7763]~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x77631))+~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x77632))+P1(f317(f317(f225(a899),x77631),f317(f317(f75(a899),x77631),x77632)))
% 184.03/183.91 [7797]E(f317(f29(x77971),f232(f906(x77971,a895))),f317(a102,f2(a899)))+P1(f317(f28(x77972),f232(f906(x77972,a895))))+~P1(f317(f28(f906(x77972,x77971)),f232(f906(f906(x77972,x77971),a895))))
% 184.03/183.91 [7925]~P1(f317(f317(f224(a899),f317(a102,f2(a899))),x79251))+~P1(f317(f317(f224(a899),f317(a102,f2(a899))),x79252))+P1(f317(f317(f224(a899),f317(a102,f2(a899))),f317(f317(f75(a899),x79251),x79252)))
% 184.03/183.91 [7926]~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x79262))+~P1(f317(f317(f225(a899),f317(a102,f2(a899))),x79261))+P1(f317(f317(f225(a899),f317(a102,f2(a899))),f317(f317(f75(a899),x79261),x79262)))
% 184.03/183.91 [8608]E(x86081,f103(x86082))+~P1(f317(f127(x86082),x86081))+E(f167(x86082,f317(f317(f10(a895,a895,x86082),a312),f317(f317(f9(x86082,x86082,a895),a314),f134(x86082,x86081))),x86081),f104(x86082,x86081))
% 184.03/183.91 [8703]~P39(x87032)+~P39(x87031)+E(f317(f300(a899,a1,f90(a1)),f317(f317(f91(f906(a899,a895)),f317(f300(a1,a899,a95),x87031)),f317(f300(a1,a899,a95),x87032))),f317(f317(f91(f906(a1,a895)),x87031),x87032))
% 184.03/183.91 [8704]~P39(x87042)+~P39(x87041)+E(f317(f300(a899,a1,f90(a1)),f317(f317(f92(f906(a899,a895)),f317(f300(a1,a899,a95),x87041)),f317(f300(a1,a899,a95),x87042))),f317(f317(f92(f906(a1,a895)),x87041),x87042))
% 184.03/183.91 [9370]~P93(x93701)+~E(f317(f94(x93701),x93702),f72(x93701))+P27(x93701,f317(f94(x93701),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x93702))))
% 184.03/183.91 [9623]~P93(x96231)+E(f317(f94(x96231),x96232),f72(x96231))+~P27(x96231,f317(f94(x96231),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x96232))))
% 184.03/183.91 [10382]E(x103821,f2(a1))+E(x103822,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103822))),f317(f317(f317(f86(f905(a1,a1)),f317(f317(a314,f76(a1,x103821)),f76(a1,x103822))),f48(x103821,x103822)),f317(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f20(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f20(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f10(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f9(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f10(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f9(a1,a1,a895),a314),f2(a1))))),f317(f317(f9(a1,a1,f905(a1,a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f10(a1,f905(a1,a1),a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f906(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103822))))),f48(x103821,x103822)))),f41(x103821,x103822))
% 184.03/183.91 [10383]E(x103831,f2(a1))+E(x103832,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103832))),f317(f317(f317(f86(f905(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f225(a1),f2(a1)),x103832)),f317(f317(f224(a1),f2(a1)),x103831))),f317(f317(a315,f317(f317(f225(a1),x103832),f2(a1))),f317(f317(f225(a1),x103831),f2(a1))))),f48(x103831,x103832)),f317(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f20(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f20(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f10(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f9(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f10(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f9(a1,a1,a895),a314),f2(a1))))),f317(f317(f9(a1,a1,f905(a1,a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f10(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f10(a1,f905(a1,a1),a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f906(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103832))))),f48(x103831,x103832)))),f41(x103831,x103832))
% 184.03/183.91 [5784]~P113(x57841)+~P93(x57841)+E(f317(f70(x57841),f317(f317(f234(x57841),f317(f94(x57841),a87)),x57842)),f72(x57841))
% 184.03/183.91 [6299]~P141(x62991)+~P1(f317(f317(f225(a1),x62992),f2(a1)))+E(f317(f73(x62991),f317(f90(x62991),f317(a95,f317(f73(a1),x62992)))),f317(f93(x62991),x62992))
% 184.03/183.91 [6509]P1(f317(f317(f224(a89),x65091),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65091,f317(f317(f30(a89),x65092),x65091))),f262(x65091,x65092))+P1(f317(f317(f225(a89),x65092),x65091))
% 184.03/183.91 [6997]~E(x69972,f72(a899))+~P1(f317(f317(f225(a899),f2(a899)),x69971))+P1(f317(f317(f277(a899),f317(f317(f75(a899),x69971),x69972)),x69971))
% 184.03/183.91 [6998]~E(x69981,f72(a899))+~P1(f317(f317(f225(a899),f2(a899)),x69982))+P1(f317(f317(f277(a899),f317(f317(f75(a899),x69981),x69982)),x69982))
% 184.03/183.91 [7130]~P91(x71301)+~P1(f317(f317(f319(x71301),x71302),f100(x71301)))+~E(f317(f317(f74(x71301),f317(f317(f74(x71301),f72(x71301)),x71302)),x71302),f2(x71301))
% 184.03/183.91 [7244]~P1(f317(f317(f224(a1),x72442),f2(a1)))+~P1(f317(f317(f225(a1),x72441),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f42(f317(f73(a1),x72441),f317(f73(a1),x72442)))),f317(f317(f30(a1),x72441),x72442))
% 184.03/183.91 [7261]~P1(f317(f317(f224(a1),x72612),f2(a1)))+~P1(f317(f317(f225(a1),x72611),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f42(f317(f73(a1),x72611),f317(f73(a1),x72612)))),f40(a1,x72611,x72612))
% 184.03/183.91 [7269]~P1(f317(f317(f225(a1),x72692),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),x72691),f317(f73(a1),x72692)))),f317(f317(f30(a1),x72691),x72692))+~P1(f317(f317(f225(a1),f2(a1)),x72691))
% 184.03/183.91 [7287]~P1(f317(f317(f225(a1),x72872),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),x72871),f317(f73(a1),x72872)))),f40(a1,x72871,x72872))+~P1(f317(f317(f225(a1),f2(a1)),x72871))
% 184.03/183.91 [7338]E(f317(f317(f30(a1),f317(f317(f234(a1),x73381),x73382)),x73381),f317(f317(f234(a1),x73381),f317(f317(f3(a899),x73382),f317(a102,f2(a899)))))+~P1(f317(f317(f225(a899),f2(a899)),x73382))+~P1(f317(f317(f225(a1),f2(a1)),x73381))
% 184.03/183.91 [7442]~P1(f317(f317(f225(a899),f2(a899)),x74421))+~P1(f317(f317(f225(a899),f2(a899)),x74422))+P1(f317(f317(f225(a899),f317(f317(f3(a899),x74421),x74422)),x74421))
% 184.03/183.91 [7443]~P1(f317(f317(f225(a899),f2(a899)),x74431))+~P1(f317(f317(f225(a899),f72(a899)),x74432))+P1(f317(f317(f225(a899),f317(f317(f30(a899),x74431),x74432)),x74431))
% 184.03/183.91 [7444]~P1(f317(f317(f225(a1),f2(a1)),x74441))+~P1(f317(f317(f225(a1),f72(a1)),x74442))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74441),x74442)),x74441))
% 184.03/183.91 [7581]E(x75811,f2(a899))+~E(x75812,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75812)),x75811)))
% 184.03/183.91 [7622]E(x76221,f72(a899))+~P1(f317(f317(f225(a899),f2(a899)),x76222))+~P1(f317(f317(f277(a899),f317(f317(f75(a899),x76222),x76221)),x76222))
% 184.03/183.91 [7623]E(x76231,f72(a899))+~P1(f317(f317(f225(a899),f2(a899)),x76232))+~P1(f317(f317(f277(a899),f317(f317(f75(a899),x76231),x76232)),x76232))
% 184.03/183.91 [8004]~E(x80042,f103(f900(x80041)))+E(f317(f179(f900(f900(x80041))),f169(x80041,x80042)),f2(a899))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x80041),a899),f179(f900(x80041))),x80042)))
% 184.03/183.91 [8257]P1(f317(x82571,x82572))+~P1(f317(x82571,f317(a97,f520(x82571,x82572))))+~P1(f317(f317(f319(f906(f905(a899,a899),a895)),x82572),a88))
% 184.03/183.91 [8273]E(x82731,f103(f900(x82732)))+E(f317(f179(f900(x82732)),f317(f317(f154(f900(x82732)),x82731),f2(a899))),f317(f179(f900(f900(x82732))),f169(x82732,x82731)))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x82732),a899),f179(f900(x82732))),x82731)))
% 184.03/183.91 [8414]~P37(x84141,x84142)+~P38(x84141,x84142)+P37(x84141,f317(f317(f3(f906(f905(x84141,x84141),a895)),x84142),f297(x84141,f178(f906(f905(x84141,x84141),a895)))))
% 184.03/183.91 [8988]~P1(f317(f28(x89881),f317(f252(x89881),x89882)))+~P1(f317(f28(x89881),f232(f906(x89881,a895))))+P1(f317(f28(x89881),f317(f252(x89881),f317(f317(f10(a895,a895,x89881),a312),x89882))))
% 184.03/183.91 [9052]E(f317(f317(f242(a899,a899),f317(a102,f317(f317(f30(a899),f317(f317(f3(a899),x90521),x90522)),x90522))),f40(a899,f317(f317(f3(a899),x90521),x90522),x90522)),f79(f905(a899,a899),f43(x90521,x90522)))+~P1(f317(f317(f225(a899),f2(a899)),x90522))+~P1(f317(f317(f224(a899),x90522),x90521))
% 184.03/183.91 [9335]~P1(f317(f28(x93351),f317(f252(x93351),x93352)))+P1(f317(f28(x93351),f232(f906(x93351,a895))))+~P1(f317(f28(x93351),f317(f252(x93351),f317(f317(f10(a895,a895,x93351),a312),x93352))))
% 184.03/183.91 [10063]P26(x100631,x100632)+~P36(x100631,f317(f241(f906(f905(x100631,x100631),a895),f906(f905(x100631,x100631),a895)),x100632))+~P1(f317(f317(f224(f906(f905(x100631,x100631),a895)),f317(f317(f279(x100631,x100631,x100631),f317(f241(f906(f905(x100631,x100631),a895),f906(f905(x100631,x100631),a895)),x100632)),f317(f246(f906(f905(x100631,x100631),a895),f906(f905(x100631,x100631),a895)),x100632))),f317(f241(f906(f905(x100631,x100631),a895),f906(f905(x100631,x100631),a895)),x100632)))
% 184.03/183.91 [10160]~E(f290(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x101602,x101601),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x101602),x101601))+P1(f317(f317(f277(a899),x101601),x101602))
% 184.03/183.91 [10161]~E(f287(a899,f277(a899),f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x101612,x101611),f178(f906(a899,a895)))+~P1(f317(f317(f277(a899),x101612),x101611))+P1(f317(f317(f277(a899),x101611),x101612))
% 184.03/183.91 [7368]~P1(f317(f317(f225(a899),f2(a899)),x73682))+P1(f317(f317(f225(a899),x73681),x73682))+E(f317(a102,f317(f317(f30(a899),f317(f317(f3(a899),x73681),x73682)),x73682)),f317(f317(f30(a899),x73681),x73682))
% 184.03/183.91 [7509]~P1(f317(f317(f225(a899),f2(a899)),x75092))+~P1(f317(f317(f224(a899),x75092),x75091))+E(f317(a102,f317(f317(f30(a899),f317(f317(f3(a899),x75091),x75092)),x75092)),f317(f317(f30(a899),x75091),x75092))
% 184.03/183.91 [8478]~P93(x84781)+~P91(x84781)+~P27(x84781,f317(f94(x84781),f317(f317(f3(a1),f317(f317(f74(a1),x84782),x84782)),a87)))
% 184.03/183.91 [9241]E(x92411,f2(a899))+E(f317(f317(f247(a899,a899,f905(a899,a899)),f317(f317(f10(a899,f906(a899,f905(a899,a899)),a899),f242(a899,a899)),a102)),f79(f905(a899,a899),f43(f317(f317(f3(a899),x92412),x92411),x92411))),f79(f905(a899,a899),f43(x92412,x92411)))+P1(f317(f317(f225(a899),x92412),x92411))
% 184.03/183.91 [9425]~P37(x94251,x94252)+~P51(x94251,x94252)+P1(f317(f317(f224(f906(f905(x94251,x94251),a895)),f317(f317(f279(x94251,x94251,x94251),f317(f276(x94251,x94251),x94252)),x94252)),x94252))
% 184.03/183.91 [9688]P1(f317(x96882,f598(x96882,x96881)))+P1(f317(x96881,f598(x96882,x96881)))+E(f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96881)),f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96882)))
% 184.03/183.91 [9692]~P1(f317(x96922,f598(x96922,x96921)))+~P1(f317(x96921,f598(x96922,x96921)))+E(f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96921)),f317(f252(a1),f317(f317(f20(a1,a895,a895),f317(f317(f10(a895,f906(a895,a895),a1),a315),f317(f224(a1),f2(a1)))),x96922)))
% 184.03/183.91 [10243]~P1(f317(f317(f277(a899),x102432),x102431))+P1(f317(f317(f277(a899),x102431),x102432))+P1(f317(f317(f319(a899),x102431),f285(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102432)))
% 184.03/183.91 [10244]~P1(f317(f317(f277(a899),x102442),x102441))+P1(f317(f317(f277(a899),x102441),x102442))+P1(f317(f317(f319(a899),x102442),f288(a899,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x102441)))
% 184.03/183.91 [7720]~P62(x77201)+~P93(x77201)+E(f317(f317(f281(x77201),x77202),f317(f94(x77201),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x77202)
% 184.03/183.91 [9369]~P93(x93691)+~E(f317(f94(x93691),x93692),f72(x93691))+P27(x93691,f317(f94(x93691),f317(f317(f74(a1),x93692),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.91 [9557]~P142(x95571)+~E(x95572,f72(x95571))+E(f317(f317(f234(x95571),x95572),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95571))
% 184.03/183.91 [9558]~P142(x95581)+~E(x95582,f2(x95581))+E(f317(f317(f234(x95581),x95582),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95581))
% 184.03/183.91 [9573]~P142(x95731)+~E(x95732,f317(f73(x95731),f72(x95731)))+E(f317(f317(f234(x95731),x95732),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95731))
% 184.03/183.91 [9624]~P93(x96241)+E(f317(f94(x96241),x96242),f72(x96241))+~P27(x96241,f317(f94(x96241),f317(f317(f74(a1),x96242),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.91 [10007]~P113(x100072)+E(x100071,f2(x100072))+P1(f317(f317(f225(x100072),f2(x100072)),f317(f317(f234(x100072),x100071),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.91 [10062]~P113(x100622)+~E(x100621,f2(x100622))+~P1(f317(f317(f225(x100622),f2(x100622)),f317(f317(f234(x100622),x100621),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.91 [10098]P1(f317(f317(f224(a1),x100981),f2(a1)))+P1(f317(f317(f225(a1),x100982),x100981))+E(f317(f38(x100981),f42(x100982,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100981))),f42(x100982,x100981))
% 184.03/183.91 [10099]~P1(f317(f317(f225(a1),f2(a1)),x100991))+P1(f317(f317(f225(a1),x100992),x100991))+E(f317(f38(x100991),f42(x100992,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100991))),f42(x100992,x100991))
% 184.03/183.91 [10100]P1(f317(f317(f224(a1),x101001),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x101002),x101001)))+E(f317(f38(x101001),f45(x101002,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101001))),f45(x101002,x101001))
% 184.03/183.91 [10101]~P1(f317(f317(f225(a1),f2(a1)),x101011))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x101012),x101011)))+E(f317(f38(x101011),f45(x101012,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101011))),f45(x101012,x101011))
% 184.03/183.91 [10102]~P145(x101021)+~P1(f317(f317(f224(a1),f2(a1)),x101022))+E(f317(f90(x101021),f317(a95,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101022))),f317(f317(f74(x101021),f317(f90(x101021),f317(a95,x101022))),f317(f90(x101021),f317(a95,x101022))))
% 184.03/183.91 [5118]~P147(x51181,x51182,x51183)+~E(x51183,f2(a1))+P1(f317(x51181,x51182))
% 184.03/183.91 [5242]~P107(x52421)+~P13(x52421,x52423)+P13(x52421,f160(x52421,x52422,x52423))
% 184.03/183.91 [5243]~P107(x52431)+~P13(x52431,x52433)+P13(x52431,f167(x52431,x52432,x52433))
% 184.03/183.91 [4806]~P75(x48062)+~E(x48063,f317(f73(x48062),x48061))+E(x48061,f317(f73(x48062),x48063))
% 184.03/183.91 [4808]~P75(x48081)+~E(f317(f73(x48081),x48083),x48082)+E(f317(f73(x48081),x48082),x48083)
% 184.03/183.91 [4887]~P94(x48873)+E(x48871,x48872)+~E(f317(f90(x48873),x48871),f317(f90(x48873),x48872))
% 184.03/183.91 [4888]~P107(x48883)+E(x48881,x48882)+~E(f317(f291(x48883),x48881),f317(f291(x48883),x48882))
% 184.03/183.91 [4889]~P107(x48893)+E(x48891,x48892)+~E(f317(f272(x48893),x48891),f317(f272(x48893),x48892))
% 184.03/183.91 [4890]~P75(x48903)+E(x48901,x48902)+~E(f317(f73(x48903),x48901),f317(f73(x48903),x48902))
% 184.03/183.91 [4891]~P95(x48913)+E(x48911,x48912)+~E(f317(f73(x48913),x48911),f317(f73(x48913),x48912))
% 184.03/183.91 [4892]~P91(x48923)+E(x48921,x48922)+~E(f317(f93(x48923),x48921),f317(f93(x48923),x48922))
% 184.03/183.91 [4893]~P107(x48933)+E(x48931,x48932)+~E(f317(f273(x48933),x48931),f317(f273(x48933),x48932))
% 184.03/183.91 [4894]~P107(x48943)+E(x48941,x48942)+~E(f317(f294(x48943),x48941),f317(f294(x48943),x48942))
% 184.03/183.91 [4996]~P60(x49961)+~P1(f317(x49962,x49963))+P1(f317(f51(x49961),x49962))
% 184.03/183.91 [5036]~P60(x50363)+P1(f317(x50361,x50362))+~P1(f317(f52(x50363),x50361))
% 184.03/183.91 [5138]~P148(x51381,x51383,x51382)+~E(x51382,f2(a1))+P1(f317(x51381,f2(a1)))
% 184.03/183.91 [5178]~E(x51781,f2(a899))+E(f782(x51781,x51782,x51783),f178(f906(x51783,a895)))+~E(f317(f29(x51783),x51782),f317(a102,x51781))
% 184.03/183.91 [5326]~E(x53262,f2(a899))+E(f317(f241(a899,a899),x53261),f2(a899))+~P1(f317(f43(x53263,x53262),x53261))
% 184.03/183.91 [5365]P1(f317(x53651,x53652))+~E(x53653,f317(f90(a1),x53652))+~P1(f317(x53651,f317(a95,x53653)))
% 184.03/183.91 [5848]~E(x58483,f2(a899))+~P1(f317(x58481,x58482))+P1(f317(x58481,f40(a899,x58482,x58483)))
% 184.03/183.91 [6093]~P104(x60932)+~P104(x60931)+E(f121(x60931,x60932,f122(x60931,x60933),f122(x60932,x60933)),f122(f905(x60931,x60932),x60933))
% 184.03/183.91 [6280]~E(x62803,f2(a899))+P1(f317(x62801,x62802))+~P1(f317(x62801,f40(a899,x62802,x62803)))
% 184.03/183.91 [6785]E(x67851,f178(f906(x67852,a895)))+~P1(f317(f28(x67852),x67851))+P1(f317(f56(x67852,x67853,x67851),f499(x67853,x67851,x67852)))
% 184.03/183.91 [6981]E(x69811,f2(a899))+~P1(f317(x69812,f881(x69811,x69813,x69812)))+P1(f317(x69812,f40(a899,x69813,x69811)))
% 184.03/183.91 [7095]~P5(x70951)+~P1(f317(f317(f224(x70951),x70952),f424(x70953,x70952,x70951)))+P1(f317(f317(f224(x70951),x70952),f32(x70951,x70953)))
% 184.03/183.91 [7097]~P1(f317(x70971,x70972))+~P1(f317(x70971,f881(x70973,x70972,x70971)))+P1(f317(x70971,f40(a899,x70972,x70973)))
% 184.03/183.91 [7199]E(x71991,f103(x71992))+E(f317(f317(f141(x71992),f672(x71993,x71991,x71992)),f675(x71993,x71991,x71992)),x71991)+~P1(f317(f317(f319(f900(x71992)),x71991),f151(x71992,x71993)))
% 184.03/183.91 [7230]~P141(x72301)+~P1(f317(f317(f319(x72301),x72302),f100(x72301)))+P1(f317(f317(f319(x72301),f317(f317(f234(x72301),x72302),x72303)),f100(x72301)))
% 184.03/183.91 [7554]P36(x75541,x75542)+~P1(f317(f317(f319(x75541),x75543),f586(x75542,x75541)))+P1(f317(f317(f319(x75541),f596(x75542,x75541,x75543)),f586(x75542,x75541)))
% 184.03/183.91 [7825]E(x78251,f103(x78252))+~P1(f317(f317(f319(f900(x78252)),x78251),f151(x78252,x78253)))+P1(f317(f317(f319(f900(x78252)),f675(x78253,x78251,x78252)),f151(x78252,x78253)))
% 184.03/183.91 [7877]E(x78771,f2(a899))+E(f317(f317(f74(a899),f317(f317(f75(a899),x78771),f882(x78771,x78772,x78773))),f881(x78771,x78772,x78773)),x78772)+P1(f317(x78773,f40(a899,x78772,x78771)))
% 184.03/183.91 [7920]~P1(f317(x79203,x79202))+E(f317(f317(f74(a899),f317(f317(f75(a899),x79201),f882(x79201,x79202,x79203))),f881(x79201,x79202,x79203)),x79202)+P1(f317(x79203,f40(a899,x79202,x79201)))
% 184.03/183.91 [8060]P1(f317(f317(f225(a1),x80601),f329(x80602,x80603,x80601)))+P1(f317(f317(x80603,f317(f317(f30(a1),x80602),x80601)),f40(a1,x80602,x80601)))+~P1(f317(f317(f225(a1),x80601),f2(a1)))
% 184.03/183.91 [8328]P1(f317(f317(x83282,f317(f317(f30(a1),x83281),x83283)),f40(a1,x83281,x83283)))+~P1(f317(f317(f225(a1),x83283),f2(a1)))+P1(f317(f317(f224(a1),f329(x83281,x83282,x83283)),f2(a1)))
% 184.03/183.91 [8513]E(f317(f317(f74(a1),f317(f317(f75(a1),x85131),f330(x85132,x85133,x85131))),f329(x85132,x85133,x85131)),x85132)+P1(f317(f317(x85133,f317(f317(f30(a1),x85132),x85131)),f40(a1,x85132,x85131)))+~P1(f317(f317(f225(a1),x85131),f2(a1)))
% 184.03/183.91 [8751]~P1(f317(f317(x87511,f330(x87512,x87511,x87513)),f329(x87512,x87511,x87513)))+P1(f317(f317(x87511,f317(f317(f30(a1),x87512),x87513)),f40(a1,x87512,x87513)))+~P1(f317(f317(f225(a1),x87513),f2(a1)))
% 184.03/183.91 [9001]~P107(x90011)+~P13(x90011,x90013)+P13(x90011,f139(x90011,x90011,f7(x90011),x90012,x90013))
% 184.03/183.91 [9502]~P128(x95022)+E(x95021,f2(x95022))+~P1(f317(f317(f224(x95022),f317(f317(f74(x95022),f317(f317(f75(x95022),x95023),x95023)),f317(f317(f75(x95022),x95021),x95021))),f2(x95022)))
% 184.03/183.91 [9503]~P128(x95032)+E(x95031,f2(x95032))+~P1(f317(f317(f224(x95032),f317(f317(f74(x95032),f317(f317(f75(x95032),x95031),x95031)),f317(f317(f75(x95032),x95033),x95033))),f2(x95032)))
% 184.03/183.91 [10317]~P113(x103171)+~P1(f317(f317(f225(x103171),x103172),f2(x103171)))+P1(f317(f317(f225(x103171),f317(f317(f234(x103171),x103172),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x103173)))),f2(x103171)))
% 184.03/183.91 [10326]~P113(x103262)+E(x103261,f2(x103262))+~P1(f317(f317(f224(x103262),f317(f317(f74(x103262),f317(f317(f234(x103262),x103263),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103262),x103261),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103262)))
% 184.03/183.91 [10327]~P113(x103272)+E(x103271,f2(x103272))+~P1(f317(f317(f224(x103272),f317(f317(f74(x103272),f317(f317(f234(x103272),x103271),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103272),x103273),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103272)))
% 184.03/183.91 [4842]~E(x48422,x48423)+~P67(x48421)+E(f317(f317(f3(x48421),x48422),x48423),f2(x48421))
% 184.03/183.91 [4843]~E(x48432,x48433)+~P75(x48431)+E(f317(f317(f3(x48431),x48432),x48433),f2(x48431))
% 184.03/183.91 [4856]~P143(x48561)+~E(x48563,f2(x48561))+E(f317(f317(f74(x48561),x48562),x48563),x48562)
% 184.03/183.91 [4873]~P140(x48731)+~E(x48733,f2(x48731))+E(f317(f317(f75(x48731),x48732),x48733),f2(x48731))
% 184.03/183.91 [4874]~P140(x48741)+~E(x48742,f2(x48741))+E(f317(f317(f75(x48741),x48742),x48743),f2(x48741))
% 184.03/183.91 [4896]~E(x48963,f103(x48961))+~E(x48962,f103(x48961))+E(f317(f317(f124(x48961),x48962),x48963),f103(x48961))
% 184.03/183.91 [4986]~P143(x49862)+E(x49861,f2(x49862))+~E(f317(f317(f74(x49862),x49863),x49861),x49863)
% 184.03/183.91 [4987]~P75(x49871)+~E(x49872,f317(f73(x49871),x49873))+E(f317(f317(f74(x49871),x49872),x49873),f2(x49871))
% 184.03/183.91 [4994]E(x49941,f103(x49942))+E(x49943,f2(a899))+~E(f317(f317(f165(x49942),x49943),x49941),f103(x49942))
% 184.03/183.91 [5004]~P67(x50043)+E(x50041,x50042)+~E(f317(f317(f3(x50043),x50041),x50042),f2(x50043))
% 184.03/183.91 [5005]~P75(x50053)+E(x50051,x50052)+~E(f317(f317(f3(x50053),x50051),x50052),f2(x50053))
% 184.03/183.91 [5018]~P142(x50182)+E(x50181,f2(x50182))+~E(f317(f317(f234(x50182),x50181),x50183),f2(x50182))
% 184.03/183.91 [5019]~P99(x50192)+E(x50191,f178(x50192))+~E(f317(f317(f91(x50192),x50193),x50191),f178(x50192))
% 184.03/183.91 [5020]~P99(x50202)+E(x50201,f178(x50202))+~E(f317(f317(f91(x50202),x50201),x50203),f178(x50202))
% 184.03/183.91 [5021]~P102(x50212)+E(x50211,f232(x50212))+~E(f317(f317(f92(x50212),x50213),x50211),f232(x50212))
% 184.03/183.91 [5022]~P102(x50222)+E(x50221,f232(x50222))+~E(f317(f317(f92(x50222),x50221),x50223),f232(x50222))
% 184.03/183.91 [5092]~P75(x50922)+E(x50921,f317(f73(x50922),x50923))+~E(f317(f317(f74(x50922),x50921),x50923),f2(x50922))
% 184.03/183.91 [5093]~P75(x50931)+E(f317(f73(x50931),x50932),x50933)+~E(f317(f317(f74(x50931),x50932),x50933),f2(x50931))
% 184.03/183.91 [5095]~E(x50952,x50953)+~P106(x50951)+P1(f317(f317(f224(x50951),x50952),x50953))
% 184.03/183.91 [5097]~E(x50972,x50973)+~P109(x50971)+P1(f317(f317(f224(x50971),x50972),x50973))
% 184.03/183.91 [5195]~P122(x51951)+~E(x51952,f317(f73(x51951),x51953))+E(f317(f317(f75(x51951),x51952),x51952),f317(f317(f75(x51951),x51953),x51953))
% 184.03/183.91 [5203]~P107(x52031)+~P13(x52031,x52033)+P13(x52031,f317(f317(f165(x52031),x52032),x52033))
% 184.03/183.91 [5204]~P107(x52041)+~P13(x52041,x52043)+P13(x52041,f317(f317(f128(x52041),x52042),x52043))
% 184.03/183.91 [5240]E(x52401,x52402)+E(x52403,f2(a899))+~E(f317(f317(f75(a899),x52403),x52401),f317(f317(f75(a899),x52403),x52402))
% 184.03/183.91 [5241]E(x52411,x52412)+E(x52413,f2(a899))+~E(f317(f317(f75(a899),x52411),x52413),f317(f317(f75(a899),x52412),x52413))
% 184.03/183.91 [5319]~E(x53192,x53193)+~P109(x53191)+E(f293(x53191,x53192,x53193),f317(f317(f299(x53191),x53192),f178(f906(x53191,a895))))
% 184.03/183.91 [5354]~P113(x53541)+~E(f317(f70(x53541),x53542),f317(f70(x53541),x53543))+P1(f317(f317(f277(x53541),x53542),x53543))
% 184.03/183.91 [5362]~E(x53621,x53622)+~P107(x53623)+~P1(f317(f317(f225(x53623),x53621),x53622))
% 184.03/183.91 [5363]~E(x53631,x53632)+~P109(x53633)+~P1(f317(f317(f225(x53633),x53631),x53632))
% 184.03/183.91 [5376]~P109(x53761)+E(f317(f292(x53761,x53762),x53763),f178(f906(x53761,a895)))+P1(f317(f317(f225(x53761),x53762),x53763))
% 184.03/183.91 [5425]~P109(x54251)+E(f293(x54251,x54252,x54253),f178(f906(x54251,a895)))+P1(f317(f317(f224(x54251),x54252),x54253))
% 184.03/183.91 [5426]~P109(x54261)+E(f295(x54261,x54262,x54263),f178(f906(x54261,a895)))+P1(f317(f317(f225(x54261),x54262),x54263))
% 184.03/183.91 [5427]~P109(x54271)+E(f178(f906(x54271,a895)),f293(x54271,x54272,x54273))+P1(f317(f317(f224(x54271),x54272),x54273))
% 184.03/183.91 [5428]~P109(x54281)+E(f178(f906(x54281,a895)),f295(x54281,x54282,x54283))+P1(f317(f317(f225(x54281),x54282),x54283))
% 184.03/183.91 [5436]~P107(x54361)+~E(f317(f317(f228(x54361),x54362),x54363),x54362)+P1(f317(f317(f224(x54361),x54362),x54363))
% 184.03/183.91 [5437]~P97(x54371)+~E(f317(f317(f91(x54371),x54372),x54373),x54373)+P1(f317(f317(f224(x54371),x54372),x54373))
% 184.03/183.91 [5438]~P107(x54381)+~E(f317(f317(f223(x54381),x54382),x54383),x54383)+P1(f317(f317(f224(x54381),x54382),x54383))
% 184.03/183.91 [5439]~P103(x54391)+~E(f317(f317(f92(x54391),x54392),x54393),x54392)+P1(f317(f317(f224(x54391),x54392),x54393))
% 184.03/183.91 [5458]~P107(x54581)+P13(x54581,x54582)+~P13(x54581,f317(f317(f141(x54581),x54583),x54582))
% 184.03/183.91 [5459]~P107(x54591)+P13(x54591,x54592)+~P13(x54591,f317(f317(f124(x54591),x54593),x54592))
% 184.03/183.91 [5460]~P107(x54601)+P13(x54601,x54602)+~P13(x54601,f317(f317(f124(x54601),x54602),x54603))
% 184.03/183.91 [5465]~P3(x54651)+~E(f40(x54651,x54653,x54652),f2(x54651))+P1(f317(f317(f277(x54651),x54652),x54653))
% 184.03/183.91 [5527]~P107(x55271)+P1(f317(f317(f224(x55271),x55273),x55272))+P1(f317(f317(f224(x55271),x55272),x55273))
% 184.03/183.91 [5532]~P107(x55321)+P1(f317(f317(f225(x55321),x55323),x55322))+P1(f317(f317(f224(x55321),x55322),x55323))
% 184.03/183.91 [5569]~P107(x55691)+E(f317(f317(f228(x55691),x55692),x55693),x55693)+~P1(f317(f317(f224(x55691),x55693),x55692))
% 184.03/183.91 [5571]~P107(x55711)+E(f317(f317(f228(x55711),x55712),x55713),x55712)+~P1(f317(f317(f224(x55711),x55712),x55713))
% 184.03/183.91 [5572]~P97(x55721)+E(f317(f317(f91(x55721),x55722),x55723),x55722)+~P1(f317(f317(f224(x55721),x55723),x55722))
% 184.03/183.91 [5574]~P97(x55741)+E(f317(f317(f91(x55741),x55742),x55743),x55743)+~P1(f317(f317(f224(x55741),x55742),x55743))
% 184.03/183.91 [5575]~P107(x55751)+E(f317(f317(f223(x55751),x55752),x55753),x55752)+~P1(f317(f317(f224(x55751),x55753),x55752))
% 184.03/183.91 [5577]~P107(x55771)+E(f317(f317(f223(x55771),x55772),x55773),x55773)+~P1(f317(f317(f224(x55771),x55772),x55773))
% 184.03/183.91 [5578]~P103(x55781)+E(f317(f317(f92(x55781),x55782),x55783),x55783)+~P1(f317(f317(f224(x55781),x55783),x55782))
% 184.03/183.91 [5580]~P103(x55801)+E(f317(f317(f92(x55801),x55802),x55803),x55802)+~P1(f317(f317(f224(x55801),x55802),x55803))
% 184.03/183.91 [5587]~P124(x55872)+E(x55871,f2(x55872))+E(f317(f317(f281(x55872),f317(f73(x55872),x55873)),f317(f73(x55872),x55871)),f317(f317(f281(x55872),x55873),x55871))
% 184.03/183.91 [5594]~P3(x55941)+E(f40(x55941,x55942,x55943),f2(x55941))+~P1(f317(f317(f277(x55941),x55943),x55942))
% 184.03/183.91 [5640]~P109(x56401)+E(f317(f292(x56401,x56402),x56403),f178(f906(x56401,a895)))+~P1(f317(f317(f224(x56401),x56403),x56402))
% 184.03/183.91 [5673]~P109(x56731)+E(f296(x56731,x56732,x56733),f178(f906(x56731,a895)))+~P1(f317(f317(f224(x56731),x56733),x56732))
% 184.03/183.91 [5674]~P109(x56741)+E(f293(x56741,x56742,x56743),f178(f906(x56741,a895)))+~P1(f317(f317(f225(x56741),x56743),x56742))
% 184.03/183.91 [5675]~P109(x56751)+E(f295(x56751,x56752,x56753),f178(f906(x56751,a895)))+~P1(f317(f317(f224(x56751),x56753),x56752))
% 184.03/183.91 [5727]~E(f317(f317(f3(a899),x57271),x57273),x57272)+E(x57271,f317(f317(f74(a899),x57272),x57273))+~P1(f317(f317(f224(a899),x57273),x57271))
% 184.03/183.91 [5728]~E(x57281,f317(f317(f74(a899),x57283),x57282))+E(f317(f317(f3(a899),x57281),x57282),x57283)+~P1(f317(f317(f224(a899),x57282),x57281))
% 184.03/183.91 [5773]~P1(f317(x57731,x57733))+P1(f317(x57731,f334(x57731,x57732)))+~P1(f317(f317(f224(a899),x57733),x57732))
% 184.03/183.91 [5774]~P1(f317(x57741,x57743))+P1(f317(x57741,f375(x57741,x57742)))+~P1(f317(f317(f225(a899),x57743),x57742))
% 184.03/183.91 [5782]~P109(x57821)+~E(f317(f292(x57821,x57822),x57823),f178(f906(x57821,a895)))+~P1(f317(f317(f225(x57821),x57822),x57823))
% 184.03/183.91 [5787]~P106(x57871)+~P1(f317(f317(f225(x57871),x57872),x57873))+P1(f317(f317(f224(x57871),x57872),x57873))
% 184.03/183.91 [5789]~P109(x57891)+~P1(f317(f317(f225(x57891),x57892),x57893))+P1(f317(f317(f224(x57891),x57892),x57893))
% 184.03/183.91 [5907]~P109(x59071)+~E(f293(x59071,x59072,x59073),f178(f906(x59071,a895)))+~P1(f317(f317(f224(x59071),x59072),x59073))
% 184.03/183.91 [5908]~P109(x59081)+~E(f295(x59081,x59082,x59083),f178(f906(x59081,a895)))+~P1(f317(f317(f225(x59081),x59082),x59083))
% 184.03/183.91 [5909]~P109(x59091)+~E(f178(f906(x59091,a895)),f293(x59091,x59092,x59093))+~P1(f317(f317(f224(x59091),x59092),x59093))
% 184.03/183.91 [5910]~P109(x59101)+~E(f178(f906(x59101,a895)),f295(x59101,x59102,x59103))+~P1(f317(f317(f225(x59101),x59102),x59103))
% 184.03/183.91 [5920]P1(f317(x59201,x59202))+~P1(f317(x59201,f351(x59201,x59203)))+~P1(f317(f317(f224(a899),x59202),x59203))
% 184.03/183.91 [5921]P1(f317(x59211,x59212))+~P1(f317(x59211,f376(x59211,x59213)))+~P1(f317(f317(f225(a899),x59212),x59213))
% 184.03/183.91 [5929]~E(x59291,f317(a102,x59293))+P1(f317(f317(f225(a899),x59291),f317(a102,x59292)))+~P1(f317(f317(f225(a899),x59293),x59292))
% 184.03/183.91 [5948]E(x59481,x59482)+~E(f317(f317(f75(a899),x59483),x59481),f317(f317(f75(a899),x59483),x59482))+~P1(f317(f317(f225(a899),f2(a899)),x59483))
% 184.03/183.91 [6009]E(f317(x60091,f732(x60091,x60092,x60093)),f72(a899))+~E(f317(f317(f8(x60093,a899),x60091),x60092),f72(a899))+~P1(f317(f28(x60093),x60092))
% 184.03/183.91 [6026]~P5(x60261)+P1(f317(f317(f224(x60261),x60262),f31(x60261,x60263)))+~P1(f317(f317(f319(x60261),x60262),x60263))
% 184.03/183.91 [6049]~P106(x60491)+~P1(f317(f317(f225(x60491),x60493),x60492))+~P1(f317(f317(f224(x60491),x60492),x60493))
% 184.03/183.91 [6053]~P106(x60531)+~P1(f317(f317(f225(x60531),x60533),x60532))+~P1(f317(f317(f225(x60531),x60532),x60533))
% 184.03/183.91 [6056]~P107(x60561)+~P1(f317(f317(f225(x60561),x60563),x60562))+~P1(f317(f317(f224(x60561),x60562),x60563))
% 184.03/183.91 [6057]~P107(x60571)+~P1(f317(f317(f225(x60571),x60573),x60572))+~P1(f317(f317(f225(x60571),x60572),x60573))
% 184.03/183.91 [6058]~P109(x60581)+~P1(f317(f317(f225(x60581),x60583),x60582))+~P1(f317(f317(f225(x60581),x60582),x60583))
% 184.03/183.91 [6078]~E(x60782,x60783)+~E(x60781,x60782)+E(f280(a899,f277(a899),x60781,x60782),f317(f317(f299(a899),x60783),f178(f906(a899,a895))))
% 184.03/183.91 [6085]~E(f317(x60852,f710(x60852,x60853,x60851)),f2(a899))+E(f317(f317(f8(x60851,a899),x60852),x60853),f2(a899))+~P1(f317(f28(x60851),x60853))
% 184.03/183.91 [6086]~E(f317(x60862,f587(x60862,x60863,x60861)),f72(a899))+E(f317(f317(f11(x60861,a899),x60862),x60863),f72(a899))+~P1(f317(f28(x60861),x60863))
% 184.03/183.91 [6102]~P108(x61021)+~P1(f317(f317(f224(x61021),x61023),x61022))+P1(f317(f317(f319(x61021),x61022),f317(f273(x61021),x61023)))
% 184.03/183.91 [6103]~P108(x61031)+~P1(f317(f317(f225(x61031),x61033),x61032))+P1(f317(f317(f319(x61031),x61032),f317(f294(x61031),x61033)))
% 184.03/183.91 [6104]~P108(x61041)+~P1(f317(f317(f224(x61041),x61042),x61043))+P1(f317(f317(f319(x61041),x61042),f317(f291(x61041),x61043)))
% 184.03/183.91 [6105]~P108(x61051)+~P1(f317(f317(f225(x61051),x61052),x61053))+P1(f317(f317(f319(x61051),x61052),f317(f272(x61051),x61053)))
% 184.03/183.91 [6106]~P113(x61061)+~P1(f317(f317(f277(x61061),x61062),x61063))+P1(f317(f317(f277(x61061),x61062),f317(f70(x61061),x61063)))
% 184.03/183.91 [6107]~P118(x61071)+~P1(f317(f317(f277(x61071),x61072),x61073))+P1(f317(f317(f277(x61071),x61072),f317(f73(x61071),x61073)))
% 184.03/183.91 [6119]E(f317(x61191,f656(x61191,x61192,x61193)),f317(a102,f2(a899)))+~E(f317(f317(f8(x61193,a899),x61191),x61192),f317(a102,f2(a899)))+~P1(f317(f28(x61193),x61192))
% 184.03/183.91 [6202]~P5(x62021)+~P1(f317(f317(f319(x62021),x62023),x62022))+P1(f317(f317(f224(x62021),f32(x62021,x62022)),x62023))
% 184.03/183.91 [6223]~P1(f317(f317(f224(a899),x62231),x62233))+P1(f317(f317(f224(a899),x62231),x62232))+~P1(f317(f317(f224(a899),x62233),x62232))
% 184.03/183.91 [6224]~P1(f317(f317(f224(a1),x62241),x62243))+P1(f317(f317(f224(a1),x62241),x62242))+~P1(f317(f317(f224(a1),x62243),x62242))
% 184.03/183.91 [6225]~P1(f317(f317(f277(a899),x62251),x62253))+P1(f317(f317(f277(a899),x62251),x62252))+~P1(f317(f317(f277(a899),x62253),x62252))
% 184.03/183.91 [6245]~P108(x62451)+~P1(f317(f317(f319(x62451),x62453),f317(f273(x62451),x62452)))+P1(f317(f317(f224(x62451),x62452),x62453))
% 184.03/183.91 [6246]~P108(x62461)+~P1(f317(f317(f319(x62461),x62462),f317(f291(x62461),x62463)))+P1(f317(f317(f224(x62461),x62462),x62463))
% 184.03/183.91 [6247]~P108(x62471)+~P1(f317(f317(f319(x62471),x62473),f317(f294(x62471),x62472)))+P1(f317(f317(f225(x62471),x62472),x62473))
% 184.03/183.91 [6248]~P108(x62481)+~P1(f317(f317(f319(x62481),x62482),f317(f272(x62481),x62483)))+P1(f317(f317(f225(x62481),x62482),x62483))
% 184.03/183.91 [6249]~P113(x62491)+~P1(f317(f317(f277(x62491),x62492),f317(f70(x62491),x62493)))+P1(f317(f317(f277(x62491),x62492),x62493))
% 184.03/183.91 [6250]~P118(x62501)+~P1(f317(f317(f277(x62501),x62502),f317(f73(x62501),x62503)))+P1(f317(f317(f277(x62501),x62502),x62503))
% 184.03/183.91 [6324]~P1(f317(x63241,x63242))+P1(f317(x63241,f768(x63241)))+~P1(f317(f317(f319(x63243),x63242),f232(f906(x63243,a895))))
% 184.03/183.91 [6472]~P63(x64721)+P1(f317(f317(f225(x64721),f2(x64721)),f839(x64723,x64722,x64721)))+P1(f317(f317(f224(x64721),x64722),x64723))
% 184.03/183.91 [6473]~P64(x64731)+P1(f317(f317(f225(x64731),f2(x64731)),f855(x64733,x64732,x64731)))+P1(f317(f317(f224(x64731),x64732),x64733))
% 184.03/183.91 [6542]~P78(x65421)+~P1(f317(f317(f224(x65421),x65423),f317(f73(x65421),x65422)))+P1(f317(f317(f224(x65421),x65422),f317(f73(x65421),x65423)))
% 184.03/183.91 [6544]~P78(x65441)+~P1(f317(f317(f225(x65441),x65443),f317(f73(x65441),x65442)))+P1(f317(f317(f225(x65441),x65442),f317(f73(x65441),x65443)))
% 184.03/183.91 [6556]~P1(f317(f317(f225(a899),x65561),x65563))+~P1(f317(f317(f225(a899),x65563),x65562))+P1(f317(f317(f225(a899),f317(a102,x65561)),x65562))
% 184.03/183.91 [6587]~P112(x65871)+P1(f317(f317(f224(x65871),f317(f90(x65871),x65872)),f317(f90(x65871),x65873)))+~P1(f317(f317(f224(a899),x65872),x65873))
% 184.03/183.91 [6588]~P113(x65881)+P1(f317(f317(f224(x65881),f317(f93(x65881),x65882)),f317(f93(x65881),x65883)))+~P1(f317(f317(f224(a1),x65882),x65883))
% 184.03/183.91 [6590]~P113(x65901)+P1(f317(f317(f225(x65901),f317(f93(x65901),x65902)),f317(f93(x65901),x65903)))+~P1(f317(f317(f225(a1),x65902),x65903))
% 184.03/183.91 [6591]~P112(x65911)+P1(f317(f317(f225(x65911),f317(f90(x65911),x65912)),f317(f90(x65911),x65913)))+~P1(f317(f317(f225(a899),x65912),x65913))
% 184.03/183.91 [6597]~P107(x65971)+E(f317(f317(f91(f906(x65971,a895)),f317(f272(x65971),x65972)),f317(f292(x65971,x65972),x65973)),f317(f272(x65971),x65973))+~P1(f317(f317(f224(x65971),x65972),x65973))
% 184.03/183.91 [6627]~P78(x66271)+~P1(f317(f317(f224(x66271),x66273),x66272))+P1(f317(f317(f224(x66271),f317(f73(x66271),x66272)),f317(f73(x66271),x66273)))
% 184.03/183.91 [6629]~P95(x66291)+~P1(f317(f317(f224(x66291),x66293),x66292))+P1(f317(f317(f224(x66291),f317(f73(x66291),x66292)),f317(f73(x66291),x66293)))
% 184.03/183.91 [6630]~P78(x66301)+~P1(f317(f317(f225(x66301),x66303),x66302))+P1(f317(f317(f225(x66301),f317(f73(x66301),x66302)),f317(f73(x66301),x66303)))
% 184.03/183.91 [6666]~P107(x66661)+E(f317(f317(f91(f906(x66661,a895)),f317(f291(x66661),x66662)),f296(x66661,x66662,x66663)),f317(f272(x66661),x66663))+~P1(f317(f317(f225(x66661),x66662),x66663))
% 184.03/183.91 [6667]~P107(x66671)+E(f317(f317(f91(f906(x66671,a895)),f317(f291(x66671),x66672)),f295(x66671,x66672,x66673)),f317(f291(x66671),x66673))+~P1(f317(f317(f224(x66671),x66672),x66673))
% 184.03/183.91 [6668]~P107(x66681)+E(f317(f317(f91(f906(x66681,a895)),f317(f272(x66681),x66682)),f293(x66681,x66682,x66683)),f317(f291(x66681),x66683))+~P1(f317(f317(f224(x66681),x66682),x66683))
% 184.03/183.91 [6702]~P107(x67021)+E(f317(f317(f91(f906(x67021,a895)),f317(f292(x67021,x67022),x67023)),f317(f273(x67021),x67023)),f317(f273(x67021),x67022))+~P1(f317(f317(f224(x67021),x67022),x67023))
% 184.03/183.91 [6864]~P107(x68641)+E(f317(f317(f91(f906(x68641,a895)),f296(x68641,x68642,x68643)),f317(f273(x68641),x68643)),f317(f294(x68641),x68642))+~P1(f317(f317(f225(x68641),x68642),x68643))
% 184.03/183.91 [6865]~P107(x68651)+E(f317(f317(f91(f906(x68651,a895)),f293(x68651,x68652,x68653)),f317(f294(x68651),x68653)),f317(f273(x68651),x68652))+~P1(f317(f317(f224(x68651),x68652),x68653))
% 184.03/183.91 [6866]~P107(x68661)+E(f317(f317(f91(f906(x68661,a895)),f295(x68661,x68662,x68663)),f317(f294(x68661),x68663)),f317(f294(x68661),x68662))+~P1(f317(f317(f224(x68661),x68662),x68663))
% 184.03/183.91 [6885]P1(f317(x68851,x68852))+~P1(f317(f317(f224(a899),x68852),x68853))+P1(f317(f317(f319(a899),f351(x68851,x68853)),f293(a899,f2(a899),x68853)))
% 184.03/183.91 [6919]E(x69191,x69192)+~E(f317(f317(f154(x69193),x69191),f606(x69193,x69192,x69191)),f317(f317(f154(x69193),x69192),f606(x69193,x69192,x69191)))+~E(f317(f179(f900(x69193)),x69191),f317(f179(f900(x69193)),x69192))
% 184.03/183.91 [6924]~E(x69243,f317(f317(f30(a899),x69241),x69242))+~P1(f317(f317(f225(a899),f2(a899)),x69242))+P1(f317(f317(f225(a899),x69241),f317(f317(f75(a899),x69242),f317(a102,x69243))))
% 184.03/183.91 [6940]~P1(f317(x69401,x69403))+~P1(f317(f317(f224(a899),x69403),x69402))+P1(f317(f317(f319(a899),f334(x69401,x69402)),f293(a899,f2(a899),x69402)))
% 184.03/183.91 [6979]~P1(f317(x69791,x69793))+P1(f317(x69791,f352(x69791,x69792)))+~P1(f317(f317(f319(a899),x69793),f293(a899,f2(a899),x69792)))
% 184.03/183.91 [7000]~P112(x70003)+~P1(f317(f317(f224(x70003),f317(f90(x70003),x70001)),f317(f90(x70003),x70002)))+P1(f317(f317(f224(a899),x70001),x70002))
% 184.03/183.91 [7001]~P113(x70013)+~P1(f317(f317(f224(x70013),f317(f93(x70013),x70011)),f317(f93(x70013),x70012)))+P1(f317(f317(f224(a1),x70011),x70012))
% 184.03/183.91 [7003]~P112(x70033)+~P1(f317(f317(f225(x70033),f317(f90(x70033),x70031)),f317(f90(x70033),x70032)))+P1(f317(f317(f225(a899),x70031),x70032))
% 184.03/183.91 [7004]~P113(x70043)+~P1(f317(f317(f225(x70043),f317(f93(x70043),x70041)),f317(f93(x70043),x70042)))+P1(f317(f317(f225(a1),x70041),x70042))
% 184.03/183.91 [7021]~P112(x70211)+~P1(f317(f317(f225(x70211),f72(x70211)),x70212))+P1(f317(f317(f225(x70211),f72(x70211)),f317(f317(f234(x70211),x70212),f317(a102,x70213))))
% 184.03/183.91 [7024]~P78(x70241)+~P1(f317(f317(f224(x70241),f317(f73(x70241),x70243)),f317(f73(x70241),x70242)))+P1(f317(f317(f224(x70241),x70242),x70243))
% 184.03/183.91 [7025]~P95(x70251)+~P1(f317(f317(f224(x70251),f317(f73(x70251),x70253)),f317(f73(x70251),x70252)))+P1(f317(f317(f224(x70251),x70252),x70253))
% 184.03/183.91 [7026]~P78(x70261)+~P1(f317(f317(f225(x70261),f317(f73(x70261),x70263)),f317(f73(x70261),x70262)))+P1(f317(f317(f225(x70261),x70262),x70263))
% 184.03/183.91 [7050]P1(f317(x70501,x70502))+~P1(f317(x70501,f353(x70501,x70503)))+~P1(f317(f317(f319(a899),x70502),f293(a899,f2(a899),x70503)))
% 184.03/183.91 [7072]~P63(x70721)+P1(f317(f317(f225(x70721),f839(x70723,x70722,x70721)),f72(x70721)))+P1(f317(f317(f224(x70721),x70722),x70723))
% 184.03/183.91 [7092]~E(f40(a899,x70923,x70922),f40(a899,x70921,x70922))+E(f317(f317(f74(a899),x70921),f317(f317(f75(a899),x70922),f354(x70921,x70922,x70923))),x70923)+~P1(f317(f317(f224(a899),x70921),x70923))
% 184.03/183.91 [7147]E(f317(f317(f8(x71471,a899),x71472),x71473),f2(a899))+~P1(f317(f28(x71471),x71473))+P1(f317(f317(f319(x71471),f710(x71472,x71473,x71471)),x71473))
% 184.03/183.91 [7148]E(f317(f317(f11(x71481,a899),x71482),x71483),f72(a899))+~P1(f317(f28(x71481),x71483))+P1(f317(f317(f319(x71481),f587(x71482,x71483,x71481)),x71483))
% 184.03/183.91 [7170]~P109(x71701)+~P1(f317(f317(f224(x71701),x71702),x71703))+P1(f317(f317(f224(f906(x71701,a895)),f317(f291(x71701),x71702)),f317(f291(x71701),x71703)))
% 184.03/183.91 [7171]~P107(x71711)+~P1(f317(f317(f224(x71711),x71712),x71713))+P1(f317(f317(f224(f906(x71711,a895)),f317(f272(x71711),x71712)),f317(f272(x71711),x71713)))
% 184.03/183.91 [7172]~P109(x71721)+~P1(f317(f317(f224(x71721),x71723),x71722))+P1(f317(f317(f224(f906(x71721,a895)),f317(f273(x71721),x71722)),f317(f273(x71721),x71723)))
% 184.03/183.91 [7173]~P107(x71731)+~P1(f317(f317(f224(x71731),x71733),x71732))+P1(f317(f317(f224(f906(x71731,a895)),f317(f294(x71731),x71732)),f317(f294(x71731),x71733)))
% 184.03/183.91 [7174]~P107(x71741)+~P1(f317(f317(f225(x71741),x71742),x71743))+P1(f317(f317(f225(f906(x71741,a895)),f317(f272(x71741),x71742)),f317(f272(x71741),x71743)))
% 184.03/183.91 [7185]~P5(x71851)+P1(f317(f317(f224(x71851),x71852),f32(x71851,x71853)))+P1(f317(f317(f319(x71851),f424(x71853,x71852,x71851)),x71853))
% 184.03/183.91 [7191]~P78(x71911)+P1(f317(f317(f224(x71911),f317(f317(f3(x71911),x71912),x71913)),f2(x71911)))+~P1(f317(f317(f224(x71911),x71912),x71913))
% 184.03/183.91 [7192]~P78(x71921)+P1(f317(f317(f225(x71921),f317(f317(f3(x71921),x71922),x71923)),f2(x71921)))+~P1(f317(f317(f225(x71921),x71922),x71923))
% 184.03/183.91 [7234]P1(f317(x72341,x72342))+P1(f317(f317(f224(a899),f353(x72341,x72343)),x72343))+~P1(f317(f317(f319(a899),x72342),f293(a899,f2(a899),x72343)))
% 184.03/183.91 [7276]~E(f317(f317(f8(x72761,a899),x72762),x72763),f72(a899))+~P1(f317(f28(x72761),x72763))+P1(f317(f317(f319(x72761),f732(x72762,x72763,x72761)),x72763))
% 184.03/183.91 [7277]~P1(f317(x72771,x72773))+P1(f317(f317(f224(a899),f352(x72771,x72772)),x72772))+~P1(f317(f317(f319(a899),x72773),f293(a899,f2(a899),x72772)))
% 184.03/183.91 [7315]~P5(x73151)+P1(f317(f317(f319(x73151),f383(x73153,x73152,x73151)),x73152))+P1(f317(f317(f224(x73151),f31(x73151,x73152)),x73153))
% 184.03/183.91 [7349]~E(f317(f317(f8(x73491,a899),x73492),x73493),f317(a102,f2(a899)))+~P1(f317(f28(x73491),x73493))+P1(f317(f317(f319(x73491),f656(x73492,x73493,x73491)),x73493))
% 184.03/183.91 [7360]E(x73601,f2(a899))+P1(f317(x73602,f40(a899,x73603,x73601)))+P1(f317(f317(f225(a899),f881(x73601,x73603,x73602)),x73601))
% 184.03/183.91 [7472]~P1(f317(x74721,x74722))+P1(f317(x74721,f40(a899,x74722,x74723)))+P1(f317(f317(f225(a899),f881(x74723,x74722,x74721)),x74723))
% 184.03/183.91 [7585]E(x75851,f103(x75852))+~P1(f317(f317(f319(f900(x75852)),x75851),f151(x75852,x75853)))+P1(f317(f317(f319(x75852),f672(x75853,x75851,x75852)),x75853))
% 184.03/183.91 [7608]~P107(x76081)+E(f317(f317(f91(f906(x76081,a895)),f317(f317(f299(x76081),x76082),f178(f906(x76081,a895)))),f296(x76081,x76082,x76083)),f317(f292(x76081,x76082),x76083))+~P1(f317(f317(f225(x76081),x76082),x76083))
% 184.03/183.91 [7631]~P107(x76311)+E(f317(f317(f91(f906(x76311,a895)),f317(f317(f299(x76311),x76312),f178(f906(x76311,a895)))),f295(x76311,x76312,x76313)),f293(x76311,x76312,x76313))+~P1(f317(f317(f224(x76311),x76312),x76313))
% 184.03/183.91 [7742]~P107(x77421)+P1(f317(f317(f224(x77421),x77422),x77423))+~P1(f317(f317(f224(f906(x77421,a895)),f317(f294(x77421),x77423)),f317(f294(x77421),x77422)))
% 184.03/183.91 [7743]~P109(x77431)+P1(f317(f317(f224(x77431),x77432),x77433))+~P1(f317(f317(f224(f906(x77431,a895)),f317(f273(x77431),x77433)),f317(f273(x77431),x77432)))
% 184.03/183.91 [7744]~P107(x77441)+P1(f317(f317(f224(x77441),x77442),x77443))+~P1(f317(f317(f224(f906(x77441,a895)),f317(f272(x77441),x77442)),f317(f272(x77441),x77443)))
% 184.03/183.91 [7745]~P109(x77451)+P1(f317(f317(f224(x77451),x77452),x77453))+~P1(f317(f317(f224(f906(x77451,a895)),f317(f291(x77451),x77452)),f317(f291(x77451),x77453)))
% 184.03/183.91 [7746]~P107(x77461)+P1(f317(f317(f225(x77461),x77462),x77463))+~P1(f317(f317(f225(f906(x77461,a895)),f317(f272(x77461),x77462)),f317(f272(x77461),x77463)))
% 184.03/183.91 [7769]~P78(x77691)+~P1(f317(f317(f224(x77691),f317(f317(f3(x77691),x77692),x77693)),f2(x77691)))+P1(f317(f317(f224(x77691),x77692),x77693))
% 184.03/183.91 [7770]~P78(x77701)+~P1(f317(f317(f225(x77701),f317(f317(f3(x77701),x77702),x77703)),f2(x77701)))+P1(f317(f317(f225(x77701),x77702),x77703))
% 184.03/183.91 [7927]E(x79271,f2(a899))+~E(f317(f132(a899,a899,f74(a899),x79272),x79273),f2(a899))+~P1(f317(f317(f319(a899),x79271),f317(f162(a899),x79273)))
% 184.03/183.91 [7931]~P5(x79311)+~P1(f317(f317(f224(x79311),f383(x79313,x79312,x79311)),x79313))+P1(f317(f317(f224(x79311),f31(x79311,x79312)),x79313))
% 184.03/183.91 [8085]P1(f317(f317(f224(a1),f2(a1)),f890(x80851,x80852,x80853)))+P1(f317(f317(x80852,f317(f317(f30(a1),x80851),x80853)),f40(a1,x80851,x80853)))+~P1(f317(f317(f225(a1),f2(a1)),x80853))
% 184.03/183.91 [8173]E(x81731,x81732)+~E(f317(f179(f900(x81733)),x81731),f317(f179(f900(x81733)),x81732))+~P1(f317(f317(f247(x81733,x81733,a895),a314),f645(x81733,x81731,x81732)))
% 184.03/183.91 [8244]~P36(x82442,x82443)+E(x82441,f178(f906(x82442,a895)))+~P1(f317(f317(f224(f906(x82442,a895)),x82441),f317(f275(x82442,x82442,x82443),x82441)))
% 184.03/183.91 [8275]~P64(x82751)+~P1(f317(f317(f224(x82751),x82752),f317(f317(f74(x82751),x82753),f855(x82753,x82752,x82751))))+P1(f317(f317(f224(x82751),x82752),x82753))
% 184.03/183.91 [8310]P52(x83101,x83102,x83103)+P1(f317(f317(f319(x83101),f559(x83103,x83102,x83101)),x83102))+P1(f317(f317(f319(f905(x83101,x83101)),f560(x83103,x83102,x83101)),x83103))
% 184.03/183.91 [8331]P1(f317(f317(x83312,f317(f317(f30(a1),x83311),x83313)),f40(a1,x83311,x83313)))+~P1(f317(f317(f225(a1),f2(a1)),x83313))+P1(f317(f317(f225(a1),f890(x83311,x83312,x83313)),x83313))
% 184.03/183.91 [8356]E(f317(f300(a899,a899,f317(f317(f9(a899,a899,a899),f3(a899)),x83561)),f317(f292(a899,x83562),x83563)),f178(f906(a899,a895)))+P1(f317(f317(f225(a899),x83561),x83563))+P1(f317(f317(f225(a899),x83562),x83563))
% 184.03/183.91 [8467]E(f317(f300(a899,a899,f317(f317(f9(a899,a899,a899),f3(a899)),x84671)),f317(f292(a899,x84672),x84673)),f317(f317(f299(a899),f2(a899)),f178(f906(a899,a895))))+P1(f317(f317(f225(a899),x84671),x84673))+~P1(f317(f317(f225(a899),x84672),x84673))
% 184.03/183.91 [8481]~P107(x84811)+E(f139(x84811,x84811,f7(x84811),x84812,x84813),x84813)+~P1(f317(f317(f319(x84811),x84812),f317(f162(x84811),x84813)))
% 184.03/183.91 [8494]P24(x84941,x84941,x84942,x84943)+~P1(f317(f28(x84941),x84943))+~P1(f317(f317(f224(f906(x84941,a895)),x84943),f317(f300(x84941,x84941,x84942),x84943)))
% 184.03/183.91 [8521]E(f317(f317(f74(a1),f317(f317(f75(a1),x85211),f891(x85212,x85213,x85211))),f890(x85212,x85213,x85211)),x85212)+P1(f317(f317(x85213,f317(f317(f30(a1),x85212),x85211)),f40(a1,x85212,x85211)))+~P1(f317(f317(f225(a1),f2(a1)),x85211))
% 184.03/183.91 [8758]~P1(f317(f317(x87581,f891(x87582,x87581,x87583)),f890(x87582,x87581,x87583)))+P1(f317(f317(x87581,f317(f317(f30(a1),x87582),x87583)),f40(a1,x87582,x87583)))+~P1(f317(f317(f225(a1),f2(a1)),x87583))
% 184.03/183.91 [9656]~P1(f317(f28(x96561),x96562))+~P1(f317(f317(f319(x96561),x96563),x96562))+P1(f317(f317(f225(a899),f317(f29(x96561),f317(f317(f3(f906(x96561,a895)),x96562),f317(f317(f299(x96561),x96563),f178(f906(x96561,a895)))))),f317(f29(x96561),x96562)))
% 184.03/183.91 [10257]P52(x102571,x102572,x102573)+~P1(f317(f317(f247(x102571,x102571,a895),f317(f317(f9(x102571,f906(x102571,a895),f906(x102571,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x102571,a895),f906(x102571,a895)),x102571),f10(a895,a895,x102571)),f317(f317(f10(a895,f906(a895,a895),x102571),a315),f317(f317(f9(x102571,f906(x102571,a895),a895),f319(x102571)),x102572)))),f317(f317(f9(x102571,f906(x102571,a895),a895),f319(x102571)),x102572))),f560(x102573,x102572,x102571)))+P1(f317(f317(f319(x102571),f559(x102573,x102572,x102571)),x102572))
% 184.03/183.91 [5549]~P124(x55492)+E(x55491,f2(x55492))+E(f317(f317(f281(x55492),x55493),f317(f73(x55492),x55491)),f317(f73(x55492),f317(f317(f281(x55492),x55493),x55491)))
% 184.03/183.91 [5689]~E(x56893,f178(f906(x56891,a895)))+~E(x56892,f178(f906(x56891,a895)))+E(f317(f317(f91(f906(x56891,a895)),x56892),x56893),f178(f906(x56891,a895)))
% 184.03/183.91 [5747]~E(x57473,f2(a899))+~P1(f317(x57471,f2(a899)))+P1(f317(x57471,f317(f317(f30(a899),x57472),x57473)))
% 184.03/183.91 [5899]~P64(x58992)+E(x58991,f2(x58992))+E(f317(f317(f281(x58992),f317(f70(x58992),x58993)),f317(f70(x58992),x58991)),f317(f70(x58992),f317(f317(f281(x58992),x58993),x58991)))
% 184.03/183.91 [5998]~P120(x59981)+~E(x59982,f72(x59981))+P1(f317(f317(f277(x59981),x59982),f317(f317(f234(x59981),x59982),x59983)))
% 184.03/183.91 [6019]~P3(x60191)+E(f317(f317(f75(x60191),x60192),f317(f317(f30(x60191),x60193),x60192)),x60193)+~P1(f317(f317(f277(x60191),x60192),x60193))
% 184.03/183.91 [6074]~P1(f317(f28(x60741),x60743))+E(f317(f29(x60741),f317(f317(f299(x60741),x60742),x60743)),f317(a102,f317(f29(x60741),x60743)))+P1(f317(f317(f319(x60741),x60742),x60743))
% 184.03/183.91 [6151]~E(x61512,f2(a899))+P1(f317(x61511,f2(a899)))+~P1(f317(x61511,f317(f317(f30(a899),x61513),x61512)))
% 184.03/183.91 [6168]~P1(f317(f28(x61681),x61683))+E(f317(f29(x61681),f317(f317(f299(x61681),x61682),x61683)),f317(f29(x61681),x61683))+~P1(f317(f317(f319(x61681),x61682),x61683))
% 184.03/183.91 [6204]~P1(f317(f28(x62041),x62043))+E(f317(f29(x62041),f317(f317(f299(x62041),x62042),x62043)),f317(f317(f74(a899),f72(a899)),f317(f29(x62041),x62043)))+P1(f317(f317(f319(x62041),x62042),x62043))
% 184.03/183.91 [6211]~P4(x62111)+E(f317(f317(f30(x62111),x62112),f317(f73(x62111),x62113)),f317(f73(x62111),f317(f317(f30(x62111),x62112),x62113)))+~P1(f317(f317(f277(x62111),x62113),x62112))
% 184.03/183.91 [6325]E(f317(f317(f74(a899),x63251),f722(x63251,x63252,x63253)),x63252)+~P1(f317(x63253,f2(a899)))+P1(f317(x63253,f317(f317(f3(a899),x63252),x63251)))
% 184.03/183.91 [6326]E(f317(f317(f74(a899),x63261),f734(x63261,x63262,x63263)),x63262)+~P1(f317(x63263,f2(a899)))+P1(f317(x63263,f317(f317(f3(a899),x63262),x63261)))
% 184.03/183.91 [6351]~P4(x63511)+E(f317(f317(f30(x63511),f317(f73(x63511),x63512)),x63513),f317(f73(x63511),f317(f317(f30(x63511),x63512),x63513)))+~P1(f317(f317(f277(x63511),x63513),x63512))
% 184.03/183.91 [6375]~P5(x63751)+~P1(f317(f28(x63751),x63753))+E(f317(f317(f58(x63751,x63751,f91(x63751)),x63752),x63753),f317(f317(f91(x63751),x63752),f31(x63751,x63753)))
% 184.03/183.91 [6376]~P5(x63761)+~P1(f317(f28(x63761),x63763))+E(f317(f317(f58(x63761,x63761,f92(x63761)),x63762),x63763),f317(f317(f92(x63761),x63762),f32(x63761,x63763)))
% 184.03/183.91 [6382]~P93(x63821)+~E(f317(f94(x63821),x63822),f317(f94(x63821),x63823))+P27(x63821,f317(f94(x63821),f317(f317(f74(a1),x63822),f317(f73(a1),x63823))))
% 184.03/183.91 [6392]~P141(x63921)+E(f317(f317(f3(x63921),f317(f90(x63921),x63922)),f317(f90(x63921),x63923)),f317(f90(x63921),f317(f317(f3(a899),x63922),x63923)))+~P1(f317(f317(f224(a899),x63923),x63922))
% 184.03/183.91 [6399]~P113(x63991)+~P1(f317(f317(f277(x63991),x63992),x63993))+P1(f317(f317(f277(x63991),f317(f70(x63991),x63992)),x63993))
% 184.03/183.91 [6400]~P118(x64001)+~P1(f317(f317(f277(x64001),x64002),x64003))+P1(f317(f317(f277(x64001),f317(f73(x64001),x64002)),x64003))
% 184.03/183.91 [6483]E(f317(f317(f74(a899),x64831),f722(x64831,x64832,x64833)),x64832)+P1(f317(f317(f225(a899),x64832),x64831))+P1(f317(x64833,f317(f317(f3(a899),x64832),x64831)))
% 184.03/183.91 [6484]E(f317(f317(f74(a899),x64841),f734(x64841,x64842,x64843)),x64842)+P1(f317(f317(f225(a899),x64842),x64841))+P1(f317(x64843,f317(f317(f3(a899),x64842),x64841)))
% 184.03/183.91 [6500]~P113(x65001)+E(f317(f317(f75(x65001),f317(f70(x65001),x65002)),x65003),f317(f70(x65001),f317(f317(f75(x65001),x65002),x65003)))+~P1(f317(f317(f224(x65001),f2(x65001)),x65003))
% 184.03/183.91 [6501]~P63(x65011)+E(f317(f317(f281(x65011),f317(f70(x65011),x65012)),x65013),f317(f70(x65011),f317(f317(f281(x65011),x65012),x65013)))+~P1(f317(f317(f225(x65011),f2(x65011)),x65013))
% 184.03/183.91 [6510]~P107(x65101)+~P1(f317(f28(x65101),x65103))+E(f317(f317(f58(x65101,x65101,f228(x65101)),x65102),x65103),f16(x65101,f317(f317(f299(x65101),x65102),x65103)))
% 184.03/183.91 [6511]~P107(x65111)+~P1(f317(f28(x65111),x65113))+E(f317(f317(f58(x65111,x65111,f223(x65111)),x65112),x65113),f17(x65111,f317(f317(f299(x65111),x65112),x65113)))
% 184.03/183.91 [6512]~P98(x65121)+~P1(f317(f28(x65121),x65123))+E(f317(f317(f58(x65121,x65121,f91(x65121)),x65122),x65123),f12(x65121,f317(f317(f299(x65121),x65122),x65123)))
% 184.03/183.91 [6513]~P98(x65131)+~P1(f317(f28(x65131),x65133))+E(f317(f317(f58(x65131,x65131,f92(x65131)),x65132),x65133),f13(x65131,f317(f317(f299(x65131),x65132),x65133)))
% 184.03/183.91 [6558]E(x65581,f103(x65582))+~E(f169(x65582,x65583),f103(f900(x65582)))+~P1(f317(f317(f319(f900(x65582)),x65581),f317(f162(f900(x65582)),x65583)))
% 184.03/183.91 [6577]~P120(x65771)+~P1(f317(f317(f225(a899),f2(a899)),x65773))+P1(f317(f317(f277(x65771),x65772),f317(f317(f234(x65771),x65772),x65773)))
% 184.03/183.91 [6605]~P1(f317(f127(x66051),x66053))+P1(f317(f317(f319(x66051),x66052),f317(f162(x66051),x66053)))+P1(f317(f127(x66051),f317(f317(f141(x66051),x66052),x66053)))
% 184.03/183.91 [6616]~P96(x66161)+~P1(f317(f28(x66161),x66163))+E(f317(f57(x66161,f75(x66161)),f317(f317(f299(x66161),x66162),x66163)),f317(f317(f58(x66161,x66161,f75(x66161)),x66162),x66163))
% 184.03/183.91 [6638]~P107(x66381)+~P1(f317(f28(x66381),x66383))+E(f14(x66381,f228(x66381),f317(f317(f299(x66381),x66382),x66383)),f317(f317(f58(x66381,x66381,f228(x66381)),x66382),x66383))
% 184.03/183.91 [6639]~P107(x66391)+~P1(f317(f28(x66391),x66393))+E(f15(x66391,f223(x66391),f317(f317(f299(x66391),x66392),x66393)),f317(f317(f58(x66391,x66391,f223(x66391)),x66392),x66393))
% 184.03/183.91 [6641]P1(f317(x66411,f2(a899)))+~P1(f317(f317(f225(a899),x66412),x66413))+~P1(f317(x66411,f317(f317(f3(a899),x66412),x66413)))
% 184.03/183.91 [6662]~P85(x66621)+P1(f317(f317(f224(x66621),x66622),x66623))+~P1(f317(f317(f224(x66621),f317(f70(x66621),x66622)),x66623))
% 184.03/183.91 [6663]~P113(x66631)+P1(f317(f317(f225(x66631),x66632),x66633))+~P1(f317(f317(f225(x66631),f317(f70(x66631),x66632)),x66633))
% 184.03/183.91 [6664]~P113(x66641)+P1(f317(f317(f277(x66641),x66642),x66643))+~P1(f317(f317(f277(x66641),f317(f70(x66641),x66642)),x66643))
% 184.03/183.91 [6665]~P118(x66651)+P1(f317(f317(f277(x66651),x66652),x66653))+~P1(f317(f317(f277(x66651),f317(f73(x66651),x66652)),x66653))
% 184.03/183.91 [6682]E(x66821,f103(x66822))+E(f317(f131(x66822),f317(f317(f128(x66822),x66823),x66821)),f317(f317(f154(x66822),x66821),x66823))+~P1(f317(f317(f225(a899),x66823),f317(f179(f900(x66822)),x66821)))
% 184.03/183.91 [6737]~P1(f317(x67371,x67373))+P1(f317(x67371,f379(x67371,x67372)))+~P1(f317(f317(f319(a899),x67373),f317(f292(a899,f2(a899)),x67372)))
% 184.03/183.91 [6757]P1(f317(x67571,x67572))+~P1(f317(f317(f225(a899),x67572),x67573))+P1(f317(f317(f319(a899),f376(x67571,x67573)),f317(f292(a899,f2(a899)),x67573)))
% 184.03/183.91 [6772]~P112(x67721)+~P1(f317(f317(f224(x67721),f72(x67721)),x67722))+P1(f317(f317(f224(x67721),f72(x67721)),f317(f317(f234(x67721),x67722),x67723)))
% 184.03/183.91 [6774]~P112(x67741)+~P1(f317(f317(f224(x67741),f2(x67741)),x67742))+P1(f317(f317(f224(x67741),f2(x67741)),f317(f317(f234(x67741),x67742),x67743)))
% 184.03/183.91 [6776]~P112(x67761)+~P1(f317(f317(f225(x67761),f2(x67761)),x67762))+P1(f317(f317(f225(x67761),f2(x67761)),f317(f317(f234(x67761),x67762),x67763)))
% 184.03/183.91 [6802]~P1(f317(x68021,x68023))+~P1(f317(f317(f225(a899),x68023),x68022))+P1(f317(f317(f319(a899),f375(x68021,x68022)),f317(f292(a899,f2(a899)),x68022)))
% 184.03/183.91 [6810]P1(f317(f28(x68101),x68102))+~P1(f317(f28(x68101),x68103))+~P1(f317(f317(f224(f906(x68101,a895)),x68102),x68103))
% 184.03/183.91 [6817]~P1(f317(f317(f277(a899),x68171),x68172))+~P1(f317(f317(f277(a899),x68171),x68173))+P1(f317(f317(f277(a899),x68171),f317(f317(f3(a899),x68172),x68173)))
% 184.03/183.91 [6818]P1(f317(x68181,x68182))+~P1(f317(x68181,f377(x68181,x68183)))+~P1(f317(f317(f319(a899),x68182),f317(f292(a899,f2(a899)),x68183)))
% 184.03/183.91 [6831]E(x68311,f2(a899))+P1(f317(x68312,f327(x68311,x68313,x68312)))+~P1(f317(x68312,f317(f317(f30(a899),x68313),x68311)))
% 184.03/183.91 [6839]~P128(x68392)+E(x68391,f2(x68392))+~E(f317(f317(f74(x68392),f317(f317(f75(x68392),x68393),x68393)),f317(f317(f75(x68392),x68391),x68391)),f2(x68392))
% 184.03/183.91 [6840]~P128(x68402)+E(x68401,f2(x68402))+~E(f317(f317(f74(x68402),f317(f317(f75(x68402),x68401),x68401)),f317(f317(f75(x68402),x68403),x68403)),f2(x68402))
% 184.03/183.91 [6886]E(x68861,f2(a899))+~P1(f317(x68862,f328(x68861,x68863,x68862)))+P1(f317(x68862,f317(f317(f30(a899),x68863),x68861)))
% 184.03/183.91 [6891]~P107(x68911)+~P13(x68911,x68913)+P13(x68911,f317(f317(f138(x68911,x68911,f7(x68911)),x68912),x68913))
% 184.03/183.91 [6933]P1(f317(x69331,f327(x69332,x69333,x69331)))+P1(f317(x69331,f2(a899)))+~P1(f317(x69331,f317(f317(f30(a899),x69333),x69332)))
% 184.03/183.91 [6939]~P93(x69391)+E(f317(f94(x69391),x69392),f317(f94(x69391),x69393))+~P27(x69391,f317(f94(x69391),f317(f317(f74(a1),x69392),f317(f73(a1),x69393))))
% 184.03/183.91 [7007]E(x70071,f2(a1))+E(x70072,f2(a1))+~P1(f317(f44(x70072,x70072),f317(f317(f242(a1,a1),x70073),x70071)))
% 184.03/183.91 [7008]E(x70081,f72(a1))+E(x70082,f2(a1))+~P1(f317(f44(x70082,x70082),f317(f317(f242(a1,a1),x70081),x70083)))
% 184.03/183.91 [7023]P1(f317(x70231,x70232))+P1(f317(f317(f225(a899),f377(x70231,x70233)),x70233))+~P1(f317(f317(f319(a899),x70232),f317(f292(a899,f2(a899)),x70233)))
% 184.03/183.91 [7046]~P1(f317(x70461,f722(x70463,x70462,x70461)))+~P1(f317(x70461,f2(a899)))+P1(f317(x70461,f317(f317(f3(a899),x70462),x70463)))
% 184.03/183.91 [7047]~P1(f317(x70471,f734(x70473,x70472,x70471)))+~P1(f317(x70471,f2(a899)))+P1(f317(x70471,f317(f317(f3(a899),x70472),x70473)))
% 184.03/183.91 [7048]~P1(f317(x70481,f328(x70483,x70482,x70481)))+~P1(f317(x70481,f2(a899)))+P1(f317(x70481,f317(f317(f30(a899),x70482),x70483)))
% 184.03/183.91 [7068]~P1(f317(x70681,x70683))+P1(f317(f317(f225(a899),f379(x70681,x70682)),x70682))+~P1(f317(f317(f319(a899),x70683),f317(f292(a899,f2(a899)),x70682)))
% 184.03/183.91 [7069]E(f317(f317(f3(a899),f317(f317(f3(a899),x70691),x70692)),f317(f317(f3(a899),x70693),x70692)),f317(f317(f3(a899),x70691),x70693))+~P1(f317(f317(f224(a899),x70692),x70691))+~P1(f317(f317(f224(a899),x70692),x70693))
% 184.03/183.91 [7105]~P78(x71051)+~P1(f317(f317(f224(x71051),f317(f73(x71051),x71053)),x71052))+P1(f317(f317(f224(x71051),f317(f73(x71051),x71052)),x71053))
% 184.03/183.91 [7107]~P85(x71071)+~P1(f317(f317(f224(x71071),f317(f70(x71071),x71072)),x71073))+P1(f317(f317(f224(x71071),f317(f73(x71071),x71072)),x71073))
% 184.03/183.91 [7109]~P78(x71091)+~P1(f317(f317(f225(x71091),f317(f73(x71091),x71093)),x71092))+P1(f317(f317(f225(x71091),f317(f73(x71091),x71092)),x71093))
% 184.03/183.91 [7110]~P113(x71101)+~P1(f317(f317(f225(x71101),f317(f70(x71101),x71102)),x71103))+P1(f317(f317(f225(x71101),f317(f73(x71101),x71102)),x71103))
% 184.03/183.91 [7142]~P1(f317(x71423,f722(x71422,x71421,x71423)))+P1(f317(f317(f225(a899),x71421),x71422))+P1(f317(x71423,f317(f317(f3(a899),x71421),x71422)))
% 184.03/183.91 [7143]~P1(f317(x71433,f734(x71432,x71431,x71433)))+P1(f317(f317(f225(a899),x71431),x71432))+P1(f317(x71433,f317(f317(f3(a899),x71431),x71432)))
% 184.03/183.91 [7195]~E(f407(x71953,x71952,x71951),f408(x71953,x71952,x71951))+E(f317(f317(f92(f906(x71951,a895)),x71952),f31(f906(x71951,a895),x71953)),f178(f906(x71951,a895)))+P1(f317(f317(f319(f906(x71951,a895)),x71952),x71953))
% 184.03/183.91 [7203]~P1(f317(f28(x72031),x72033))+P1(f317(f28(x72031),f32(f906(x72031,a895),x72032)))+~P1(f317(f317(f319(f906(x72031,a895)),x72033),x72032))
% 184.03/183.91 [7263]~P107(x72631)+E(f317(f317(f91(f906(x72631,a895)),f317(f292(x72631,x72632),x72633)),f317(f317(f299(x72631),x72633),f178(f906(x72631,a895)))),f293(x72631,x72632,x72633))+~P1(f317(f317(f224(x72631),x72632),x72633))
% 184.03/183.91 [7266]E(x72661,f2(a899))+P1(f317(f317(f225(a899),f331(x72661,x72663,x72662)),x72661))+P1(f317(x72662,f317(f317(f30(a899),x72663),x72661)))
% 184.03/183.91 [7295]P1(f317(f317(f225(a899),f317(f179(f900(x72951)),x72952)),f764(x72953,x72951)))+~P1(f317(f28(f900(x72951)),x72953))+~P1(f317(f317(f319(f900(x72951)),x72952),x72953))
% 184.03/183.91 [7301]E(x73011,x73012)+~P1(f317(f317(f224(f906(x73013,a895)),x73011),x73012))+P1(f317(f317(f225(f906(x73013,a895)),x73011),x73012))
% 184.03/183.91 [7312]E(x73121,x73122)+~E(f317(f179(f900(x73123)),x73121),f317(f179(f900(x73123)),x73122))+P1(f317(f317(f225(a899),f606(x73123,x73121,x73122)),f317(f179(f900(x73123)),x73122)))
% 184.03/183.91 [7361]P8(x73611,x73612,x73613)+~E(f317(f254(x73611,x73611),x73613),x73612)+~E(f317(f317(f279(x73611,x73611,x73611),f317(f276(x73611,x73611),x73613)),x73613),x73613)
% 184.03/183.91 [7441]~P1(f317(x74411,f2(a899)))+P1(f317(f317(f225(a899),f331(x74413,x74412,x74411)),x74413))+P1(f317(x74411,f317(f317(f30(a899),x74412),x74413)))
% 184.03/183.91 [7451]~P107(x74511)+E(f317(f317(f91(f906(x74511,a895)),f296(x74511,x74512,x74513)),f317(f317(f299(x74511),x74513),f178(f906(x74511,a895)))),f295(x74511,x74512,x74513))+~P1(f317(f317(f225(x74511),x74512),x74513))
% 184.03/183.91 [7543]~P1(f317(f28(x75431),x75433))+P1(f317(f317(f224(a899),f317(f29(x75431),x75432)),f317(f29(x75431),x75433)))+~P1(f317(f317(f224(f906(x75431,a895)),x75432),x75433))
% 184.03/183.91 [7544]~P1(f317(f28(x75441),x75443))+P1(f317(f317(f225(a899),f317(f29(x75441),x75442)),f317(f29(x75441),x75443)))+~P1(f317(f317(f225(f906(x75441,a895)),x75442),x75443))
% 184.03/183.91 [7677]E(x76771,x76772)+~P1(f317(f317(f224(f906(x76773,a895)),x76772),x76771))+~P1(f317(f317(f224(f906(x76773,a895)),x76771),x76772))
% 184.03/183.91 [7680]~P107(x76801)+P13(x76801,x76802)+~P13(x76801,f317(f317(f138(x76801,x76801,f7(x76801)),x76803),x76802))
% 184.03/183.91 [7751]~P1(f317(f317(f225(a899),x77513),x77512))+~P1(f317(f317(f225(a899),x77513),x77511))+P1(f317(f317(f225(a899),f317(f317(f3(a899),x77511),x77512)),f317(f317(f3(a899),x77511),x77513)))
% 184.03/183.91 [7752]~P1(f317(f317(f224(a899),x77522),x77521))+~P1(f317(f317(f225(a899),x77521),x77523))+P1(f317(f317(f225(a899),f317(f317(f3(a899),x77521),x77522)),f317(f317(f3(a899),x77523),x77522)))
% 184.03/183.91 [7767]~P1(f317(f317(f225(a1),x77672),f2(a1)))+~P1(f317(f317(f224(a1),x77673),x77671))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77671),x77672)),f317(f317(f30(a1),x77673),x77672)))
% 184.03/183.91 [7784]~P1(f317(f317(f225(a899),f2(a899)),x77843))+~P1(f317(f317(f224(a899),x77843),x77842))+P1(f317(f317(f224(a899),f317(f317(f30(a899),x77841),x77842)),f317(f317(f30(a899),x77841),x77843)))
% 184.03/183.91 [7785]~P1(f317(f317(f225(a1),f2(a1)),x77852))+~P1(f317(f317(f224(a1),x77851),x77853))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77851),x77852)),f317(f317(f30(a1),x77853),x77852)))
% 184.03/183.91 [7789]~P1(f317(f317(f225(a899),f2(a899)),x77892))+~P1(f317(f317(f225(a899),x77891),x77893))+P1(f317(f317(f225(a899),f317(f317(f75(a899),x77891),x77892)),f317(f317(f75(a899),x77893),x77892)))
% 184.03/183.91 [7790]~P1(f317(f317(f225(a899),f2(a899)),x77901))+~P1(f317(f317(f225(a899),x77902),x77903))+P1(f317(f317(f225(a899),f317(f317(f75(a899),x77901),x77902)),f317(f317(f75(a899),x77901),x77903)))
% 184.03/183.91 [7791]~P1(f317(f317(f225(a1),f2(a1)),x77911))+~P1(f317(f317(f225(a1),x77912),x77913))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x77911),x77912)),f317(f317(f75(a1),x77911),x77913)))
% 184.03/183.91 [7840]E(x78401,f2(a899))+E(f317(f317(f74(a899),f317(f317(f75(a899),x78401),f328(x78401,x78402,x78403))),f331(x78401,x78402,x78403)),x78402)+P1(f317(x78403,f317(f317(f30(a899),x78402),x78401)))
% 184.03/183.91 [7900]E(f317(f317(f74(a899),f317(f317(f75(a899),x79001),f328(x79001,x79002,x79003))),f331(x79001,x79002,x79003)),x79002)+~P1(f317(x79003,f2(a899)))+P1(f317(x79003,f317(f317(f30(a899),x79002),x79001)))
% 184.03/183.91 [7918]~P1(f317(f28(x79181),x79183))+P1(f317(f317(f319(x79181),f767(x79182,x79183,x79181)),x79183))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f11(x79181,a899),x79182),x79183)))
% 184.03/183.91 [7919]~P1(f317(f28(x79191),x79193))+P1(f317(f317(f319(x79191),f852(x79192,x79193,x79191)),x79193))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f11(x79191,a899),x79192),x79193)))
% 184.03/183.91 [8019]E(x80191,f2(a899))+P1(f317(f317(f277(a899),x80192),x80193))+~P1(f317(f317(f277(a899),f317(f317(f75(a899),x80191),x80192)),f317(f317(f75(a899),x80191),x80193)))
% 184.03/183.91 [8209]E(x82091,f178(f906(x82092,a895)))+E(x82091,f317(f317(f299(x82092),x82093),f178(f906(x82092,a895))))+~P1(f317(f317(f224(f906(x82092,a895)),x82091),f317(f317(f299(x82092),x82093),f178(f906(x82092,a895)))))
% 184.03/183.91 [8245]~P1(f317(f317(f225(a899),f72(a899)),x82453))+P1(f317(f317(f224(a899),x82451),x82452))+~P1(f317(f317(f277(a899),f317(f317(f234(a899),x82453),x82451)),f317(f317(f234(a899),x82453),x82452)))
% 184.03/183.91 [8247]~P1(f317(f317(f225(a899),f2(a899)),x82473))+P1(f317(f317(f224(a899),x82471),x82472))+~P1(f317(f317(f224(a899),f317(f317(f75(a899),x82473),x82471)),f317(f317(f75(a899),x82473),x82472)))
% 184.03/183.91 [8248]~P1(f317(f317(f225(a899),f2(a899)),x82483))+P1(f317(f317(f224(a899),x82481),x82482))+~P1(f317(f317(f224(a899),f317(f317(f75(a899),x82481),x82483)),f317(f317(f75(a899),x82482),x82483)))
% 184.03/183.91 [8250]~P1(f317(f317(f225(a899),f2(a899)),x82503))+P1(f317(f317(f225(a899),x82501),x82502))+~P1(f317(f317(f225(a899),f317(f317(f234(a899),x82503),x82501)),f317(f317(f234(a899),x82503),x82502)))
% 184.03/183.91 [8252]~P1(f317(f317(f225(a899),f2(a899)),x82523))+P1(f317(f317(f277(a899),x82521),x82522))+~P1(f317(f317(f277(a899),f317(f317(f75(a899),x82523),x82521)),f317(f317(f75(a899),x82523),x82522)))
% 184.03/183.91 [8291]~E(f317(f317(f92(f906(x82911,a895)),f408(x82913,x82912,x82911)),f407(x82913,x82912,x82911)),f178(f906(x82911,a895)))+E(f317(f317(f92(f906(x82911,a895)),x82912),f31(f906(x82911,a895),x82913)),f178(f906(x82911,a895)))+P1(f317(f317(f319(f906(x82911,a895)),x82912),x82913))
% 184.03/183.91 [8305]E(x83051,f103(x83052))+~E(f317(f132(f900(x83052),f900(x83052),f124(x83052),f103(x83052)),x83053),f103(x83052))+~P1(f317(f317(f319(f900(x83052)),x83051),f317(f162(f900(x83052)),x83053)))
% 184.03/183.91 [8361]E(x83611,f178(f906(f906(x83612,a895),a895)))+P1(f317(f317(f319(f906(x83612,a895)),f437(x83613,x83611,x83612)),x83611))+P1(f317(f317(f224(f906(x83612,a895)),f32(f906(x83612,a895),x83611)),x83613))
% 184.03/183.91 [8367]~P70(x83671)+~P74(x83671)+E(f317(f317(f8(a1,x83671),f317(f317(f10(a899,x83671,a1),x83672),a95)),f317(f300(a899,a1,f90(a1)),x83673)),f317(f317(f8(a899,x83671),x83672),x83673))
% 184.03/183.91 [8368]~P70(x83681)+~P74(x83681)+E(f317(f317(f11(a1,x83681),f317(f317(f10(a899,x83681,a1),x83682),a95)),f317(f300(a899,a1,f90(a1)),x83683)),f317(f317(f11(a899,x83681),x83682),x83683))
% 184.03/183.91 [8410]~P1(f317(f28(x84101),x84103))+~P1(f317(f317(f225(a899),f2(a899)),f317(x84102,f767(x84102,x84103,x84101))))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f11(x84101,a899),x84102),x84103)))
% 184.03/183.91 [8411]~P1(f317(f28(x84111),x84113))+~P1(f317(f317(f225(a899),f2(a899)),f317(x84112,f852(x84112,x84113,x84111))))+P1(f317(f317(f225(a899),f2(a899)),f317(f317(f11(x84111,a899),x84112),x84113)))
% 184.03/183.91 [8447]~P62(x84472)+E(x84471,f72(x84472))+E(f317(f317(f281(x84472),f317(f317(f3(x84472),f317(f317(f234(x84472),x84471),x84473)),f72(x84472))),f317(f317(f3(x84472),x84471),f72(x84472))),f317(f317(f8(a899,x84472),f317(f234(x84472),x84471)),f317(f292(a899,f2(a899)),x84473)))
% 184.03/183.91 [8505]E(x85051,f2(a899))+~P1(f317(x85053,f317(f317(f30(a899),x85052),x85051)))+P1(f317(f317(f225(a899),x85052),f317(f317(f75(a899),x85051),f317(a102,f327(x85051,x85052,x85053)))))
% 184.03/183.91 [8525]P1(f317(x85251,f2(a899)))+~P1(f317(x85251,f317(f317(f30(a899),x85252),x85253)))+P1(f317(f317(f225(a899),x85252),f317(f317(f75(a899),x85253),f317(a102,f327(x85253,x85252,x85251)))))
% 184.03/183.91 [8563]E(x85631,f2(a899))+~P1(f317(x85633,f317(f317(f30(a899),x85632),x85631)))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x85631),f327(x85631,x85632,x85633))),x85632))
% 184.03/183.91 [8594]P1(f317(x85941,f2(a899)))+~P1(f317(x85941,f317(f317(f30(a899),x85943),x85942)))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x85942),f327(x85942,x85943,x85941))),x85943))
% 184.03/183.91 [8602]~P107(x86021)+E(f317(f317(f138(x86021,x86021,f7(x86021)),x86022),x86023),f139(x86021,x86021,f7(x86021),x86022,x86023))+P1(f317(f317(f319(x86021),x86022),f317(f162(x86021),x86023)))
% 184.03/183.91 [8637]~E(f317(x86373,f572(x86372,x86373,x86371)),f317(x86373,f574(x86372,x86373,x86371)))+~P59(x86371,f317(x86373,f573(x86372,x86373,x86371)))+P59(x86371,f317(f317(f35(x86372,f906(x86371,f906(x86371,a895))),f232(f906(x86372,a895))),x86373))
% 184.03/183.91 [8646]E(x86461,f178(f906(f906(x86462,a895),a895)))+~P1(f317(f317(f224(f906(x86462,a895)),f437(x86463,x86461,x86462)),x86463))+P1(f317(f317(f224(f906(x86462,a895)),f32(f906(x86462,a895),x86461)),x86463))
% 184.03/183.91 [8706]~P64(x87061)+~P1(f317(f317(f225(x87061),x87062),x87063))+P1(f317(f317(f225(x87061),x87062),f317(f317(f281(x87061),f317(f317(f74(x87061),x87062),x87063)),f317(f317(f74(x87061),f72(x87061)),f72(x87061)))))
% 184.03/183.91 [8764]~P1(f317(f317(x87641,f451(x87641,x87643,x87642)),f452(x87641,x87643,x87642)))+P1(f317(f317(x87641,x87642),x87643))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x87642),x87643)))
% 184.03/183.91 [8765]~P1(f317(f317(x87651,f453(x87651,x87653,x87652)),f455(x87651,x87653,x87652)))+P1(f317(f317(x87651,x87652),x87653))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x87652),x87653)))
% 184.03/183.91 [8766]~P1(f317(f317(x87661,f456(x87661,x87663,x87662)),f459(x87661,x87663,x87662)))+P1(f317(f317(x87661,x87662),x87663))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x87662),x87663)))
% 184.03/183.91 [8767]~P1(f317(f317(x87671,f460(x87671,x87673,x87672)),f461(x87671,x87673,x87672)))+P1(f317(f317(x87671,x87672),x87673))+~P1(f317(f305(f905(a899,a899),a209),f317(f317(f242(a899,a899),x87672),x87673)))
% 184.03/183.91 [8768]~P1(f317(f317(x87681,f657(x87681,x87683,x87682)),f659(x87681,x87683,x87682)))+P1(f317(f317(x87681,x87682),x87683))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x87682),x87683)))
% 184.03/183.91 [8769]~P1(f317(f317(x87691,f753(x87691,x87693,x87692)),f754(x87691,x87693,x87692)))+P1(f317(f317(x87691,x87692),x87693))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x87692),x87693)))
% 184.03/183.91 [9042]P1(f317(f317(x90421,x90422),x90423))+P1(f317(f305(f905(a899,a899),a209),f317(f317(f242(a899,a899),f460(x90421,x90423,x90422)),f461(x90421,x90423,x90422))))+~P1(f317(f305(f905(a899,a899),a209),f317(f317(f242(a899,a899),x90422),x90423)))
% 184.03/183.91 [9043]P1(f317(f317(x90431,x90432),x90433))+P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),f451(x90431,x90433,x90432)),f452(x90431,x90433,x90432))))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x90432),x90433)))
% 184.03/183.91 [9044]P1(f317(f317(x90441,x90442),x90443))+P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),f453(x90441,x90443,x90442)),f455(x90441,x90443,x90442))))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x90442),x90443)))
% 184.03/183.91 [9045]P1(f317(f317(x90451,x90452),x90453))+P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),f456(x90451,x90453,x90452)),f459(x90451,x90453,x90452))))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x90452),x90453)))
% 184.03/183.91 [9046]P1(f317(f317(x90461,x90462),x90463))+P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),f657(x90461,x90463,x90462)),f659(x90461,x90463,x90462))))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x90462),x90463)))
% 184.03/183.91 [9047]P1(f317(f317(x90471,x90472),x90473))+P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),f753(x90471,x90473,x90472)),f754(x90471,x90473,x90472))))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x90472),x90473)))
% 184.03/183.91 [9382]~P1(f317(f28(x93821),x93823))+P1(f317(f317(f319(f905(f906(x93821,a895),f906(x93821,a895))),f317(f317(f242(f906(x93821,a895),f906(x93821,a895)),x93822),x93823)),f304(x93821)))+~P1(f317(f317(f225(f906(x93821,a895)),x93822),x93823))
% 184.03/183.91 [9458]~P59(x94581,f317(x94583,f573(x94582,x94583,x94581)))+P59(x94581,f317(f317(f35(x94582,f906(x94581,f906(x94581,a895))),f232(f906(x94582,a895))),x94583))+~E(f317(f317(f92(f906(x94581,a895)),f239(x94581,x94581,f317(x94583,f572(x94582,x94583,x94581)))),f240(x94581,x94581,f317(x94583,f574(x94582,x94583,x94581)))),f178(f906(x94581,a895)))
% 184.03/183.91 [9669]P52(x96691,x96692,x96693)+P1(f317(f317(f319(f905(x96691,x96691)),f560(x96693,x96692,x96691)),x96693))+~P1(f317(f317(f319(f905(x96691,x96691)),f317(f317(f242(x96691,x96691),f559(x96693,x96692,x96691)),f559(x96693,x96692,x96691))),x96693))
% 184.03/183.91 [10260]P52(x102601,x102602,x102603)+~P1(f317(f317(f247(x102601,x102601,a895),f317(f317(f9(x102601,f906(x102601,a895),f906(x102601,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x102601,a895),f906(x102601,a895)),x102601),f10(a895,a895,x102601)),f317(f317(f10(a895,f906(a895,a895),x102601),a315),f317(f317(f9(x102601,f906(x102601,a895),a895),f319(x102601)),x102602)))),f317(f317(f9(x102601,f906(x102601,a895),a895),f319(x102601)),x102602))),f560(x102603,x102602,x102601)))+~P1(f317(f317(f319(f905(x102601,x102601)),f317(f317(f242(x102601,x102601),f559(x102603,x102602,x102601)),f559(x102603,x102602,x102601))),x102603))
% 184.03/183.91 [5729]~P3(x57292)+E(x57291,f2(x57292))+E(f317(f317(f30(x57292),f317(f317(f75(x57292),x57293),x57291)),x57291),x57293)
% 184.03/183.91 [5730]~P3(x57302)+E(x57301,f2(x57302))+E(f317(f317(f30(x57302),f317(f317(f75(x57302),x57301),x57303)),x57301),x57303)
% 184.03/183.91 [6393]~P3(x63931)+E(f317(f317(f75(x63931),f317(f317(f30(x63931),x63932),x63933)),x63933),x63932)+~P1(f317(f317(f277(x63931),x63933),x63932))
% 184.03/183.91 [6557]~P70(x65571)+~E(f317(x65572,f2(a899)),f2(x65571))+E(f317(f317(f8(a899,x65571),x65572),f317(f292(a899,f317(a102,f2(a899))),x65573)),f317(f317(f8(a899,x65571),x65572),f317(f292(a899,f2(a899)),x65573)))
% 184.03/183.91 [6695]~P3(x66952)+E(x66951,f2(x66952))+E(f317(f317(f30(x66952),f317(f317(f74(x66952),x66953),x66951)),x66951),f317(f317(f74(x66952),f317(f317(f30(x66952),x66953),x66951)),f72(x66952)))
% 184.03/183.91 [6696]~P3(x66962)+E(x66961,f2(x66962))+E(f317(f317(f30(x66962),f317(f317(f74(x66962),x66961),x66963)),x66961),f317(f317(f74(x66962),f317(f317(f30(x66962),x66963),x66961)),f72(x66962)))
% 184.03/183.91 [6922]~P1(f317(x69223,f2(a1)))+P1(f317(f317(f224(a899),x69221),x69222))+P1(f317(x69223,f317(f90(a1),f317(f317(f3(a899),x69222),x69221))))
% 184.03/183.91 [7029]P1(f317(f317(f225(a899),x70292),x70291))+P1(f317(f317(f224(a899),x70291),x70292))+P1(f317(x70293,f317(f90(a1),f317(f317(f3(a899),x70292),x70291))))
% 184.03/183.91 [7103]E(f317(f317(f74(a899),f317(f94(a899),x71031)),f317(f317(f74(a899),f317(f94(a899),x71032)),x71033)),f317(f317(f74(a899),f317(f94(a899),x71031)),x71033))+P1(f317(a183,f317(f94(a1),x71031)))+~P1(f317(a183,f317(f94(a1),x71032)))
% 184.03/183.91 [7182]~E(x71822,f317(f317(f30(a899),x71823),x71821))+~P1(f317(f317(f225(a899),f2(a899)),x71821))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x71821),x71822)),x71823))
% 184.03/183.91 [7299]~P1(f317(f28(x72991),x72993))+~P1(f317(f28(x72991),x72992))+P1(f317(f28(x72991),f317(f317(f91(f906(x72991,a895)),x72992),x72993)))
% 184.03/183.91 [7346]~P37(x73461,x73463)+~P37(x73461,x73462)+P37(x73461,f317(f317(f92(f906(f905(x73461,x73461),a895)),x73462),x73463))
% 184.03/183.91 [7347]~P51(x73471,x73473)+~P51(x73471,x73472)+P51(x73471,f317(f317(f91(f906(f905(x73471,x73471),a895)),x73472),x73473))
% 184.03/183.91 [7348]~P51(x73481,x73483)+~P51(x73481,x73482)+P51(x73481,f317(f317(f92(f906(f905(x73481,x73481),a895)),x73482),x73483))
% 184.03/183.91 [7591]~P107(x75911)+~P1(f317(f28(x75911),x75912))+E(f129(x75911,f317(f317(f3(f906(x75911,a895)),x75912),f317(f317(f299(x75911),x75913),f178(f906(x75911,a895))))),f160(x75911,x75913,f129(x75911,x75912)))
% 184.03/183.91 [7656]P1(f317(x76561,f2(a1)))+~P1(f317(f317(f225(a899),x76562),x76563))+~P1(f317(x76561,f317(f90(a1),f317(f317(f3(a899),x76562),x76563))))
% 184.03/183.91 [7674]~P1(f317(f28(x76741),x76742))+E(f317(f29(x76741),f317(f317(f3(f906(x76741,a895)),x76742),f317(f317(f299(x76741),x76743),f178(f906(x76741,a895))))),f317(f29(x76741),x76742))+P1(f317(f317(f319(x76741),x76743),x76742))
% 184.03/183.91 [7807]~P112(x78071)+~P1(f317(f317(f225(x78071),f72(x78071)),x78072))+P1(f317(f317(f225(x78071),f72(x78071)),f317(f317(f75(x78071),x78072),f317(f317(f234(x78071),x78072),x78073))))
% 184.03/183.91 [7850]~P1(f317(f28(x78501),x78503))+E(f317(f317(f3(a899),f317(f29(x78501),x78502)),f317(f29(x78501),x78503)),f317(f29(x78501),f317(f317(f3(f906(x78501,a895)),x78502),x78503)))+~P1(f317(f317(f224(f906(x78501,a895)),x78503),x78502))
% 184.03/183.91 [7908]~P1(f317(f317(f224(a899),x79082),x79083))+~P1(f317(f317(f224(a899),x79081),f317(f317(f3(a899),x79083),x79082)))+P1(f317(f317(f224(a899),f317(f317(f74(a899),x79081),x79082)),x79083))
% 184.03/183.91 [7962]P1(f317(f28(x79621),x79622))+~P1(f317(f28(x79621),x79623))+~P1(f317(f28(x79621),f317(f317(f3(f906(x79621,a895)),x79622),x79623)))
% 184.03/183.91 [7968]~P1(f317(f28(x79681),x79682))+E(f317(f29(x79681),f317(f317(f3(f906(x79681,a895)),x79682),f317(f317(f299(x79681),x79683),f178(f906(x79681,a895))))),f317(f317(f3(a899),f317(f29(x79681),x79682)),f72(a899)))+~P1(f317(f317(f319(x79681),x79683),x79682))
% 184.03/183.91 [8044]P59(x80441,x80442)+~P59(x80441,x80443)+~P1(f317(f317(f224(f906(x80441,f906(x80441,a895))),x80442),x80443))
% 184.03/183.91 [8084]~P1(f317(f317(f224(a899),x80843),x80842))+P1(f317(f317(f224(a899),x80841),f317(f317(f3(a899),x80842),x80843)))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),x80841),x80843)),x80842))
% 184.03/183.91 [8102]P36(x81021,x81022)+~P36(x81021,x81023)+~P1(f317(f317(f224(f906(f905(x81021,x81021),a895)),x81022),x81023))
% 184.03/183.91 [8103]P57(x81031,x81032)+~P57(x81031,x81033)+~P1(f317(f317(f224(f906(f905(x81031,x81031),a895)),x81032),x81033))
% 184.03/183.91 [8104]P38(x81041,x81042)+~P38(x81041,x81043)+~P1(f317(f317(f224(f906(f905(x81041,x81041),a895)),x81042),x81043))
% 184.03/183.91 [8338]~P112(x83381)+~P1(f317(f317(f225(x83381),f72(x83381)),x83382))+P1(f317(f317(f225(x83381),f317(f317(f234(x83381),x83382),x83383)),f317(f317(f75(x83381),x83382),f317(f317(f234(x83381),x83382),x83383))))
% 184.03/183.91 [8429]~P1(f317(x84291,f2(a1)))+~P1(f317(x84291,f317(f317(f3(a1),f317(f90(a1),x84292)),f317(f90(a1),x84293))))+P1(f317(x84291,f317(f90(a1),f317(f317(f3(a899),x84292),x84293))))
% 184.03/183.91 [8444]~P1(f317(f317(f224(a899),x84443),x84442))+P1(f317(x84441,f317(f317(f3(a1),f317(f90(a1),x84442)),f317(f90(a1),x84443))))+~P1(f317(x84441,f317(f90(a1),f317(f317(f3(a899),x84442),x84443))))
% 184.03/183.91 [8464]P1(f317(f317(f225(a899),x84641),x84642))+~P1(f317(x84643,f317(f317(f3(a1),f317(f90(a1),x84641)),f317(f90(a1),x84642))))+P1(f317(x84643,f317(f90(a1),f317(f317(f3(a899),x84641),x84642))))
% 184.03/183.91 [8518]~P128(x85182)+E(x85181,f2(x85182))+P1(f317(f317(f225(x85182),f2(x85182)),f317(f317(f74(x85182),f317(f317(f75(x85182),x85183),x85183)),f317(f317(f75(x85182),x85181),x85181))))
% 184.03/183.91 [8519]~P128(x85192)+E(x85191,f2(x85192))+P1(f317(f317(f225(x85192),f2(x85192)),f317(f317(f74(x85192),f317(f317(f75(x85192),x85191),x85191)),f317(f317(f75(x85192),x85193),x85193))))
% 184.03/183.91 [8619]~P1(f317(f317(f225(a899),f2(a899)),x86191))+~P1(f317(f317(f225(a1),x86192),x86193))+P1(f317(f317(f225(a1),f317(f317(f75(a1),f317(f90(a1),x86191)),x86192)),f317(f317(f75(a1),f317(f90(a1),x86191)),x86193)))
% 184.03/183.91 [8675]E(f317(f317(f92(f906(x86751,a895)),x86752),f31(f906(x86751,a895),x86753)),f178(f906(x86751,a895)))+P1(f317(f317(f319(f906(x86751,a895)),x86752),x86753))+P1(f317(f317(f319(f906(x86751,a895)),f408(x86753,x86752,x86751)),f317(f317(f299(f906(x86751,a895)),x86752),x86753)))
% 184.03/183.91 [8676]E(f317(f317(f92(f906(x86761,a895)),x86762),f31(f906(x86761,a895),x86763)),f178(f906(x86761,a895)))+P1(f317(f317(f319(f906(x86761,a895)),x86762),x86763))+P1(f317(f317(f319(f906(x86761,a895)),f407(x86763,x86762,x86761)),f317(f317(f299(f906(x86761,a895)),x86762),x86763)))
% 184.03/183.91 [8705]E(x87051,x87052)+~E(f317(f179(f900(x87053)),x87051),f317(f179(f900(x87053)),x87052))+P1(f317(f317(f319(f905(x87053,x87053)),f645(x87053,x87051,x87052)),f317(f162(f905(x87053,x87053)),f317(f317(f171(x87053,x87053),x87052),x87051))))
% 184.03/183.91 [8955]E(f297(x89551,x89552),f297(x89551,x89553))+~P1(f317(f317(f224(f906(f905(x89551,x89551),a895)),x89553),f297(x89551,x89552)))+~P1(f317(f317(f224(f906(f905(x89551,x89551),a895)),x89552),x89553))
% 184.03/183.91 [9022]~P52(x90221,f232(f906(x90221,a895)),x90223)+P1(f317(f317(f224(f906(f905(f900(x90221),f900(x90221)),a895)),f147(x90221,x90222)),f148(x90221,x90223)))+~P1(f317(f317(f224(f906(f905(x90221,x90221),a895)),x90222),x90223))
% 184.03/183.91 [9217]P36(x92171,x92172)+~P1(f317(f317(f319(x92171),x92173),f586(x92172,x92171)))+P1(f317(f317(f319(f905(x92171,x92171)),f317(f317(f242(x92171,x92171),f596(x92172,x92171,x92173)),x92173)),x92172))
% 184.03/183.91 [9252]~P1(f317(f28(x92521),x92522))+P1(f317(f28(f906(x92521,a895)),f317(f317(f55(x92521),x92522),x92523)))+~P1(f317(f317(f224(f906(f905(x92521,x92521),a895)),x92523),f317(f317(f244(x92521,x92521),x92522),f317(f18(f906(x92521,a895),x92521),x92522))))
% 184.03/183.91 [9288]P52(x92881,x92882,x92883)+P1(f317(f317(f319(x92881),f547(x92883,x92882,x92881)),x92882))+~P1(f317(f317(f224(f906(f905(x92881,x92881),a895)),x92883),f317(f317(f244(x92881,x92881),x92882),f317(f18(f906(x92881,a895),x92881),x92882))))
% 184.03/183.91 [9289]P52(x92891,x92892,x92893)+P1(f317(f317(f319(x92891),f554(x92892,x92893,x92891)),x92892))+~P1(f317(f317(f224(f906(f905(x92891,x92891),a895)),x92893),f317(f317(f244(x92891,x92891),x92892),f317(f18(f906(x92891,a895),x92891),x92892))))
% 184.03/183.91 [9324]~P64(x93241)+~P1(f317(f317(f225(x93241),x93242),x93243))+P1(f317(f317(f225(x93241),f317(f317(f281(x93241),f317(f317(f74(x93241),x93242),x93243)),f317(f317(f74(x93241),f72(x93241)),f72(x93241)))),x93243))
% 184.03/183.91 [9355]~P63(x93551)+P1(f317(f317(f224(x93551),x93552),x93553))+~P1(f317(f317(f224(x93551),f317(f317(f75(x93551),f839(x93553,x93552,x93551)),x93552)),x93553))
% 184.03/183.91 [9493]E(f317(f179(f900(f900(x94931))),f317(f126(f900(x94931),f317(f317(f10(a899,a895,f900(x94931)),f317(f225(a899),x94932)),f179(f900(x94931)))),f169(x94931,x94933))),f317(f179(f900(x94931)),f317(f317(f154(f900(x94931)),x94933),x94932)))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x94931),a899),f179(f900(x94931))),x94933)))+~P1(f317(f317(f225(a899),x94932),f317(f179(f900(f900(x94931))),x94933)))
% 184.03/183.91 [9616]~P36(x96161,x96162)+P26(x96161,f317(f317(f242(f906(f905(x96161,x96161),a895),f906(f905(x96161,x96161),a895)),x96162),x96163))+~P1(f317(f317(f224(f906(f905(x96161,x96161),a895)),f317(f317(f279(x96161,x96161,x96161),x96162),x96163)),x96162))
% 184.03/183.91 [9621]E(f317(f317(f144(f900(x96211),x96211),f317(f317(f9(f900(x96211),a899,x96211),f154(x96211)),x96212)),f317(f126(f900(x96211),f317(f317(f10(a899,a895,f900(x96211)),f317(f225(a899),x96212)),f179(f900(x96211)))),f169(x96211,x96213))),f317(f317(f154(f900(x96211)),x96213),x96212))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x96211),a899),f179(f900(x96211))),x96213)))+~P1(f317(f317(f225(a899),x96212),f317(f179(f900(f900(x96211))),x96213)))
% 184.03/183.91 [9757]P52(x97571,x97572,x97573)+~P1(f317(f317(f319(f905(x97571,x97571)),f317(f317(f242(x97571,x97571),f547(x97573,x97572,x97571)),f547(x97573,x97572,x97571))),x97573))+~P1(f317(f317(f224(f906(f905(x97571,x97571),a895)),x97573),f317(f317(f244(x97571,x97571),x97572),f317(f18(f906(x97571,a895),x97571),x97572))))
% 184.03/183.91 [9758]P52(x97581,x97582,x97583)+~P1(f317(f317(f319(f905(x97581,x97581)),f317(f317(f242(x97581,x97581),f554(x97582,x97583,x97581)),f554(x97582,x97583,x97581))),x97583))+~P1(f317(f317(f224(f906(f905(x97581,x97581),a895)),x97583),f317(f317(f244(x97581,x97581),x97582),f317(f18(f906(x97581,a895),x97581),x97582))))
% 184.03/183.91 [9927]~P141(x99271)+~P126(x99271)+E(f317(f317(f281(x99271),f317(f93(x99271),f317(f317(f67(f905(a1,a1),a1,x99272,f241(a1,a1)),f202(x99272)),x99273))),f317(f93(x99271),f317(f317(f67(f905(a1,a1),a1,x99272,f246(a1,a1)),f202(x99272)),x99273))),f212(x99272,x99271,x99273))
% 184.03/183.91 [10130]~E(x101303,f2(a899))+~E(f317(f179(f900(x101301)),f317(f317(f154(f900(x101301)),x101302),f694(x101303,x101301,x101302))),x101303)+E(f317(f317(f144(a899,f900(x101301)),f317(f317(f9(a899,f900(a899),f900(x101301)),f317(f317(f10(f906(a899,x101301),f906(f900(a899),f900(x101301)),a899),f144(a899,x101301)),f317(f9(a899,a899,x101301),f317(f317(f10(f900(x101301),f906(a899,x101301),a899),f154(x101301)),f317(f154(f900(x101301)),x101302))))),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(f900(x101301))),x101302))))),f129(a899,f317(f292(a899,f2(a899)),x101303))),f169(x101301,x101302))
% 184.03/183.91 [10131]E(x101311,f103(f900(x101312)))+~E(f317(f179(f900(x101312)),f317(f317(f154(f900(x101312)),x101311),f694(x101313,x101312,x101311))),x101313)+E(f317(f317(f144(a899,f900(x101312)),f317(f317(f9(a899,f900(a899),f900(x101312)),f317(f317(f10(f906(a899,x101312),f906(f900(a899),f900(x101312)),a899),f144(a899,x101312)),f317(f9(a899,a899,x101312),f317(f317(f10(f900(x101312),f906(a899,x101312),a899),f154(x101312)),f317(f154(f900(x101312)),x101311))))),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(f900(x101312))),x101311))))),f129(a899,f317(f292(a899,f2(a899)),x101313))),f169(x101312,x101311))
% 184.03/183.91 [10132]~E(x101323,f2(a899))+E(f317(f317(f144(a899,f900(x101321)),f317(f317(f9(a899,f900(a899),f900(x101321)),f317(f317(f10(f906(a899,x101321),f906(f900(a899),f900(x101321)),a899),f144(a899,x101321)),f317(f9(a899,a899,x101321),f317(f317(f10(f900(x101321),f906(a899,x101321),a899),f154(x101321)),f317(f154(f900(x101321)),x101322))))),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(f900(x101321))),x101322))))),f129(a899,f317(f292(a899,f2(a899)),x101323))),f169(x101321,x101322))+P1(f317(f317(f225(a899),f694(x101323,x101321,x101322)),f317(f179(f900(f900(x101321))),x101322)))
% 184.03/183.91 [10133]E(x101331,f103(f900(x101332)))+E(f317(f317(f144(a899,f900(x101332)),f317(f317(f9(a899,f900(a899),f900(x101332)),f317(f317(f10(f906(a899,x101332),f906(f900(a899),f900(x101332)),a899),f144(a899,x101332)),f317(f9(a899,a899,x101332),f317(f317(f10(f900(x101332),f906(a899,x101332),a899),f154(x101332)),f317(f154(f900(x101332)),x101331))))),f129(a899,f317(f292(a899,f2(a899)),f317(f179(f900(f900(x101332))),x101331))))),f129(a899,f317(f292(a899,f2(a899)),x101333))),f169(x101332,x101331))+P1(f317(f317(f225(a899),f694(x101333,x101332,x101331)),f317(f179(f900(f900(x101332))),x101331)))
% 184.03/183.91 [7847]E(f317(f317(f74(a899),f317(f94(a899),x78471)),f317(f317(f74(a899),f317(f94(a899),x78472)),x78473)),f317(f317(f74(a899),f317(f94(a899),f317(f317(f74(a1),x78471),x78472))),x78473))+P1(f317(a183,f317(f94(a1),x78471)))+P1(f317(a183,f317(f94(a1),x78472)))
% 184.03/183.91 [8611]~P1(f317(f28(x86111),x86112))+~P1(f317(f317(f319(x86111),x86113),x86112))+E(f317(a102,f317(f29(x86111),f317(f317(f3(f906(x86111,a895)),x86112),f317(f317(f299(x86111),x86113),f178(f906(x86111,a895)))))),f317(f29(x86111),x86112))
% 184.03/183.91 [8627]~P1(f317(f28(x86271),x86272))+~P1(f317(f317(f319(x86271),x86273),x86272))+E(f317(f317(f74(a899),f72(a899)),f317(f29(x86271),f317(f317(f3(f906(x86271,a895)),x86272),f317(f317(f299(x86271),x86273),f178(f906(x86271,a895)))))),f317(f29(x86271),x86272))
% 184.03/183.91 [8714]~P107(x87141)+~P1(f317(f28(x87141),x87143))+E(f317(f317(f138(x87141,x87141,f7(x87141)),x87142),f129(x87141,f317(f317(f3(f906(x87141,a895)),x87143),f317(f317(f299(x87141),x87142),f178(f906(x87141,a895)))))),f129(x87141,f317(f317(f299(x87141),x87142),x87143)))
% 184.03/183.91 [8880]~P1(f317(f28(x88801),x88803))+~P1(f317(f28(x88801),x88802))+E(f317(f317(f74(a899),f317(f29(x88801),f317(f317(f91(f906(x88801,a895)),x88802),x88803))),f317(f29(x88801),f317(f317(f92(f906(x88801,a895)),x88802),x88803))),f317(f317(f74(a899),f317(f29(x88801),x88802)),f317(f29(x88801),x88803)))
% 184.03/183.91 [10079]~P24(x100791,f906(f906(x100791,a895),a895),f317(f317(f9(x100791,f906(f905(x100791,x100791),a895),f906(f906(x100791,a895),a895)),f317(f317(f10(f906(x100791,a895),f906(f906(f905(x100791,x100791),a895),f906(f906(x100791,a895),a895)),x100791),f55(x100791)),f317(f317(f9(x100791,f906(x100791,a895),f906(x100791,a895)),f299(x100791)),f178(f906(x100791,a895))))),x100793),x100792)+~P1(f317(f28(x100791),x100792))+E(f317(f29(f906(x100791,a895)),f317(f317(f55(x100791),x100792),x100793)),f317(f29(x100791),x100792))
% 184.03/183.91 [8116]~P93(x81161)+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81163)))+E(f317(f317(f234(x81161),x81162),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x81163),x81163)),a87))),f72(x81161))
% 184.03/183.91 [9598]~P93(x95981)+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95983)))+E(f317(f317(f234(x95981),x95982),f317(f94(a899),f317(f317(f3(a1),f317(f317(f74(a1),x95983),x95983)),a87))),f317(f317(f80(x95981,x95981),f317(f317(f234(x95981),x95982),f317(f94(a899),x95983))),f317(f317(f20(x95981,x95981,x95981),f317(f317(f10(x95981,f906(x95981,x95981),x95981),f75(x95981)),f317(f75(x95981),x95982))),f7(x95981))))
% 184.03/183.91 [9989]~P1(f317(f127(x99891),x99893))+~P1(f317(f317(f319(x99891),x99892),f317(f162(x99891),x99893)))+E(f317(f317(f128(x99891),f317(f179(f900(x99891)),f167(x99891,f317(f317(f10(a895,a895,x99891),a312),f317(f317(f9(x99891,x99891,a895),a314),x99892)),f317(f158(x99891),x99893)))),f317(f158(x99891),x99893)),f317(f317(f141(x99891),x99892),f317(f158(x99891),f167(x99891,f317(f317(f10(a895,a895,x99891),a312),f317(f317(f9(x99891,x99891,a895),a314),x99892)),x99893))))
% 184.03/183.91 [10049]P1(f317(f317(f224(f906(f905(x100491,x100491),a895)),f297(x100491,x100492)),x100493))+~P1(f317(f317(f224(f906(f905(x100491,x100491),a895)),f297(x100491,f178(f906(f905(x100491,x100491),a895)))),x100493))+~P1(f317(f317(f224(f906(f905(x100491,x100491),a895)),f317(f317(f279(x100491,x100491,x100491),f317(f317(f92(f906(f905(x100491,x100491),a895)),f297(x100491,x100492)),x100493)),x100492)),x100493))
% 184.03/183.91 [9907]~P1(f317(f28(x99071),f317(f252(x99071),x99073)))+~P1(f317(f28(x99071),f317(f252(x99071),x99072)))+P1(f317(f28(x99071),f317(f252(x99071),f317(f317(f20(x99071,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99071),a316),x99072)),x99073))))
% 184.03/183.91 [10195]P1(f317(f317(f224(f906(f905(x101951,x101951),a895)),f317(f317(f279(x101951,x101951,x101951),x101952),f297(x101951,x101952))),x101953))+~P1(f317(f317(f224(f906(f905(x101951,x101951),a895)),x101952),x101953))+~P1(f317(f317(f224(f906(f905(x101951,x101951),a895)),f317(f317(f279(x101951,x101951,x101951),f317(f317(f92(f906(f905(x101951,x101951),a895)),f317(f317(f279(x101951,x101951,x101951),x101952),f297(x101951,x101952))),x101953)),x101952)),x101953))
% 184.03/183.91 [10146]~P113(x101462)+E(x101461,f2(x101462))+~E(f317(f317(f74(x101462),f317(f317(f234(x101462),x101463),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101462),x101461),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101462))
% 184.03/183.91 [10147]~P113(x101472)+E(x101471,f2(x101472))+~E(f317(f317(f74(x101472),f317(f317(f234(x101472),x101471),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101472),x101473),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101472))
% 184.03/183.91 [10152]~P1(f317(f127(x101521),x101523))+~P1(f317(f317(f319(x101521),x101522),f317(f162(x101521),x101523)))+E(f317(f158(x101521),f317(f161(x101521),f317(f317(f128(x101521),f317(f179(f900(x101521)),f167(x101521,f317(f317(f10(a895,a895,x101521),a312),f317(f317(f9(x101521,x101521,a895),a314),x101522)),x101523))),x101523))),f167(x101521,f317(f317(f10(a895,a895,x101521),a312),f317(f317(f9(x101521,x101521,a895),a314),x101522)),f317(f158(x101521),x101523)))
% 184.03/183.91 [10240]~P113(x102402)+E(x102401,f2(x102402))+P1(f317(f317(f225(x102402),f2(x102402)),f317(f317(f74(x102402),f317(f317(f234(x102402),x102403),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102402),x102401),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 184.03/183.91 [10241]~P113(x102412)+E(x102411,f2(x102412))+P1(f317(f317(f225(x102412),f2(x102412)),f317(f317(f74(x102412),f317(f317(f234(x102412),x102411),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102412),x102413),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 184.03/183.91 [10302]~P113(x103021)+P1(f317(f317(f224(x103021),f2(x103021)),x103022))+~P1(f317(f317(f224(x103021),f2(x103021)),f317(f317(f234(x103021),x103022),f317(a102,f317(f317(f75(a899),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),x103023)))))
% 184.03/183.91 [5028]~E(x50282,f84(x50283,x50281))+P1(f317(x50281,x50282))+~P1(f317(x50281,x50284))
% 184.03/183.91 [5274]E(f62(x52743,x52742,x52744),x52742)+E(x52741,f720(x52742,x52743,x52744))+~P1(f317(x52744,x52741))
% 184.03/183.91 [6617]E(f62(x66171,x66172,x66173),f79(x66171,x66173))+~E(f756(x66172,x66171,x66173,x66174),x66174)+~P1(f317(x66173,x66174))
% 184.03/183.91 [6832]~P36(x68322,x68324)+~P36(x68321,x68323)+P36(f905(x68321,x68322),f309(x68321,x68322,x68323,x68324))
% 184.03/183.91 [6833]~P37(x68332,x68334)+~P37(x68331,x68333)+P37(f905(x68331,x68332),f309(x68331,x68332,x68333,x68334))
% 184.03/183.91 [5214]~P7(x52144,x52141)+~E(f317(x52141,x52142),f317(x52141,x52143))+P1(f317(f317(x52141,x52142),x52143))
% 184.03/183.91 [5373]~P7(x53734,x53731)+E(f317(x53731,x53732),f317(x53731,x53733))+~P1(f317(f317(x53731,x53732),x53733))
% 184.03/183.91 [5374]~P15(x53744,x53741)+E(f317(x53741,x53742),f317(x53741,x53743))+~P1(f317(f317(x53741,x53742),x53743))
% 184.03/183.91 [5468]~P18(x54683,x54684,x54681)+E(f317(x54681,x54682),f317(f57(x54683,x54684),x54682))+~P1(f317(f28(x54683),x54682))
% 184.03/183.91 [5469]~P9(x54693,x54694,x54691)+E(f317(x54691,x54692),f317(f57(x54693,x54694),x54692))+~P1(f317(f28(x54693),x54692))
% 184.03/183.91 [5596]~P7(x55964,x55961)+~P1(f317(f317(x55961,x55963),x55962))+P1(f317(f317(x55961,x55962),x55963))
% 184.03/183.91 [5597]~P50(x55974,x55971)+~P1(f317(f317(x55971,x55973),x55972))+P1(f317(f317(x55971,x55972),x55973))
% 184.03/183.91 [5598]~P15(x55984,x55981)+~P1(f317(f317(x55981,x55983),x55982))+P1(f317(f317(x55981,x55982),x55983))
% 184.03/183.91 [5599]~P15(x55993,x55991)+P1(f317(f317(x55991,x55992),x55992))+~P1(f317(f317(x55991,x55994),x55992))
% 184.03/183.91 [5600]~P15(x56003,x56001)+P1(f317(f317(x56001,x56002),x56002))+~P1(f317(f317(x56001,x56002),x56004))
% 184.03/183.91 [5670]E(x56701,x56702)+~E(f317(f241(x56703,x56704),x56701),f317(f241(x56703,x56704),x56702))+~E(f317(f246(x56703,x56704),x56701),f317(f246(x56703,x56704),x56702))
% 184.03/183.91 [5698]E(x56981,x56982)+~P1(f317(f43(x56983,x56984),x56982))+~P1(f317(f43(x56983,x56984),x56981))
% 184.03/183.91 [5898]~P70(x58982)+E(f221(x58981,x58982,x58983,x58984),f2(x58982))+P1(f317(f28(x58981),x58984))
% 184.03/183.91 [5946]~P7(x59463,x59462)+~P1(f317(x59461,x59464))+P1(f317(x59461,f805(x59461,x59462,x59463)))
% 184.03/183.91 [6044]~P1(f317(f305(x60441,x60442),x60444))+P1(f317(f305(x60441,x60442),x60443))+~P1(f317(f317(x60442,x60443),x60444))
% 184.03/183.91 [6869]~P28(x68691,x68693,x68694)+P1(f317(x68691,x68692))+~P1(f317(f317(f319(a1),x68692),f293(a1,x68693,x68694)))
% 184.03/183.91 [7065]~P7(x70651,x70653)+~P1(f317(x70652,x70654))+P1(f317(f317(f319(x70651),f805(x70652,x70653,x70651)),f260(x70651,x70653)))
% 184.03/183.91 [7957]E(x79571,f2(a899))+~P1(f317(x79572,x79573))+P1(f317(x79572,f751(x79572,x79573,x79571,x79574)))
% 184.03/183.91 [8039]~P107(x80392)+~P1(f317(f127(x80391),x80394))+P1(f317(f127(x80391),f140(x80391,x80392,x80393,x80394)))
% 184.03/183.91 [8083]E(f62(x80831,x80832,x80833),f79(x80831,x80833))+~P1(f317(x80833,x80834))+P1(f317(x80833,f756(x80832,x80831,x80833,x80834)))
% 184.03/183.91 [8265]~P1(f317(f28(x82652),x82654))+~P1(f317(f28(x82651),x82653))+P1(f317(f28(f904(x82651,x82652)),f303(x82651,x82652,x82653,x82654)))
% 184.03/183.91 [8266]~P1(f317(f127(x82662),x82664))+~P1(f317(f127(x82661),x82663))+P1(f317(f127(f905(x82661,x82662)),f54(x82661,x82662,x82663,x82664)))
% 184.03/183.91 [8269]P1(f317(f317(f319(f900(x82691)),f317(f317(f124(x82691),x82692),x82693)),f151(x82691,x82694)))+~P1(f317(f317(f319(f900(x82691)),x82693),f151(x82691,x82694)))+~P1(f317(f317(f319(f900(x82691)),x82692),f151(x82691,x82694)))
% 184.03/183.91 [8549]E(x85491,f2(a899))+P1(f317(x85492,x85493))+~P1(f317(x85492,f752(x85492,x85493,x85491,x85494)))
% 184.03/183.91 [8586]~P107(x85863)+~P1(f317(f127(x85861),f140(x85861,x85863,x85864,x85862)))+P1(f317(f127(x85861),x85862))
% 184.03/183.91 [8869]~P1(f317(f317(f319(f905(x88691,x88691)),f317(f317(f242(x88691,x88691),x88692),x88694)),f297(x88691,x88693)))+P1(f317(f317(f319(x88691),x88692),f306(x88691,x88693)))+~P1(f317(f317(f319(x88691),x88694),f306(x88691,x88693)))
% 184.03/183.91 [5198]~P70(x51982)+E(f317(f317(f8(x51981,x51982),x51983),x51984),f2(x51982))+P1(f317(f28(x51981),x51984))
% 184.03/183.91 [5201]~P74(x52012)+E(f317(f317(f11(x52011,x52012),x52013),x52014),f72(x52012))+P1(f317(f28(x52011),x52014))
% 184.03/183.91 [5336]~P71(x53363)+E(x53361,x53362)+~E(f317(f317(f74(x53363),x53364),x53361),f317(f317(f74(x53363),x53364),x53362))
% 184.03/183.91 [5337]~P72(x53373)+E(x53371,x53372)+~E(f317(f317(f74(x53373),x53374),x53371),f317(f317(f74(x53373),x53374),x53372))
% 184.03/183.91 [5339]~P71(x53393)+E(x53391,x53392)+~E(f317(f317(f74(x53393),x53391),x53394),f317(f317(f74(x53393),x53392),x53394))
% 184.03/183.91 [5435]~P123(x54351)+~E(x54353,f317(f317(f75(x54351),x54352),x54354))+P1(f317(f317(f277(x54351),x54352),x54353))
% 184.03/183.91 [5463]~P5(x54633)+E(x54631,f178(f906(x54632,a895)))+E(f317(f317(f34(x54632,x54633),x54631),f317(f18(x54633,x54632),x54634)),x54634)
% 184.03/183.91 [5464]~P5(x54643)+E(x54641,f178(f906(x54642,a895)))+E(f317(f317(f35(x54642,x54643),x54641),f317(f18(x54643,x54642),x54644)),x54644)
% 184.03/183.91 [5684]~P109(x56843)+E(x56841,x56842)+~E(f293(x56843,x56844,x56841),f317(f317(f299(x56843),x56842),f178(f906(x56843,a895))))
% 184.03/183.91 [5685]~P109(x56853)+E(x56851,x56852)+~E(f293(x56853,x56851,x56852),f317(f317(f299(x56853),x56854),f178(f906(x56853,a895))))
% 184.03/183.91 [5745]~P34(x57453,x57451,x57454)+P34(x57453,x57451,f317(f317(f141(x57453),x57452),x57454))+P1(f317(x57451,x57452))
% 184.03/183.91 [5847]~P30(x58471,x58472,x58474)+~P1(f317(x58472,x58473))+P30(x58471,x58472,f317(f317(f141(x58471),x58473),x58474))
% 184.03/183.91 [5999]P1(f317(x59991,x59992))+~P1(f317(f238(x59993,x59991),x59994))+~P1(f317(f317(f319(x59993),x59992),x59994))
% 184.03/183.91 [6008]~P30(x60081,x60082,x60084)+~P30(x60081,x60082,x60083)+P30(x60081,x60082,f317(f317(f124(x60081),x60083),x60084))
% 184.03/183.91 [6023]P32(x60231,x60232,x60233)+~P32(x60231,x60232,f317(f317(f141(x60231),x60234),x60233))+P1(f317(x60232,x60234))
% 184.03/183.91 [6024]P34(x60241,x60242,x60243)+~P34(x60241,x60242,f317(f317(f141(x60241),x60244),x60243))+P1(f317(x60242,x60244))
% 184.03/183.91 [6099]P32(x60991,x60992,x60993)+P32(x60991,x60992,x60994)+~P32(x60991,x60992,f317(f317(f124(x60991),x60994),x60993))
% 184.03/183.91 [6120]~P70(x61201)+E(f317(f317(f8(a899,x61201),x61202),f317(f292(a899,x61203),f317(a102,x61204))),f2(x61201))+~P1(f317(f317(f225(a899),x61204),x61203))
% 184.03/183.91 [6125]~P4(x61251)+~E(f40(x61251,x61252,x61253),f40(x61251,x61254,x61253))+E(f40(x61251,f317(f73(x61251),x61252),x61253),f40(x61251,f317(f73(x61251),x61254),x61253))
% 184.03/183.91 [6193]P1(f317(x61931,x61932))+~E(f317(f126(x61933,x61931),x61934),x61934)+~P1(f317(f317(f319(x61933),x61932),f317(f162(x61933),x61934)))
% 184.03/183.91 [6213]~E(f317(f317(f74(a899),x62133),x62132),f317(f317(f74(a899),x62131),x62134))+~P1(f317(f317(f225(a899),x62133),x62134))+P1(f317(f317(f225(a899),x62131),x62132))
% 184.03/183.91 [6219]P32(x62191,x62192,x62193)+~P1(f317(x62192,x62194))+~P1(f317(f317(f319(x62191),x62194),f317(f162(x62191),x62193)))
% 184.03/183.91 [6222]~P3(x62221)+E(f40(x62221,f40(x62221,x62222,x62223),x62224),f40(x62221,x62222,x62224))+~P1(f317(f317(f277(x62221),x62224),x62223))
% 184.03/183.91 [6262]~P30(x62623,x62621,x62624)+P1(f317(x62621,x62622))+~P1(f317(f317(f319(x62623),x62622),f317(f162(x62623),x62624)))
% 184.03/183.91 [6264]~E(f317(f126(x62641,x62642),x62643),f103(x62641))+~P1(f317(x62642,x62644))+~P1(f317(f317(f319(x62641),x62644),f317(f162(x62641),x62643)))
% 184.03/183.91 [6265]~E(f167(x62653,x62651,x62654),x62654)+P1(f317(x62651,x62652))+~P1(f317(f317(f319(x62653),x62652),f317(f162(x62653),x62654)))
% 184.03/183.91 [6292]~E(x62924,f178(f906(x62922,a895)))+~E(x62923,f178(f906(x62921,a895)))+E(f303(x62921,x62922,x62923,x62924),f178(f906(f904(x62921,x62922),a895)))
% 184.03/183.91 [6444]P1(f317(x64441,x64442))+~P1(f317(f150(x64443,x64441),x64444))+~P1(f317(f317(f319(x64443),x64442),f317(f162(x64443),x64444)))
% 184.03/183.91 [6586]~P29(x65861,x65863,x65864)+P1(f317(x65861,x65862))+~P1(f317(f317(f319(a899),x65862),f317(f292(a899,x65863),x65864)))
% 184.03/183.91 [6725]~P70(x67251)+E(f317(f317(f8(a899,x67251),x67252),f293(a899,x67253,f317(a102,x67254))),f2(x67251))+~P1(f317(f317(f225(a899),f317(a102,x67254)),x67253))
% 184.03/183.91 [6872]~P107(x68721)+E(f317(f317(f3(f906(x68721,a895)),f317(f292(x68721,x68722),x68723)),f317(f292(x68721,x68722),x68724)),f317(f292(x68721,x68724),x68723))+~P1(f317(f317(f224(x68721),x68722),x68724))
% 184.03/183.91 [6943]~E(x69433,x69434)+E(x69431,f2(a899))+P1(f317(f317(f319(x69432),x69433),f317(f162(x69432),f159(x69432,x69431,x69434))))
% 184.03/183.91 [7228]~P1(f317(f317(f319(f900(x72281)),x72284),f151(x72281,x72283)))+P1(f317(f317(f319(x72281),x72282),x72283))+~P1(f317(f317(f319(x72281),x72282),f317(f162(x72281),x72284)))
% 184.03/183.91 [7235]~P36(x72351,x72352)+P1(f317(f317(f319(x72351),f593(x72352,x72351,x72353)),x72353))+~P1(f317(f317(f319(x72351),x72354),x72353))
% 184.03/183.91 [7292]~P70(x72921)+E(f317(f317(f317(f59(x72921,x72922,f74(x72921)),x72923),f2(x72921)),x72924),f317(f317(f8(x72922,x72921),x72923),x72924))+~P1(f317(f28(x72922),x72924))
% 184.03/183.91 [7294]~P74(x72941)+E(f317(f317(f317(f59(x72941,x72942,f75(x72941)),x72943),f72(x72941)),x72944),f317(f317(f11(x72942,x72941),x72943),x72944))+~P1(f317(f28(x72942),x72944))
% 184.03/183.91 [7321]P24(x73211,x73212,x73213,x73214)+~E(f317(f29(x73212),f317(f300(x73211,x73212,x73213),x73214)),f317(f29(x73211),x73214))+~P1(f317(f28(x73211),x73214))
% 184.03/183.91 [7515]~P70(x75151)+E(f317(f317(f74(x75151),f317(x75152,x75153)),f317(f317(f8(a899,x75151),x75152),f295(a899,x75153,x75154))),f317(f317(f8(a899,x75151),x75152),f293(a899,x75153,x75154)))+~P1(f317(f317(f224(a899),x75153),x75154))
% 184.03/183.91 [7524]~P70(x75241)+~P24(x75242,x75241,x75243,x75244)+E(f317(f317(f8(x75241,x75241),f25(x75241)),f317(f300(x75242,x75241,x75243),x75244)),f317(f317(f8(x75242,x75241),x75243),x75244))
% 184.03/183.91 [7525]~P74(x75251)+~P24(x75252,x75251,x75253,x75254)+E(f317(f317(f11(x75251,x75251),f25(x75251)),f317(f300(x75252,x75251,x75253),x75254)),f317(f317(f11(x75252,x75251),x75253),x75254))
% 184.03/183.91 [7573]E(f317(f29(f904(x75731,x75732)),f303(x75731,x75732,x75733,x75734)),f317(f317(f74(a899),f317(f29(x75731),x75733)),f317(f29(x75732),x75734)))+~P1(f317(f28(x75732),x75734))+~P1(f317(f28(x75731),x75733))
% 184.03/183.91 [7657]E(x76571,x76572)+P1(f317(f317(f319(x76573),x76571),f317(f162(x76573),f160(x76573,x76572,x76574))))+~P1(f317(f317(f319(x76573),x76571),f317(f162(x76573),x76574)))
% 184.03/183.91 [7887]~P70(x78871)+E(f317(f317(f74(x78871),f317(f317(f8(a899,x78871),x78872),f317(f292(a899,x78873),x78874))),f317(x78872,x78874)),f317(f317(f8(a899,x78871),x78872),f317(f292(a899,x78873),f317(a102,x78874))))+P1(f317(f317(f225(a899),x78874),x78873))
% 184.03/183.91 [7937]~P24(x79371,x79372,x79373,f232(f906(x79371,a895)))+~P1(f317(f28(x79372),x79374))+P1(f317(f28(x79371),f317(f301(x79371,x79372,x79373),x79374)))
% 184.03/183.91 [8054]P1(f317(f317(f319(f900(x80541)),f317(f317(f141(x80541),x80542),x80543)),f151(x80541,x80544)))+~P1(f317(f317(f319(f900(x80541)),x80543),f151(x80541,x80544)))+~P1(f317(f317(f319(x80541),x80542),x80544))
% 184.03/183.91 [8140]~E(f317(f300(x81403,x81401,x81404),f232(f906(x81403,a895))),f232(f906(x81401,a895)))+P1(f317(f28(x81401),x81402))+~P1(f317(f28(x81403),f317(f301(x81403,x81401,x81404),x81402)))
% 184.03/183.91 [8235]~P24(x82351,x82353,x82354,x82352)+P1(f317(f28(x82351),x82352))+~P1(f317(f28(x82353),f317(f300(x82351,x82353,x82354),x82352)))
% 184.03/183.91 [8259]~E(x82592,x82593)+P1(f317(f317(f319(f905(x82591,x82591)),f317(f317(f242(x82591,x82591),x82592),x82593)),f253(x82591,x82594)))+~P1(f317(f317(f319(x82591),x82592),x82594))
% 184.03/183.91 [8292]~P70(x82921)+E(f317(f317(f74(x82921),f317(f317(f8(a899,x82921),x82922),f293(a899,x82923,x82924))),f317(x82922,f317(a102,x82924))),f317(f317(f8(a899,x82921),x82922),f293(a899,x82923,f317(a102,x82924))))+P1(f317(f317(f225(a899),f317(a102,x82924)),x82923))
% 184.03/183.91 [8352]P1(f317(x83521,x83522))+~P1(f317(x83521,f317(f317(f154(x83523),x83524),f642(x83521,x83524,x83523))))+~P1(f317(f317(f319(x83523),x83522),f317(f162(x83523),x83524)))
% 184.03/183.91 [8493]~P1(f317(f317(f319(x84931),x84932),f306(x84931,x84934)))+P1(f317(f317(f319(f900(x84931)),f317(f317(f141(x84931),x84932),x84933)),f306(f900(x84931),f147(x84931,x84934))))+~P1(f317(f317(f319(f900(x84931)),x84933),f306(f900(x84931),f147(x84931,x84934))))
% 184.03/183.91 [8508]~P24(x85082,x85083,x85084,f521(x85084,x85083,x85082,x85081))+P24(x85082,x85083,x85084,f32(f906(x85082,a895),x85081))+E(x85081,f178(f906(f906(x85082,a895),a895)))
% 184.03/183.91 [8778]E(x87781,x87782)+~P1(f317(f317(f319(f905(x87783,x87783)),f317(f317(f242(x87783,x87783),x87781),x87782)),f297(x87783,x87784)))+P1(f317(f317(f319(x87783),x87781),f317(f254(x87783,x87783),x87784)))
% 184.03/183.91 [9056]E(x90561,f2(a899))+P1(f317(x90562,x90563))+P1(f317(f317(f319(x90564),f752(x90562,x90563,x90561,x90564)),f317(f162(x90564),f159(x90564,x90561,x90563))))
% 184.03/183.91 [9068]E(x90681,f2(a899))+~P1(f317(x90683,x90684))+P1(f317(f317(f319(x90682),f751(x90683,x90684,x90681,x90682)),f317(f162(x90682),f159(x90682,x90681,x90684))))
% 184.03/183.91 [9070]~P25(x90701,x90702,x90703,f232(f906(x90701,a895)),f232(f906(x90702,a895)))+~P1(f317(f28(x90702),x90704))+P1(f317(f28(x90701),f317(f301(x90701,x90702,x90703),x90704)))
% 184.03/183.91 [9073]P24(x90732,x90733,x90734,f32(f906(x90732,a895),x90731))+E(x90731,f178(f906(f906(x90732,a895),a895)))+P1(f317(f317(f319(f906(x90732,a895)),f521(x90734,x90733,x90732,x90731)),x90731))
% 184.03/183.91 [9188]~P25(x91883,x91881,x91884,f232(f906(x91883,a895)),f232(f906(x91881,a895)))+P1(f317(f28(x91881),x91882))+~P1(f317(f28(x91883),f317(f301(x91883,x91881,x91884),x91882)))
% 184.03/183.91 [9205]P1(f317(f28(x92051),x92052))+~P1(f317(f28(x92054),f317(f300(x92051,x92054,x92053),x92052)))+P1(f317(f317(f319(x92051),f561(x92053,x92054,x92052,x92051)),x92052))
% 184.03/183.91 [9300]~P5(x93002)+E(f317(f317(f58(x93001,x93002,f317(f317(f10(x93002,f906(x93002,x93002),x93001),f92(x93002)),x93003)),f232(x93002)),x93004),f317(f317(f34(x93001,x93002),x93004),x93003))+~P1(f317(f28(x93001),x93004))
% 184.03/183.91 [9301]~P5(x93012)+E(f317(f317(f58(x93011,x93012,f317(f317(f10(x93012,f906(x93012,x93012),x93011),f91(x93012)),x93013)),f178(x93012)),x93014),f317(f317(f35(x93011,x93012),x93014),x93013))+~P1(f317(f28(x93011),x93014))
% 184.03/183.91 [9331]~P1(f317(f317(f277(a899),x93313),x93314))+P1(f317(f317(f277(a899),x93311),x93312))+P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x93311,x93312)),f280(a899,f277(a899),x93313,x93314)))
% 184.03/183.91 [9344]~P1(f317(f317(f277(a899),x93442),x93444))+~P1(f317(f317(f277(a899),x93443),x93441))+P1(f317(f317(f224(f906(a899,a895)),f280(a899,f277(a899),x93441,x93442)),f280(a899,f277(a899),x93443,x93444)))
% 184.03/183.91 [9387]P1(f317(x93871,x93872))+~P1(f317(x93871,f317(f317(f154(x93873),x93874),f680(x93872,x93871,x93874,x93873))))+~P1(f317(f317(f319(x93873),x93872),f317(f162(x93873),x93874)))
% 184.03/183.91 [9409]E(x94091,x94092)+~P1(f317(f317(f319(f905(x94093,x94093)),f317(f317(f242(x94093,x94093),x94091),x94092)),f297(x94093,x94094)))+P1(f317(f317(f319(f905(x94093,x94093)),f317(f317(f242(x94093,x94093),x94091),x94092)),f317(f317(f279(x94093,x94093,x94093),x94094),f297(x94093,x94094))))
% 184.03/183.91 [9459]~E(f317(f179(f900(x94591)),x94592),f317(f179(f900(x94591)),x94593))+~P1(f317(f317(f319(f905(f900(x94591),f900(x94591))),f317(f317(f242(f900(x94591),f900(x94591)),x94592),x94593)),f137(x94591,x94594)))+P1(f317(f317(f319(f905(f900(x94591),f900(x94591))),f317(f317(f242(f900(x94591),f900(x94591)),x94592),x94593)),f135(x94591,x94594)))
% 184.03/183.91 [9582]P1(f317(f317(f277(a899),x95821),x95822))+~P1(f317(f317(f277(a899),x95823),x95821))+~P1(f317(f317(f224(f906(a899,a895)),f280(a899,f277(a899),x95823,x95821)),f280(a899,f277(a899),x95824,x95822)))
% 184.03/183.91 [9583]P1(f317(f317(f277(a899),x95831),x95832))+~P1(f317(f317(f277(a899),x95833),x95831))+~P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x95833,x95831)),f280(a899,f277(a899),x95834,x95832)))
% 184.03/183.91 [9584]P1(f317(f317(f277(a899),x95841),x95842))+~P1(f317(f317(f277(a899),x95842),x95843))+~P1(f317(f317(f224(f906(a899,a895)),f280(a899,f277(a899),x95842,x95843)),f280(a899,f277(a899),x95841,x95844)))
% 184.03/183.91 [9585]P1(f317(f317(f277(a899),x95851),x95852))+~P1(f317(f317(f277(a899),x95852),x95853))+~P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x95852,x95853)),f280(a899,f277(a899),x95851,x95854)))
% 184.03/183.91 [9705]P30(x97051,f317(f317(f20(x97051,a895,a895),f317(f317(f10(a895,f906(a895,a895),x97051),a316),f317(f317(f10(a895,a895,x97051),a312),x97052))),f317(a314,x97053)),x97054)+~P1(f317(x97052,x97053))+~P34(x97051,x97052,f317(f317(f141(x97051),x97053),x97054))
% 184.03/183.91 [9870]~P30(x98701,f317(f317(f20(x98701,a895,a895),f317(f317(f10(a895,f906(a895,a895),x98701),a316),f317(f317(f10(a895,a895,x98701),a312),x98702))),f317(a314,x98703)),x98704)+~P1(f317(x98702,x98703))+P34(x98701,x98702,f317(f317(f141(x98701),x98703),x98704))
% 184.03/183.91 [9874]~P34(x98741,x98742,x98744)+~P30(x98741,f317(f317(f20(x98741,a895,a895),f317(f317(f10(a895,f906(a895,a895),x98741),a316),f317(f317(f10(a895,a895,x98741),a312),x98742))),f317(a314,x98743)),x98744)+P34(x98741,x98742,f317(f317(f141(x98741),x98743),x98744))
% 184.03/183.91 [9908]~P67(x99081)+E(f317(f317(f8(a899,x99081),f317(f317(f20(a899,x99081,x99081),f317(f317(f10(x99081,f906(x99081,x99081),a899),f3(x99081)),x99082)),f317(f317(f10(a899,x99081,a899),x99082),f317(f317(f9(a899,a899,a899),f74(a899)),f72(a899))))),f293(a899,x99083,x99084)),f2(x99081))+P1(f317(f317(f224(a899),x99083),x99084))
% 184.03/183.91 [10145]~P36(x101452,x101454)+~P24(x101452,x101451,x101453,f232(f906(x101452,a895)))+P36(x101451,f317(f300(f905(x101452,x101452),f905(x101451,x101451),f248(x101452,x101451,x101452,x101451,x101453,x101453)),x101454))
% 184.03/183.91 [10337]~E(f317(f179(f900(x103371)),x103373),f317(f179(f900(x103371)),x103372))+P1(f317(f317(f319(f905(f900(x103371),f900(x103371))),f317(f317(f242(f900(x103371),f900(x103371)),x103372),x103373)),f148(x103371,x103374)))+~P1(f317(f317(f247(x103371,x103371,a895),f317(f317(f9(x103371,f906(f905(x103371,x103371),a895),f906(x103371,a895)),f317(f317(f10(f906(x103371,f906(f906(f905(x103371,x103371),a895),a895)),f906(f906(f905(x103371,x103371),a895),f906(x103371,a895)),x103371),f9(x103371,f906(f905(x103371,x103371),a895),a895)),f317(f317(f10(f906(x103371,f905(x103371,x103371)),f906(x103371,f906(f906(f905(x103371,x103371),a895),a895)),x103371),f317(f10(f905(x103371,x103371),f906(f906(f905(x103371,x103371),a895),a895),x103371),f319(f905(x103371,x103371)))),f242(x103371,x103371)))),x103374)),f646(x103374,x103373,x103372,x103371)))
% 184.03/183.91 [6174]~P3(x61741)+~E(x61742,f2(x61741))+E(f317(f317(f30(x61741),f317(f317(f75(x61741),x61742),x61743)),f317(f317(f75(x61741),x61742),x61744)),f2(x61741))
% 184.03/183.91 [6216]E(x62161,f103(x62162))+E(x62163,f317(f317(f3(a899),f317(f179(f900(x62162)),x62161)),f72(a899)))+E(f134(x62162,f317(f317(f149(x62162,x62161),x62163),x62164)),f134(x62162,x62161))
% 184.03/183.91 [6253]E(x62531,x62532)+P1(f317(x62533,x62532))+~P1(f317(f317(f317(f299(x62534),x62531),x62533),x62532))
% 184.03/183.91 [6269]~P70(x62691)+~P1(f317(f127(x62692),x62694))+E(f317(f155(x62691),f317(f317(f144(x62692,x62691),x62693),x62694)),f317(f317(f8(x62692,x62691),x62693),f317(f162(x62692),x62694)))
% 184.03/183.91 [6285]~P74(x62852)+~P1(f317(f28(x62851),x62854))+E(f317(f317(f11(x62851,x62852),f317(f18(x62852,x62851),x62853)),x62854),f317(f317(f234(x62852),x62853),f317(f29(x62851),x62854)))
% 184.03/183.91 [6340]~P61(x63402)+E(x63401,f2(x63402))+E(f317(f317(f281(x63402),f317(f317(f75(x63402),x63403),x63401)),f317(f317(f75(x63402),x63404),x63401)),f317(f317(f281(x63402),x63403),x63404))
% 184.03/183.91 [6341]~P61(x63412)+E(x63411,f2(x63412))+E(f317(f317(f281(x63412),f317(f317(f75(x63412),x63411),x63413)),f317(f317(f75(x63412),x63411),x63414)),f317(f317(f281(x63412),x63413),x63414))
% 184.03/183.91 [6342]~P3(x63422)+E(x63421,f2(x63422))+E(f317(f317(f30(x63422),f317(f317(f75(x63422),x63423),x63421)),f317(f317(f75(x63422),x63424),x63421)),f317(f317(f30(x63422),x63423),x63424))
% 184.03/183.91 [6344]~P3(x63442)+E(x63441,f2(x63442))+E(f317(f317(f30(x63442),f317(f317(f75(x63442),x63441),x63443)),f317(f317(f75(x63442),x63441),x63444)),f317(f317(f30(x63442),x63443),x63444))
% 184.03/183.91 [6413]P1(f317(x64131,x64132))+~E(x64133,f317(f317(f74(a899),x64134),x64132))+~P1(f317(x64131,f317(f317(f3(a899),x64133),x64134)))
% 184.03/183.91 [6499]~P1(f317(x64992,x64993))+~P1(f317(f150(x64991,x64992),x64994))+P1(f317(f150(x64991,x64992),f317(f317(f141(x64991),x64993),x64994)))
% 184.03/183.91 [6540]E(x65401,f103(x65402))+~E(x65403,f317(f317(f3(a899),f317(f179(f900(x65402)),x65401)),f72(a899)))+E(f134(x65402,f317(f317(f149(x65402,x65401),x65403),x65404)),x65404)
% 184.03/183.91 [6563]~P97(x65631)+~P1(f317(f317(f224(x65631),x65632),x65634))+P1(f317(f317(f224(x65631),x65632),f317(f317(f91(x65631),x65633),x65634)))
% 184.03/183.91 [6564]~P97(x65641)+~P1(f317(f317(f224(x65641),x65642),x65643))+P1(f317(f317(f224(x65641),x65642),f317(f317(f91(x65641),x65643),x65644)))
% 184.03/183.91 [6566]~P107(x65661)+~P1(f317(f317(f224(x65661),x65662),x65664))+P1(f317(f317(f224(x65661),x65662),f317(f317(f223(x65661),x65663),x65664)))
% 184.03/183.91 [6568]~P107(x65681)+~P1(f317(f317(f224(x65681),x65682),x65683))+P1(f317(f317(f224(x65681),x65682),f317(f317(f223(x65681),x65683),x65684)))
% 184.03/183.91 [6569]~P97(x65691)+~P1(f317(f317(f225(x65691),x65692),x65694))+P1(f317(f317(f225(x65691),x65692),f317(f317(f91(x65691),x65693),x65694)))
% 184.03/183.91 [6570]~P97(x65701)+~P1(f317(f317(f225(x65701),x65702),x65703))+P1(f317(f317(f225(x65701),x65702),f317(f317(f91(x65701),x65703),x65704)))
% 184.03/183.91 [6572]~P107(x65721)+~P1(f317(f317(f225(x65721),x65722),x65724))+P1(f317(f317(f225(x65721),x65722),f317(f317(f223(x65721),x65723),x65724)))
% 184.03/183.91 [6574]~P107(x65741)+~P1(f317(f317(f225(x65741),x65742),x65743))+P1(f317(f317(f225(x65741),x65742),f317(f317(f223(x65741),x65743),x65744)))
% 184.03/183.91 [6575]~P120(x65751)+~P1(f317(f317(f277(x65751),x65752),x65754))+P1(f317(f317(f277(x65751),x65752),f317(f317(f75(x65751),x65753),x65754)))
% 184.03/183.91 [6576]~P120(x65761)+~P1(f317(f317(f277(x65761),x65762),x65763))+P1(f317(f317(f277(x65761),x65762),f317(f317(f75(x65761),x65763),x65764)))
% 184.03/183.91 [6669]~E(f317(f317(f154(x66691),x66692),x66693),x66694)+E(f317(f317(f149(x66691,x66692),x66693),x66694),x66692)+~P1(f317(f317(f225(a899),x66693),f317(f179(f900(x66691)),x66692)))
% 184.03/183.91 [6709]P1(f317(x67091,x67092))+~P1(f317(x67093,x67092))+~P1(f317(f317(f224(f906(x67094,a895)),x67093),x67091))
% 184.03/183.91 [6744]~E(f317(f317(f149(x67441,x67442),x67443),x67444),x67442)+E(f317(f317(f154(x67441),x67442),x67443),x67444)+~P1(f317(f317(f225(a899),x67443),f317(f179(f900(x67441)),x67442)))
% 184.03/183.91 [6758]~P1(f317(f150(x67581,x67582),x67584))+~P1(f317(f150(x67581,x67582),x67583))+P1(f317(f150(x67581,x67582),f317(f317(f124(x67581),x67583),x67584)))
% 184.03/183.91 [6868]E(x68681,f178(f906(x68682,a895)))+E(x68683,f178(f906(x68684,a895)))+~E(f317(f317(f244(x68684,x68682),x68683),f317(f18(f906(x68682,a895),x68684),x68681)),f178(f906(f905(x68684,x68682),a895)))
% 184.03/183.91 [6888]E(x68881,x68882)+P1(f317(f317(f319(x68883),x68881),x68884))+~P1(f317(f317(f319(x68883),x68881),f317(f317(f299(x68883),x68882),x68884)))
% 184.03/183.91 [6905]~P107(x69051)+P1(f317(f317(f224(x69051),x69052),x69053))+~P1(f317(f317(f224(x69051),x69052),f317(f317(f228(x69051),x69054),x69053)))
% 184.03/183.91 [6907]~P107(x69071)+P1(f317(f317(f224(x69071),x69072),x69073))+~P1(f317(f317(f224(x69071),x69072),f317(f317(f228(x69071),x69073),x69074)))
% 184.03/183.91 [6909]~P103(x69091)+P1(f317(f317(f224(x69091),x69092),x69093))+~P1(f317(f317(f224(x69091),x69092),f317(f317(f92(x69091),x69094),x69093)))
% 184.03/183.91 [6911]~P103(x69111)+P1(f317(f317(f224(x69111),x69112),x69113))+~P1(f317(f317(f224(x69111),x69112),f317(f317(f92(x69111),x69113),x69114)))
% 184.03/183.91 [6912]~P107(x69121)+P1(f317(f317(f225(x69121),x69122),x69123))+~P1(f317(f317(f225(x69121),x69122),f317(f317(f228(x69121),x69124),x69123)))
% 184.03/183.91 [6913]~P107(x69131)+P1(f317(f317(f225(x69131),x69132),x69133))+~P1(f317(f317(f225(x69131),x69132),f317(f317(f228(x69131),x69133),x69134)))
% 184.03/183.91 [6934]~E(f317(f317(f154(x69341),x69343),x69344),x69342)+P1(f317(f317(f319(x69341),x69342),f317(f162(x69341),x69343)))+~P1(f317(f317(f225(a899),x69344),f317(f179(f900(x69341)),x69343)))
% 184.03/183.91 [6944]~P107(x69441)+~P13(x69441,f317(f317(f141(x69441),x69442),f317(f317(f141(x69441),x69443),x69444)))+P1(f317(f317(f224(x69441),x69442),x69443))
% 184.03/183.91 [7093]~P30(x70932,x70931,x70933)+P1(f317(x70931,f317(f317(f154(x70932),x70933),x70934)))+~P1(f317(f317(f225(a899),x70934),f317(f179(f900(x70932)),x70933)))
% 184.03/183.91 [7111]E(x71111,f2(a1))+E(f317(f317(f30(a1),x71112),x71111),x71113)+~P1(f317(f44(x71112,x71111),f317(f317(f242(a1,a1),x71113),x71114)))
% 184.03/183.91 [7133]E(f40(a1,x71332,x71331),x71333)+E(x71331,f2(a1))+~P1(f317(f44(x71332,x71331),f317(f317(f242(a1,a1),x71334),x71333)))
% 184.03/183.91 [7252]P1(f317(f317(f319(x72521),x72522),x72523))+~P1(f317(f317(f319(x72521),x72522),x72524))+~P1(f317(f317(f225(f906(x72521,a895)),x72524),x72523))
% 184.03/183.91 [7253]P1(f317(f317(f319(x72531),x72532),x72533))+~P1(f317(f317(f319(x72531),x72532),x72534))+~P1(f317(f317(f224(f906(x72531,a895)),x72534),x72533))
% 184.03/183.91 [7264]~P122(x72641)+~E(x72643,f2(x72641))+P1(f317(f317(f277(x72641),f317(f317(f75(x72641),x72642),x72643)),f317(f317(f75(x72641),x72644),x72643)))
% 184.03/183.91 [7265]~P122(x72651)+~E(x72652,f2(x72651))+P1(f317(f317(f277(x72651),f317(f317(f75(x72651),x72652),x72653)),f317(f317(f75(x72651),x72652),x72654)))
% 184.03/183.91 [7365]P32(x73651,x73652,x73653)+~P1(f317(x73652,f317(f317(f154(x73651),x73653),x73654)))+~P1(f317(f317(f225(a899),x73654),f317(f179(f900(x73651)),x73653)))
% 184.03/183.91 [7480]~P108(x74802)+~P1(f317(f317(f225(f906(x74801,x74802)),x74803),x74804))+P1(f317(f317(f224(f906(x74801,x74802)),x74803),x74804))
% 184.03/183.91 [7604]~P1(f317(f317(f319(x76041),x76042),x76044))+P1(f317(f317(f319(x76041),x76042),f31(f906(x76041,a895),x76043)))+~P1(f317(f317(f319(f906(x76041,a895)),x76044),x76043))
% 184.03/183.91 [7606]~P120(x76061)+~P1(f317(f317(f224(a899),x76063),x76064))+P1(f317(f317(f277(x76061),f317(f317(f234(x76061),x76062),x76063)),f317(f317(f234(x76061),x76062),x76064)))
% 184.03/183.91 [7634]~P83(x76341)+~P1(f317(f317(f224(x76341),x76343),x76344))+P1(f317(f317(f224(x76341),f317(f317(f74(x76341),x76342),x76343)),f317(f317(f74(x76341),x76342),x76344)))
% 184.03/183.91 [7635]~P84(x76351)+~P1(f317(f317(f224(x76351),x76353),x76354))+P1(f317(f317(f224(x76351),f317(f317(f74(x76351),x76352),x76353)),f317(f317(f74(x76351),x76352),x76354)))
% 184.03/183.91 [7636]~P83(x76361)+~P1(f317(f317(f224(x76361),x76362),x76364))+P1(f317(f317(f224(x76361),f317(f317(f74(x76361),x76362),x76363)),f317(f317(f74(x76361),x76364),x76363)))
% 184.03/183.91 [7637]~P84(x76371)+~P1(f317(f317(f224(x76371),x76372),x76374))+P1(f317(f317(f224(x76371),f317(f317(f74(x76371),x76372),x76373)),f317(f317(f74(x76371),x76374),x76373)))
% 184.03/183.91 [7638]~P82(x76381)+~P1(f317(f317(f225(x76381),x76383),x76384))+P1(f317(f317(f225(x76381),f317(f317(f74(x76381),x76382),x76383)),f317(f317(f74(x76381),x76382),x76384)))
% 184.03/183.91 [7639]~P83(x76391)+~P1(f317(f317(f225(x76391),x76393),x76394))+P1(f317(f317(f225(x76391),f317(f317(f74(x76391),x76392),x76393)),f317(f317(f74(x76391),x76392),x76394)))
% 184.03/183.91 [7640]~P82(x76401)+~P1(f317(f317(f225(x76401),x76402),x76404))+P1(f317(f317(f225(x76401),f317(f317(f74(x76401),x76402),x76403)),f317(f317(f74(x76401),x76404),x76403)))
% 184.03/183.91 [7641]~P83(x76411)+~P1(f317(f317(f225(x76411),x76412),x76414))+P1(f317(f317(f225(x76411),f317(f317(f74(x76411),x76412),x76413)),f317(f317(f74(x76411),x76414),x76413)))
% 184.03/183.91 [7642]~P122(x76421)+~P1(f317(f317(f277(x76421),x76423),x76424))+P1(f317(f317(f277(x76421),f317(f317(f75(x76421),x76422),x76423)),f317(f317(f75(x76421),x76422),x76424)))
% 184.03/183.91 [7643]~P122(x76431)+~P1(f317(f317(f277(x76431),x76432),x76434))+P1(f317(f317(f277(x76431),f317(f317(f75(x76431),x76432),x76433)),f317(f317(f75(x76431),x76434),x76433)))
% 184.03/183.91 [7644]~P120(x76441)+~P1(f317(f317(f277(x76441),x76442),x76444))+P1(f317(f317(f277(x76441),f317(f317(f234(x76441),x76442),x76443)),f317(f317(f234(x76441),x76444),x76443)))
% 184.03/183.91 [7651]~P110(x76511)+~P92(x76511)+E(f317(f317(f3(x76511),f317(f317(f75(x76511),x76512),f317(f94(x76511),x76513))),f317(f317(f75(x76511),x76514),f317(f94(x76511),x76513))),f317(f317(f75(x76511),f317(f317(f3(x76511),x76512),x76514)),f317(f94(x76511),x76513)))
% 184.03/183.91 [7652]~P139(x76521)+~P92(x76521)+E(f317(f317(f74(x76521),f317(f317(f75(x76521),x76522),f317(f94(x76521),x76523))),f317(f317(f75(x76521),x76524),f317(f94(x76521),x76523))),f317(f317(f75(x76521),f317(f317(f74(x76521),x76522),x76524)),f317(f94(x76521),x76523)))
% 184.03/183.91 [7688]~P70(x76881)+E(f317(f317(f74(x76881),f317(x76882,x76883)),f317(f317(f8(a899,x76881),x76882),f293(a899,f317(a102,x76883),x76884))),f317(f317(f8(a899,x76881),x76882),f293(a899,x76883,x76884)))+~P1(f317(f317(f224(a899),x76883),x76884))
% 184.03/183.91 [7700]~P24(x77002,x77001,x77003,f317(f162(x77002),x77004))+~P1(f317(f127(x77002),x77004))+P1(f317(f127(x77001),f317(f317(f144(x77002,x77001),x77003),x77004)))
% 184.03/183.91 [7749]~P1(f317(f317(f224(a899),x77492),x77494))+~P1(f317(f317(f224(a899),x77491),x77493))+P1(f317(f317(f224(a899),f317(f317(f75(a899),x77491),x77492)),f317(f317(f75(a899),x77493),x77494)))
% 184.03/183.91 [7750]~P1(f317(f317(f224(a899),x77502),x77504))+~P1(f317(f317(f224(a899),x77501),x77503))+P1(f317(f317(f224(a899),f317(f317(f74(a899),x77501),x77502)),f317(f317(f74(a899),x77503),x77504)))
% 184.03/183.91 [7753]~P1(f317(f317(f225(a899),x77532),x77534))+~P1(f317(f317(f225(a899),x77531),x77533))+P1(f317(f317(f225(a899),f317(f317(f74(a899),x77531),x77532)),f317(f317(f74(a899),x77533),x77534)))
% 184.03/183.91 [7754]~P1(f317(f317(f224(a1),x77542),x77544))+~P1(f317(f317(f225(a1),x77541),x77543))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x77541),x77542)),f317(f317(f74(a1),x77543),x77544)))
% 184.03/183.91 [7802]P1(f317(f317(f319(x78021),x78022),x78023))+~P1(f317(f317(f319(x78021),x78022),f32(f906(x78021,a895),x78024)))+~P1(f317(f317(f319(f906(x78021,a895)),x78023),x78024))
% 184.03/183.91 [7819]~P1(f317(x78191,f640(x78191,x78193,x78192)))+P1(f317(x78191,f317(f317(f154(x78192),x78193),x78194)))+~P1(f317(f317(f225(a899),x78194),f317(f179(f900(x78192)),x78193)))
% 184.03/183.91 [7824]P1(f317(x78241,x78242))+~P1(f317(f317(f319(x78244),x78242),f317(f162(x78244),x78243)))+P1(f317(f317(f225(a899),f642(x78241,x78243,x78244)),f317(f179(f900(x78244)),x78243)))
% 184.03/183.91 [7871]~P108(x78711)+~P1(f317(f317(f225(f906(x78712,x78711)),x78714),x78713))+~P1(f317(f317(f224(f906(x78712,x78711)),x78713),x78714))
% 184.03/183.91 [7916]~P1(f317(x79164,x79162))+~P1(f317(f317(f319(x79161),x79162),x79163))+P1(f317(f317(f319(x79161),x79162),f317(f317(f92(f906(x79161,a895)),x79163),f317(f252(x79161),x79164))))
% 184.03/183.91 [8061]~P1(f317(f317(f319(x80611),x80613),x80614))+~P1(f317(f317(f225(f906(x80611,a895)),x80612),x80614))+P1(f317(f317(f225(f906(x80611,a895)),x80612),f317(f317(f299(x80611),x80613),x80614)))
% 184.03/183.91 [8063]E(f317(f317(f92(f906(x80631,a895)),x80632),x80633),f178(f906(x80631,a895)))+~E(f317(f317(f92(f906(x80631,a895)),f31(f906(x80631,a895),x80634)),x80633),f178(f906(x80631,a895)))+~P1(f317(f317(f319(f906(x80631,a895)),x80632),x80634))
% 184.03/183.91 [8136]P1(f317(f317(f319(x81361),x81362),x81363))+~P1(f317(f317(f224(f906(x81361,a895)),x81363),f317(f317(f299(x81361),x81362),x81364)))+P1(f317(f317(f224(f906(x81361,a895)),x81363),x81364))
% 184.03/183.91 [8153]P1(f317(f317(f319(x81532),f640(x81531,x81533,x81532)),f317(f162(x81532),x81533)))+P1(f317(x81531,f317(f317(f154(x81532),x81533),x81534)))+~P1(f317(f317(f225(a899),x81534),f317(f179(f900(x81532)),x81533)))
% 184.03/183.91 [8161]~P1(f317(f317(f224(f906(x81611,a895)),x81612),x81614))+P1(f317(f317(f224(f906(x81611,a895)),x81612),x81613))+~P1(f317(f317(f224(f906(x81611,a895)),x81614),x81613))
% 184.03/183.91 [8162]~P1(f317(f317(f225(f906(x81621,a895)),x81622),x81624))+~P1(f317(f317(f224(f906(x81621,a895)),x81624),x81623))+P1(f317(f317(f225(f906(x81621,a895)),x81622),x81623))
% 184.03/183.91 [8163]~P1(f317(f317(f224(f906(x81631,a895)),x81632),x81634))+~P1(f317(f317(f225(f906(x81631,a895)),x81634),x81633))+P1(f317(f317(f225(f906(x81631,a895)),x81632),x81633))
% 184.03/183.91 [8164]~P1(f317(f317(f225(f906(x81641,a895)),x81642),x81644))+P1(f317(f317(f225(f906(x81641,a895)),x81642),x81643))+~P1(f317(f317(f225(f906(x81641,a895)),x81644),x81643))
% 184.03/183.91 [8208]~P1(f317(f317(f319(x82081),x82084),x82083))+~P1(f317(f317(f225(f906(x82081,a895)),x82082),f317(f317(f299(x82081),x82084),x82083)))+P1(f317(f317(f225(f906(x82081,a895)),x82082),x82083))
% 184.03/183.91 [8219]~P83(x82191)+P1(f317(f317(f224(x82191),x82192),x82193))+~P1(f317(f317(f224(x82191),f317(f317(f74(x82191),x82194),x82192)),f317(f317(f74(x82191),x82194),x82193)))
% 184.03/183.91 [8221]~P83(x82211)+P1(f317(f317(f224(x82211),x82212),x82213))+~P1(f317(f317(f224(x82211),f317(f317(f74(x82211),x82212),x82214)),f317(f317(f74(x82211),x82213),x82214)))
% 184.03/183.91 [8223]~P83(x82231)+P1(f317(f317(f225(x82231),x82232),x82233))+~P1(f317(f317(f225(x82231),f317(f317(f74(x82231),x82234),x82232)),f317(f317(f74(x82231),x82234),x82233)))
% 184.03/183.91 [8225]~P83(x82251)+P1(f317(f317(f225(x82251),x82252),x82253))+~P1(f317(f317(f225(x82251),f317(f317(f74(x82251),x82252),x82254)),f317(f317(f74(x82251),x82253),x82254)))
% 184.03/183.91 [8276]P1(f317(x82761,x82762))+~E(f317(f317(f128(x82763),f317(f179(f900(x82763)),f167(x82763,x82761,x82764))),x82764),f103(x82763))+~P1(f317(f317(f319(x82763),x82762),f317(f162(x82763),x82764)))
% 184.03/183.91 [8395]P1(f317(x83951,x83952))+~P1(f317(f317(f319(x83953),x83952),f317(f162(x83953),x83954)))+P1(f317(f317(f225(a899),f317(f179(f900(x83953)),f317(f126(x83953,x83951),x83954))),f317(f179(f900(x83953)),x83954)))
% 184.03/183.91 [8885]~P1(f317(x88851,f736(x88851,x88853,x88852,x88854)))+P1(f317(x88851,f317(f317(f154(x88852),x88853),x88854)))+~P1(f317(f317(f225(a899),x88854),f317(f179(f900(x88852)),x88853)))
% 184.03/183.91 [8909]~P24(x89094,x89093,x89091,f232(f906(x89094,a895)))+E(f317(x89091,f510(x89092,x89091,x89093,x89094)),x89092)+~P1(f317(f317(f319(x89093),x89092),f317(f300(x89094,x89093,x89091),f232(f906(x89094,a895)))))
% 184.03/183.91 [8977]E(f167(x89771,x89772,x89773),f317(f317(f165(x89771),x89774),x89773))+P1(f317(f317(f225(a899),f705(x89772,x89773,x89771,x89774)),x89774))+P1(f317(f317(f225(a899),x89774),f317(f179(f900(x89771)),x89773)))
% 184.03/183.91 [8980]E(f167(x89801,x89802,x89803),f317(f317(f165(x89801),x89804),x89803))+P1(f317(f317(f225(a899),f705(x89802,x89803,x89801,x89804)),x89804))+P1(f317(x89802,f317(f317(f154(x89801),x89803),x89804)))
% 184.03/183.91 [9015]P1(f317(x90151,x90152))+~P1(f317(f317(f319(x90154),x90152),f317(f162(x90154),x90153)))+P1(f317(f317(f225(a899),f680(x90152,x90151,x90153,x90154)),f317(f179(f900(x90154)),x90153)))
% 184.03/183.91 [9017]E(f167(x90171,x90172,x90173),f317(f317(f165(x90171),x90174),x90173))+P1(f317(f317(f225(a899),x90174),f317(f179(f900(x90171)),x90173)))+P1(f317(f317(f225(a899),f705(x90172,x90173,x90171,x90174)),f317(f179(f900(x90171)),x90173)))
% 184.03/183.91 [9024]E(f167(x90241,x90242,x90243),f317(f317(f165(x90241),x90244),x90243))+P1(f317(x90242,f317(f317(f154(x90241),x90243),x90244)))+P1(f317(f317(f225(a899),f705(x90242,x90243,x90241,x90244)),f317(f179(f900(x90241)),x90243)))
% 184.03/183.91 [9049]~P112(x90494)+P1(f317(f317(f319(x90491),f856(x90492,x90493,x90491,x90494)),x90493))+P1(f317(f317(f225(x90494),f2(x90494)),f317(f317(f11(x90491,x90494),x90492),x90493)))
% 184.03/183.91 [9050]~P112(x90504)+P1(f317(f317(f319(x90501),f857(x90502,x90503,x90501,x90504)),x90503))+P1(f317(f317(f224(x90504),f2(x90504)),f317(f317(f11(x90501,x90504),x90502),x90503)))
% 184.03/183.91 [9075]~P1(f317(f28(x90751),x90754))+P1(f317(f317(f319(x90751),f529(x90752,x90753,x90754,x90751)),x90754))+P1(f317(f28(f905(x90751,x90753)),f317(f317(f244(x90751,x90753),x90754),x90752)))
% 184.03/183.91 [9107]P1(f317(f317(f319(x91072),f736(x91071,x91073,x91072,x91074)),f317(f162(x91072),x91073)))+P1(f317(x91071,f317(f317(f154(x91072),x91073),x91074)))+~P1(f317(f317(f225(a899),x91074),f317(f179(f900(x91072)),x91073)))
% 184.03/183.91 [9236]P1(f317(f317(f224(a899),x92364),f317(f179(f900(x92362)),f167(x92362,x92363,x92361))))+P1(f317(f317(f225(a899),f706(x92361,x92362,x92363,x92364)),x92364))+~P1(f317(f317(f224(a899),x92364),f317(f179(f900(x92362)),x92361)))
% 184.03/183.91 [9391]E(f167(x93911,x93912,x93913),f317(f317(f165(x93911),x93914),x93913))+~P1(f317(x93912,f317(f317(f154(x93911),x93913),f705(x93912,x93913,x93911,x93914))))+P1(f317(f317(f225(a899),x93914),f317(f179(f900(x93911)),x93913)))
% 184.03/183.91 [9399]E(f167(x93991,x93992,x93993),f317(f317(f165(x93991),x93994),x93993))+~P1(f317(x93992,f317(f317(f154(x93991),x93993),f705(x93992,x93993,x93991,x93994))))+P1(f317(x93992,f317(f317(f154(x93991),x93993),x93994)))
% 184.03/183.91 [9403]~P1(f317(f28(x94031),x94033))+~P1(f317(f28(x94032),f317(x94034,f529(x94034,x94032,x94033,x94031))))+P1(f317(f28(f905(x94031,x94032)),f317(f317(f244(x94031,x94032),x94033),x94034)))
% 184.03/183.91 [9411]~P112(x94111)+~P1(f317(f317(f224(x94111),f2(x94111)),f317(x94113,f857(x94113,x94114,x94112,x94111))))+P1(f317(f317(f224(x94111),f2(x94111)),f317(f317(f11(x94112,x94111),x94113),x94114)))
% 184.03/183.91 [9412]~P112(x94121)+~P1(f317(f317(f225(x94121),f2(x94121)),f317(x94123,f856(x94123,x94124,x94122,x94121))))+P1(f317(f317(f225(x94121),f2(x94121)),f317(f317(f11(x94122,x94121),x94123),x94124)))
% 184.03/183.91 [9420]~E(f317(f179(f900(x94204)),x94202),f317(f179(f900(x94204)),x94203))+P1(f317(f317(f319(f905(f900(x94204),f900(x94204))),f317(f317(f242(f900(x94204),f900(x94204)),x94203),x94202)),f148(x94204,x94201)))+P1(f317(f317(f225(a899),f630(x94201,x94202,x94203,x94204)),f317(f179(f900(x94204)),x94203)))
% 184.03/183.91 [9472]~P1(f317(x94723,f317(f317(f154(x94722),x94724),f706(x94724,x94722,x94723,x94721))))+P1(f317(f317(f224(a899),x94721),f317(f179(f900(x94722)),f167(x94722,x94723,x94724))))+~P1(f317(f317(f224(a899),x94721),f317(f179(f900(x94722)),x94724)))
% 184.03/183.91 [9553]E(f317(f317(f165(x95531),f641(x95532,x95533,x95534,x95531)),x95533),f317(f317(f165(x95531),f641(x95532,x95533,x95534,x95531)),x95534))+~P1(f317(f317(f319(f905(f900(x95531),f900(x95531))),f317(f317(f242(f900(x95531),f900(x95531)),x95534),x95533)),f137(x95531,x95532)))+P1(f317(f317(f225(a899),f317(f179(f900(x95531)),x95534)),f317(f179(f900(x95531)),x95533)))
% 184.03/183.91 [9618]~P1(f317(f317(f225(a899),f2(a899)),x96183))+~P1(f317(f317(f225(a899),x96184),x96181))+P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),x96181),f40(a899,x96182,x96183))),x96184)),f317(f317(f75(a899),x96181),x96183)))
% 184.03/183.91 [9810]~P108(x98102)+~P1(f317(f317(f224(x98102),f317(x98103,f885(x98104,x98103,x98101,x98102))),f317(x98104,f885(x98104,x98103,x98101,x98102))))+P1(f317(f317(f224(f906(x98101,x98102)),x98103),x98104))
% 184.03/183.91 [9913]~P67(x99131)+E(f317(f317(f8(a899,x99131),f317(f317(f20(a899,x99131,x99131),f317(f317(f10(x99131,f906(x99131,x99131),a899),f3(x99131)),x99132)),f317(f317(f10(a899,x99131,a899),x99132),f317(f317(f9(a899,a899,a899),f74(a899)),f72(a899))))),f293(a899,x99133,x99134)),f317(f317(f3(x99131),f317(x99132,x99133)),f317(x99132,f317(f317(f74(a899),x99134),f72(a899)))))+~P1(f317(f317(f224(a899),x99133),x99134))
% 184.03/183.91 [9988]~P36(x99883,f317(f317(f279(x99883,x99883,x99883),x99882),f297(x99883,x99882)))+~P1(f317(f317(f319(f905(x99883,x99883)),f317(f317(f242(x99883,x99883),f317(x99881,f317(a102,f818(x99882,x99881,x99883)))),f317(x99881,f818(x99882,x99881,x99883)))),f297(x99883,x99882)))+E(f317(x99881,f317(f317(f74(a899),f817(x99882,x99881,x99883)),x99884)),f317(x99881,f817(x99882,x99881,x99883)))
% 184.03/183.91 [6851]~P3(x68511)+E(f317(f317(f30(x68511),f317(f317(f75(x68511),x68512),x68513)),x68514),f317(f317(f75(x68511),x68512),f317(f317(f30(x68511),x68513),x68514)))+~P1(f317(f317(f277(x68511),x68514),x68513))
% 184.03/183.91 [6938]E(f317(f317(f124(x69381),x69382),x69383),x69384)+~E(x69383,f317(f317(f128(x69381),f317(f179(f900(x69381)),x69382)),x69384))+~E(f317(f317(f165(x69381),f317(f179(f900(x69381)),x69382)),x69384),x69382)
% 184.03/183.91 [6994]~P62(x69942)+E(x69941,f2(x69942))+E(f317(f317(f281(x69942),f317(f317(f234(x69942),x69943),x69944)),f317(f317(f234(x69942),x69941),x69944)),f317(f317(f234(x69942),f317(f317(f281(x69942),x69943),x69941)),x69944))
% 184.03/183.91 [7141]~P3(x71411)+E(f317(f317(f30(x71411),f317(f317(f75(x71411),x71412),x71413)),x71414),f317(f317(f75(x71411),f317(f317(f30(x71411),x71412),x71414)),x71413))+~P1(f317(f317(f277(x71411),x71414),x71412))
% 184.03/183.91 [7150]~P107(x71501)+~P1(f317(f317(f224(x71501),x71503),x71504))+P1(f317(f317(f224(x71501),f317(f317(f228(x71501),x71502),x71503)),x71504))
% 184.03/183.91 [7152]~P107(x71521)+~P1(f317(f317(f224(x71521),x71522),x71524))+P1(f317(f317(f224(x71521),f317(f317(f228(x71521),x71522),x71523)),x71524))
% 184.03/183.91 [7153]~P103(x71531)+~P1(f317(f317(f224(x71531),x71533),x71534))+P1(f317(f317(f224(x71531),f317(f317(f92(x71531),x71532),x71533)),x71534))
% 184.03/183.91 [7154]~P103(x71541)+~P1(f317(f317(f224(x71541),x71542),x71544))+P1(f317(f317(f224(x71541),f317(f317(f92(x71541),x71542),x71543)),x71544))
% 184.03/183.91 [7156]~P107(x71561)+~P1(f317(f317(f225(x71561),x71563),x71564))+P1(f317(f317(f225(x71561),f317(f317(f228(x71561),x71562),x71563)),x71564))
% 184.03/183.91 [7158]~P107(x71581)+~P1(f317(f317(f225(x71581),x71582),x71584))+P1(f317(f317(f225(x71581),f317(f317(f228(x71581),x71582),x71583)),x71584))
% 184.03/183.91 [7159]~P103(x71591)+~P1(f317(f317(f225(x71591),x71593),x71594))+P1(f317(f317(f225(x71591),f317(f317(f92(x71591),x71592),x71593)),x71594))
% 184.03/183.91 [7160]~P103(x71601)+~P1(f317(f317(f225(x71601),x71602),x71604))+P1(f317(f317(f225(x71601),f317(f317(f92(x71601),x71602),x71603)),x71604))
% 184.03/183.91 [7183]~P1(f317(x71833,x71834))+~P1(f317(x71832,x71834))+P1(f317(f317(f317(f92(f906(x71831,a895)),x71832),x71833),x71834))
% 184.03/183.91 [7445]~P3(x74451)+E(f317(f317(f30(x74451),f317(f317(f234(x74451),x74452),x74453)),f317(f317(f234(x74451),x74454),x74453)),f317(f317(f234(x74451),f317(f317(f30(x74451),x74452),x74454)),x74453))+~P1(f317(f317(f277(x74451),x74454),x74452))
% 184.03/183.91 [7678]~P70(x76781)+E(f317(f317(f74(x76781),f317(x76782,x76783)),f317(f317(f8(a899,x76781),x76782),f317(f292(a899,f317(a102,x76783)),x76784))),f317(f317(f8(a899,x76781),x76782),f317(f292(a899,x76783),x76784)))+~P1(f317(f317(f225(a899),x76783),x76784))
% 184.03/183.91 [7696]E(x76961,x76962)+P1(f317(f317(f162(x76963),x76964),x76962))+~P1(f317(f317(f162(x76963),f317(f317(f141(x76963),x76961),x76964)),x76962))
% 184.03/183.91 [7708]~P107(x77081)+P1(f317(f317(f224(x77081),x77082),x77083))+~P1(f317(f317(f224(x77081),f317(f317(f223(x77081),x77084),x77082)),x77083))
% 184.03/183.91 [7710]~P107(x77101)+P1(f317(f317(f224(x77101),x77102),x77103))+~P1(f317(f317(f224(x77101),f317(f317(f223(x77101),x77102),x77104)),x77103))
% 184.03/183.91 [7712]~P97(x77121)+P1(f317(f317(f224(x77121),x77122),x77123))+~P1(f317(f317(f224(x77121),f317(f317(f91(x77121),x77124),x77122)),x77123))
% 184.03/183.91 [7714]~P97(x77141)+P1(f317(f317(f224(x77141),x77142),x77143))+~P1(f317(f317(f224(x77141),f317(f317(f91(x77141),x77142),x77144)),x77143))
% 184.03/183.91 [7715]~P107(x77151)+P1(f317(f317(f225(x77151),x77152),x77153))+~P1(f317(f317(f225(x77151),f317(f317(f223(x77151),x77154),x77152)),x77153))
% 184.03/183.91 [7716]~P107(x77161)+P1(f317(f317(f225(x77161),x77162),x77163))+~P1(f317(f317(f225(x77161),f317(f317(f223(x77161),x77162),x77164)),x77163))
% 184.03/183.91 [7717]~P120(x77171)+P1(f317(f317(f277(x77171),x77172),x77173))+~P1(f317(f317(f277(x77171),f317(f317(f75(x77171),x77174),x77172)),x77173))
% 184.03/183.91 [7718]~P120(x77181)+P1(f317(f317(f277(x77181),x77182),x77183))+~P1(f317(f317(f277(x77181),f317(f317(f75(x77181),x77182),x77184)),x77183))
% 184.03/183.91 [7794]~P1(f317(f317(f319(x77941),x77942),x77944))+P1(f317(f317(f319(x77941),x77942),x77943))+P1(f317(f317(f319(x77941),x77942),f317(f317(f3(f906(x77941,a895)),x77944),x77943)))
% 184.03/183.91 [7878]P1(f317(x78781,x78782))+P1(f317(x78783,x78782))+~P1(f317(f317(f317(f91(f906(x78784,a895)),x78783),x78781),x78782))
% 184.03/183.91 [7890]~P1(f317(f317(f319(x78901),x78902),x78904))+~P1(f317(f317(f319(x78901),x78902),x78903))+P1(f317(f317(f319(x78901),x78902),f317(f317(f92(f906(x78901,a895)),x78903),x78904)))
% 184.03/183.91 [7938]~P107(x79381)+~P1(f317(f28(x79381),x79384))+E(f317(f317(f58(x79381,x79381,f228(x79381)),x79382),f317(f317(f299(x79381),x79383),x79384)),f317(f317(f228(x79381),x79383),f317(f317(f58(x79381,x79381,f228(x79381)),x79382),x79384)))
% 184.03/183.91 [7939]~P97(x79391)+~P1(f317(f28(x79391),x79394))+E(f317(f317(f58(x79391,x79391,f91(x79391)),x79392),f317(f317(f299(x79391),x79393),x79394)),f317(f317(f91(x79391),x79393),f317(f317(f58(x79391,x79391,f91(x79391)),x79392),x79394)))
% 184.03/183.91 [7940]~P107(x79401)+~P1(f317(f28(x79401),x79404))+E(f317(f317(f58(x79401,x79401,f223(x79401)),x79402),f317(f317(f299(x79401),x79403),x79404)),f317(f317(f223(x79401),x79403),f317(f317(f58(x79401,x79401,f223(x79401)),x79402),x79404)))
% 184.03/183.91 [7941]~P103(x79411)+~P1(f317(f28(x79411),x79414))+E(f317(f317(f58(x79411,x79411,f92(x79411)),x79412),f317(f317(f299(x79411),x79413),x79414)),f317(f317(f92(x79411),x79413),f317(f317(f58(x79411,x79411,f92(x79411)),x79412),x79414)))
% 184.03/183.91 [7943]~P110(x79431)+~P92(x79431)+E(f317(f317(f3(x79431),f317(f317(f75(x79431),f317(f94(x79431),x79432)),x79433)),f317(f317(f75(x79431),f317(f94(x79431),x79432)),x79434)),f317(f317(f75(x79431),f317(f94(x79431),x79432)),f317(f317(f3(x79431),x79433),x79434)))
% 184.03/183.91 [7944]~P139(x79441)+~P92(x79441)+E(f317(f317(f74(x79441),f317(f317(f75(x79441),f317(f94(x79441),x79442)),x79443)),f317(f317(f75(x79441),f317(f94(x79441),x79442)),x79444)),f317(f317(f75(x79441),f317(f94(x79441),x79442)),f317(f317(f74(x79441),x79443),x79444)))
% 184.03/183.91 [8059]E(x80591,x80592)+P1(f317(f317(f319(x80593),x80591),f317(f162(x80593),x80594)))+~P1(f317(f317(f319(x80593),x80591),f317(f162(x80593),f317(f317(f141(x80593),x80592),x80594))))
% 184.03/183.91 [8230]P54(x82301,x82302,x82303)+~P54(x82301,x82302,x82304)+~P1(f317(f317(f224(f906(f905(x82301,x82302),a895)),x82303),x82304))
% 184.03/183.91 [8278]P1(f317(f317(f319(x82781),x82782),x82783))+P1(f317(f317(f319(x82781),x82782),x82784))+~P1(f317(f317(f319(x82781),x82782),f317(f317(f91(f906(x82781,a895)),x82784),x82783)))
% 184.03/183.91 [8288]~P52(x82881,x82884,x82883)+~P1(f317(f317(f319(x82881),x82882),x82884))+P1(f317(f317(f319(f905(x82881,x82881)),f317(f317(f242(x82881,x82881),x82882),x82882)),x82883))
% 184.03/183.91 [8300]~P1(f317(f28(x83002),x83004))+~P1(f317(f28(x83001),x83003))+P1(f317(f28(f905(x83001,x83002)),f317(f317(f244(x83001,x83002),x83003),f317(f18(f906(x83002,a895),x83001),x83004))))
% 184.03/183.91 [8301]~P1(f317(f317(f319(x83011),x83012),x83014))+~P1(f317(f317(f224(f906(x83011,a895)),x83013),x83014))+P1(f317(f317(f224(f906(x83011,a895)),f317(f317(f299(x83011),x83012),x83013)),x83014))
% 184.03/183.91 [8308]~P74(x83082)+~P145(x83082)+E(f317(f317(f11(x83081,x83082),f317(f317(f10(a899,x83082,x83081),f90(x83082)),x83083)),x83084),f317(f90(x83082),f317(f317(f11(x83081,a899),x83083),x83084)))
% 184.03/183.91 [8309]~P74(x83092)+~P141(x83092)+E(f317(f317(f11(x83091,x83092),f317(f317(f10(a1,x83092,x83091),f93(x83092)),x83093)),x83094),f317(f93(x83092),f317(f317(f11(x83091,a1),x83093),x83094)))
% 184.03/183.91 [8333]E(f317(f317(f3(f906(x83331,a895)),x83332),f317(f317(f3(f906(x83331,a895)),x83333),x83334)),x83334)+~P1(f317(f317(f224(f906(x83331,a895)),x83332),x83333))+~P1(f317(f317(f224(f906(x83331,a895)),x83334),x83332))
% 184.03/183.91 [8430]~P1(f317(f28(x84301),x84304))+E(f317(f317(f3(a899),f317(f317(f8(x84301,a899),x84302),x84303)),f317(f317(f8(x84301,a899),x84302),x84304)),f317(f317(f8(x84301,a899),x84302),f317(f317(f3(f906(x84301,a895)),x84303),x84304)))+~P1(f317(f317(f224(f906(x84301,a895)),x84304),x84303))
% 184.03/183.91 [8583]~P8(x85831,x85834,x85833)+~P1(f317(f317(f319(x85831),x85832),x85834))+P1(f317(f317(f319(x85831),x85832),f317(f275(x85831,x85831,x85833),f317(f317(f299(x85831),x85832),f178(f906(x85831,a895))))))
% 184.03/183.91 [8644]~P1(f317(f317(f224(f906(x86441,a895)),x86442),x86443))+~P1(f317(f317(f224(f906(x86441,a895)),x86442),x86444))+P1(f317(f317(f224(f906(x86441,a895)),x86442),f317(f317(f92(f906(x86441,a895)),x86443),x86444)))
% 184.03/183.91 [8746]E(x87461,f178(f906(x87462,a895)))+P1(f317(f28(x87463),x87464))+~P1(f317(f28(f905(x87463,x87462)),f317(f317(f244(x87463,x87462),x87464),f317(f18(f906(x87462,a895),x87463),x87461))))
% 184.03/183.91 [8747]E(x87471,f178(f906(x87472,a895)))+P1(f317(f28(x87473),x87474))+~P1(f317(f28(f905(x87472,x87473)),f317(f317(f244(x87472,x87473),x87471),f317(f18(f906(x87473,a895),x87472),x87474))))
% 184.03/183.91 [8820]P1(f317(f317(f319(x88201),x88202),f306(x88201,x88203)))+~P1(f317(f317(f319(x88201),x88204),f306(x88201,x88203)))+~P1(f317(f317(f319(f905(x88201,x88201)),f317(f317(f242(x88201,x88201),x88202),x88204)),x88203))
% 184.03/183.91 [8877]~P36(x88771,x88774)+P1(f317(f317(f319(f905(x88771,x88771)),f317(f317(f242(x88771,x88771),x88773),x88772)),f297(x88771,x88774)))+P36(x88771,f317(f317(f299(f905(x88771,x88771)),f317(f317(f242(x88771,x88771),x88772),x88773)),x88774))
% 184.03/183.91 [8878]~P57(x88781,x88784)+P1(f317(f317(f319(f905(x88781,x88781)),f317(f317(f242(x88781,x88781),x88783),x88782)),f297(x88781,x88784)))+P57(x88781,f317(f317(f299(f905(x88781,x88781)),f317(f317(f242(x88781,x88781),x88782),x88783)),x88784))
% 184.03/183.91 [8960]~E(x89602,x89603)+~P1(f317(f317(f319(x89601),x89602),f317(f162(x89601),x89604)))+P1(f317(f317(f319(f905(x89601,x89601)),f317(f317(f242(x89601,x89601),x89602),x89603)),f317(f162(f905(x89601,x89601)),f317(f317(f171(x89601,x89601),x89604),x89604))))
% 184.03/183.91 [9048]~E(x90483,x90484)+P1(f317(f317(f247(x90481,x90481,a895),a314),x90482))+~P1(f317(f317(f319(f905(x90481,x90481)),x90482),f317(f162(f905(x90481,x90481)),f317(f317(f171(x90481,x90481),x90483),x90484))))
% 184.03/183.91 [9092]P1(f317(f317(f319(f905(f900(x90921),f900(x90921))),f317(f317(f242(f900(x90921),f900(x90921)),x90922),x90923)),f137(x90921,x90924)))+~E(f317(f317(f165(x90921),f317(f179(f900(x90921)),x90922)),x90923),x90922)+~P1(f317(f317(f225(a899),f317(f179(f900(x90921)),x90922)),f317(f179(f900(x90921)),x90923)))
% 184.03/183.91 [9095]~P51(x90951,x90954)+~P1(f317(f317(f319(f905(x90951,x90951)),f317(f317(f242(x90951,x90951),x90953),x90952)),x90954))+P1(f317(f317(f319(f905(x90951,x90951)),f317(f317(f242(x90951,x90951),x90952),x90953)),x90954))
% 184.03/183.91 [9186]~P1(f317(f28(x91861),x91864))+P1(f317(f317(f319(x91861),f471(x91862,x91863,x91864,x91861)),x91864))+P1(f317(f28(x91863),f317(f317(f35(x91861,f906(x91863,a895)),x91864),x91862)))
% 184.03/183.91 [9187]~P1(f317(f28(x91871),x91874))+P1(f317(f317(f319(x91871),f571(x91872,x91873,x91874,x91871)),x91874))+P1(f317(f28(x91873),f317(f317(f35(x91871,f906(x91873,a895)),x91874),x91872)))
% 184.03/183.91 [9272]P1(f317(f317(f319(f905(x92721,x92721)),x92722),f317(f317(f279(x92721,x92721,x92721),x92723),f297(x92721,x92723))))+~P1(f317(f317(f225(a899),f2(a899)),x92724))+~P1(f317(f317(f319(f905(x92721,x92721)),x92722),f317(f317(f173(f905(x92721,x92721),a895),x92724),x92723)))
% 184.03/183.91 [9280]~P36(x92801,x92802)+~P1(f317(f317(f319(f905(x92801,x92801)),f317(f317(f242(x92801,x92801),x92804),x92803)),x92802))+~P1(f317(f317(f319(f905(x92801,x92801)),f317(f317(f242(x92801,x92801),x92803),x92804)),x92802))
% 184.03/183.91 [9410]~P1(f317(f28(x94101),x94104))+E(f317(f317(f8(x94101,a899),f317(f317(f10(f906(x94102,a895),a899,x94101),f29(x94102)),x94103)),x94104),f317(f29(f905(x94101,x94102)),f317(f317(f244(x94101,x94102),x94104),x94103)))+P1(f317(f317(f319(x94101),f530(x94103,x94102,x94104,x94101)),x94104))
% 184.03/183.91 [9414]~P1(f317(f127(x94141),x94142))+P1(f317(f127(x94141),f317(f317(f149(x94141,x94142),x94143),x94144)))+P1(f317(f317(f319(x94141),x94144),f317(f317(f3(f906(x94141,a895)),f317(f162(x94141),x94142)),f317(f317(f299(x94141),f317(f317(f154(x94141),x94142),x94143)),f178(f906(x94141,a895))))))
% 184.03/183.91 [9431]~P1(f317(f28(x94312),x94313))+~P1(f317(f28(x94311),f317(x94314,f471(x94314,x94311,x94313,x94312))))+P1(f317(f28(x94311),f317(f317(f35(x94312,f906(x94311,a895)),x94313),x94314)))
% 184.03/183.91 [9432]~P1(f317(f28(x94322),x94323))+~P1(f317(f28(x94321),f317(x94324,f571(x94324,x94321,x94323,x94322))))+P1(f317(f28(x94321),f317(f317(f35(x94322,f906(x94321,a895)),x94323),x94324)))
% 184.03/183.91 [9510]~P1(f317(f317(f319(f905(x95101,x95101)),x95102),f317(f317(f279(x95101,x95101,x95101),x95104),f297(x95101,x95104))))+P1(f317(f317(f319(f905(x95101,x95101)),x95102),f317(f317(f279(x95101,x95101,x95101),x95103),f297(x95101,x95103))))+~P1(f317(f317(f224(f906(f905(x95101,x95101),a895)),x95104),x95103))
% 184.03/183.91 [9520]E(f317(f317(f165(x95201),f641(x95204,x95203,x95202,x95201)),x95203),f317(f317(f165(x95201),f641(x95204,x95203,x95202,x95201)),x95202))+~P1(f317(f317(f319(f905(f900(x95201),f900(x95201))),f317(f317(f242(f900(x95201),f900(x95201)),x95202),x95203)),f137(x95201,x95204)))+E(f317(f317(f165(x95201),f317(f179(f900(x95201)),x95202)),x95203),x95202)
% 184.03/183.91 [9536]~P1(f317(f28(x95361),x95364))+E(f317(f317(f8(x95361,a899),f317(f317(f10(f906(x95362,a895),a899,x95361),f29(x95362)),x95363)),x95364),f317(f29(f905(x95361,x95362)),f317(f317(f244(x95361,x95362),x95364),x95363)))+~P1(f317(f28(x95362),f317(x95363,f530(x95363,x95362,x95364,x95361))))
% 184.03/183.91 [9540]~E(f317(f179(f900(x95401)),x95403),f317(f179(f900(x95401)),x95402))+P1(f317(f317(f319(f905(f900(x95401),f900(x95401))),f317(f317(f242(f900(x95401),f900(x95401)),x95402),x95403)),f148(x95401,x95404)))+P1(f317(f317(f319(f905(x95401,x95401)),f646(x95404,x95403,x95402,x95401)),f317(f162(f905(x95401,x95401)),f317(f317(f171(x95401,x95401),x95402),x95403))))
% 184.03/183.91 [9629]~P1(f317(f317(f319(f905(f900(x96291),f900(x96291))),f317(f317(f242(f900(x96291),f900(x96291)),x96292),x96293)),f137(x96291,x96294)))+E(f317(f317(f165(x96291),f317(f179(f900(x96291)),x96292)),x96293),x96292)+P1(f317(f317(f225(a899),f641(x96294,x96293,x96292,x96291)),f317(f317(f228(a899),f317(f179(f900(x96291)),x96292)),f317(f179(f900(x96291)),x96293))))
% 184.03/183.91 [9653]~P1(f317(f317(f319(f905(f900(x96531),f900(x96531))),f317(f317(f242(f900(x96531),f900(x96531)),x96532),x96533)),f137(x96531,x96534)))+P1(f317(f317(f225(a899),f317(f179(f900(x96531)),x96532)),f317(f179(f900(x96531)),x96533)))+P1(f317(f317(f225(a899),f641(x96534,x96533,x96532,x96531)),f317(f317(f228(a899),f317(f179(f900(x96531)),x96532)),f317(f179(f900(x96531)),x96533))))
% 184.03/183.91 [10055]~P1(f317(f317(f319(f905(f900(x100551),f900(x100551))),f317(f317(f242(f900(x100551),f900(x100551)),x100552),x100553)),f137(x100551,x100554)))+E(f317(f317(f165(x100551),f317(f179(f900(x100551)),x100552)),x100553),x100552)+P1(f317(f317(f319(f905(x100551,x100551)),f317(f317(f242(x100551,x100551),f317(f317(f154(x100551),x100552),f641(x100554,x100553,x100552,x100551))),f317(f317(f154(x100551),x100553),f641(x100554,x100553,x100552,x100551)))),x100554))
% 184.03/183.91 [10056]~P1(f317(f317(f319(f905(f900(x100561),f900(x100561))),f317(f317(f242(f900(x100561),f900(x100561)),x100562),x100563)),f137(x100561,x100564)))+P1(f317(f317(f225(a899),f317(f179(f900(x100561)),x100562)),f317(f179(f900(x100561)),x100563)))+P1(f317(f317(f319(f905(x100561,x100561)),f317(f317(f242(x100561,x100561),f317(f317(f154(x100561),x100562),f641(x100564,x100563,x100562,x100561))),f317(f317(f154(x100561),x100563),f641(x100564,x100563,x100562,x100561)))),x100564))
% 184.03/183.91 [10123]~E(f317(f179(f900(x101231)),x101232),f317(f179(f900(x101231)),x101233))+P1(f317(f317(f319(f905(f900(x101231),f900(x101231))),f317(f317(f242(f900(x101231),f900(x101231)),x101232),x101233)),f148(x101231,x101234)))+~P1(f317(f317(f319(f905(x101231,x101231)),f317(f317(f242(x101231,x101231),f317(f317(f154(x101231),x101232),f630(x101234,x101233,x101232,x101231))),f317(f317(f154(x101231),x101233),f630(x101234,x101233,x101232,x101231)))),x101234))
% 184.03/183.91 [10271]~P70(x102711)+~P1(f317(f28(x102712),x102714))+E(f317(f155(x102711),f317(f317(f144(x102712,x102711),x102713),f84(f900(x102712),f317(f317(f20(f900(x102712),a895,a895),f317(f317(f10(a895,f906(a895,a895),f900(x102712)),a315),f317(f317(f9(f900(x102712),f906(x102712,a895),a895),f317(f317(f10(f906(x102712,a895),f906(f906(x102712,a895),a895),f900(x102712)),a314),f162(x102712))),x102714))),f127(x102712))))),f221(x102712,x102711,x102713,x102714))
% 184.03/183.91 [7526]~P61(x75262)+E(x75261,f2(x75262))+E(f317(f317(f281(x75262),f317(f317(f74(x75262),x75263),f317(f317(f75(x75262),x75264),x75261))),x75261),f317(f317(f74(x75262),x75264),f317(f317(f281(x75262),x75263),x75261)))
% 184.03/183.91 [7527]~P3(x75272)+E(x75271,f2(x75272))+E(f317(f317(f30(x75272),f317(f317(f74(x75272),x75273),f317(f317(f75(x75272),x75274),x75271))),x75271),f317(f317(f74(x75272),x75274),f317(f317(f30(x75272),x75273),x75271)))
% 184.03/183.91 [7528]~P3(x75282)+E(x75281,f2(x75282))+E(f317(f317(f30(x75282),f317(f317(f74(x75282),x75283),f317(f317(f75(x75282),x75281),x75284))),x75281),f317(f317(f74(x75282),x75284),f317(f317(f30(x75282),x75283),x75281)))
% 184.03/183.91 [7757]~P62(x77572)+E(x77571,f2(x77572))+E(f317(f317(f281(x77572),f317(f317(f3(x77572),x77573),f317(f317(f75(x77572),x77571),x77574))),x77571),f317(f317(f3(x77572),f317(f317(f281(x77572),x77573),x77571)),x77574))
% 184.03/183.91 [7758]~P61(x77582)+E(x77581,f2(x77582))+E(f317(f317(f281(x77582),f317(f317(f74(x77582),x77583),f317(f317(f75(x77582),x77584),x77581))),x77581),f317(f317(f74(x77582),f317(f317(f281(x77582),x77583),x77581)),x77584))
% 184.03/183.91 [7759]~P62(x77592)+E(x77591,f2(x77592))+E(f317(f317(f281(x77592),f317(f317(f74(x77592),x77593),f317(f317(f75(x77592),x77591),x77594))),x77591),f317(f317(f74(x77592),f317(f317(f281(x77592),x77593),x77591)),x77594))
% 184.03/183.91 [8462]~P1(f317(f150(x84621,x84623),x84624))+~P1(f317(f150(x84621,x84622),x84624))+P1(f317(f150(x84621,f317(f317(f92(f906(x84621,a895)),x84622),x84623)),x84624))
% 184.03/183.91 [8835]~E(f317(f317(f279(x88351,x88351,x88351),x88352),x88354),f178(f906(f905(x88351,x88351),a895)))+~E(f317(f317(f279(x88351,x88351,x88351),x88352),x88353),f178(f906(f905(x88351,x88351),a895)))+E(f317(f317(f279(x88351,x88351,x88351),x88352),f317(f317(f91(f906(f905(x88351,x88351),a895)),x88353),x88354)),f178(f906(f905(x88351,x88351),a895)))
% 184.03/183.91 [8961]~P1(f317(f317(f224(f906(x89611,a895)),x89613),x89614))+~P1(f317(f317(f224(f906(x89611,a895)),x89612),x89614))+P1(f317(f317(f224(f906(x89611,a895)),f317(f317(f91(f906(x89611,a895)),x89612),x89613)),x89614))
% 184.03/183.91 [9336]~P1(f317(f28(x93361),x93364))+~P1(f317(f28(x93361),x93363))+E(f317(f317(f3(a899),f317(f317(f74(a899),f317(f317(f8(x93361,a899),x93362),x93363)),f317(f317(f8(x93361,a899),x93362),x93364))),f317(f317(f8(x93361,a899),x93362),f317(f317(f92(f906(x93361,a895)),x93363),x93364))),f317(f317(f8(x93361,a899),x93362),f317(f317(f91(f906(x93361,a895)),x93363),x93364)))
% 184.03/183.91 [9428]~P1(f317(f317(f319(x94281),x94283),x94282))+~P1(f317(f317(f224(f906(x94281,a895)),x94282),f317(f317(f299(x94281),x94283),x94284)))+P1(f317(f317(f224(f906(x94281,a895)),f317(f317(f3(f906(x94281,a895)),x94282),f317(f317(f299(x94281),x94283),f178(f906(x94281,a895))))),x94284))
% 184.03/183.91 [9604]~P1(f317(f317(f319(x96041),x96043),x96042))+P1(f317(f317(f224(f906(x96041,a895)),x96042),f317(f317(f299(x96041),x96043),x96044)))+~P1(f317(f317(f224(f906(x96041,a895)),f317(f317(f3(f906(x96041,a895)),x96042),f317(f317(f299(x96041),x96043),f178(f906(x96041,a895))))),x96044))
% 184.03/183.91 [9694]~P1(f317(f317(f224(a899),x96941),x96943))+~P1(f317(f317(f225(a899),x96942),x96944))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x96941),x96942)),f317(f317(f242(a899,a899),x96943),x96944))),a26))
% 184.03/183.91 [9695]~P1(f317(f317(f224(a899),x96952),x96954))+~P1(f317(f317(f224(a899),x96951),x96953))+P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),f317(f317(f242(a899,a899),x96951),x96952)),f317(f317(f242(a899,a899),x96953),x96954))),a65))
% 184.03/183.91 [9986]~P1(f317(f317(f319(f900(x99861)),x99864),f151(x99861,x99863)))+~P1(f317(f317(f319(f900(x99861)),x99864),f151(x99861,x99862)))+P1(f317(f150(x99861,f317(f317(f92(f906(x99861,a895)),f317(f317(f9(x99861,f906(x99861,a895),a895),f319(x99861)),x99862)),f317(f317(f9(x99861,f906(x99861,a895),a895),f319(x99861)),x99863))),x99864))
% 184.03/183.91 [10089]~P24(x100891,f906(f906(x100891,a895),a895),f317(f317(f9(x100891,f906(f905(x100891,x100891),a895),f906(f906(x100891,a895),a895)),f317(f317(f10(f906(x100891,a895),f906(f906(f905(x100891,x100891),a895),f906(f906(x100891,a895),a895)),x100891),f55(x100891)),f317(f317(f9(x100891,f906(x100891,a895),f906(x100891,a895)),f299(x100891)),f178(f906(x100891,a895))))),x100893),x100892)+~P1(f317(f317(f319(x100891),x100894),x100892))+E(f317(f317(f3(f906(f906(x100891,a895),a895)),f317(f317(f55(x100891),x100892),x100893)),f317(f317(f55(x100891),f317(f317(f299(x100891),x100894),f178(f906(x100891,a895)))),x100893)),f317(f317(f55(x100891),f317(f317(f3(f906(x100891,a895)),x100892),f317(f317(f299(x100891),x100894),f178(f906(x100891,a895))))),x100893))
% 184.03/183.91 [10225]~P52(x102251,x102252,x102254)+~P1(f317(f317(f319(f905(x102251,x102251)),x102253),x102254))+P1(f317(f317(f247(x102251,x102251,a895),f317(f317(f9(x102251,f906(x102251,a895),f906(x102251,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x102251,a895),f906(x102251,a895)),x102251),f10(a895,a895,x102251)),f317(f317(f10(a895,f906(a895,a895),x102251),a315),f317(f317(f9(x102251,f906(x102251,a895),a895),f319(x102251)),x102252)))),f317(f317(f9(x102251,f906(x102251,a895),a895),f319(x102251)),x102252))),x102253))
% 184.03/183.91 [10237]P1(f317(f28(x102371),x102372))+~P1(f317(f28(x102373),f317(f300(x102371,x102373,x102374),x102372)))+~P1(f317(f28(x102371),f317(f252(x102371),f317(f317(f20(x102371,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102371),a315),f317(f317(f9(x102371,f906(x102371,a895),a895),f319(x102371)),x102372))),f317(f317(f9(x102371,x102373,a895),f317(f317(f10(x102373,f906(x102373,a895),x102371),a314),x102374)),f317(x102374,f561(x102374,x102373,x102372,x102371)))))))
% 184.03/183.91 [8214]~P62(x82142)+E(x82141,f2(x82142))+E(f317(f317(f281(x82142),f317(f317(f3(x82142),f317(f317(f75(x82142),x82141),x82143)),x82144)),x82141),f317(f317(f3(x82142),x82143),f317(f317(f281(x82142),x82144),x82141)))
% 184.03/183.91 [8215]~P62(x82152)+E(x82151,f2(x82152))+E(f317(f317(f281(x82152),f317(f317(f74(x82152),f317(f317(f75(x82152),x82151),x82153)),x82154)),x82151),f317(f317(f74(x82152),x82153),f317(f317(f281(x82152),x82154),x82151)))
% 184.03/183.91 [9121]~E(f317(f317(f279(x91211,x91211,x91211),x91213),x91214),f178(f906(f905(x91211,x91211),a895)))+~E(f317(f317(f279(x91211,x91211,x91211),x91212),x91214),f178(f906(f905(x91211,x91211),a895)))+E(f317(f317(f279(x91211,x91211,x91211),f317(f317(f91(f906(f905(x91211,x91211),a895)),x91212),x91213)),x91214),f178(f906(f905(x91211,x91211),a895)))
% 184.03/183.91 [9903]~P1(f317(f150(x99031,x99033),x99034))+~P1(f317(f150(x99031,x99032),x99034))+P1(f317(f150(x99031,f317(f317(f20(x99031,a895,a895),f317(f317(f10(a895,f906(a895,a895),x99031),a315),x99032)),x99033)),x99034))
% 184.03/183.91 [10163]P1(f317(x101631,f535(x101632,x101633,x101631,x101634)))+~P1(f317(f28(x101634),f317(f252(x101634),x101631)))+P1(f317(f28(x101633),f317(f252(x101633),f317(f317(f10(f906(x101634,a895),a895,x101633),f81(x101634)),f317(f317(f10(f906(x101634,a895),f906(x101634,a895),x101633),f317(f20(x101634,a895,a895),f317(f317(f10(a895,f906(a895,a895),x101634),a315),x101631))),x101632)))))
% 184.03/183.91 [10181]~P1(f317(f28(x101812),f317(f252(x101812),x101813)))+~P1(f317(f28(x101811),f317(f252(x101811),f317(f317(f9(x101811,x101812,a895),x101814),f535(x101814,x101811,x101813,x101812)))))+P1(f317(f28(x101811),f317(f252(x101811),f317(f317(f10(f906(x101812,a895),a895,x101811),f81(x101812)),f317(f317(f10(f906(x101812,a895),f906(x101812,a895),x101811),f317(f20(x101812,a895,a895),f317(f317(f10(a895,f906(a895,a895),x101812),a315),x101813))),x101814)))))
% 184.03/183.91 [10250]~P1(f317(f28(x102501),x102504))+P1(f317(f317(f319(x102501),f775(x102502,x102503,x102504,x102501)),x102504))+P1(f317(f28(x102503),f317(f252(x102503),f317(f317(f10(f906(x102501,a895),a895,x102503),f81(x102501)),f317(f317(f10(f906(x102501,a895),f906(x102501,a895),x102503),f317(f20(x102501,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102501),a315),f317(f317(f9(x102501,f906(x102501,a895),a895),f319(x102501)),x102504)))),x102502)))))
% 184.03/183.91 [10256]~P1(f317(f28(x102562),x102563))+~P1(f317(f28(x102561),f317(f252(x102561),f317(f317(f9(x102561,x102562,a895),x102564),f775(x102564,x102561,x102563,x102562)))))+P1(f317(f28(x102561),f317(f252(x102561),f317(f317(f10(f906(x102562,a895),a895,x102561),f81(x102562)),f317(f317(f10(f906(x102562,a895),f906(x102562,a895),x102561),f317(f20(x102562,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102562),a315),f317(f317(f9(x102562,f906(x102562,a895),a895),f319(x102562)),x102563)))),x102564)))))
% 184.03/183.91 [5106]~E(x51062,x51064)+E(f159(x51061,x51062,x51063),f159(x51061,x51064,x51065))+~E(x51062,f2(a899))
% 184.03/183.91 [5353]E(x53531,x53532)+~E(f159(x53534,x53533,x53531),f159(x53534,x53535,x53532))+E(x53533,f2(a899))
% 184.03/183.91 [6647]E(x66471,x66472)+~E(f317(x66473,x66471),f317(x66473,x66472))+~P24(x66474,x66475,x66473,f232(f906(x66474,a895)))
% 184.03/183.91 [7558]E(x75581,x75582)+~P24(x75583,x75584,x75585,f232(f906(x75583,a895)))+~E(f317(f300(x75583,x75584,x75585),x75581),f317(f300(x75583,x75584,x75585),x75582))
% 184.03/183.91 [7812]P24(x78122,x78123,f501(x78124,x78123,x78122,x78121),x78121)+~E(f317(f300(x78123,x78122,x78125),x78124),x78121)+E(x78121,f178(f906(x78122,a895)))
% 184.03/183.91 [8344]~P1(f317(f317(x83443,x83442),x83445))+~P1(f317(f317(x83443,x83444),x83442))+P1(f317(f317(f319(x83441),x83442),f289(x83441,x83443,x83444,x83445)))
% 184.03/183.91 [8345]~P1(f317(f317(x83453,x83452),x83455))+~P1(f317(f317(x83453,x83454),x83452))+P1(f317(f317(f319(x83451),x83452),f280(x83451,x83453,x83454,x83455)))
% 184.03/183.91 [8652]~P24(x86521,x86522,x86523,x86524)+P25(x86521,x86522,x86523,x86524,x86525)+~E(f317(f300(x86521,x86522,x86523),x86524),x86525)
% 184.03/183.91 [8785]~P25(x87851,x87853,x87854,x87852,x87855)+~P1(f317(f28(x87853),x87855))+P1(f317(f28(x87851),x87852))
% 184.03/183.91 [8786]~P25(x87863,x87861,x87864,x87865,x87862)+~P1(f317(f28(x87863),x87865))+P1(f317(f28(x87861),x87862))
% 184.03/183.91 [8918]~P24(x89181,x89183,x89185,f232(f906(x89181,a895)))+~P24(x89183,x89182,x89184,f232(f906(x89183,a895)))+P24(x89181,x89182,f317(f67(x89183,x89182,x89181,x89184),x89185),f232(f906(x89181,a895)))
% 184.03/183.91 [9487]P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94873)),f297(x94871,x94874)))+~P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94875)),f297(x94871,x94874)))+~P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94875),x94873)),f297(x94871,x94874)))
% 184.03/183.91 [9527]~P107(x95272)+~P1(f317(f127(x95271),x95275))+P1(f317(f127(x95271),f139(x95271,x95272,x95273,x95274,x95275)))
% 184.03/183.91 [5430]~E(x54302,f103(x54301))+E(f317(f317(f124(x54301),x54302),x54303),f317(f317(f141(x54301),x54304),x54305))+~E(x54303,f317(f317(f141(x54301),x54304),x54305))
% 184.03/183.91 [5431]~E(x54312,f103(x54311))+E(f317(f317(f124(x54311),x54312),x54313),f317(f317(f141(x54311),x54314),x54315))+~E(f317(f317(f141(x54311),x54314),x54315),x54313)
% 184.03/183.91 [6603]~E(f317(f179(f900(x66031)),x66035),f317(f179(f900(x66032)),x66034))+E(f317(f317(f144(f905(x66031,x66032),x66032),f246(x66031,x66032)),x66033),x66034)+~E(f317(f317(f171(x66031,x66032),x66035),x66034),x66033)
% 184.03/183.91 [6604]~E(f317(f179(f900(x66041)),x66044),f317(f179(f900(x66042)),x66045))+E(f317(f317(f144(f905(x66041,x66042),x66041),f241(x66041,x66042)),x66043),x66044)+~E(f317(f317(f171(x66041,x66042),x66044),x66045),x66043)
% 184.03/183.91 [7094]~P107(x70941)+~P13(x70941,f317(f317(f144(x70942,x70941),x70943),x70945))+P13(x70941,f317(f317(f144(x70942,x70941),x70943),f317(f126(x70942,x70944),x70945)))
% 184.03/183.91 [7236]~P107(x72361)+P13(x72361,f317(f317(f144(x72362,x72361),x72363),f160(x72362,x72364,x72365)))+~P13(x72361,f317(f317(f144(x72362,x72361),x72363),x72365))
% 184.03/183.91 [7259]~P54(x72593,x72592,x72595)+~P54(x72591,x72593,x72594)+P54(x72591,x72592,f317(f317(f279(x72591,x72593,x72592),x72594),x72595))
% 184.03/183.91 [7354]E(x73541,x73542)+~P24(x73543,x73544,x73545,f232(f906(x73543,a895)))+~E(f317(f317(f144(x73543,x73544),x73545),x73541),f317(f317(f144(x73543,x73544),x73545),x73542))
% 184.03/183.91 [7513]~P1(f317(f317(f224(a899),x75131),f317(x75133,x75135)))+P1(f317(f317(f224(a899),x75131),f145(x75132,x75133,x75134)))+~P1(f317(f317(f319(x75132),x75135),f317(f162(x75132),x75134)))
% 184.03/183.91 [7514]~P1(f317(f317(f225(a899),x75141),f317(x75143,x75145)))+P1(f317(f317(f225(a899),x75141),f145(x75142,x75143,x75144)))+~P1(f317(f317(f319(x75142),x75145),f317(f162(x75142),x75144)))
% 184.03/183.91 [7909]P1(f317(x79091,x79092))+~P1(f317(x79091,x79093))+~P1(f317(f317(f319(x79094),x79092),f317(f162(x79094),f159(x79094,x79095,x79093))))
% 184.03/183.91 [7910]P1(f317(x79101,x79102))+~P1(f317(x79101,x79103))+~P1(f317(f317(f319(x79104),x79103),f317(f162(x79104),f159(x79104,x79105,x79102))))
% 184.03/183.91 [7915]~P109(x79151)+P1(f317(f317(f224(f906(x79151,a895)),f293(x79151,x79152,x79153)),f293(x79151,x79154,x79155)))+P1(f317(f317(f224(x79151),x79152),x79153))
% 184.03/183.91 [7936]~P5(x79361)+P1(f317(f317(f224(x79361),f317(f317(f34(x79362,x79361),x79363),x79364)),f317(x79364,x79365)))+~P1(f317(f317(f319(x79362),x79365),x79363))
% 184.03/183.91 [8005]~P24(x80051,x80052,x80054,x80053)+E(f317(f71(x80051,x80052,x80053,x80054),f317(x80054,x80055)),x80055)+~P1(f317(f317(f319(x80051),x80055),x80053))
% 184.03/183.91 [8006]~P24(x80061,x80062,x80064,x80063)+E(f317(f85(x80061,x80062,x80063,x80064),f317(x80064,x80065)),x80065)+~P1(f317(f317(f319(x80061),x80065),x80063))
% 184.03/183.91 [8203]~P1(f317(x82031,x82035))+P1(f317(x82031,f384(x82031,x82032,x82033,x82034)))+~P1(f317(f317(f319(x82034),x82035),x82033))
% 184.03/183.91 [8204]~P1(f317(x82041,x82045))+P1(f317(x82041,f384(x82041,x82042,x82043,x82044)))+~P1(f317(f317(f319(x82044),x82045),x82042))
% 184.03/183.91 [8298]P1(f317(f28(x82981),x82982))+~P1(f317(f28(x82983),x82984))+~P1(f317(f317(f224(f906(x82981,a895)),x82982),f317(f300(x82983,x82981,x82985),x82984)))
% 184.03/183.91 [8466]E(x84661,x84662)+~P24(x84663,x84664,x84665,f317(f317(f91(f906(x84663,a895)),f317(f162(x84663),x84661)),f317(f162(x84663),x84662)))+~E(f317(f317(f144(x84663,x84664),x84665),x84661),f317(f317(f144(x84663,x84664),x84665),x84662))
% 184.03/183.91 [8520]~P109(x85201)+~P1(f317(f317(f225(f906(x85201,a895)),f293(x85201,x85204,x85205)),f293(x85201,x85202,x85203)))+P1(f317(f317(f224(x85201),x85202),x85203))
% 184.03/183.91 [8582]~P24(x85821,x85824,x85825,f232(f906(x85821,a895)))+~P1(f317(f317(f319(x85824),f317(x85825,x85822)),f317(f300(x85821,x85824,x85825),x85823)))+P1(f317(f317(f319(x85821),x85822),x85823))
% 184.03/183.91 [8658]P1(f317(x86581,x86582))+~P1(f317(x86581,f385(x86581,x86583,x86584,x86585)))+~P1(f317(f317(f319(x86585),x86582),x86584))
% 184.03/183.91 [8659]P1(f317(x86591,x86592))+~P1(f317(x86591,f385(x86591,x86593,x86594,x86595)))+~P1(f317(f317(f319(x86595),x86592),x86593))
% 184.03/183.91 [8958]~P24(x89582,x89583,x89581,x89584)+E(f317(x89581,f317(f71(x89582,x89583,x89584,x89581),x89585)),x89585)+~P1(f317(f317(f319(x89583),x89585),f317(f300(x89582,x89583,x89581),x89584)))
% 184.03/183.91 [9061]E(x90611,f103(x90612))+E(f317(f317(f141(x90612),x90613),f660(x90614,x90613,x90615,x90611,x90612)),x90611)+~E(f317(f317(f124(x90612),x90611),x90615),f317(f317(f141(x90612),x90613),x90614))
% 184.03/183.91 [9062]E(x90621,f103(x90622))+E(f317(f317(f141(x90622),x90623),f661(x90624,x90621,x90625,x90623,x90622)),x90621)+~E(f317(f317(f124(x90622),x90621),x90624),f317(f317(f141(x90622),x90623),x90625))
% 184.03/183.91 [9080]E(f317(f317(f141(x90802),x90803),f660(x90804,x90803,x90801,x90805,x90802)),x90805)+~E(f317(f317(f124(x90802),x90805),x90801),f317(f317(f141(x90802),x90803),x90804))+E(x90801,f317(f317(f141(x90802),x90803),x90804))
% 184.03/183.91 [9081]E(f317(f317(f141(x90811),x90812),f661(x90814,x90815,x90813,x90812,x90811)),x90815)+~E(f317(f317(f124(x90811),x90815),x90814),f317(f317(f141(x90811),x90812),x90813))+E(f317(f317(f141(x90811),x90812),x90813),x90814)
% 184.03/183.91 [9157]~E(f317(f300(x91573,x91572,x91574),f232(f906(x91573,a895))),f232(f906(x91572,a895)))+~E(f317(f300(x91571,x91573,x91575),f232(f906(x91571,a895))),f232(f906(x91573,a895)))+E(f317(f300(x91571,x91572,f317(f67(x91573,x91572,x91571,x91574),x91575)),f232(f906(x91571,a895))),f232(f906(x91572,a895)))
% 184.03/183.91 [9393]E(f317(f300(x93931,x93932,x93933),f402(x93934,x93933,x93931,x93935,x93932)),x93935)+~P1(f317(f28(x93932),x93935))+~P1(f317(f317(f224(f906(x93932,a895)),x93935),f317(f300(x93931,x93932,x93933),x93934)))
% 184.03/183.91 [9533]E(x95331,f103(x95332))+~E(f317(f317(f124(x95332),x95331),x95333),f317(f317(f141(x95332),x95335),x95334))+E(f317(f317(f124(x95332),f661(x95333,x95331,x95334,x95335,x95332)),x95333),x95334)
% 184.03/183.91 [9534]E(x95341,f103(x95342))+~E(f317(f317(f124(x95342),x95341),x95345),f317(f317(f141(x95342),x95344),x95343))+E(f317(f317(f124(x95342),f660(x95343,x95344,x95345,x95341,x95342)),x95345),x95343)
% 184.03/183.91 [9541]E(f317(f317(f124(x95412),f660(x95414,x95413,x95411,x95415,x95412)),x95411),x95414)+~E(f317(f317(f124(x95412),x95415),x95411),f317(f317(f141(x95412),x95413),x95414))+E(x95411,f317(f317(f141(x95412),x95413),x95414))
% 184.03/183.91 [9542]~E(f317(f317(f124(x95421),x95425),x95424),f317(f317(f141(x95421),x95422),x95423))+E(f317(f317(f124(x95421),f661(x95424,x95425,x95423,x95422,x95421)),x95424),x95423)+E(f317(f317(f141(x95421),x95422),x95423),x95424)
% 184.03/183.91 [9543]E(f317(f317(f124(x95431),x95435),f663(x95433,x95432,x95434,x95435,x95431)),x95432)+E(f317(f317(f124(x95431),x95432),f662(x95433,x95432,x95434,x95435,x95431)),x95435)+~E(f317(f317(f124(x95431),x95435),x95434),f317(f317(f124(x95431),x95432),x95433))
% 184.03/183.91 [9580]~P107(x95801)+P13(x95801,f317(f317(f144(x95802,x95801),x95803),f139(x95802,x95801,x95803,x95804,x95805)))+~P13(x95801,f317(f317(f144(x95802,x95801),x95803),x95805))
% 184.03/183.91 [9599]~P58(x95995,x95991,x95994,x95993)+P1(f317(f317(x95991,x95992),f519(x95993,x95994,x95991,x95995,x95992)))+~P1(f317(f317(f319(x95995),x95992),x95994))
% 184.03/183.91 [9600]~P58(x96005,x96001,x96004,x96003)+P1(f317(f317(x96001,x96002),f781(x96003,x96004,x96001,x96005,x96002)))+~P1(f317(f317(f319(x96005),x96002),x96004))
% 184.03/183.91 [9654]~P1(f317(f28(x96545),x96544))+P1(f317(f28(x96541),f402(x96542,x96543,x96541,x96544,x96545)))+~P1(f317(f317(f224(f906(x96545,a895)),x96544),f317(f300(x96541,x96545,x96543),x96542)))
% 184.03/183.91 [9706]~P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97065),x97063)),f297(x97061,x97064)))+P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97063)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064))))+~P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97065)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064))))
% 184.03/183.91 [9707]~P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97075)),f297(x97071,x97074)))+P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074))))+~P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97075),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074))))
% 184.03/183.91 [9709]P1(f317(f317(f319(f905(f900(x97091),f900(x97091))),f317(f317(f242(f900(x97091),f900(x97091)),x97092),x97093)),f148(x97091,f297(x97091,x97094))))+~P1(f317(f317(f319(f905(f900(x97091),f900(x97091))),f317(f317(f242(f900(x97091),f900(x97091)),x97092),x97095)),f148(x97091,f297(x97091,x97094))))+~P1(f317(f317(f319(f905(f900(x97091),f900(x97091))),f317(f317(f242(f900(x97091),f900(x97091)),x97095),x97093)),f148(x97091,f297(x97091,x97094))))
% 184.03/183.91 [9713]E(f317(f317(f124(x97131),x97132),f662(x97133,x97132,x97134,x97135,x97131)),x97135)+E(f317(f317(f124(x97131),f663(x97133,x97132,x97134,x97135,x97131)),x97133),x97134)+~E(f317(f317(f124(x97131),x97132),x97133),f317(f317(f124(x97131),x97135),x97134))
% 184.03/183.91 [9714]E(f317(f317(f124(x97141),x97142),f663(x97143,x97144,x97145,x97142,x97141)),x97144)+E(f317(f317(f124(x97141),f662(x97143,x97144,x97145,x97142,x97141)),x97145),x97143)+~E(f317(f317(f124(x97141),x97142),x97145),f317(f317(f124(x97141),x97144),x97143))
% 184.03/183.91 [9768]P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97682),x97683)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684))))+~P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97682),x97685)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684))))+~P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97685),x97683)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684))))
% 184.03/183.91 [9795]P33(x97951,x97952,x97953,x97954,x97955)+~E(f317(f179(f900(x97951)),x97954),f317(f179(f900(x97952)),x97955))+~P1(f317(f317(f247(x97951,x97952,a895),x97953),f681(x97955,x97954,x97953,x97952,x97951)))
% 184.03/183.91 [9796]P33(x97961,x97962,x97963,x97964,x97965)+~E(f317(f179(f900(x97961)),x97964),f317(f179(f900(x97962)),x97965))+~P1(f317(f317(f247(x97961,x97962,a895),x97963),f682(x97963,x97965,x97964,x97962,x97961)))
% 184.03/183.91 [9801]E(f317(f317(f124(x98011),f662(x98012,x98013,x98014,x98015,x98011)),x98014),x98012)+~E(f317(f317(f124(x98011),x98013),x98012),f317(f317(f124(x98011),x98015),x98014))+E(f317(f317(f124(x98011),f663(x98012,x98013,x98014,x98015,x98011)),x98012),x98014)
% 184.03/183.91 [9816]~P107(x98162)+E(f317(f317(f138(x98161,x98162,x98163),x98164),x98165),f317(f317(f141(x98161),x98164),x98165))+P1(f317(f317(f319(x98161),f724(x98164,x98163,x98165,x98161,x98162)),f317(f162(x98161),x98165)))
% 184.03/183.91 [9820]~P58(x98201,x98204,x98203,x98202)+~P1(f317(f317(f319(x98201),x98205),x98203))+P1(f317(f317(f319(x98201),f519(x98202,x98203,x98204,x98201,x98205)),x98202))
% 184.03/183.91 [9821]~P58(x98211,x98214,x98213,x98212)+~P1(f317(f317(f319(x98211),x98215),x98213))+P1(f317(f317(f319(x98211),f781(x98212,x98213,x98214,x98211,x98215)),x98212))
% 184.03/183.91 [9875]~P1(f317(f28(x98755),x98754))+~P1(f317(f317(f224(f906(x98755,a895)),x98754),f317(f300(x98751,x98755,x98753),x98752)))+P1(f317(f317(f224(f906(x98751,a895)),f402(x98752,x98753,x98751,x98754,x98755)),x98752))
% 184.03/183.91 [9936]~P1(f317(f317(f319(f905(f906(x99361,a895),f906(x99361,a895))),f317(f317(f242(f906(x99361,a895),f906(x99361,a895)),x99364),x99363)),f308(x99361,x99362)))+~P1(f317(f317(f319(x99361),x99365),x99364))+P1(f317(f317(f319(x99361),f592(x99362,x99363,x99364,x99361,x99365)),x99363))
% 184.03/183.91 [9946]~P107(x99462)+E(f317(f317(f138(x99461,x99462,x99463),x99464),x99465),f317(f317(f141(x99461),x99464),x99465))+~P1(f317(f317(f224(x99462),f317(x99463,x99464)),f317(x99463,f724(x99464,x99463,x99465,x99461,x99462))))
% 184.03/183.91 [9995]~P24(x99953,x99954,x99955,f232(f906(x99953,a895)))+P1(f317(x99951,x99952))+~P1(f317(x99951,f317(f85(x99953,x99954,f232(f906(x99953,a895)),x99955),f794(x99952,x99951,x99955,x99954,x99953))))
% 184.03/183.91 [10140]P33(x101401,x101402,x101403,x101404,x101405)+~E(f317(f179(f900(x101401)),x101404),f317(f179(f900(x101402)),x101405))+~P1(f317(f317(x101403,f317(f317(f154(x101401),x101404),f683(x101405,x101404,x101403,x101402,x101401))),f317(f317(f154(x101402),x101405),f683(x101405,x101404,x101403,x101402,x101401))))
% 184.03/183.91 [10141]P33(x101411,x101412,x101413,x101414,x101415)+~E(f317(f179(f900(x101411)),x101414),f317(f179(f900(x101412)),x101415))+~P1(f317(f317(x101413,f317(f317(f154(x101411),x101414),f718(x101413,x101415,x101412,x101414,x101411))),f317(f317(f154(x101412),x101415),f718(x101413,x101415,x101412,x101414,x101411))))
% 184.03/183.91 [6678]~P17(x66782,x66785,x66781)+~P1(f317(f28(x66782),x66784))+E(f317(x66781,f317(f317(f299(x66782),x66783),x66784)),f317(f317(f58(x66782,x66782,x66785),x66783),x66784))
% 184.03/183.91 [6679]~E(x66793,x66794)+~E(x66792,x66795)+E(f317(f317(f299(x66791),x66792),f317(f317(f299(x66791),x66793),f178(f906(x66791,a895)))),f317(f317(f299(x66791),x66794),f317(f317(f299(x66791),x66795),f178(f906(x66791,a895)))))
% 184.03/183.91 [6690]P1(f317(x66902,x66905))+E(f167(x66901,x66902,f317(f317(f124(x66901),x66903),x66904)),f167(x66901,x66902,x66903))+~P1(f317(f317(f319(x66901),x66905),f317(f162(x66901),x66903)))
% 184.03/183.91 [6728]E(f317(x67281,x67282),f178(f906(x67283,a895)))+~E(f317(f317(f35(x67284,f906(x67283,a895)),x67285),x67281),f178(f906(x67283,a895)))+~P1(f317(f317(f319(x67284),x67282),x67285))
% 184.03/183.91 [6729]E(f317(x67291,x67292),f232(f906(x67293,a895)))+~E(f317(f317(f34(x67294,f906(x67293,a895)),x67295),x67291),f232(f906(x67293,a895)))+~P1(f317(f317(f319(x67294),x67292),x67295))
% 184.03/183.91 [7246]~E(x72462,x72464)+~P143(x72461)+E(f317(f317(f74(x72461),f317(f317(f75(x72461),x72462),x72463)),f317(f317(f75(x72461),x72464),x72465)),f317(f317(f74(x72461),f317(f317(f75(x72461),x72462),x72465)),f317(f317(f75(x72461),x72464),x72463)))
% 184.03/183.91 [7308]~P5(x73081)+~P1(f317(f317(f319(x73084),x73083),x73085))+P1(f317(f317(f224(x73081),f317(x73082,x73083)),f317(f317(f35(x73084,x73081),x73085),x73082)))
% 184.03/183.91 [7359]~P108(x73591)+P1(f317(f317(f224(x73591),f317(x73592,x73593)),f317(x73594,x73593)))+~P1(f317(f317(f224(f906(x73595,x73591)),x73592),x73594))
% 184.03/183.91 [7482]E(x74821,x74822)+E(x74823,x74821)+~E(f317(f317(f299(x74824),x74821),f317(f317(f299(x74824),x74825),f178(f906(x74824,a895)))),f317(f317(f299(x74824),x74822),f317(f317(f299(x74824),x74823),f178(f906(x74824,a895)))))
% 184.03/183.91 [7483]E(x74831,x74832)+E(x74833,x74831)+~E(f317(f317(f299(x74834),x74833),f317(f317(f299(x74834),x74832),f178(f906(x74834,a895)))),f317(f317(f299(x74834),x74835),f317(f317(f299(x74834),x74831),f178(f906(x74834,a895)))))
% 184.03/183.91 [7484]E(x74841,x74842)+E(x74841,x74843)+~E(f317(f317(f299(x74844),x74843),f317(f317(f299(x74844),x74842),f178(f906(x74844,a895)))),f317(f317(f299(x74844),x74845),f317(f317(f299(x74844),x74841),f178(f906(x74844,a895)))))
% 184.03/183.91 [7485]E(x74851,x74852)+E(x74851,x74853)+~E(f317(f317(f299(x74854),x74851),f317(f317(f299(x74854),x74855),f178(f906(x74854,a895)))),f317(f317(f299(x74854),x74852),f317(f317(f299(x74854),x74853),f178(f906(x74854,a895)))))
% 184.03/183.91 [8015]P24(x80151,x80152,x80153,x80154)+~P24(x80151,x80152,x80153,x80155)+~P1(f317(f317(f224(f906(x80151,a895)),x80154),x80155))
% 184.03/183.91 [8045]~E(f317(x80453,x80455),x80454)+~P24(x80451,x80452,x80453,f232(f906(x80451,a895)))+E(f317(f85(x80451,x80452,f232(f906(x80451,a895)),x80453),x80454),x80455)
% 184.03/183.91 [8191]E(x81911,x81912)+~E(f317(f300(x81913,x81914,x81915),x81911),f317(f300(x81913,x81914,x81915),x81912))+~P24(x81913,x81914,x81915,f317(f317(f91(f906(x81913,a895)),x81911),x81912))
% 184.03/183.91 [8268]P1(f317(x82682,x82684))+E(f317(f317(f128(x82681),f317(f179(f900(x82681)),f167(x82681,x82682,x82683))),x82683),f317(f317(f141(x82681),x82684),x82685))+~E(f317(f317(f124(x82681),f167(x82681,x82682,x82683)),f317(f317(f141(x82681),x82684),x82685)),x82683)
% 184.03/183.91 [8296]~P24(x82961,x82962,x82963,x82965)+~P24(x82961,x82962,x82963,x82964)+P24(x82961,x82962,x82963,f317(f317(f92(f906(x82961,a895)),x82964),x82965))
% 184.03/183.91 [8404]~P70(x84041)+E(f317(f317(f74(x84041),f317(x84042,x84043)),f317(f155(x84041),f317(f317(f144(x84044,x84041),x84042),f160(x84044,x84043,x84045)))),f317(f155(x84041),f317(f317(f144(x84044,x84041),x84042),x84045)))+~P1(f317(f317(f319(x84044),x84043),f317(f162(x84044),x84045)))
% 184.03/183.91 [8492]~P107(x84921)+~P13(x84921,f317(f317(f144(x84922,x84921),x84923),x84925))+P13(x84921,f317(f317(f144(x84922,x84921),x84923),f317(f317(f138(x84922,x84921,x84923),x84924),x84925)))
% 184.03/183.91 [8578]~P5(x85781)+P1(f317(f317(f224(x85781),f317(f317(f34(x85782,x85781),x85783),x85784)),f317(f317(f34(x85782,x85781),x85785),x85784)))+~P1(f317(f317(f224(f906(x85782,a895)),x85785),x85783))
% 184.03/183.91 [8579]~P5(x85791)+P1(f317(f317(f224(x85791),f317(f317(f35(x85792,x85791),x85793),x85794)),f317(f317(f35(x85792,x85791),x85795),x85794)))+~P1(f317(f317(f224(f906(x85792,a895)),x85793),x85795))
% 184.03/183.91 [8612]~P107(x86123)+P1(f317(f127(x86121),x86122))+~P1(f317(f127(x86121),f317(f317(f138(x86121,x86123,x86124),x86125),x86122)))
% 184.03/183.91 [8757]~P107(x87571)+~P1(f317(f317(f319(x87572),x87573),f317(f162(x87572),x87574)))+~P1(f317(f127(x87572),f317(f317(f138(x87572,x87571,x87575),x87573),x87574)))
% 184.03/183.91 [8847]~P107(x88471)+P13(x88471,f317(f317(f144(x88472,x88471),x88473),x88474))+~P13(x88471,f317(f317(f144(x88472,x88471),x88473),f317(f317(f138(x88472,x88471,x88473),x88475),x88474)))
% 184.03/183.91 [8893]~P24(x88932,x88931,x88934,x88933)+E(f317(f300(x88931,x88932,f85(x88932,x88931,x88933,x88934)),f317(f300(x88932,x88931,x88934),x88935)),x88935)+~P1(f317(f317(f224(f906(x88932,a895)),x88935),x88933))
% 184.03/183.91 [8946]~P107(x89462)+E(f317(f317(f138(x89461,x89462,x89463),x89464),x89465),f139(x89461,x89462,x89463,x89464,x89465))+P1(f317(f317(f319(x89462),f317(x89463,x89464)),f317(f300(x89461,x89462,x89463),f317(f162(x89461),x89465))))
% 184.03/183.91 [9027]~P107(x90272)+E(f139(x90271,x90272,x90273,x90274,x90275),x90275)+~P1(f317(f317(f319(x90272),f317(x90273,x90274)),f317(f300(x90271,x90272,x90273),f317(f162(x90271),x90275))))
% 184.03/183.91 [9041]~P24(x90412,x90411,x90413,x90415)+P1(f317(f317(f225(f906(x90411,a895)),f317(f300(x90412,x90411,x90413),x90414)),f317(f300(x90412,x90411,x90413),x90415)))+~P1(f317(f317(f225(f906(x90412,a895)),x90414),x90415))
% 184.03/183.91 [9198]~P24(x91981,x91982,x91983,f232(f906(x91981,a895)))+~P1(f317(f317(f224(f906(x91982,a895)),x91984),f317(f300(x91981,x91982,x91983),x91985)))+P1(f317(f317(f224(f906(x91981,a895)),f317(f301(x91981,x91982,x91983),x91984)),x91985))
% 184.03/183.91 [9221]~E(f317(f300(x92213,x92211,x92214),f232(f906(x92213,a895))),f232(f906(x92211,a895)))+P1(f317(f317(f224(f906(x92211,a895)),x92212),f317(f300(x92213,x92211,x92214),x92215)))+~P1(f317(f317(f224(f906(x92213,a895)),f317(f301(x92213,x92211,x92214),x92212)),x92215))
% 184.03/183.91 [9328]~P24(x93281,x93284,x93285,f232(f906(x93281,a895)))+~P1(f317(f317(f224(f906(x93284,a895)),f317(f300(x93281,x93284,x93285),x93282)),f317(f300(x93281,x93284,x93285),x93283)))+P1(f317(f317(f224(f906(x93281,a895)),x93282),x93283))
% 184.03/183.91 [9455]~P81(x94551)+~E(f317(x94553,f702(x94553,x94554,x94555,x94552,x94551)),f2(x94551))+E(f317(f155(x94551),f317(f317(f144(x94552,x94551),x94553),f317(f126(x94552,x94554),x94555))),f317(f155(x94551),f317(f317(f144(x94552,x94551),x94553),x94555)))
% 184.03/183.91 [9482]~P25(x94821,x94822,x94823,f232(f906(x94821,a895)),f232(f906(x94822,a895)))+~P1(f317(f317(f224(f906(x94822,a895)),x94824),f317(f300(x94821,x94822,x94823),x94825)))+P1(f317(f317(f224(f906(x94821,a895)),f317(f301(x94821,x94822,x94823),x94824)),x94825))
% 184.03/183.91 [9511]~P25(x95113,x95111,x95114,f232(f906(x95113,a895)),f232(f906(x95111,a895)))+P1(f317(f317(f224(f906(x95111,a895)),x95112),f317(f300(x95113,x95111,x95114),x95115)))+~P1(f317(f317(f224(f906(x95113,a895)),f317(f301(x95113,x95111,x95114),x95112)),x95115))
% 184.03/183.91 [9646]~P16(x96461,x96462,x96463)+~P1(f317(f28(x96461),x96465))+P1(f317(f60(x96461,x96462,x96463,x96464,x96465),f317(f317(f58(x96461,x96462,x96463),x96464),x96465)))
% 184.03/183.91 [9726]~P25(x97262,x97261,x97264,f232(f906(x97262,a895)),f232(f906(x97261,a895)))+~P25(x97261,x97263,x97265,f232(f906(x97261,a895)),f232(f906(x97263,a895)))+E(f317(f67(x97261,x97262,x97263,f85(x97262,x97261,f232(f906(x97262,a895)),x97264)),f85(x97261,x97263,f232(f906(x97261,a895)),x97265)),f85(x97262,x97263,f232(f906(x97262,a895)),f317(f67(x97261,x97263,x97262,x97265),x97264)))
% 184.03/183.91 [9727]P1(f317(x97271,f626(x97272,x97271,x97273,x97274,x97275)))+~P1(f317(f317(f224(f906(x97275,a895)),x97274),x97273))+P1(f317(f317(f224(f906(x97275,a895)),f317(f317(f92(f906(x97275,a895)),x97274),f317(f252(x97275),x97271))),f317(f317(f92(f906(x97275,a895)),x97273),f317(f252(x97275),x97272))))
% 184.03/183.91 [9741]~P81(x97411)+~P1(f317(x97414,f702(x97413,x97414,x97415,x97412,x97411)))+E(f317(f155(x97411),f317(f317(f144(x97412,x97411),x97413),f317(f126(x97412,x97414),x97415))),f317(f155(x97411),f317(f317(f144(x97412,x97411),x97413),x97415)))
% 184.03/183.91 [9818]~P5(x98185)+P1(f317(f317(f319(x98181),f475(x98182,x98183,x98181,x98184,x98185)),x98183))+P1(f317(f317(f224(x98185),x98184),f317(f317(f34(x98181,x98185),x98183),x98182)))
% 184.03/183.91 [9822]~P81(x98221)+E(f317(f155(x98221),f317(f317(f144(x98222,x98221),x98223),f317(f126(x98222,x98224),x98225))),f317(f155(x98221),f317(f317(f144(x98222,x98221),x98223),x98225)))+P1(f317(f317(f319(x98222),f702(x98223,x98224,x98225,x98222,x98221)),f317(f162(x98222),x98225)))
% 184.03/183.91 [9832]~P1(f317(x98325,f626(x98325,x98323,x98324,x98322,x98321)))+~P1(f317(f317(f224(f906(x98321,a895)),x98322),x98324))+P1(f317(f317(f224(f906(x98321,a895)),f317(f317(f92(f906(x98321,a895)),x98322),f317(f252(x98321),x98323))),f317(f317(f92(f906(x98321,a895)),x98324),f317(f252(x98321),x98325))))
% 184.03/183.91 [9848]~P24(x98485,x98483,x98484,f232(f906(x98485,a895)))+P1(f317(x98481,x98482))+P1(f317(f317(f319(x98483),f794(x98482,x98481,x98484,x98483,x98485)),f317(f300(x98485,x98483,x98484),f232(f906(x98485,a895)))))
% 184.03/183.91 [9871]P33(x98711,x98712,x98713,x98714,x98715)+~E(f317(f179(f900(x98712)),x98715),f317(f179(f900(x98711)),x98714))+P1(f317(f317(f225(a899),f683(x98715,x98714,x98713,x98712,x98711)),f317(f179(f900(x98711)),x98714)))
% 184.03/183.91 [9872]P33(x98721,x98722,x98723,x98724,x98725)+~E(f317(f179(f900(x98722)),x98725),f317(f179(f900(x98721)),x98724))+P1(f317(f317(f225(a899),f718(x98723,x98725,x98722,x98724,x98721)),f317(f179(f900(x98721)),x98724)))
% 184.03/183.91 [9904]P1(f317(f317(f319(x99041),f626(x99042,x99043,x99044,x99045,x99041)),x99045))+~P1(f317(f317(f224(f906(x99041,a895)),x99045),x99044))+P1(f317(f317(f224(f906(x99041,a895)),f317(f317(f92(f906(x99041,a895)),x99045),f317(f252(x99041),x99043))),f317(f317(f92(f906(x99041,a895)),x99044),f317(f252(x99041),x99042))))
% 184.03/183.91 [9947]~P5(x99471)+~P1(f317(f317(f224(x99471),x99472),f317(x99475,f475(x99475,x99474,x99473,x99472,x99471))))+P1(f317(f317(f224(x99471),x99472),f317(f317(f34(x99473,x99471),x99474),x99475)))
% 184.03/183.91 [9984]~P74(x99841)+~P1(f317(f28(x99842),x99845))+E(f317(f317(f317(f59(x99841,x99842,f75(x99841)),f317(f317(f20(x99842,x99841,x99841),f317(f317(f10(x99841,f906(x99841,x99841),x99842),f75(x99841)),x99843)),x99844)),f72(x99841)),x99845),f317(f317(f75(x99841),f317(f317(f317(f59(x99841,x99842,f75(x99841)),x99843),f72(x99841)),x99845)),f317(f317(f317(f59(x99841,x99842,f75(x99841)),x99844),f72(x99841)),x99845)))
% 184.03/183.91 [10039]~P1(f317(f317(f319(f905(f906(x100391,a895),f906(x100391,a895))),f317(f317(f242(f906(x100391,a895),f906(x100391,a895)),x100395),x100394)),f308(x100391,x100393)))+~P1(f317(f317(f319(x100391),x100392),x100395))+P1(f317(f317(f319(f905(x100391,x100391)),f317(f317(f242(x100391,x100391),x100392),f592(x100393,x100394,x100395,x100391,x100392))),x100393))
% 184.03/183.91 [10178]~P1(f317(f317(f319(f905(f900(x101781),f900(x101781))),f317(f317(f242(f900(x101781),f900(x101781)),f317(f317(f124(x101781),x101785),x101782)),f317(f317(f124(x101781),x101785),x101783))),f137(x101781,x101784)))+P1(f317(f317(f319(f905(f900(x101781),f900(x101781))),f317(f317(f242(f900(x101781),f900(x101781)),x101782),x101783)),f137(x101781,x101784)))+P1(f317(f317(f319(f905(x101781,x101781)),f317(f317(f242(x101781,x101781),f671(x101784,x101783,x101782,x101785,x101781)),f671(x101784,x101783,x101782,x101785,x101781))),x101784))
% 184.03/183.91 [7362]~E(x73623,x73625)+E(f317(f317(f154(x73621),f317(f317(f149(x73621,x73622),x73623),x73624)),x73625),x73624)+~P1(f317(f317(f225(a899),x73623),f317(f179(f900(x73621)),x73622)))
% 184.03/183.91 [7478]~E(f317(f317(f124(x74781),x74782),x74784),f317(f317(f124(x74781),x74783),x74785))+E(f317(f317(f165(x74781),f317(f179(f900(x74781)),x74782)),x74783),x74782)+P1(f317(f317(f224(a899),f317(f179(f900(x74781)),x74783)),f317(f179(f900(x74781)),x74782)))
% 184.03/183.91 [7976]~E(f317(f317(f124(x79761),x79762),x79764),f317(f317(f124(x79761),x79763),x79765))+E(f317(f317(f165(x79761),f317(f179(f900(x79761)),x79762)),x79763),x79762)+~P1(f317(f317(f224(a899),f317(f179(f900(x79761)),x79762)),f317(f179(f900(x79761)),x79763)))
% 184.03/183.91 [8000]~P1(f317(f28(x80001),f317(x80004,x80005)))+~P1(f317(f317(f319(x80002),x80005),x80003))+P1(f317(f28(x80001),f317(f317(f34(x80002,f906(x80001,a895)),x80003),x80004)))
% 184.03/183.91 [8175]~P52(x81751,x81753,x81755)+~P52(x81751,x81752,x81754)+P52(x81751,f317(f317(f91(f906(x81751,a895)),x81752),x81753),f317(f317(f91(f906(f905(x81751,x81751),a895)),x81754),x81755))
% 184.03/183.91 [8176]~P52(x81761,x81763,x81765)+~P52(x81761,x81762,x81764)+P52(x81761,f317(f317(f92(f906(x81761,a895)),x81762),x81763),f317(f317(f92(f906(f905(x81761,x81761),a895)),x81764),x81765))
% 184.03/183.91 [8533]E(f317(f317(f242(x85331,x85332),f317(f317(f154(x85331),x85333),x85334)),f317(f317(f154(x85332),x85335),x85334)),f317(f317(f154(f905(x85331,x85332)),f317(f317(f171(x85331,x85332),x85333),x85335)),x85334))+~P1(f317(f317(f225(a899),x85334),f317(f179(f900(x85331)),x85333)))+~P1(f317(f317(f225(a899),x85334),f317(f179(f900(x85332)),x85335)))
% 184.03/183.91 [8686]~P52(x86861,x86863,x86864)+P1(f317(f317(f319(x86861),x86862),x86863))+~P1(f317(f317(f319(f905(x86861,x86861)),f317(f317(f242(x86861,x86861),x86865),x86862)),x86864))
% 184.03/183.91 [8687]~P52(x86871,x86873,x86874)+P1(f317(f317(f319(x86871),x86872),x86873))+~P1(f317(f317(f319(f905(x86871,x86871)),f317(f317(f242(x86871,x86871),x86872),x86875)),x86874))
% 184.03/183.91 [8688]~P8(x86881,x86883,x86884)+P1(f317(f317(f319(x86881),x86882),x86883))+~P1(f317(f317(f319(f905(x86881,x86881)),f317(f317(f242(x86881,x86881),x86885),x86882)),x86884))
% 184.03/183.91 [8689]~P8(x86891,x86893,x86894)+P1(f317(f317(f319(x86891),x86892),x86893))+~P1(f317(f317(f319(f905(x86891,x86891)),f317(f317(f242(x86891,x86891),x86892),x86895)),x86894))
% 184.03/183.91 [8970]~P8(x89701,x89705,x89702)+E(f317(f275(x89701,x89701,x89702),f317(f317(f299(x89701),x89703),f178(f906(x89701,a895)))),f317(f275(x89701,x89701,x89702),f317(f317(f299(x89701),x89704),f178(f906(x89701,a895)))))+~P1(f317(f317(f319(f905(x89701,x89701)),f317(f317(f242(x89701,x89701),x89703),x89704)),x89702))
% 184.03/183.91 [9154]P1(f317(x91541,x91542))+~P1(f317(f317(f319(x91543),x91542),x91545))+P1(f317(f317(f319(x91543),f385(x91541,x91544,x91545,x91543)),f317(f317(f91(f906(x91543,a895)),x91545),x91544)))
% 184.03/183.91 [9155]P1(f317(x91551,x91552))+~P1(f317(f317(f319(x91553),x91552),x91554))+P1(f317(f317(f319(x91553),f385(x91551,x91554,x91555,x91553)),f317(f317(f91(f906(x91553,a895)),x91555),x91554)))
% 184.03/183.91 [9163]~P1(f317(x91632,x91635))+~P1(f317(f317(f319(x91631),x91635),x91634))+P1(f317(f317(f319(x91631),f384(x91632,x91633,x91634,x91631)),f317(f317(f91(f906(x91631,a895)),x91634),x91633)))
% 184.03/183.91 [9164]~P1(f317(x91642,x91645))+~P1(f317(f317(f319(x91641),x91645),x91643))+P1(f317(f317(f319(x91641),f384(x91642,x91643,x91644,x91641)),f317(f317(f91(f906(x91641,a895)),x91644),x91643)))
% 184.03/183.91 [9179]~P1(f317(f317(f224(f906(x91791,a895)),x91795),x91793))+~P1(f317(f317(f224(f906(x91791,a895)),x91792),x91794))+P1(f317(f317(f224(f906(x91791,a895)),f317(f317(f3(f906(x91791,a895)),x91792),x91793)),f317(f317(f3(f906(x91791,a895)),x91794),x91795)))
% 184.03/183.91 [9180]~P1(f317(f317(f224(f906(x91801,a895)),x91803),x91805))+~P1(f317(f317(f224(f906(x91801,a895)),x91802),x91804))+P1(f317(f317(f224(f906(x91801,a895)),f317(f317(f91(f906(x91801,a895)),x91802),x91803)),f317(f317(f91(f906(x91801,a895)),x91804),x91805)))
% 184.03/183.91 [9181]~P1(f317(f317(f224(f906(x91811,a895)),x91813),x91815))+~P1(f317(f317(f224(f906(x91811,a895)),x91812),x91814))+P1(f317(f317(f224(f906(x91811,a895)),f317(f317(f92(f906(x91811,a895)),x91812),x91813)),f317(f317(f92(f906(x91811,a895)),x91814),x91815)))
% 184.03/183.91 [9275]P1(f317(f317(f319(f905(x92751,x92751)),f317(f317(f242(x92751,x92751),x92752),x92753)),f311(x92751,x92754,x92755)))+~P1(f317(f317(f224(a899),f317(x92754,x92752)),f317(x92754,x92753)))+~P1(f317(f317(f319(f905(x92751,x92751)),f317(f317(f242(x92751,x92751),x92752),x92753)),x92755))
% 184.03/183.91 [9465]P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94652),x94653)),f297(x94651,x94654)))+~P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94652),x94655)),f297(x94651,x94654)))+~P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94655),x94653)),x94654))
% 184.03/183.91 [9466]P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94662),x94663)),f297(x94661,x94664)))+~P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94665),x94663)),f297(x94661,x94664)))+~P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94662),x94665)),x94664))
% 184.03/183.91 [9567]E(x95671,x95672)+E(f317(a102,f610(x95673,x95674,x95671,x95672,x95675)),x95674)+~P1(f317(f317(f319(f905(x95675,x95675)),f317(f317(f242(x95675,x95675),x95672),x95671)),f317(f317(f173(f905(x95675,x95675),a895),x95674),x95673)))
% 184.03/183.91 [9568]E(x95681,x95682)+E(f317(a102,f614(x95683,x95684,x95681,x95682,x95685)),x95684)+~P1(f317(f317(f319(f905(x95685,x95685)),f317(f317(f242(x95685,x95685),x95682),x95681)),f317(f317(f173(f905(x95685,x95685),a895),x95684),x95683)))
% 184.03/183.91 [9569]E(x95691,f2(a899))+E(f317(a102,f610(x95692,x95691,x95693,x95694,x95695)),x95691)+~P1(f317(f317(f319(f905(x95695,x95695)),f317(f317(f242(x95695,x95695),x95694),x95693)),f317(f317(f173(f905(x95695,x95695),a895),x95691),x95692)))
% 184.03/183.91 [9570]E(x95701,f2(a899))+E(f317(a102,f614(x95702,x95701,x95703,x95704,x95705)),x95701)+~P1(f317(f317(f319(f905(x95705,x95705)),f317(f317(f242(x95705,x95705),x95704),x95703)),f317(f317(f173(f905(x95705,x95705),a895),x95701),x95702)))
% 184.03/183.91 [9595]P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95952),x95953)),f317(f317(f279(x95951,x95951,x95951),x95954),f297(x95951,x95954))))+~P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95952),x95955)),x95954))+~P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95955),x95953)),x95954))
% 184.03/183.91 [9605]~P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96052),x96055)),f297(x96051,x96054)))+P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96052),x96053)),f317(f317(f279(x96051,x96051,x96051),x96054),f297(x96051,x96054))))+~P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96055),x96053)),x96054))
% 184.03/183.91 [9640]~P8(x96401,x96405,x96402)+~P1(f317(f317(f319(f905(x96401,x96401)),f317(f317(f242(x96401,x96401),x96403),x96404)),x96402))+P1(f317(f317(f224(f906(x96401,a895)),f317(f275(x96401,x96401,x96402),f317(f317(f299(x96401),x96403),f178(f906(x96401,a895))))),f317(f275(x96401,x96401,x96402),f317(f317(f299(x96401),x96404),f178(f906(x96401,a895))))))
% 184.03/183.91 [9699]P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96992),x96993)),f317(f317(f279(x96991,x96991,x96991),x96994),f297(x96991,x96994))))+~P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96992),x96995)),f317(f317(f279(x96991,x96991,x96991),x96994),f297(x96991,x96994))))+~P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96995),x96993)),x96994))
% 184.03/183.91 [9700]P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97002),x97003)),f317(f317(f279(x97001,x97001,x97001),x97004),f297(x97001,x97004))))+~P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97005),x97003)),f317(f317(f279(x97001,x97001,x97001),x97004),f297(x97001,x97004))))+~P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97002),x97005)),x97004))
% 184.03/183.91 [9750]~P1(f317(f60(x97501,x97501,x97504,x97502,x97503),x97505))+P1(f317(f317(f319(x97501),x97502),x97503))+P1(f317(f56(x97501,x97504,f317(f317(f299(x97501),x97502),x97503)),x97505))
% 184.03/183.91 [9788]~E(f317(f300(x97883,x97882,x97885),x97884),x97881)+E(x97881,f178(f906(x97882,a895)))+P1(f317(f317(f224(f906(x97883,a895)),f317(f300(x97882,x97883,f501(x97884,x97883,x97882,x97881)),x97881)),x97884))
% 184.03/183.91 [9835]~P5(x98355)+P1(f317(f317(f319(x98351),f477(x98352,x98353,x98354,x98351,x98355)),x98354))+P1(f317(f317(f224(x98355),f317(f317(f35(x98351,x98355),x98354),x98353)),x98352))
% 184.03/183.91 [9891]P33(x98911,x98912,x98913,x98914,x98915)+~E(f317(f179(f900(x98911)),x98914),f317(f179(f900(x98912)),x98915))+P1(f317(f317(f319(f905(x98911,x98912)),f681(x98915,x98914,x98913,x98912,x98911)),f317(f162(f905(x98911,x98912)),f317(f317(f171(x98911,x98912),x98914),x98915))))
% 184.03/183.91 [9892]P33(x98921,x98922,x98923,x98924,x98925)+~E(f317(f179(f900(x98921)),x98924),f317(f179(f900(x98922)),x98925))+P1(f317(f317(f319(f905(x98921,x98922)),f682(x98923,x98925,x98924,x98922,x98921)),f317(f162(f905(x98921,x98922)),f317(f317(f171(x98921,x98922),x98924),x98925))))
% 184.03/183.91 [10018]E(x100181,x100182)+P1(f317(f317(f319(f905(x100183,x100183)),f317(f317(f242(x100183,x100183),x100181),f612(x100184,x100185,x100182,x100181,x100183))),x100184))+~P1(f317(f317(f319(f905(x100183,x100183)),f317(f317(f242(x100183,x100183),x100181),x100182)),f317(f317(f173(f905(x100183,x100183),a895),x100185),x100184)))
% 184.03/183.91 [10019]E(x100191,f2(a899))+P1(f317(f317(f319(f905(x100192,x100192)),f317(f317(f242(x100192,x100192),x100193),f612(x100194,x100191,x100195,x100193,x100192))),x100194))+~P1(f317(f317(f319(f905(x100192,x100192)),f317(f317(f242(x100192,x100192),x100193),x100195)),f317(f317(f173(f905(x100192,x100192),a895),x100191),x100194)))
% 184.03/183.91 [10058]~P5(x100581)+~P1(f317(f317(f224(x100581),f317(x100584,f477(x100585,x100584,x100583,x100582,x100581))),x100585))+P1(f317(f317(f224(x100581),f317(f317(f35(x100582,x100581),x100583),x100584)),x100585))
% 184.03/183.91 [10110]E(x101101,x101102)+P1(f317(f317(f319(f905(x101103,x101103)),f317(f317(f242(x101103,x101103),f611(x101104,x101105,x101101,x101102,x101103)),x101101)),x101104))+~P1(f317(f317(f319(f905(x101103,x101103)),f317(f317(f242(x101103,x101103),x101102),x101101)),f317(f317(f173(f905(x101103,x101103),a895),x101105),x101104)))
% 184.03/183.91 [10111]E(x101111,f2(a899))+P1(f317(f317(f319(f905(x101112,x101112)),f317(f317(f242(x101112,x101112),f611(x101113,x101111,x101114,x101115,x101112)),x101114)),x101113))+~P1(f317(f317(f319(f905(x101112,x101112)),f317(f317(f242(x101112,x101112),x101115),x101114)),f317(f317(f173(f905(x101112,x101112),a895),x101111),x101113)))
% 184.03/183.91 [10115]E(x101151,x101152)+P1(f317(f317(f319(f905(x101153,x101153)),f317(f317(f242(x101153,x101153),x101151),f611(x101154,x101155,x101152,x101151,x101153))),f317(f317(f173(f905(x101153,x101153),a895),f610(x101154,x101155,x101152,x101151,x101153)),x101154)))+~P1(f317(f317(f319(f905(x101153,x101153)),f317(f317(f242(x101153,x101153),x101151),x101152)),f317(f317(f173(f905(x101153,x101153),a895),x101155),x101154)))
% 184.03/183.91 [10116]E(x101161,f2(a899))+P1(f317(f317(f319(f905(x101162,x101162)),f317(f317(f242(x101162,x101162),x101163),f611(x101164,x101161,x101165,x101163,x101162))),f317(f317(f173(f905(x101162,x101162),a895),f610(x101164,x101161,x101165,x101163,x101162)),x101164)))+~P1(f317(f317(f319(f905(x101162,x101162)),f317(f317(f242(x101162,x101162),x101163),x101165)),f317(f317(f173(f905(x101162,x101162),a895),x101161),x101164)))
% 184.03/183.91 [10169]E(x101691,x101692)+P1(f317(f317(f319(f905(x101693,x101693)),f317(f317(f242(x101693,x101693),f612(x101694,x101695,x101691,x101692,x101693)),x101691)),f317(f317(f173(f905(x101693,x101693),a895),f614(x101694,x101695,x101691,x101692,x101693)),x101694)))+~P1(f317(f317(f319(f905(x101693,x101693)),f317(f317(f242(x101693,x101693),x101692),x101691)),f317(f317(f173(f905(x101693,x101693),a895),x101695),x101694)))
% 184.03/183.91 [10170]E(x101701,f2(a899))+P1(f317(f317(f319(f905(x101702,x101702)),f317(f317(f242(x101702,x101702),f612(x101703,x101701,x101704,x101705,x101702)),x101704)),f317(f317(f173(f905(x101702,x101702),a895),f614(x101703,x101701,x101704,x101705,x101702)),x101703)))+~P1(f317(f317(f319(f905(x101702,x101702)),f317(f317(f242(x101702,x101702),x101705),x101704)),f317(f317(f173(f905(x101702,x101702),a895),x101701),x101703)))
% 184.03/183.91 [10203]~P70(x102032)+~P1(f317(f28(x102031),x102035))+E(f317(f317(f8(x102031,x102032),f317(f317(f9(x102031,x102032,x102032),f317(f317(f20(x102031,x102032,f906(x102032,x102032)),f317(f317(f10(a895,f906(x102032,f906(x102032,x102032)),x102031),f86(x102032)),f317(f317(f9(x102031,f906(x102031,a895),a895),f319(x102031)),x102033))),x102034)),f2(x102032))),x102035),f317(f317(f8(x102031,x102032),x102034),f317(f317(f92(f906(x102031,a895)),x102035),x102033)))
% 184.03/183.91 [8754]~P70(x87541)+~P1(f317(f28(x87544),x87545))+E(f317(f317(f74(x87541),f317(x87542,x87543)),f317(f317(f8(x87544,x87541),x87542),f317(f317(f3(f906(x87544,a895)),x87545),f317(f317(f299(x87544),x87543),f178(f906(x87544,a895)))))),f317(f317(f8(x87544,x87541),x87542),f317(f317(f299(x87544),x87543),x87545)))
% 184.03/183.91 [8755]~P74(x87551)+~P1(f317(f28(x87554),x87555))+E(f317(f317(f75(x87551),f317(x87552,x87553)),f317(f317(f11(x87554,x87551),x87552),f317(f317(f3(f906(x87554,a895)),x87555),f317(f317(f299(x87554),x87553),f178(f906(x87554,a895)))))),f317(f317(f11(x87554,x87551),x87552),f317(f317(f299(x87554),x87553),x87555)))
% 184.03/183.91 [9087]~P107(x90872)+~P13(x90872,f317(f158(x90872),f317(f317(f144(x90871,x90872),x90874),x90875)))+E(f317(f126(x90871,f317(f317(f10(x90872,a895,x90871),f317(f225(x90872),x90873)),x90874)),x90875),f167(x90871,f317(f317(f10(x90872,a895,x90871),f317(f225(x90872),x90873)),x90874),x90875))
% 184.03/183.91 [9111]~P70(x91111)+E(f317(f317(f74(x91111),f317(f317(f8(a899,x91111),x91112),f293(a899,x91113,x91114))),f317(f317(f8(a899,x91111),x91112),f293(a899,f317(f317(f74(a899),x91114),f72(a899)),f317(f317(f74(a899),x91114),x91115)))),f317(f317(f8(a899,x91111),x91112),f293(a899,x91113,f317(f317(f74(a899),x91114),x91115))))+~P1(f317(f317(f224(a899),x91113),f317(f317(f74(a899),x91114),f72(a899))))
% 184.03/183.91 [9112]~P1(f317(f317(f319(x91121),x91124),x91125))+~P1(f317(f317(f224(f906(x91121,a895)),f317(f162(x91121),x91122)),x91125))+P1(f317(f317(f224(f906(x91121,a895)),f317(f162(x91121),f317(f317(f149(x91121,x91122),x91123),x91124))),x91125))
% 184.03/183.91 [9337]~P5(x93372)+~P1(f317(f28(x93371),x93375))+E(f317(f317(f58(x93371,x93372,f317(f317(f10(x93372,f906(x93372,x93372),x93371),f91(x93372)),x93373)),x93374),x93375),f317(f317(f91(x93372),x93374),f317(f317(f35(x93371,x93372),x93375),x93373)))
% 184.03/183.91 [9338]~P5(x93382)+~P1(f317(f28(x93381),x93385))+E(f317(f317(f58(x93381,x93382,f317(f317(f10(x93382,f906(x93382,x93382),x93381),f92(x93382)),x93383)),x93384),x93385),f317(f317(f92(x93382),x93384),f317(f317(f34(x93381,x93382),x93385),x93383)))
% 184.03/183.91 [9389]E(f317(x93891,x93892),f317(x93891,x93893))+P1(f317(f317(f225(a899),f317(x93891,x93892)),f317(x93891,x93893)))+~P1(f317(f317(f319(f905(x93894,x93894)),f317(f317(f242(x93894,x93894),x93892),x93893)),f143(x93894,f317(f317(f141(f906(x93894,a899)),x93891),x93895))))
% 184.03/183.91 [9423]~E(f317(x94234,x94232),f317(x94234,x94233))+~P1(f317(f317(f319(f905(x94231,x94231)),f317(f317(f242(x94231,x94231),x94232),x94233)),f143(x94231,x94235)))+P1(f317(f317(f319(f905(x94231,x94231)),f317(f317(f242(x94231,x94231),x94232),x94233)),f143(x94231,f317(f317(f141(f906(x94231,a899)),x94234),x94235))))
% 184.03/183.91 [9443]~P24(x94431,x94432,x94433,x94435)+P24(x94431,x94432,x94433,f317(f317(f299(x94431),x94434),x94435))+P1(f317(f317(f319(x94432),f317(x94433,x94434)),f317(f300(x94431,x94432,x94433),f317(f317(f3(f906(x94431,a895)),x94435),f317(f317(f299(x94431),x94434),f178(f906(x94431,a895)))))))
% 184.03/183.91 [9446]P1(f317(x94462,x94465))+~P1(f317(f317(f319(x94461),x94465),f317(f162(x94461),x94463)))+E(f317(f317(f128(x94461),f317(f179(f900(x94461)),f167(x94461,x94462,f317(f317(f124(x94461),x94463),x94464)))),f317(f317(f124(x94461),x94463),x94464)),f317(f317(f124(x94461),f317(f317(f128(x94461),f317(f179(f900(x94461)),f167(x94461,x94462,x94463))),x94463)),x94464))
% 184.03/183.91 [9451]~P1(f317(f317(f319(f905(x94511,x94511)),f317(f317(f242(x94511,x94511),x94512),x94513)),f143(x94511,x94515)))+~P1(f317(f317(f224(a899),f317(x94514,x94512)),f317(x94514,x94513)))+P1(f317(f317(f319(f905(x94511,x94511)),f317(f317(f242(x94511,x94511),x94512),x94513)),f143(x94511,f317(f317(f141(f906(x94511,a899)),x94514),x94515))))
% 184.03/183.91 [9518]P1(f317(f317(f319(f905(x95184,x95184)),f317(f317(f242(x95184,x95184),x95182),x95183)),f143(x95184,x95185)))+P1(f317(f317(f225(a899),f317(x95181,x95182)),f317(x95181,x95183)))+~P1(f317(f317(f319(f905(x95184,x95184)),f317(f317(f242(x95184,x95184),x95182),x95183)),f143(x95184,f317(f317(f141(f906(x95184,a899)),x95181),x95185))))
% 184.03/183.91 [9671]~P1(f317(f317(f319(f905(f900(x96711),f900(x96711))),f317(f317(f242(f900(x96711),f900(x96711)),x96712),x96714)),f148(x96711,x96715)))+~P1(f317(f317(f225(a899),x96713),f317(f179(f900(x96711)),x96712)))+P1(f317(f317(f319(f905(x96711,x96711)),f317(f317(f242(x96711,x96711),f317(f317(f154(x96711),x96712),x96713)),f317(f317(f154(x96711),x96714),x96713))),x96715))
% 184.03/183.91 [9914]E(x99141,f2(a1))+~P1(f317(f44(x99143,x99141),f317(f317(f242(a1,a1),x99144),x99145)))+P1(f317(f44(f317(f317(f75(a1),x99142),x99143),x99141),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x99142),x99144)),f317(f317(f30(a1),f317(f317(f75(a1),x99142),x99145)),x99141))),f40(a1,f317(f317(f75(a1),x99142),x99145),x99141))))
% 184.03/183.91 [9915]~P1(f317(f317(f225(a899),f2(a899)),x99153))+~P1(f317(f43(x99152,x99153),f317(f317(f242(a899,a899),x99154),x99155)))+P1(f317(f43(f317(f317(f75(a899),x99151),x99152),x99153),f317(f317(f242(a899,a899),f317(f317(f74(a899),f317(f317(f75(a899),x99151),x99154)),f317(f317(f30(a899),f317(f317(f75(a899),x99151),x99155)),x99153))),f40(a899,f317(f317(f75(a899),x99151),x99155),x99153))))
% 184.03/183.91 [10226]~P70(x102262)+~P1(f317(f28(x102261),x102264))+E(f317(f317(f8(x102261,x102262),x102263),f317(f252(x102261),f317(f317(f20(x102261,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102261),a315),f317(f317(f9(x102261,f906(x102261,a895),a895),f319(x102261)),x102264))),f317(f317(f9(x102261,f906(x102261,a895),a895),f319(x102261)),x102265)))),f317(f317(f8(x102261,x102262),f317(f317(f9(x102261,x102262,x102262),f317(f317(f20(x102261,x102262,f906(x102262,x102262)),f317(f317(f10(a895,f906(x102262,f906(x102262,x102262)),x102261),f86(x102262)),f317(f317(f9(x102261,f906(x102261,a895),a895),f319(x102261)),x102265))),x102263)),f2(x102262))),x102264))
% 184.03/183.91 [8383]~E(f317(f317(f124(x83831),x83832),x83835),f317(f317(f124(x83831),x83833),x83834))+E(f317(f317(f124(x83831),f317(f317(f128(x83831),f317(f179(f900(x83831)),x83832)),x83833)),x83834),x83835)+P1(f317(f317(f224(a899),f317(f179(f900(x83831)),x83833)),f317(f179(f900(x83831)),x83832)))
% 184.03/183.91 [8581]~E(f317(f317(f124(x85812),x85813),x85811),f317(f317(f124(x85812),x85814),x85815))+E(x85811,f317(f317(f124(x85812),f317(f317(f128(x85812),f317(f179(f900(x85812)),x85813)),x85814)),x85815))+~P1(f317(f317(f224(a899),f317(f179(f900(x85812)),x85813)),f317(f179(f900(x85812)),x85814)))
% 184.03/183.91 [8669]~E(f317(f317(f74(a899),f317(f317(f75(a899),x86693),x86694)),x86691),f317(f317(f74(a899),f317(f317(f75(a899),x86692),x86694)),x86695))+~P1(f317(f317(f224(a899),x86693),x86692))+E(x86691,f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x86692),x86693)),x86694)),x86695))
% 184.03/183.91 [8670]~E(f317(f317(f74(a899),f317(f317(f75(a899),x86701),x86703)),x86704),f317(f317(f74(a899),f317(f317(f75(a899),x86702),x86703)),x86705))+~P1(f317(f317(f224(a899),x86702),x86701))+E(f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x86701),x86702)),x86703)),x86704),x86705)
% 184.03/183.91 [8838]E(f317(f317(f74(a899),f317(f317(f75(a899),x88381),x88382)),x88383),f317(f317(f74(a899),f317(f317(f75(a899),x88384),x88382)),x88385))+~P1(f317(f317(f224(a899),x88384),x88381))+~E(x88385,f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x88381),x88384)),x88382)),x88383))
% 184.03/183.91 [8839]E(f317(f317(f74(a899),f317(f317(f75(a899),x88391),x88392)),x88393),f317(f317(f74(a899),f317(f317(f75(a899),x88394),x88392)),x88395))+~P1(f317(f317(f224(a899),x88394),x88391))+~E(f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x88391),x88394)),x88392)),x88393),x88395)
% 184.03/183.91 [9725]~P61(x97252)+~P1(f317(f28(x97251),x97255))+E(f317(f317(f11(x97251,x97252),f317(f317(f20(x97251,x97252,x97252),f317(f317(f10(x97252,f906(x97252,x97252),x97251),f281(x97252)),x97253)),x97254)),x97255),f317(f317(f281(x97252),f317(f317(f11(x97251,x97252),x97253),x97255)),f317(f317(f11(x97251,x97252),x97254),x97255)))
% 184.03/183.91 [9854]~E(f616(x98545,x98544,x98543,x98542,x98541),f617(x98545,x98544,x98543,x98542,x98541))+P1(f317(f317(f319(f905(x98541,x98541)),f317(f317(f242(x98541,x98541),x98542),x98543)),f297(x98541,x98544)))+~P1(f317(f317(f319(f905(x98541,x98541)),f317(f317(f242(x98541,x98541),x98542),x98543)),f297(x98541,f317(f317(f91(f906(f905(x98541,x98541),a895)),x98544),x98545))))
% 184.03/183.91 [9855]~E(f618(x98555,x98554,x98553,x98552,x98551),f619(x98555,x98554,x98553,x98552,x98551))+P1(f317(f317(f319(f905(x98551,x98551)),f317(f317(f242(x98551,x98551),x98552),x98553)),f297(x98551,x98554)))+~P1(f317(f317(f319(f905(x98551,x98551)),f317(f317(f242(x98551,x98551),x98552),x98553)),f297(x98551,f317(f317(f91(f906(f905(x98551,x98551),a895)),x98554),x98555))))
% 184.03/183.91 [10048]P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),f619(x100485,x100484,x100483,x100482,x100481))),f297(x100481,x100484)))+P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),x100483)),f297(x100481,x100484)))+~P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),x100483)),f297(x100481,f317(f317(f91(f906(f905(x100481,x100481),a895)),x100484),x100485))))
% 184.03/183.91 [10137]P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),f617(x101375,x101374,x101373,x101372,x101371)),x101373)),f297(x101371,x101374)))+P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,x101374)))+~P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,f317(f317(f91(f906(f905(x101371,x101371),a895)),x101374),x101375))))
% 184.03/183.91 [10176]P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),x101762),x101763)),f297(x101761,x101764)))+P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),f616(x101765,x101764,x101763,x101762,x101761)),f617(x101765,x101764,x101763,x101762,x101761))),x101765))+~P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),x101762),x101763)),f297(x101761,f317(f317(f91(f906(f905(x101761,x101761),a895)),x101764),x101765))))
% 184.03/183.91 [10177]P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),x101772),x101773)),f297(x101771,x101774)))+P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),f619(x101775,x101774,x101773,x101772,x101771)),f618(x101775,x101774,x101773,x101772,x101771))),x101775))+~P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),x101772),x101773)),f297(x101771,f317(f317(f91(f906(f905(x101771,x101771),a895)),x101774),x101775))))
% 184.03/183.91 [10324]~P1(f317(f317(f319(f905(f900(x103241),f900(x103241))),f317(f317(f242(f900(x103241),f900(x103241)),x103244),x103245)),f148(x103241,x103242)))+~P1(f317(f317(f319(f905(x103241,x103241)),x103243),f317(f162(f905(x103241,x103241)),f317(f317(f171(x103241,x103241),x103244),x103245))))+P1(f317(f317(f247(x103241,x103241,a895),f317(f317(f9(x103241,f906(f905(x103241,x103241),a895),f906(x103241,a895)),f317(f317(f10(f906(x103241,f906(f906(f905(x103241,x103241),a895),a895)),f906(f906(f905(x103241,x103241),a895),f906(x103241,a895)),x103241),f9(x103241,f906(f905(x103241,x103241),a895),a895)),f317(f317(f10(f906(x103241,f905(x103241,x103241)),f906(x103241,f906(f906(f905(x103241,x103241),a895),a895)),x103241),f317(f10(f905(x103241,x103241),f906(f906(f905(x103241,x103241),a895),a895),x103241),f319(f905(x103241,x103241)))),f242(x103241,x103241)))),x103242)),x103243))
% 184.03/183.91 [9754]~P1(f317(f317(f224(a899),x97543),x97542))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),x97543),x97544)),x97541)),f317(f317(f74(a899),f317(f317(f75(a899),x97542),x97544)),x97545)))+P1(f317(f317(f224(a899),x97541),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x97542),x97543)),x97544)),x97545)))
% 184.03/183.91 [9755]~P1(f317(f317(f224(a899),x97553),x97552))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),x97553),x97554)),x97551)),f317(f317(f74(a899),f317(f317(f75(a899),x97552),x97554)),x97555)))+P1(f317(f317(f225(a899),x97551),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x97552),x97553)),x97554)),x97555)))
% 184.03/183.91 [9772]~P1(f317(f317(f224(a899),x97721),x97724))+P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),x97721),x97722)),x97723)),f317(f317(f74(a899),f317(f317(f75(a899),x97724),x97722)),x97725)))+~P1(f317(f317(f224(a899),x97723),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x97724),x97721)),x97722)),x97725)))
% 184.03/183.91 [9773]~P1(f317(f317(f224(a899),x97731),x97734))+P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),x97731),x97732)),x97733)),f317(f317(f74(a899),f317(f317(f75(a899),x97734),x97732)),x97735)))+~P1(f317(f317(f225(a899),x97733),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x97734),x97731)),x97732)),x97735)))
% 184.03/183.91 [9889]~P1(f317(f317(f224(a899),x98892),x98891))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),x98891),x98893)),x98894)),f317(f317(f74(a899),f317(f317(f75(a899),x98892),x98893)),x98895)))+P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x98891),x98892)),x98893)),x98894)),x98895))
% 184.03/183.91 [9890]~P1(f317(f317(f224(a899),x98902),x98901))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),x98901),x98903)),x98904)),f317(f317(f74(a899),f317(f317(f75(a899),x98902),x98903)),x98905)))+P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x98901),x98902)),x98903)),x98904)),x98905))
% 184.03/183.91 [9933]~P1(f317(f317(f224(a899),x99334),x99331))+P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),x99331),x99332)),x99333)),f317(f317(f74(a899),f317(f317(f75(a899),x99334),x99332)),x99335)))+~P1(f317(f317(f224(a899),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x99331),x99334)),x99332)),x99333)),x99335))
% 184.03/183.91 [9934]~P1(f317(f317(f224(a899),x99344),x99341))+P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),x99341),x99342)),x99343)),f317(f317(f74(a899),f317(f317(f75(a899),x99344),x99342)),x99345)))+~P1(f317(f317(f225(a899),f317(f317(f74(a899),f317(f317(f75(a899),f317(f317(f3(a899),x99341),x99344)),x99342)),x99343)),x99345))
% 184.03/183.91 [10164]~P11(x101641,x101642,x101645,x101643)+~P1(f317(f317(f319(f905(x101641,x101641)),x101644),x101645))+P1(f317(f317(f247(x101641,x101641,a895),f317(f317(f9(x101641,f906(x101641,x101642),f906(x101641,a895)),f317(f317(f10(f906(x101642,a895),f906(f906(x101641,x101642),f906(x101641,a895)),x101641),f10(x101642,a895,x101641)),f317(f317(f10(x101642,f906(x101642,a895),x101641),a314),x101643))),x101643)),x101644))
% 184.03/183.91 [8545]~P19(x85456,x85451,x85452,x85454)+E(f317(f67(x85451,x85451,x85451,f317(x85452,x85453)),f317(x85454,x85455)),f317(f67(x85451,x85451,x85451,f317(x85454,x85455)),f317(x85452,x85453)))+~P1(f317(f28(x85456),x85455))
% 184.03/183.91 [8982]~P24(x89821,x89823,x89825,x89826)+~P24(x89823,x89822,x89824,f317(f300(x89821,x89823,x89825),x89826))+P24(x89821,x89822,f317(f67(x89823,x89822,x89821,x89824),x89825),x89826)
% 184.03/183.91 [9550]~P1(f317(f317(x95503,x95502),x95506))+~P1(f317(f317(x95504,x95505),x95502))+P1(f317(f317(f319(x95501),x95502),f290(x95501,x95503,x95504,x95505,x95506)))
% 184.03/183.91 [9551]~P1(f317(f317(x95514,x95512),x95516))+~P1(f317(f317(x95513,x95515),x95512))+P1(f317(f317(f319(x95511),x95512),f287(x95511,x95513,x95514,x95515,x95516)))
% 184.03/183.91 [9672]E(x96721,x96722)+E(x96723,x96724)+~P1(f317(f317(f319(f905(f900(x96725),f900(x96725))),f317(f317(f242(f900(x96725),f900(x96725)),f317(f317(f141(x96725),x96723),x96721)),f317(f317(f141(x96725),x96724),x96722))),f147(x96725,x96726)))
% 184.03/183.91 [9681]~E(x96812,x96814)+P1(f317(f317(f319(f905(f900(x96811),f900(x96811))),f317(f317(f242(f900(x96811),f900(x96811)),f317(f317(f141(x96811),x96812),x96813)),f317(f317(f141(x96811),x96814),x96815))),f135(x96811,x96816)))+~P1(f317(f317(f319(f905(f900(x96811),f900(x96811))),f317(f317(f242(f900(x96811),f900(x96811)),x96813),x96815)),f135(x96811,x96816)))
% 184.03/183.91 [9682]~E(x96822,x96824)+P1(f317(f317(f319(f905(f900(x96821),f900(x96821))),f317(f317(f242(f900(x96821),f900(x96821)),f317(f317(f141(x96821),x96822),x96823)),f317(f317(f141(x96821),x96824),x96825))),f137(x96821,x96826)))+~P1(f317(f317(f319(f905(f900(x96821),f900(x96821))),f317(f317(f242(f900(x96821),f900(x96821)),x96823),x96825)),f137(x96821,x96826)))
% 184.03/183.91 [9683]~E(x96832,x96834)+P1(f317(f317(f319(f905(f900(x96831),f900(x96831))),f317(f317(f242(f900(x96831),f900(x96831)),f317(f317(f141(x96831),x96832),x96833)),f317(f317(f141(x96831),x96834),x96835))),f147(x96831,x96836)))+~P1(f317(f317(f319(f905(f900(x96831),f900(x96831))),f317(f317(f242(f900(x96831),f900(x96831)),x96833),x96835)),f147(x96831,x96836)))
% 184.03/183.91 [9684]~E(x96842,x96844)+P1(f317(f317(f319(f905(f900(x96841),f900(x96841))),f317(f317(f242(f900(x96841),f900(x96841)),f317(f317(f124(x96841),x96842),x96843)),f317(f317(f124(x96841),x96844),x96845))),f147(x96841,x96846)))+~P1(f317(f317(f319(f905(f900(x96841),f900(x96841))),f317(f317(f242(f900(x96841),f900(x96841)),x96843),x96845)),f147(x96841,x96846)))
% 184.03/183.91 [9685]~E(x96853,x96855)+P1(f317(f317(f319(f905(f900(x96851),f900(x96851))),f317(f317(f242(f900(x96851),f900(x96851)),f317(f317(f124(x96851),x96852),x96853)),f317(f317(f124(x96851),x96854),x96855))),f147(x96851,x96856)))+~P1(f317(f317(f319(f905(f900(x96851),f900(x96851))),f317(f317(f242(f900(x96851),f900(x96851)),x96852),x96854)),f147(x96851,x96856)))
% 184.03/183.91 [9742]E(x97421,x97422)+P1(f317(f317(f319(f905(f900(x97423),f900(x97423))),f317(f317(f242(f900(x97423),f900(x97423)),x97421),x97422)),f147(x97423,x97424)))+~P1(f317(f317(f319(f905(f900(x97423),f900(x97423))),f317(f317(f242(f900(x97423),f900(x97423)),f317(f317(f141(x97423),x97425),x97421)),f317(f317(f141(x97423),x97426),x97422))),f147(x97423,x97424)))
% 184.03/183.91 [9893]~E(x98933,x98935)+P1(f317(f317(f319(f905(f900(x98931),f900(x98931))),f317(f317(f242(f900(x98931),f900(x98931)),f317(f317(f124(x98931),x98932),f317(f317(f141(x98931),x98933),f103(x98931)))),f317(f317(f124(x98931),x98934),f317(f317(f141(x98931),x98935),f103(x98931))))),f147(x98931,x98936)))+~P1(f317(f317(f319(f905(f900(x98931),f900(x98931))),f317(f317(f242(f900(x98931),f900(x98931)),x98932),x98934)),f147(x98931,x98936)))
% 184.03/183.91 [9937]E(x99371,x99372)+E(x99373,x99374)+~P1(f317(f317(f319(f905(f900(x99375),f900(x99375))),f317(f317(f242(f900(x99375),f900(x99375)),f317(f317(f124(x99375),x99373),f317(f317(f141(x99375),x99371),f103(x99375)))),f317(f317(f124(x99375),x99374),f317(f317(f141(x99375),x99372),f103(x99375))))),f147(x99375,x99376)))
% 184.03/183.91 [9963]E(x99631,x99632)+~P1(f317(f317(f319(f905(f900(x99633),f900(x99633))),f317(f317(f242(f900(x99633),f900(x99633)),f317(f317(f124(x99633),x99631),f317(f317(f141(x99633),x99635),f103(x99633)))),f317(f317(f124(x99633),x99632),f317(f317(f141(x99633),x99636),f103(x99633))))),f147(x99633,x99634)))+P1(f317(f317(f319(f905(f900(x99633),f900(x99633))),f317(f317(f242(f900(x99633),f900(x99633)),x99631),x99632)),f147(x99633,x99634)))
% 184.03/183.91 [10001]~P1(f317(f317(f319(f905(f906(x100011,a895),f906(x100011,a895))),f317(f317(f242(f906(x100011,a895),f906(x100011,a895)),x100012),x100014)),f308(x100011,x100016)))+~P1(f317(f317(f319(f905(f906(x100011,a895),f906(x100011,a895))),f317(f317(f242(f906(x100011,a895),f906(x100011,a895)),x100013),x100015)),f308(x100011,x100016)))+P1(f317(f317(f319(f905(f906(x100011,a895),f906(x100011,a895))),f317(f317(f242(f906(x100011,a895),f906(x100011,a895)),f317(f317(f91(f906(x100011,a895)),x100012),x100013)),f317(f317(f91(f906(x100011,a895)),x100014),x100015))),f308(x100011,x100016)))
% 184.03/183.91 [5737]~E(f317(f317(f124(x57371),x57376),x57373),x57375)+E(f317(f317(f124(x57371),x57372),x57373),f317(f317(f141(x57371),x57374),x57375))+~E(x57372,f317(f317(f141(x57371),x57374),x57376))
% 184.03/183.91 [5738]~E(f317(f317(f124(x57381),x57386),x57383),x57385)+E(f317(f317(f124(x57381),x57382),x57383),f317(f317(f124(x57381),x57384),x57385))+~E(x57382,f317(f317(f124(x57381),x57384),x57386))
% 184.03/183.91 [5740]E(f317(f317(f124(x57401),x57402),x57403),f317(f317(f141(x57401),x57404),x57405))+~E(f317(f317(f141(x57401),x57404),x57406),x57402)+~E(x57405,f317(f317(f124(x57401),x57406),x57403))
% 184.03/183.91 [5742]~E(f317(f317(f124(x57421),x57422),x57426),x57424)+E(f317(f317(f124(x57421),x57422),x57423),f317(f317(f124(x57421),x57424),x57425))+~E(x57423,f317(f317(f124(x57421),x57426),x57425))
% 184.03/183.91 [6920]E(f317(x69201,x69202),f317(x69203,x69202))+~E(f317(f317(f144(x69204,x69205),x69201),x69206),f317(f317(f144(x69204,x69205),x69203),x69206))+~P1(f317(f317(f319(x69204),x69202),f317(f162(x69204),x69206)))
% 184.03/183.91 [7309]~P19(x73094,x73095,x73096,x73091)+E(f317(f317(x73091,x73092),x73093),f317(f317(f58(x73094,x73095,x73096),x73093),x73092))+~P1(f317(f28(x73094),x73092))
% 184.03/183.91 [7380]~E(x73802,f317(x73804,x73806))+~P1(f317(f317(f319(x73803),x73806),x73805))+P1(f317(f317(f319(x73801),x73802),f317(f300(x73803,x73801,x73804),x73805)))
% 184.03/183.91 [7381]~E(f317(x73814,x73812),x73816)+~P1(f317(f317(f319(x73813),x73816),x73815))+P1(f317(f317(f319(x73811),x73812),f317(f301(x73811,x73813,x73814),x73815)))
% 184.03/183.91 [7833]~P31(x78331,x78332,x78334,x78336)+P31(x78331,x78332,f317(f317(f141(x78331),x78333),x78334),f317(f317(f141(x78331),x78335),x78336))+~P1(f317(f317(x78332,x78333),x78335))
% 184.03/183.91 [8848]~P56(x88484,x88485,x88481,x88482,x88486)+E(f317(x88481,f317(x88482,x88483)),x88483)+~P1(f317(f317(f319(x88485),x88483),x88486))
% 184.03/183.91 [9347]~P25(x93472,x93471,x93475,x93474,x93473)+E(f317(f85(x93471,x93472,x93473,f85(x93472,x93471,x93474,x93475)),x93476),f317(x93475,x93476))+~P1(f317(f317(f319(x93472),x93476),x93474))
% 184.03/183.91 [9358]~P24(x93581,x93582,x93583,x93586)+P24(x93581,x93582,f69(x93581,x93582,x93583,x93584,x93585),x93586)+P1(f317(f317(f319(x93582),x93585),f317(f300(x93581,x93582,x93583),x93586)))
% 184.03/183.91 [9674]E(x96741,x96742)+E(f317(f179(f900(x96743)),x96744),f317(f179(f900(x96743)),x96745))+~P1(f317(f317(f319(f905(f900(x96743),f900(x96743))),f317(f317(f242(f900(x96743),f900(x96743)),f317(f317(f141(x96743),x96741),x96744)),f317(f317(f141(x96743),x96742),x96745))),f135(x96743,x96746)))
% 184.03/183.91 [9737]~P16(x97371,x97372,x97373)+E(f317(f317(f58(x97371,x97372,x97373),x97374),x97375),x97376)+~P1(f317(f60(x97371,x97372,x97373,x97374,x97375),x97376))
% 184.03/183.91 [9745]E(f317(f179(f900(x97451)),x97452),f317(f179(f900(x97451)),x97453))+P1(f317(f317(f319(f905(f900(x97451),f900(x97451))),f317(f317(f242(f900(x97451),f900(x97451)),x97452),x97453)),f135(x97451,x97454)))+~P1(f317(f317(f319(f905(f900(x97451),f900(x97451))),f317(f317(f242(f900(x97451),f900(x97451)),f317(f317(f141(x97451),x97455),x97452)),f317(f317(f141(x97451),x97456),x97453))),f135(x97451,x97454)))
% 184.03/183.91 [9766]~P1(f317(f317(f319(f905(x97661,x97661)),f317(f317(f242(x97661,x97661),x97662),x97664)),f297(x97661,x97666)))+P1(f317(f317(f319(f905(f900(x97661),f900(x97661))),f317(f317(f242(f900(x97661),f900(x97661)),f317(f317(f141(x97661),x97662),x97663)),f317(f317(f141(x97661),x97664),x97665))),f297(f900(x97661),f147(x97661,x97666))))+~P1(f317(f317(f319(f905(f900(x97661),f900(x97661))),f317(f317(f242(f900(x97661),f900(x97661)),x97663),x97665)),f297(f900(x97661),f147(x97661,x97666))))
% 184.03/183.91 [9943]~P1(f317(x99432,x99436))+~E(f317(f126(x99431,x99432),x99433),f317(f317(f141(x99431),x99434),x99435))+~P1(f317(f317(f319(x99431),x99436),f317(f162(x99431),f726(x99435,x99434,x99433,x99432,x99431))))
% 184.03/183.91 [9944]~P1(f317(x99444,x99446))+~E(f317(f317(f141(x99441),x99442),x99443),f317(f126(x99441,x99444),x99445))+~P1(f317(f317(f319(x99441),x99446),f317(f162(x99441),f728(x99445,x99444,x99443,x99442,x99441))))
% 184.03/183.91 [10261]~P70(x102612)+E(f317(f317(f8(x102611,x102612),f317(f317(f10(f906(x102613,a895),x102612,x102611),f317(f8(x102613,x102612),x102614)),f317(f317(f10(f906(x102613,a895),f906(x102613,a895),x102611),f252(x102613)),f317(f317(f10(f906(x102613,a895),f906(x102613,a895),x102611),f317(f20(x102613,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102613),a315),f317(f317(f9(x102613,f906(x102613,a895),a895),f319(x102613)),x102615)))),f317(f9(x102613,x102611,a895),f317(f317(f10(x102611,f906(x102611,a895),x102613),a314),x102616)))))),f317(f300(x102613,x102611,x102616),x102615)),f317(f317(f8(x102613,x102612),x102614),x102615))+~P1(f317(f28(x102613),x102615))
% 184.03/183.91 [6978]~P107(x69783)+P1(f317(x69782,x69785))+E(f317(f126(x69781,x69782),f317(f317(f138(x69781,x69783,x69784),x69785),x69786)),f317(f126(x69781,x69782),x69786))
% 184.03/183.91 [6980]P1(f317(x69801,x69802))+~E(f156(x69803,x69801,x69804),f317(f317(f242(f900(x69803),f900(x69803)),x69805),x69806))+~P1(f317(f317(f319(x69803),x69802),f317(f162(x69803),x69805)))
% 184.03/183.91 [7027]~P1(f317(x70272,x70276))+~E(f156(x70271,x70272,x70273),f317(f317(f242(f900(x70271),f900(x70271)),x70274),x70275))+~P1(f317(f317(f319(x70271),x70276),f317(f162(x70271),x70275)))
% 184.03/183.91 [7695]~P14(x76951,x76952,x76953)+~P1(f317(f28(x76951),x76956))+E(f317(f317(f58(x76951,x76952,x76953),x76954),f317(f317(f299(x76951),x76955),x76956)),f317(f317(f58(x76951,x76952,x76953),f317(f317(x76953,x76955),x76954)),x76956))
% 184.03/183.91 [7748]~P107(x77482)+~P1(f317(f317(f224(x77482),f317(x77483,x77484)),f317(x77483,x77485)))+E(f317(f317(f138(x77481,x77482,x77483),x77484),f317(f317(f141(x77481),x77485),x77486)),f317(f317(f141(x77481),x77484),f317(f317(f141(x77481),x77485),x77486)))
% 184.03/183.91 [7861]E(x78611,x78612)+~E(f317(f317(f244(x78613,x78614),x78611),f317(f18(f906(x78614,a895),x78613),x78615)),f317(f317(f244(x78613,x78614),x78612),f317(f18(f906(x78614,a895),x78613),x78615)))+~P1(f317(f317(f319(x78614),x78616),x78615))
% 184.03/183.91 [7928]~P14(x79281,x79282,x79283)+~P1(f317(f28(x79281),x79286))+E(f317(f317(f58(x79281,x79282,x79283),x79284),f317(f317(f299(x79281),x79285),x79286)),f317(f317(x79283,x79285),f317(f317(f58(x79281,x79282,x79283),x79284),x79286)))
% 184.03/183.91 [8046]~P16(x80461,x80462,x80463)+~P1(f317(f28(x80461),x80466))+E(f317(f317(f58(x80461,x80462,x80463),f317(f317(x80463,x80464),x80465)),x80466),f317(f317(x80463,x80464),f317(f317(f58(x80461,x80462,x80463),x80465),x80466)))
% 184.03/183.91 [8114]~P20(x81142,x81145,x81146,x81141)+~P1(f317(f28(x81142),x81144))+E(f317(x81141,f317(f317(f299(x81142),x81143),x81144)),f317(f67(x81145,x81145,x81145,f317(x81141,x81144)),f317(x81146,x81143)))
% 184.03/183.91 [8146]~P107(x81462)+P1(f317(f317(f224(x81462),f317(x81463,x81464)),f317(x81463,x81465)))+E(f317(f317(f138(x81461,x81462,x81463),x81464),f317(f317(f141(x81461),x81465),x81466)),f317(f317(f141(x81461),x81465),f317(f317(f138(x81461,x81462,x81463),x81464),x81466)))
% 184.03/183.91 [8289]~E(f317(f179(f900(x82891)),x82895),f317(f179(f900(x82892)),x82896))+~E(f317(f179(f900(x82891)),x82893),f317(f179(f900(x82892)),x82894))+E(f317(f317(f124(f905(x82891,x82892)),f317(f317(f171(x82891,x82892),x82893),x82894)),f317(f317(f171(x82891,x82892),x82895),x82896)),f317(f317(f171(x82891,x82892),f317(f317(f124(x82891),x82893),x82895)),f317(f317(f124(x82892),x82894),x82896)))
% 184.03/183.91 [8401]~E(x84012,f317(f300(x84013,x84011,x84014),x84016))+P1(f317(f317(f224(f906(x84011,a895)),x84012),f317(f300(x84013,x84011,x84014),x84015)))+~P1(f317(f317(f224(f906(x84013,a895)),x84016),x84015))
% 184.03/183.91 [8503]~P107(x85035)+E(f317(x85031,x85032),f317(x85031,x85033))+E(f317(f317(f138(x85034,x85035,x85031),x85032),f317(f317(f138(x85034,x85035,x85031),x85033),x85036)),f317(f317(f138(x85034,x85035,x85031),x85033),f317(f317(f138(x85034,x85035,x85031),x85032),x85036)))
% 184.03/183.91 [8678]~P1(f317(f317(f319(x86782),x86784),f317(x86786,x86783)))+~P1(f317(f317(f319(x86781),x86783),x86785))+P1(f317(f317(f319(f905(x86781,x86782)),f317(f317(f242(x86781,x86782),x86783),x86784)),f317(f317(f244(x86781,x86782),x86785),x86786)))
% 184.03/183.91 [9152]~P70(x91522)+~P24(x91524,x91521,x91525,x91526)+E(f317(f317(f8(x91521,x91522),x91523),f317(f300(x91524,x91521,x91525),x91526)),f317(f317(f8(x91524,x91522),f317(f67(x91521,x91522,x91524,x91523),x91525)),x91526))
% 184.03/183.91 [9153]~P74(x91532)+~P24(x91534,x91531,x91535,x91536)+E(f317(f317(f11(x91531,x91532),x91533),f317(f300(x91534,x91531,x91535),x91536)),f317(f317(f11(x91534,x91532),f317(f67(x91531,x91532,x91534,x91533),x91535)),x91536))
% 184.03/183.91 [9200]~P33(x92002,x92005,x92001,x92003,x92006)+P1(f317(f317(x92001,f317(f317(f154(x92002),x92003),x92004)),f317(f317(f154(x92005),x92006),x92004)))+~P1(f317(f317(f225(a899),x92004),f317(f179(f900(x92005)),x92006)))
% 184.03/183.91 [9201]~P33(x92012,x92015,x92011,x92013,x92016)+P1(f317(f317(x92011,f317(f317(f154(x92012),x92013),x92014)),f317(f317(f154(x92015),x92016),x92014)))+~P1(f317(f317(f225(a899),x92014),f317(f179(f900(x92012)),x92013)))
% 184.03/183.91 [9212]~E(f317(f300(x92121,x92122,x92123),x92124),x92126)+E(f317(f300(x92121,x92122,x92123),f317(f300(x92122,x92121,f85(x92121,x92122,x92124,x92123)),x92125)),x92125)+~P1(f317(f317(f224(f906(x92122,a895)),x92125),x92126))
% 184.03/183.91 [9418]~P19(x94183,x94181,x94186,x94182)+~P1(f317(f28(x94183),x94184))+E(f317(f67(x94181,x94181,x94181,f317(x94182,f317(f317(f3(f906(x94183,a895)),x94184),f317(f317(f299(x94183),x94185),f178(f906(x94183,a895)))))),f317(x94186,x94185)),f317(x94182,f317(f317(f299(x94183),x94185),x94184)))
% 184.03/183.91 [10030]~E(f317(f300(x100302,x100304,x100306),f232(f906(x100302,a895))),f232(f906(x100304,a895)))+~E(f317(f300(x100301,x100303,x100305),f232(f906(x100301,a895))),f232(f906(x100303,a895)))+E(f317(f300(f905(x100301,x100302),f905(x100303,x100304),f248(x100301,x100303,x100302,x100304,x100305,x100306)),f232(f906(f905(x100301,x100302),a895))),f232(f906(f905(x100303,x100304),a895)))
% 184.03/183.91 [10087]~P24(x100873,x100874,x100875,f317(x100876,f524(x100876,x100875,x100874,x100873,x100872,x100871)))+P24(x100873,x100874,x100875,f317(f317(f34(x100872,f906(x100873,a895)),x100871),x100876))+E(x100871,f178(f906(x100872,a895)))
% 184.03/183.91 [10144]P24(x101446,x101445,x101444,f317(f317(f34(x101442,f906(x101446,a895)),x101441),x101443))+E(x101441,f178(f906(x101442,a895)))+P1(f317(f317(f319(x101442),f524(x101443,x101444,x101445,x101446,x101442,x101441)),x101441))
% 184.03/183.91 [10149]P1(f317(f317(f319(x101491),f589(x101492,x101493,x101494,x101495,x101496,x101491)),x101496))+P1(f317(f317(f224(f906(f905(x101491,x101494),a895)),f317(f317(f244(x101491,x101494),x101496),x101493)),f317(f317(f244(x101491,x101494),x101495),x101492)))+~P1(f317(f317(f224(f906(x101491,a895)),x101496),x101495))
% 184.03/183.91 [10279]~P1(f317(f317(f224(f906(x102792,a895)),f317(x102794,f589(x102796,x102794,x102792,x102795,x102793,x102791))),f317(x102796,f589(x102796,x102794,x102792,x102795,x102793,x102791))))+~P1(f317(f317(f224(f906(x102791,a895)),x102793),x102795))+P1(f317(f317(f224(f906(f905(x102791,x102792),a895)),f317(f317(f244(x102791,x102792),x102793),x102794)),f317(f317(f244(x102791,x102792),x102795),x102796)))
% 184.03/183.91 [7884]~P1(f317(x78841,x78845))+~P1(f317(x78846,x78844))+P1(f317(x78841,f317(f246(x78842,x78843),f317(f317(f242(x78842,x78843),x78844),x78845))))
% 184.03/183.91 [7885]~P1(f317(x78851,x78854))+~P1(f317(x78856,x78855))+P1(f317(x78851,f317(f241(x78852,x78853),f317(f317(f242(x78852,x78853),x78854),x78855))))
% 184.03/183.91 [7933]~P1(f317(f317(x79334,x79336),x79335))+~P1(f317(f317(f319(x79331),x79336),x79333))+P1(f317(f317(f317(f35(x79331,f906(x79332,a895)),x79333),x79334),x79335))
% 184.03/183.91 [8239]~P1(f317(f317(f319(x82391),x82392),f317(x82395,x82396)))+~P1(f317(f317(f319(x82393),x82396),x82394))+P1(f317(f317(f319(x82391),x82392),f317(f317(f35(x82393,f906(x82391,a895)),x82394),x82395)))
% 184.03/183.91 [8283]P1(f317(f317(x82831,x82832),x82833))+~P1(f317(f317(x82834,x82832),x82833))+~P1(f317(f317(f224(f906(x82835,f906(x82836,a895))),x82834),x82831))
% 184.03/183.91 [8424]P1(f317(f317(x84241,x84242),x84243))+~P1(f317(f317(f319(x84244),x84242),x84245))+~P1(f317(f317(f317(f34(x84244,f906(x84246,a895)),x84245),x84241),x84243))
% 184.03/183.91 [8560]P1(f317(f317(f319(x85601),x85602),f317(x85603,x85604)))+~P1(f317(f317(f319(x85605),x85604),x85606))+~P1(f317(f317(f319(x85601),x85602),f317(f317(f34(x85605,f906(x85601,a895)),x85606),x85603)))
% 184.03/183.91 [8827]~P11(x88274,x88275,x88276,x88271)+E(f317(x88271,x88272),f317(x88271,x88273))+~P1(f317(f317(f319(f905(x88274,x88274)),f317(f317(f242(x88274,x88274),x88272),x88273)),x88276))
% 184.03/183.91 [8862]P1(f317(f317(f224(f906(x88621,a895)),x88622),f317(x88623,x88624)))+~P1(f317(f317(f319(x88625),x88624),x88626))+~P1(f317(f317(f224(f906(x88621,a895)),x88622),f317(f317(f34(x88625,f906(x88621,a895)),x88626),x88623)))
% 184.03/183.91 [8895]~P54(x88953,x88954,f317(f276(x88954,x88953),x88955))+E(x88951,f178(f906(x88952,a895)))+E(f317(f317(f34(x88952,f906(x88953,a895)),x88951),f317(f317(f10(f906(x88954,a895),f906(x88953,a895),x88952),f275(x88954,x88953,x88955)),x88956)),f317(f275(x88954,x88953,x88955),f317(f317(f34(x88952,f906(x88954,a895)),x88951),x88956)))
% 184.03/183.91 [8973]P1(f317(f317(f319(x89731),x89732),f317(f275(x89733,x89731,x89734),x89735)))+~P1(f317(f317(f319(x89733),x89736),x89735))+~P1(f317(f317(f319(f905(x89733,x89731)),f317(f317(f242(x89733,x89731),x89736),x89732)),x89734))
% 184.03/183.91 [9277]P1(f317(f317(f224(f906(x92771,a895)),f317(f275(x92772,x92771,x92773),x92774)),f317(f275(x92772,x92771,x92775),x92776)))+~P1(f317(f317(f224(f906(x92772,a895)),x92774),x92776))+~P1(f317(f317(f224(f906(f905(x92772,x92771),a895)),x92773),x92775))
% 184.03/183.91 [9467]~P1(f317(f317(f319(x94672),x94676),x94674))+~P1(f317(f317(f224(f906(x94671,a895)),x94673),x94675))+P1(f317(f317(f224(f906(f905(x94671,x94672),a895)),f317(f317(f244(x94671,x94672),x94673),f317(f18(f906(x94672,a895),x94671),x94674))),f317(f317(f244(x94671,x94672),x94675),f317(f18(f906(x94672,a895),x94671),x94674))))
% 184.03/183.91 [9479]~P33(x94791,x94792,x94793,x94795,x94796)+P1(f317(f317(f247(x94791,x94792,a895),x94793),x94794))+~P1(f317(f317(f319(f905(x94791,x94792)),x94794),f317(f162(f905(x94791,x94792)),f317(f317(f171(x94791,x94792),x94795),x94796))))
% 184.03/183.91 [9627]~E(x96273,x96275)+P1(f317(f317(f319(f905(f900(x96271),f900(x96271))),f317(f317(f242(f900(x96271),f900(x96271)),f317(f317(f141(x96271),x96272),x96273)),f317(f317(f141(x96271),x96274),x96275))),f147(x96271,x96276)))+~P1(f317(f317(f319(f905(x96271,x96271)),f317(f317(f242(x96271,x96271),x96272),x96274)),x96276))
% 184.03/183.91 [9633]~E(f317(f179(f900(x96331)),x96333),f317(f179(f900(x96331)),x96335))+P1(f317(f317(f319(f905(f900(x96331),f900(x96331))),f317(f317(f242(f900(x96331),f900(x96331)),f317(f317(f141(x96331),x96332),x96333)),f317(f317(f141(x96331),x96334),x96335))),f135(x96331,x96336)))+~P1(f317(f317(f319(f905(x96331,x96331)),f317(f317(f242(x96331,x96331),x96332),x96334)),x96336))
% 184.03/183.91 [9666]P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96662),x96663)),f317(f317(f173(f905(x96661,x96661),a895),f317(a102,x96664)),x96665)))+~P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96666),x96663)),x96665))+~P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96662),x96666)),f317(f317(f173(f905(x96661,x96661),a895),x96664),x96665)))
% 184.03/183.91 [9667]P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96672),x96673)),f317(f317(f173(f905(x96671,x96671),a895),f317(a102,x96674)),x96675)))+~P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96672),x96676)),x96675))+~P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96676),x96673)),f317(f317(f173(f905(x96671,x96671),a895),x96674),x96675)))
% 184.03/183.91 [9670]~P1(f317(f317(f319(x96704),x96705),x96706))+P1(f317(f317(f224(f906(x96701,a895)),x96702),x96703))+~P1(f317(f317(f224(f906(f905(x96701,x96704),a895)),f317(f317(f244(x96701,x96704),x96702),f317(f18(f906(x96704,a895),x96701),x96706))),f317(f317(f244(x96701,x96704),x96703),f317(f18(f906(x96704,a895),x96701),x96706))))
% 184.03/183.91 [9715]E(x97151,x97152)+~P1(f317(f317(f319(f905(f900(x97153),f900(x97153))),f317(f317(f242(f900(x97153),f900(x97153)),f317(f317(f141(x97153),x97151),x97155)),f317(f317(f141(x97153),x97152),x97156))),f135(x97153,x97154)))+P1(f317(f317(f319(f905(x97153,x97153)),f317(f317(f242(x97153,x97153),x97151),x97152)),x97154))
% 184.03/183.91 [9716]E(x97161,x97162)+~P1(f317(f317(f319(f905(f900(x97163),f900(x97163))),f317(f317(f242(f900(x97163),f900(x97163)),f317(f317(f141(x97163),x97161),x97165)),f317(f317(f141(x97163),x97162),x97166))),f137(x97163,x97164)))+P1(f317(f317(f319(f905(x97163,x97163)),f317(f317(f242(x97163,x97163),x97161),x97162)),x97164))
% 184.03/183.91 [9717]E(x97171,x97172)+~P1(f317(f317(f319(f905(f900(x97173),f900(x97173))),f317(f317(f242(f900(x97173),f900(x97173)),f317(f317(f141(x97173),x97171),x97175)),f317(f317(f141(x97173),x97172),x97176))),f147(x97173,x97174)))+P1(f317(f317(f319(f905(x97173,x97173)),f317(f317(f242(x97173,x97173),x97171),x97172)),x97174))
% 184.03/183.91 [9753]P1(f317(f317(f319(f905(f900(x97531),f900(x97531))),f317(f317(f242(f900(x97531),f900(x97531)),f317(f317(f141(x97531),x97532),x97533)),f317(f317(f141(x97531),x97534),x97535))),f148(x97531,x97536)))+~P1(f317(f317(f319(f905(f900(x97531),f900(x97531))),f317(f317(f242(f900(x97531),f900(x97531)),x97533),x97535)),f148(x97531,x97536)))+~P1(f317(f317(f319(f905(x97531,x97531)),f317(f317(f242(x97531,x97531),x97532),x97534)),x97536))
% 184.03/183.91 [9770]P1(f317(x97701,x97702))+~P1(f317(x97701,f485(x97701,x97703,x97704,x97705,x97706)))+~P1(f317(f317(f319(x97706),x97702),f317(f317(f35(x97705,f906(x97706,a895)),x97704),x97703)))
% 184.03/183.91 [9775]~P1(f317(f317(f319(f905(f900(x97751),f900(x97751))),f317(f317(f242(f900(x97751),f900(x97751)),f317(f317(f141(x97751),x97752),x97755)),f317(f317(f141(x97751),x97753),x97756))),f135(x97751,x97754)))+P1(f317(f317(f319(f905(f900(x97751),f900(x97751))),f317(f317(f242(f900(x97751),f900(x97751)),x97755),x97756)),f135(x97751,x97754)))+P1(f317(f317(f319(f905(x97751,x97751)),f317(f317(f242(x97751,x97751),x97752),x97753)),x97754))
% 184.03/183.91 [9776]~P1(f317(f317(f319(f905(f900(x97761),f900(x97761))),f317(f317(f242(f900(x97761),f900(x97761)),f317(f317(f141(x97761),x97762),x97765)),f317(f317(f141(x97761),x97763),x97766))),f137(x97761,x97764)))+P1(f317(f317(f319(f905(f900(x97761),f900(x97761))),f317(f317(f242(f900(x97761),f900(x97761)),x97765),x97766)),f137(x97761,x97764)))+P1(f317(f317(f319(f905(x97761,x97761)),f317(f317(f242(x97761,x97761),x97762),x97763)),x97764))
% 184.03/183.91 [9777]~P1(f317(f317(f319(f905(f900(x97771),f900(x97771))),f317(f317(f242(f900(x97771),f900(x97771)),f317(f317(f141(x97771),x97772),x97775)),f317(f317(f141(x97771),x97773),x97776))),f147(x97771,x97774)))+P1(f317(f317(f319(f905(f900(x97771),f900(x97771))),f317(f317(f242(f900(x97771),f900(x97771)),x97775),x97776)),f147(x97771,x97774)))+P1(f317(f317(f319(f905(x97771,x97771)),f317(f317(f242(x97771,x97771),x97772),x97773)),x97774))
% 184.03/183.91 [9865]P1(f317(x98651,x98652))+P1(f317(f317(f319(x98653),f486(x98651,x98654,x98655,x98653,x98656)),x98655))+~P1(f317(f317(f319(x98656),x98652),f317(f317(f35(x98653,f906(x98656,a895)),x98655),x98654)))
% 184.03/183.91 [9877]~E(x98772,x98774)+P1(f317(f317(f319(f905(f900(x98771),f900(x98771))),f317(f317(f242(f900(x98771),f900(x98771)),f317(f317(f124(x98771),x98772),f317(f317(f141(x98771),x98773),f103(x98771)))),f317(f317(f124(x98771),x98774),f317(f317(f141(x98771),x98775),f103(x98771))))),f147(x98771,x98776)))+~P1(f317(f317(f319(f905(x98771,x98771)),f317(f317(f242(x98771,x98771),x98773),x98775)),x98776))
% 184.03/183.91 [9951]E(x99511,x99512)+~P1(f317(f317(f319(f905(f900(x99513),f900(x99513))),f317(f317(f242(f900(x99513),f900(x99513)),f317(f317(f124(x99513),x99515),f317(f317(f141(x99513),x99511),f103(x99513)))),f317(f317(f124(x99513),x99516),f317(f317(f141(x99513),x99512),f103(x99513))))),f147(x99513,x99514)))+P1(f317(f317(f319(f905(x99513,x99513)),f317(f317(f242(x99513,x99513),x99511),x99512)),x99514))
% 184.03/183.91 [9982]~P1(f317(f317(f319(f905(f900(x99821),f900(x99821))),f317(f317(f242(f900(x99821),f900(x99821)),f317(f317(f124(x99821),x99825),f317(f317(f141(x99821),x99822),f103(x99821)))),f317(f317(f124(x99821),x99826),f317(f317(f141(x99821),x99823),f103(x99821))))),f147(x99821,x99824)))+P1(f317(f317(f319(f905(f900(x99821),f900(x99821))),f317(f317(f242(f900(x99821),f900(x99821)),x99825),x99826)),f147(x99821,x99824)))+P1(f317(f317(f319(f905(x99821,x99821)),f317(f317(f242(x99821,x99821),x99822),x99823)),x99824))
% 184.03/183.91 [10002]P1(f317(x100021,x100022))+P1(f317(f317(f319(x100023),f485(x100021,x100024,x100025,x100026,x100023)),f317(x100024,f486(x100021,x100024,x100025,x100026,x100023))))+~P1(f317(f317(f319(x100023),x100022),f317(f317(f35(x100026,f906(x100023,a895)),x100025),x100024)))
% 184.03/183.91 [10153]P1(f317(f317(f319(x101531),f819(x101532,x101533,x101534,x101535,x101536,x101531)),x101535))+~P1(f317(f317(f224(f906(x101531,a895)),x101536),x101535))+P1(f317(f317(f224(f906(x101534,a895)),f317(f317(f34(x101531,f906(x101534,a895)),x101535),x101533)),f317(f317(f34(x101531,f906(x101534,a895)),x101535),x101532)))
% 184.03/183.91 [10280]~P1(f317(f317(f224(f906(x102801,a895)),f317(x102804,f819(x102805,x102804,x102801,x102803,x102806,x102802))),f317(x102805,f819(x102805,x102804,x102801,x102803,x102806,x102802))))+~P1(f317(f317(f224(f906(x102802,a895)),x102806),x102803))+P1(f317(f317(f224(f906(x102801,a895)),f317(f317(f34(x102802,f906(x102801,a895)),x102803),x102804)),f317(f317(f34(x102802,f906(x102801,a895)),x102803),x102805)))
% 184.03/183.91 [8993]~P16(x89933,x89934,x89931)+~P1(f317(f28(x89933),x89936))+E(f317(f317(x89931,x89932),f317(f317(f58(x89933,x89934,x89931),x89935),f317(f317(f3(f906(x89933,a895)),x89936),f317(f317(f299(x89933),x89932),f178(f906(x89933,a895)))))),f317(f317(f58(x89933,x89934,x89931),x89935),f317(f317(f299(x89933),x89932),x89936)))
% 184.03/183.91 [9286]~P1(f317(f317(f319(x92865),x92863),x92866))+P1(f317(f317(f224(f906(x92861,a895)),f317(x92862,x92863)),x92864))+~P1(f317(f317(f224(f906(x92861,a895)),f317(f317(f35(x92865,f906(x92861,a895)),x92866),x92862)),x92864))
% 184.03/183.91 [9926]~P8(x99261,x99265,x99264)+P1(f317(f317(f319(f905(x99261,x99261)),f317(f317(f242(x99261,x99261),x99262),x99263)),x99264))+~P1(f317(f317(f319(x99261),x99266),f317(f317(f92(f906(x99261,a895)),f317(f275(x99261,x99261,x99264),f317(f317(f299(x99261),x99262),f178(f906(x99261,a895))))),f317(f275(x99261,x99261,x99264),f317(f317(f299(x99261),x99263),f178(f906(x99261,a895)))))))
% 184.03/183.91 [8715]~P110(x87152)+~E(f317(f317(f74(x87152),f317(f317(f75(x87152),x87154),x87155)),x87151),f317(f317(f74(x87152),f317(f317(f75(x87152),x87153),x87155)),x87156))+E(x87151,f317(f317(f74(x87152),f317(f317(f75(x87152),f317(f317(f3(x87152),x87153),x87154)),x87155)),x87156))
% 184.03/183.91 [8716]~P110(x87161)+~E(f317(f317(f74(x87161),f317(f317(f75(x87161),x87162),x87164)),x87165),f317(f317(f74(x87161),f317(f317(f75(x87161),x87163),x87164)),x87166))+E(f317(f317(f74(x87161),f317(f317(f75(x87161),f317(f317(f3(x87161),x87162),x87163)),x87164)),x87165),x87166)
% 184.03/183.91 [8898]~P110(x88981)+E(f317(f317(f74(x88981),f317(f317(f75(x88981),x88982),x88983)),x88984),f317(f317(f74(x88981),f317(f317(f75(x88981),x88985),x88983)),x88986))+~E(x88986,f317(f317(f74(x88981),f317(f317(f75(x88981),f317(f317(f3(x88981),x88982),x88985)),x88983)),x88984))
% 184.03/183.91 [8899]~P110(x88991)+E(f317(f317(f74(x88991),f317(f317(f75(x88991),x88992),x88993)),x88994),f317(f317(f74(x88991),f317(f317(f75(x88991),x88995),x88993)),x88996))+~E(f317(f317(f74(x88991),f317(f317(f75(x88991),f317(f317(f3(x88991),x88992),x88995)),x88993)),x88994),x88996)
% 184.03/183.91 [9223]~P1(f317(f317(x92234,x92235),x92236))+~P1(f317(f317(x92233,x92235),x92236))+P1(f317(f317(f317(f317(f92(f906(x92231,f906(x92232,a895))),x92233),x92234),x92235),x92236))
% 184.03/183.91 [9488]P1(f317(f317(x94881,x94882),x94883))+P1(f317(f317(x94884,x94882),x94883))+~P1(f317(f317(f317(f317(f91(f906(x94885,f906(x94886,a895))),x94884),x94881),x94882),x94883))
% 184.03/183.91 [9790]~P111(x97901)+~P1(f317(f317(f224(x97901),f317(f317(f74(x97901),f317(f317(f75(x97901),x97904),x97905)),x97902)),f317(f317(f74(x97901),f317(f317(f75(x97901),x97903),x97905)),x97906)))+P1(f317(f317(f224(x97901),x97902),f317(f317(f74(x97901),f317(f317(f75(x97901),f317(f317(f3(x97901),x97903),x97904)),x97905)),x97906)))
% 184.03/183.91 [9791]~P111(x97911)+~P1(f317(f317(f225(x97911),f317(f317(f74(x97911),f317(f317(f75(x97911),x97914),x97915)),x97912)),f317(f317(f74(x97911),f317(f317(f75(x97911),x97913),x97915)),x97916)))+P1(f317(f317(f225(x97911),x97912),f317(f317(f74(x97911),f317(f317(f75(x97911),f317(f317(f3(x97911),x97913),x97914)),x97915)),x97916)))
% 184.03/183.91 [9814]~P111(x98141)+P1(f317(f317(f224(x98141),f317(f317(f74(x98141),f317(f317(f75(x98141),x98142),x98143)),x98144)),f317(f317(f74(x98141),f317(f317(f75(x98141),x98145),x98143)),x98146)))+~P1(f317(f317(f224(x98141),x98144),f317(f317(f74(x98141),f317(f317(f75(x98141),f317(f317(f3(x98141),x98145),x98142)),x98143)),x98146)))
% 184.03/183.91 [9815]~P111(x98151)+P1(f317(f317(f225(x98151),f317(f317(f74(x98151),f317(f317(f75(x98151),x98152),x98153)),x98154)),f317(f317(f74(x98151),f317(f317(f75(x98151),x98155),x98153)),x98156)))+~P1(f317(f317(f225(x98151),x98154),f317(f317(f74(x98151),f317(f317(f75(x98151),f317(f317(f3(x98151),x98155),x98152)),x98153)),x98156)))
% 184.03/183.91 [9918]~P111(x99181)+~P1(f317(f317(f224(x99181),f317(f317(f74(x99181),f317(f317(f75(x99181),x99182),x99184)),x99185)),f317(f317(f74(x99181),f317(f317(f75(x99181),x99183),x99184)),x99186)))+P1(f317(f317(f224(x99181),f317(f317(f74(x99181),f317(f317(f75(x99181),f317(f317(f3(x99181),x99182),x99183)),x99184)),x99185)),x99186))
% 184.03/183.91 [9919]~P111(x99191)+~P1(f317(f317(f225(x99191),f317(f317(f74(x99191),f317(f317(f75(x99191),x99192),x99194)),x99195)),f317(f317(f74(x99191),f317(f317(f75(x99191),x99193),x99194)),x99196)))+P1(f317(f317(f225(x99191),f317(f317(f74(x99191),f317(f317(f75(x99191),f317(f317(f3(x99191),x99192),x99193)),x99194)),x99195)),x99196))
% 184.03/183.91 [9965]~P111(x99651)+P1(f317(f317(f224(x99651),f317(f317(f74(x99651),f317(f317(f75(x99651),x99652),x99653)),x99654)),f317(f317(f74(x99651),f317(f317(f75(x99651),x99655),x99653)),x99656)))+~P1(f317(f317(f224(x99651),f317(f317(f74(x99651),f317(f317(f75(x99651),f317(f317(f3(x99651),x99652),x99655)),x99653)),x99654)),x99656))
% 184.03/183.91 [9966]~P111(x99661)+P1(f317(f317(f225(x99661),f317(f317(f74(x99661),f317(f317(f75(x99661),x99662),x99663)),x99664)),f317(f317(f74(x99661),f317(f317(f75(x99661),x99665),x99663)),x99666)))+~P1(f317(f317(f225(x99661),f317(f317(f74(x99661),f317(f317(f75(x99661),f317(f317(f3(x99661),x99662),x99665)),x99663)),x99664)),x99666))
% 184.03/183.91 [10138]~P70(x101382)+~P1(f317(f28(x101381),x101386))+E(f317(f317(f8(x101381,x101382),f317(f317(f20(x101381,x101382,x101382),f317(f317(f20(x101381,x101382,f906(x101382,x101382)),f317(f317(f10(a895,f906(x101382,f906(x101382,x101382)),x101381),f86(x101382)),x101383)),x101384)),x101385)),x101386),f317(f317(f74(x101382),f317(f317(f8(x101381,x101382),x101384),f317(f317(f92(f906(x101381,a895)),x101386),f317(f252(x101381),x101383)))),f317(f317(f8(x101381,x101382),x101385),f317(f317(f92(f906(x101381,a895)),x101386),f317(f73(f906(x101381,a895)),f317(f252(x101381),x101383))))))
% 184.03/183.91 [10199]P1(f317(f317(f319(x101992),x101994),x101996))+P1(f317(f317(f319(x101992),x101995),x101996))+E(f317(f301(x101991,x101992,f317(f317(f9(x101991,x101992,x101992),f317(f317(f9(x101991,x101992,f906(x101992,x101992)),f317(f317(f10(a895,f906(x101992,f906(x101992,x101992)),x101991),f86(x101992)),f317(f317(f9(x101991,f906(x101991,a895),a895),f319(x101991)),x101993))),x101994)),x101995)),x101996),f178(f906(x101991,a895)))
% 184.03/183.91 [10200]P1(f317(f317(f319(x102002),x102005),x102006))+~P1(f317(f317(f319(x102002),x102004),x102006))+E(f317(f301(x102001,x102002,f317(f317(f9(x102001,x102002,x102002),f317(f317(f9(x102001,x102002,f906(x102002,x102002)),f317(f317(f10(a895,f906(x102002,f906(x102002,x102002)),x102001),f86(x102002)),f317(f317(f9(x102001,f906(x102001,a895),a895),f319(x102001)),x102003))),x102004)),x102005)),x102006),x102003)
% 184.03/183.91 [10201]P1(f317(f317(f319(x102012),x102014),x102016))+~P1(f317(f317(f319(x102012),x102015),x102016))+E(f317(f301(x102011,x102012,f317(f317(f9(x102011,x102012,x102012),f317(f317(f9(x102011,x102012,f906(x102012,x102012)),f317(f317(f10(a895,f906(x102012,f906(x102012,x102012)),x102011),f86(x102012)),f317(f317(f9(x102011,f906(x102011,a895),a895),f319(x102011)),x102013))),x102014)),x102015)),x102016),f317(f73(f906(x102011,a895)),x102013))
% 184.03/183.91 [10202]~P1(f317(f317(f319(x102022),x102024),x102026))+~P1(f317(f317(f319(x102022),x102025),x102026))+E(f317(f301(x102021,x102022,f317(f317(f9(x102021,x102022,x102022),f317(f317(f9(x102021,x102022,f906(x102022,x102022)),f317(f317(f10(a895,f906(x102022,f906(x102022,x102022)),x102021),f86(x102022)),f317(f317(f9(x102021,f906(x102021,a895),a895),f319(x102021)),x102023))),x102024)),x102025)),x102026),f232(f906(x102021,a895)))
% 184.03/183.91 [8748]E(x87481,x87482)+~P56(x87484,x87485,x87483,x87486,x87487)+~E(f317(x87483,x87481),f317(x87483,x87482))
% 184.03/183.91 [8777]~P10(x87776,x87775,x87777,x87774,x87771)+E(f317(f317(x87771,x87772),x87773),x87774)+P1(f317(f28(x87775),x87773))
% 184.03/183.91 [9657]P41(x96571,x96572,x96573,x96574,x96575,f317(f317(x96573,x96576),x96577))+~E(f317(f317(x96573,x96576),x96577),x96574)+~E(x96575,f178(f906(x96571,a895)))
% 184.03/183.91 [9836]~P1(f317(x98366,x98363))+~P1(f317(f317(f319(f905(x98362,x98362)),f317(f317(f242(x98362,x98362),x98364),x98365)),f317(x98367,x98363)))+P1(f317(f317(f319(f905(f905(x98361,x98362),f905(x98361,x98362))),f317(f317(f242(f905(x98361,x98362),f905(x98361,x98362)),f317(f317(f242(x98361,x98362),x98363),x98364)),f317(f317(f242(x98361,x98362),x98363),x98365))),f270(x98361,x98362,x98366,x98367)))
% 184.03/183.91 [10264]~P41(x102642,x102647,x102643,x102646,x102641,f317(f317(x102643,x102645),x102644))+E(f317(f317(x102643,f523(x102644,x102645,x102641,x102646,x102643,x102647,x102642)),f536(x102644,x102645,x102641,x102646,x102643,x102647,x102642)),f317(f317(x102643,x102645),x102644))+E(x102641,f178(f906(x102642,a895)))
% 184.03/183.91 [10265]~P41(x102657,x102656,x102651,x102654,x102655,f317(f317(x102651,x102652),x102653))+E(f317(f317(x102651,f523(x102653,x102652,x102655,x102654,x102651,x102656,x102657)),f536(x102653,x102652,x102655,x102654,x102651,x102656,x102657)),f317(f317(x102651,x102652),x102653))+E(f317(f317(x102651,x102652),x102653),x102654)
% 184.03/183.91 [9320]~P33(x93201,x93202,x93203,x93205,x93207)+P33(x93201,x93202,x93203,f317(f317(f141(x93201),x93204),x93205),f317(f317(f141(x93202),x93206),x93207))+~P1(f317(f317(x93203,x93204),x93206))
% 184.03/183.91 [9339]P33(x93391,x93392,x93393,x93394,x93395)+~P33(x93391,x93392,x93393,f317(f317(f124(x93391),x93396),x93394),f317(f317(f124(x93392),x93397),x93395))+~E(f317(f179(f900(x93391)),x93396),f317(f179(f900(x93392)),x93397))
% 184.03/183.91 [9340]P33(x93401,x93402,x93403,x93404,x93405)+~P33(x93401,x93402,x93403,f317(f317(f124(x93401),x93404),x93406),f317(f317(f124(x93402),x93405),x93407))+~E(f317(f179(f900(x93401)),x93404),f317(f179(f900(x93402)),x93405))
% 184.03/183.91 [9555]~P33(x95551,x95552,x95553,x95555,x95557)+~P33(x95551,x95552,x95553,x95554,x95556)+P33(x95551,x95552,x95553,f317(f317(f124(x95551),x95554),x95555),f317(f317(f124(x95552),x95556),x95557))
% 184.03/183.91 [9911]~P1(f317(f60(x99111,x99114,x99115,x99116,x99113),x99117))+P1(f317(f60(x99111,x99114,x99115,x99116,f317(f317(f299(x99111),x99112),x99113)),f317(f317(x99115,x99112),x99117)))+P1(f317(f317(f319(x99111),x99112),x99113))
% 184.03/183.91 [10296]~P41(x102962,x102967,x102966,x102965,x102961,f317(f317(x102966,x102964),x102963))+E(x102961,f178(f906(x102962,a895)))+P1(f317(f317(f319(x102962),f523(x102963,x102964,x102961,x102965,x102966,x102967,x102962)),x102961))
% 184.03/183.91 [10297]~P41(x102975,x102977,x102971,x102974,x102976,f317(f317(x102971,x102972),x102973))+E(f317(f317(x102971,x102972),x102973),x102974)+P1(f317(f317(f319(x102975),f523(x102973,x102972,x102976,x102974,x102971,x102977,x102975)),x102976))
% 184.03/183.91 [10384]E(f317(f317(f242(x103841,x103842),x103843),x103844),f317(f317(f242(x103841,x103842),x103845),x103846))+P1(f317(f317(f319(f905(f905(x103841,x103842),f905(x103841,x103842))),f317(f317(f242(f905(x103841,x103842),f905(x103841,x103842)),f317(f317(f242(x103841,x103842),f821(x103847,x103844,x103843,x103846,x103845,x103842,x103841)),f822(x103847,x103844,x103843,x103846,x103845,x103842,x103841))),f317(f317(f242(x103841,x103842),x103843),x103844))),f297(f905(x103841,x103842),x103847)))+~P1(f317(f317(f319(f905(f905(x103841,x103842),f905(x103841,x103842))),f317(f317(f242(f905(x103841,x103842),f905(x103841,x103842)),f317(f317(f242(x103841,x103842),x103845),x103846)),f317(f317(f242(x103841,x103842),x103843),x103844))),f297(f905(x103841,x103842),x103847)))
% 184.03/183.91 [9018]~P21(x90184,x90185,x90186,x90187,x90181)+~P1(f317(f28(x90185),x90183))+E(f317(f317(x90181,x90182),x90183),f317(f317(f317(f59(x90184,x90185,x90186),x90182),x90187),x90183))
% 184.03/183.91 [9019]~P10(x90194,x90195,x90196,x90197,x90191)+~P1(f317(f28(x90195),x90193))+E(f317(f317(x90191,x90192),x90193),f317(f317(f317(f59(x90194,x90195,x90196),x90192),x90197),x90193))
% 184.03/183.91 [9809]~P23(x98093,x98094,x98095,x98097,x98096,x98091)+~P1(f317(f28(x98094),x98092))+E(f317(x98091,x98092),f317(f317(f317(f59(x98093,x98094,x98095),x98096),x98097),x98092))
% 184.03/183.91 [9960]P41(x99601,x99602,x99603,x99604,x99605,f317(f317(x99603,x99606),x99607))+~P41(x99601,x99602,x99603,x99604,f317(f317(f3(f906(x99601,a895)),x99605),f317(f317(f299(x99601),x99606),f178(f906(x99601,a895)))),x99607)+~P1(f317(f317(f319(x99601),x99606),x99605))
% 184.03/183.91 [10320]P1(f317(f317(x103207,f771(x103204,x103205,x103201,x103206,x103203,x103202,x103207)),f772(x103204,x103205,x103201,x103206,x103203,x103202,x103207)))+~P1(f317(f317(x103207,f317(f246(x103202,x103203),x103206)),f317(f241(x103202,x103203),x103206)))+P1(f317(x103201,f317(f317(f247(x103202,x103203,x103204),x103205),x103206)))
% 184.03/183.91 [10330]~P41(x103302,x103303,x103304,x103305,x103301,f317(f317(x103304,x103307),x103306))+P41(x103302,x103303,x103304,x103305,f317(f317(f3(f906(x103302,a895)),x103301),f317(f317(f299(x103302),f523(x103306,x103307,x103301,x103305,x103304,x103303,x103302)),f178(f906(x103302,a895)))),f536(x103306,x103307,x103301,x103305,x103304,x103303,x103302))+E(x103301,f178(f906(x103302,a895)))
% 184.03/183.91 [10331]~P41(x103315,x103316,x103311,x103314,x103317,f317(f317(x103311,x103312),x103313))+P41(x103315,x103316,x103311,x103314,f317(f317(f3(f906(x103315,a895)),x103317),f317(f317(f299(x103315),f523(x103313,x103312,x103317,x103314,x103311,x103316,x103315)),f178(f906(x103315,a895)))),f536(x103313,x103312,x103317,x103314,x103311,x103316,x103315))+E(f317(f317(x103311,x103312),x103313),x103314)
% 184.03/183.91 [10351]~P1(f317(x103511,f317(f317(x103515,f772(x103514,x103515,x103511,x103516,x103513,x103512,x103517)),f771(x103514,x103515,x103511,x103516,x103513,x103512,x103517))))+~P1(f317(f317(x103517,f317(f246(x103512,x103513),x103516)),f317(f241(x103512,x103513),x103516)))+P1(f317(x103511,f317(f317(f247(x103512,x103513,x103514),x103515),x103516)))
% 184.03/183.91 [9641]P1(f317(f317(f224(f906(f905(x96411,x96412),a895)),f317(f317(f279(x96411,x96413,x96412),x96414),x96415)),f317(f317(f279(x96411,x96413,x96412),x96416),x96417)))+~P1(f317(f317(f224(f906(f905(x96413,x96412),a895)),x96415),x96417))+~P1(f317(f317(f224(f906(f905(x96411,x96413),a895)),x96414),x96416))
% 184.03/183.91 [10378]E(f317(f317(f242(x103781,x103782),x103783),x103784),f317(f317(f242(x103781,x103782),x103785),x103786))+~P1(f317(f317(f319(f905(f905(x103781,x103782),f905(x103781,x103782))),f317(f317(f242(f905(x103781,x103782),f905(x103781,x103782)),f317(f317(f242(x103781,x103782),x103783),x103784)),f317(f317(f242(x103781,x103782),x103785),x103786))),f297(f905(x103781,x103782),x103787)))+P1(f317(f317(f319(f905(f905(x103781,x103782),f905(x103781,x103782))),f317(f317(f242(f905(x103781,x103782),f905(x103781,x103782)),f317(f317(f242(x103781,x103782),x103783),x103784)),f317(f317(f242(x103781,x103782),f821(x103787,x103786,x103785,x103784,x103783,x103782,x103781)),f822(x103787,x103786,x103785,x103784,x103783,x103782,x103781)))),x103787))
% 184.03/183.91 [9971]~P1(f317(f317(f319(x99711),x99716),x99715))+P1(f317(f60(x99711,x99712,x99713,x99714,x99715),f317(f317(x99713,x99716),x99717)))+~P1(f317(f60(x99711,x99712,x99713,x99714,f317(f317(f3(f906(x99711,a895)),x99715),f317(f317(f299(x99711),x99716),f178(f906(x99711,a895))))),x99717))
% 184.03/183.91 [10391]~P146(x103911)+~P24(f905(x103912,x103913),x103911,f317(f247(x103912,x103913,x103911),f317(f317(f9(x103912,f906(x103913,x103911),f906(x103913,x103911)),f317(f317(f10(f906(x103911,x103911),f906(f906(x103913,x103911),f906(x103913,x103911)),x103912),f10(x103911,x103911,x103913)),f317(f317(f10(x103911,f906(x103911,x103911),x103912),f75(x103911)),x103914))),x103915)),f317(f317(f244(x103912,x103913),x103916),f317(f18(f906(x103913,a895),x103912),x103917)))+E(f317(f317(f8(x103911,x103911),f25(x103911)),f317(f252(x103911),f317(f317(f10(f906(x103912,a895),a895,x103911),f81(x103912)),f317(f317(f10(f906(x103912,f906(x103913,a895)),f906(x103912,a895),x103911),f317(f10(f906(x103913,a895),a895,x103912),f81(x103913))),f317(f317(f9(x103911,f906(x103912,f906(x103913,a895)),f906(x103912,f906(x103913,a895))),f317(f317(f10(f906(x103912,f906(f906(x103913,a895),f906(x103913,a895))),f906(f906(x103912,f906(x103913,a895)),f906(x103912,f906(x103913,a895))),x103911),f20(x103912,f906(x103913,a895),f906(x103913,a895))),f317(f317(f10(f906(x103912,f906(x103913,f906(a895,a895))),f906(x103912,f906(f906(x103913,a895),f906(x103913,a895))),x103911),f317(f10(f906(x103913,f906(a895,a895)),f906(f906(x103913,a895),f906(x103913,a895)),x103912),f20(x103913,a895,a895))),f317(f317(f10(f906(x103912,f906(x103913,a895)),f906(x103912,f906(x103913,f906(a895,a895))),x103911),f317(f10(f906(x103913,a895),f906(x103913,f906(a895,a895)),x103912),f317(f10(a895,f906(a895,a895),x103913),a315))),f317(f317(f9(x103911,f906(x103912,f906(x103913,x103911)),f906(x103912,f906(x103913,a895))),f317(f317(f10(f906(f906(x103913,x103911),f906(x103913,a895)),f906(f906(x103912,f906(x103913,x103911)),f906(x103912,f906(x103913,a895))),x103911),f10(f906(x103913,x103911),f906(x103913,a895),x103912)),f317(f317(f10(f906(x103911,a895),f906(f906(x103913,x103911),f906(x103913,a895)),x103911),f10(x103911,a895,x103913)),a314))),f317(f317(f9(x103912,f906(x103913,x103911),f906(x103913,x103911)),f317(f317(f10(f906(x103911,x103911),f906(f906(x103913,x103911),f906(x103913,x103911)),x103912),f10(x103911,x103911,x103913)),f317(f317(f10(x103911,f906(x103911,x103911),x103912),f75(x103911)),x103914))),x103915)))))),f317(f317(f9(x103912,f906(x103913,a895),f906(x103913,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x103913,a895),f906(x103913,a895)),x103912),f10(a895,a895,x103913)),f317(f317(f10(a895,f906(a895,a895),x103912),a315),f317(f317(f9(x103912,f906(x103912,a895),a895),f319(x103912)),x103916)))),f317(f317(f9(x103913,f906(x103913,a895),a895),f319(x103913)),x103917))))))),f317(f317(f75(x103911),f317(f317(f8(x103912,x103911),x103914),x103916)),f317(f317(f8(x103913,x103911),x103915),x103917)))
% 184.03/183.91 [9645]~P25(x96451,x96453,x96455,x96456,x96458)+~P25(x96453,x96452,x96454,x96458,x96457)+P25(x96451,x96452,f317(f67(x96453,x96452,x96451,x96454),x96455),x96456,x96457)
% 184.03/183.91 [9675]P25(x96751,x96752,x96753,x96754,x96755)+~P25(x96756,x96751,x96757,x96758,x96754)+~P25(x96756,x96752,f317(f67(x96751,x96752,x96756,x96753),x96757),x96758,x96755)
% 184.03/183.91 [9807]~P1(f317(f317(x98074,x98076),x98078))+~P1(f317(f317(x98075,x98078),x98077))+P1(f317(f317(f243(x98071,x98072,x98073,x98074,x98075),x98076),x98077))
% 184.03/183.91 [9395]~P19(x93958,x93951,x93953,x93955)+~P1(f317(f28(x93958),x93956))+E(f317(f67(x93951,x93951,x93952,f317(x93953,x93954)),f317(f67(x93951,x93951,x93952,f317(x93955,x93956)),x93957)),f317(f67(x93951,x93951,x93952,f317(x93955,x93956)),f317(f67(x93951,x93951,x93952,f317(x93953,x93954)),x93957)))
% 184.03/183.91 [9797]~P22(x97977,x97972,x97975,x97978,x97976,x97971)+~P1(f317(f28(x97972),x97974))+E(f317(x97971,f317(f317(f299(x97972),x97973),x97974)),f317(f317(x97975,f317(x97976,x97973)),f317(x97971,x97974)))
% 184.03/183.91 [9916]~P24(x99162,x99164,x99166,x99168)+~P24(x99161,x99163,x99165,x99167)+P24(f905(x99161,x99162),f905(x99163,x99164),f248(x99161,x99163,x99162,x99164,x99165,x99166),f317(f317(f244(x99161,x99162),x99167),f317(f18(f906(x99162,a895),x99161),x99168)))
% 184.03/183.91 [9581]P1(f317(f317(f319(f905(x95811,x95812)),f317(f317(f242(x95811,x95812),x95813),x95814)),f317(f317(f279(x95811,x95815,x95812),x95816),x95817)))+~P1(f317(f317(f319(f905(x95811,x95815)),f317(f317(f242(x95811,x95815),x95813),x95818)),x95816))+~P1(f317(f317(f319(f905(x95815,x95812)),f317(f317(f242(x95815,x95812),x95818),x95814)),x95817))
% 184.03/183.91 [9778]~P1(f317(f317(f224(f906(f905(x97783,x97782),a895)),x97785),f317(f317(f244(x97783,x97782),x97788),f317(f18(f906(x97782,a895),x97783),x97787))))+~P1(f317(f317(f224(f906(f905(x97781,x97783),a895)),x97784),f317(f317(f244(x97781,x97783),x97786),f317(f18(f906(x97783,a895),x97781),x97788))))+P1(f317(f317(f224(f906(f905(x97781,x97782),a895)),f317(f317(f279(x97781,x97783,x97782),x97784),x97785)),f317(f317(f244(x97781,x97782),x97786),f317(f18(f906(x97782,a895),x97781),x97787))))
% 184.03/183.91 [9831]~E(x98313,x98315)+P1(f317(f317(f319(f905(f905(x98311,x98312),f905(x98311,x98312))),f317(f317(f242(f905(x98311,x98312),f905(x98311,x98312)),f317(f317(f242(x98311,x98312),x98313),x98314)),f317(f317(f242(x98311,x98312),x98315),x98316))),f309(x98311,x98312,x98317,x98318)))+~P1(f317(f317(f319(f905(x98312,x98312)),f317(f317(f242(x98312,x98312),x98314),x98316)),x98318))
% 184.03/183.91 [9935]E(x99351,x99352)+~P1(f317(f317(f319(f905(f905(x99353,x99355),f905(x99353,x99355))),f317(f317(f242(f905(x99353,x99355),f905(x99353,x99355)),f317(f317(f242(x99353,x99355),x99351),x99356)),f317(f317(f242(x99353,x99355),x99352),x99357))),f309(x99353,x99355,x99354,x99358)))+P1(f317(f317(f319(f905(x99353,x99353)),f317(f317(f242(x99353,x99353),x99351),x99352)),x99354))
% 184.03/183.91 [9950]~P1(f317(f317(f319(f905(f905(x99501,x99505),f905(x99501,x99505))),f317(f317(f242(f905(x99501,x99505),f905(x99501,x99505)),f317(f317(f242(x99501,x99505),x99502),x99506)),f317(f317(f242(x99501,x99505),x99503),x99507))),f309(x99501,x99505,x99504,x99508)))+P1(f317(f317(f319(f905(x99501,x99501)),f317(f317(f242(x99501,x99501),x99502),x99503)),x99504))+P1(f317(f317(f319(f905(x99505,x99505)),f317(f317(f242(x99505,x99505),x99506),x99507)),x99508))
% 184.03/183.91 [9866]~P23(x98667,x98665,x98661,x98668,x98662,x98664)+~P1(f317(f28(x98665),x98666))+E(f317(f317(x98661,f317(x98662,x98663)),f317(x98664,f317(f317(f3(f906(x98665,a895)),x98666),f317(f317(f299(x98665),x98663),f178(f906(x98665,a895)))))),f317(x98664,f317(f317(f299(x98665),x98663),x98666)))
% 184.03/183.91 [9346]~P1(f317(f317(f317(x93465,x93468),x93466),x93467))+~P1(f317(f317(f319(x93461),x93468),x93464))+P1(f317(f317(f317(f317(f35(x93461,f906(x93462,f906(x93463,a895))),x93464),x93465),x93466),x93467))
% 184.03/183.91 [9566]P1(f317(f317(f317(x95661,x95662),x95663),x95664))+~P1(f317(f317(f319(x95665),x95662),x95666))+~P1(f317(f317(f317(f317(f34(x95665,f906(x95667,f906(x95668,a895))),x95666),x95661),x95663),x95664))
% 184.03/183.91 [9771]~P21(x97713,x97712,x97714,x97718,x97711)+~P1(f317(f28(x97712),x97717))+E(f317(f317(x97711,f317(f317(f20(x97712,x97713,x97713),f317(f317(f10(x97713,f906(x97713,x97713),x97712),x97714),x97715)),x97716)),x97717),f317(f317(x97714,f317(f317(x97711,x97715),x97717)),f317(f317(x97711,x97716),x97717)))
% 184.03/183.91 [10036]~E(f317(f300(x100362,x100364,x100366),x100368),x1003610)+~E(f317(f300(x100361,x100363,x100365),x100367),x100369)+E(f317(f300(f905(x100361,x100362),f905(x100363,x100364),f248(x100361,x100363,x100362,x100364,x100365,x100366)),f317(f317(f244(x100361,x100362),x100367),f317(f18(f906(x100362,a895),x100361),x100368))),f317(f317(f244(x100363,x100364),x100369),f317(f18(f906(x100364,a895),x100363),x1003610)))
% 184.03/183.91 [4946]~P42(x49461,x49462)+~P49(x49461,x49462)+~P50(x49461,x49462)+P7(x49461,x49462)
% 184.03/183.91 [4902]~P107(x49022)+~P13(x49022,x49021)+P13(x49022,f104(x49022,x49021))+E(x49021,f103(x49022))
% 184.03/183.91 [4903]~P107(x49032)+~P13(x49032,x49031)+P13(x49032,f690(x49031,x49032))+E(x49031,f103(x49032))
% 184.03/183.91 [5150]~P5(x51502)+E(f12(x51502,x51501),f31(x51502,x51501))+E(x51501,f178(f906(x51502,a895)))+~P1(f317(f28(x51502),x51501))
% 184.03/183.91 [5151]~P5(x51512)+E(f13(x51512,x51511),f32(x51512,x51511))+E(x51511,f178(f906(x51512,a895)))+~P1(f317(f28(x51512),x51511))
% 184.03/183.91 [5308]~P107(x53082)+~P13(x53082,x53081)+E(x53081,f103(x53082))+E(f317(f317(f141(x53082),f709(x53081,x53082)),f690(x53081,x53082)),x53081)
% 184.03/183.91 [6131]~P98(x61312)+E(x61311,f178(f906(x61312,a895)))+P1(f317(f317(f224(x61312),f13(x61312,x61311)),f12(x61312,x61311)))+~P1(f317(f28(x61312),x61311))
% 184.03/183.91 [6142]~P39(x61422)+~P39(x61421)+E(x61421,x61422)+~E(f317(f300(a1,a899,a95),x61421),f317(f300(a1,a899,a95),x61422))
% 184.03/183.91 [9202]~P113(x92021)+~P1(f317(f317(f319(x92021),x92022),f100(x92021)))+P1(f317(f317(f225(x92021),f317(f317(f74(x92021),f317(f317(f74(x92021),f72(x92021)),x92022)),x92022)),f2(x92021)))+~P1(f317(f317(f225(x92021),x92022),f2(x92021)))
% 184.03/183.91 [9448]~P113(x94481)+~P1(f317(f317(f319(x94481),x94482),f100(x94481)))+~P1(f317(f317(f225(x94481),f317(f317(f74(x94481),f317(f317(f74(x94481),f72(x94481)),x94482)),x94482)),f2(x94481)))+P1(f317(f317(f225(x94481),x94482),f2(x94481)))
% 184.03/183.91 [4961]~P115(x49612)+~P146(x49612)+E(x49611,f2(a899))+E(f317(f317(f234(x49612),f2(x49612)),x49611),f2(x49612))
% 184.03/183.91 [4964]~P115(x49641)+~P146(x49641)+~E(x49642,f2(a899))+E(f317(f317(f234(x49641),f2(x49641)),x49642),f72(x49641))
% 184.03/183.91 [5136]~P142(x51362)+E(x51361,f72(x51362))+E(x51361,f317(f73(x51362),f72(x51362)))+~E(f317(f317(f75(x51362),x51361),x51361),f72(x51362))
% 184.03/183.91 [5385]~P89(x53852)+E(x53851,f2(x53852))+E(f76(x53852,x53851),f317(f73(x53852),f72(x53852)))+P1(f317(f317(f225(x53852),f2(x53852)),x53851))
% 184.03/183.91 [5627]~P89(x56272)+E(f76(x56272,x56271),f72(x56272))+E(x56271,f2(x56272))+~P1(f317(f317(f225(x56272),f2(x56272)),x56271))
% 184.03/183.91 [5636]E(x56361,x56362)+~E(f317(f94(a899),x56361),f317(f94(a899),x56362))+P1(f317(a183,f317(f94(a1),x56362)))+P1(f317(a183,f317(f94(a1),x56361)))
% 184.03/183.91 [5687]~P91(x56871)+~E(x56872,f2(x56871))+E(f317(f317(f74(x56871),x56872),x56872),f2(x56871))+~P1(f317(f317(f319(x56871),x56872),f100(x56871)))
% 184.03/183.91 [5726]E(x57261,f2(a1))+~E(f317(f317(f30(a1),x57262),x57261),f2(a1))+P1(f317(f317(f225(a1),x57261),x57262))+P1(f317(f317(f225(a1),x57262),x57261))
% 184.03/183.91 [5756]E(x57561,f2(a1))+~E(f317(f317(f30(a1),x57562),x57561),f2(a1))+P1(f317(f317(f224(a1),x57562),f2(a1)))+P1(f317(f317(f225(a1),x57562),x57561))
% 184.03/183.91 [5790]E(x57901,f2(a1))+~E(f317(f317(f30(a1),x57902),x57901),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x57902))+P1(f317(f317(f225(a1),x57901),x57902))
% 184.03/183.91 [5825]~P91(x58252)+E(x58251,f2(x58252))+~E(f317(f317(f74(x58252),x58251),x58251),f2(x58252))+~P1(f317(f317(f319(x58252),x58251),f100(x58252)))
% 184.03/183.91 [5896]E(f317(f94(a899),x58961),f317(f94(a899),x58962))+~E(f317(f94(a1),x58962),f2(a1))+P1(f317(a183,f317(f94(a1),x58962)))+~P1(f317(a183,f317(f94(a1),x58961)))
% 184.03/183.91 [5925]~E(f317(f94(a899),x59252),f317(f94(a899),x59251))+E(f317(f94(a1),x59251),f2(a1))+P1(f317(a183,f317(f94(a1),x59251)))+~P1(f317(a183,f317(f94(a1),x59252)))
% 184.03/183.91 [5935]~P107(x59352)+E(x59351,f178(f906(x59352,a895)))+~P1(f317(f28(x59352),x59351))+P1(f317(f317(f319(x59352),f16(x59352,x59351)),x59351))
% 184.03/183.91 [5936]~P107(x59362)+E(x59361,f178(f906(x59362,a895)))+~P1(f317(f28(x59362),x59361))+P1(f317(f317(f319(x59362),f17(x59362,x59361)),x59361))
% 184.03/183.91 [6108]~P113(x61081)+~P93(x61081)+P1(f317(f317(f224(x61081),f2(x61081)),f317(f94(x61081),x61082)))+~P1(f317(f317(f224(a1),a77),x61082))
% 184.03/183.91 [6109]~P113(x61091)+~P93(x61091)+P1(f317(f317(f225(x61091),f2(x61091)),f317(f94(x61091),x61092)))+~P1(f317(f317(f225(a1),a77),x61092))
% 184.03/183.91 [6130]~P113(x61301)+~P93(x61301)+E(f317(f70(x61301),f317(f94(x61301),x61302)),f317(f94(x61301),x61302))+P1(f317(f317(f225(x61301),f317(f94(x61301),x61302)),f2(x61301)))
% 184.03/183.91 [6166]E(x61661,x61662)+~E(f317(a95,x61661),f317(a95,x61662))+~P1(f317(f317(f224(a1),f2(a1)),x61662))+~P1(f317(f317(f224(a1),f2(a1)),x61661))
% 184.03/183.91 [6367]~P93(x63672)+~P113(x63672)+~P1(f317(f317(f224(x63672),f2(x63672)),f317(f94(x63672),x63671)))+P1(f317(f317(f224(a1),a77),x63671))
% 184.03/183.91 [6368]~P93(x63682)+~P113(x63682)+~P1(f317(f317(f225(x63682),f2(x63682)),f317(f94(x63682),x63681)))+P1(f317(f317(f225(a1),a77),x63681))
% 184.03/183.91 [6373]~P113(x63731)+~P93(x63731)+P1(f317(f317(f224(x63731),f317(f94(x63731),x63732)),f2(x63731)))+~P1(f317(f317(f224(a1),x63732),a77))
% 184.03/183.91 [6374]~P113(x63741)+~P93(x63741)+P1(f317(f317(f225(x63741),f317(f94(x63741),x63742)),f2(x63741)))+~P1(f317(f317(f225(a1),x63742),a77))
% 184.03/183.91 [6700]~P93(x67002)+~P113(x67002)+~P1(f317(f317(f224(x67002),f317(f94(x67002),x67001)),f2(x67002)))+P1(f317(f317(f224(a1),x67001),a77))
% 184.03/183.91 [6701]~P93(x67012)+~P113(x67012)+~P1(f317(f317(f225(x67012),f317(f94(x67012),x67011)),f2(x67012)))+P1(f317(f317(f225(a1),x67011),a77))
% 184.03/183.91 [6795]~P113(x67951)+~P93(x67951)+E(f317(f70(x67951),f317(f94(x67951),x67952)),f317(f73(x67951),f317(f94(x67951),x67952)))+~P1(f317(f317(f225(x67951),f317(f94(x67951),x67952)),f2(x67951)))
% 184.03/183.91 [6814]E(f317(f94(a899),x68141),f317(f94(a899),x68142))+~E(f317(f94(a1),x68142),f2(a1))+~P1(f317(f317(f224(a1),f317(f94(a1),x68141)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x68141)))
% 184.03/183.91 [7702]~P107(x77022)+E(x77021,f178(f906(x77022,a895)))+~P1(f317(f28(x77022),x77021))+P1(f317(f317(f224(x77022),f14(x77022,f228(x77022),x77021)),f15(x77022,f223(x77022),x77021)))
% 184.03/183.91 [8022]~P39(x80222)+~P6(x80221)+P1(f317(f317(f319(a1),x80221),x80222))+~P1(f317(f317(f319(a899),f317(a95,x80221)),f317(f300(a1,a899,a95),x80222)))
% 184.03/183.91 [5931]~P141(x59312)+E(x59311,f2(a1))+E(f317(f73(x59312),f317(f93(x59312),f317(f73(a1),x59311))),f317(f93(x59312),x59311))+~P1(f317(f317(f225(a1),x59311),f2(a1)))
% 184.03/183.91 [6010]~P91(x60101)+~P93(x60101)+~P27(x60101,f317(f94(x60101),x60102))+P27(x60101,f317(f94(x60101),f317(f317(f74(a1),x60102),x60102)))
% 184.03/183.91 [6356]~P76(x63562)+E(x63561,f178(f906(x63562,a895)))+E(f17(x63562,f317(f300(x63562,x63562,f73(x63562)),x63561)),f317(f73(x63562),f16(x63562,x63561)))+~P1(f317(f28(x63562),x63561))
% 184.03/183.91 [6357]~P76(x63572)+E(x63571,f178(f906(x63572,a895)))+E(f16(x63572,f317(f300(x63572,x63572,f73(x63572)),x63571)),f317(f73(x63572),f17(x63572,x63571)))+~P1(f317(f28(x63572),x63571))
% 184.03/183.91 [6391]~P91(x63911)+~P93(x63911)+P27(x63911,f317(f94(x63911),x63912))+~P27(x63911,f317(f94(x63911),f317(f317(f74(a1),x63912),x63912)))
% 184.03/183.91 [6485]E(x64851,f2(a1))+E(f317(a46,f45(f317(f73(a1),x64851),f317(f73(a1),x64852))),f41(x64851,x64852))+P1(f317(f317(f224(a1),f2(a1)),x64852))+~P1(f317(f317(f224(a1),f2(a1)),x64851))
% 184.03/183.91 [8805]~P39(x88052)+~P39(x88051)+P1(f317(f317(f225(f906(a899,a895)),f317(f300(a1,a899,a95),x88051)),f317(f300(a1,a899,a95),x88052)))+~P1(f317(f317(f225(f906(a1,a895)),x88051),x88052))
% 184.03/183.91 [9036]~E(f713(x90362,x90361),f714(x90362,x90361))+~P1(f317(f127(x90361),f712(x90362,x90361)))+~P1(f317(f127(f900(x90361)),x90362))+P1(f317(f127(x90361),f317(f132(f900(x90361),f900(x90361),f124(x90361),f103(x90361)),x90362)))
% 184.03/183.91 [9122]~P39(x91222)+~P39(x91221)+~P1(f317(f317(f224(f906(a899,a895)),f317(f300(a1,a899,a95),x91221)),f317(f300(a1,a899,a95),x91222)))+P1(f317(f317(f224(f906(a1,a895)),x91221),x91222))
% 184.03/183.91 [9123]~P39(x91232)+~P39(x91231)+~P1(f317(f317(f225(f906(a899,a895)),f317(f300(a1,a899,a95),x91231)),f317(f300(a1,a899,a95),x91232)))+P1(f317(f317(f225(f906(a1,a895)),x91231),x91232))
% 184.03/183.91 [9129]~E(f713(x91292,x91291),f714(x91292,x91291))+~P1(f317(f127(f900(x91291)),x91292))+P1(f317(f127(x91291),f317(f132(f900(x91291),f900(x91291),f124(x91291),f103(x91291)),x91292)))+P1(f317(f317(f319(f900(x91291)),f712(x91292,x91291)),f317(f162(f900(x91291)),x91292)))
% 184.03/183.91 [9170]~P1(f317(f127(x91701),f712(x91702,x91701)))+~P1(f317(f127(f900(x91701)),x91702))+P1(f317(f127(x91701),f317(f132(f900(x91701),f900(x91701),f124(x91701),f103(x91701)),x91702)))+P1(f317(f317(f319(f900(x91701)),f714(x91702,x91701)),f317(f162(f900(x91701)),x91702)))
% 184.03/183.91 [9171]~P1(f317(f127(x91711),f712(x91712,x91711)))+~P1(f317(f127(f900(x91711)),x91712))+P1(f317(f127(x91711),f317(f132(f900(x91711),f900(x91711),f124(x91711),f103(x91711)),x91712)))+P1(f317(f317(f319(f900(x91711)),f713(x91712,x91711)),f317(f162(f900(x91711)),x91712)))
% 184.03/183.91 [9248]~P1(f317(f127(f900(x92481)),x92482))+P1(f317(f127(x92481),f317(f132(f900(x92481),f900(x92481),f124(x92481),f103(x92481)),x92482)))+P1(f317(f317(f319(f900(x92481)),f714(x92482,x92481)),f317(f162(f900(x92481)),x92482)))+P1(f317(f317(f319(f900(x92481)),f712(x92482,x92481)),f317(f162(f900(x92481)),x92482)))
% 184.03/183.91 [9249]~P1(f317(f127(f900(x92491)),x92492))+P1(f317(f127(x92491),f317(f132(f900(x92491),f900(x92491),f124(x92491),f103(x92491)),x92492)))+P1(f317(f317(f319(f900(x92491)),f713(x92492,x92491)),f317(f162(f900(x92491)),x92492)))+P1(f317(f317(f319(f900(x92491)),f712(x92492,x92491)),f317(f162(f900(x92491)),x92492)))
% 184.03/183.91 [9263]~E(f317(f317(f92(f906(x92631,a895)),f317(f162(x92631),f714(x92632,x92631))),f317(f162(x92631),f713(x92632,x92631))),f178(f906(x92631,a895)))+~P1(f317(f127(x92631),f712(x92632,x92631)))+~P1(f317(f127(f900(x92631)),x92632))+P1(f317(f127(x92631),f317(f132(f900(x92631),f900(x92631),f124(x92631),f103(x92631)),x92632)))
% 184.03/183.91 [9326]~E(f317(f317(f92(f906(x93261,a895)),f317(f162(x93261),f714(x93262,x93261))),f317(f162(x93261),f713(x93262,x93261))),f178(f906(x93261,a895)))+~P1(f317(f127(f900(x93261)),x93262))+P1(f317(f127(x93261),f317(f132(f900(x93261),f900(x93261),f124(x93261),f103(x93261)),x93262)))+P1(f317(f317(f319(f900(x93261)),f712(x93262,x93261)),f317(f162(f900(x93261)),x93262)))
% 184.03/183.91 [9614]E(x96141,f2(a1))+E(x96142,f2(a1))+E(f317(f317(f80(a1,f905(a1,a1)),f317(f317(a207,x96142),x96141)),f317(f317(f20(a1,a1,f905(a1,a1)),f317(f317(f10(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f30(a1),x96142))),f317(f30(a1),x96141))),f205(x96142,x96141))+P1(f317(f317(f225(a1),x96141),f2(a1)))
% 184.03/183.91 [8348]~P93(x83482)+~P113(x83482)+~P1(f317(f317(f224(x83482),f317(f94(x83482),x83481)),f72(x83482)))+P1(f317(f317(f224(a1),x83481),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 184.03/183.91 [8349]~P93(x83492)+~P113(x83492)+~P1(f317(f317(f225(x83492),f317(f94(x83492),x83491)),f72(x83492)))+P1(f317(f317(f225(a1),x83491),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 184.03/183.91 [8621]~P113(x86211)+~P93(x86211)+P1(f317(f317(f224(x86211),f317(f94(x86211),x86212)),f72(x86211)))+~P1(f317(f317(f224(a1),x86212),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 184.03/183.91 [8622]~P113(x86221)+~P93(x86221)+P1(f317(f317(f225(x86221),f317(f94(x86221),x86222)),f72(x86221)))+~P1(f317(f317(f225(a1),x86222),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 184.03/183.91 [8833]~P93(x88332)+~P113(x88332)+~P1(f317(f317(f224(x88332),f72(x88332)),f317(f94(x88332),x88331)))+P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x88331))
% 184.03/183.91 [8834]~P93(x88342)+~P113(x88342)+~P1(f317(f317(f225(x88342),f72(x88342)),f317(f94(x88342),x88341)))+P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x88341))
% 184.03/183.91 [9208]~P113(x92081)+~P93(x92081)+P1(f317(f317(f224(x92081),f72(x92081)),f317(f94(x92081),x92082)))+~P1(f317(f317(f224(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x92082))
% 184.03/183.91 [9209]~P113(x92091)+~P93(x92091)+P1(f317(f317(f225(x92091),f72(x92091)),f317(f94(x92091),x92092)))+~P1(f317(f317(f225(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x92092))
% 184.03/183.91 [9744]~P142(x97442)+E(x97441,f72(x97442))+E(x97441,f317(f73(x97442),f72(x97442)))+~E(f317(f317(f234(x97442),x97441),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x97442))
% 184.03/183.91 [10012]~P63(x100121)+~P93(x100121)+~P1(f317(f317(f225(x100121),f2(x100121)),x100122))+P1(f317(f317(f225(x100121),f2(x100121)),f317(f317(f281(x100121),x100122),f317(f94(x100121),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.91 [10064]~P63(x100641)+~P93(x100641)+P1(f317(f317(f225(x100641),f2(x100641)),x100642))+~P1(f317(f317(f225(x100641),f2(x100641)),f317(f317(f281(x100641),x100642),f317(f94(x100641),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.91 [10358]~P141(x103582)+E(x103581,f2(a1))+P1(f317(f317(f225(a1),x103581),f2(a1)))+E(f317(f317(f247(a1,a1,x103582),f317(f317(f9(a1,f906(a1,f906(x103582,x103582)),f906(a1,x103582)),f317(f317(f10(f906(f906(x103582,x103582),x103582),f906(f906(a1,f906(x103582,x103582)),f906(a1,x103582)),a1),f10(f906(x103582,x103582),x103582,a1)),f317(f317(f10(x103582,f906(f906(x103582,x103582),x103582),a1),f80(x103582,x103582)),f93(x103582)))),f317(f317(f9(a1,f906(x103582,x103582),f906(x103582,x103582)),f317(f317(f10(f906(x103582,f906(x103582,x103582)),f906(f906(x103582,x103582),f906(x103582,x103582)),a1),f20(x103582,x103582,x103582)),f317(f317(f9(a1,f906(x103582,x103582),f906(x103582,f906(x103582,x103582))),f317(f317(f10(f906(x103582,f906(x103582,x103582)),f906(f906(x103582,x103582),f906(x103582,f906(x103582,x103582))),a1),f10(x103582,f906(x103582,x103582),x103582)),f317(f317(f10(a895,f906(x103582,f906(x103582,x103582)),a1),f86(x103582)),f317(f317(f9(a1,a1,a895),a314),f2(a1))))),f317(f317(f20(x103582,x103582,x103582),f74(x103582)),f7(x103582))))),f317(f317(f9(x103582,x103582,x103582),f317(f317(f10(x103582,f906(x103582,x103582),x103582),f74(x103582)),f317(f317(f20(x103582,x103582,x103582),f74(x103582)),f7(x103582)))),f72(x103582))))),f41(x103581,f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f93(x103582),x103581))
% 184.03/183.91 [5394]~P37(x53941,x53943)+~P51(x53941,x53943)+~P52(x53941,x53942,x53943)+P8(x53941,x53942,x53943)
% 184.03/183.91 [4930]~P91(x49303)+~P93(x49303)+E(x49301,x49302)+~E(f317(f94(x49303),x49301),f317(f94(x49303),x49302))
% 184.03/183.91 [5404]~P49(x54041,x54042)+~P50(x54041,x54042)+P15(x54041,x54042)+~P1(f317(f317(x54042,x54043),x54043))
% 184.03/183.91 [5911]P15(x59112,x59111)+E(f317(x59111,f788(x59111)),f317(x59111,f790(x59111)))+P1(f317(f317(x59111,f788(x59111)),f790(x59111)))+~P1(f317(f317(x59111,x59113),x59113))
% 184.03/183.91 [6118]~P1(f317(x61181,x61182))+~P1(f317(x61181,x61183))+~P1(f317(f317(f224(a899),x61183),f804(x61182,x61181)))+P1(f317(x61181,f2(a899)))
% 184.03/183.91 [6185]P15(x61851,x61852)+P1(f317(f317(x61852,f788(x61852)),f788(x61852)))+P1(f317(f317(x61852,f788(x61852)),f790(x61852)))+~P1(f317(f317(x61852,x61853),x61853))
% 184.03/183.91 [6186]P15(x61861,x61862)+P1(f317(f317(x61862,f788(x61862)),f790(x61862)))+P1(f317(f317(x61862,f790(x61862)),f790(x61862)))+~P1(f317(f317(x61862,x61863),x61863))
% 184.03/183.91 [6550]P147(x65502,x65503,x65501)+E(x65501,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f841(x65501,x65503,x65502)))+P1(f317(f317(f225(a1),x65501),f2(a1)))
% 184.03/183.91 [6551]P148(x65512,x65513,x65511)+E(x65511,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f849(x65511,x65513,x65512)))+P1(f317(f317(f225(a1),x65511),f2(a1)))
% 184.03/183.91 [6680]P147(x66801,x66802,x66803)+~P1(f317(x66801,x66802))+P1(f317(f317(f224(a1),f2(a1)),f841(x66803,x66802,x66801)))+P1(f317(f317(f225(a1),x66803),f2(a1)))
% 184.03/183.91 [6706]P148(x67061,x67062,x67063)+P1(f317(f317(f224(a1),f2(a1)),f849(x67063,x67062,x67061)))+~P1(f317(x67061,f2(a1)))+P1(f317(f317(f225(a1),x67063),f2(a1)))
% 184.03/183.91 [6738]P147(x67382,x67383,x67381)+E(x67381,f2(a1))+~P1(f317(x67382,f841(x67381,x67383,x67382)))+P1(f317(f317(f225(a1),x67381),f2(a1)))
% 184.03/183.91 [6739]P148(x67392,x67393,x67391)+E(x67391,f2(a1))+~P1(f317(x67392,f850(x67391,x67393,x67392)))+P1(f317(f317(f225(a1),x67391),f2(a1)))
% 184.03/183.91 [6842]~P107(x68421)+~P5(x68421)+~P1(f317(f317(f225(x68421),x68422),f31(x68421,x68423)))+P1(f317(f317(f225(x68421),x68422),f382(x68423,x68422,x68421)))
% 184.03/183.91 [6852]P147(x68521,x68522,x68523)+~P1(f317(x68521,x68522))+~P1(f317(x68521,f841(x68523,x68522,x68521)))+P1(f317(f317(f225(a1),x68523),f2(a1)))
% 184.03/183.91 [6884]P148(x68841,x68842,x68843)+~P1(f317(x68841,f850(x68843,x68842,x68841)))+~P1(f317(x68841,f2(a1)))+P1(f317(f317(f225(a1),x68843),f2(a1)))
% 184.03/183.91 [7137]P147(x71372,x71373,x71371)+E(x71371,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f841(x71371,x71373,x71372)))+P1(f317(f317(f225(a1),x71371),f840(x71371,x71373,x71372)))
% 184.03/183.91 [7138]P148(x71382,x71383,x71381)+E(x71381,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f849(x71381,x71383,x71382)))+P1(f317(f317(f225(a1),x71381),f848(x71381,x71383,x71382)))
% 184.03/183.91 [7258]P147(x72581,x72582,x72583)+~P1(f317(x72581,x72582))+P1(f317(f317(f224(a1),f2(a1)),f841(x72583,x72582,x72581)))+P1(f317(f317(f225(a1),x72583),f840(x72583,x72582,x72581)))
% 184.03/183.91 [7279]P148(x72791,x72792,x72793)+P1(f317(f317(f224(a1),f2(a1)),f849(x72793,x72792,x72791)))+P1(f317(f317(f225(a1),x72793),f848(x72793,x72792,x72791)))+~P1(f317(x72791,f2(a1)))
% 184.03/183.91 [7310]P147(x73102,x73103,x73101)+E(x73101,f2(a1))+~P1(f317(x73102,f841(x73101,x73103,x73102)))+P1(f317(f317(f225(a1),x73101),f840(x73101,x73103,x73102)))
% 184.03/183.91 [7311]P148(x73112,x73113,x73111)+E(x73111,f2(a1))+~P1(f317(x73112,f850(x73111,x73113,x73112)))+P1(f317(f317(f225(a1),x73111),f848(x73111,x73113,x73112)))
% 184.03/183.91 [7355]P147(x73552,x73553,x73551)+E(x73551,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f841(x73551,x73553,x73552)))+~P1(f317(x73552,f840(x73551,x73553,x73552)))
% 184.03/183.91 [7356]P148(x73562,x73563,x73561)+E(x73561,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f849(x73561,x73563,x73562)))+~P1(f317(x73562,f851(x73561,x73563,x73562)))
% 184.03/183.91 [7453]P147(x74531,x74532,x74533)+~P1(f317(x74531,x74532))+~P1(f317(x74531,f841(x74533,x74532,x74531)))+P1(f317(f317(f225(a1),x74533),f840(x74533,x74532,x74531)))
% 184.03/183.91 [7468]P148(x74681,x74682,x74683)+~P1(f317(x74681,f850(x74683,x74682,x74681)))+P1(f317(f317(f225(a1),x74683),f848(x74683,x74682,x74681)))+~P1(f317(x74681,f2(a1)))
% 184.03/183.91 [7471]P147(x74711,x74712,x74713)+~P1(f317(x74711,x74712))+P1(f317(f317(f224(a1),f2(a1)),f841(x74713,x74712,x74711)))+~P1(f317(x74711,f840(x74713,x74712,x74711)))
% 184.03/183.91 [7488]P148(x74881,x74882,x74883)+P1(f317(f317(f224(a1),f2(a1)),f849(x74883,x74882,x74881)))+~P1(f317(x74881,f851(x74883,x74882,x74881)))+~P1(f317(x74881,f2(a1)))
% 184.03/183.91 [7511]P147(x75112,x75113,x75111)+E(x75111,f2(a1))+~P1(f317(x75112,f841(x75111,x75113,x75112)))+~P1(f317(x75112,f840(x75111,x75113,x75112)))
% 184.03/183.91 [7512]P148(x75122,x75123,x75121)+E(x75121,f2(a1))+~P1(f317(x75122,f850(x75121,x75123,x75122)))+~P1(f317(x75122,f851(x75121,x75123,x75122)))
% 184.03/183.91 [7596]P147(x75961,x75962,x75963)+~P1(f317(x75961,x75962))+~P1(f317(x75961,f841(x75963,x75962,x75961)))+~P1(f317(x75961,f840(x75963,x75962,x75961)))
% 184.03/183.91 [7614]P148(x76141,x76142,x76143)+~P1(f317(x76141,f850(x76143,x76142,x76141)))+~P1(f317(x76141,f851(x76143,x76142,x76141)))+~P1(f317(x76141,f2(a1)))
% 184.03/183.91 [7661]P147(x76612,x76613,x76611)+E(x76611,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f841(x76611,x76613,x76612)))+P1(f317(f317(f224(a1),f840(x76611,x76613,x76612)),f2(a1)))
% 184.03/183.91 [7662]P148(x76622,x76623,x76621)+E(x76621,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f849(x76621,x76623,x76622)))+P1(f317(f317(f224(a1),f848(x76621,x76623,x76622)),f2(a1)))
% 184.03/183.91 [7663]~P141(x76631)+~P1(f317(f317(f319(x76631),x76633),f100(x76631)))+~P1(f317(f317(f319(x76631),x76632),f100(x76631)))+P1(f317(f317(f319(x76631),f317(f317(f3(x76631),x76632),x76633)),f100(x76631)))
% 184.03/183.91 [7664]~P141(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)))
% 184.03/183.91 [7665]~P145(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)))
% 184.03/183.91 [7666]~P141(x76661)+~P1(f317(f317(f319(x76661),x76663),f100(x76661)))+~P1(f317(f317(f319(x76661),x76662),f100(x76661)))+P1(f317(f317(f319(x76661),f317(f317(f74(x76661),x76662),x76663)),f100(x76661)))
% 184.03/183.91 [7667]~P145(x76671)+~P1(f317(f317(f319(x76671),x76673),f176(x76671)))+~P1(f317(f317(f319(x76671),x76672),f176(x76671)))+P1(f317(f317(f319(x76671),f317(f317(f74(x76671),x76672),x76673)),f176(x76671)))
% 184.03/183.91 [7668]~P87(x76681)+~P1(f317(f317(f224(x76681),x76683),f2(x76681)))+~P1(f317(f317(f224(x76681),x76682),f2(x76681)))+P1(f317(f317(f224(x76681),f317(f317(f74(x76681),x76682),x76683)),f2(x76681)))
% 184.03/183.91 [7669]~P87(x76691)+~P1(f317(f317(f224(x76691),x76693),f2(x76691)))+~P1(f317(f317(f225(x76691),x76692),f2(x76691)))+P1(f317(f317(f225(x76691),f317(f317(f74(x76691),x76692),x76693)),f2(x76691)))
% 184.03/183.91 [7670]~P87(x76701)+~P1(f317(f317(f224(x76701),x76702),f2(x76701)))+~P1(f317(f317(f225(x76701),x76703),f2(x76701)))+P1(f317(f317(f225(x76701),f317(f317(f74(x76701),x76702),x76703)),f2(x76701)))
% 184.03/183.91 [7671]~P87(x76711)+~P1(f317(f317(f225(x76711),x76713),f2(x76711)))+~P1(f317(f317(f225(x76711),x76712),f2(x76711)))+P1(f317(f317(f225(x76711),f317(f317(f74(x76711),x76712),x76713)),f2(x76711)))
% 184.03/183.91 [7698]P147(x76983,x76982,x76981)+E(x76981,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76981),f844(x76981,x76982,x76983))),f841(x76981,x76982,x76983)),x76982)+P1(f317(f317(f225(a1),x76981),f2(a1)))
% 184.03/183.91 [7699]P148(x76993,x76992,x76991)+E(x76991,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76991),f850(x76991,x76992,x76993))),f849(x76991,x76992,x76993)),x76992)+P1(f317(f317(f225(a1),x76991),f2(a1)))
% 184.03/183.91 [7782]P147(x77821,x77822,x77823)+~P1(f317(x77821,x77822))+P1(f317(f317(f224(a1),f2(a1)),f841(x77823,x77822,x77821)))+P1(f317(f317(f224(a1),f840(x77823,x77822,x77821)),f2(a1)))
% 184.03/183.91 [7813]P148(x78131,x78132,x78133)+P1(f317(f317(f224(a1),f2(a1)),f849(x78133,x78132,x78131)))+~P1(f317(x78131,f2(a1)))+P1(f317(f317(f224(a1),f848(x78133,x78132,x78131)),f2(a1)))
% 184.03/183.91 [7822]P147(x78223,x78222,x78221)+~P1(f317(x78223,x78222))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78221),f844(x78221,x78222,x78223))),f841(x78221,x78222,x78223)),x78222)+P1(f317(f317(f225(a1),x78221),f2(a1)))
% 184.03/183.91 [7828]P147(x78282,x78283,x78281)+E(x78281,f2(a1))+~P1(f317(x78282,f841(x78281,x78283,x78282)))+P1(f317(f317(f224(a1),f840(x78281,x78283,x78282)),f2(a1)))
% 184.03/183.91 [7829]P148(x78292,x78293,x78291)+E(x78291,f2(a1))+~P1(f317(x78292,f850(x78291,x78293,x78292)))+P1(f317(f317(f224(a1),f848(x78291,x78293,x78292)),f2(a1)))
% 184.03/183.91 [7834]P148(x78343,x78342,x78341)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78341),f850(x78341,x78342,x78343))),f849(x78341,x78342,x78343)),x78342)+~P1(f317(x78343,f2(a1)))+P1(f317(f317(f225(a1),x78341),f2(a1)))
% 184.03/183.91 [7891]P147(x78911,x78912,x78913)+~P1(f317(x78911,x78912))+~P1(f317(x78911,f841(x78913,x78912,x78911)))+P1(f317(f317(f224(a1),f840(x78913,x78912,x78911)),f2(a1)))
% 184.03/183.91 [7895]P148(x78951,x78952,x78953)+~P1(f317(x78951,f850(x78953,x78952,x78951)))+~P1(f317(x78951,f2(a1)))+P1(f317(f317(f224(a1),f848(x78953,x78952,x78951)),f2(a1)))
% 184.03/183.91 [7963]~P128(x79631)+~P1(f317(f317(f224(x79631),f317(f317(f75(x79631),x79633),x79632)),f2(x79631)))+P1(f317(f317(f224(x79631),x79632),f2(x79631)))+P1(f317(f317(f224(x79631),x79633),f2(x79631)))
% 184.03/183.91 [7964]~P63(x79641)+~P1(f317(f317(f224(x79641),f317(f317(f281(x79641),x79643),x79642)),f2(x79641)))+P1(f317(f317(f224(x79641),x79642),f2(x79641)))+P1(f317(f317(f224(x79641),x79643),f2(x79641)))
% 184.03/183.91 [7965]~P63(x79651)+~P1(f317(f317(f225(x79651),f317(f317(f281(x79651),x79653),x79652)),f2(x79651)))+P1(f317(f317(f225(x79651),x79652),f2(x79651)))+P1(f317(f317(f225(x79651),x79653),f2(x79651)))
% 184.03/183.91 [8078]P147(x80783,x80782,x80781)+E(x80781,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80781),f844(x80781,x80782,x80783))),f841(x80781,x80782,x80783)),x80782)+P1(f317(f317(f225(a1),x80781),f840(x80781,x80782,x80783)))
% 184.03/183.91 [8079]P148(x80793,x80792,x80791)+E(x80791,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80791),f850(x80791,x80792,x80793))),f849(x80791,x80792,x80793)),x80792)+P1(f317(f317(f225(a1),x80791),f848(x80791,x80792,x80793)))
% 184.03/183.91 [8091]P147(x80913,x80912,x80911)+E(x80911,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80911),f846(x80911,x80912,x80913))),f840(x80911,x80912,x80913)),x80912)+P1(f317(f317(f224(a1),f2(a1)),f841(x80911,x80912,x80913)))
% 184.03/183.91 [8092]P148(x80923,x80922,x80921)+E(x80921,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80921),f851(x80921,x80922,x80923))),f848(x80921,x80922,x80923)),x80922)+P1(f317(f317(f224(a1),f2(a1)),f849(x80921,x80922,x80923)))
% 184.03/183.91 [8134]P147(x81343,x81342,x81341)+~P1(f317(x81343,x81342))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81341),f844(x81341,x81342,x81343))),f841(x81341,x81342,x81343)),x81342)+P1(f317(f317(f225(a1),x81341),f840(x81341,x81342,x81343)))
% 184.03/183.91 [8143]P148(x81433,x81432,x81431)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81431),f850(x81431,x81432,x81433))),f849(x81431,x81432,x81433)),x81432)+P1(f317(f317(f225(a1),x81431),f848(x81431,x81432,x81433)))+~P1(f317(x81433,f2(a1)))
% 184.03/183.91 [8149]P147(x81493,x81492,x81491)+~P1(f317(x81493,x81492))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81491),f846(x81491,x81492,x81493))),f840(x81491,x81492,x81493)),x81492)+P1(f317(f317(f224(a1),f2(a1)),f841(x81491,x81492,x81493)))
% 184.03/183.91 [8155]P148(x81553,x81552,x81551)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81551),f851(x81551,x81552,x81553))),f848(x81551,x81552,x81553)),x81552)+P1(f317(f317(f224(a1),f2(a1)),f849(x81551,x81552,x81553)))+~P1(f317(x81553,f2(a1)))
% 184.03/183.91 [8166]P147(x81663,x81662,x81661)+E(x81661,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81661),f844(x81661,x81662,x81663))),f841(x81661,x81662,x81663)),x81662)+~P1(f317(x81663,f840(x81661,x81662,x81663)))
% 184.03/183.91 [8167]P148(x81673,x81672,x81671)+E(x81671,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81671),f850(x81671,x81672,x81673))),f849(x81671,x81672,x81673)),x81672)+~P1(f317(x81673,f851(x81671,x81672,x81673)))
% 184.03/183.91 [8168]P147(x81683,x81682,x81681)+E(x81681,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81681),f846(x81681,x81682,x81683))),f840(x81681,x81682,x81683)),x81682)+~P1(f317(x81683,f841(x81681,x81682,x81683)))
% 184.03/183.91 [8169]P148(x81693,x81692,x81691)+E(x81691,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81691),f851(x81691,x81692,x81693))),f848(x81691,x81692,x81693)),x81692)+~P1(f317(x81693,f850(x81691,x81692,x81693)))
% 184.03/183.91 [8228]P147(x82283,x82282,x82281)+~P1(f317(x82283,x82282))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82281),f844(x82281,x82282,x82283))),f841(x82281,x82282,x82283)),x82282)+~P1(f317(x82283,f840(x82281,x82282,x82283)))
% 184.03/183.91 [8229]P147(x82293,x82292,x82291)+~P1(f317(x82293,x82292))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82291),f846(x82291,x82292,x82293))),f840(x82291,x82292,x82293)),x82292)+~P1(f317(x82293,f841(x82291,x82292,x82293)))
% 184.03/183.91 [8242]P148(x82423,x82422,x82421)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82421),f850(x82421,x82422,x82423))),f849(x82421,x82422,x82423)),x82422)+~P1(f317(x82423,f851(x82421,x82422,x82423)))+~P1(f317(x82423,f2(a1)))
% 184.03/183.91 [8243]P148(x82433,x82432,x82431)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82431),f851(x82431,x82432,x82433))),f848(x82431,x82432,x82433)),x82432)+~P1(f317(x82433,f850(x82431,x82432,x82433)))+~P1(f317(x82433,f2(a1)))
% 184.03/183.91 [8341]P147(x83413,x83412,x83411)+E(x83411,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83411),f844(x83411,x83412,x83413))),f841(x83411,x83412,x83413)),x83412)+P1(f317(f317(f224(a1),f840(x83411,x83412,x83413)),f2(a1)))
% 184.03/183.91 [8342]P148(x83423,x83422,x83421)+E(x83421,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83421),f850(x83421,x83422,x83423))),f849(x83421,x83422,x83423)),x83422)+P1(f317(f317(f224(a1),f848(x83421,x83422,x83423)),f2(a1)))
% 184.03/183.91 [8382]P147(x83823,x83822,x83821)+~P1(f317(x83823,x83822))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83821),f844(x83821,x83822,x83823))),f841(x83821,x83822,x83823)),x83822)+P1(f317(f317(f224(a1),f840(x83821,x83822,x83823)),f2(a1)))
% 184.03/183.91 [8387]P148(x83873,x83872,x83871)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83871),f850(x83871,x83872,x83873))),f849(x83871,x83872,x83873)),x83872)+~P1(f317(x83873,f2(a1)))+P1(f317(f317(f224(a1),f848(x83871,x83872,x83873)),f2(a1)))
% 184.03/183.91 [8523]P147(x85233,x85232,x85231)+E(x85231,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85231),f846(x85231,x85232,x85233))),f840(x85231,x85232,x85233)),x85232)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85231),f844(x85231,x85232,x85233))),f841(x85231,x85232,x85233)),x85232)
% 184.03/183.91 [8524]P148(x85243,x85242,x85241)+E(x85241,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85241),f851(x85241,x85242,x85243))),f848(x85241,x85242,x85243)),x85242)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85241),f850(x85241,x85242,x85243))),f849(x85241,x85242,x85243)),x85242)
% 184.03/183.91 [8544]P147(x85443,x85442,x85441)+~P1(f317(x85443,x85442))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85441),f846(x85441,x85442,x85443))),f840(x85441,x85442,x85443)),x85442)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85441),f844(x85441,x85442,x85443))),f841(x85441,x85442,x85443)),x85442)
% 184.03/183.91 [8555]P148(x85553,x85552,x85551)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85551),f851(x85551,x85552,x85553))),f848(x85551,x85552,x85553)),x85552)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85551),f850(x85551,x85552,x85553))),f849(x85551,x85552,x85553)),x85552)+~P1(f317(x85553,f2(a1)))
% 184.03/183.91 [9216]~P128(x92161)+~E(x92163,f2(x92161))+~E(x92162,f2(x92161))+P1(f317(f317(f224(x92161),f317(f317(f74(x92161),f317(f317(f75(x92161),x92162),x92162)),f317(f317(f75(x92161),x92163),x92163))),f2(x92161)))
% 184.03/183.91 [10299]~P113(x102991)+~E(x102993,f2(x102991))+~E(x102992,f2(x102991))+P1(f317(f317(f224(x102991),f317(f317(f74(x102991),f317(f317(f234(x102991),x102992),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102991),x102993),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x102991)))
% 184.03/183.91 [4878]~E(x48783,x48781)+~P124(x48782)+E(x48781,f2(x48782))+E(f317(f317(f281(x48782),x48783),x48781),f72(x48782))
% 184.03/183.91 [4931]~P99(x49311)+~E(x49313,f178(x49311))+~E(x49312,f178(x49311))+E(f317(f317(f91(x49311),x49312),x49313),f178(x49311))
% 184.03/183.91 [4932]~P102(x49321)+~E(x49323,f232(x49321))+~E(x49322,f232(x49321))+E(f317(f317(f92(x49321),x49322),x49323),f232(x49321))
% 184.03/183.91 [5029]~P124(x50293)+E(x50291,x50292)+E(x50292,f2(x50293))+~E(f317(f317(f281(x50293),x50291),x50292),f72(x50293))
% 184.03/183.91 [5046]~P140(x50462)+E(x50461,f2(x50462))+E(x50463,f2(x50462))+~E(f317(f317(f75(x50462),x50463),x50461),f2(x50462))
% 184.03/183.91 [5048]~P134(x50482)+E(x50481,f2(x50482))+E(x50483,f2(x50482))+~E(f317(f317(f75(x50482),x50483),x50481),f2(x50482))
% 184.03/183.91 [5423]~P122(x54233)+E(x54231,x54232)+E(x54231,f317(f73(x54233),x54232))+~E(f317(f317(f75(x54233),x54231),x54231),f317(f317(f75(x54233),x54232),x54232))
% 184.03/183.91 [5462]~P95(x54621)+E(f317(f73(x54621),x54622),x54623)+~E(f317(f317(f91(x54621),x54622),x54623),f232(x54621))+~E(f317(f317(f92(x54621),x54622),x54623),f178(x54621))
% 184.03/183.91 [5543]~P113(x55433)+E(x55431,x55432)+P1(f317(f317(f225(x55433),x55432),x55431))+P1(f317(f317(f225(x55433),x55431),x55432))
% 184.03/183.91 [5544]~P107(x55443)+E(x55441,x55442)+P1(f317(f317(f225(x55443),x55442),x55441))+P1(f317(f317(f225(x55443),x55441),x55442))
% 184.03/183.91 [5545]~E(x55452,x55453)+~P107(x55451)+P1(f317(f317(f225(x55451),x55452),x55453))+P1(f317(f317(f224(x55451),x55452),x55453))
% 184.03/183.91 [5806]~P109(x58063)+E(x58061,x58062)+~P1(f317(f317(f224(x58063),x58062),x58061))+P1(f317(f317(f225(x58063),x58062),x58061))
% 184.03/183.91 [5808]~P107(x58083)+E(x58081,x58082)+~P1(f317(f317(f224(x58083),x58081),x58082))+P1(f317(f317(f225(x58083),x58081),x58082))
% 184.03/183.91 [5814]~P109(x58143)+E(x58141,x58142)+~P1(f317(f317(f224(x58143),x58141),x58142))+P1(f317(f317(f225(x58143),x58141),x58142))
% 184.03/183.91 [5928]P147(x59281,x59282,x59283)+~P1(f317(x59281,x59282))+P1(f317(f317(f225(a1),x59283),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59283))
% 184.03/183.91 [5982]P148(x59821,x59822,x59823)+~P1(f317(x59821,f2(a1)))+P1(f317(f317(f225(a1),x59823),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59823))
% 184.03/183.91 [5987]~P98(x59871)+E(f317(f317(f91(x59871),x59872),f13(x59871,x59873)),x59872)+~P1(f317(f28(x59871),x59873))+~P1(f317(f317(f319(x59871),x59872),x59873))
% 184.03/183.91 [5988]~P98(x59881)+E(f317(f317(f92(x59881),x59882),f12(x59881,x59883)),x59882)+~P1(f317(f28(x59881),x59883))+~P1(f317(f317(f319(x59881),x59882),x59883))
% 184.03/183.91 [6027]~P107(x60271)+E(f317(f317(f228(x60271),x60272),f16(x60271,x60273)),f16(x60271,x60273))+~P1(f317(f28(x60271),x60273))+~P1(f317(f317(f319(x60271),x60272),x60273))
% 184.03/183.91 [6028]~P98(x60281)+E(f317(f317(f91(x60281),x60282),f12(x60281,x60283)),f12(x60281,x60283))+~P1(f317(f28(x60281),x60283))+~P1(f317(f317(f319(x60281),x60282),x60283))
% 184.03/183.91 [6029]~P107(x60291)+E(f317(f317(f223(x60291),x60292),f17(x60291,x60293)),f17(x60291,x60293))+~P1(f317(f28(x60291),x60293))+~P1(f317(f317(f319(x60291),x60292),x60293))
% 184.03/183.91 [6030]~P98(x60301)+E(f317(f317(f92(x60301),x60302),f13(x60301,x60303)),f13(x60301,x60303))+~P1(f317(f28(x60301),x60303))+~P1(f317(f317(f319(x60301),x60302),x60303))
% 184.03/183.91 [6069]E(x60691,x60692)+~P109(x60693)+~P1(f317(f317(f224(x60693),x60692),x60691))+~P1(f317(f317(f224(x60693),x60691),x60692))
% 184.03/183.91 [6214]~P106(x62141)+P1(f317(f317(f225(x62141),x62143),x62142))+~P1(f317(f317(f224(x62141),x62143),x62142))+P1(f317(f317(f224(x62141),x62142),x62143))
% 184.03/183.91 [6242]~P107(x62421)+~P1(f317(f28(x62421),x62423))+P1(f317(f317(f224(x62421),x62422),f17(x62421,x62423)))+~P1(f317(f317(f319(x62421),x62422),x62423))
% 184.03/183.91 [6290]~P107(x62901)+E(f317(f317(f228(x62901),x62902),f15(x62901,f223(x62901),x62903)),x62902)+~P1(f317(f28(x62901),x62903))+~P1(f317(f317(f319(x62901),x62902),x62903))
% 184.03/183.91 [6291]~P107(x62911)+E(f317(f317(f223(x62911),x62912),f14(x62911,f228(x62911),x62913)),x62912)+~P1(f317(f28(x62911),x62913))+~P1(f317(f317(f319(x62911),x62912),x62913))
% 184.03/183.91 [6437]E(x64371,x64372)+~E(f317(f317(f3(a899),x64371),x64373),f317(f317(f3(a899),x64372),x64373))+~P1(f317(f317(f224(a899),x64373),x64371))+~P1(f317(f317(f224(a899),x64373),x64372))
% 184.03/183.91 [6464]~P107(x64641)+~P1(f317(f28(x64641),x64642))+~P1(f317(f317(f319(x64641),x64643),x64642))+P1(f317(f317(f224(x64641),f16(x64641,x64642)),x64643))
% 184.03/183.91 [6529]P147(x65292,x65293,x65291)+E(x65291,f2(a1))+P1(f317(f317(f225(a1),x65291),f840(x65291,x65293,x65292)))+P1(f317(f317(f225(a1),f2(a1)),x65291))
% 184.03/183.91 [6530]P148(x65302,x65303,x65301)+E(x65301,f2(a1))+P1(f317(f317(f225(a1),x65301),f848(x65301,x65303,x65302)))+P1(f317(f317(f225(a1),f2(a1)),x65301))
% 184.03/183.91 [6531]~P107(x65311)+E(f317(f317(f228(x65311),x65312),f14(x65311,f228(x65311),x65313)),f14(x65311,f228(x65311),x65313))+~P1(f317(f28(x65311),x65313))+~P1(f317(f317(f319(x65311),x65312),x65313))
% 184.03/183.91 [6532]~P107(x65321)+E(f317(f317(f223(x65321),x65322),f15(x65321,f223(x65321),x65323)),f15(x65321,f223(x65321),x65323))+~P1(f317(f28(x65321),x65323))+~P1(f317(f317(f319(x65321),x65322),x65323))
% 184.03/183.91 [6537]~P1(f317(x65371,x65372))+P1(f317(x65371,f405(x65372,x65371,x65373)))+P1(f317(x65371,f2(a899)))+~P1(f317(f317(f225(a899),x65372),x65373))
% 184.03/183.91 [6598]~P1(f317(x65981,x65982))+~P1(f317(f28(x65983),x65982))+P1(f317(x65981,f406(x65981,x65982,x65983)))+P1(f317(x65981,f178(f906(x65983,a895))))
% 184.03/183.91 [6611]~P113(x66111)+~P93(x66111)+P1(f317(f317(f224(x66111),f317(f94(x66111),x66112)),f317(f94(x66111),x66113)))+~P1(f317(f317(f224(a1),x66112),x66113))
% 184.03/183.91 [6612]~P113(x66121)+~P93(x66121)+P1(f317(f317(f225(x66121),f317(f94(x66121),x66122)),f317(f94(x66121),x66123)))+~P1(f317(f317(f225(a1),x66122),x66123))
% 184.03/183.91 [6615]~P1(f317(x66151,x66153))+~P1(f317(f28(x66152),x66153))+P1(f317(f28(x66152),f406(x66151,x66153,x66152)))+P1(f317(x66151,f178(f906(x66152,a895))))
% 184.03/183.91 [6649]P147(x66491,x66492,x66493)+~P1(f317(x66491,x66492))+P1(f317(f317(f225(a1),x66493),f840(x66493,x66492,x66491)))+P1(f317(f317(f225(a1),f2(a1)),x66493))
% 184.03/183.91 [6687]P148(x66871,x66872,x66873)+P1(f317(f317(f225(a1),x66873),f848(x66873,x66872,x66871)))+~P1(f317(x66871,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x66873))
% 184.03/183.91 [6717]~P108(x67171)+~P92(x67171)+E(f317(f317(f228(x67171),f317(f94(x67171),x67172)),f317(f94(x67171),x67173)),f317(f94(x67171),x67173))+P1(f317(f317(f224(x67171),f317(f94(x67171),x67172)),f317(f94(x67171),x67173)))
% 184.03/183.91 [6718]~P108(x67181)+~P92(x67181)+E(f317(f317(f223(x67181),f317(f94(x67181),x67182)),f317(f94(x67181),x67183)),f317(f94(x67181),x67182))+P1(f317(f317(f224(x67181),f317(f94(x67181),x67182)),f317(f94(x67181),x67183)))
% 184.03/183.91 [6778]P147(x67782,x67783,x67781)+E(x67781,f2(a1))+~P1(f317(x67782,f840(x67781,x67783,x67782)))+P1(f317(f317(f225(a1),f2(a1)),x67781))
% 184.03/183.91 [6779]P148(x67792,x67793,x67791)+E(x67791,f2(a1))+~P1(f317(x67792,f851(x67791,x67793,x67792)))+P1(f317(f317(f225(a1),f2(a1)),x67791))
% 184.03/183.91 [6783]P1(f317(x67831,x67832))+~P1(f317(f28(x67833),x67832))+P1(f317(x67831,f876(x67831,x67832,x67833)))+~P1(f317(x67831,f178(f906(x67833,a895))))
% 184.03/183.91 [6805]P1(f317(x68051,x68052))+P1(f317(f28(x68053),f876(x68051,x68052,x68053)))+~P1(f317(f28(x68053),x68052))+~P1(f317(x68051,f178(f906(x68053,a895))))
% 184.03/183.91 [6873]P147(x68731,x68732,x68733)+~P1(f317(x68731,x68732))+~P1(f317(x68731,f840(x68733,x68732,x68731)))+P1(f317(f317(f225(a1),f2(a1)),x68733))
% 184.03/183.91 [6903]P148(x69031,x69032,x69033)+~P1(f317(x69031,f851(x69033,x69032,x69031)))+~P1(f317(x69031,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x69033))
% 184.03/183.91 [7013]~P93(x70133)+~P113(x70133)+~P1(f317(f317(f224(x70133),f317(f94(x70133),x70131)),f317(f94(x70133),x70132)))+P1(f317(f317(f224(a1),x70131),x70132))
% 184.03/183.91 [7014]~P93(x70143)+~P113(x70143)+~P1(f317(f317(f225(x70143),f317(f94(x70143),x70141)),f317(f94(x70143),x70142)))+P1(f317(f317(f225(a1),x70141),x70142))
% 184.03/183.91 [7042]~P107(x70421)+~P13(x70421,x70423)+P13(x70421,f317(f317(f141(x70421),x70422),x70423))+~P1(f317(f317(f224(x70421),x70422),f693(x70423,x70422,x70421)))
% 184.03/183.91 [7043]~P107(x70431)+~P13(x70431,x70433)+P13(x70431,f317(f317(f141(x70431),x70432),x70433))+~P1(f317(f317(f224(x70431),x70432),f695(x70433,x70432,x70431)))
% 184.03/183.91 [7044]~P107(x70441)+~P13(x70441,x70443)+P13(x70441,f317(f317(f141(x70441),x70442),x70443))+~P1(f317(f317(f224(x70441),x70442),f735(x70442,x70443,x70441)))
% 184.03/183.91 [7131]P147(x71312,x71313,x71311)+E(x71311,f2(a1))+P1(f317(f317(f225(a1),x71311),f2(a1)))+P1(f317(f317(f225(a1),f841(x71311,x71313,x71312)),x71311))
% 184.03/183.91 [7132]P148(x71322,x71323,x71321)+E(x71321,f2(a1))+P1(f317(f317(f225(a1),x71321),f2(a1)))+P1(f317(f317(f225(a1),f849(x71321,x71323,x71322)),x71321))
% 184.03/183.91 [7168]P147(x71682,x71683,x71681)+E(x71681,f2(a1))+P1(f317(f317(f224(a1),f840(x71681,x71683,x71682)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71681))
% 184.03/183.91 [7169]P148(x71692,x71693,x71691)+E(x71691,f2(a1))+P1(f317(f317(f224(a1),f848(x71691,x71693,x71692)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71691))
% 184.03/183.91 [7194]~P107(x71941)+~P13(x71941,x71943)+E(f317(f317(f138(x71941,x71941,f7(x71941)),x71942),f160(x71941,x71942,x71943)),x71943)+~P1(f317(f317(f319(x71941),x71942),f317(f162(x71941),x71943)))
% 184.03/183.91 [7241]P147(x72411,x72412,x72413)+~P1(f317(x72411,x72412))+P1(f317(f317(f225(a1),x72413),f2(a1)))+P1(f317(f317(f225(a1),f841(x72413,x72412,x72411)),x72413))
% 184.03/183.91 [7247]~P108(x72471)+~P92(x72471)+E(f317(f317(f228(x72471),f317(f94(x72471),x72472)),f317(f94(x72471),x72473)),f317(f94(x72471),x72472))+~P1(f317(f317(f224(x72471),f317(f94(x72471),x72472)),f317(f94(x72471),x72473)))
% 184.03/183.91 [7248]~P108(x72481)+~P92(x72481)+E(f317(f317(f223(x72481),f317(f94(x72481),x72482)),f317(f94(x72481),x72483)),f317(f94(x72481),x72483))+~P1(f317(f317(f224(x72481),f317(f94(x72481),x72482)),f317(f94(x72481),x72483)))
% 184.03/183.91 [7262]P148(x72621,x72622,x72623)+~P1(f317(x72621,f2(a1)))+P1(f317(f317(f225(a1),x72623),f2(a1)))+P1(f317(f317(f225(a1),f849(x72623,x72622,x72621)),x72623))
% 184.03/183.91 [7272]P147(x72721,x72722,x72723)+~P1(f317(x72721,x72722))+P1(f317(f317(f224(a1),f840(x72723,x72722,x72721)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72723))
% 184.03/183.91 [7296]P148(x72961,x72962,x72963)+~P1(f317(x72961,f2(a1)))+P1(f317(f317(f224(a1),f848(x72963,x72962,x72961)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72963))
% 184.03/183.91 [7322]~P1(f317(x73221,x73222))+P1(f317(x73221,f2(a899)))+~P1(f317(f317(f225(a899),x73222),x73223))+P1(f317(f317(f225(a899),f405(x73222,x73221,x73223)),x73223))
% 184.03/183.91 [7339]~P107(x73391)+~P13(x73391,x73393)+P13(x73391,f317(f317(f141(x73391),x73392),x73393))+P1(f317(f317(f319(x73391),f693(x73393,x73392,x73391)),f317(f162(x73391),x73393)))
% 184.03/183.91 [7340]~P107(x73401)+~P13(x73401,x73403)+P13(x73401,f317(f317(f141(x73401),x73402),x73403))+P1(f317(f317(f319(x73401),f695(x73403,x73402,x73401)),f317(f162(x73401),x73403)))
% 184.03/183.91 [7341]~P107(x73411)+~P13(x73411,x73413)+P13(x73411,f317(f317(f141(x73411),x73412),x73413))+P1(f317(f317(f319(x73411),f735(x73412,x73413,x73411)),f317(f162(x73411),x73413)))
% 184.03/183.91 [7457]~P107(x74571)+~P5(x74571)+~P1(f317(f317(f225(x74571),x74573),f31(x74571,x74572)))+P1(f317(f317(f319(x74571),f382(x74572,x74573,x74571)),x74572))
% 184.03/183.91 [7612]~P107(x76121)+~P5(x76121)+~P1(f317(f317(f225(x76121),f32(x76121,x76123)),x76122))+P1(f317(f317(f319(x76121),f430(x76122,x76123,x76121)),x76123))
% 184.03/183.91 [7613]~P107(x76131)+~P5(x76131)+~P1(f317(f317(f225(x76131),f32(x76131,x76133)),x76132))+P1(f317(f317(f225(x76131),f430(x76132,x76133,x76131)),x76132))
% 184.03/183.91 [7626]P147(x76262,x76263,x76261)+E(x76261,f2(a1))+P1(f317(f317(f225(a1),x76261),f840(x76261,x76263,x76262)))+P1(f317(f317(f225(a1),f841(x76261,x76263,x76262)),x76261))
% 184.03/183.91 [7627]P148(x76272,x76273,x76271)+E(x76271,f2(a1))+P1(f317(f317(f225(a1),x76271),f848(x76271,x76273,x76272)))+P1(f317(f317(f225(a1),f849(x76271,x76273,x76272)),x76271))
% 184.03/183.91 [7721]P147(x77213,x77212,x77211)+E(x77211,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77211),f846(x77211,x77212,x77213))),f840(x77211,x77212,x77213)),x77212)+P1(f317(f317(f225(a1),f2(a1)),x77211))
% 184.03/183.91 [7722]P148(x77223,x77222,x77221)+E(x77221,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77221),f851(x77221,x77222,x77223))),f848(x77221,x77222,x77223)),x77222)+P1(f317(f317(f225(a1),f2(a1)),x77221))
% 184.03/183.91 [7724]~P128(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))
% 184.03/183.91 [7725]~P128(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))
% 184.03/183.91 [7727]~P135(x77271)+~P1(f317(f317(f224(x77271),x77273),f2(x77271)))+P1(f317(f317(f224(x77271),f317(f317(f75(x77271),x77272),x77273)),f2(x77271)))+~P1(f317(f317(f224(x77271),f2(x77271)),x77272))
% 184.03/183.91 [7729]~P135(x77291)+~P1(f317(f317(f224(x77291),x77292),f2(x77291)))+P1(f317(f317(f224(x77291),f317(f317(f75(x77291),x77292),x77293)),f2(x77291)))+~P1(f317(f317(f224(x77291),f2(x77291)),x77293))
% 184.03/183.91 [7730]~P63(x77301)+~P1(f317(f317(f224(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))
% 184.03/183.91 [7731]~P63(x77311)+~P1(f317(f317(f224(x77311),x77312),f2(x77311)))+P1(f317(f317(f224(x77311),f317(f317(f281(x77311),x77312),x77313)),f2(x77311)))+~P1(f317(f317(f224(x77311),f2(x77311)),x77313))
% 184.03/183.91 [7732]~P64(x77321)+~P1(f317(f317(f224(x77321),x77322),f2(x77321)))+P1(f317(f317(f224(x77321),f317(f317(f281(x77321),x77322),x77323)),f2(x77321)))+~P1(f317(f317(f225(x77321),f2(x77321)),x77323))
% 184.03/183.91 [7733]~P64(x77331)+~P1(f317(f317(f225(x77331),x77333),f2(x77331)))+P1(f317(f317(f224(x77331),f317(f317(f281(x77331),x77332),x77333)),f2(x77331)))+~P1(f317(f317(f224(x77331),f2(x77331)),x77332))
% 184.03/183.91 [7735]~P133(x77351)+~P1(f317(f317(f225(x77351),x77353),f2(x77351)))+P1(f317(f317(f225(x77351),f317(f317(f75(x77351),x77352),x77353)),f2(x77351)))+~P1(f317(f317(f225(x77351),f2(x77351)),x77352))
% 184.03/183.91 [7736]~P133(x77361)+~P1(f317(f317(f225(x77361),x77362),f2(x77361)))+P1(f317(f317(f225(x77361),f317(f317(f75(x77361),x77362),x77363)),f2(x77361)))+~P1(f317(f317(f225(x77361),f2(x77361)),x77363))
% 184.03/183.91 [7737]~P63(x77371)+~P1(f317(f317(f225(x77371),x77373),f2(x77371)))+P1(f317(f317(f225(x77371),f317(f317(f281(x77371),x77372),x77373)),f2(x77371)))+~P1(f317(f317(f225(x77371),f2(x77371)),x77372))
% 184.03/183.91 [7738]~P63(x77381)+~P1(f317(f317(f225(x77381),x77382),f2(x77381)))+P1(f317(f317(f225(x77381),f317(f317(f281(x77381),x77382),x77383)),f2(x77381)))+~P1(f317(f317(f225(x77381),f2(x77381)),x77383))
% 184.03/183.91 [7739]~P64(x77391)+~P1(f317(f317(f225(x77391),x77393),f2(x77391)))+P1(f317(f317(f225(x77391),f317(f317(f281(x77391),x77392),x77393)),f2(x77391)))+~P1(f317(f317(f225(x77391),f2(x77391)),x77392))
% 184.03/183.91 [7740]~P64(x77401)+~P1(f317(f317(f225(x77401),x77402),f2(x77401)))+P1(f317(f317(f225(x77401),f317(f317(f281(x77401),x77402),x77403)),f2(x77401)))+~P1(f317(f317(f225(x77401),f2(x77401)),x77403))
% 184.03/183.91 [7755]P147(x77551,x77552,x77553)+~P1(f317(x77551,x77552))+P1(f317(f317(f225(a1),x77553),f840(x77553,x77552,x77551)))+P1(f317(f317(f225(a1),f841(x77553,x77552,x77551)),x77553))
% 184.03/183.91 [7768]P148(x77681,x77682,x77683)+P1(f317(f317(f225(a1),x77683),f848(x77683,x77682,x77681)))+~P1(f317(x77681,f2(a1)))+P1(f317(f317(f225(a1),f849(x77683,x77682,x77681)),x77683))
% 184.03/183.91 [7820]P147(x78202,x78203,x78201)+E(x78201,f2(a1))+~P1(f317(x78202,f840(x78201,x78203,x78202)))+P1(f317(f317(f225(a1),f841(x78201,x78203,x78202)),x78201))
% 184.03/183.91 [7821]P148(x78212,x78213,x78211)+E(x78211,f2(a1))+~P1(f317(x78212,f851(x78211,x78213,x78212)))+P1(f317(f317(f225(a1),f849(x78211,x78213,x78212)),x78211))
% 184.03/183.91 [7831]P147(x78313,x78312,x78311)+~P1(f317(x78313,x78312))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78311),f846(x78311,x78312,x78313))),f840(x78311,x78312,x78313)),x78312)+P1(f317(f317(f225(a1),f2(a1)),x78311))
% 184.03/183.91 [7846]P148(x78463,x78462,x78461)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78461),f851(x78461,x78462,x78463))),f848(x78461,x78462,x78463)),x78462)+~P1(f317(x78463,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78461))
% 184.03/183.91 [7874]~P1(f317(x78741,x78743))+~P1(f317(f28(x78742),x78743))+P1(f317(f317(f319(x78742),f411(x78741,x78743,x78742)),f406(x78741,x78743,x78742)))+P1(f317(x78741,f178(f906(x78742,a895))))
% 184.03/183.91 [7886]P147(x78861,x78862,x78863)+~P1(f317(x78861,x78862))+~P1(f317(x78861,f840(x78863,x78862,x78861)))+P1(f317(f317(f225(a1),f841(x78863,x78862,x78861)),x78863))
% 184.03/183.91 [7892]P148(x78921,x78922,x78923)+~P1(f317(x78921,f851(x78923,x78922,x78921)))+~P1(f317(x78921,f2(a1)))+P1(f317(f317(f225(a1),f849(x78923,x78922,x78921)),x78923))
% 184.03/183.91 [7994]~P128(x79941)+~P1(f317(f317(f224(x79941),f317(f317(f75(x79941),x79943),x79942)),f2(x79941)))+P1(f317(f317(f224(x79941),x79942),f2(x79941)))+P1(f317(f317(f224(x79941),f2(x79941)),x79942))
% 184.03/183.91 [7995]~P128(x79951)+~P1(f317(f317(f224(x79951),f317(f317(f75(x79951),x79952),x79953)),f2(x79951)))+P1(f317(f317(f224(x79951),x79952),f2(x79951)))+P1(f317(f317(f224(x79951),f2(x79951)),x79952))
% 184.03/183.91 [7996]~P63(x79961)+~P1(f317(f317(f224(x79961),f317(f317(f281(x79961),x79963),x79962)),f2(x79961)))+P1(f317(f317(f224(x79961),x79962),f2(x79961)))+P1(f317(f317(f224(x79961),f2(x79961)),x79962))
% 184.03/183.91 [7997]~P63(x79971)+~P1(f317(f317(f224(x79971),f317(f317(f281(x79971),x79972),x79973)),f2(x79971)))+P1(f317(f317(f224(x79971),x79972),f2(x79971)))+P1(f317(f317(f224(x79971),f2(x79971)),x79972))
% 184.03/183.91 [7998]~P63(x79981)+~P1(f317(f317(f225(x79981),f317(f317(f281(x79981),x79983),x79982)),f2(x79981)))+P1(f317(f317(f225(x79981),x79982),f2(x79981)))+P1(f317(f317(f225(x79981),f2(x79981)),x79982))
% 184.03/183.91 [7999]~P63(x79991)+~P1(f317(f317(f225(x79991),f317(f317(f281(x79991),x79992),x79993)),f2(x79991)))+P1(f317(f317(f225(x79991),x79992),f2(x79991)))+P1(f317(f317(f225(x79991),f2(x79991)),x79992))
% 184.03/183.91 [8023]~P128(x80231)+~P1(f317(f317(f224(x80231),f317(f317(f75(x80231),x80232),x80233)),f2(x80231)))+P1(f317(f317(f224(x80231),f2(x80231)),x80232))+P1(f317(f317(f224(x80231),f2(x80231)),x80233))
% 184.03/183.91 [8024]~P63(x80241)+~P1(f317(f317(f224(x80241),f317(f317(f281(x80241),x80242),x80243)),f2(x80241)))+P1(f317(f317(f224(x80241),f2(x80241)),x80242))+P1(f317(f317(f224(x80241),f2(x80241)),x80243))
% 184.03/183.91 [8025]~P63(x80251)+~P1(f317(f317(f225(x80251),f317(f317(f281(x80251),x80252),x80253)),f2(x80251)))+P1(f317(f317(f225(x80251),f2(x80251)),x80252))+P1(f317(f317(f225(x80251),f2(x80251)),x80253))
% 184.03/183.91 [8047]P147(x80472,x80473,x80471)+E(x80471,f2(a1))+P1(f317(f317(f224(a1),f840(x80471,x80473,x80472)),f2(a1)))+P1(f317(f317(f225(a1),f841(x80471,x80473,x80472)),x80471))
% 184.03/183.91 [8048]P148(x80482,x80483,x80481)+E(x80481,f2(a1))+P1(f317(f317(f224(a1),f848(x80481,x80483,x80482)),f2(a1)))+P1(f317(f317(f225(a1),f849(x80481,x80483,x80482)),x80481))
% 184.03/183.91 [8055]~P112(x80551)+~P1(f317(f317(f225(x80551),x80552),f72(x80551)))+P1(f317(f317(f225(x80551),f317(f317(f234(x80551),x80552),f317(a102,x80553))),f72(x80551)))+~P1(f317(f317(f225(x80551),f2(x80551)),x80552))
% 184.03/183.91 [8108]~P107(x81081)+~E(x81083,f103(x81081))+~P13(x81081,f317(f158(x81081),x81083))+E(f317(f132(x81081,x81081,f317(f9(x81081,x81081,x81081),f223(x81081)),x81082),f317(f158(x81081),x81083)),x81082)
% 184.03/183.91 [8111]P147(x81111,x81112,x81113)+~P1(f317(x81111,x81112))+P1(f317(f317(f224(a1),f840(x81113,x81112,x81111)),f2(a1)))+P1(f317(f317(f225(a1),f841(x81113,x81112,x81111)),x81113))
% 184.03/183.91 [8118]P148(x81181,x81182,x81183)+~P1(f317(x81181,f2(a1)))+P1(f317(f317(f224(a1),f848(x81183,x81182,x81181)),f2(a1)))+P1(f317(f317(f225(a1),f849(x81183,x81182,x81181)),x81183))
% 184.03/183.91 [8336]P147(x83363,x83362,x83361)+E(x83361,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83361),f846(x83361,x83362,x83363))),f840(x83361,x83362,x83363)),x83362)+P1(f317(f317(f225(a1),f841(x83361,x83362,x83363)),x83361))
% 184.03/183.91 [8337]P148(x83373,x83372,x83371)+E(x83371,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83371),f851(x83371,x83372,x83373))),f848(x83371,x83372,x83373)),x83372)+P1(f317(f317(f225(a1),f849(x83371,x83372,x83373)),x83371))
% 184.03/183.91 [8373]P147(x83733,x83732,x83731)+~P1(f317(x83733,x83732))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83731),f846(x83731,x83732,x83733))),f840(x83731,x83732,x83733)),x83732)+P1(f317(f317(f225(a1),f841(x83731,x83732,x83733)),x83731))
% 184.03/183.91 [8374]~P70(x83741)+~P74(x83741)+~P39(x83743)+E(f317(f317(f8(a899,x83741),f317(f317(f10(a1,x83741,a899),x83742),f90(a1))),f317(f300(a1,a899,a95),x83743)),f317(f317(f8(a1,x83741),x83742),x83743))
% 184.03/183.91 [8375]~P70(x83751)+~P74(x83751)+~P39(x83753)+E(f317(f317(f11(a899,x83751),f317(f317(f10(a1,x83751,a899),x83752),f90(a1))),f317(f300(a1,a899,a95),x83753)),f317(f317(f11(a1,x83751),x83752),x83753))
% 184.03/183.91 [8384]P148(x83843,x83842,x83841)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83841),f851(x83841,x83842,x83843))),f848(x83841,x83842,x83843)),x83842)+~P1(f317(x83843,f2(a1)))+P1(f317(f317(f225(a1),f849(x83841,x83842,x83843)),x83841))
% 184.03/183.91 [8406]~E(x84062,f2(a899))+~E(f317(f241(a899,a899),x84063),f2(a899))+~E(x84061,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x84063)),x84062)),f317(f246(a899,a899),x84063)))+P1(f317(f43(x84061,x84062),x84063))
% 184.03/183.91 [8463]P1(f317(x84631,x84632))+~P1(f317(f317(f319(x84633),f863(x84631,x84632,x84633)),f876(x84631,x84632,x84633)))+~P1(f317(f28(x84633),x84632))+~P1(f317(x84631,f178(f906(x84633,a895))))
% 184.03/183.91 [9088]P1(f317(x90881,x90882))+~P1(f317(f28(x90883),x90882))+~P1(f317(x90881,f317(f317(f299(x90883),f863(x90881,x90882,x90883)),f876(x90881,x90882,x90883))))+~P1(f317(x90881,f178(f906(x90883,a895))))
% 184.03/183.91 [9319]P1(f317(f317(f224(a1),x93191),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x93193),x93191)),x93192)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x93192))+~P1(f317(f317(f225(a1),f2(a1)),x93193))
% 184.03/183.91 [5876]~P107(x58762)+E(x58761,f178(f906(x58762,a895)))+~P1(f317(f28(x58762),x58761))+E(f16(x58762,f317(f317(f299(x58762),x58763),x58761)),f317(f317(f228(x58762),x58763),f16(x58762,x58761)))
% 184.03/183.91 [5877]~P107(x58772)+E(x58771,f178(f906(x58772,a895)))+~P1(f317(f28(x58772),x58771))+E(f17(x58772,f317(f317(f299(x58772),x58773),x58771)),f317(f317(f223(x58772),x58773),f17(x58772,x58771)))
% 184.03/183.91 [5878]~P98(x58782)+E(x58781,f178(f906(x58782,a895)))+~P1(f317(f28(x58782),x58781))+E(f12(x58782,f317(f317(f299(x58782),x58783),x58781)),f317(f317(f91(x58782),x58783),f12(x58782,x58781)))
% 184.03/183.91 [5879]~P98(x58792)+E(x58791,f178(f906(x58792,a895)))+~P1(f317(f28(x58792),x58791))+E(f13(x58792,f317(f317(f299(x58792),x58793),x58791)),f317(f317(f92(x58792),x58793),f13(x58792,x58791)))
% 184.03/183.91 [6210]~P128(x62101)+~E(x62103,f2(x62101))+~E(x62102,f2(x62101))+E(f317(f317(f74(x62101),f317(f317(f75(x62101),x62102),x62102)),f317(f317(f75(x62101),x62103),x62103)),f2(x62101))
% 184.03/183.91 [6283]~P96(x62832)+E(x62831,f178(f906(x62832,a895)))+~P1(f317(f28(x62832),x62831))+E(f317(f57(x62832,f75(x62832)),f317(f317(f299(x62832),x62833),x62831)),f317(f317(f75(x62832),x62833),f317(f57(x62832,f75(x62832)),x62831)))
% 184.03/183.91 [6414]~P107(x64142)+E(x64141,f178(f906(x64142,a895)))+~P1(f317(f28(x64142),x64141))+E(f14(x64142,f228(x64142),f317(f317(f299(x64142),x64143),x64141)),f317(f317(f228(x64142),x64143),f14(x64142,f228(x64142),x64141)))
% 184.03/183.91 [6415]~P107(x64152)+E(x64151,f178(f906(x64152,a895)))+~P1(f317(f28(x64152),x64151))+E(f15(x64152,f223(x64152),f317(f317(f299(x64152),x64153),x64151)),f317(f317(f223(x64152),x64153),f15(x64152,f223(x64152),x64151)))
% 184.03/183.91 [6937]~P68(x69371)+~P1(f317(f28(x69371),x69373))+E(f317(f57(x69371,f75(x69371)),f317(f317(f299(x69371),x69372),x69373)),f317(f317(f58(x69371,x69371,f75(x69371)),x69372),x69373))+P1(f317(f317(f319(x69371),x69372),x69373))
% 184.03/183.91 [7020]~E(f317(f317(f74(a1),x70202),f317(f317(f75(a1),x70203),x70201)),x70203)+~P1(f317(f317(f225(a1),f2(a1)),x70203))+P1(f317(f317(f224(a1),f72(a1)),x70201))+~P1(f317(f317(f225(a1),x70202),x70203))
% 184.03/183.91 [7049]~E(f317(f317(f74(a1),x70492),f317(f317(f75(a1),x70493),x70491)),x70493)+P1(f317(f317(f224(a1),x70491),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x70492))+~P1(f317(f317(f225(a1),f2(a1)),x70493))
% 184.03/183.91 [7067]E(x70671,f2(a899))+~P1(f317(f43(x70673,x70671),x70672))+~P1(f317(f317(f225(a899),f2(a899)),x70671))+P1(f317(f317(f225(a899),f317(f246(a899,a899),x70672)),x70671))
% 184.03/183.91 [7098]~P138(x70981)+~P1(f317(f317(f224(x70981),x70982),f2(x70981)))+~P1(f317(f317(f224(x70981),x70983),f2(x70981)))+E(f317(f317(f75(x70981),f317(f70(x70981),x70982)),f317(f70(x70981),x70983)),f317(f70(x70981),f317(f317(f75(x70981),x70982),x70983)))
% 184.03/183.91 [7145]~P138(x71451)+~P1(f317(f317(f224(x71451),x71452),f2(x71451)))+E(f317(f317(f75(x71451),f317(f70(x71451),x71452)),f317(f70(x71451),x71453)),f317(f70(x71451),f317(f317(f75(x71451),x71452),x71453)))+~P1(f317(f317(f224(x71451),f2(x71451)),x71453))
% 184.03/183.91 [7146]~P138(x71461)+~P1(f317(f317(f224(x71461),x71463),f2(x71461)))+E(f317(f317(f75(x71461),f317(f70(x71461),x71462)),f317(f70(x71461),x71463)),f317(f70(x71461),f317(f317(f75(x71461),x71462),x71463)))+~P1(f317(f317(f224(x71461),f2(x71461)),x71462))
% 184.03/183.91 [7202]~P138(x72021)+E(f317(f317(f75(x72021),f317(f70(x72021),x72022)),f317(f70(x72021),x72023)),f317(f70(x72021),f317(f317(f75(x72021),x72022),x72023)))+~P1(f317(f317(f224(x72021),f2(x72021)),x72022))+~P1(f317(f317(f224(x72021),f2(x72021)),x72023))
% 184.03/183.91 [7219]~P111(x72191)+~P1(f317(f317(f224(x72191),x72193),f2(x72191)))+~P1(f317(f317(f224(x72191),x72192),f2(x72191)))+P1(f317(f317(f224(x72191),f2(x72191)),f317(f317(f75(x72191),x72192),x72193)))
% 184.03/183.91 [7220]~P128(x72201)+~P1(f317(f317(f224(x72201),x72203),f2(x72201)))+~P1(f317(f317(f224(x72201),x72202),f2(x72201)))+P1(f317(f317(f224(x72201),f2(x72201)),f317(f317(f75(x72201),x72202),x72203)))
% 184.03/183.91 [7221]~P63(x72211)+~P1(f317(f317(f224(x72211),x72213),f2(x72211)))+~P1(f317(f317(f224(x72211),x72212),f2(x72211)))+P1(f317(f317(f224(x72211),f2(x72211)),f317(f317(f281(x72211),x72212),x72213)))
% 184.03/183.91 [7222]~P64(x72221)+~P1(f317(f317(f225(x72221),x72223),f2(x72221)))+~P1(f317(f317(f224(x72221),x72222),f2(x72221)))+P1(f317(f317(f224(x72221),f2(x72221)),f317(f317(f281(x72221),x72222),x72223)))
% 184.03/183.91 [7223]~P128(x72231)+~P1(f317(f317(f225(x72231),x72233),f2(x72231)))+~P1(f317(f317(f225(x72231),x72232),f2(x72231)))+P1(f317(f317(f225(x72231),f2(x72231)),f317(f317(f75(x72231),x72232),x72233)))
% 184.03/183.91 [7224]~P63(x72241)+~P1(f317(f317(f225(x72241),x72243),f2(x72241)))+~P1(f317(f317(f225(x72241),x72242),f2(x72241)))+P1(f317(f317(f225(x72241),f2(x72241)),f317(f317(f281(x72241),x72242),x72243)))
% 184.03/183.91 [7225]~P64(x72251)+~P1(f317(f317(f225(x72251),x72253),f2(x72251)))+~P1(f317(f317(f225(x72251),x72252),f2(x72251)))+P1(f317(f317(f225(x72251),f2(x72251)),f317(f317(f281(x72251),x72252),x72253)))
% 184.03/183.91 [7226]~P112(x72261)+~P1(f317(f317(f225(a899),f2(a899)),x72263))+~P1(f317(f317(f225(x72261),f72(x72261)),x72262))+P1(f317(f317(f225(x72261),f72(x72261)),f317(f317(f234(x72261),x72262),x72263)))
% 184.03/183.91 [7323]~P111(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)))
% 184.03/183.91 [7324]~P128(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(f75(x73241),x73242),x73243)))
% 184.03/183.91 [7325]~P135(x73251)+~P1(f317(f317(f224(x73251),f2(x73251)),x73253))+~P1(f317(f317(f224(x73251),f2(x73251)),x73252))+P1(f317(f317(f224(x73251),f2(x73251)),f317(f317(f75(x73251),x73252),x73253)))
% 184.03/183.91 [7327]~P63(x73271)+~P1(f317(f317(f224(x73271),f2(x73271)),x73273))+~P1(f317(f317(f224(x73271),f2(x73271)),x73272))+P1(f317(f317(f224(x73271),f2(x73271)),f317(f317(f281(x73271),x73272),x73273)))
% 184.03/183.91 [7328]~P64(x73281)+~P1(f317(f317(f225(x73281),f2(x73281)),x73283))+~P1(f317(f317(f224(x73281),f2(x73281)),x73282))+P1(f317(f317(f224(x73281),f2(x73281)),f317(f317(f281(x73281),x73282),x73283)))
% 184.03/183.91 [7329]~P112(x73291)+~P1(f317(f317(f225(x73291),f72(x73291)),x73293))+~P1(f317(f317(f225(x73291),f72(x73291)),x73292))+P1(f317(f317(f225(x73291),f72(x73291)),f317(f317(f75(x73291),x73292),x73293)))
% 184.03/183.91 [7330]~P133(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)))
% 184.03/183.91 [7333]~P87(x73331)+~P1(f317(f317(f225(x73331),f2(x73331)),x73333))+~P1(f317(f317(f225(x73331),f2(x73331)),x73332))+P1(f317(f317(f225(x73331),f2(x73331)),f317(f317(f74(x73331),x73332),x73333)))
% 184.03/183.91 [7334]~P63(x73341)+~P1(f317(f317(f225(x73341),f2(x73341)),x73343))+~P1(f317(f317(f225(x73341),f2(x73341)),x73342))+P1(f317(f317(f225(x73341),f2(x73341)),f317(f317(f281(x73341),x73342),x73343)))
% 184.03/183.91 [7335]~P64(x73351)+~P1(f317(f317(f225(x73351),f2(x73351)),x73353))+~P1(f317(f317(f225(x73351),f2(x73351)),x73352))+P1(f317(f317(f225(x73351),f2(x73351)),f317(f317(f281(x73351),x73352),x73353)))
% 184.03/183.91 [7414]~P107(x74141)+~P1(f317(f28(x74141),x74143))+E(f16(x74141,f317(f317(f299(x74141),x74142),x74143)),x74142)+~E(f317(f317(f3(f906(x74141,a895)),x74143),f317(f317(f299(x74141),x74142),f178(f906(x74141,a895)))),f178(f906(x74141,a895)))
% 184.03/183.91 [7415]~P107(x74151)+~P1(f317(f28(x74151),x74153))+E(f17(x74151,f317(f317(f299(x74151),x74152),x74153)),x74152)+~E(f317(f317(f3(f906(x74151,a895)),x74153),f317(f317(f299(x74151),x74152),f178(f906(x74151,a895)))),f178(f906(x74151,a895)))
% 184.03/183.91 [7416]~P98(x74161)+~P1(f317(f28(x74161),x74163))+E(f12(x74161,f317(f317(f299(x74161),x74162),x74163)),x74162)+~E(f317(f317(f3(f906(x74161,a895)),x74163),f317(f317(f299(x74161),x74162),f178(f906(x74161,a895)))),f178(f906(x74161,a895)))
% 184.03/183.91 [7417]~P98(x74171)+~P1(f317(f28(x74171),x74173))+E(f13(x74171,f317(f317(f299(x74171),x74172),x74173)),x74172)+~E(f317(f317(f3(f906(x74171,a895)),x74173),f317(f317(f299(x74171),x74172),f178(f906(x74171,a895)))),f178(f906(x74171,a895)))
% 184.03/183.91 [7419]~P128(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(f75(x74191),x74193),x74192)))
% 184.03/183.91 [7420]~P128(x74201)+P1(f317(f317(f224(x74201),x74202),f2(x74201)))+P1(f317(f317(f224(x74201),f2(x74201)),x74203))+~P1(f317(f317(f224(x74201),f2(x74201)),f317(f317(f75(x74201),x74202),x74203)))
% 184.03/183.91 [7421]~P63(x74211)+P1(f317(f317(f224(x74211),x74212),f2(x74211)))+P1(f317(f317(f224(x74211),f2(x74211)),x74213))+~P1(f317(f317(f224(x74211),f2(x74211)),f317(f317(f281(x74211),x74213),x74212)))
% 184.03/183.91 [7422]~P63(x74221)+P1(f317(f317(f224(x74221),x74222),f2(x74221)))+P1(f317(f317(f224(x74221),f2(x74221)),x74223))+~P1(f317(f317(f224(x74221),f2(x74221)),f317(f317(f281(x74221),x74222),x74223)))
% 184.03/183.91 [7423]~P128(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(f75(x74231),x74233),x74232)))
% 184.03/183.91 [7424]~P128(x74241)+P1(f317(f317(f224(x74241),x74242),f2(x74241)))+P1(f317(f317(f224(x74241),f2(x74241)),x74242))+~P1(f317(f317(f224(x74241),f2(x74241)),f317(f317(f75(x74241),x74242),x74243)))
% 184.03/183.91 [7425]~P63(x74251)+P1(f317(f317(f224(x74251),x74252),f2(x74251)))+P1(f317(f317(f224(x74251),f2(x74251)),x74252))+~P1(f317(f317(f224(x74251),f2(x74251)),f317(f317(f281(x74251),x74253),x74252)))
% 184.03/183.91 [7426]~P63(x74261)+P1(f317(f317(f224(x74261),x74262),f2(x74261)))+P1(f317(f317(f224(x74261),f2(x74261)),x74262))+~P1(f317(f317(f224(x74261),f2(x74261)),f317(f317(f281(x74261),x74262),x74263)))
% 184.03/183.91 [7427]~P63(x74271)+P1(f317(f317(f225(x74271),x74272),f2(x74271)))+P1(f317(f317(f225(x74271),f2(x74271)),x74273))+~P1(f317(f317(f225(x74271),f2(x74271)),f317(f317(f281(x74271),x74273),x74272)))
% 184.03/183.91 [7428]~P63(x74281)+P1(f317(f317(f225(x74281),x74282),f2(x74281)))+P1(f317(f317(f225(x74281),f2(x74281)),x74283))+~P1(f317(f317(f225(x74281),f2(x74281)),f317(f317(f281(x74281),x74282),x74283)))
% 184.03/183.91 [7429]~P63(x74291)+P1(f317(f317(f225(x74291),x74292),f2(x74291)))+P1(f317(f317(f225(x74291),f2(x74291)),x74292))+~P1(f317(f317(f225(x74291),f2(x74291)),f317(f317(f281(x74291),x74293),x74292)))
% 184.03/183.91 [7430]~P63(x74301)+P1(f317(f317(f225(x74301),x74302),f2(x74301)))+P1(f317(f317(f225(x74301),f2(x74301)),x74302))+~P1(f317(f317(f225(x74301),f2(x74301)),f317(f317(f281(x74301),x74302),x74303)))
% 184.03/183.91 [7503]~P1(f317(f317(f277(a899),x75031),x75033))+P1(f317(f317(f277(a899),x75031),x75032))+~P1(f317(f317(f224(a899),x75032),x75033))+~P1(f317(f317(f277(a899),x75031),f317(f317(f3(a899),x75033),x75032)))
% 184.03/183.91 [7504]~P1(f317(f317(f277(a899),x75041),x75043))+P1(f317(f317(f277(a899),x75041),x75042))+~P1(f317(f317(f224(a899),x75043),x75042))+~P1(f317(f317(f277(a899),x75041),f317(f317(f3(a899),x75042),x75043)))
% 184.03/183.91 [7519]~E(f317(f317(f92(f906(x75191,a895)),f317(f162(x75191),x75192)),f317(f162(x75191),x75193)),f178(f906(x75191,a895)))+~P1(f317(f127(x75191),x75193))+~P1(f317(f127(x75191),x75192))+P1(f317(f127(x75191),f317(f317(f124(x75191),x75192),x75193)))
% 184.03/183.91 [7520]~P107(x75201)+~P1(f317(f28(x75201),x75203))+E(f14(x75201,f228(x75201),f317(f317(f299(x75201),x75202),x75203)),x75202)+~E(f317(f317(f3(f906(x75201,a895)),x75203),f317(f317(f299(x75201),x75202),f178(f906(x75201,a895)))),f178(f906(x75201,a895)))
% 184.03/183.91 [7521]~P107(x75211)+~P1(f317(f28(x75211),x75213))+E(f15(x75211,f223(x75211),f317(f317(f299(x75211),x75212),x75213)),x75212)+~E(f317(f317(f3(f906(x75211,a895)),x75213),f317(f317(f299(x75211),x75212),f178(f906(x75211,a895)))),f178(f906(x75211,a895)))
% 184.03/183.91 [7534]~P85(x75341)+~P1(f317(f317(f224(x75341),x75342),x75343))+~P1(f317(f317(f224(x75341),f317(f73(x75341),x75342)),x75343))+P1(f317(f317(f224(x75341),f317(f70(x75341),x75342)),x75343))
% 184.03/183.91 [7535]~P113(x75351)+~P1(f317(f317(f225(x75351),x75352),x75353))+~P1(f317(f317(f225(x75351),f317(f73(x75351),x75352)),x75353))+P1(f317(f317(f225(x75351),f317(f70(x75351),x75352)),x75353))
% 184.03/183.91 [7601]~P133(x76011)+P1(f317(f317(f225(x76011),f2(x76011)),x76012))+~P1(f317(f317(f225(x76011),f2(x76011)),x76013))+~P1(f317(f317(f225(x76011),f2(x76011)),f317(f317(f75(x76011),x76013),x76012)))
% 184.03/183.91 [7602]~P133(x76021)+P1(f317(f317(f225(x76021),f2(x76021)),x76022))+~P1(f317(f317(f225(x76021),f2(x76021)),x76023))+~P1(f317(f317(f225(x76021),f2(x76021)),f317(f317(f75(x76021),x76022),x76023)))
% 184.03/183.91 [7906]E(x79061,x79062)+~P1(f317(f28(x79063),x79061))+~P1(f317(f317(f224(a899),f317(f29(x79063),x79061)),f317(f29(x79063),x79062)))+~P1(f317(f317(f224(f906(x79063,a895)),x79062),x79061))
% 184.03/183.91 [8052]~P1(f317(f317(f225(a1),x80521),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x80522))+~P1(f317(f317(f224(a1),x80522),x80523))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80521),x80522)),f317(f317(f30(a1),x80521),x80523)))
% 184.03/183.91 [8062]~P1(f317(f317(f224(a1),f2(a1)),x80621))+~P1(f317(f317(f225(a1),f2(a1)),x80623))+~P1(f317(f317(f224(a1),x80623),x80622))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80621),x80622)),f317(f317(f30(a1),x80621),x80623)))
% 184.03/183.91 [8196]E(f317(x81961,f335(x81962,x81961,x81963)),x81962)+~P1(f317(f317(f224(a1),x81962),f317(x81961,x81963)))+P1(f317(f317(f225(a899),f336(x81962,x81961,x81963)),x81963))+~P1(f317(f317(f224(a1),f317(x81961,f2(a899))),x81962))
% 184.03/183.91 [8197]E(f317(x81971,f338(x81972,x81971,x81973)),x81972)+~P1(f317(f317(f224(a1),x81972),f317(x81971,x81973)))+P1(f317(f317(f225(a899),f339(x81972,x81971,x81973)),x81973))+~P1(f317(f317(f224(a1),f317(x81971,f2(a899))),x81972))
% 184.03/183.91 [8299]~P1(f317(f28(x82991),x82993))+~P1(f317(f317(f225(a899),f317(f29(x82991),x82992)),f317(f29(x82991),x82993)))+~P1(f317(f317(f224(f906(x82991,a895)),x82992),x82993))+P1(f317(f317(f225(f906(x82991,a895)),x82992),x82993))
% 184.03/183.91 [8326]E(f317(f317(f74(a1),f340(x83263,x83261,x83262)),f341(x83263,x83261,x83262)),x83261)+E(f317(f317(f3(a1),x83261),x83262),x83261)+~P1(f317(f317(f225(a1),f2(a1)),x83262))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x83261),f72(a1))),x83263))
% 184.03/183.91 [8327]E(f317(f317(f3(a1),f346(x83273,x83271,x83272)),f347(x83273,x83271,x83272)),x83271)+E(f317(f317(f74(a1),x83271),x83272),x83271)+~P1(f317(f317(f225(a1),f2(a1)),x83272))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x83271),f72(a1))),x83273))
% 184.03/183.91 [8379]~P1(f317(f317(f224(a899),x83793),x83791))+P1(f317(f317(f224(a899),x83791),x83792))+~P1(f317(f317(f224(a899),x83793),x83792))+~P1(f317(f317(f224(a899),f317(f317(f3(a899),x83791),x83793)),f317(f317(f3(a899),x83792),x83793)))
% 184.03/183.91 [8380]~P1(f317(f317(f224(a899),x83803),x83801))+P1(f317(f317(f225(a899),x83801),x83802))+~P1(f317(f317(f224(a899),x83803),x83802))+~P1(f317(f317(f225(a899),f317(f317(f3(a899),x83801),x83803)),f317(f317(f3(a899),x83802),x83803)))
% 184.03/183.91 [8399]~P107(x83992)+E(x83991,f103(x83992))+~P13(x83992,f317(f158(x83992),x83991))+E(f317(f132(x83992,x83992,f317(f9(x83992,x83992,x83992),f223(x83992)),x83993),f317(f158(x83992),x83991)),f317(f317(f223(x83992),f317(f317(f154(x83992),x83991),f2(a899))),x83993))
% 184.03/183.91 [8468]E(f317(f317(f3(a1),x84681),x84682),x84681)+~P1(f317(f317(f225(a1),f2(a1)),x84682))+P1(f317(f317(f319(a1),f340(x84683,x84681,x84682)),x84683))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x84681),f72(a1))),x84683))
% 184.03/183.91 [8469]E(f317(f317(f74(a1),x84691),x84692),x84691)+~P1(f317(f317(f225(a1),f2(a1)),x84692))+P1(f317(f317(f319(a1),f346(x84693,x84691,x84692)),x84693))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x84691),f72(a1))),x84693))
% 184.03/183.91 [8542]~P1(f317(f317(f224(a1),x85421),f317(x85422,x85423)))+P1(f317(f317(f225(a899),f336(x85421,x85422,x85423)),x85423))+P1(f317(f317(f224(a899),f335(x85421,x85422,x85423)),x85423))+~P1(f317(f317(f224(a1),f317(x85422,f2(a899))),x85421))
% 184.03/183.91 [8543]~P1(f317(f317(f224(a1),x85431),f317(x85432,x85433)))+P1(f317(f317(f225(a899),f339(x85431,x85432,x85433)),x85433))+P1(f317(f317(f224(a899),f338(x85431,x85432,x85433)),x85433))+~P1(f317(f317(f224(a1),f317(x85432,f2(a899))),x85431))
% 184.03/183.91 [8615]E(f317(f317(f3(a1),x86151),x86152),x86151)+~P1(f317(f317(f225(a1),f2(a1)),x86152))+P1(f317(f317(f319(a1),f341(x86153,x86151,x86152)),f293(a1,f72(a1),x86152)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x86151),f72(a1))),x86153))
% 184.03/183.91 [8616]E(f317(f317(f74(a1),x86161),x86162),x86161)+~P1(f317(f317(f225(a1),f2(a1)),x86162))+P1(f317(f317(f319(a1),f347(x86163,x86161,x86162)),f293(a1,f72(a1),x86162)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x86161),f72(a1))),x86163))
% 184.03/183.91 [8749]~P112(x87491)+~P1(f317(f317(f225(x87491),x87492),f72(x87491)))+~P1(f317(f317(f225(x87491),f2(x87491)),x87492))+P1(f317(f317(f225(x87491),f317(f317(f75(x87491),x87492),f317(f317(f234(x87491),x87492),x87493))),f317(f317(f234(x87491),x87492),x87493)))
% 184.03/183.91 [8842]~P1(f317(x88421,x88422))+P1(f317(x88421,f2(a899)))+~P1(f317(f317(f225(a899),x88422),x88423))+~P1(f317(x88421,f40(a899,f317(a102,f405(x88422,x88421,x88423)),x88423)))
% 184.03/183.91 [8994]E(f461(x89941,x89942,x89943),f2(a899))+P1(f317(f317(x89941,x89943),x89942))+P1(f317(f317(x89941,f461(x89941,x89942,x89943)),f40(a899,f460(x89941,x89942,x89943),f461(x89941,x89942,x89943))))+~P1(f317(f305(f905(a899,a899),a209),f317(f317(f242(a899,a899),x89943),x89942)))
% 184.03/183.91 [9030]~P24(x90301,x90301,x90302,x90303)+E(f317(f300(x90301,x90301,x90302),x90303),x90303)+~P1(f317(f28(x90301),x90303))+~P1(f317(f317(f224(f906(x90301,a895)),f317(f300(x90301,x90301,x90302),x90303)),x90303))
% 184.03/183.91 [9245]P1(f317(f317(x92451,x92452),x92453))+P1(f317(f317(f225(a1),f753(x92451,x92453,x92452)),f754(x92451,x92453,x92452)))+P1(f317(f317(x92451,f753(x92451,x92453,x92452)),f317(f317(f74(a1),f754(x92451,x92453,x92452)),f72(a1))))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x92452),x92453)))
% 184.03/183.91 [9262]P1(f317(f317(x92621,x92622),x92623))+~P1(f317(f317(f225(a1),f459(x92621,x92623,x92622)),f2(a1)))+P1(f317(f317(x92621,f317(f73(a1),f456(x92621,x92623,x92622))),f317(f73(a1),f459(x92621,x92623,x92622))))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x92622),x92623)))
% 184.03/183.91 [9454]P1(f317(f317(x94541,x94542),x94543))+P1(f317(f317(x94541,f317(f317(f74(a1),f657(x94541,x94543,x94542)),f72(a1))),f659(x94541,x94543,x94542)))+~P1(f317(f317(f224(a1),f657(x94541,x94543,x94542)),f659(x94541,x94543,x94542)))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x94542),x94543)))
% 184.03/183.91 [9898]~P60(x98982)+~P60(x98981)+~P1(f317(f51(f905(x98981,x98982)),x98983))+P1(f317(f51(x98981),f317(f317(f10(f906(x98982,a895),a895,x98981),f51(x98982)),f317(f317(f10(f906(x98982,f905(x98981,x98982)),f906(x98982,a895),x98981),f317(f10(f905(x98981,x98982),a895,x98982),x98983)),f242(x98981,x98982)))))
% 184.03/183.91 [9899]~P60(x98992)+~P60(x98991)+~P1(f317(f52(f905(x98991,x98992)),x98993))+P1(f317(f52(x98991),f317(f317(f10(f906(x98992,a895),a895,x98991),f52(x98992)),f317(f317(f10(f906(x98992,f905(x98991,x98992)),f906(x98992,a895),x98991),f317(f10(f905(x98991,x98992),a895,x98992),x98993)),f242(x98991,x98992)))))
% 184.03/183.91 [9993]~P60(x99932)+~P60(x99931)+P1(f317(f51(f905(x99931,x99932)),x99933))+~P1(f317(f51(x99931),f317(f317(f10(f906(x99932,a895),a895,x99931),f51(x99932)),f317(f317(f10(f906(x99932,f905(x99931,x99932)),f906(x99932,a895),x99931),f317(f10(f905(x99931,x99932),a895,x99932),x99933)),f242(x99931,x99932)))))
% 184.03/183.91 [9994]~P60(x99942)+~P60(x99941)+P1(f317(f52(f905(x99941,x99942)),x99943))+~P1(f317(f52(x99941),f317(f317(f10(f906(x99942,a895),a895,x99941),f52(x99942)),f317(f317(f10(f906(x99942,f905(x99941,x99942)),f906(x99942,a895),x99941),f317(f10(f905(x99941,x99942),a895,x99942),x99943)),f242(x99941,x99942)))))
% 184.03/183.91 [10167]E(f317(x101671,f335(x101672,x101671,x101673)),x101672)+~P1(f317(f317(f224(a1),x101672),f317(x101671,x101673)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101671,f317(f317(f74(a899),f336(x101672,x101671,x101673)),f72(a899)))),f317(x101671,f336(x101672,x101671,x101673))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101671,f2(a899))),x101672))
% 184.03/183.91 [10168]E(f317(x101681,f338(x101682,x101681,x101683)),x101682)+~P1(f317(f317(f224(a1),x101682),f317(x101681,x101683)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101681,f317(f317(f74(a899),f339(x101682,x101681,x101683)),f72(a899)))),f317(x101681,f339(x101682,x101681,x101683))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101681,f2(a899))),x101682))
% 184.03/183.91 [10171]~P1(f317(f317(f224(a1),x101711),f317(x101712,x101713)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101712,f317(f317(f74(a899),f336(x101711,x101712,x101713)),f72(a899)))),f317(x101712,f336(x101711,x101712,x101713))))),f72(a1)))+P1(f317(f317(f224(a899),f335(x101711,x101712,x101713)),x101713))+~P1(f317(f317(f224(a1),f317(x101712,f2(a899))),x101711))
% 184.03/183.91 [10172]~P1(f317(f317(f224(a1),x101721),f317(x101722,x101723)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101722,f317(f317(f74(a899),f339(x101721,x101722,x101723)),f72(a899)))),f317(x101722,f339(x101721,x101722,x101723))))),f72(a1)))+P1(f317(f317(f224(a899),f338(x101721,x101722,x101723)),x101723))+~P1(f317(f317(f224(a1),f317(x101722,f2(a899))),x101721))
% 184.03/183.91 [10229]E(x102291,x102292)+~E(f317(f132(f900(x102293),f900(x102293),f124(x102293),f103(x102293)),x102291),f317(f132(f900(x102293),f900(x102293),f124(x102293),f103(x102293)),x102292))+~E(f317(f179(f900(f900(x102293))),x102291),f317(f179(f900(f900(x102293))),x102292))+~P1(f317(f317(f247(f900(x102293),f900(x102293),a895),f317(f317(f9(f900(x102293),f906(f900(x102293),a899),f906(f900(x102293),a895)),f317(f317(f10(f906(a899,a895),f906(f906(f900(x102293),a899),f906(f900(x102293),a895)),f900(x102293)),f10(a899,a895,f900(x102293))),f317(f317(f10(a899,f906(a899,a895),f900(x102293)),a314),f179(f900(x102293))))),f179(f900(x102293)))),f685(x102292,x102291,x102293)))
% 184.03/183.91 [10230]E(x102301,x102302)+~E(f317(f132(f900(x102303),f900(x102303),f124(x102303),f103(x102303)),x102301),f317(f132(f900(x102303),f900(x102303),f124(x102303),f103(x102303)),x102302))+~E(f317(f179(f900(f900(x102303))),x102301),f317(f179(f900(f900(x102303))),x102302))+~P1(f317(f317(f247(f900(x102303),f900(x102303),a895),f317(f317(f9(f900(x102303),f906(f900(x102303),a899),f906(f900(x102303),a895)),f317(f317(f10(f906(a899,a895),f906(f906(f900(x102303),a899),f906(f900(x102303),a895)),f900(x102303)),f10(a899,a895,f900(x102303))),f317(f317(f10(a899,f906(a899,a895),f900(x102303)),a314),f179(f900(x102303))))),f179(f900(x102303)))),f686(x102301,x102302,x102303)))
% 184.03/183.91 [6925]~E(f72(a899),f2(a899))+~P1(f317(f28(x69251),x69253))+~P1(f317(f28(x69251),x69252))+E(f317(f317(f74(a899),f317(f29(x69251),x69252)),f317(f29(x69251),x69253)),f317(f29(x69251),f317(f317(f91(f906(x69251,a895)),x69252),x69253)))
% 184.03/183.91 [7342]~P107(x73421)+~P1(f317(f28(x73421),x73422))+~P1(f317(f317(f319(x73421),x73423),x73422))+P1(f317(f317(f224(x73421),f317(f57(x73421,f228(x73421)),x73422)),x73423))
% 184.03/183.91 [7343]~P103(x73431)+~P1(f317(f28(x73431),x73432))+~P1(f317(f317(f319(x73431),x73433),x73432))+P1(f317(f317(f224(x73431),f317(f57(x73431,f92(x73431)),x73432)),x73433))
% 184.03/183.91 [7595]~P1(f317(f28(x75951),x75953))+~P1(f317(f28(x75951),x75952))+~E(f317(f317(f92(f906(x75951,a895)),x75952),x75953),f178(f906(x75951,a895)))+E(f317(f317(f74(a899),f317(f29(x75951),x75952)),f317(f29(x75951),x75953)),f317(f29(x75951),f317(f317(f91(f906(x75951,a895)),x75952),x75953)))
% 184.03/183.91 [8385]~P36(x83851,x83853)+~P36(x83851,x83852)+~E(f317(f317(f92(f906(x83851,a895)),f317(f254(x83851,x83851),x83852)),f317(f274(x83851,x83851),x83853)),f178(f906(x83851,a895)))+P36(x83851,f317(f317(f91(f906(f905(x83851,x83851),a895)),x83852),x83853))
% 184.03/183.91 [8480]E(x84801,f317(f317(f30(a899),x84802),x84803))+~P1(f317(f317(f225(a899),f2(a899)),x84803))+~P1(f317(f317(f225(a899),x84802),f317(f317(f75(a899),x84803),f317(a102,x84801))))+~P1(f317(f317(f224(a899),f317(f317(f75(a899),x84803),x84801)),x84802))
% 184.03/183.91 [8613]~P1(f317(f28(x86131),x86132))+~P1(f317(f28(x86131),x86133))+E(f317(f317(f74(a899),f317(f29(x86131),x86132)),f317(f29(x86131),x86133)),f317(f29(x86131),f317(f317(f91(f906(x86131,a895)),x86132),x86133)))+P1(f317(f317(f319(x86131),f412(x86133,x86132,x86131)),f317(f317(f92(f906(x86131,a895)),x86132),x86133)))
% 184.03/183.91 [9006]~P128(x90062)+~E(x90061,f2(x90062))+~E(x90063,f2(x90062))+~P1(f317(f317(f225(x90062),f2(x90062)),f317(f317(f74(x90062),f317(f317(f75(x90062),x90063),x90063)),f317(f317(f75(x90062),x90061),x90061))))
% 184.03/183.91 [9535]~P36(x95351,x95353)+~P36(x95351,x95352)+P36(x95351,f317(f317(f91(f906(f905(x95351,x95351),a895)),x95352),x95353))+~P1(f317(f317(f224(f906(f905(x95351,x95351),a895)),f317(f317(f279(x95351,x95351,x95351),x95352),x95353)),x95352))
% 184.03/183.91 [9673]~P1(f317(x96731,x96733))+~P1(f317(f28(x96732),x96733))+P1(f317(x96731,f178(f906(x96732,a895))))+~P1(f317(x96731,f317(f317(f3(f906(x96732,a895)),f406(x96731,x96733,x96732)),f317(f317(f299(x96732),f411(x96731,x96733,x96732)),f178(f906(x96732,a895))))))
% 184.03/183.91 [8789]~P1(f317(f317(f225(a1),f2(a1)),x87893))+P1(f317(f317(f224(a1),f2(a1)),x87891))+~P1(f317(f317(f225(a1),x87892),x87893))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87893),x87891)),x87892)))
% 184.03/183.91 [8813]~P107(x88131)+~P1(f317(f28(x88131),x88132))+E(f317(f317(f3(f906(x88131,a895)),x88132),f317(f317(f299(x88131),x88133),f178(f906(x88131,a895)))),f178(f906(x88131,a895)))+E(f317(f317(f228(x88131),x88133),f16(x88131,f317(f317(f3(f906(x88131,a895)),x88132),f317(f317(f299(x88131),x88133),f178(f906(x88131,a895)))))),f16(x88131,f317(f317(f299(x88131),x88133),x88132)))
% 184.03/183.91 [8814]~P107(x88141)+~P1(f317(f28(x88141),x88142))+E(f317(f317(f3(f906(x88141,a895)),x88142),f317(f317(f299(x88141),x88143),f178(f906(x88141,a895)))),f178(f906(x88141,a895)))+E(f317(f317(f223(x88141),x88143),f17(x88141,f317(f317(f3(f906(x88141,a895)),x88142),f317(f317(f299(x88141),x88143),f178(f906(x88141,a895)))))),f17(x88141,f317(f317(f299(x88141),x88143),x88142)))
% 184.03/183.91 [8815]~P98(x88151)+~P1(f317(f28(x88151),x88152))+E(f317(f317(f3(f906(x88151,a895)),x88152),f317(f317(f299(x88151),x88153),f178(f906(x88151,a895)))),f178(f906(x88151,a895)))+E(f317(f317(f91(x88151),x88153),f12(x88151,f317(f317(f3(f906(x88151,a895)),x88152),f317(f317(f299(x88151),x88153),f178(f906(x88151,a895)))))),f12(x88151,f317(f317(f299(x88151),x88153),x88152)))
% 184.03/183.91 [8816]~P98(x88161)+~P1(f317(f28(x88161),x88162))+E(f317(f317(f3(f906(x88161,a895)),x88162),f317(f317(f299(x88161),x88163),f178(f906(x88161,a895)))),f178(f906(x88161,a895)))+E(f317(f317(f92(x88161),x88163),f13(x88161,f317(f317(f3(f906(x88161,a895)),x88162),f317(f317(f299(x88161),x88163),f178(f906(x88161,a895)))))),f13(x88161,f317(f317(f299(x88161),x88163),x88162)))
% 184.03/183.91 [8888]~P107(x88881)+~P1(f317(f28(x88881),x88882))+E(f317(f317(f3(f906(x88881,a895)),x88882),f317(f317(f299(x88881),x88883),f178(f906(x88881,a895)))),f178(f906(x88881,a895)))+E(f317(f317(f228(x88881),x88883),f14(x88881,f228(x88881),f317(f317(f3(f906(x88881,a895)),x88882),f317(f317(f299(x88881),x88883),f178(f906(x88881,a895)))))),f14(x88881,f228(x88881),f317(f317(f299(x88881),x88883),x88882)))
% 184.03/183.91 [8889]~P107(x88891)+~P1(f317(f28(x88891),x88892))+E(f317(f317(f3(f906(x88891,a895)),x88892),f317(f317(f299(x88891),x88893),f178(f906(x88891,a895)))),f178(f906(x88891,a895)))+E(f317(f317(f223(x88891),x88893),f15(x88891,f223(x88891),f317(f317(f3(f906(x88891,a895)),x88892),f317(f317(f299(x88891),x88893),f178(f906(x88891,a895)))))),f15(x88891,f223(x88891),f317(f317(f299(x88891),x88893),x88892)))
% 184.03/183.91 [9473]E(x94731,x94732)+~E(f317(f132(f900(x94733),f900(x94733),f124(x94733),f103(x94733)),x94731),f317(f132(f900(x94733),f900(x94733),f124(x94733),f103(x94733)),x94732))+~E(f317(f179(f900(f900(x94733))),x94731),f317(f179(f900(f900(x94733))),x94732))+P1(f317(f317(f319(f905(f900(x94733),f900(x94733))),f685(x94732,x94731,x94733)),f317(f162(f905(f900(x94733),f900(x94733))),f317(f317(f171(f900(x94733),f900(x94733)),x94731),x94732))))
% 184.03/183.91 [9474]E(x94741,x94742)+~E(f317(f132(f900(x94743),f900(x94743),f124(x94743),f103(x94743)),x94741),f317(f132(f900(x94743),f900(x94743),f124(x94743),f103(x94743)),x94742))+~E(f317(f179(f900(f900(x94743))),x94741),f317(f179(f900(f900(x94743))),x94742))+P1(f317(f317(f319(f905(f900(x94743),f900(x94743))),f686(x94741,x94742,x94743)),f317(f162(f905(f900(x94743),f900(x94743))),f317(f317(f171(f900(x94743),f900(x94743)),x94742),x94741))))
% 184.03/183.91 [10338]~P77(x103382)+E(x103381,f178(f906(x103382,a895)))+~P1(f317(f28(x103382),x103381))+E(f16(x103382,f317(f252(x103382),f317(f317(f10(f906(x103382,a895),a895,x103382),f81(x103382)),f317(f317(f9(x103382,f906(x103382,a895),f906(x103382,a895)),f317(f317(f10(f906(x103382,f906(a895,a895)),f906(f906(x103382,a895),f906(x103382,a895)),x103382),f20(x103382,a895,a895)),f317(f317(f10(f906(x103382,a895),f906(x103382,f906(a895,a895)),x103382),f317(f10(a895,f906(a895,a895),x103382),a315)),f317(f317(f9(x103382,f906(x103382,x103382),f906(x103382,a895)),f317(f317(f10(f906(x103382,a895),f906(f906(x103382,x103382),f906(x103382,a895)),x103382),f10(x103382,a895,x103382)),a314)),f317(f74(x103382),x103383))))),f317(f317(f9(x103382,f906(x103382,a895),a895),f319(x103382)),x103381))))),f317(f317(f74(x103382),x103383),f16(x103382,x103381)))
% 184.03/183.91 [10339]~P77(x103392)+E(x103391,f178(f906(x103392,a895)))+~P1(f317(f28(x103392),x103391))+E(f17(x103392,f317(f252(x103392),f317(f317(f10(f906(x103392,a895),a895,x103392),f81(x103392)),f317(f317(f9(x103392,f906(x103392,a895),f906(x103392,a895)),f317(f317(f10(f906(x103392,f906(a895,a895)),f906(f906(x103392,a895),f906(x103392,a895)),x103392),f20(x103392,a895,a895)),f317(f317(f10(f906(x103392,a895),f906(x103392,f906(a895,a895)),x103392),f317(f10(a895,f906(a895,a895),x103392),a315)),f317(f317(f9(x103392,f906(x103392,x103392),f906(x103392,a895)),f317(f317(f10(f906(x103392,a895),f906(f906(x103392,x103392),f906(x103392,a895)),x103392),f10(x103392,a895,x103392)),a314)),f317(f74(x103392),x103393))))),f317(f317(f9(x103392,f906(x103392,a895),a895),f319(x103392)),x103391))))),f317(f317(f74(x103392),x103393),f17(x103392,x103391)))
% 184.03/183.91 [10340]~P101(x103402)+E(x103401,f178(f906(x103402,a895)))+~P1(f317(f28(x103402),x103401))+E(f13(x103402,f317(f252(x103402),f317(f317(f10(f906(x103402,a895),a895,x103402),f81(x103402)),f317(f317(f9(x103402,f906(x103402,a895),f906(x103402,a895)),f317(f317(f10(f906(x103402,f906(a895,a895)),f906(f906(x103402,a895),f906(x103402,a895)),x103402),f20(x103402,a895,a895)),f317(f317(f10(f906(x103402,a895),f906(x103402,f906(a895,a895)),x103402),f317(f10(a895,f906(a895,a895),x103402),a315)),f317(f317(f9(x103402,f906(x103402,x103402),f906(x103402,a895)),f317(f317(f10(f906(x103402,a895),f906(f906(x103402,x103402),f906(x103402,a895)),x103402),f10(x103402,a895,x103402)),a314)),f317(f91(x103402),x103403))))),f317(f317(f9(x103402,f906(x103402,a895),a895),f319(x103402)),x103401))))),f317(f317(f91(x103402),x103403),f13(x103402,x103401)))
% 184.03/183.91 [10341]~P101(x103412)+E(x103411,f178(f906(x103412,a895)))+~P1(f317(f28(x103412),x103411))+E(f12(x103412,f317(f252(x103412),f317(f317(f10(f906(x103412,a895),a895,x103412),f81(x103412)),f317(f317(f9(x103412,f906(x103412,a895),f906(x103412,a895)),f317(f317(f10(f906(x103412,f906(a895,a895)),f906(f906(x103412,a895),f906(x103412,a895)),x103412),f20(x103412,a895,a895)),f317(f317(f10(f906(x103412,a895),f906(x103412,f906(a895,a895)),x103412),f317(f10(a895,f906(a895,a895),x103412),a315)),f317(f317(f9(x103412,f906(x103412,x103412),f906(x103412,a895)),f317(f317(f10(f906(x103412,a895),f906(f906(x103412,x103412),f906(x103412,a895)),x103412),f10(x103412,a895,x103412)),a314)),f317(f92(x103412),x103413))))),f317(f317(f9(x103412,f906(x103412,a895),a895),f319(x103412)),x103411))))),f317(f317(f92(x103412),x103413),f12(x103412,x103411)))
% 184.03/183.91 [10342]~P107(x103422)+E(x103421,f178(f906(x103422,a895)))+~P1(f317(f28(x103422),x103421))+E(f15(x103422,f223(x103422),f317(f252(x103422),f317(f317(f10(f906(x103422,a895),a895,x103422),f81(x103422)),f317(f317(f9(x103422,f906(x103422,a895),f906(x103422,a895)),f317(f317(f10(f906(x103422,f906(a895,a895)),f906(f906(x103422,a895),f906(x103422,a895)),x103422),f20(x103422,a895,a895)),f317(f317(f10(f906(x103422,a895),f906(x103422,f906(a895,a895)),x103422),f317(f10(a895,f906(a895,a895),x103422),a315)),f317(f317(f9(x103422,f906(x103422,x103422),f906(x103422,a895)),f317(f317(f10(f906(x103422,a895),f906(f906(x103422,x103422),f906(x103422,a895)),x103422),f10(x103422,a895,x103422)),a314)),f317(f228(x103422),x103423))))),f317(f317(f9(x103422,f906(x103422,a895),a895),f319(x103422)),x103421))))),f317(f317(f228(x103422),x103423),f15(x103422,f223(x103422),x103421)))
% 184.03/183.91 [10343]~P107(x103432)+E(x103431,f178(f906(x103432,a895)))+~P1(f317(f28(x103432),x103431))+E(f14(x103432,f228(x103432),f317(f252(x103432),f317(f317(f10(f906(x103432,a895),a895,x103432),f81(x103432)),f317(f317(f9(x103432,f906(x103432,a895),f906(x103432,a895)),f317(f317(f10(f906(x103432,f906(a895,a895)),f906(f906(x103432,a895),f906(x103432,a895)),x103432),f20(x103432,a895,a895)),f317(f317(f10(f906(x103432,a895),f906(x103432,f906(a895,a895)),x103432),f317(f10(a895,f906(a895,a895),x103432),a315)),f317(f317(f9(x103432,f906(x103432,x103432),f906(x103432,a895)),f317(f317(f10(f906(x103432,a895),f906(f906(x103432,x103432),f906(x103432,a895)),x103432),f10(x103432,a895,x103432)),a314)),f317(f223(x103432),x103433))))),f317(f317(f9(x103432,f906(x103432,a895),a895),f319(x103432)),x103431))))),f317(f317(f223(x103432),x103433),f14(x103432,f228(x103432),x103431)))
% 184.03/183.91 [10057]~P113(x100571)+~E(x100573,f2(x100571))+~E(x100572,f2(x100571))+E(f317(f317(f74(x100571),f317(f317(f234(x100571),x100572),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x100571),x100573),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x100571))
% 184.03/183.91 [10210]~P112(x102101)+~P1(f317(f317(f224(x102101),f2(x102101)),x102103))+P1(f317(f317(f224(x102101),x102102),x102103))+~P1(f317(f317(f224(x102101),f317(f317(f234(x102101),x102102),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102101),x102103),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))))
% 184.03/183.91 [10267]~P113(x102672)+~E(x102671,f2(x102672))+~E(x102673,f2(x102672))+~P1(f317(f317(f225(x102672),f2(x102672)),f317(f317(f74(x102672),f317(f317(f234(x102672),x102673),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102672),x102671),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))))
% 184.03/183.91 [6803]~P7(x68033,x68032)+~P1(f317(x68031,x68034))+~P1(f317(f317(f319(x68033),x68034),f260(x68033,x68032)))+P1(f317(x68031,f806(x68031,x68032,x68033)))
% 184.03/183.91 [8724]P25(x87241,x87242,f810(x87243,x87242,x87244,x87241),x87244,x87243)+~E(f317(f29(x87241),x87244),f317(f29(x87242),x87243))+~P1(f317(f28(x87242),x87243))+~P1(f317(f28(x87241),x87244))
% 184.03/183.91 [9436]E(x94361,x94362)+~E(f631(x94361,x94362,x94364,x94363),f633(x94361,x94362,x94364,x94363))+P1(f317(f317(f319(f905(f900(x94363),f900(x94363))),f317(f317(f242(f900(x94363),f900(x94363)),x94362),x94361)),f137(x94363,x94364)))+P1(f317(f317(f319(f905(f900(x94363),f900(x94363))),f317(f317(f242(f900(x94363),f900(x94363)),x94361),x94362)),f137(x94363,x94364)))
% 184.03/183.91 [4916]~P61(x49162)+~E(x49164,f2(x49162))+~E(x49161,f2(x49162))+E(x49161,f317(f317(f281(x49162),x49163),x49164))
% 184.03/183.91 [4917]~P61(x49171)+~E(x49173,f2(x49171))+~E(x49174,f2(x49171))+E(f317(f317(f281(x49171),x49172),x49173),x49174)
% 184.03/183.91 [5037]~P61(x50372)+E(x50371,f2(x50372))+~E(x50373,f2(x50372))+~E(x50371,f317(f317(f281(x50372),x50374),x50373))
% 184.03/183.91 [5038]~P61(x50382)+E(x50381,f2(x50382))+~E(x50383,f2(x50382))+~E(f317(f317(f281(x50382),x50384),x50383),x50381)
% 184.03/183.91 [5221]~P124(x52212)+E(x52211,f2(x52212))+~E(f317(f317(f281(x52212),x52213),x52211),x52214)+E(x52213,f317(f317(f75(x52212),x52214),x52211))
% 184.03/183.91 [5223]~P124(x52232)+E(x52231,f2(x52232))+~E(f317(f317(f75(x52232),x52233),x52231),x52234)+E(x52233,f317(f317(f281(x52232),x52234),x52231))
% 184.03/183.91 [5224]~P61(x52242)+E(x52241,f2(x52242))+~E(f317(f317(f281(x52242),x52243),x52241),x52244)+E(x52243,f317(f317(f75(x52242),x52244),x52241))
% 184.03/183.91 [5225]~P61(x52252)+E(x52251,f2(x52252))+~E(f317(f317(f75(x52252),x52253),x52251),x52254)+E(x52253,f317(f317(f281(x52252),x52254),x52251))
% 184.03/183.91 [5226]~P124(x52262)+E(x52261,f2(x52262))+~E(x52263,f317(f317(f281(x52262),x52264),x52261))+E(f317(f317(f75(x52262),x52263),x52261),x52264)
% 184.03/183.91 [5228]~P124(x52282)+E(x52281,f2(x52282))+~E(x52283,f317(f317(f75(x52282),x52284),x52281))+E(f317(f317(f281(x52282),x52283),x52281),x52284)
% 184.03/183.91 [5229]~P61(x52292)+E(x52291,f2(x52292))+~E(x52293,f317(f317(f281(x52292),x52294),x52291))+E(f317(f317(f75(x52292),x52293),x52291),x52294)
% 184.03/183.91 [5230]~P61(x52302)+E(x52301,f2(x52302))+~E(x52303,f317(f317(f75(x52302),x52304),x52301))+E(f317(f317(f281(x52302),x52303),x52301),x52304)
% 184.03/183.91 [5254]~P61(x52542)+~E(x52541,f2(x52542))+~E(f317(f317(f75(x52542),x52541),x52544),x52543)+E(x52541,f317(f317(f281(x52542),x52543),x52544))
% 184.03/183.91 [5255]~P61(x52551)+~E(x52554,f2(x52551))+~E(x52552,f317(f317(f75(x52551),x52554),x52553))+E(f317(f317(f281(x52551),x52552),x52553),x52554)
% 184.03/183.91 [5329]~E(x53293,x53294)+~E(x53292,x53293)+~P109(x53291)+E(f293(x53291,x53292,x53293),f317(f317(f299(x53291),x53294),f178(f906(x53291,a895))))
% 184.03/183.91 [5533]~E(f104(x55332,x55331),x55333)+~E(f134(x55332,x55331),x55334)+E(x55331,f103(x55332))+E(f317(f317(f124(x55332),x55333),f317(f317(f141(x55332),x55334),f103(x55332))),x55331)
% 184.03/183.91 [6176]~P112(x61763)+E(x61761,x61762)+~E(f317(f317(f234(x61763),x61764),x61761),f317(f317(f234(x61763),x61764),x61762))+~P1(f317(f317(f225(x61763),f72(x61763)),x61764))
% 184.03/183.91 [6177]E(x61771,x61772)+~E(f317(f317(f299(x61773),x61774),x61771),f317(f317(f299(x61773),x61774),x61772))+P1(f317(f317(f319(x61773),x61774),x61772))+P1(f317(f317(f319(x61773),x61774),x61771))
% 184.03/183.91 [6220]E(f317(x62201,x62202),f72(a899))+~E(f317(f317(f11(x62203,a899),x62201),x62204),f72(a899))+~P1(f317(f28(x62203),x62204))+~P1(f317(f317(f319(x62203),x62202),x62204))
% 184.03/183.91 [6221]E(f317(x62211,x62212),f2(a899))+~E(f317(f317(f8(x62213,a899),x62211),x62214),f2(a899))+~P1(f317(f28(x62213),x62214))+~P1(f317(f317(f319(x62213),x62212),x62214))
% 184.03/183.91 [6448]~P109(x64481)+~P1(f317(f317(f224(x64481),x64484),x64483))+P1(f317(f317(f224(x64481),x64482),x64483))+~P1(f317(f317(f224(x64481),x64482),x64484))
% 184.03/183.91 [6449]~P106(x64491)+~P1(f317(f317(f224(x64491),x64492),x64494))+P1(f317(f317(f224(x64491),x64492),x64493))+~P1(f317(f317(f224(x64491),x64494),x64493))
% 184.03/183.91 [6450]~P109(x64501)+~P1(f317(f317(f225(x64501),x64504),x64503))+P1(f317(f317(f225(x64501),x64502),x64503))+~P1(f317(f317(f224(x64501),x64502),x64504))
% 184.03/183.91 [6451]~P109(x64511)+~P1(f317(f317(f225(x64511),x64512),x64514))+P1(f317(f317(f225(x64511),x64512),x64513))+~P1(f317(f317(f224(x64511),x64514),x64513))
% 184.03/183.91 [6452]~P109(x64521)+~P1(f317(f317(f225(x64521),x64524),x64523))+P1(f317(f317(f225(x64521),x64522),x64523))+~P1(f317(f317(f225(x64521),x64522),x64524))
% 184.03/183.91 [6453]~P106(x64531)+~P1(f317(f317(f225(x64531),x64532),x64534))+P1(f317(f317(f225(x64531),x64532),x64533))+~P1(f317(f317(f224(x64531),x64534),x64533))
% 184.03/183.91 [6454]~P106(x64541)+~P1(f317(f317(f225(x64541),x64544),x64543))+P1(f317(f317(f225(x64541),x64542),x64543))+~P1(f317(f317(f224(x64541),x64542),x64544))
% 184.03/183.91 [6455]~P106(x64551)+~P1(f317(f317(f225(x64551),x64552),x64554))+P1(f317(f317(f225(x64551),x64552),x64553))+~P1(f317(f317(f225(x64551),x64554),x64553))
% 184.03/183.91 [6456]~P120(x64561)+~P1(f317(f317(f277(x64561),x64562),x64564))+P1(f317(f317(f277(x64561),x64562),x64563))+~P1(f317(f317(f277(x64561),x64564),x64563))
% 184.03/183.91 [6538]~P34(x65384,x65383,x65382)+E(x65381,f746(x65382,x65383,x65384))+~P1(f317(x65383,x65381))+~P1(f317(f317(f319(x65384),x65381),f317(f162(x65384),x65382)))
% 184.03/183.91 [6539]~P34(x65394,x65393,x65392)+E(x65391,f749(x65392,x65393,x65394))+~P1(f317(x65393,x65391))+~P1(f317(f317(f319(x65394),x65391),f317(f162(x65394),x65392)))
% 184.03/183.91 [6693]~P5(x66931)+~P1(f317(f317(f224(x66931),x66932),f32(x66931,x66934)))+P1(f317(f317(f224(x66931),x66932),x66933))+~P1(f317(f317(f319(x66931),x66933),x66934))
% 184.03/183.91 [6845]~P107(x68451)+~P13(x68451,f317(f317(f141(x68451),x68452),x68454))+~P1(f317(f317(f319(x68451),x68453),f317(f162(x68451),x68454)))+P1(f317(f317(f224(x68451),x68452),x68453))
% 184.03/183.91 [6935]~P5(x69351)+~P1(f317(f317(f224(x69351),f31(x69351,x69354)),x69353))+P1(f317(f317(f224(x69351),x69352),x69353))+~P1(f317(f317(f319(x69351),x69352),x69354))
% 184.03/183.91 [7081]~P3(x70811)+P1(f317(f317(f277(x70811),x70812),f40(x70811,x70813,x70814)))+~P1(f317(f317(f277(x70811),x70812),x70814))+~P1(f317(f317(f277(x70811),x70812),x70813))
% 184.03/183.91 [7345]~P107(x73451)+E(f317(f317(f91(f906(x73451,a895)),f317(f292(x73451,x73452),x73453)),f317(f292(x73451,x73453),x73454)),f317(f292(x73451,x73452),x73454))+~P1(f317(f317(f224(x73451),x73453),x73454))+~P1(f317(f317(f224(x73451),x73452),x73453))
% 184.03/183.91 [7389]P34(x73891,x73892,x73893)+~E(f750(x73893,x73892,x73891,x73894),x73894)+~P1(f317(x73892,x73894))+~P1(f317(f317(f319(x73891),x73894),f317(f162(x73891),x73893)))
% 184.03/183.91 [7390]P34(x73901,x73902,x73903)+~E(f758(x73903,x73902,x73901,x73904),x73904)+~P1(f317(x73902,x73904))+~P1(f317(f317(f319(x73901),x73904),f317(f162(x73901),x73903)))
% 184.03/183.91 [7433]~P3(x74331)+~P1(f317(f317(f277(x74331),x74332),f40(x74331,x74333,x74334)))+P1(f317(f317(f277(x74331),x74332),x74333))+~P1(f317(f317(f277(x74331),x74332),x74334))
% 184.03/183.91 [7467]~P107(x74671)+E(f317(f317(f91(f906(x74671,a895)),f317(f292(x74671,x74672),x74673)),f293(x74671,x74673,x74674)),f293(x74671,x74672,x74674))+~P1(f317(f317(f224(x74671),x74673),x74674))+~P1(f317(f317(f224(x74671),x74672),x74673))
% 184.03/183.91 [7529]~P107(x75291)+E(f317(f317(f91(f906(x75291,a895)),f296(x75291,x75292,x75293)),f317(f292(x75291,x75293),x75294)),f296(x75291,x75292,x75294))+~P1(f317(f317(f224(x75291),x75293),x75294))+~P1(f317(f317(f225(x75291),x75292),x75293))
% 184.03/183.91 [7546]~P107(x75461)+E(f317(f317(f91(f906(x75461,a895)),f293(x75461,x75462,x75463)),f296(x75461,x75463,x75464)),f317(f292(x75461,x75462),x75464))+~P1(f317(f317(f224(x75461),x75462),x75463))+~P1(f317(f317(f225(x75461),x75463),x75464))
% 184.03/183.91 [7576]~P107(x75761)+E(f317(f317(f91(f906(x75761,a895)),f296(x75761,x75762,x75763)),f293(x75761,x75763,x75764)),f295(x75761,x75762,x75764))+~P1(f317(f317(f224(x75761),x75763),x75764))+~P1(f317(f317(f225(x75761),x75762),x75763))
% 184.03/183.91 [7577]~P107(x75771)+E(f317(f317(f91(f906(x75771,a895)),f293(x75771,x75772,x75773)),f295(x75771,x75773,x75774)),f293(x75771,x75772,x75774))+~P1(f317(f317(f224(x75771),x75773),x75774))+~P1(f317(f317(f224(x75771),x75772),x75773))
% 184.03/183.91 [7578]~P107(x75781)+E(f317(f317(f91(f906(x75781,a895)),f295(x75781,x75782,x75783)),f296(x75781,x75783,x75784)),f296(x75781,x75782,x75784))+~P1(f317(f317(f224(x75781),x75782),x75783))+~P1(f317(f317(f225(x75781),x75783),x75784))
% 184.03/183.91 [7579]~P107(x75791)+E(f317(f317(f91(f906(x75791,a895)),f295(x75791,x75792,x75793)),f295(x75791,x75793,x75794)),f295(x75791,x75792,x75794))+~P1(f317(f317(f224(x75791),x75793),x75794))+~P1(f317(f317(f224(x75791),x75792),x75793))
% 184.03/183.91 [8369]P24(x83691,x83692,f515(x83693,x83692,x83694,x83691),x83694)+~P1(f317(f28(x83692),x83693))+~P1(f317(f28(x83691),x83694))+~P1(f317(f317(f224(a899),f317(f29(x83691),x83694)),f317(f29(x83692),x83693)))
% 184.03/183.91 [8390]P34(x83901,x83902,x83903)+~P1(f317(x83902,x83904))+P1(f317(x83902,f750(x83903,x83902,x83901,x83904)))+~P1(f317(f317(f319(x83901),x83904),f317(f162(x83901),x83903)))
% 184.03/183.91 [8391]P34(x83911,x83912,x83913)+~P1(f317(x83912,x83914))+P1(f317(x83912,f758(x83913,x83912,x83911,x83914)))+~P1(f317(f317(f319(x83911),x83914),f317(f162(x83911),x83913)))
% 184.03/183.91 [8445]~P74(x84451)+~E(f317(x84453,f426(x84453,x84454,x84452,x84451)),f72(x84451))+E(f317(f317(f317(f59(x84451,x84452,f75(x84451)),x84453),f72(x84451)),x84454),f72(x84451))+~P1(f317(f28(x84452),x84454))
% 184.03/183.91 [8713]~P112(x87131)+~P1(f317(f317(f224(x87131),f2(x87131)),x87133))+P1(f317(f317(f224(x87131),x87132),x87133))+~P1(f317(f317(f224(x87131),f317(f317(f234(x87131),x87132),f317(a102,x87134))),f317(f317(f234(x87131),x87133),f317(a102,x87134))))
% 184.03/183.91 [9031]P34(x90311,x90312,x90313)+~P1(f317(x90312,x90314))+~P1(f317(f317(f319(x90311),x90314),f317(f162(x90311),x90313)))+P1(f317(f317(f319(x90311),f750(x90313,x90312,x90311,x90314)),f317(f162(x90311),x90313)))
% 184.03/183.91 [9032]P34(x90321,x90322,x90323)+~P1(f317(x90322,x90324))+~P1(f317(f317(f319(x90321),x90324),f317(f162(x90321),x90323)))+P1(f317(f317(f319(x90321),f758(x90323,x90322,x90321,x90324)),f317(f162(x90321),x90323)))
% 184.03/183.91 [9108]~P74(x91081)+E(f317(f317(f317(f59(x91081,x91082,f75(x91081)),x91083),f72(x91081)),x91084),f72(x91081))+~P1(f317(f28(x91082),x91084))+P1(f317(f317(f319(x91082),f426(x91083,x91084,x91082,x91081)),x91084))
% 184.03/183.91 [9610]~P1(f317(f317(f277(a899),x96101),x96103))+~P1(f317(f317(f277(a899),x96101),x96102))+~P1(f317(f317(f277(a899),x96104),x96103))+~P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x96101,x96103)),f280(a899,f277(a899),x96102,x96104)))
% 184.03/183.91 [9615]~P1(f317(f317(f224(a1),x96154),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96151),f40(a1,x96152,x96153))),x96154)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x96153))+~P1(f317(f317(f225(a1),x96151),x96154))
% 184.03/183.91 [10050]~P1(f317(f28(x100501),x100502))+~P1(f317(f317(f319(x100501),x100504),x100502))+~P1(f317(f317(f319(x100501),x100503),x100502))+P1(f317(f317(f225(a899),f317(f29(x100501),f317(f317(f3(f906(x100501,a895)),f317(f317(f3(f906(x100501,a895)),x100502),f317(f317(f299(x100501),x100503),f178(f906(x100501,a895))))),f317(f317(f299(x100501),x100504),f178(f906(x100501,a895)))))),f317(f29(x100501),x100502)))
% 184.03/183.91 [6993]~P146(x69933)+~P123(x69933)+P1(f317(x69931,f842(x69932,x69931,x69933)))+~P1(f317(x69931,f317(f317(f75(x69933),x69932),x69934)))
% 184.03/183.91 [7053]~P107(x70531)+~P1(f317(f317(f224(x70531),x70532),x70534))+~P1(f317(f317(f224(x70531),x70532),x70533))+P1(f317(f317(f224(x70531),x70532),f317(f317(f228(x70531),x70533),x70534)))
% 184.03/183.91 [7056]~P103(x70561)+~P1(f317(f317(f224(x70561),x70562),x70564))+~P1(f317(f317(f224(x70561),x70562),x70563))+P1(f317(f317(f224(x70561),x70562),f317(f317(f92(x70561),x70563),x70564)))
% 184.03/183.91 [7057]~P107(x70571)+~P1(f317(f317(f225(x70571),x70572),x70574))+~P1(f317(f317(f225(x70571),x70572),x70573))+P1(f317(f317(f225(x70571),x70572),f317(f317(f228(x70571),x70573),x70574)))
% 184.03/183.91 [7058]~P118(x70581)+~P1(f317(f317(f277(x70581),x70582),x70584))+~P1(f317(f317(f277(x70581),x70582),x70583))+P1(f317(f317(f277(x70581),x70582),f317(f317(f3(x70581),x70583),x70584)))
% 184.03/183.91 [7059]~P120(x70591)+~P1(f317(f317(f277(x70591),x70592),x70594))+~P1(f317(f317(f277(x70591),x70592),x70593))+P1(f317(f317(f277(x70591),x70592),f317(f317(f74(x70591),x70593),x70594)))
% 184.03/183.91 [7079]~P62(x70792)+E(x70791,f2(x70792))+E(f317(f317(f281(x70792),f317(f317(f234(x70792),x70791),x70793)),f317(f317(f234(x70792),x70791),x70794)),f317(f317(f234(x70792),x70791),f317(f317(f3(a899),x70793),x70794)))+~P1(f317(f317(f224(a899),x70794),x70793))
% 184.03/183.91 [7125]~P107(x71251)+~P13(x71251,f317(f317(f141(x71251),x71253),x71254))+P13(x71251,f317(f317(f141(x71251),x71252),f317(f317(f141(x71251),x71253),x71254)))+~P1(f317(f317(f224(x71251),x71252),x71253))
% 184.03/183.91 [7161]~P87(x71611)+~P1(f317(f317(f224(x71611),f2(x71611)),x71614))+~P1(f317(f317(f224(x71611),x71612),x71613))+P1(f317(f317(f224(x71611),x71612),f317(f317(f74(x71611),x71613),x71614)))
% 184.03/183.91 [7162]~P87(x71621)+~P1(f317(f317(f224(x71621),f2(x71621)),x71623))+~P1(f317(f317(f224(x71621),x71622),x71624))+P1(f317(f317(f224(x71621),x71622),f317(f317(f74(x71621),x71623),x71624)))
% 184.03/183.91 [7163]~P112(x71631)+~P1(f317(f317(f225(x71631),f2(x71631)),x71633))+~P1(f317(f317(f225(x71631),x71632),x71634))+P1(f317(f317(f225(x71631),x71632),f317(f317(f74(x71631),x71633),x71634)))
% 184.03/183.91 [7164]~P87(x71641)+~P1(f317(f317(f224(x71641),x71642),x71644))+~P1(f317(f317(f225(x71641),f2(x71641)),x71643))+P1(f317(f317(f225(x71641),x71642),f317(f317(f74(x71641),x71643),x71644)))
% 184.03/183.91 [7165]~P87(x71651)+~P1(f317(f317(f224(x71651),f2(x71651)),x71653))+~P1(f317(f317(f225(x71651),x71652),x71654))+P1(f317(f317(f225(x71651),x71652),f317(f317(f74(x71651),x71653),x71654)))
% 184.03/183.91 [7206]~P107(x72061)+P1(f317(f317(f224(x72061),x72062),x72063))+P1(f317(f317(f224(x72061),x72062),x72064))+~P1(f317(f317(f224(x72061),x72062),f317(f317(f223(x72061),x72064),x72063)))
% 184.03/183.91 [7207]~P107(x72071)+P1(f317(f317(f225(x72071),x72072),x72073))+P1(f317(f317(f225(x72071),x72072),x72074))+~P1(f317(f317(f225(x72071),x72072),f317(f317(f223(x72071),x72074),x72073)))
% 184.03/183.91 [7501]~P109(x75012)+~P60(x75011)+~P1(f317(f317(f225(f906(x75011,x75012)),x75013),x75014))+P1(f317(f317(f224(f906(x75011,x75012)),x75013),x75014))
% 184.03/183.91 [7867]~P64(x78671)+~P1(f317(f317(f225(x78671),x78674),f2(x78671)))+~P1(f317(f317(f224(x78671),x78673),f317(f317(f281(x78671),x78672),x78674)))+P1(f317(f317(f224(x78671),x78672),f317(f317(f75(x78671),x78673),x78674)))
% 184.03/183.91 [7868]~P64(x78681)+~P1(f317(f317(f225(x78681),x78684),f2(x78681)))+~P1(f317(f317(f224(x78681),x78683),f317(f317(f75(x78681),x78682),x78684)))+P1(f317(f317(f224(x78681),x78682),f317(f317(f281(x78681),x78683),x78684)))
% 184.03/183.91 [7869]~P64(x78691)+~P1(f317(f317(f225(x78691),x78694),f2(x78691)))+~P1(f317(f317(f225(x78691),x78693),f317(f317(f281(x78691),x78692),x78694)))+P1(f317(f317(f225(x78691),x78692),f317(f317(f75(x78691),x78693),x78694)))
% 184.03/183.91 [7870]~P64(x78701)+~P1(f317(f317(f225(x78701),x78704),f2(x78701)))+~P1(f317(f317(f225(x78701),x78703),f317(f317(f75(x78701),x78702),x78704)))+P1(f317(f317(f225(x78701),x78702),f317(f317(f281(x78701),x78703),x78704)))
% 184.03/183.91 [7977]~P111(x79771)+~P1(f317(f317(f224(x79771),x79772),f2(x79771)))+~P1(f317(f317(f224(x79771),x79774),x79773))+P1(f317(f317(f224(x79771),f317(f317(f75(x79771),x79772),x79773)),f317(f317(f75(x79771),x79772),x79774)))
% 184.03/183.91 [7978]~P128(x79781)+~P1(f317(f317(f225(x79781),x79782),f2(x79781)))+~P1(f317(f317(f224(x79781),x79784),x79783))+P1(f317(f317(f224(x79781),f317(f317(f75(x79781),x79782),x79783)),f317(f317(f75(x79781),x79782),x79784)))
% 184.03/183.91 [7979]~P111(x79791)+~P1(f317(f317(f224(x79791),x79793),f2(x79791)))+~P1(f317(f317(f224(x79791),x79794),x79792))+P1(f317(f317(f224(x79791),f317(f317(f75(x79791),x79792),x79793)),f317(f317(f75(x79791),x79794),x79793)))
% 184.03/183.91 [7980]~P63(x79801)+~P1(f317(f317(f224(x79801),x79803),f2(x79801)))+~P1(f317(f317(f224(x79801),x79804),x79802))+P1(f317(f317(f224(x79801),f317(f317(f281(x79801),x79802),x79803)),f317(f317(f281(x79801),x79804),x79803)))
% 184.03/183.91 [7984]~P128(x79841)+~P1(f317(f317(f225(x79841),x79843),f2(x79841)))+~P1(f317(f317(f225(x79841),x79844),x79842))+P1(f317(f317(f225(x79841),f317(f317(f75(x79841),x79842),x79843)),f317(f317(f75(x79841),x79844),x79843)))
% 184.03/183.91 [7985]~P128(x79851)+~P1(f317(f317(f225(x79851),x79852),f2(x79851)))+~P1(f317(f317(f225(x79851),x79854),x79853))+P1(f317(f317(f225(x79851),f317(f317(f75(x79851),x79852),x79853)),f317(f317(f75(x79851),x79852),x79854)))
% 184.03/183.91 [7986]~P64(x79861)+~P1(f317(f317(f225(x79861),x79863),f2(x79861)))+~P1(f317(f317(f225(x79861),x79864),x79862))+P1(f317(f317(f225(x79861),f317(f317(f281(x79861),x79862),x79863)),f317(f317(f281(x79861),x79864),x79863)))
% 184.03/183.91 [7987]~P112(x79871)+~P1(f317(f317(f225(x79871),f72(x79871)),x79872))+~P1(f317(f317(f224(a899),x79873),x79874))+P1(f317(f317(f224(x79871),f317(f317(f234(x79871),x79872),x79873)),f317(f317(f234(x79871),x79872),x79874)))
% 184.03/183.91 [7988]~P112(x79881)+~P1(f317(f317(f224(x79881),f72(x79881)),x79882))+~P1(f317(f317(f224(a899),x79883),x79884))+P1(f317(f317(f224(x79881),f317(f317(f234(x79881),x79882),x79883)),f317(f317(f234(x79881),x79882),x79884)))
% 184.03/183.91 [7990]~P112(x79901)+~P1(f317(f317(f225(x79901),f72(x79901)),x79902))+~P1(f317(f317(f225(a899),x79903),x79904))+P1(f317(f317(f225(x79901),f317(f317(f234(x79901),x79902),x79903)),f317(f317(f234(x79901),x79902),x79904)))
% 184.03/183.91 [8017]P1(f317(f317(f225(a899),f2(a899)),f317(x80171,x80172)))+~P1(f317(f28(x80173),x80174))+~P1(f317(f317(f319(x80173),x80172),x80174))+~P1(f317(f317(f225(a899),f2(a899)),f317(f317(f11(x80173,a899),x80171),x80174)))
% 184.03/183.91 [8026]~P128(x80261)+~P1(f317(f317(f225(x80261),f2(x80261)),x80262))+~P1(f317(f317(f224(x80261),x80263),x80264))+P1(f317(f317(f224(x80261),f317(f317(f75(x80261),x80262),x80263)),f317(f317(f75(x80261),x80262),x80264)))
% 184.03/183.91 [8027]~P137(x80271)+~P1(f317(f317(f224(x80271),x80273),x80274))+~P1(f317(f317(f224(x80271),f2(x80271)),x80272))+P1(f317(f317(f224(x80271),f317(f317(f75(x80271),x80272),x80273)),f317(f317(f75(x80271),x80272),x80274)))
% 184.03/183.91 [8028]~P136(x80281)+~P1(f317(f317(f224(x80281),x80283),x80284))+~P1(f317(f317(f224(x80281),f2(x80281)),x80282))+P1(f317(f317(f224(x80281),f317(f317(f75(x80281),x80282),x80283)),f317(f317(f75(x80281),x80282),x80284)))
% 184.03/183.91 [8029]~P137(x80291)+~P1(f317(f317(f224(x80291),x80292),x80294))+~P1(f317(f317(f224(x80291),f2(x80291)),x80293))+P1(f317(f317(f224(x80291),f317(f317(f75(x80291),x80292),x80293)),f317(f317(f75(x80291),x80294),x80293)))
% 184.03/183.91 [8030]~P63(x80301)+~P1(f317(f317(f224(x80301),x80302),x80304))+~P1(f317(f317(f224(x80301),f2(x80301)),x80303))+P1(f317(f317(f224(x80301),f317(f317(f281(x80301),x80302),x80303)),f317(f317(f281(x80301),x80304),x80303)))
% 184.03/183.91 [8031]~P112(x80311)+~P1(f317(f317(f224(x80311),x80312),x80314))+~P1(f317(f317(f224(x80311),f2(x80311)),x80312))+P1(f317(f317(f224(x80311),f317(f317(f234(x80311),x80312),x80313)),f317(f317(f234(x80311),x80314),x80313)))
% 184.03/183.91 [8033]~P121(x80331)+~P1(f317(f317(f225(x80331),x80333),x80334))+~P1(f317(f317(f225(x80331),f2(x80331)),x80332))+P1(f317(f317(f225(x80331),f317(f317(f75(x80331),x80332),x80333)),f317(f317(f75(x80331),x80332),x80334)))
% 184.03/183.91 [8034]~P133(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)))
% 184.03/183.91 [8035]~P128(x80351)+~P1(f317(f317(f225(x80351),x80352),x80354))+~P1(f317(f317(f225(x80351),f2(x80351)),x80353))+P1(f317(f317(f225(x80351),f317(f317(f75(x80351),x80352),x80353)),f317(f317(f75(x80351),x80354),x80353)))
% 184.03/183.91 [8036]~P133(x80361)+~P1(f317(f317(f225(x80361),x80362),x80364))+~P1(f317(f317(f225(x80361),f2(x80361)),x80363))+P1(f317(f317(f225(x80361),f317(f317(f75(x80361),x80362),x80363)),f317(f317(f75(x80361),x80364),x80363)))
% 184.03/183.91 [8037]~P128(x80371)+~P1(f317(f317(f225(x80371),x80373),x80374))+~P1(f317(f317(f225(x80371),f2(x80371)),x80372))+P1(f317(f317(f225(x80371),f317(f317(f75(x80371),x80372),x80373)),f317(f317(f75(x80371),x80372),x80374)))
% 184.03/183.91 [8038]~P64(x80381)+~P1(f317(f317(f225(x80381),x80382),x80384))+~P1(f317(f317(f225(x80381),f2(x80381)),x80383))+P1(f317(f317(f225(x80381),f317(f317(f281(x80381),x80382),x80383)),f317(f317(f281(x80381),x80384),x80383)))
% 184.03/183.91 [8080]~P108(x80802)+P1(f317(f317(f225(f906(x80801,x80802)),x80804),x80803))+~P1(f317(f317(f224(f906(x80801,x80802)),x80804),x80803))+P1(f317(f317(f224(f906(x80801,x80802)),x80803),x80804))
% 184.03/183.91 [8120]P1(f317(f317(f319(x81201),x81202),x81203))+P1(f317(f317(f319(x81201),x81202),x81204))+~P1(f317(f317(f224(f906(x81201,a895)),x81204),x81203))+P1(f317(f317(f225(f906(x81201,a895)),x81204),f317(f317(f299(x81201),x81202),x81203)))
% 184.03/183.91 [8231]~P122(x82312)+E(x82311,f2(x82312))+P1(f317(f317(f277(x82312),x82313),x82314))+~P1(f317(f317(f277(x82312),f317(f317(f75(x82312),x82313),x82311)),f317(f317(f75(x82312),x82314),x82311)))
% 184.03/183.91 [8232]~P122(x82322)+E(x82321,f2(x82322))+P1(f317(f317(f277(x82322),x82323),x82324))+~P1(f317(f317(f277(x82322),f317(f317(f75(x82322),x82321),x82323)),f317(f317(f75(x82322),x82321),x82324)))
% 184.03/183.91 [8281]P1(f317(f317(f319(x82811),x82812),x82813))+P1(f317(f317(f319(x82811),x82812),x82814))+~P1(f317(f317(f225(f906(x82811,a895)),x82814),f317(f317(f299(x82811),x82812),x82813)))+P1(f317(f317(f224(f906(x82811,a895)),x82814),x82813))
% 184.03/183.91 [8346]~P128(x83461)+P1(f317(f317(f225(x83461),x83463),x83462))+P1(f317(f317(f225(x83461),x83462),x83463))+~P1(f317(f317(f225(x83461),f317(f317(f75(x83461),x83464),x83462)),f317(f317(f75(x83461),x83464),x83463)))
% 184.03/183.91 [8347]~P128(x83471)+P1(f317(f317(f225(x83471),x83473),x83472))+P1(f317(f317(f225(x83471),x83472),x83473))+~P1(f317(f317(f225(x83471),f317(f317(f75(x83471),x83472),x83474)),f317(f317(f75(x83471),x83473),x83474)))
% 184.03/183.91 [8359]~P128(x83591)+P1(f317(f317(f225(x83591),x83594),f2(x83591)))+P1(f317(f317(f225(x83591),x83592),x83593))+~P1(f317(f317(f225(x83591),f317(f317(f75(x83591),x83592),x83594)),f317(f317(f75(x83591),x83593),x83594)))
% 184.03/183.91 [8360]~P128(x83601)+P1(f317(f317(f225(x83601),x83604),f2(x83601)))+P1(f317(f317(f225(x83601),x83602),x83603))+~P1(f317(f317(f225(x83601),f317(f317(f75(x83601),x83604),x83602)),f317(f317(f75(x83601),x83604),x83603)))
% 184.03/183.91 [8363]~P128(x83631)+P1(f317(f317(f225(x83631),x83632),x83633))+P1(f317(f317(f225(x83631),f2(x83631)),x83634))+~P1(f317(f317(f225(x83631),f317(f317(f75(x83631),x83634),x83633)),f317(f317(f75(x83631),x83634),x83632)))
% 184.03/183.91 [8364]~P128(x83641)+P1(f317(f317(f225(x83641),x83642),x83643))+P1(f317(f317(f225(x83641),f2(x83641)),x83644))+~P1(f317(f317(f225(x83641),f317(f317(f75(x83641),x83643),x83644)),f317(f317(f75(x83641),x83642),x83644)))
% 184.03/183.91 [8377]~P128(x83771)+P1(f317(f317(f225(x83771),x83772),f2(x83771)))+P1(f317(f317(f225(x83771),f2(x83771)),x83772))+~P1(f317(f317(f225(x83771),f317(f317(f75(x83771),x83773),x83772)),f317(f317(f75(x83771),x83774),x83772)))
% 184.03/183.91 [8378]~P128(x83781)+P1(f317(f317(f225(x83781),x83782),f2(x83781)))+P1(f317(f317(f225(x83781),f2(x83781)),x83782))+~P1(f317(f317(f225(x83781),f317(f317(f75(x83781),x83782),x83783)),f317(f317(f75(x83781),x83782),x83784)))
% 184.03/183.91 [8407]~P128(x84071)+~P1(f317(f317(f225(x84071),x84074),f2(x84071)))+P1(f317(f317(f224(x84071),x84072),x84073))+~P1(f317(f317(f224(x84071),f317(f317(f75(x84071),x84074),x84073)),f317(f317(f75(x84071),x84074),x84072)))
% 184.03/183.91 [8408]~P128(x84081)+~P1(f317(f317(f225(x84081),x84084),f2(x84081)))+P1(f317(f317(f225(x84081),x84082),x84083))+~P1(f317(f317(f225(x84081),f317(f317(f75(x84081),x84084),x84083)),f317(f317(f75(x84081),x84084),x84082)))
% 184.03/183.91 [8419]~P112(x84193)+~P1(f317(f317(f225(x84193),f72(x84193)),x84194))+P1(f317(f317(f224(a899),x84191),x84192))+~P1(f317(f317(f224(x84193),f317(f317(f234(x84193),x84194),x84191)),f317(f317(f234(x84193),x84194),x84192)))
% 184.03/183.91 [8421]~P112(x84213)+~P1(f317(f317(f225(x84213),f72(x84213)),x84214))+P1(f317(f317(f225(a899),x84211),x84212))+~P1(f317(f317(f225(x84213),f317(f317(f234(x84213),x84214),x84211)),f317(f317(f234(x84213),x84214),x84212)))
% 184.03/183.91 [8431]~P128(x84311)+P1(f317(f317(f224(x84311),x84312),x84313))+~P1(f317(f317(f225(x84311),f2(x84311)),x84314))+~P1(f317(f317(f224(x84311),f317(f317(f75(x84311),x84314),x84312)),f317(f317(f75(x84311),x84314),x84313)))
% 184.03/183.91 [8432]~P133(x84321)+P1(f317(f317(f224(x84321),x84322),x84323))+~P1(f317(f317(f225(x84321),f2(x84321)),x84324))+~P1(f317(f317(f224(x84321),f317(f317(f75(x84321),x84324),x84322)),f317(f317(f75(x84321),x84324),x84323)))
% 184.03/183.91 [8433]~P133(x84331)+P1(f317(f317(f224(x84331),x84332),x84333))+~P1(f317(f317(f225(x84331),f2(x84331)),x84334))+~P1(f317(f317(f224(x84331),f317(f317(f75(x84331),x84332),x84334)),f317(f317(f75(x84331),x84333),x84334)))
% 184.03/183.91 [8434]~P128(x84341)+P1(f317(f317(f225(x84341),x84342),x84343))+~P1(f317(f317(f225(x84341),f2(x84341)),x84344))+~P1(f317(f317(f225(x84341),f317(f317(f75(x84341),x84344),x84342)),f317(f317(f75(x84341),x84344),x84343)))
% 184.03/183.91 [8435]~P133(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),x84354),x84352)),f317(f317(f75(x84351),x84354),x84353)))
% 184.03/183.91 [8436]~P130(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),x84364),x84362)),f317(f317(f75(x84361),x84364),x84363)))
% 184.03/183.91 [8437]~P112(x84371)+~P1(f317(f317(f224(x84371),f2(x84371)),x84373))+P1(f317(f317(f225(x84371),x84372),x84373))+~P1(f317(f317(f225(x84371),f317(f317(f234(x84371),x84372),x84374)),f317(f317(f234(x84371),x84373),x84374)))
% 184.03/183.91 [8438]~P133(x84381)+P1(f317(f317(f225(x84381),x84382),x84383))+~P1(f317(f317(f224(x84381),f2(x84381)),x84384))+~P1(f317(f317(f225(x84381),f317(f317(f75(x84381),x84382),x84384)),f317(f317(f75(x84381),x84383),x84384)))
% 184.03/183.91 [8439]~P130(x84391)+P1(f317(f317(f225(x84391),x84392),x84393))+~P1(f317(f317(f224(x84391),f2(x84391)),x84394))+~P1(f317(f317(f225(x84391),f317(f317(f75(x84391),x84392),x84394)),f317(f317(f75(x84391),x84393),x84394)))
% 184.03/183.91 [8483]P1(f317(f317(f319(x84831),x84832),x84833))+~P1(f317(f317(f224(f906(x84831,a895)),x84833),x84834))+~P1(f317(f317(f225(f906(x84831,a895)),x84833),x84834))+P1(f317(f317(f225(f906(x84831,a895)),x84833),f317(f317(f299(x84831),x84832),x84834)))
% 184.03/183.91 [8516]~P146(x85161)+~P123(x85161)+P1(f317(f317(f277(x85161),x85162),f317(f317(f74(x85161),f842(x85162,x85163,x85161)),f2(x85161))))+~P1(f317(x85163,f317(f317(f75(x85161),x85162),x85164)))
% 184.03/183.91 [8863]E(f317(f317(f3(a1),f361(x88631,x88632,x88633,x88634)),f362(x88631,x88632,x88633,x88634)),x88634)+~P1(f317(f317(f225(a1),f2(a1)),x88633))+~P1(f317(f317(f224(a1),x88631),x88634))+P1(f317(f317(f224(a1),x88631),f317(f317(f74(a1),x88634),x88633)))
% 184.03/183.91 [8864]E(f317(f317(f3(a1),f371(x88641,x88642,x88643,x88644)),f372(x88641,x88642,x88643,x88644)),x88644)+~P1(f317(f317(f225(a1),f2(a1)),x88643))+~P1(f317(f317(f225(a1),x88641),x88644))+P1(f317(f317(f225(a1),x88641),f317(f317(f74(a1),x88644),x88643)))
% 184.03/183.91 [9014]~E(f317(f317(f154(x90141),x90143),f658(x90144,x90143,x90141,x90142)),f317(f317(f154(x90141),x90144),f658(x90144,x90143,x90141,x90142)))+E(f317(f317(f165(x90141),x90142),x90143),f317(f317(f165(x90141),x90142),x90144))+~P1(f317(f317(f224(a899),x90142),f317(f179(f900(x90141)),x90143)))+~P1(f317(f317(f224(a899),x90142),f317(f179(f900(x90141)),x90144)))
% 184.03/183.91 [9076]~P1(f317(f317(f225(a1),f2(a1)),x90763))+~P1(f317(f317(f224(a1),x90761),x90764))+P1(f317(f317(f319(a1),f361(x90761,x90762,x90763,x90764)),x90762))+P1(f317(f317(f224(a1),x90761),f317(f317(f74(a1),x90764),x90763)))
% 184.03/183.91 [9077]~P1(f317(f317(f225(a1),f2(a1)),x90773))+~P1(f317(f317(f225(a1),x90771),x90774))+P1(f317(f317(f319(a1),f371(x90771,x90772,x90773,x90774)),x90772))+P1(f317(f317(f225(a1),x90771),f317(f317(f74(a1),x90774),x90773)))
% 184.03/183.91 [9117]~P107(x91171)+~P1(f317(f28(x91171),x91173))+~P1(f317(f317(f319(x91171),x91174),x91173))+P1(f317(f317(f224(x91171),f317(f317(f58(x91171,x91171,f228(x91171)),x91172),x91173)),f317(f317(f228(x91171),x91174),x91172)))
% 184.03/183.91 [9118]~P103(x91181)+~P1(f317(f28(x91181),x91183))+~P1(f317(f317(f319(x91181),x91184),x91183))+P1(f317(f317(f224(x91181),f317(f317(f58(x91181,x91181,f92(x91181)),x91182),x91183)),f317(f317(f92(x91181),x91184),x91182)))
% 184.03/183.91 [9162]E(f317(f317(f165(x91621),x91622),x91623),f317(f317(f165(x91621),x91622),x91624))+P1(f317(f317(f225(a899),f658(x91623,x91624,x91621,x91622)),x91622))+~P1(f317(f317(f224(a899),x91622),f317(f179(f900(x91621)),x91623)))+~P1(f317(f317(f224(a899),x91622),f317(f179(f900(x91621)),x91624)))
% 184.03/183.91 [9167]~P1(f317(f317(f225(a1),f2(a1)),x91673))+~P1(f317(f317(f224(a1),x91671),x91672))+P1(f317(f317(f319(a1),f362(x91671,x91674,x91673,x91672)),f293(a1,f72(a1),x91673)))+P1(f317(f317(f224(a1),x91671),f317(f317(f74(a1),x91672),x91673)))
% 184.03/183.91 [9168]~P1(f317(f317(f225(a1),f2(a1)),x91683))+~P1(f317(f317(f225(a1),x91681),x91682))+P1(f317(f317(f319(a1),f372(x91681,x91684,x91683,x91682)),f293(a1,f72(a1),x91683)))+P1(f317(f317(f225(a1),x91681),f317(f317(f74(a1),x91682),x91683)))
% 184.03/183.91 [9494]~P107(x94941)+~P1(f317(f28(x94941),x94944))+P1(f317(f317(f319(x94941),f429(x94942,x94943,x94944,x94941)),x94944))+P1(f317(f317(f224(x94941),f317(f317(f58(x94941,x94941,f223(x94941)),x94942),x94944)),f317(f317(f223(x94941),x94943),x94942)))
% 184.03/183.91 [9495]~P97(x94951)+~P1(f317(f28(x94951),x94954))+P1(f317(f317(f319(x94951),f441(x94952,x94953,x94954,x94951)),x94954))+P1(f317(f317(f224(x94951),f317(f317(f58(x94951,x94951,f91(x94951)),x94952),x94954)),f317(f317(f91(x94951),x94953),x94952)))
% 184.03/183.91 [9631]~P97(x96311)+~P1(f317(f28(x96311),x96313))+~P1(f317(f317(f224(x96311),f441(x96312,x96314,x96313,x96311)),x96314))+P1(f317(f317(f224(x96311),f317(f317(f58(x96311,x96311,f91(x96311)),x96312),x96313)),f317(f317(f91(x96311),x96314),x96312)))
% 184.03/183.91 [9632]~P107(x96321)+~P1(f317(f28(x96321),x96323))+~P1(f317(f317(f224(x96321),f429(x96322,x96324,x96323,x96321)),x96324))+P1(f317(f317(f224(x96321),f317(f317(f58(x96321,x96321,f223(x96321)),x96322),x96323)),f317(f317(f223(x96321),x96324),x96322)))
% 184.03/183.91 [9634]~P1(f317(f317(f224(a1),f2(a1)),x96344))+~P1(f317(f317(f225(a1),f2(a1)),x96343))+~P1(f317(f317(f225(a1),x96344),x96341))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96341),f40(a1,x96342,x96343))),x96344)),f317(f317(f75(a1),x96341),x96343)))
% 184.03/183.91 [10022]E(x100221,x100222)+P1(f317(f317(f319(f905(f900(x100223),f900(x100223))),f317(f317(f242(f900(x100223),f900(x100223)),x100222),x100221)),f137(x100223,x100224)))+P1(f317(f317(f319(f905(f900(x100223),f900(x100223))),f317(f317(f242(f900(x100223),f900(x100223)),x100221),x100222)),f137(x100223,x100224)))+~P1(f317(f317(f319(f905(x100223,x100223)),f317(f317(f242(x100223,x100223),f631(x100221,x100222,x100224,x100223)),f633(x100221,x100222,x100224,x100223))),x100224))
% 184.03/183.91 [10023]E(x100231,x100232)+P1(f317(f317(f319(f905(f900(x100233),f900(x100233))),f317(f317(f242(f900(x100233),f900(x100233)),x100232),x100231)),f137(x100233,x100234)))+P1(f317(f317(f319(f905(f900(x100233),f900(x100233))),f317(f317(f242(f900(x100233),f900(x100233)),x100231),x100232)),f137(x100233,x100234)))+~P1(f317(f317(f319(f905(x100233,x100233)),f317(f317(f242(x100233,x100233),f633(x100231,x100232,x100234,x100233)),f631(x100231,x100232,x100234,x100233))),x100234))
% 184.03/183.91 [7567]~P97(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))
% 184.03/183.91 [7570]~P107(x75701)+~P1(f317(f317(f224(x75701),x75703),x75704))+~P1(f317(f317(f224(x75701),x75702),x75704))+P1(f317(f317(f224(x75701),f317(f317(f223(x75701),x75702),x75703)),x75704))
% 184.03/183.91 [7571]~P107(x75711)+~P1(f317(f317(f225(x75711),x75713),x75714))+~P1(f317(f317(f225(x75711),x75712),x75714))+P1(f317(f317(f225(x75711),f317(f317(f223(x75711),x75712),x75713)),x75714))
% 184.03/183.91 [7810]~P3(x78101)+E(f317(f317(f74(x78101),f317(f317(f30(x78101),x78102),x78103)),f317(f317(f30(x78101),x78104),x78103)),f317(f317(f30(x78101),f317(f317(f74(x78101),x78102),x78104)),x78103))+~P1(f317(f317(f277(x78101),x78103),x78104))+~P1(f317(f317(f277(x78101),x78103),x78102))
% 184.03/183.91 [7893]~E(x78931,x78933)+E(f129(a899,f317(f292(a899,x78931),x78932)),f317(f317(f141(a899),x78933),x78934))+~E(f129(a899,f317(f292(a899,f317(f317(f74(a899),x78931),f72(a899))),x78932)),x78934)+~P1(f317(f317(f225(a899),x78931),x78932))
% 184.03/183.91 [7901]~P107(x79011)+P1(f317(f317(f224(x79011),x79012),x79013))+P1(f317(f317(f224(x79011),x79014),x79013))+~P1(f317(f317(f224(x79011),f317(f317(f228(x79011),x79014),x79012)),x79013))
% 184.03/183.91 [7902]~P107(x79021)+P1(f317(f317(f225(x79021),x79022),x79023))+P1(f317(f317(f225(x79021),x79024),x79023))+~P1(f317(f317(f225(x79021),f317(f317(f228(x79021),x79024),x79022)),x79023))
% 184.03/183.91 [8178]~P63(x81781)+~P1(f317(f317(f225(x81781),f2(x81781)),x81783))+~P1(f317(f317(f224(x81781),x81782),f317(f317(f281(x81781),x81784),x81783)))+P1(f317(f317(f224(x81781),f317(f317(f75(x81781),x81782),x81783)),x81784))
% 184.03/183.91 [8179]~P64(x81791)+~P1(f317(f317(f225(x81791),f2(x81791)),x81793))+~P1(f317(f317(f224(x81791),x81792),f317(f317(f281(x81791),x81794),x81793)))+P1(f317(f317(f224(x81791),f317(f317(f75(x81791),x81792),x81793)),x81794))
% 184.03/183.91 [8180]~P63(x81801)+~P1(f317(f317(f225(x81801),f2(x81801)),x81803))+~P1(f317(f317(f224(x81801),x81802),f317(f317(f75(x81801),x81804),x81803)))+P1(f317(f317(f224(x81801),f317(f317(f281(x81801),x81802),x81803)),x81804))
% 184.03/183.91 [8182]~P64(x81821)+~P1(f317(f317(f225(x81821),f2(x81821)),x81823))+~P1(f317(f317(f224(x81821),x81822),f317(f317(f75(x81821),x81824),x81823)))+P1(f317(f317(f224(x81821),f317(f317(f281(x81821),x81822),x81823)),x81824))
% 184.03/183.91 [8183]~P63(x81831)+~P1(f317(f317(f225(x81831),f2(x81831)),x81833))+~P1(f317(f317(f225(x81831),x81832),f317(f317(f281(x81831),x81834),x81833)))+P1(f317(f317(f225(x81831),f317(f317(f75(x81831),x81832),x81833)),x81834))
% 184.03/183.91 [8184]~P64(x81841)+~P1(f317(f317(f225(x81841),f2(x81841)),x81843))+~P1(f317(f317(f225(x81841),x81842),f317(f317(f281(x81841),x81844),x81843)))+P1(f317(f317(f225(x81841),f317(f317(f75(x81841),x81842),x81843)),x81844))
% 184.03/183.91 [8185]~P63(x81851)+~P1(f317(f317(f225(x81851),f2(x81851)),x81853))+~P1(f317(f317(f225(x81851),x81852),f317(f317(f75(x81851),x81854),x81853)))+P1(f317(f317(f225(x81851),f317(f317(f281(x81851),x81852),x81853)),x81854))
% 184.03/183.91 [8187]~P64(x81871)+~P1(f317(f317(f225(x81871),f2(x81871)),x81873))+~P1(f317(f317(f225(x81871),x81872),f317(f317(f75(x81871),x81874),x81873)))+P1(f317(f317(f225(x81871),f317(f317(f281(x81871),x81872),x81873)),x81874))
% 184.03/183.91 [8316]~P63(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))
% 184.03/183.91 [8317]~P63(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))
% 184.03/183.91 [8319]~P64(x83191)+~P1(f317(f317(f225(x83191),f2(x83191)),x83194))+P1(f317(f317(f224(x83191),x83192),f317(f317(f75(x83191),x83193),x83194)))+~P1(f317(f317(f224(x83191),f317(f317(f281(x83191),x83192),x83194)),x83193))
% 184.03/183.91 [8320]~P64(x83201)+~P1(f317(f317(f225(x83201),f2(x83201)),x83204))+P1(f317(f317(f224(x83201),x83202),f317(f317(f281(x83201),x83203),x83204)))+~P1(f317(f317(f224(x83201),f317(f317(f75(x83201),x83202),x83204)),x83203))
% 184.03/183.91 [8321]~P63(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))
% 184.03/183.91 [8322]~P63(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))
% 184.03/183.91 [8324]~P64(x83241)+~P1(f317(f317(f225(x83241),f2(x83241)),x83244))+P1(f317(f317(f225(x83241),x83242),f317(f317(f75(x83241),x83243),x83244)))+~P1(f317(f317(f225(x83241),f317(f317(f281(x83241),x83242),x83244)),x83243))
% 184.03/183.91 [8325]~P64(x83251)+~P1(f317(f317(f225(x83251),f2(x83251)),x83254))+P1(f317(f317(f225(x83251),x83252),f317(f317(f281(x83251),x83253),x83254)))+~P1(f317(f317(f225(x83251),f317(f317(f75(x83251),x83252),x83254)),x83253))
% 184.03/183.91 [8486]~P64(x84861)+~P1(f317(f317(f225(x84861),x84863),f2(x84861)))+~P1(f317(f317(f224(x84861),f317(f317(f281(x84861),x84864),x84863)),x84862))+P1(f317(f317(f224(x84861),f317(f317(f75(x84861),x84862),x84863)),x84864))
% 184.03/183.91 [8487]~P64(x84871)+~P1(f317(f317(f225(x84871),x84873),f2(x84871)))+~P1(f317(f317(f224(x84871),f317(f317(f75(x84871),x84874),x84873)),x84872))+P1(f317(f317(f224(x84871),f317(f317(f281(x84871),x84872),x84873)),x84874))
% 184.03/183.91 [8488]~P64(x84881)+~P1(f317(f317(f225(x84881),x84883),f2(x84881)))+~P1(f317(f317(f225(x84881),f317(f317(f281(x84881),x84884),x84883)),x84882))+P1(f317(f317(f225(x84881),f317(f317(f75(x84881),x84882),x84883)),x84884))
% 184.03/183.91 [8489]~P64(x84891)+~P1(f317(f317(f225(x84891),x84893),f2(x84891)))+~P1(f317(f317(f225(x84891),f317(f317(f75(x84891),x84894),x84893)),x84892))+P1(f317(f317(f225(x84891),f317(f317(f281(x84891),x84892),x84893)),x84894))
% 184.03/183.91 [8501]~P1(f317(x85011,x85014))+~P1(f317(f317(f225(a899),x85012),f317(f317(f75(a899),x85013),f317(a102,x85014))))+P1(f317(x85011,f317(f317(f30(a899),x85012),x85013)))+~P1(f317(f317(f224(a899),f317(f317(f75(a899),x85013),x85014)),x85012))
% 184.03/183.91 [8711]~P97(x87111)+~P1(f317(f28(x87111),x87114))+~P1(f317(f317(f319(x87111),x87112),x87114))+P1(f317(f317(f224(x87111),f317(f317(f91(x87111),x87112),x87113)),f317(f317(f58(x87111,x87111,f91(x87111)),x87113),x87114)))
% 184.03/183.91 [8712]~P107(x87121)+~P1(f317(f28(x87121),x87124))+~P1(f317(f317(f319(x87121),x87122),x87124))+P1(f317(f317(f224(x87121),f317(f317(f223(x87121),x87122),x87123)),f317(f317(f58(x87121,x87121,f223(x87121)),x87123),x87124)))
% 184.03/183.91 [8865]~P1(f317(f28(x88651),x88652))+E(f317(f29(x88651),f317(f317(f3(f906(x88651,a895)),x88652),f317(f317(f299(x88651),x88653),x88654))),f317(f317(f3(a899),f317(f29(x88651),f317(f317(f3(f906(x88651,a895)),x88652),x88654))),f72(a899)))+P1(f317(f317(f319(x88651),x88653),x88654))+~P1(f317(f317(f319(x88651),x88653),x88652))
% 184.03/183.91 [8942]E(f317(f317(f74(a1),f365(x89421,x89422,x89423,x89424)),f366(x89421,x89422,x89423,x89424)),x89424)+~P1(f317(f317(f225(a1),f2(a1)),x89423))+~P1(f317(f317(f224(a1),x89424),x89421))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x89424),x89423)),x89421))
% 184.03/183.91 [8943]E(f317(f317(f74(a1),f373(x89431,x89432,x89433,x89434)),f374(x89431,x89432,x89433,x89434)),x89434)+~P1(f317(f317(f225(a1),f2(a1)),x89433))+~P1(f317(f317(f225(a1),x89434),x89431))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x89434),x89433)),x89431))
% 184.03/183.91 [9147]~P1(f317(f317(f225(a1),f2(a1)),x91473))+~P1(f317(f317(f224(a1),x91474),x91471))+P1(f317(f317(f319(a1),f365(x91471,x91472,x91473,x91474)),x91472))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x91474),x91473)),x91471))
% 184.03/183.91 [9148]~P1(f317(f317(f225(a1),f2(a1)),x91483))+~P1(f317(f317(f225(a1),x91484),x91481))+P1(f317(f317(f319(a1),f373(x91481,x91482,x91483,x91484)),x91482))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x91484),x91483)),x91481))
% 184.03/183.91 [9234]~P1(f317(f317(f225(a1),f2(a1)),x92342))+~P1(f317(f317(f224(a1),x92341),x92343))+P1(f317(f317(f319(a1),f366(x92343,x92344,x92342,x92341)),f293(a1,f72(a1),x92342)))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x92341),x92342)),x92343))
% 184.03/183.91 [9235]~P1(f317(f317(f225(a1),f2(a1)),x92352))+~P1(f317(f317(f225(a1),x92351),x92353))+P1(f317(f317(f319(a1),f374(x92353,x92354,x92352,x92351)),f293(a1,f72(a1),x92352)))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x92351),x92352)),x92353))
% 184.03/183.91 [9253]~P1(f317(f317(f224(a1),f2(a1)),x92534))+~P1(f317(f317(f225(a1),f2(a1)),x92533))+~P1(f317(f317(f225(a1),x92534),x92531))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92531),f40(a1,x92532,x92533))),x92534)))
% 184.03/183.91 [9282]E(x92821,x92822)+~P38(x92823,x92824)+~P1(f317(f317(f319(f905(x92823,x92823)),f317(f317(f242(x92823,x92823),x92822),x92821)),x92824))+~P1(f317(f317(f319(f905(x92823,x92823)),f317(f317(f242(x92823,x92823),x92821),x92822)),x92824))
% 184.03/183.91 [9315]~P107(x93151)+~P1(f317(f28(x93151),x93154))+~P1(f317(f317(f224(x93151),x93152),f872(x93153,x93152,x93154,x93151)))+P1(f317(f317(f224(x93151),f317(f317(f228(x93151),x93152),x93153)),f317(f317(f58(x93151,x93151,f228(x93151)),x93153),x93154)))
% 184.03/183.91 [9316]~P103(x93161)+~P1(f317(f28(x93161),x93164))+~P1(f317(f317(f224(x93161),x93162),f438(x93163,x93162,x93164,x93161)))+P1(f317(f317(f224(x93161),f317(f317(f92(x93161),x93162),x93163)),f317(f317(f58(x93161,x93161,f92(x93161)),x93163),x93164)))
% 184.03/183.91 [9333]~P1(f317(f317(f224(a1),x93334),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x93332))+~P1(f317(f317(f225(a1),x93331),x93334))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x93331),x93332)),f317(f317(f74(a1),f317(f317(f75(a1),x93331),f40(a1,x93333,x93332))),x93334)))
% 184.03/183.91 [9359]P1(f317(f28(x93591),x93592))+~P1(f317(f28(x93591),x93593))+~P1(f317(f317(f319(f906(x93591,a895)),x93592),f317(f317(f55(x93591),x93593),x93594)))+~P1(f317(f317(f224(f906(f905(x93591,x93591),a895)),x93594),f317(f317(f244(x93591,x93591),x93593),f317(f18(f906(x93591,a895),x93591),x93593))))
% 184.03/183.91 [9383]~P107(x93831)+~P1(f317(f28(x93831),x93834))+P1(f317(f317(f319(x93831),f872(x93832,x93833,x93834,x93831)),x93834))+P1(f317(f317(f224(x93831),f317(f317(f228(x93831),x93833),x93832)),f317(f317(f58(x93831,x93831,f228(x93831)),x93832),x93834)))
% 184.03/183.91 [9384]~P103(x93841)+~P1(f317(f28(x93841),x93844))+P1(f317(f317(f319(x93841),f438(x93842,x93843,x93844,x93841)),x93844))+P1(f317(f317(f224(x93841),f317(f317(f92(x93841),x93843),x93842)),f317(f317(f58(x93841,x93841,f92(x93841)),x93842),x93844)))
% 184.03/183.91 [9799]~P1(f317(f28(x97992),x97994))+~P1(f317(f28(x97991),x97993))+~P1(f317(f317(f224(a899),f317(f29(x97992),x97994)),f317(f29(x97991),x97993)))+P1(f317(f317(f224(f906(x97991,a895)),f317(f300(x97992,x97991,f515(x97993,x97991,x97994,x97992)),x97994)),x97993))
% 184.03/183.91 [9435]~P1(f317(f317(f319(x94351),x94352),x94354))+P1(f317(f317(f319(x94351),x94352),x94353))+~P1(f317(f317(f225(f906(x94351,a895)),x94354),f317(f317(f299(x94351),x94352),x94353)))+P1(f317(f317(f225(f906(x94351,a895)),f317(f317(f3(f906(x94351,a895)),x94354),f317(f317(f299(x94351),x94352),f178(f906(x94351,a895))))),x94353))
% 184.03/183.91 [9612]~P1(f317(f317(f319(x96121),x96122),x96124))+P1(f317(f317(f319(x96121),x96122),x96123))+P1(f317(f317(f225(f906(x96121,a895)),x96124),f317(f317(f299(x96121),x96122),x96123)))+~P1(f317(f317(f225(f906(x96121,a895)),f317(f317(f3(f906(x96121,a895)),x96124),f317(f317(f299(x96121),x96122),f178(f906(x96121,a895))))),x96123))
% 184.03/183.91 [9637]P1(f317(f317(f319(x96371),x96372),x96373))+~P1(f317(f317(f224(f906(x96371,a895)),x96374),x96373))+P1(f317(f317(f225(f906(x96371,a895)),x96374),f317(f317(f299(x96371),x96372),x96373)))+~P1(f317(f317(f225(f906(x96371,a895)),f317(f317(f3(f906(x96371,a895)),x96374),f317(f317(f299(x96371),x96372),f178(f906(x96371,a895))))),x96373))
% 184.03/183.91 [9642]~P1(f317(f317(f319(x96421),x96423),x96422))+~P1(f317(f317(f225(f906(x96421,a895)),x96422),x96424))+P1(f317(f317(f225(f906(x96421,a895)),x96422),f317(f317(f299(x96421),x96423),x96424)))+~P1(f317(f317(f225(f906(x96421,a895)),f317(f317(f3(f906(x96421,a895)),x96422),f317(f317(f299(x96421),x96423),f178(f906(x96421,a895))))),x96424))
% 184.03/183.91 [9659]~P1(f317(f317(f224(f906(x96591,a895)),x96592),x96594))+~P1(f317(f317(f225(f906(x96591,a895)),x96592),x96594))+P1(f317(f317(f225(f906(x96591,a895)),x96592),f317(f317(f299(x96591),x96593),x96594)))+~P1(f317(f317(f225(f906(x96591,a895)),f317(f317(f3(f906(x96591,a895)),x96592),f317(f317(f299(x96591),x96593),f178(f906(x96591,a895))))),x96594))
% 184.03/183.91 [9704]~P109(x97042)+~P60(x97041)+~P1(f317(f317(f224(f906(x97041,x97042)),x97043),x97044))+P1(f317(f52(x97041),f317(f317(f20(x97041,x97042,a895),f317(f317(f10(x97042,f906(x97042,a895),x97041),f224(x97042)),x97043)),x97044)))
% 184.03/183.91 [9847]~P109(x98472)+~P60(x98471)+P1(f317(f317(f224(f906(x98471,x98472)),x98473),x98474))+~P1(f317(f52(x98471),f317(f317(f20(x98471,x98472,a895),f317(f317(f10(x98472,f906(x98472,a895),x98471),f224(x98472)),x98473)),x98474)))
% 184.03/183.91 [10013]E(f317(f317(f154(x100131),f317(f317(f154(f900(x100131)),f169(x100131,x100132)),x100133)),x100134),f317(f317(f154(x100131),f317(f317(f154(f900(x100131)),x100132),x100134)),x100133))+~P1(f317(f317(f225(a899),x100133),f317(f179(f900(f900(x100131))),f169(x100131,x100132))))+~P13(a899,f317(f158(a899),f317(f317(f144(f900(x100131),a899),f179(f900(x100131))),x100132)))+~P1(f317(f317(f225(a899),x100134),f317(f179(f900(f900(x100131))),f317(f126(f900(x100131),f317(f317(f10(a899,a895,f900(x100131)),f317(f225(a899),x100133)),f179(f900(x100131)))),x100132))))
% 184.03/183.91 [10034]~P1(f317(f317(f319(f905(a899,a899)),x100344),x100341))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x100344),x100342)),a26))+~P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100341),x100343)),a63))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100341),f317(f317(f299(f905(a899,a899)),x100342),x100343))),a63))
% 184.03/183.91 [10035]~P1(f317(f317(f319(f905(a899,a899)),x100354),x100351))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x100354),x100352)),a65))+~P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100351),x100353)),a66))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100351),f317(f317(f299(f905(a899,a899)),x100352),x100353))),a66))
% 184.03/183.91 [9925]~P109(x99252)+~P60(x99251)+~P1(f317(f317(f225(f906(x99251,x99252)),x99253),x99254))+P1(f317(f51(x99251),f317(f317(f10(a895,a895,x99251),a312),f317(f317(f20(x99251,x99252,a895),f317(f317(f10(x99252,f906(x99252,a895),x99251),a314),x99253)),x99254))))
% 184.03/183.91 [10046]~P1(f317(f317(f319(f905(a899,a899)),x100464),x100463))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x100461),x100464)),a26))+~P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100462),x100463)),a27))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f317(f317(f299(f905(a899,a899)),x100461),x100462)),x100463)),a27))
% 184.03/183.91 [10047]~P1(f317(f317(f319(f905(a899,a899)),x100474),x100473))+~P1(f317(f317(f319(f905(f905(a899,a899),f905(a899,a899))),f317(f317(f242(f905(a899,a899),f905(a899,a899)),x100471),x100474)),a65))+~P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100472),x100473)),a64))+P1(f317(f317(f319(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f317(f317(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f317(f317(f299(f905(a899,a899)),x100471),x100472)),x100473)),a64))
% 184.03/183.91 [6127]~P7(x61274,x61271)+~P1(f317(f317(x61271,x61272),x61275))+P1(f317(f317(x61271,x61272),x61273))+~P1(f317(f317(x61271,x61275),x61273))
% 184.03/183.91 [6128]~P49(x61284,x61281)+~P1(f317(f317(x61281,x61282),x61285))+P1(f317(f317(x61281,x61282),x61283))+~P1(f317(f317(x61281,x61285),x61283))
% 184.03/183.91 [6129]~P15(x61294,x61291)+~P1(f317(f317(x61291,x61292),x61295))+P1(f317(f317(x61291,x61292),x61293))+~P1(f317(f317(x61291,x61295),x61293))
% 184.03/183.91 [8850]~P7(x88504,x88503)+~P1(f317(x88501,x88505))+P1(f317(x88502,f815(x88502,x88501,x88503,x88504)))+P1(f317(x88501,f814(x88502,x88501,x88503,x88504)))
% 184.03/183.91 [9084]~P7(x90844,x90843)+~P1(f317(x90842,x90845))+~P1(f317(x90841,f814(x90841,x90842,x90843,x90844)))+P1(f317(x90841,f815(x90841,x90842,x90843,x90844)))
% 184.03/183.91 [9266]~P7(x92664,x92663)+~P1(f317(x92661,x92665))+P1(f317(f317(f319(x92664),f815(x92662,x92661,x92663,x92664)),f260(x92664,x92663)))+P1(f317(x92661,f814(x92662,x92661,x92663,x92664)))
% 184.03/183.91 [9392]~P7(x93921,x93924)+~P1(f317(x93923,x93925))+~P1(f317(x93922,f814(x93922,x93923,x93924,x93921)))+P1(f317(f317(f319(x93921),f815(x93922,x93923,x93924,x93921)),f260(x93921,x93924)))
% 184.03/183.91 [9693]~P37(x96931,x96934)+P1(f317(f317(f319(f905(f900(x96931),f900(x96931))),f317(f317(f242(f900(x96931),f900(x96931)),x96932),x96933)),f137(x96931,x96934)))+~P1(f317(f317(f319(f905(f900(x96931),f900(x96931))),f317(f317(f242(f900(x96931),f900(x96931)),x96932),x96935)),f137(x96931,x96934)))+~P1(f317(f317(f319(f905(f900(x96931),f900(x96931))),f317(f317(f242(f900(x96931),f900(x96931)),x96935),x96933)),f137(x96931,x96934)))
% 184.03/183.91 [5352]~P67(x53525)+E(x53521,x53522)+~E(x53523,x53524)+~E(f317(f317(f3(x53525),x53523),x53524),f317(f317(f3(x53525),x53521),x53522))
% 184.03/183.91 [6243]~P17(x62435,x62431,x62433)+E(f317(f317(x62431,x62432),f317(x62433,x62434)),f317(x62433,x62434))+~P1(f317(f28(x62435),x62434))+~P1(f317(f317(f319(x62435),x62432),x62434))
% 184.03/183.91 [6439]~P78(x64391)+~E(f317(f317(f3(x64391),x64394),x64395),f317(f317(f3(x64391),x64392),x64393))+~P1(f317(f317(f224(x64391),x64394),x64395))+P1(f317(f317(f224(x64391),x64392),x64393))
% 184.03/183.91 [6441]~P78(x64411)+~E(f317(f317(f3(x64411),x64414),x64415),f317(f317(f3(x64411),x64412),x64413))+~P1(f317(f317(f225(x64411),x64414),x64415))+P1(f317(f317(f225(x64411),x64412),x64413))
% 184.03/183.91 [7434]~E(x74342,f317(f317(f141(x74341),x74344),x74345))+P1(f317(f317(f319(f900(x74341)),x74342),f151(x74341,x74343)))+~P1(f317(f317(f319(f900(x74341)),x74345),f151(x74341,x74343)))+~P1(f317(f317(f319(x74341),x74344),x74343))
% 184.03/183.91 [7841]~E(f317(f179(f900(x78411)),x78413),f317(f179(f900(x78412)),x78414))+~E(f317(f317(f144(f905(x78411,x78412),x78412),f246(x78411,x78412)),x78415),x78414)+~E(f317(f317(f144(f905(x78411,x78412),x78411),f241(x78411,x78412)),x78415),x78413)+E(f317(f317(f171(x78411,x78412),x78413),x78414),x78415)
% 184.03/183.91 [8174]~P109(x81741)+P1(f317(f317(f225(f906(x81741,a895)),f293(x81741,x81742,x81743)),f293(x81741,x81744,x81745)))+~P1(f317(f317(f224(x81741),x81744),x81745))+P1(f317(f317(f224(x81741),x81742),x81743))
% 184.03/183.91 [8274]~P109(x82741)+P1(f317(f317(f224(f906(x82741,a895)),f293(x82741,x82742,x82743)),f293(x82741,x82744,x82745)))+~P1(f317(f317(f224(x82741),x82743),x82745))+~P1(f317(f317(f224(x82741),x82744),x82742))
% 184.03/183.91 [8393]~P107(x83931)+P1(f317(f317(f224(x83931),x83932),x83933))+P1(f317(f317(f224(x83931),x83934),x83933))+~P1(f317(f317(f224(f906(x83931,a895)),f317(f292(x83931,x83933),x83932)),f317(f292(x83931,x83934),x83935)))
% 184.03/183.91 [8394]~P107(x83941)+P1(f317(f317(f224(x83941),x83942),x83943))+P1(f317(f317(f224(x83941),x83942),x83944))+~P1(f317(f317(f224(f906(x83941,a895)),f317(f292(x83941,x83943),x83942)),f317(f292(x83941,x83945),x83944)))
% 184.03/183.91 [8628]~P109(x86281)+~P1(f317(f317(f224(f906(x86281,a895)),f293(x86281,x86284,x86282)),f293(x86281,x86285,x86283)))+P1(f317(f317(f224(x86281),x86282),x86283))+~P1(f317(f317(f224(x86281),x86284),x86282))
% 184.03/183.91 [8629]~P109(x86291)+~P1(f317(f317(f225(f906(x86291,a895)),f293(x86291,x86294,x86292)),f293(x86291,x86295,x86293)))+P1(f317(f317(f224(x86291),x86292),x86293))+~P1(f317(f317(f224(x86291),x86294),x86292))
% 184.03/183.91 [8630]~P109(x86301)+~P1(f317(f317(f224(f906(x86301,a895)),f293(x86301,x86303,x86304)),f293(x86301,x86302,x86305)))+P1(f317(f317(f224(x86301),x86302),x86303))+~P1(f317(f317(f224(x86301),x86303),x86304))
% 184.03/183.91 [8631]~P109(x86311)+~P1(f317(f317(f225(f906(x86311,a895)),f293(x86311,x86313,x86314)),f293(x86311,x86312,x86315)))+P1(f317(f317(f224(x86311),x86312),x86313))+~P1(f317(f317(f224(x86311),x86313),x86314))
% 184.03/183.91 [6126]~P17(x61262,x61265,x61263)+E(x61261,f178(f906(x61262,a895)))+~P1(f317(f28(x61262),x61261))+E(f317(x61263,f317(f317(f299(x61262),x61264),x61261)),f317(f317(x61265,x61264),f317(x61263,x61261)))
% 184.03/183.91 [6923]~E(x69231,x69232)+~E(f317(f317(f92(f906(x69233,a895)),x69234),x69235),f178(f906(x69233,a895)))+~P1(f317(f317(f319(x69233),x69232),x69235))+~P1(f317(f317(f319(x69233),x69231),x69234))
% 184.03/183.91 [7006]~P18(x70062,x70065,x70061)+~P1(f317(f28(x70062),x70064))+E(f317(x70061,f317(f317(f299(x70062),x70063),x70064)),f317(f317(f58(x70062,x70062,x70065),x70063),x70064))+P1(f317(f317(f319(x70062),x70063),x70064))
% 184.03/183.91 [7075]~P70(x70752)+~P1(f317(f28(x70751),x70755))+E(f317(f317(f8(x70751,x70752),x70753),f317(f317(f299(x70751),x70754),x70755)),f317(f317(f74(x70752),f317(x70753,x70754)),f317(f317(f8(x70751,x70752),x70753),x70755)))+P1(f317(f317(f319(x70751),x70754),x70755))
% 184.03/183.91 [7077]~P74(x70772)+~P1(f317(f28(x70771),x70775))+E(f317(f317(f11(x70771,x70772),x70773),f317(f317(f299(x70771),x70774),x70775)),f317(f317(f75(x70772),f317(x70773,x70774)),f317(f317(f11(x70771,x70772),x70773),x70775)))+P1(f317(f317(f319(x70771),x70774),x70775))
% 184.03/183.91 [7481]~P120(x74811)+~P1(f317(f28(x74814),x74815))+~P1(f317(f317(f319(x74814),x74813),x74815))+P1(f317(f317(f277(x74811),f317(x74812,x74813)),f317(f317(f11(x74814,x74811),x74812),x74815)))
% 184.03/183.91 [7580]~P18(x75802,x75805,x75801)+~P1(f317(f28(x75802),x75804))+E(f317(x75801,f317(f317(f299(x75802),x75803),x75804)),x75803)+~E(f317(f317(f3(f906(x75802,a895)),x75804),f317(f317(f299(x75802),x75803),f178(f906(x75802,a895)))),f178(f906(x75802,a895)))
% 184.03/183.91 [7914]~P120(x79141)+~P1(f317(f317(f277(x79141),x79142),x79144))+~P1(f317(f317(f224(a899),x79143),x79145))+P1(f317(f317(f277(x79141),f317(f317(f234(x79141),x79142),x79143)),f317(f317(f234(x79141),x79144),x79145)))
% 184.03/183.91 [7942]~P3(x79421)+E(f317(f317(f30(x79421),f317(f317(f75(x79421),x79422),x79423)),f317(f317(f75(x79421),x79424),x79425)),f317(f317(f75(x79421),f317(f317(f30(x79421),x79422),x79424)),f317(f317(f30(x79421),x79423),x79425)))+~P1(f317(f317(f277(x79421),x79425),x79423))+~P1(f317(f317(f277(x79421),x79424),x79422))
% 184.03/183.91 [7946]~P84(x79461)+~P1(f317(f317(f224(x79461),x79463),x79465))+~P1(f317(f317(f224(x79461),x79462),x79464))+P1(f317(f317(f224(x79461),f317(f317(f74(x79461),x79462),x79463)),f317(f317(f74(x79461),x79464),x79465)))
% 184.03/183.91 [7947]~P107(x79471)+~P1(f317(f317(f224(x79471),x79473),x79475))+~P1(f317(f317(f224(x79471),x79472),x79474))+P1(f317(f317(f224(x79471),f317(f317(f228(x79471),x79472),x79473)),f317(f317(f228(x79471),x79474),x79475)))
% 184.03/183.91 [7948]~P97(x79481)+~P1(f317(f317(f224(x79481),x79483),x79485))+~P1(f317(f317(f224(x79481),x79482),x79484))+P1(f317(f317(f224(x79481),f317(f317(f91(x79481),x79482),x79483)),f317(f317(f91(x79481),x79484),x79485)))
% 184.03/183.91 [7949]~P107(x79491)+~P1(f317(f317(f224(x79491),x79493),x79495))+~P1(f317(f317(f224(x79491),x79492),x79494))+P1(f317(f317(f224(x79491),f317(f317(f223(x79491),x79492),x79493)),f317(f317(f223(x79491),x79494),x79495)))
% 184.03/183.91 [7950]~P103(x79501)+~P1(f317(f317(f224(x79501),x79503),x79505))+~P1(f317(f317(f224(x79501),x79502),x79504))+P1(f317(f317(f224(x79501),f317(f317(f92(x79501),x79502),x79503)),f317(f317(f92(x79501),x79504),x79505)))
% 184.03/183.91 [7951]~P82(x79511)+~P1(f317(f317(f224(x79511),x79513),x79515))+~P1(f317(f317(f225(x79511),x79512),x79514))+P1(f317(f317(f225(x79511),f317(f317(f74(x79511),x79512),x79513)),f317(f317(f74(x79511),x79514),x79515)))
% 184.03/183.91 [7952]~P82(x79521)+~P1(f317(f317(f224(x79521),x79522),x79524))+~P1(f317(f317(f225(x79521),x79523),x79525))+P1(f317(f317(f225(x79521),f317(f317(f74(x79521),x79522),x79523)),f317(f317(f74(x79521),x79524),x79525)))
% 184.03/183.91 [7953]~P82(x79531)+~P1(f317(f317(f225(x79531),x79533),x79535))+~P1(f317(f317(f225(x79531),x79532),x79534))+P1(f317(f317(f225(x79531),f317(f317(f74(x79531),x79532),x79533)),f317(f317(f74(x79531),x79534),x79535)))
% 184.03/183.91 [7954]~P120(x79541)+~P1(f317(f317(f277(x79541),x79543),x79545))+~P1(f317(f317(f277(x79541),x79542),x79544))+P1(f317(f317(f277(x79541),f317(f317(f75(x79541),x79542),x79543)),f317(f317(f75(x79541),x79544),x79545)))
% 184.03/183.91 [8090]~P143(x80905)+E(x80901,x80902)+E(x80903,x80904)+~E(f317(f317(f74(x80905),f317(f317(f75(x80905),x80903),x80901)),f317(f317(f75(x80905),x80904),x80902)),f317(f317(f74(x80905),f317(f317(f75(x80905),x80903),x80902)),f317(f317(f75(x80905),x80904),x80901)))
% 184.03/183.91 [8294]~P107(x82944)+~P1(f317(f127(x82941),x82943))+P1(f317(f317(f319(x82941),x82942),f317(f162(x82941),x82943)))+P1(f317(f127(x82941),f317(f317(f138(x82941,x82944,x82945),x82942),x82943)))
% 184.03/183.91 [8440]~P67(x84401)+E(f317(f317(f3(x84401),f317(f317(f8(a899,x84401),x84402),f317(f292(a899,x84403),x84404))),f317(f317(f8(a899,x84401),x84402),f317(f292(a899,x84403),x84405))),f317(f317(f8(a899,x84401),x84402),f317(f292(a899,x84405),x84404)))+~P1(f317(f317(f224(a899),x84405),x84404))+~P1(f317(f317(f224(a899),x84403),x84405))
% 184.03/183.91 [8441]~P70(x84411)+E(f317(f317(f74(x84411),f317(f317(f8(a899,x84411),x84412),f317(f292(a899,x84413),x84414))),f317(f317(f8(a899,x84411),x84412),f317(f292(a899,x84414),x84415))),f317(f317(f8(a899,x84411),x84412),f317(f292(a899,x84413),x84415)))+~P1(f317(f317(f224(a899),x84414),x84415))+~P1(f317(f317(f224(a899),x84413),x84414))
% 184.03/183.91 [8771]~P62(x87712)+E(x87711,f2(x87712))+E(x87713,f2(x87712))+E(f317(f317(f281(x87712),f317(f317(f3(x87712),f317(f317(f75(x87712),x87714),x87711)),f317(f317(f75(x87712),x87715),x87713))),f317(f317(f75(x87712),x87713),x87711)),f317(f317(f3(x87712),f317(f317(f281(x87712),x87714),x87713)),f317(f317(f281(x87712),x87715),x87711)))
% 184.03/183.91 [8772]~P62(x87722)+E(x87721,f2(x87722))+E(x87723,f2(x87722))+E(f317(f317(f281(x87722),f317(f317(f74(x87722),f317(f317(f75(x87722),x87724),x87721)),f317(f317(f75(x87722),x87725),x87723))),f317(f317(f75(x87722),x87723),x87721)),f317(f317(f74(x87722),f317(f317(f281(x87722),x87724),x87723)),f317(f317(f281(x87722),x87725),x87721)))
% 184.03/183.91 [8781]~E(x87812,f317(x87813,x87811))+E(x87811,f510(x87812,x87813,x87814,x87815))+~P24(x87815,x87814,x87813,f232(f906(x87815,a895)))+~P1(f317(f317(f319(x87814),x87812),f317(f300(x87815,x87814,x87813),f232(f906(x87815,a895)))))
% 184.03/183.91 [8998]~P113(x89981)+~P1(f317(f317(f225(x89981),f317(f70(x89981),x89982)),x89984))+P1(f317(f317(f225(x89981),f317(f317(f75(x89981),f317(f70(x89981),x89982)),f317(f70(x89981),x89983))),f317(f317(f75(x89981),x89984),x89985)))+~P1(f317(f317(f225(x89981),f317(f70(x89981),x89983)),x89985))
% 184.03/183.91 [9109]~P24(x91091,x91093,x91095,x91092)+~P1(f317(f28(x91093),x91094))+P1(f317(f317(f224(a899),f317(f29(x91091),x91092)),f317(f29(x91093),x91094)))+~P1(f317(f317(f224(f906(x91093,a895)),f317(f300(x91091,x91093,x91095),x91092)),x91094))
% 184.03/183.91 [9176]~P70(x91762)+~P24(x91761,x91761,x91764,x91765)+~P1(f317(f28(x91761),x91765))+E(f317(f317(f8(x91761,x91762),f317(f67(x91761,x91762,x91761,x91763),x91764)),x91765),f317(f317(f8(x91761,x91762),x91763),f317(f300(x91761,x91761,x91764),x91765)))
% 184.03/183.91 [9177]~P74(x91772)+~P24(x91771,x91771,x91774,x91775)+~P1(f317(f28(x91771),x91775))+E(f317(f317(f11(x91771,x91772),f317(f67(x91771,x91772,x91771,x91773),x91774)),x91775),f317(f317(f11(x91771,x91772),x91773),f317(f300(x91771,x91771,x91774),x91775)))
% 184.03/183.91 [9295]~P36(x92951,x92952)+~P1(f317(f317(f319(x92951),x92953),x92954))+~P1(f317(f317(f319(x92951),x92955),x92954))+~P1(f317(f317(f319(f905(x92951,x92951)),f317(f317(f242(x92951,x92951),x92955),f593(x92952,x92951,x92954))),x92952))
% 184.03/183.91 [9332]~P24(x93322,x93323,x93325,x93321)+E(x93321,f178(f906(x93322,a895)))+E(f317(f300(x93323,x93322,f512(x93324,x93323,x93322,x93321)),x93324),x93321)+~P1(f317(f317(f224(f906(x93323,a895)),f317(f300(x93322,x93323,x93325),x93321)),x93324))
% 184.03/183.91 [9828]~P107(x98285)+~P5(x98285)+P1(f317(f317(f319(x98281),f479(x98282,x98283,x98281,x98284,x98285)),x98283))+~P1(f317(f317(f225(x98285),x98284),f317(f317(f35(x98281,x98285),x98283),x98282)))
% 184.03/183.91 [9833]~P107(x98331)+~P5(x98331)+P1(f317(f317(f225(x98331),x98332),f317(x98333,f479(x98333,x98334,x98335,x98332,x98331))))+~P1(f317(f317(f225(x98331),x98332),f317(f317(f35(x98335,x98331),x98334),x98333)))
% 184.03/183.91 [9912]~P68(x99121)+~P1(f317(f60(x99121,x99121,f75(x99121),x99122,x99123),x99125))+P1(f317(f317(f319(x99121),x99122),x99123))+P1(f317(f60(x99121,x99121,f75(x99121),x99124,f317(f317(f299(x99121),x99122),x99123)),f317(f317(f75(x99121),x99124),x99125)))
% 184.03/183.91 [10124]~P70(x101242)+~P1(f317(f28(x101241),x101245))+E(f317(f317(f8(x101241,x101242),f317(f317(f9(x101241,x101242,x101242),f317(f317(f20(x101241,x101242,f906(x101242,x101242)),f317(f317(f10(a895,f906(x101242,f906(x101242,x101242)),x101241),f86(x101242)),f317(a314,x101243))),x101244)),f2(x101242))),x101245),f2(x101242))+P1(f317(f317(f319(x101241),x101243),x101245))
% 184.03/183.91 [10125]~P74(x101252)+~P1(f317(f28(x101251),x101255))+E(f317(f317(f11(x101251,x101252),f317(f317(f9(x101251,x101252,x101252),f317(f317(f20(x101251,x101252,f906(x101252,x101252)),f317(f317(f10(a895,f906(x101252,f906(x101252,x101252)),x101251),f86(x101252)),f317(a314,x101253))),x101254)),f72(x101252))),x101255),f72(x101252))+P1(f317(f317(f319(x101251),x101253),x101255))
% 184.03/183.91 [10126]~P70(x101262)+~P1(f317(f28(x101261),x101265))+E(f317(f317(f8(x101261,x101262),f317(f317(f9(x101261,x101262,x101262),f317(f317(f20(x101261,x101262,f906(x101262,x101262)),f317(f317(f10(a895,f906(x101262,f906(x101262,x101262)),x101261),f86(x101262)),f317(a314,x101263))),x101264)),f2(x101262))),x101265),f317(x101264,x101263))+~P1(f317(f317(f319(x101261),x101263),x101265))
% 184.03/183.91 [10127]~P74(x101272)+~P1(f317(f28(x101271),x101275))+E(f317(f317(f11(x101271,x101272),f317(f317(f9(x101271,x101272,x101272),f317(f317(f20(x101271,x101272,f906(x101272,x101272)),f317(f317(f10(a895,f906(x101272,f906(x101272,x101272)),x101271),f86(x101272)),f317(a314,x101273))),x101274)),f72(x101272))),x101275),f317(x101274,x101273))+~P1(f317(f317(f319(x101271),x101273),x101275))
% 184.03/183.91 [10185]~P70(x101852)+~P1(f317(f28(x101851),x101855))+E(f317(f317(f8(x101851,x101852),f317(f317(f9(x101851,x101852,x101852),f317(f317(f20(x101851,x101852,f906(x101852,x101852)),f317(f317(f10(a895,f906(x101852,f906(x101852,x101852)),x101851),f86(x101852)),f317(f317(f9(x101851,x101851,a895),a314),x101853))),x101854)),f2(x101852))),x101855),f2(x101852))+P1(f317(f317(f319(x101851),x101853),x101855))
% 184.03/183.91 [10186]~P74(x101862)+~P1(f317(f28(x101861),x101865))+E(f317(f317(f11(x101861,x101862),f317(f317(f9(x101861,x101862,x101862),f317(f317(f20(x101861,x101862,f906(x101862,x101862)),f317(f317(f10(a895,f906(x101862,f906(x101862,x101862)),x101861),f86(x101862)),f317(f317(f9(x101861,x101861,a895),a314),x101863))),x101864)),f72(x101862))),x101865),f72(x101862))+P1(f317(f317(f319(x101861),x101863),x101865))
% 184.03/183.91 [10188]~P70(x101882)+~P1(f317(f28(x101881),x101885))+E(f317(f317(f8(x101881,x101882),f317(f317(f9(x101881,x101882,x101882),f317(f317(f20(x101881,x101882,f906(x101882,x101882)),f317(f317(f10(a895,f906(x101882,f906(x101882,x101882)),x101881),f86(x101882)),f317(f317(f9(x101881,x101881,a895),a314),x101883))),x101884)),f2(x101882))),x101885),f317(x101884,x101883))+~P1(f317(f317(f319(x101881),x101883),x101885))
% 184.03/183.91 [10189]~P74(x101892)+~P1(f317(f28(x101891),x101895))+E(f317(f317(f11(x101891,x101892),f317(f317(f9(x101891,x101892,x101892),f317(f317(f20(x101891,x101892,f906(x101892,x101892)),f317(f317(f10(a895,f906(x101892,f906(x101892,x101892)),x101891),f86(x101892)),f317(f317(f9(x101891,x101891,a895),a314),x101893))),x101894)),f72(x101892))),x101895),f317(x101894,x101893))+~P1(f317(f317(f319(x101891),x101893),x101895))
% 184.03/183.91 [7945]~P67(x79452)+~P1(f317(f28(x79451),x79454))+E(f317(f317(f8(x79451,x79452),x79453),f317(f317(f3(f906(x79451,a895)),x79454),f317(f317(f299(x79451),x79455),f178(f906(x79451,a895))))),f317(f317(f8(x79451,x79452),x79453),x79454))+P1(f317(f317(f319(x79451),x79455),x79454))
% 184.03/183.91 [8448]~P110(x84482)+~P1(f317(f28(x84481),x84484))+E(f317(f317(f8(x84481,x84482),x84483),f317(f317(f3(f906(x84481,a895)),x84484),f317(f317(f299(x84481),x84485),f178(f906(x84481,a895))))),f317(f317(f3(x84482),f317(f317(f8(x84481,x84482),x84483),x84484)),f317(x84483,x84485)))+~P1(f317(f317(f319(x84481),x84485),x84484))
% 184.03/183.91 [8449]~P67(x84492)+~P1(f317(f28(x84491),x84494))+E(f317(f317(f8(x84491,x84492),x84493),f317(f317(f3(f906(x84491,a895)),x84494),f317(f317(f299(x84491),x84495),f178(f906(x84491,a895))))),f317(f317(f3(x84492),f317(f317(f8(x84491,x84492),x84493),x84494)),f317(x84493,x84495)))+~P1(f317(f317(f319(x84491),x84495),x84494))
% 184.03/183.91 [8461]~P120(x84611)+~P1(f317(f317(f224(a899),x84613),x84615))+~P1(f317(f317(f277(x84611),f317(f317(f234(x84611),x84612),x84615)),x84614))+P1(f317(f317(f277(x84611),f317(f317(f234(x84611),x84612),x84613)),x84614))
% 184.03/183.91 [8479]~P67(x84791)+~P1(f317(f28(x84792),x84794))+E(f317(f317(f3(x84791),f317(f317(f8(x84792,x84791),x84793),x84794)),f317(f317(f8(x84792,x84791),x84793),x84795)),f317(f317(f8(x84792,x84791),x84793),f317(f317(f3(f906(x84792,a895)),x84794),x84795)))+~P1(f317(f317(f224(f906(x84792,a895)),x84795),x84794))
% 184.03/183.91 [8498]P1(f317(f28(x84981),f317(x84982,x84983)))+~P1(f317(f28(x84984),x84985))+~P1(f317(f317(f319(x84984),x84983),x84985))+~P1(f317(f28(x84981),f317(f317(f35(x84984,f906(x84981,a895)),x84985),x84982)))
% 184.03/183.91 [8954]~P8(x89541,x89545,x89544)+~E(f317(f275(x89541,x89541,x89544),f317(f317(f299(x89541),x89542),f178(f906(x89541,a895)))),f317(f275(x89541,x89541,x89544),f317(f317(f299(x89541),x89543),f178(f906(x89541,a895)))))+~P1(f317(f317(f319(x89541),x89543),x89545))+P1(f317(f317(f319(f905(x89541,x89541)),f317(f317(f242(x89541,x89541),x89542),x89543)),x89544))
% 184.03/183.91 [9251]~P1(f317(x92511,x92515))+P1(f317(x92511,f389(x92511,x92512,x92513,x92514)))+P1(f317(x92511,f386(x92511,x92512,x92513,x92514)))+~P1(f317(f317(f319(x92514),x92515),f317(f317(f91(f906(x92514,a895)),x92513),x92512)))
% 184.03/183.91 [9440]~P1(f317(x94401,x94405))+P1(f317(x94401,f386(x94401,x94402,x94403,x94404)))+P1(f317(f317(f319(x94404),f389(x94401,x94402,x94403,x94404)),x94402))+~P1(f317(f317(f319(x94404),x94405),f317(f317(f91(f906(x94404,a895)),x94403),x94402)))
% 184.03/183.91 [9441]~P1(f317(x94411,x94415))+P1(f317(x94411,f389(x94411,x94412,x94413,x94414)))+P1(f317(f317(f319(x94414),f386(x94411,x94412,x94413,x94414)),x94413))+~P1(f317(f317(f319(x94414),x94415),f317(f317(f91(f906(x94414,a895)),x94413),x94412)))
% 184.03/183.91 [9445]P1(f317(x94451,x94452))+~P1(f317(x94451,f388(x94451,x94453,x94454,x94455)))+~P1(f317(x94451,f387(x94451,x94453,x94454,x94455)))+~P1(f317(f317(f319(x94455),x94452),f317(f317(f91(f906(x94455,a895)),x94454),x94453)))
% 184.03/183.91 [9450]~P37(x94501,x94504)+~P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94502),x94505)),x94504))+P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94502),x94503)),x94504))+~P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94505),x94503)),x94504))
% 184.03/183.91 [9489]E(x94891,x94892)+~P1(f317(f317(f319(f905(x94893,x94893)),f317(f317(f242(x94893,x94893),x94891),x94892)),f297(x94893,x94895)))+P1(f317(f317(f319(x94893),x94891),x94894))+~P1(f317(f317(f224(f906(f905(x94893,x94893),a895)),x94895),f317(f317(f244(x94893,x94893),x94894),f317(f18(f906(x94893,a895),x94893),x94894))))
% 184.03/183.91 [9507]P1(f317(x95071,x95072))+~P1(f317(x95071,f387(x95071,x95074,x95075,x95073)))+P1(f317(f317(f319(x95073),f388(x95071,x95074,x95075,x95073)),x95074))+~P1(f317(f317(f319(x95073),x95072),f317(f317(f91(f906(x95073,a895)),x95075),x95074)))
% 184.03/183.91 [9508]P1(f317(x95081,x95082))+~P1(f317(x95081,f388(x95081,x95084,x95085,x95083)))+P1(f317(f317(f319(x95083),f387(x95081,x95084,x95085,x95083)),x95085))+~P1(f317(f317(f319(x95083),x95082),f317(f317(f91(f906(x95083,a895)),x95085),x95084)))
% 184.03/183.91 [9576]P1(f317(x95761,x95762))+P1(f317(f317(f319(x95763),f388(x95761,x95764,x95765,x95763)),x95764))+P1(f317(f317(f319(x95763),f387(x95761,x95764,x95765,x95763)),x95765))+~P1(f317(f317(f319(x95763),x95762),f317(f317(f91(f906(x95763,a895)),x95765),x95764)))
% 184.03/183.91 [9578]~P1(f317(x95782,x95785))+P1(f317(f317(f319(x95781),f389(x95782,x95783,x95784,x95781)),x95783))+P1(f317(f317(f319(x95781),f386(x95782,x95783,x95784,x95781)),x95784))+~P1(f317(f317(f319(x95781),x95785),f317(f317(f91(f906(x95781,a895)),x95784),x95783)))
% 184.03/183.91 [9735]~P8(x97351,x97355,x97354)+~P1(f317(f317(f319(x97351),x97353),x97355))+P1(f317(f317(f319(f905(x97351,x97351)),f317(f317(f242(x97351,x97351),x97352),x97353)),x97354))+~P1(f317(f317(f224(f906(x97351,a895)),f317(f275(x97351,x97351,x97354),f317(f317(f299(x97351),x97353),f178(f906(x97351,a895))))),f317(f275(x97351,x97351,x97354),f317(f317(f299(x97351),x97352),f178(f906(x97351,a895))))))
% 184.03/183.91 [9862]~P107(x98625)+~P5(x98625)+P1(f317(f317(f319(x98621),f480(x98622,x98623,x98624,x98621,x98625)),x98624))+~P1(f317(f317(f225(x98625),f317(f317(f34(x98621,x98625),x98624),x98623)),x98622))
% 184.03/183.91 [9895]~P84(x98955)+~P81(x98955)+P1(f317(f317(f319(x98951),f677(x98952,x98953,x98954,x98951,x98955)),f317(f162(x98951),x98954)))+P1(f317(f317(f224(x98955),f317(f155(x98955),f317(f317(f144(x98951,x98955),x98953),x98954))),f317(f155(x98955),f317(f317(f144(x98951,x98955),x98952),x98954))))
% 184.03/183.91 [10003]~P107(x100031)+~P5(x100031)+P1(f317(f317(f225(x100031),f317(x100032,f480(x100033,x100032,x100034,x100035,x100031))),x100033))+~P1(f317(f317(f225(x100031),f317(f317(f34(x100035,x100031),x100034),x100032)),x100033))
% 184.03/183.91 [10142]~P84(x101421)+~P81(x101421)+~P1(f317(f317(f224(x101421),f317(x101423,f677(x101425,x101423,x101424,x101422,x101421))),f317(x101425,f677(x101425,x101423,x101424,x101422,x101421))))+P1(f317(f317(f224(x101421),f317(f155(x101421),f317(f317(f144(x101422,x101421),x101423),x101424))),f317(f155(x101421),f317(f317(f144(x101422,x101421),x101425),x101424))))
% 184.03/183.91 [8794]~P70(x87941)+~P1(f317(f28(x87944),x87945))+~P1(f317(f317(f319(x87944),x87943),x87945))+E(f317(f317(f74(x87941),f317(x87942,x87943)),f317(f317(f8(x87944,x87941),x87942),f317(f317(f3(f906(x87944,a895)),x87945),f317(f317(f299(x87944),x87943),f178(f906(x87944,a895)))))),f317(f317(f8(x87944,x87941),x87942),x87945))
% 184.03/183.91 [8795]~P74(x87951)+~P1(f317(f28(x87954),x87955))+~P1(f317(f317(f319(x87954),x87953),x87955))+E(f317(f317(f75(x87951),f317(x87952,x87953)),f317(f317(f11(x87954,x87951),x87952),f317(f317(f3(f906(x87954,a895)),x87955),f317(f317(f299(x87954),x87953),f178(f906(x87954,a895)))))),f317(f317(f11(x87954,x87951),x87952),x87955))
% 184.03/183.91 [8855]~P18(x88551,x88554,x88555)+~P1(f317(f28(x88551),x88552))+E(f317(f317(f3(f906(x88551,a895)),x88552),f317(f317(f299(x88551),x88553),f178(f906(x88551,a895)))),f178(f906(x88551,a895)))+E(f317(f317(x88554,x88553),f317(x88555,f317(f317(f3(f906(x88551,a895)),x88552),f317(f317(f299(x88551),x88553),f178(f906(x88551,a895)))))),f317(x88555,f317(f317(f299(x88551),x88553),x88552)))
% 184.03/183.91 [9230]~P74(x92301)+~P1(f317(f28(x92302),x92305))+~P1(f317(f28(x92302),x92304))+E(f317(f317(f75(x92301),f317(f317(f11(x92302,x92301),x92303),f317(f317(f91(f906(x92302,a895)),x92304),x92305))),f317(f317(f11(x92302,x92301),x92303),f317(f317(f92(f906(x92302,a895)),x92304),x92305))),f317(f317(f75(x92301),f317(f317(f11(x92302,x92301),x92303),x92304)),f317(f317(f11(x92302,x92301),x92303),x92305)))
% 184.03/183.91 [9231]~P70(x92311)+~P1(f317(f28(x92312),x92315))+~P1(f317(f28(x92312),x92314))+E(f317(f317(f74(x92311),f317(f317(f8(x92312,x92311),x92313),f317(f317(f91(f906(x92312,a895)),x92314),x92315))),f317(f317(f8(x92312,x92311),x92313),f317(f317(f92(f906(x92312,a895)),x92314),x92315))),f317(f317(f74(x92311),f317(f317(f8(x92312,x92311),x92313),x92314)),f317(f317(f8(x92312,x92311),x92313),x92315)))
% 184.03/183.91 [9372]~P67(x93721)+~P1(f317(f28(x93722),x93725))+~P1(f317(f28(x93722),x93724))+E(f317(f317(f3(x93721),f317(f317(f74(x93721),f317(f317(f8(x93722,x93721),x93723),x93724)),f317(f317(f8(x93722,x93721),x93723),x93725))),f317(f317(f8(x93722,x93721),x93723),f317(f317(f92(f906(x93722,a895)),x93724),x93725))),f317(f317(f8(x93722,x93721),x93723),f317(f317(f91(f906(x93722,a895)),x93724),x93725)))
% 184.03/183.91 [9592]~P24(x95921,x95922,x95923,x95925)+~P24(x95921,x95922,x95923,x95924)+P24(x95921,x95922,x95923,f317(f317(f91(f906(x95921,a895)),x95924),x95925))+~E(f317(f317(f92(f906(x95922,a895)),f317(f300(x95921,x95922,x95923),f317(f317(f3(f906(x95921,a895)),x95924),x95925))),f317(f300(x95921,x95922,x95923),f317(f317(f3(f906(x95921,a895)),x95925),x95924))),f178(f906(x95922,a895)))
% 184.03/183.91 [9710]E(x97101,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),x97103))+~P1(f317(f44(x97102,x97101),f317(f317(f242(a1,a1),x97104),x97105)))+P1(f317(f44(x97102,f317(f317(f75(a1),x97101),x97103)),f317(f317(f242(a1,a1),f317(f317(f30(a1),x97104),x97103)),f317(f317(f74(a1),f317(f317(f75(a1),x97101),f40(a1,x97104,x97103))),x97105))))
% 184.03/183.91 [9718]~P1(f317(f317(f225(a899),f2(a899)),x97183))+~P1(f317(f317(f225(a899),f2(a899)),x97182))+~P1(f317(f43(x97181,x97182),f317(f317(f242(a899,a899),x97184),x97185)))+P1(f317(f43(x97181,f317(f317(f75(a899),x97182),x97183)),f317(f317(f242(a899,a899),f317(f317(f30(a899),x97184),x97183)),f317(f317(f74(a899),f317(f317(f75(a899),x97182),f40(a899,x97184,x97183))),x97185))))
% 184.03/183.91 [9767]~P74(x97671)+~P1(f317(f28(x97672),x97675))+~P1(f317(f28(x97672),x97674))+E(f317(f317(f75(x97671),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),f317(f317(f91(f906(x97672,a895)),x97674),x97675))),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),f317(f317(f92(f906(x97672,a895)),x97674),x97675))),f317(f317(f75(x97671),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),x97674)),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),x97675)))
% 184.03/183.91 [9769]~E(f317(f317(f165(x97691),x97695),x97692),f317(f317(f165(x97691),x97695),x97693))+P1(f317(f317(f319(f905(f900(x97691),f900(x97691))),f317(f317(f242(f900(x97691),f900(x97691)),x97692),x97693)),f137(x97691,x97694)))+~P1(f317(f317(f225(a899),x97695),f317(f317(f228(a899),f317(f179(f900(x97691)),x97692)),f317(f179(f900(x97691)),x97693))))+~P1(f317(f317(f319(f905(x97691,x97691)),f317(f317(f242(x97691,x97691),f317(f317(f154(x97691),x97692),x97695)),f317(f317(f154(x97691),x97693),x97695))),x97694))
% 184.03/183.91 [9884]~P84(x98845)+~P145(x98845)+P1(f317(f317(f319(x98841),f879(x98842,x98843,x98844,x98841,x98845)),x98844))+P1(f317(f317(f224(x98845),f317(f317(f8(x98841,x98845),x98843),x98844)),f317(f317(f75(x98845),f317(f90(x98845),f317(f29(x98841),x98844))),x98842)))
% 184.03/183.91 [10060]~P84(x100601)+~P145(x100601)+~P1(f317(f317(f224(x100601),f317(x100603,f879(x100605,x100603,x100604,x100602,x100601))),x100605))+P1(f317(f317(f224(x100601),f317(f317(f8(x100602,x100601),x100603),x100604)),f317(f317(f75(x100601),f317(f90(x100601),f317(f29(x100602),x100604))),x100605)))
% 184.03/183.91 [8823]E(f317(f317(f124(x88231),x88232),x88233),f317(f317(f124(x88231),x88234),x88235))+~E(f317(f317(f165(x88231),f317(f179(f900(x88231)),x88232)),x88234),x88232)+~E(f317(f317(f124(x88231),f317(f317(f128(x88231),f317(f179(f900(x88231)),x88232)),x88234)),x88235),x88233)+P1(f317(f317(f224(a899),f317(f179(f900(x88231)),x88234)),f317(f179(f900(x88231)),x88232)))
% 184.03/183.91 [8953]E(f317(f317(f124(x89531),x89532),x89533),f317(f317(f124(x89531),x89534),x89535))+~E(f317(f317(f165(x89531),f317(f179(f900(x89531)),x89532)),x89534),x89532)+~E(x89533,f317(f317(f124(x89531),f317(f317(f128(x89531),f317(f179(f900(x89531)),x89532)),x89534)),x89535))+~P1(f317(f317(f224(a899),f317(f179(f900(x89531)),x89532)),f317(f179(f900(x89531)),x89534)))
% 184.03/183.91 [10206]~P1(f317(x102065,x102064))+~P1(f317(f28(x102062),f317(f252(x102062),x102065)))+P1(f317(f28(x102061),f317(f252(x102061),f317(f317(f9(x102061,x102062,a895),x102063),x102064))))+~P1(f317(f28(x102061),f317(f252(x102061),f317(f317(f10(f906(x102062,a895),a895,x102061),f81(x102062)),f317(f317(f10(f906(x102062,a895),f906(x102062,a895),x102061),f317(f20(x102062,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102062),a315),x102065))),x102063)))))
% 184.03/183.91 [10282]~P1(f317(f28(x102822),x102825))+~P1(f317(f317(f319(x102822),x102824),x102825))+P1(f317(f28(x102821),f317(f252(x102821),f317(f317(f9(x102821,x102822,a895),x102823),x102824))))+~P1(f317(f28(x102821),f317(f252(x102821),f317(f317(f10(f906(x102822,a895),a895,x102821),f81(x102822)),f317(f317(f10(f906(x102822,a895),f906(x102822,a895),x102821),f317(f20(x102822,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102822),a315),f317(f317(f9(x102822,f906(x102822,a895),a895),f319(x102822)),x102825)))),x102823)))))
% 184.03/183.91 [8609]~P19(x86095,x86091,x86096,x86092)+E(f317(f67(x86091,x86091,x86091,f317(x86092,x86093)),f317(x86092,x86094)),f317(f67(x86091,x86091,x86091,f317(x86092,x86094)),f317(x86092,x86093)))+~P1(f317(f28(x86095),x86094))+~P1(f317(f28(x86095),x86093))
% 184.03/183.91 [8001]~P24(x80011,x80012,x80014,x80013)+~E(f317(x80014,x80016),x80015)+E(f317(f71(x80011,x80012,x80013,x80014),x80015),x80016)+~P1(f317(f317(f319(x80011),x80016),x80013))
% 184.03/183.91 [8002]~P24(x80021,x80022,x80024,x80023)+~E(f317(x80024,x80026),x80025)+E(f317(f85(x80021,x80022,x80023,x80024),x80025),x80026)+~P1(f317(f317(f319(x80021),x80026),x80023))
% 184.03/183.91 [8195]~P20(x81956,x81951,x81954,x81952)+E(f317(f67(x81951,x81951,x81951,f317(x81952,x81953)),f317(x81954,x81955)),f317(x81952,x81953))+~P1(f317(f28(x81956),x81953))+~P1(f317(f317(f319(x81956),x81955),x81953))
% 184.03/183.91 [9323]E(x93231,x93232)+~E(f317(f85(x93233,x93234,x93235,x93236),x93231),f317(f85(x93233,x93234,x93235,x93236),x93232))+~P1(f317(f317(f319(x93234),x93232),f317(f300(x93233,x93234,x93236),x93235)))+~P1(f317(f317(f319(x93234),x93231),f317(f300(x93233,x93234,x93236),x93235)))
% 184.03/183.91 [9424]~P19(x94243,x94241,x94246,x94242)+E(f317(f67(x94241,x94241,x94241,f317(x94242,f317(f317(f3(f906(x94243,a895)),x94244),f317(f317(f299(x94243),x94245),f178(f906(x94243,a895)))))),f317(x94246,x94245)),f317(x94242,x94244))+~P1(f317(f28(x94243),x94244))+~P1(f317(f317(f319(x94243),x94245),x94244))
% 184.03/183.91 [7082]~P4(x70821)+~E(f40(x70821,x70823,x70824),f40(x70821,x70826,x70824))+~E(f40(x70821,x70822,x70824),f40(x70821,x70825,x70824))+E(f40(x70821,f317(f317(f3(x70821),x70822),x70823),x70824),f40(x70821,f317(f317(f3(x70821),x70825),x70826),x70824))
% 184.03/183.91 [7083]~P3(x70831)+~E(f40(x70831,x70833,x70834),f40(x70831,x70836,x70834))+~E(f40(x70831,x70832,x70834),f40(x70831,x70835,x70834))+E(f40(x70831,f317(f317(f75(x70831),x70832),x70833),x70834),f40(x70831,f317(f317(f75(x70831),x70835),x70836),x70834))
% 184.03/183.91 [7084]~P3(x70841)+~E(f40(x70841,x70843,x70844),f40(x70841,x70846,x70844))+~E(f40(x70841,x70842,x70844),f40(x70841,x70845,x70844))+E(f40(x70841,f317(f317(f74(x70841),x70842),x70843),x70844),f40(x70841,f317(f317(f74(x70841),x70845),x70846),x70844))
% 184.03/183.91 [7896]~P16(x78961,x78962,x78963)+~P1(f317(f28(x78961),x78966))+E(f317(f317(f58(x78961,x78962,x78963),x78964),f317(f317(f299(x78961),x78965),x78966)),f317(f317(f58(x78961,x78962,x78963),f317(f317(x78963,x78965),x78964)),x78966))+P1(f317(f317(f319(x78961),x78965),x78966))
% 184.03/183.91 [7960]~P5(x79601)+P1(f317(f317(f224(x79601),x79602),f317(x79603,x79604)))+~P1(f317(f317(f319(x79605),x79604),x79606))+~P1(f317(f317(f224(x79601),x79602),f317(f317(f34(x79605,x79601),x79606),x79603)))
% 184.03/183.91 [8117]~P16(x81171,x81172,x81173)+~P1(f317(f28(x81171),x81176))+E(f317(f317(f58(x81171,x81172,x81173),x81174),f317(f317(f299(x81171),x81175),x81176)),f317(f317(x81173,x81175),f317(f317(f58(x81171,x81172,x81173),x81174),x81176)))+P1(f317(f317(f319(x81171),x81175),x81176))
% 184.03/183.91 [8213]~P107(x82133)+~P1(f317(x82132,x82135))+~P13(x82133,f317(f317(f144(x82131,x82133),x82134),x82136))+E(f317(f126(x82131,x82132),f317(f317(f138(x82131,x82133,x82134),x82135),x82136)),f317(f317(f138(x82131,x82133,x82134),x82135),f317(f126(x82131,x82132),x82136)))
% 184.03/183.91 [8236]E(x82361,x82362)+E(x82363,f2(a1))+~P1(f317(f44(x82364,x82363),f317(f317(f242(a1,a1),x82365),x82362)))+~P1(f317(f44(x82364,x82363),f317(f317(f242(a1,a1),x82366),x82361)))
% 184.03/183.91 [8237]E(x82371,x82372)+E(x82373,f2(a1))+~P1(f317(f44(x82374,x82373),f317(f317(f242(a1,a1),x82372),x82375)))+~P1(f317(f44(x82374,x82373),f317(f317(f242(a1,a1),x82371),x82376)))
% 184.03/183.91 [8260]~P19(x82602,x82605,x82606,x82601)+~P1(f317(f28(x82602),x82604))+E(f317(x82601,f317(f317(f299(x82602),x82603),x82604)),f317(f67(x82605,x82605,x82605,f317(x82601,x82604)),f317(x82606,x82603)))+P1(f317(f317(f319(x82602),x82603),x82604))
% 184.03/183.91 [8482]~P20(x84825,x84821,x84826,x84822)+E(f317(f67(x84821,x84821,x84821,f317(x84822,x84823)),f317(x84822,x84824)),f317(x84822,x84823))+~P1(f317(f28(x84825),x84823))+~P1(f317(f317(f224(f906(x84825,a895)),x84824),x84823))
% 184.03/183.91 [9639]~P24(x96391,x96392,x96394,x96393)+~P1(f317(f317(f319(x96392),x96395),f317(f300(x96391,x96392,x96394),x96393)))+P1(f317(f317(f319(x96391),f317(f71(x96391,x96392,x96393,x96394),x96395)),x96396))+~P1(f317(f317(f224(f906(x96391,a895)),x96393),x96396))
% 184.03/183.91 [10014]~P70(x100142)+~E(f579(x100141,x100143,x100145,x100146,x100144,x100142),f580(x100141,x100143,x100145,x100146,x100144,x100142))+~P1(f317(f28(x100144),x100146))+E(f317(f317(f8(x100141,x100142),x100143),f317(f300(x100144,x100141,x100145),x100146)),f317(f317(f8(x100144,x100142),f317(f67(x100141,x100142,x100144,x100143),x100145)),x100146))
% 184.03/183.91 [10042]~P70(x100426)+E(f317(x100421,f579(x100422,x100423,x100421,x100424,x100425,x100426)),f317(x100421,f580(x100422,x100423,x100421,x100424,x100425,x100426)))+E(f317(f317(f8(x100422,x100426),x100423),f317(f300(x100425,x100422,x100421),x100424)),f317(f317(f8(x100425,x100426),f317(f67(x100422,x100426,x100425,x100423),x100421)),x100424))+~P1(f317(f28(x100425),x100424))
% 184.03/183.91 [10092]~P70(x100922)+~E(f317(x100923,f317(x100925,f580(x100921,x100923,x100925,x100926,x100924,x100922))),f2(x100922))+~P1(f317(f28(x100924),x100926))+E(f317(f317(f8(x100921,x100922),x100923),f317(f300(x100924,x100921,x100925),x100926)),f317(f317(f8(x100924,x100922),f317(f67(x100921,x100922,x100924,x100923),x100925)),x100926))
% 184.03/183.91 [10150]~P70(x101502)+~P1(f317(f28(x101504),x101506))+E(f317(f317(f8(x101501,x101502),x101503),f317(f300(x101504,x101501,x101505),x101506)),f317(f317(f8(x101504,x101502),f317(f67(x101501,x101502,x101504,x101503),x101505)),x101506))+P1(f317(f317(f319(x101504),f580(x101501,x101503,x101505,x101506,x101504,x101502)),x101506))
% 184.03/183.91 [10151]~P70(x101512)+~P1(f317(f28(x101514),x101516))+E(f317(f317(f8(x101511,x101512),x101513),f317(f300(x101514,x101511,x101515),x101516)),f317(f317(f8(x101514,x101512),f317(f67(x101511,x101512,x101514,x101513),x101515)),x101516))+P1(f317(f317(f319(x101514),f579(x101511,x101513,x101515,x101516,x101514,x101512)),x101516))
% 184.03/183.91 [10281]~P74(x102811)+~P1(f317(f28(x102812),x102816))+E(f317(f317(f317(f59(x102811,x102812,f75(x102811)),f317(f317(f20(x102812,f906(x102813,a895),x102811),f317(f317(f9(x102812,x102811,f906(f906(x102813,a895),x102811)),f317(f317(f10(f906(x102813,x102811),f906(x102811,f906(f906(x102813,a895),x102811)),x102812),f59(x102811,x102813,f75(x102811))),x102814)),f72(x102811))),x102815)),f72(x102811)),x102816),f317(f317(f317(f59(x102811,f905(x102812,x102813),f75(x102811)),f317(f247(x102812,x102813,x102811),x102814)),f72(x102811)),f317(f317(f244(x102812,x102813),x102816),x102815)))+P1(f317(f317(f319(x102812),f534(x102814,x102815,x102813,x102816,x102812,x102811)),x102816))
% 184.03/183.91 [10303]~P74(x103031)+~P1(f317(f28(x103032),x103036))+E(f317(f317(f317(f59(x103031,x103032,f75(x103031)),f317(f317(f20(x103032,f906(x103033,a895),x103031),f317(f317(f9(x103032,x103031,f906(f906(x103033,a895),x103031)),f317(f317(f10(f906(x103033,x103031),f906(x103031,f906(f906(x103033,a895),x103031)),x103032),f59(x103031,x103033,f75(x103031))),x103034)),f72(x103031))),x103035)),f72(x103031)),x103036),f317(f317(f317(f59(x103031,f905(x103032,x103033),f75(x103031)),f317(f247(x103032,x103033,x103031),x103034)),f72(x103031)),f317(f317(f244(x103032,x103033),x103036),x103035)))+~P1(f317(f28(x103033),f317(x103035,f534(x103034,x103035,x103033,x103036,x103032,x103031))))
% 184.03/183.91 [8392]~P20(x83922,x83925,x83926,x83921)+~P1(f317(f28(x83922),x83924))+~P1(f317(f28(x83922),x83923))+E(f317(x83921,f317(f317(f91(f906(x83922,a895)),x83923),x83924)),f317(f67(x83925,x83925,x83925,f317(x83921,x83923)),f317(x83921,x83924)))
% 184.03/183.91 [8610]~P5(x86101)+P1(f317(f317(f224(x86101),f317(x86102,x86103)),x86104))+~P1(f317(f317(f319(x86105),x86103),x86106))+~P1(f317(f317(f224(x86101),f317(f317(f35(x86105,x86101),x86106),x86102)),x86104))
% 184.03/183.91 [9039]~P24(x90392,x90391,x90393,x90396)+E(f317(f317(f3(f906(x90391,a895)),f317(f300(x90392,x90391,x90393),x90394)),f317(f300(x90392,x90391,x90393),x90395)),f317(f300(x90392,x90391,x90393),f317(f317(f3(f906(x90392,a895)),x90394),x90395)))+~P1(f317(f317(f224(f906(x90392,a895)),x90395),x90396))+~P1(f317(f317(f224(f906(x90392,a895)),x90394),x90396))
% 184.03/183.91 [9040]~P24(x90402,x90401,x90403,x90406)+E(f317(f317(f92(f906(x90401,a895)),f317(f300(x90402,x90401,x90403),x90404)),f317(f300(x90402,x90401,x90403),x90405)),f317(f300(x90402,x90401,x90403),f317(f317(f92(f906(x90402,a895)),x90404),x90405)))+~P1(f317(f317(f224(f906(x90402,a895)),x90405),x90406))+~P1(f317(f317(f224(f906(x90402,a895)),x90404),x90406))
% 184.03/183.91 [9297]E(x92971,x92972)+~P54(x92973,x92974,x92975)+~P1(f317(f317(f319(f905(x92973,x92974)),f317(f317(f242(x92973,x92974),x92976),x92972)),x92975))+~P1(f317(f317(f319(f905(x92973,x92974)),f317(f317(f242(x92973,x92974),x92976),x92971)),x92975))
% 184.03/183.91 [10088]~P68(x100881)+~E(f317(x100883,f432(x100884,x100886,x100883,x100885,x100882,x100881)),f317(x100886,f432(x100884,x100886,x100883,x100885,x100882,x100881)))+~P1(f317(f28(x100882),x100885))+E(f317(f317(f317(f59(x100881,x100882,f75(x100881)),x100883),x100884),x100885),f317(f317(f317(f59(x100881,x100882,f75(x100881)),x100886),x100884),x100885))
% 184.03/183.91 [10148]~P68(x101481)+~P1(f317(f28(x101482),x101485))+E(f317(f317(f317(f59(x101481,x101482,f75(x101481)),x101483),x101484),x101485),f317(f317(f317(f59(x101481,x101482,f75(x101481)),x101486),x101484),x101485))+P1(f317(f317(f319(x101482),f432(x101484,x101483,x101486,x101485,x101482,x101481)),x101485))
% 184.03/183.91 [8837]~P68(x88371)+~P1(f317(f28(x88372),x88376))+P1(f317(f317(f319(x88372),x88375),x88376))+E(f317(f317(f317(f59(x88371,x88372,f75(x88371)),x88373),x88374),f317(f317(f299(x88372),x88375),x88376)),f317(f317(f75(x88371),f317(x88373,x88375)),f317(f317(f317(f59(x88371,x88372,f75(x88371)),x88373),x88374),x88376)))
% 184.03/183.91 [8890]~P8(x88901,x88906,x88903)+~P11(x88901,f906(x88902,a895),x88903,x88905)+~P1(f317(f317(f319(x88901),x88904),x88906))+E(f317(f317(f35(x88901,f906(x88902,a895)),f317(f275(x88901,x88901,x88903),f317(f317(f299(x88901),x88904),f178(f906(x88901,a895))))),x88905),f317(x88905,x88904))
% 184.03/183.91 [9016]~P16(x90163,x90164,x90161)+~P1(f317(f28(x90163),x90166))+~P1(f317(f317(f319(x90163),x90162),x90166))+E(f317(f317(x90161,x90162),f317(f317(f58(x90163,x90164,x90161),x90165),f317(f317(f3(f906(x90163,a895)),x90166),f317(f317(f299(x90163),x90162),f178(f906(x90163,a895)))))),f317(f317(f58(x90163,x90164,x90161),x90165),x90166))
% 184.03/183.91 [9307]~P19(x93073,x93071,x93076,x93072)+~P1(f317(f28(x93073),x93075))+~P1(f317(f28(x93073),x93074))+E(f317(f67(x93071,x93071,x93071,f317(x93072,f317(f317(f91(f906(x93073,a895)),x93074),x93075))),f317(x93072,f317(f317(f92(f906(x93073,a895)),x93074),x93075))),f317(f67(x93071,x93071,x93071,f317(x93072,x93074)),f317(x93072,x93075)))
% 184.03/183.91 [9663]~E(x96633,f317(f317(f149(x96631,x96632),x96635),x96636))+P1(f317(f317(f319(f905(f900(x96631),f900(x96631))),f317(f317(f242(f900(x96631),f900(x96631)),x96632),x96633)),f147(x96631,x96634)))+~P1(f317(f317(f225(a899),x96635),f317(f179(f900(x96631)),x96632)))+~P1(f317(f317(f319(f905(x96631,x96631)),f317(f317(f242(x96631,x96631),f317(f317(f154(x96631),x96632),x96635)),x96636)),x96634))
% 184.03/183.91 [10165]~P70(x101652)+~P1(f317(f28(x101651),x101656))+P1(f317(f317(f319(x101651),f531(x101654,x101655,x101653,x101656,x101651,x101652)),x101656))+E(f317(f317(f8(x101651,x101652),f317(f317(f20(x101651,f906(x101653,a895),x101652),f317(f317(f10(f906(x101653,x101652),f906(f906(x101653,a895),x101652),x101651),f8(x101653,x101652)),x101654)),x101655)),x101656),f317(f317(f8(f905(x101651,x101653),x101652),f317(f247(x101651,x101653,x101652),x101654)),f317(f317(f244(x101651,x101653),x101656),x101655)))
% 184.03/183.91 [10166]~P74(x101662)+~P1(f317(f28(x101661),x101666))+P1(f317(f317(f319(x101661),f532(x101664,x101665,x101663,x101666,x101661,x101662)),x101666))+E(f317(f317(f11(x101661,x101662),f317(f317(f20(x101661,f906(x101663,a895),x101662),f317(f317(f10(f906(x101663,x101662),f906(f906(x101663,a895),x101662),x101661),f11(x101663,x101662)),x101664)),x101665)),x101666),f317(f317(f11(f905(x101661,x101663),x101662),f317(f247(x101661,x101663,x101662),x101664)),f317(f317(f244(x101661,x101663),x101666),x101665)))
% 184.03/183.91 [10204]~P70(x102042)+~P1(f317(f28(x102041),x102046))+~P1(f317(f28(x102043),f317(x102045,f531(x102044,x102045,x102043,x102046,x102041,x102042))))+E(f317(f317(f8(x102041,x102042),f317(f317(f20(x102041,f906(x102043,a895),x102042),f317(f317(f10(f906(x102043,x102042),f906(f906(x102043,a895),x102042),x102041),f8(x102043,x102042)),x102044)),x102045)),x102046),f317(f317(f8(f905(x102041,x102043),x102042),f317(f247(x102041,x102043,x102042),x102044)),f317(f317(f244(x102041,x102043),x102046),x102045)))
% 184.03/183.91 [10205]~P74(x102052)+~P1(f317(f28(x102051),x102056))+~P1(f317(f28(x102053),f317(x102055,f532(x102054,x102055,x102053,x102056,x102051,x102052))))+E(f317(f317(f11(x102051,x102052),f317(f317(f20(x102051,f906(x102053,a895),x102052),f317(f317(f10(f906(x102053,x102052),f906(f906(x102053,a895),x102052),x102051),f11(x102053,x102052)),x102054)),x102055)),x102056),f317(f317(f11(f905(x102051,x102053),x102052),f317(f247(x102051,x102053,x102052),x102054)),f317(f317(f244(x102051,x102053),x102056),x102055)))
% 184.03/183.91 [10187]~P74(x101872)+~P1(f317(f28(x101871),x101876))+P1(f317(f317(f319(x101871),x101873),x101876))+E(f317(f317(f11(x101871,x101872),f317(f317(f9(x101871,x101872,x101872),f317(f317(f20(x101871,x101872,f906(x101872,x101872)),f317(f317(f10(a895,f906(x101872,f906(x101872,x101872)),x101871),f86(x101872)),f317(f317(f9(x101871,x101871,a895),a314),x101873))),x101874)),x101875)),x101876),f317(f317(f234(x101872),x101875),f317(f29(x101871),x101876)))
% 184.03/183.91 [10190]~P74(x101902)+~P1(f317(f28(x101901),x101906))+~P1(f317(f317(f319(x101901),x101903),x101906))+E(f317(f317(f11(x101901,x101902),f317(f317(f9(x101901,x101902,x101902),f317(f317(f20(x101901,x101902,f906(x101902,x101902)),f317(f317(f10(a895,f906(x101902,f906(x101902,x101902)),x101901),f86(x101902)),f317(f317(f9(x101901,x101901,a895),a314),x101903))),x101904)),x101905)),x101906),f317(f317(f75(x101902),f317(x101904,x101903)),f317(f317(f234(x101902),x101905),f317(f317(f3(a899),f317(f29(x101901),x101906)),f72(a899)))))
% 184.03/183.91 [10268]~P1(f317(f28(x102681),x102685))+~P1(f317(f28(x102682),x102683))+P1(f317(f317(f319(x102682),f533(x102686,x102684,x102683,x102682,x102685,x102681)),x102683))+E(f317(f317(f8(x102681,a899),f317(f317(f10(f906(x102682,a895),a899,x102681),f29(x102682)),f317(f317(f10(f906(x102682,a895),f906(x102682,a895),x102681),f252(x102682)),f317(f317(f10(f906(x102682,a895),f906(x102682,a895),x102681),f317(f20(x102682,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102682),a315),f317(f317(f9(x102682,f906(x102682,a895),a895),f319(x102682)),x102683)))),x102684)))),x102685),f317(f317(f75(a899),x102686),f317(f29(x102682),x102683)))
% 184.03/183.91 [10269]~P1(f317(f28(x102691),x102695))+~P1(f317(f28(x102692),x102693))+P1(f317(f317(f319(x102692),f538(x102696,x102694,x102693,x102692,x102695,x102691)),x102693))+E(f317(f317(f8(x102691,a899),f317(f317(f10(f906(x102692,a895),a899,x102691),f29(x102692)),f317(f317(f10(f906(x102692,a895),f906(x102692,a895),x102691),f252(x102692)),f317(f317(f10(f906(x102692,a895),f906(x102692,a895),x102691),f317(f20(x102692,a895,a895),f317(f317(f10(a895,f906(a895,a895),x102692),a315),f317(f317(f9(x102692,f906(x102692,a895),a895),f319(x102692)),x102693)))),x102694)))),x102695),f317(f317(f8(x102692,a899),x102696),x102693))
% 184.03/183.91 [10316]~P1(f317(f28(x103162),x103163))+~P1(f317(f28(x103161),x103165))+~E(f317(f29(x103161),f317(f252(x103161),f317(f317(f20(x103161,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103161),a315),f317(f317(f9(x103161,f906(x103161,a895),a895),f319(x103161)),x103165))),f317(f317(f9(x103161,x103162,a895),x103164),f533(x103166,x103164,x103163,x103162,x103165,x103161))))),x103166)+E(f317(f317(f8(x103161,a899),f317(f317(f10(f906(x103162,a895),a899,x103161),f29(x103162)),f317(f317(f10(f906(x103162,a895),f906(x103162,a895),x103161),f252(x103162)),f317(f317(f10(f906(x103162,a895),f906(x103162,a895),x103161),f317(f20(x103162,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103162),a315),f317(f317(f9(x103162,f906(x103162,a895),a895),f319(x103162)),x103163)))),x103164)))),x103165),f317(f317(f75(a899),x103166),f317(f29(x103162),x103163)))
% 184.03/183.91 [10318]~P1(f317(f28(x103182),x103183))+~P1(f317(f28(x103181),x103185))+~E(f317(f29(x103181),f317(f252(x103181),f317(f317(f20(x103181,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103181),a315),f317(f317(f9(x103181,f906(x103181,a895),a895),f319(x103181)),x103185))),f317(f317(f9(x103181,x103182,a895),x103184),f538(x103186,x103184,x103183,x103182,x103185,x103181))))),f317(x103186,f538(x103186,x103184,x103183,x103182,x103185,x103181)))+E(f317(f317(f8(x103181,a899),f317(f317(f10(f906(x103182,a895),a899,x103181),f29(x103182)),f317(f317(f10(f906(x103182,a895),f906(x103182,a895),x103181),f252(x103182)),f317(f317(f10(f906(x103182,a895),f906(x103182,a895),x103181),f317(f20(x103182,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103182),a315),f317(f317(f9(x103182,f906(x103182,a895),a895),f319(x103182)),x103183)))),x103184)))),x103185),f317(f317(f8(x103182,a899),x103186),x103183))
% 184.03/183.91 [9940]E(x99401,x99402)+~P16(x99403,x99404,x99405)+~P1(f317(f60(x99403,x99404,x99405,x99406,x99407),x99402))+~P1(f317(f60(x99403,x99404,x99405,x99406,x99407),x99401))
% 184.03/183.91 [9739]P1(f317(x97391,x97392))+~P1(f317(f317(f319(x97397),x97392),f317(x97396,x97394)))+~P1(f317(x97391,f473(x97391,x97396,x97395,x97393,x97397)))+~P1(f317(f317(f319(x97393),x97394),x97395))
% 184.03/183.91 [10179]~P16(x101797,x101796,x101791)+E(f317(f317(x101791,x101792),f433(x101792,x101793,x101794,x101795,x101791,x101796,x101797)),x101793)+~P1(f317(f60(x101797,x101796,x101791,x101795,x101794),x101793))+~P1(f317(f317(f319(x101797),x101792),x101794))
% 184.03/183.91 [10246]~P16(x102461,x102462,x102463)+~P1(f317(f60(x102461,x102462,x102463,x102464,x102465),x102467))+P1(f317(f60(x102461,x102462,x102463,x102464,f317(f317(f3(f906(x102461,a895)),x102465),f317(f317(f299(x102461),x102466),f178(f906(x102461,a895))))),f433(x102466,x102467,x102465,x102464,x102463,x102462,x102461)))+~P1(f317(f317(f319(x102461),x102466),x102465))
% 184.03/183.91 [9379]P25(x93791,x93792,x93793,x93794,x93795)+~P25(x93791,x93792,x93793,x93796,x93797)+~E(f317(f300(x93791,x93792,x93793),x93794),x93795)+~P1(f317(f317(f224(f906(x93791,a895)),x93794),x93796))
% 184.03/183.91 [9630]~P25(x96301,x96302,x96303,x96305,x96307)+~P25(x96301,x96302,x96303,x96304,x96306)+P25(x96301,x96302,x96303,f317(f317(f91(f906(x96301,a895)),x96304),x96305),f317(f317(f91(f906(x96302,a895)),x96306),x96307))+~E(f317(f317(f92(f906(x96302,a895)),x96306),x96307),f178(f906(x96302,a895)))
% 184.03/183.91 [9635]~P68(x96351)+~P24(x96355,x96352,x96356,x96357)+~P1(f317(f28(x96355),x96357))+E(f317(f317(f317(f59(x96351,x96352,f75(x96351)),x96353),x96354),f317(f300(x96355,x96352,x96356),x96357)),f317(f317(f317(f59(x96351,x96355,f75(x96351)),f317(f67(x96352,x96351,x96355,x96353),x96356)),x96354),x96357))
% 184.03/183.91 [9762]~E(f317(f317(f299(x97621),x97625),x97626),f317(f317(f299(x97621),x97622),x97623))+~P1(f317(f60(x97621,x97621,x97624,x97622,x97623),x97627))+P1(f317(f317(f319(x97621),x97622),x97623))+P1(f317(f56(x97621,x97624,f317(f317(f299(x97621),x97625),x97626)),x97627))
% 184.03/183.91 [9846]P1(f317(x98461,x98462))+~P1(f317(f317(f319(x98463),x98462),f317(x98464,x98467)))+~P1(f317(f317(f319(x98466),x98467),x98465))+P1(f317(f317(f319(x98463),f473(x98461,x98464,x98465,x98466,x98463)),f317(f317(f35(x98466,f906(x98463,a895)),x98465),x98464)))
% 184.03/183.91 [9863]~P24(x98632,x98631,x98635,x98634)+~P24(x98631,x98633,x98636,f317(f300(x98632,x98631,x98635),x98634))+E(f317(f317(f67(x98631,x98632,x98633,f71(x98632,x98631,x98634,x98635)),f71(x98631,x98633,f317(f300(x98632,x98631,x98635),x98634),x98636)),x98637),f317(f71(x98632,x98633,x98634,f317(f67(x98631,x98633,x98632,x98636),x98635)),x98637))+~P1(f317(f317(f319(x98633),x98637),f317(f300(x98631,x98633,x98636),f317(f300(x98632,x98631,x98635),x98634))))
% 184.03/183.91 [9864]~P24(x98642,x98641,x98645,x98644)+~P24(x98641,x98643,x98646,f317(f300(x98642,x98641,x98645),x98644))+E(f317(f317(f67(x98641,x98642,x98643,f85(x98642,x98641,x98644,x98645)),f85(x98641,x98643,f317(f300(x98642,x98641,x98645),x98644),x98646)),x98647),f317(f85(x98642,x98643,x98644,f317(f67(x98641,x98643,x98642,x98646),x98645)),x98647))+~P1(f317(f317(f319(x98643),x98647),f317(f300(x98641,x98643,x98646),f317(f300(x98642,x98641,x98645),x98644))))
% 184.03/183.91 [10180]~P16(x101807,x101806,x101801)+E(f317(f317(x101801,x101802),f490(x101803,x101804,x101802,x101805,x101801,x101806,x101807)),x101803)+P1(f317(f317(f319(x101807),x101802),x101804))+~P1(f317(f60(x101807,x101806,x101801,x101805,f317(f317(f299(x101807),x101802),x101804)),x101803))
% 184.03/183.91 [10245]~P16(x102451,x102454,x102455)+P1(f317(f60(x102451,x102454,x102455,x102456,x102453),f490(x102457,x102453,x102452,x102456,x102455,x102454,x102451)))+P1(f317(f317(f319(x102451),x102452),x102453))+~P1(f317(f60(x102451,x102454,x102455,x102456,f317(f317(f299(x102451),x102452),x102453)),x102457))
% 184.03/183.91 [9922]E(x99221,f2(a1))+~P1(f317(f44(x99223,x99221),f317(f317(f242(a1,a1),x99225),x99227)))+~P1(f317(f44(x99222,x99221),f317(f317(f242(a1,a1),x99224),x99226)))+P1(f317(f44(f317(f317(f74(a1),x99222),x99223),x99221),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99224),x99225)),f317(f317(f30(a1),f317(f317(f74(a1),x99226),x99227)),x99221))),f40(a1,f317(f317(f74(a1),x99226),x99227),x99221))))
% 184.03/183.91 [9924]~P1(f317(f317(f225(a899),f2(a899)),x99243))+~P1(f317(f43(x99242,x99243),f317(f317(f242(a899,a899),x99245),x99247)))+~P1(f317(f43(x99241,x99243),f317(f317(f242(a899,a899),x99244),x99246)))+P1(f317(f43(f317(f317(f74(a899),x99241),x99242),x99243),f317(f317(f242(a899,a899),f317(f317(f74(a899),f317(f317(f74(a899),x99244),x99245)),f317(f317(f30(a899),f317(f317(f74(a899),x99246),x99247)),x99243))),f40(a899,f317(f317(f74(a899),x99246),x99247),x99243))))
% 184.03/183.91 [10315]~P70(x103152)+~P1(f317(f28(x103153),x103155))+~P1(f317(f28(x103151),x103157))+E(f317(f317(f8(x103151,x103152),f317(f317(f20(x103151,f906(x103153,a895),x103152),f317(f317(f10(f906(x103153,x103152),f906(f906(x103153,a895),x103152),x103151),f8(x103153,x103152)),x103154)),f317(f317(f10(f906(x103153,a895),f906(x103153,a895),x103151),f252(x103153)),f317(f317(f10(f906(x103153,a895),f906(x103153,a895),x103151),f317(f20(x103153,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103153),a315),f317(f317(f9(x103153,f906(x103153,a895),a895),f319(x103153)),x103155)))),x103156)))),x103157),f317(f317(f8(x103153,x103152),f317(f317(f20(x103153,f906(x103151,a895),x103152),f317(f317(f10(f906(x103151,x103152),f906(f906(x103151,a895),x103152),x103153),f8(x103151,x103152)),f317(f9(x103151,x103153,x103152),x103154))),f317(f317(f10(f906(x103151,a895),f906(x103151,a895),x103153),f252(x103151)),f317(f317(f10(f906(x103151,a895),f906(x103151,a895),x103153),f317(f20(x103151,a895,a895),f317(f317(f10(a895,f906(a895,a895),x103151),a315),f317(f317(f9(x103151,f906(x103151,a895),a895),f319(x103151)),x103157)))),f317(f9(x103151,x103153,a895),x103156))))),x103155))
% 184.03/183.91 [10266]~P21(x102668,x102667,x102666,x102665,x102661)+~E(f317(x102662,f843(x102664,x102662,x102663,x102661,x102665,x102666,x102667)),f317(x102664,f843(x102664,x102662,x102663,x102661,x102665,x102666,x102667)))+E(f317(f317(x102661,x102662),x102663),f317(f317(x102661,x102664),x102663))+~P1(f317(f28(x102667),x102663))
% 184.03/183.91 [9798]~P22(x97987,x97986,x97981,x97988,x97982,x97984)+E(f317(f317(x97981,f317(x97982,x97983)),f317(x97984,x97985)),f317(x97984,x97985))+~P1(f317(f28(x97986),x97985))+~P1(f317(f317(f319(x97986),x97983),x97985))
% 184.03/183.91 [9802]~P12(x98026,x98021,x98022,x98028,x98023,x98024)+~P8(x98026,x98027,x98028)+P11(x98021,x98022,x98023,f317(x98024,x98025))+~P1(f317(f317(f319(x98026),x98025),x98027))
% 184.03/183.91 [10288]~P21(x102888,x102885,x102887,x102886,x102881)+E(f317(f317(x102881,x102882),x102883),f317(f317(x102881,x102884),x102883))+~P1(f317(f28(x102885),x102883))+P1(f317(f317(f319(x102885),f843(x102882,x102884,x102883,x102881,x102886,x102887,x102885)),x102883))
% 184.03/183.91 [10365]~P1(f317(f317(x103651,x103656),x103655))+P1(f317(f317(x103651,f830(x103651,x103654,x103655,x103656,x103653,x103652,x103657,x103658)),f836(x103651,x103654,x103655,x103656,x103653,x103652,x103657,x103658)))+P1(f317(f317(x103651,x103652),x103653))+~P1(f317(f317(f319(f905(f905(x103658,x103657),f905(x103658,x103657))),f317(f317(f242(f905(x103658,x103657),f905(x103658,x103657)),f317(f317(f242(x103658,x103657),x103652),x103653)),f317(f317(f242(x103658,x103657),x103656),x103655))),f297(f905(x103658,x103657),x103654)))
% 184.03/183.91 [10366]~P1(f317(f317(x103661,x103666),x103665))+P1(f317(f317(x103661,f820(x103661,x103664,x103663,x103662,x103665,x103666,x103667,x103668)),f831(x103661,x103664,x103663,x103662,x103665,x103666,x103667,x103668)))+P1(f317(f317(x103661,x103662),x103663))+~P1(f317(f317(f319(f905(f905(x103668,x103667),f905(x103668,x103667))),f317(f317(f242(f905(x103668,x103667),f905(x103668,x103667)),f317(f317(f242(x103668,x103667),x103666),x103665)),f317(f317(f242(x103668,x103667),x103662),x103663))),f297(f905(x103668,x103667),x103664)))
% 184.03/183.91 [10376]~P1(f317(f317(x103761,f832(x103761,x103766,x103765,x103764,x103763,x103762,x103767,x103768)),f835(x103761,x103766,x103765,x103764,x103763,x103762,x103767,x103768)))+P1(f317(f317(x103761,x103762),x103763))+~P1(f317(f317(x103761,x103764),x103765))+~P1(f317(f317(f319(f905(f905(x103768,x103767),f905(x103768,x103767))),f317(f317(f242(f905(x103768,x103767),f905(x103768,x103767)),f317(f317(f242(x103768,x103767),x103762),x103763)),f317(f317(f242(x103768,x103767),x103764),x103765))),f297(f905(x103768,x103767),x103766)))
% 184.03/183.91 [10377]~P1(f317(f317(x103771,f833(x103771,x103776,x103773,x103772,x103775,x103774,x103777,x103778)),f834(x103771,x103776,x103773,x103772,x103775,x103774,x103777,x103778)))+P1(f317(f317(x103771,x103772),x103773))+~P1(f317(f317(x103771,x103774),x103775))+~P1(f317(f317(f319(f905(f905(x103778,x103777),f905(x103778,x103777))),f317(f317(f242(f905(x103778,x103777),f905(x103778,x103777)),f317(f317(f242(x103778,x103777),x103774),x103775)),f317(f317(f242(x103778,x103777),x103772),x103773))),f297(f905(x103778,x103777),x103776)))
% 184.03/183.91 [10390]~P1(f317(f317(x103901,x103906),x103907))+P1(f317(f317(x103901,x103902),x103903))+P1(f317(f317(f319(f905(f905(x103904,x103905),f905(x103904,x103905))),f317(f317(f242(f905(x103904,x103905),f905(x103904,x103905)),f317(f317(f242(x103904,x103905),x103906),x103907)),f317(f317(f242(x103904,x103905),f820(x103901,x103908,x103903,x103902,x103907,x103906,x103905,x103904)),f831(x103901,x103908,x103903,x103902,x103907,x103906,x103905,x103904)))),f297(f905(x103904,x103905),x103908)))+~P1(f317(f317(f319(f905(f905(x103904,x103905),f905(x103904,x103905))),f317(f317(f242(f905(x103904,x103905),f905(x103904,x103905)),f317(f317(f242(x103904,x103905),x103906),x103907)),f317(f317(f242(x103904,x103905),x103902),x103903))),f297(f905(x103904,x103905),x103908)))
% 184.03/183.91 [10392]~P1(f317(f317(x103921,x103928),x103927))+P1(f317(f317(x103921,x103922),x103923))+P1(f317(f317(f319(f905(f905(x103924,x103925),f905(x103924,x103925))),f317(f317(f242(f905(x103924,x103925),f905(x103924,x103925)),f317(f317(f242(x103924,x103925),f830(x103921,x103926,x103927,x103928,x103923,x103922,x103925,x103924)),f836(x103921,x103926,x103927,x103928,x103923,x103922,x103925,x103924))),f317(f317(f242(x103924,x103925),x103928),x103927))),f297(f905(x103924,x103925),x103926)))+~P1(f317(f317(f319(f905(f905(x103924,x103925),f905(x103924,x103925))),f317(f317(f242(f905(x103924,x103925),f905(x103924,x103925)),f317(f317(f242(x103924,x103925),x103922),x103923)),f317(f317(f242(x103924,x103925),x103928),x103927))),f297(f905(x103924,x103925),x103926)))
% 184.03/183.91 [9407]~P19(x94077,x94071,x94078,x94073)+~P1(f317(f28(x94077),x94075))+~P1(f317(f28(x94077),x94074))+E(f317(f67(x94071,x94071,x94072,f317(x94073,x94074)),f317(f67(x94071,x94071,x94072,f317(x94073,x94075)),x94076)),f317(f67(x94071,x94071,x94072,f317(x94073,x94075)),f317(f67(x94071,x94071,x94072,f317(x94073,x94074)),x94076)))
% 184.03/183.91 [9416]~P33(x94161,x94162,x94163,x94164,x94167)+P33(x94161,x94162,x94163,f317(f317(f149(x94161,x94164),x94165),x94166),f317(f317(f149(x94162,x94167),x94165),x94168))+~P1(f317(f317(x94163,x94166),x94168))+~P1(f317(f317(f225(a899),x94165),f317(f179(f900(x94161)),x94164)))
% 184.03/183.91 [9417]~P33(x94171,x94172,x94173,x94174,x94177)+P33(x94171,x94172,x94173,f317(f317(f149(x94171,x94174),x94175),x94176),f317(f317(f149(x94172,x94177),x94175),x94178))+~P1(f317(f317(x94173,x94176),x94178))+~P1(f317(f317(f225(a899),x94175),f317(f179(f900(x94172)),x94177)))
% 184.03/183.91 [9496]~P24(x94962,x94962,x94965,x94966)+~P21(x94963,x94962,x94967,x94968,x94961)+~P1(f317(f28(x94962),x94966))+E(f317(f317(x94961,f317(f67(x94962,x94963,x94962,x94964),x94965)),x94966),f317(f317(x94961,x94964),f317(f300(x94962,x94962,x94965),x94966)))
% 184.03/183.91 [9763]P25(x97631,x97632,x97633,x97634,x97635)+~P25(x97632,x97636,x97637,x97635,x97638)+~P25(x97631,x97636,f317(f67(x97632,x97636,x97631,x97637),x97633),x97634,x97638)+~P1(f317(f317(f224(f906(x97632,a895)),f317(f300(x97631,x97632,x97633),x97634)),x97635))
% 184.03/183.91 [9800]~P23(x98007,x98002,x98005,x98008,x98006,x98001)+~P1(f317(f28(x98002),x98004))+E(f317(x98001,f317(f317(f299(x98002),x98003),x98004)),f317(f317(x98005,f317(x98006,x98003)),f317(x98001,x98004)))+P1(f317(f317(f319(x98002),x98003),x98004))
% 184.03/183.91 [9811]~P22(x98116,x98115,x98111,x98117,x98118,x98112)+E(f317(f317(x98111,f317(x98112,x98113)),f317(x98112,x98114)),f317(x98112,x98114))+~P1(f317(f28(x98115),x98114))+~P1(f317(f317(f224(f906(x98115,a895)),x98113),x98114))
% 184.03/183.91 [9394]P1(f317(f317(f319(f905(f900(x93941),f900(x93941))),f317(f317(f242(f900(x93941),f900(x93941)),x93942),x93943)),f147(x93941,x93944)))+~E(x93943,f317(f317(f124(x93941),x93945),f317(f317(f141(x93941),x93946),x93947)))+~E(x93942,f317(f317(f124(x93941),x93945),f317(f317(f141(x93941),x93948),x93947)))+~P1(f317(f317(f319(f905(x93941,x93941)),f317(f317(f242(x93941,x93941),x93948),x93946)),x93944))
% 184.03/183.91 [9805]~P22(x98056,x98052,x98055,x98057,x98058,x98051)+~P1(f317(f28(x98052),x98054))+~P1(f317(f28(x98052),x98053))+E(f317(x98051,f317(f317(f91(f906(x98052,a895)),x98053),x98054)),f317(f317(x98055,f317(x98051,x98053)),f317(x98051,x98054)))
% 184.03/183.91 [10355]~P24(x103554,x103552,x103555,x103558)+E(f317(f317(f34(x103551,f906(x103552,a895)),x103553),f317(f317(f10(f906(x103554,a895),f906(x103552,a895),x103551),f300(x103554,x103552,x103555)),x103556)),f317(f300(x103554,x103552,x103555),f317(f317(f34(x103551,f906(x103554,a895)),x103553),x103556)))+~P1(f317(f317(f319(x103551),x103557),x103553))+P1(f317(f317(f319(x103551),f518(x103557,x103556,x103553,x103551,x103558,x103555,x103552,x103554)),x103553))
% 184.03/183.91 [10381]~P24(x103814,x103812,x103815,x103817)+E(f317(f317(f34(x103811,f906(x103812,a895)),x103813),f317(f317(f10(f906(x103814,a895),f906(x103812,a895),x103811),f300(x103814,x103812,x103815)),x103816)),f317(f300(x103814,x103812,x103815),f317(f317(f34(x103811,f906(x103814,a895)),x103813),x103816)))+~P1(f317(f317(f319(x103811),x103818),x103813))+~P1(f317(f317(f224(f906(x103814,a895)),f317(x103816,f518(x103818,x103816,x103813,x103811,x103817,x103815,x103812,x103814))),x103817))
% 184.03/183.91 [10393]~P1(f317(f317(x103931,x103938),x103937))+P1(f317(f317(x103931,x103932),x103933))+~P1(f317(f317(f319(f905(f905(x103934,x103935),f905(x103934,x103935))),f317(f317(f242(f905(x103934,x103935),f905(x103934,x103935)),f317(f317(f242(x103934,x103935),x103932),x103933)),f317(f317(f242(x103934,x103935),x103938),x103937))),f297(f905(x103934,x103935),x103936)))+P1(f317(f317(f319(f905(f905(x103934,x103935),f905(x103934,x103935))),f317(f317(f242(f905(x103934,x103935),f905(x103934,x103935)),f317(f317(f242(x103934,x103935),f832(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)),f835(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934))),f317(f317(f242(x103934,x103935),f830(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)),f836(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)))),x103936))
% 184.03/183.91 [10394]~P1(f317(f317(x103941,x103948),x103947))+P1(f317(f317(x103941,x103942),x103943))+~P1(f317(f317(f319(f905(f905(x103944,x103945),f905(x103944,x103945))),f317(f317(f242(f905(x103944,x103945),f905(x103944,x103945)),f317(f317(f242(x103944,x103945),x103948),x103947)),f317(f317(f242(x103944,x103945),x103942),x103943))),f297(f905(x103944,x103945),x103946)))+P1(f317(f317(f319(f905(f905(x103944,x103945),f905(x103944,x103945))),f317(f317(f242(f905(x103944,x103945),f905(x103944,x103945)),f317(f317(f242(x103944,x103945),f820(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)),f831(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944))),f317(f317(f242(x103944,x103945),f833(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)),f834(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)))),x103946))
% 184.03/183.91 [9873]~P23(x98737,x98735,x98731,x98738,x98732,x98734)+~P1(f317(f28(x98735),x98736))+~P1(f317(f317(f319(x98735),x98733),x98736))+E(f317(f317(x98731,f317(x98732,x98733)),f317(x98734,f317(f317(f3(f906(x98735,a895)),x98736),f317(f317(f299(x98735),x98733),f178(f906(x98735,a895)))))),f317(x98734,x98736))
% 184.03/183.91 [9882]~P23(x98826,x98823,x98821,x98827,x98828,x98822)+~P1(f317(f28(x98823),x98825))+~P1(f317(f28(x98823),x98824))+E(f317(f317(x98821,f317(x98822,f317(f317(f91(f906(x98823,a895)),x98824),x98825))),f317(x98822,f317(f317(f92(f906(x98823,a895)),x98824),x98825))),f317(f317(x98821,f317(x98822,x98824)),f317(x98822,x98825)))
% 184.03/183.91 [9964]P41(x99641,x99642,x99643,x99644,x99645,f317(f317(x99643,x99646),x99647))+~P41(x99641,x99642,x99643,x99644,f317(f317(f3(f906(x99641,a895)),x99645),f317(f317(f299(x99641),x99648),f178(f906(x99641,a895)))),x99649)+~E(f317(f317(x99643,x99646),x99647),f317(f317(x99643,x99648),x99649))+~P1(f317(f317(f319(x99641),x99648),x99645))
% 184.03/183.91 [9906]~P12(x99066,x99067,x99068,x99069,x990610,x99061)+E(f317(f317(x99061,x99062),x99063),f317(f317(x99061,x99064),x99065))+~P1(f317(f317(f319(f905(x99067,x99067)),f317(f317(f242(x99067,x99067),x99063),x99065)),x990610))+~P1(f317(f317(f319(f905(x99066,x99066)),f317(f317(f242(x99066,x99066),x99062),x99064)),x99069))
% 184.03/183.91 [9500]~P98(x95002)+E(x95001,f178(f906(x95002,a895)))+~P1(f317(f28(x95002),x95001))+P1(f317(f317(f319(x95002),f12(x95002,x95001)),x95001))+~P1(f317(f317(f319(x95002),f317(f317(f91(x95002),f391(x95001,x95002)),f392(x95001,x95002))),f317(f317(f299(x95002),f391(x95001,x95002)),f317(f317(f299(x95002),f392(x95001,x95002)),f178(f906(x95002,a895))))))
% 184.03/183.91 [9501]~P98(x95012)+E(x95011,f178(f906(x95012,a895)))+~P1(f317(f28(x95012),x95011))+P1(f317(f317(f319(x95012),f13(x95012,x95011)),x95011))+~P1(f317(f317(f319(x95012),f317(f317(f92(x95012),f421(x95011,x95012)),f422(x95011,x95012))),f317(f317(f299(x95012),f421(x95011,x95012)),f317(f317(f299(x95012),f422(x95011,x95012)),f178(f906(x95012,a895))))))
% 184.03/183.91 [9532]~P68(x95322)+E(x95321,f178(f906(x95322,a895)))+~P1(f317(f28(x95322),x95321))+P1(f317(f317(f319(x95322),f317(f57(x95322,f75(x95322)),x95321)),x95321))+~P1(f317(f317(f319(x95322),f317(f317(f75(x95322),f555(x95321,x95322)),f569(x95321,x95322))),f317(f317(f299(x95322),f555(x95321,x95322)),f317(f317(f299(x95322),f569(x95321,x95322)),f178(f906(x95322,a895))))))
% 184.03/183.91 [9537]~P107(x95372)+E(x95371,f178(f906(x95372,a895)))+~P1(f317(f28(x95372),x95371))+P1(f317(f317(f319(x95372),f14(x95372,f228(x95372),x95371)),x95371))+~P1(f317(f317(f319(x95372),f317(f317(f228(x95372),f864(x95371,x95372)),f865(x95371,x95372))),f317(f317(f299(x95372),f864(x95371,x95372)),f317(f317(f299(x95372),f865(x95371,x95372)),f178(f906(x95372,a895))))))
% 184.03/183.91 [9538]~P107(x95382)+E(x95381,f178(f906(x95382,a895)))+~P1(f317(f28(x95382),x95381))+P1(f317(f317(f319(x95382),f15(x95382,f223(x95382),x95381)),x95381))+~P1(f317(f317(f319(x95382),f317(f317(f223(x95382),f399(x95381,x95382)),f400(x95381,x95382))),f317(f317(f299(x95382),f399(x95381,x95382)),f317(f317(f299(x95382),f400(x95381,x95382)),f178(f906(x95382,a895))))))
% 184.03/183.91 [6634]~P87(x66342)+E(x66341,f2(x66342))+~E(f317(f317(f74(x66342),x66343),x66341),f2(x66342))+~P1(f317(f317(f224(x66342),f2(x66342)),x66343))+~P1(f317(f317(f224(x66342),f2(x66342)),x66341))
% 184.03/183.91 [6635]~P87(x66352)+E(x66351,f2(x66352))+~E(f317(f317(f74(x66352),x66351),x66353),f2(x66352))+~P1(f317(f317(f224(x66352),f2(x66352)),x66353))+~P1(f317(f317(f224(x66352),f2(x66352)),x66351))
% 184.03/183.91 [7181]~P107(x71812)+~P13(x71812,x71811)+E(x71811,f103(x71812))+~P1(f317(f317(f319(x71812),x71813),f317(f162(x71812),f690(x71811,x71812))))+P1(f317(f317(f224(x71812),f709(x71811,x71812)),x71813))
% 184.03/183.91 [7350]~P107(x73501)+E(f16(x73501,x73502),x73503)+~P1(f317(f28(x73501),x73502))+~P1(f317(f317(f224(x73501),x73503),f858(x73503,x73502,x73501)))+~P1(f317(f317(f319(x73501),x73503),x73502))
% 184.03/183.91 [7383]~P107(x73831)+~P13(x73831,x73832)+~P13(x73831,x73833)+P13(x73831,f317(f317(f124(x73831),x73832),x73833))+P1(f317(f317(f319(x73831),f696(x73833,x73832,x73831)),f317(f162(x73831),x73832)))
% 184.03/183.91 [7384]~P107(x73841)+~P13(x73841,x73842)+~P13(x73841,x73843)+P13(x73841,f317(f317(f124(x73841),x73842),x73843))+P1(f317(f317(f319(x73841),f697(x73843,x73842,x73841)),f317(f162(x73841),x73843)))
% 184.03/183.91 [7447]~P107(x74471)+E(f16(x74471,x74472),x74473)+~P1(f317(f28(x74471),x74472))+P1(f317(f317(f319(x74471),f858(x74473,x74472,x74471)),x74472))+~P1(f317(f317(f319(x74471),x74473),x74472))
% 184.03/183.91 [7448]~P107(x74481)+E(f17(x74481,x74482),x74483)+~P1(f317(f28(x74481),x74482))+P1(f317(f317(f319(x74481),f431(x74483,x74482,x74481)),x74482))+~P1(f317(f317(f319(x74481),x74483),x74482))
% 184.03/183.91 [8021]~P107(x80211)+E(f17(x80211,x80212),x80213)+~P1(f317(f28(x80211),x80212))+~P1(f317(f317(f319(x80211),x80213),x80212))+~P1(f317(f317(f224(x80211),f431(x80213,x80212,x80211)),x80213))
% 184.03/183.91 [8339]~P107(x83391)+~P13(x83391,x83392)+~P13(x83391,x83393)+P13(x83391,f317(f317(f124(x83391),x83392),x83393))+~P1(f317(f317(f224(x83391),f696(x83393,x83392,x83391)),f697(x83393,x83392,x83391)))
% 184.03/183.91 [9132]~P107(x91322)+E(x91321,f178(f906(x91322,a895)))+~E(f317(f317(f228(x91322),f317(x91323,f866(x91321,x91323,x91322))),f317(x91323,f871(x91321,x91323,x91322))),f317(x91323,f317(f317(f228(x91322),f866(x91321,x91323,x91322)),f871(x91321,x91323,x91322))))+E(f16(x91322,f317(f300(x91322,x91322,x91323),x91321)),f317(x91323,f16(x91322,x91321)))+~P1(f317(f28(x91322),x91321))
% 184.03/183.91 [9133]~P107(x91332)+E(x91331,f178(f906(x91332,a895)))+~E(f317(f317(f223(x91332),f317(x91333,f397(x91331,x91333,x91332))),f317(x91333,f403(x91331,x91333,x91332))),f317(x91333,f317(f317(f223(x91332),f397(x91331,x91333,x91332)),f403(x91331,x91333,x91332))))+E(f17(x91332,f317(f300(x91332,x91332,x91333),x91331)),f317(x91333,f17(x91332,x91331)))+~P1(f317(f28(x91332),x91331))
% 184.03/183.91 [9134]~P98(x91342)+E(x91341,f178(f906(x91342,a895)))+~E(f317(f317(f91(x91342),f317(x91343,f390(x91341,x91343,x91342))),f317(x91343,f393(x91341,x91343,x91342))),f317(x91343,f317(f317(f91(x91342),f390(x91341,x91343,x91342)),f393(x91341,x91343,x91342))))+E(f12(x91342,f317(f300(x91342,x91342,x91343),x91341)),f317(x91343,f12(x91342,x91341)))+~P1(f317(f28(x91342),x91341))
% 184.03/183.91 [9135]~P98(x91352)+E(x91351,f178(f906(x91352,a895)))+~E(f317(f317(f92(x91352),f317(x91353,f420(x91351,x91353,x91352))),f317(x91353,f423(x91351,x91353,x91352))),f317(x91353,f317(f317(f92(x91352),f420(x91351,x91353,x91352)),f423(x91351,x91353,x91352))))+E(f13(x91352,f317(f300(x91352,x91352,x91353),x91351)),f317(x91353,f13(x91352,x91351)))+~P1(f317(f28(x91352),x91351))
% 184.03/183.91 [9203]~P107(x92032)+E(x92031,f178(f906(x92032,a895)))+~E(f317(f317(f228(x92032),f317(x92033,f867(x92031,x92033,x92032))),f317(x92033,f870(x92031,x92033,x92032))),f317(x92033,f317(f317(f228(x92032),f867(x92031,x92033,x92032)),f870(x92031,x92033,x92032))))+E(f14(x92032,f228(x92032),f317(f300(x92032,x92032,x92033),x92031)),f317(x92033,f14(x92032,f228(x92032),x92031)))+~P1(f317(f28(x92032),x92031))
% 184.03/183.91 [9204]~P107(x92042)+E(x92041,f178(f906(x92042,a895)))+~E(f317(f317(f223(x92042),f317(x92043,f398(x92041,x92043,x92042))),f317(x92043,f401(x92041,x92043,x92042))),f317(x92043,f317(f317(f223(x92042),f398(x92041,x92043,x92042)),f401(x92041,x92043,x92042))))+E(f15(x92042,f223(x92042),f317(f300(x92042,x92042,x92043),x92041)),f317(x92043,f15(x92042,f223(x92042),x92041)))+~P1(f317(f28(x92042),x92041))
% 184.03/183.91 [6651]~P68(x66512)+E(x66511,f178(f906(x66512,a895)))+~P1(f317(f28(x66512),x66511))+E(f317(f57(x66512,f75(x66512)),f317(f317(f299(x66512),x66513),x66511)),f317(f317(f75(x66512),x66513),f317(f57(x66512,f75(x66512)),x66511)))+P1(f317(f317(f319(x66512),x66513),x66511))
% 184.03/183.91 [7187]~P107(x71872)+E(f317(f317(f228(x71872),f16(x71872,x71871)),f16(x71872,x71873)),f16(x71872,x71873))+E(x71871,f178(f906(x71872,a895)))+~P1(f317(f28(x71872),x71873))+~P1(f317(f317(f224(f906(x71872,a895)),x71871),x71873))
% 184.03/183.91 [7188]~P98(x71882)+E(f317(f317(f91(x71882),f12(x71882,x71881)),f12(x71882,x71883)),f12(x71882,x71883))+E(x71881,f178(f906(x71882,a895)))+~P1(f317(f28(x71882),x71883))+~P1(f317(f317(f224(f906(x71882,a895)),x71881),x71883))
% 184.03/183.91 [7189]~P107(x71892)+E(f317(f317(f223(x71892),f17(x71892,x71891)),f17(x71892,x71893)),f17(x71892,x71893))+E(x71891,f178(f906(x71892,a895)))+~P1(f317(f28(x71892),x71893))+~P1(f317(f317(f224(f906(x71892,a895)),x71891),x71893))
% 184.03/183.91 [7190]~P98(x71902)+E(f317(f317(f92(x71902),f13(x71902,x71901)),f13(x71902,x71903)),f13(x71902,x71903))+E(x71901,f178(f906(x71902,a895)))+~P1(f317(f28(x71902),x71903))+~P1(f317(f317(f224(f906(x71902,a895)),x71901),x71903))
% 184.03/183.91 [7495]~P107(x74952)+E(x74951,f178(f906(x74952,a895)))+~P1(f317(f28(x74952),x74953))+P1(f317(f317(f224(x74952),f16(x74952,x74953)),f16(x74952,x74951)))+~P1(f317(f317(f224(f906(x74952,a895)),x74951),x74953))
% 184.03/183.91 [7496]~P107(x74962)+E(x74961,f178(f906(x74962,a895)))+~P1(f317(f28(x74962),x74963))+P1(f317(f317(f224(x74962),f17(x74962,x74961)),f17(x74962,x74963)))+~P1(f317(f317(f224(f906(x74962,a895)),x74961),x74963))
% 184.03/183.91 [7550]~P107(x75501)+E(f16(x75501,x75502),x75503)+~P1(f317(f28(x75501),x75502))+~E(f317(f317(f3(f906(x75501,a895)),x75502),f317(f317(f299(x75501),x75503),f178(f906(x75501,a895)))),f178(f906(x75501,a895)))+~P1(f317(f317(f319(x75501),x75503),x75502))
% 184.03/183.91 [7551]~P107(x75511)+E(f17(x75511,x75512),x75513)+~P1(f317(f28(x75511),x75512))+~E(f317(f317(f3(f906(x75511,a895)),x75512),f317(f317(f299(x75511),x75513),f178(f906(x75511,a895)))),f178(f906(x75511,a895)))+~P1(f317(f317(f319(x75511),x75513),x75512))
% 184.03/183.91 [7552]~P98(x75521)+E(f12(x75521,x75522),x75523)+~P1(f317(f28(x75521),x75522))+~E(f317(f317(f3(f906(x75521,a895)),x75522),f317(f317(f299(x75521),x75523),f178(f906(x75521,a895)))),f178(f906(x75521,a895)))+~P1(f317(f317(f319(x75521),x75523),x75522))
% 184.03/183.91 [7553]~P98(x75531)+E(f13(x75531,x75532),x75533)+~P1(f317(f28(x75531),x75532))+~E(f317(f317(f3(f906(x75531,a895)),x75532),f317(f317(f299(x75531),x75533),f178(f906(x75531,a895)))),f178(f906(x75531,a895)))+~P1(f317(f317(f319(x75531),x75533),x75532))
% 184.03/183.91 [7649]~P107(x76491)+E(f14(x76491,f228(x76491),x76492),x76493)+~P1(f317(f28(x76491),x76492))+~E(f317(f317(f3(f906(x76491,a895)),x76492),f317(f317(f299(x76491),x76493),f178(f906(x76491,a895)))),f178(f906(x76491,a895)))+~P1(f317(f317(f319(x76491),x76493),x76492))
% 184.03/183.91 [7650]~P107(x76501)+E(f15(x76501,f223(x76501),x76502),x76503)+~P1(f317(f28(x76501),x76502))+~E(f317(f317(f3(f906(x76501,a895)),x76502),f317(f317(f299(x76501),x76503),f178(f906(x76501,a895)))),f178(f906(x76501,a895)))+~P1(f317(f317(f319(x76501),x76503),x76502))
% 184.03/183.91 [7685]~P107(x76852)+E(x76851,f178(f906(x76852,a895)))+~P1(f317(f28(x76852),x76851))+~P1(f317(f317(f224(x76852),x76853),f859(x76853,x76851,x76852)))+P1(f317(f317(f224(x76852),x76853),f317(f57(x76852,f228(x76852)),x76851)))
% 184.03/183.91 [7686]~P103(x76862)+E(x76861,f178(f906(x76862,a895)))+~P1(f317(f28(x76862),x76861))+~P1(f317(f317(f224(x76862),x76863),f409(x76863,x76861,x76862)))+P1(f317(f317(f224(x76862),x76863),f317(f57(x76862,f92(x76862)),x76861)))
% 184.03/183.91 [7687]~P107(x76872)+E(x76871,f178(f906(x76872,a895)))+~P1(f317(f28(x76872),x76871))+~P1(f317(f317(f225(x76872),x76873),f860(x76873,x76871,x76872)))+P1(f317(f317(f225(x76872),x76873),f317(f57(x76872,f228(x76872)),x76871)))
% 184.03/183.91 [7774]~P107(x77742)+E(x77741,f178(f906(x77742,a895)))+~P1(f317(f28(x77742),x77741))+P1(f317(f317(f319(x77742),f859(x77743,x77741,x77742)),x77741))+P1(f317(f317(f224(x77742),x77743),f317(f57(x77742,f228(x77742)),x77741)))
% 184.03/183.91 [7775]~P107(x77752)+E(x77751,f178(f906(x77752,a895)))+~P1(f317(f28(x77752),x77751))+P1(f317(f317(f319(x77752),f860(x77753,x77751,x77752)),x77751))+P1(f317(f317(f225(x77752),x77753),f317(f57(x77752,f228(x77752)),x77751)))
% 184.03/183.91 [7776]~P103(x77762)+E(x77761,f178(f906(x77762,a895)))+~P1(f317(f28(x77762),x77761))+P1(f317(f317(f319(x77762),f409(x77763,x77761,x77762)),x77761))+P1(f317(f317(f224(x77762),x77763),f317(f57(x77762,f92(x77762)),x77761)))
% 184.03/183.91 [7898]~P107(x78982)+E(x78981,f178(f906(x78982,a895)))+E(f317(f317(f228(x78982),f14(x78982,f228(x78982),x78981)),f14(x78982,f228(x78982),x78983)),f14(x78982,f228(x78982),x78983))+~P1(f317(f28(x78982),x78983))+~P1(f317(f317(f224(f906(x78982,a895)),x78981),x78983))
% 184.03/183.91 [7899]~P107(x78992)+E(x78991,f178(f906(x78992,a895)))+E(f317(f317(f223(x78992),f15(x78992,f223(x78992),x78991)),f15(x78992,f223(x78992),x78993)),f15(x78992,f223(x78992),x78993))+~P1(f317(f28(x78992),x78993))+~P1(f317(f317(f224(f906(x78992,a895)),x78991),x78993))
% 184.03/183.91 [8098]~E(f425(x80981,x80983,x80982),f418(x80981,x80983,x80982))+~E(f317(f29(x80982),f419(x80981,x80983,x80982)),x80981)+E(f317(f317(f75(a899),x80981),f317(f29(f906(x80982,a895)),x80983)),f317(f29(x80982),f31(f906(x80982,a895),x80983)))+~P1(f317(f28(x80982),f31(f906(x80982,a895),x80983)))+~P1(f317(f28(f906(x80982,a895)),x80983))
% 184.03/183.91 [8279]~P107(x82792)+E(x82791,f178(f906(x82792,a895)))+~P1(f317(f28(x82792),x82793))+P1(f317(f317(f224(x82792),f317(f57(x82792,f228(x82792)),x82793)),f317(f57(x82792,f228(x82792)),x82791)))+~P1(f317(f317(f224(f906(x82792,a895)),x82791),x82793))
% 184.03/183.91 [8580]~E(f425(x85801,x85803,x85802),f418(x85801,x85803,x85802))+E(f317(f317(f75(a899),x85801),f317(f29(f906(x85802,a895)),x85803)),f317(f29(x85802),f31(f906(x85802,a895),x85803)))+P1(f317(f317(f319(f906(x85802,a895)),f419(x85801,x85803,x85802)),x85803))+~P1(f317(f28(x85802),f31(f906(x85802,a895),x85803)))+~P1(f317(f28(f906(x85802,a895)),x85803))
% 184.03/183.91 [8606]~E(f317(f29(x86062),f419(x86061,x86063,x86062)),x86061)+E(f317(f317(f75(a899),x86061),f317(f29(f906(x86062,a895)),x86063)),f317(f29(x86062),f31(f906(x86062,a895),x86063)))+P1(f317(f317(f319(f906(x86062,a895)),f418(x86061,x86063,x86062)),x86063))+~P1(f317(f28(x86062),f31(f906(x86062,a895),x86063)))+~P1(f317(f28(f906(x86062,a895)),x86063))
% 184.03/183.91 [8607]~E(f317(f29(x86072),f419(x86071,x86073,x86072)),x86071)+E(f317(f317(f75(a899),x86071),f317(f29(f906(x86072,a895)),x86073)),f317(f29(x86072),f31(f906(x86072,a895),x86073)))+P1(f317(f317(f319(f906(x86072,a895)),f425(x86071,x86073,x86072)),x86073))+~P1(f317(f28(x86072),f31(f906(x86072,a895),x86073)))+~P1(f317(f28(f906(x86072,a895)),x86073))
% 184.03/183.91 [8632]~E(f317(f29(x86322),f419(x86321,x86323,x86322)),x86321)+~E(f317(f317(f92(f906(x86322,a895)),f418(x86321,x86323,x86322)),f425(x86321,x86323,x86322)),f178(f906(x86322,a895)))+E(f317(f317(f75(a899),x86321),f317(f29(f906(x86322,a895)),x86323)),f317(f29(x86322),f31(f906(x86322,a895),x86323)))+~P1(f317(f28(f906(x86322,a895)),x86323))+~P1(f317(f28(x86322),f31(f906(x86322,a895),x86323)))
% 184.03/183.91 [8896]E(f317(f317(f75(a899),x88961),f317(f29(f906(x88962,a895)),x88963)),f317(f29(x88962),f31(f906(x88962,a895),x88963)))+P1(f317(f317(f319(f906(x88962,a895)),f419(x88961,x88963,x88962)),x88963))+P1(f317(f317(f319(f906(x88962,a895)),f418(x88961,x88963,x88962)),x88963))+~P1(f317(f28(f906(x88962,a895)),x88963))+~P1(f317(f28(x88962),f31(f906(x88962,a895),x88963)))
% 184.03/183.91 [8897]E(f317(f317(f75(a899),x88971),f317(f29(f906(x88972,a895)),x88973)),f317(f29(x88972),f31(f906(x88972,a895),x88973)))+P1(f317(f317(f319(f906(x88972,a895)),f419(x88971,x88973,x88972)),x88973))+P1(f317(f317(f319(f906(x88972,a895)),f425(x88971,x88973,x88972)),x88973))+~P1(f317(f28(f906(x88972,a895)),x88973))+~P1(f317(f28(x88972),f31(f906(x88972,a895),x88973)))
% 184.03/183.91 [8923]~E(f317(f317(f92(f906(x89232,a895)),f418(x89231,x89233,x89232)),f425(x89231,x89233,x89232)),f178(f906(x89232,a895)))+E(f317(f317(f75(a899),x89231),f317(f29(f906(x89232,a895)),x89233)),f317(f29(x89232),f31(f906(x89232,a895),x89233)))+~P1(f317(f28(f906(x89232,a895)),x89233))+P1(f317(f317(f319(f906(x89232,a895)),f419(x89231,x89233,x89232)),x89233))+~P1(f317(f28(x89232),f31(f906(x89232,a895),x89233)))
% 184.03/183.91 [9178]~P96(x91782)+E(x91781,f178(f906(x91782,a895)))+~E(f317(f317(f75(x91782),f317(x91783,f600(x91781,x91783,x91782))),f317(x91783,f609(x91781,x91783,x91782))),f317(x91783,f317(f317(f75(x91782),f600(x91781,x91783,x91782)),f609(x91781,x91783,x91782))))+~P1(f317(f28(x91782),x91781))+E(f317(f57(x91782,f75(x91782)),f317(f300(x91782,x91782,x91783),x91781)),f317(x91783,f317(f57(x91782,f75(x91782)),x91781)))
% 184.03/183.91 [10122]P1(f317(f317(x101221,x101222),x101223))+P1(f317(f317(f225(a1),f453(x101221,x101223,x101222)),f455(x101221,x101223,x101222)))+P1(f317(f317(f224(a1),f455(x101221,x101223,x101222)),f2(a1)))+P1(f317(f317(x101221,f453(x101221,x101223,x101222)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f455(x101221,x101223,x101222))))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x101222),x101223)))
% 184.03/183.91 [10128]P1(f317(f317(x101281,x101282),x101283))+P1(f317(f317(f224(a1),f452(x101281,x101283,x101282)),f2(a1)))+P1(f317(f317(x101281,f451(x101281,x101283,x101282)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f452(x101281,x101283,x101282))))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f451(x101281,x101283,x101282)),f452(x101281,x101283,x101282))))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x101282),x101283)))
% 184.03/183.91 [8070]~P113(x80701)+~P1(f317(f317(f224(x80701),x80702),f72(x80701)))+~P1(f317(f317(f224(x80701),f2(x80701)),x80702))+~P1(f317(f317(f224(x80701),f2(x80701)),x80703))+P1(f317(f317(f224(x80701),f317(f317(f75(x80701),x80702),x80703)),x80703))
% 184.03/183.91 [8071]~P113(x80711)+~P1(f317(f317(f224(x80711),x80713),f72(x80711)))+~P1(f317(f317(f224(x80711),f2(x80711)),x80713))+~P1(f317(f317(f224(x80711),f2(x80711)),x80712))+P1(f317(f317(f224(x80711),f317(f317(f75(x80711),x80712),x80713)),x80712))
% 184.03/183.91 [8425]~P107(x84252)+E(x84251,f178(f906(x84252,a895)))+~P1(f317(f28(x84252),x84251))+P1(f317(f317(f319(x84252),f861(x84253,x84251,x84252)),x84251))+~P1(f317(f317(f224(x84252),f317(f57(x84252,f228(x84252)),x84251)),x84253))
% 184.03/183.91 [8426]~P107(x84262)+E(x84261,f178(f906(x84262,a895)))+~P1(f317(f28(x84262),x84261))+P1(f317(f317(f319(x84262),f862(x84263,x84261,x84262)),x84261))+~P1(f317(f317(f225(x84262),f317(f57(x84262,f228(x84262)),x84261)),x84263))
% 184.03/183.91 [8427]~P107(x84272)+E(x84271,f178(f906(x84272,a895)))+~P1(f317(f28(x84272),x84271))+P1(f317(f317(f224(x84272),f861(x84273,x84271,x84272)),x84273))+~P1(f317(f317(f224(x84272),f317(f57(x84272,f228(x84272)),x84271)),x84273))
% 184.03/183.91 [8428]~P107(x84282)+E(x84281,f178(f906(x84282,a895)))+~P1(f317(f28(x84282),x84281))+P1(f317(f317(f225(x84282),f862(x84283,x84281,x84282)),x84283))+~P1(f317(f317(f225(x84282),f317(f57(x84282,f228(x84282)),x84281)),x84283))
% 184.03/183.91 [8515]~P1(f317(x85151,x85153))+P1(f317(x85151,f367(x85151,x85152)))+P1(f317(x85151,f355(x85151,x85152)))+~P1(f317(f317(f225(a1),f2(a1)),x85152))+P1(f317(x85151,f317(f317(f3(a1),f355(x85151,x85152)),f317(f317(f75(a1),f368(x85151,x85152)),x85152))))
% 184.03/183.91 [8733]~P1(f317(x87331,x87333))+P1(f317(x87331,f355(x87331,x87332)))+~P1(f317(f317(f225(a1),f2(a1)),x87332))+P1(f317(f317(f319(a1),f367(x87331,x87332)),f293(a1,f72(a1),x87332)))+P1(f317(x87331,f317(f317(f3(a1),f355(x87331,x87332)),f317(f317(f75(a1),f368(x87331,x87332)),x87332))))
% 184.03/183.91 [8945]~P1(f317(x89451,x89453))+~P1(f317(x89451,f355(x89451,x89452)))+P1(f317(x89451,f367(x89451,x89452)))+~P1(f317(f317(f225(a1),f2(a1)),x89452))+~P1(f317(x89451,f317(f317(f3(a1),f355(x89451,x89452)),f317(f317(f75(a1),f368(x89451,x89452)),x89452))))
% 184.03/183.91 [9069]~P1(f317(x90691,x90693))+~P1(f317(x90691,f355(x90691,x90692)))+~P1(f317(f317(f225(a1),f2(a1)),x90692))+P1(f317(f317(f319(a1),f367(x90691,x90692)),f293(a1,f72(a1),x90692)))+~P1(f317(x90691,f317(f317(f3(a1),f355(x90691,x90692)),f317(f317(f75(a1),f368(x90691,x90692)),x90692))))
% 184.03/183.91 [8851]~P107(x88511)+~P1(f317(f28(x88511),x88512))+E(f317(f317(f3(f906(x88511,a895)),x88512),f317(f317(f299(x88511),x88513),f178(f906(x88511,a895)))),f178(f906(x88511,a895)))+~P1(f317(f317(f319(x88511),x88513),x88512))+E(f317(f317(f228(x88511),x88513),f16(x88511,f317(f317(f3(f906(x88511,a895)),x88512),f317(f317(f299(x88511),x88513),f178(f906(x88511,a895)))))),f16(x88511,x88512))
% 184.03/183.91 [8852]~P107(x88521)+~P1(f317(f28(x88521),x88522))+E(f317(f317(f3(f906(x88521,a895)),x88522),f317(f317(f299(x88521),x88523),f178(f906(x88521,a895)))),f178(f906(x88521,a895)))+~P1(f317(f317(f319(x88521),x88523),x88522))+E(f317(f317(f223(x88521),x88523),f17(x88521,f317(f317(f3(f906(x88521,a895)),x88522),f317(f317(f299(x88521),x88523),f178(f906(x88521,a895)))))),f17(x88521,x88522))
% 184.03/183.91 [8853]~P98(x88531)+~P1(f317(f28(x88531),x88532))+E(f317(f317(f3(f906(x88531,a895)),x88532),f317(f317(f299(x88531),x88533),f178(f906(x88531,a895)))),f178(f906(x88531,a895)))+~P1(f317(f317(f319(x88531),x88533),x88532))+E(f317(f317(f91(x88531),x88533),f12(x88531,f317(f317(f3(f906(x88531,a895)),x88532),f317(f317(f299(x88531),x88533),f178(f906(x88531,a895)))))),f12(x88531,x88532))
% 184.03/183.91 [8854]~P98(x88541)+~P1(f317(f28(x88541),x88542))+E(f317(f317(f3(f906(x88541,a895)),x88542),f317(f317(f299(x88541),x88543),f178(f906(x88541,a895)))),f178(f906(x88541,a895)))+~P1(f317(f317(f319(x88541),x88543),x88542))+E(f317(f317(f92(x88541),x88543),f13(x88541,f317(f317(f3(f906(x88541,a895)),x88542),f317(f317(f299(x88541),x88543),f178(f906(x88541,a895)))))),f13(x88541,x88542))
% 184.03/183.91 [8916]~P107(x89161)+~P1(f317(f28(x89161),x89162))+E(f317(f317(f3(f906(x89161,a895)),x89162),f317(f317(f299(x89161),x89163),f178(f906(x89161,a895)))),f178(f906(x89161,a895)))+~P1(f317(f317(f319(x89161),x89163),x89162))+E(f317(f317(f228(x89161),x89163),f14(x89161,f228(x89161),f317(f317(f3(f906(x89161,a895)),x89162),f317(f317(f299(x89161),x89163),f178(f906(x89161,a895)))))),f14(x89161,f228(x89161),x89162))
% 184.03/183.91 [8917]~P107(x89171)+~P1(f317(f28(x89171),x89172))+E(f317(f317(f3(f906(x89171,a895)),x89172),f317(f317(f299(x89171),x89173),f178(f906(x89171,a895)))),f178(f906(x89171,a895)))+~P1(f317(f317(f319(x89171),x89173),x89172))+E(f317(f317(f223(x89171),x89173),f15(x89171,f223(x89171),f317(f317(f3(f906(x89171,a895)),x89172),f317(f317(f299(x89171),x89173),f178(f906(x89171,a895)))))),f15(x89171,f223(x89171),x89172))
% 184.03/183.91 [8932]~P107(x89321)+~P1(f317(f28(x89321),x89323))+~P1(f317(f28(x89321),x89322))+E(f317(f317(f92(f906(x89321,a895)),x89322),x89323),f178(f906(x89321,a895)))+E(f317(f317(f228(x89321),f16(x89321,f317(f317(f91(f906(x89321,a895)),x89322),x89323))),f16(x89321,f317(f317(f92(f906(x89321,a895)),x89322),x89323))),f317(f317(f228(x89321),f16(x89321,x89322)),f16(x89321,x89323)))
% 184.03/183.91 [8933]~P98(x89331)+~P1(f317(f28(x89331),x89333))+~P1(f317(f28(x89331),x89332))+E(f317(f317(f92(f906(x89331,a895)),x89332),x89333),f178(f906(x89331,a895)))+E(f317(f317(f91(x89331),f12(x89331,f317(f317(f91(f906(x89331,a895)),x89332),x89333))),f12(x89331,f317(f317(f92(f906(x89331,a895)),x89332),x89333))),f317(f317(f91(x89331),f12(x89331,x89332)),f12(x89331,x89333)))
% 184.03/183.91 [8934]~P107(x89341)+~P1(f317(f28(x89341),x89343))+~P1(f317(f28(x89341),x89342))+E(f317(f317(f92(f906(x89341,a895)),x89342),x89343),f178(f906(x89341,a895)))+E(f317(f317(f223(x89341),f17(x89341,f317(f317(f91(f906(x89341,a895)),x89342),x89343))),f17(x89341,f317(f317(f92(f906(x89341,a895)),x89342),x89343))),f317(f317(f223(x89341),f17(x89341,x89342)),f17(x89341,x89343)))
% 184.03/183.91 [8935]~P98(x89351)+~P1(f317(f28(x89351),x89353))+~P1(f317(f28(x89351),x89352))+E(f317(f317(f92(f906(x89351,a895)),x89352),x89353),f178(f906(x89351,a895)))+E(f317(f317(f92(x89351),f13(x89351,f317(f317(f91(f906(x89351,a895)),x89352),x89353))),f13(x89351,f317(f317(f92(f906(x89351,a895)),x89352),x89353))),f317(f317(f92(x89351),f13(x89351,x89352)),f13(x89351,x89353)))
% 184.03/183.91 [9150]~P107(x91501)+~P1(f317(f28(x91501),x91503))+~P1(f317(f28(x91501),x91502))+E(f317(f317(f92(f906(x91501,a895)),x91502),x91503),f178(f906(x91501,a895)))+E(f317(f317(f228(x91501),f14(x91501,f228(x91501),f317(f317(f91(f906(x91501,a895)),x91502),x91503))),f14(x91501,f228(x91501),f317(f317(f92(f906(x91501,a895)),x91502),x91503))),f317(f317(f228(x91501),f14(x91501,f228(x91501),x91502)),f14(x91501,f228(x91501),x91503)))
% 184.03/183.91 [9151]~P107(x91511)+~P1(f317(f28(x91511),x91513))+~P1(f317(f28(x91511),x91512))+E(f317(f317(f92(f906(x91511,a895)),x91512),x91513),f178(f906(x91511,a895)))+E(f317(f317(f223(x91511),f15(x91511,f223(x91511),f317(f317(f91(f906(x91511,a895)),x91512),x91513))),f15(x91511,f223(x91511),f317(f317(f92(f906(x91511,a895)),x91512),x91513))),f317(f317(f223(x91511),f15(x91511,f223(x91511),x91512)),f15(x91511,f223(x91511),x91513)))
% 184.03/183.91 [9961]~P112(x99613)+E(x99611,x99612)+~P1(f317(f317(f224(x99613),f2(x99613)),x99612))+~P1(f317(f317(f224(x99613),f2(x99613)),x99611))+~E(f317(f317(f234(x99613),x99611),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x99613),x99612),f317(f94(a899),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 184.03/183.91 [5966]~P3(x59662)+E(x59661,f2(x59662))+~E(f317(f317(f30(x59662),x59663),x59661),x59664)+E(x59663,f317(f317(f75(x59662),x59664),x59661))+~P1(f317(f317(f277(x59662),x59661),x59663))
% 184.03/183.91 [5967]~P3(x59672)+E(x59671,f2(x59672))+~E(x59673,f317(f317(f75(x59672),x59674),x59671))+E(f317(f317(f30(x59672),x59673),x59671),x59674)+~P1(f317(f317(f277(x59672),x59671),x59673))
% 184.03/183.91 [6443]E(f732(x64431,x64432,x64433),x64434)+E(f317(x64431,x64434),f2(a899))+~E(f317(f317(f8(x64433,a899),x64431),x64432),f72(a899))+~P1(f317(f28(x64433),x64432))+~P1(f317(f317(f319(x64433),x64434),x64432))
% 184.03/183.91 [6508]E(f656(x65081,x65082,x65083),x65084)+E(f317(x65081,x65084),f2(a899))+~E(f317(f317(f8(x65083,a899),x65081),x65082),f317(a102,f2(a899)))+~P1(f317(f28(x65083),x65082))+~P1(f317(f317(f319(x65083),x65084),x65082))
% 184.03/183.91 [6620]~P107(x66201)+~P5(x66201)+P1(f317(f317(f225(x66201),x66202),f31(x66201,x66203)))+~P1(f317(f317(f225(x66201),x66202),x66204))+~P1(f317(f317(f319(x66201),x66204),x66203))
% 184.03/183.91 [6798]~P107(x67981)+~P5(x67981)+~P1(f317(f317(f225(x67981),x67984),x67983))+P1(f317(f317(f225(x67981),f32(x67981,x67982)),x67983))+~P1(f317(f317(f319(x67981),x67984),x67982))
% 184.03/183.91 [7066]~P112(x70663)+E(x70661,x70662)+~E(f317(f317(f234(x70663),x70661),f317(a102,x70664)),f317(f317(f234(x70663),x70662),f317(a102,x70664)))+~P1(f317(f317(f224(x70663),f2(x70663)),x70662))+~P1(f317(f317(f224(x70663),f2(x70663)),x70661))
% 184.03/183.91 [7278]~E(f757(x72782,x72783,x72781,x72784),x72784)+~E(f317(x72782,x72784),f72(a899))+E(f317(f317(f8(x72781,a899),x72782),x72783),f72(a899))+~P1(f317(f28(x72781),x72783))+~P1(f317(f317(f319(x72781),x72784),x72783))
% 184.03/183.91 [7285]~P120(x72854)+~P134(x72854)+E(f317(x72851,f700(x72851,x72852,x72853,x72854)),f2(x72854))+~E(f317(f317(f11(x72853,x72854),x72851),x72852),f2(x72854))+~P1(f317(f28(x72853),x72852))
% 184.03/183.91 [7373]~E(f679(x73732,x73733,x73731,x73734),x73734)+~E(f317(x73732,x73734),f317(a102,f2(a899)))+E(f317(f317(f8(x73731,a899),x73732),x73733),f317(a102,f2(a899)))+~P1(f317(f28(x73731),x73733))+~P1(f317(f317(f319(x73731),x73734),x73733))
% 184.03/183.91 [8110]~E(f317(x81102,x81104),f72(a899))+~E(f317(x81102,f757(x81102,x81103,x81101,x81104)),f2(a899))+E(f317(f317(f8(x81101,a899),x81102),x81103),f72(a899))+~P1(f317(f28(x81101),x81103))+~P1(f317(f317(f319(x81101),x81104),x81103))
% 184.03/183.91 [8148]~E(f317(x81482,x81484),f317(a102,f2(a899)))+~E(f317(x81482,f679(x81482,x81483,x81481,x81484)),f2(a899))+E(f317(f317(f8(x81481,a899),x81482),x81483),f317(a102,f2(a899)))+~P1(f317(f28(x81481),x81483))+~P1(f317(f317(f319(x81481),x81484),x81483))
% 184.03/183.91 [8234]~P146(x82342)+~P123(x82342)+~P1(f317(x82341,x82344))+~P1(f317(f317(f277(x82342),x82343),f317(f317(f74(x82342),x82344),f2(x82342))))+P1(f317(x82341,f317(f317(f75(x82342),x82343),f845(x82343,x82341,x82342))))
% 184.03/183.91 [8700]~P107(x87001)+~P13(x87001,x87004)+P13(x87001,x87002)+~E(x87002,f317(f317(f141(x87001),x87003),x87004))+~P1(f317(f317(f224(x87001),x87003),f711(x87002,x87001,x87004,x87003)))
% 184.03/183.91 [8737]E(x87371,x87372)+E(f317(f317(f3(a1),f356(x87373,x87372,x87374,x87371)),f357(x87373,x87372,x87374,x87371)),x87371)+~E(f317(f317(f74(a1),x87371),x87374),x87372)+~P1(f317(f317(f225(a1),f2(a1)),x87374))+~P1(f317(f317(f319(a1),x87372),x87373))
% 184.03/183.91 [8738]E(x87381,x87382)+E(f317(f317(f74(a1),f358(x87383,x87382,x87384,x87381)),f359(x87383,x87382,x87384,x87381)),x87381)+~E(f317(f317(f3(a1),x87381),x87384),x87382)+~P1(f317(f317(f225(a1),f2(a1)),x87384))+~P1(f317(f317(f319(a1),x87382),x87383))
% 184.03/183.91 [8930]E(f317(x89301,f439(x89302,x89301,x89303,x89304)),x89302)+P1(f317(f317(f224(a899),x89304),f440(x89302,x89301,x89303,x89304)))+~P1(f317(f317(f224(a1),x89302),f317(x89301,x89303)))+~P1(f317(f317(f225(a899),x89304),x89303))+~P1(f317(f317(f224(a1),f317(x89301,x89304)),x89302))
% 184.03/183.91 [8931]~P107(x89311)+~P13(x89311,x89313)+P13(x89311,x89312)+~E(x89312,f317(f317(f141(x89311),x89314),x89313))+P1(f317(f317(f319(x89311),f711(x89312,x89311,x89313,x89314)),f317(f162(x89311),x89313)))
% 184.03/183.91 [8949]~P120(x89494)+~P134(x89494)+~E(f317(f317(f11(x89491,x89494),x89492),x89493),f2(x89494))+~P1(f317(f28(x89491),x89493))+P1(f317(f317(f319(x89491),f700(x89492,x89493,x89491,x89494)),x89493))
% 184.03/183.91 [8987]~E(f317(x89872,x89874),f72(a899))+E(f317(f317(f8(x89871,a899),x89872),x89873),f72(a899))+~P1(f317(f28(x89871),x89873))+~P1(f317(f317(f319(x89871),x89874),x89873))+P1(f317(f317(f319(x89871),f757(x89872,x89873,x89871,x89874)),x89873))
% 184.03/183.91 [8999]E(x89991,x89992)+~E(f317(f317(f74(a1),x89992),x89994),x89991)+~P1(f317(f317(f225(a1),f2(a1)),x89994))+~P1(f317(f317(f319(a1),x89991),x89993))+P1(f317(f317(f319(a1),f356(x89993,x89991,x89994,x89992)),x89993))
% 184.03/183.91 [9000]E(x90001,x90002)+~E(f317(f317(f3(a1),x90002),x90004),x90001)+~P1(f317(f317(f225(a1),f2(a1)),x90004))+~P1(f317(f317(f319(a1),x90001),x90003))+P1(f317(f317(f319(a1),f358(x90003,x90001,x90004,x90002)),x90003))
% 184.03/183.91 [9002]~E(f317(x90022,x90024),f317(a102,f2(a899)))+E(f317(f317(f8(x90021,a899),x90022),x90023),f317(a102,f2(a899)))+~P1(f317(f28(x90021),x90023))+~P1(f317(f317(f319(x90021),x90024),x90023))+P1(f317(f317(f319(x90021),f679(x90022,x90023,x90021,x90024)),x90023))
% 184.03/183.91 [9007]P58(x90072,x90073,x90074,x90071)+E(x90071,f178(f906(x90072,a895)))+~P1(f317(f28(x90072),x90074))+~P1(f317(f28(x90072),x90071))+P1(f317(f317(f319(x90072),f779(x90073,x90071,x90074,x90072)),x90074))
% 184.03/183.91 [9008]P58(x90082,x90083,x90084,x90081)+E(x90081,f178(f906(x90082,a895)))+~P1(f317(f28(x90082),x90084))+~P1(f317(f28(x90082),x90081))+P1(f317(f317(f319(x90082),f516(x90081,x90084,x90083,x90082)),x90084))
% 184.03/183.91 [9009]P58(x90092,x90093,x90094,x90091)+E(x90091,f178(f906(x90092,a895)))+~P1(f317(f28(x90092),x90094))+~P1(f317(f28(x90092),x90091))+P1(f317(f317(f319(x90092),f780(x90091,x90094,x90093,x90092)),x90094))
% 184.03/183.91 [9082]E(x90821,x90822)+~E(f317(f317(f74(a1),x90822),x90824),x90821)+~P1(f317(f317(f225(a1),f2(a1)),x90824))+~P1(f317(f317(f319(a1),x90821),x90823))+P1(f317(f317(f319(a1),f357(x90823,x90821,x90824,x90822)),f293(a1,f72(a1),x90824)))
% 184.03/183.91 [9083]E(x90831,x90832)+~E(f317(f317(f3(a1),x90832),x90834),x90831)+~P1(f317(f317(f225(a1),f2(a1)),x90834))+~P1(f317(f317(f319(a1),x90831),x90833))+P1(f317(f317(f319(a1),f359(x90833,x90831,x90834,x90832)),f293(a1,f72(a1),x90834)))
% 184.03/183.91 [9156]P1(f317(f317(f224(a899),x91561),f439(x91562,x91563,x91564,x91561)))+~P1(f317(f317(f224(a1),x91562),f317(x91563,x91564)))+P1(f317(f317(f224(a899),x91561),f440(x91562,x91563,x91564,x91561)))+~P1(f317(f317(f225(a899),x91561),x91564))+~P1(f317(f317(f224(a1),f317(x91563,x91561)),x91562))
% 184.03/183.91 [9270]E(f317(x92701,f439(x92702,x92701,x92703,x92704)),x92702)+~P1(f317(f317(f224(a1),x92702),f317(x92701,x92703)))+P1(f317(f317(f225(a899),f440(x92702,x92701,x92703,x92704)),x92703))+~P1(f317(f317(f225(a899),x92704),x92703))+~P1(f317(f317(f224(a1),f317(x92701,x92704)),x92702))
% 184.03/183.91 [9385]~P1(f317(f317(f277(a899),x93854),x93851))+~P1(f317(f317(f277(a899),x93854),x93853))+~P1(f317(f317(f277(a899),x93852),x93851))+P1(f317(f317(f277(a899),x93851),x93852))+P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x93853,x93852)),f280(a899,f277(a899),x93854,x93851)))
% 184.03/183.91 [9386]~P1(f317(f317(f277(a899),x93862),x93861))+~P1(f317(f317(f277(a899),x93863),x93864))+~P1(f317(f317(f277(a899),x93862),x93864))+P1(f317(f317(f277(a899),x93861),x93862))+P1(f317(f317(f225(f906(a899,a895)),f280(a899,f277(a899),x93861,x93863)),f280(a899,f277(a899),x93862,x93864)))
% 184.03/183.91 [9404]~P1(f317(f317(f224(a1),x94042),f317(x94043,x94044)))+P1(f317(f317(f224(a899),x94041),f440(x94042,x94043,x94044,x94041)))+P1(f317(f317(f224(a899),f439(x94042,x94043,x94044,x94041)),x94044))+~P1(f317(f317(f225(a899),x94041),x94044))+~P1(f317(f317(f224(a1),f317(x94043,x94041)),x94042))
% 184.03/183.91 [9405]~P1(f317(f317(f224(a1),x94052),f317(x94053,x94054)))+P1(f317(f317(f224(a899),x94051),f439(x94052,x94053,x94054,x94051)))+P1(f317(f317(f225(a899),f440(x94052,x94053,x94054,x94051)),x94054))+~P1(f317(f317(f225(a899),x94051),x94054))+~P1(f317(f317(f224(a1),f317(x94053,x94051)),x94052))
% 184.03/183.91 [9513]~P1(f317(f317(f224(a1),x95131),f317(x95132,x95133)))+P1(f317(f317(f225(a899),f440(x95131,x95132,x95133,x95134)),x95133))+~P1(f317(f317(f225(a899),x95134),x95133))+~P1(f317(f317(f224(a1),f317(x95132,x95134)),x95131))+P1(f317(f317(f224(a899),f439(x95131,x95132,x95133,x95134)),x95133))
% 184.03/183.91 [9607]E(x96071,f178(f906(x96072,a895)))+~P1(f317(f28(x96072),x96074))+~P1(f317(f28(x96072),x96071))+P1(f317(f317(f319(f905(f906(x96072,a895),f906(x96072,a895))),f317(f317(f242(f906(x96072,a895),f906(x96072,a895)),x96074),x96071)),f308(x96072,x96073)))+P1(f317(f317(f319(x96072),f522(x96073,x96071,x96074,x96072)),x96074))
% 184.03/183.91 [9608]E(x96081,f178(f906(x96082,a895)))+~P1(f317(f28(x96082),x96084))+~P1(f317(f28(x96082),x96081))+P1(f317(f317(f319(f905(f906(x96082,a895),f906(x96082,a895))),f317(f317(f242(f906(x96082,a895),f906(x96082,a895)),x96084),x96081)),f308(x96082,x96083)))+P1(f317(f317(f319(x96082),f591(x96083,x96081,x96084,x96082)),x96084))
% 184.03/183.91 [10283]E(f317(x102831,f439(x102832,x102831,x102833,x102834)),x102832)+~P1(f317(f317(f224(a1),x102832),f317(x102831,x102833)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102831,f317(f317(f74(a899),f440(x102832,x102831,x102833,x102834)),f72(a899)))),f317(x102831,f440(x102832,x102831,x102833,x102834))))),f72(a1)))+~P1(f317(f317(f225(a899),x102834),x102833))+~P1(f317(f317(f224(a1),f317(x102831,x102834)),x102832))
% 184.03/183.91 [10284]~P1(f317(f317(f224(a1),x102842),f317(x102843,x102844)))+P1(f317(f317(f224(a899),x102841),f439(x102842,x102843,x102844,x102841)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102843,f317(f317(f74(a899),f440(x102842,x102843,x102844,x102841)),f72(a899)))),f317(x102843,f440(x102842,x102843,x102844,x102841))))),f72(a1)))+~P1(f317(f317(f225(a899),x102841),x102844))+~P1(f317(f317(f224(a1),f317(x102843,x102841)),x102842))
% 184.03/183.91 [10285]~P1(f317(f317(f224(a1),x102851),f317(x102852,x102853)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102852,f317(f317(f74(a899),f440(x102851,x102852,x102853,x102854)),f72(a899)))),f317(x102852,f440(x102851,x102852,x102853,x102854))))),f72(a1)))+~P1(f317(f317(f225(a899),x102854),x102853))+~P1(f317(f317(f224(a1),f317(x102852,x102854)),x102851))+P1(f317(f317(f224(a899),f439(x102851,x102852,x102853,x102854)),x102853))
% 184.03/183.91 [7336]~P63(x73361)+P1(f317(f317(f225(x73361),x73362),f2(x73361)))+~P1(f317(f317(f224(x73361),x73363),f2(x73361)))+P1(f317(f317(f225(x73361),f2(x73361)),x73362))+P1(f317(f317(f224(x73361),x73363),f317(f317(f281(x73361),x73364),x73362)))
% 184.03/183.91 [7337]~P63(x73371)+P1(f317(f317(f225(x73371),x73372),f2(x73371)))+~P1(f317(f317(f225(x73371),x73373),f2(x73371)))+P1(f317(f317(f225(x73371),f2(x73371)),x73372))+P1(f317(f317(f225(x73371),x73373),f317(f317(f281(x73371),x73374),x73372)))
% 184.03/183.91 [7586]~P63(x75861)+P1(f317(f317(f224(x75861),x75862),f2(x75861)))+P1(f317(f317(f225(x75861),x75863),f2(x75861)))+P1(f317(f317(f225(x75861),f2(x75861)),x75863))+~P1(f317(f317(f224(x75861),x75862),f317(f317(f281(x75861),x75864),x75863)))
% 184.03/183.91 [7587]~P63(x75871)+P1(f317(f317(f225(x75871),x75872),f2(x75871)))+P1(f317(f317(f225(x75871),x75873),f2(x75871)))+P1(f317(f317(f225(x75871),f2(x75871)),x75873))+~P1(f317(f317(f225(x75871),x75872),f317(f317(f281(x75871),x75874),x75873)))
% 184.03/183.91 [7706]E(x77061,x77062)+~E(f317(f317(f154(x77063),x77064),x77061),f317(f317(f154(x77063),x77064),x77062))+~P1(f317(f127(x77063),x77064))+~P1(f317(f317(f225(a899),x77062),f317(f179(f900(x77063)),x77064)))+~P1(f317(f317(f225(a899),x77061),f317(f179(f900(x77063)),x77064)))
% 184.03/183.91 [8072]~P63(x80721)+~P1(f317(f317(f224(x80721),x80723),f2(x80721)))+P1(f317(f317(f225(x80721),f2(x80721)),x80722))+~P1(f317(f317(f224(x80721),x80724),f317(f317(f75(x80721),x80723),x80722)))+P1(f317(f317(f224(x80721),x80723),f317(f317(f281(x80721),x80724),x80722)))
% 184.03/183.91 [8073]~P63(x80731)+~P1(f317(f317(f225(x80731),x80733),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)))
% 184.03/183.91 [8074]~P63(x80741)+~P1(f317(f317(f225(x80741),x80742),f2(x80741)))+P1(f317(f317(f225(x80741),f2(x80741)),x80742))+~P1(f317(f317(f224(x80741),x80744),f317(f317(f75(x80741),x80743),x80742)))+P1(f317(f317(f224(x80741),x80743),f317(f317(f281(x80741),x80744),x80742)))
% 184.03/183.91 [8075]~P63(x80751)+~P1(f317(f317(f225(x80751),x80752),f2(x80751)))+P1(f317(f317(f225(x80751),f2(x80751)),x80752))+~P1(f317(f317(f224(x80751),x80754),f317(f317(f281(x80751),x80753),x80752)))+P1(f317(f317(f224(x80751),x80753),f317(f317(f75(x80751),x80754),x80752)))
% 184.03/183.91 [8076]~P63(x80761)+~P1(f317(f317(f225(x80761),x80762),f2(x80761)))+P1(f317(f317(f225(x80761),f2(x80761)),x80762))+~P1(f317(f317(f225(x80761),x80764),f317(f317(f75(x80761),x80763),x80762)))+P1(f317(f317(f225(x80761),x80763),f317(f317(f281(x80761),x80764),x80762)))
% 184.03/183.91 [8077]~P63(x80771)+~P1(f317(f317(f225(x80771),x80772),f2(x80771)))+P1(f317(f317(f225(x80771),f2(x80771)),x80772))+~P1(f317(f317(f225(x80771),x80774),f317(f317(f281(x80771),x80773),x80772)))+P1(f317(f317(f225(x80771),x80773),f317(f317(f75(x80771),x80774),x80772)))
% 184.03/183.91 [8202]~P3(x82021)+~P1(f317(f317(f277(x82021),x82023),x82024))+~P1(f317(f317(f277(x82021),x82023),x82022))+~P1(f317(f317(f277(x82021),x82022),x82024))+P1(f317(f317(f277(x82021),f317(f317(f30(x82021),x82022),x82023)),f317(f317(f30(x82021),x82024),x82023)))
% 184.03/183.91 [8217]~P107(x82171)+~P13(x82171,x82172)+~P1(f317(f317(f224(a899),x82173),x82174))+P1(f317(f317(f224(x82171),f317(f317(f154(x82171),x82172),x82173)),f317(f317(f154(x82171),x82172),x82174)))+~P1(f317(f317(f225(a899),x82174),f317(f179(f900(x82171)),x82172)))
% 184.03/183.91 [8270]~P112(x82701)+~P1(f317(f317(f224(x82701),x82702),f72(x82701)))+~P1(f317(f317(f224(x82701),f2(x82701)),x82702))+~P1(f317(f317(f224(a899),x82704),x82703))+P1(f317(f317(f224(x82701),f317(f317(f234(x82701),x82702),x82703)),f317(f317(f234(x82701),x82702),x82704)))
% 184.03/183.91 [8271]~P112(x82711)+~P1(f317(f317(f225(x82711),x82712),f72(x82711)))+~P1(f317(f317(f225(x82711),f2(x82711)),x82712))+~P1(f317(f317(f225(a899),x82714),x82713))+P1(f317(f317(f225(x82711),f317(f317(f234(x82711),x82712),x82713)),f317(f317(f234(x82711),x82712),x82714)))
% 184.03/183.91 [8272]~P112(x82721)+~P1(f317(f317(f224(x82721),f2(x82721)),x82722))+~P1(f317(f317(f225(a899),f2(a899)),x82723))+~P1(f317(f317(f225(x82721),x82722),x82724))+P1(f317(f317(f225(x82721),f317(f317(f234(x82721),x82722),x82723)),f317(f317(f234(x82721),x82724),x82723)))
% 184.03/183.91 [8290]~P107(x82901)+~P13(x82901,f317(f158(x82901),x82902))+~P1(f317(f317(f224(a899),x82904),x82903))+P1(f317(f317(f224(x82901),f317(f317(f154(x82901),x82902),x82903)),f317(f317(f154(x82901),x82902),x82904)))+~P1(f317(f317(f225(a899),x82903),f317(f179(f900(x82901)),x82902)))
% 184.03/183.91 [8522]~P3(x85221)+P1(f317(f317(f277(x85221),x85222),x85223))+~P1(f317(f317(f277(x85221),x85224),x85223))+~P1(f317(f317(f277(x85221),x85224),x85222))+~P1(f317(f317(f277(x85221),f317(f317(f30(x85221),x85222),x85224)),f317(f317(f30(x85221),x85223),x85224)))
% 184.03/183.91 [8537]~P63(x85371)+~P1(f317(f317(f224(x85371),x85372),f2(x85371)))+~P1(f317(f317(f224(x85371),x85373),x85374))+~P1(f317(f317(f225(x85371),f2(x85371)),f317(f317(f75(x85371),x85373),x85374)))+P1(f317(f317(f224(x85371),f317(f317(f281(x85371),x85372),x85373)),f317(f317(f281(x85371),x85372),x85374)))
% 184.03/183.91 [8538]~P64(x85381)+~P1(f317(f317(f225(x85381),x85382),f2(x85381)))+~P1(f317(f317(f225(x85381),x85383),x85384))+~P1(f317(f317(f225(x85381),f2(x85381)),f317(f317(f75(x85381),x85383),x85384)))+P1(f317(f317(f225(x85381),f317(f317(f281(x85381),x85382),x85383)),f317(f317(f281(x85381),x85382),x85384)))
% 184.03/183.91 [8547]~P64(x85471)+~P1(f317(f317(f224(x85471),x85474),x85473))+~P1(f317(f317(f224(x85471),f2(x85471)),x85472))+~P1(f317(f317(f225(x85471),f2(x85471)),f317(f317(f75(x85471),x85473),x85474)))+P1(f317(f317(f224(x85471),f317(f317(f281(x85471),x85472),x85473)),f317(f317(f281(x85471),x85472),x85474)))
% 184.03/183.91 [8548]~P64(x85481)+~P1(f317(f317(f225(x85481),x85484),x85483))+~P1(f317(f317(f225(x85481),f2(x85481)),x85482))+~P1(f317(f317(f225(x85481),f2(x85481)),f317(f317(f75(x85481),x85483),x85484)))+P1(f317(f317(f225(x85481),f317(f317(f281(x85481),x85482),x85483)),f317(f317(f281(x85481),x85482),x85484)))
% 184.03/183.91 [8648]P1(f317(x86481,x86482))+~P1(f317(f28(x86484),x86482))+P1(f317(x86481,f369(x86481,x86483,x86482,x86484)))+~P1(f317(x86481,f178(f906(x86484,a895))))+~P1(f317(f317(f224(f906(x86484,a895)),x86482),x86483))
% 184.03/183.91 [8657]P1(f317(x86571,x86572))+P1(f317(f28(x86573),f369(x86571,x86574,x86572,x86573)))+~P1(f317(f28(x86573),x86572))+~P1(f317(x86571,f178(f906(x86573,a895))))+~P1(f317(f317(f224(f906(x86573,a895)),x86572),x86574))
% 184.03/183.91 [8925]E(f317(f317(f74(a1),f363(x89251,x89252,x89253,x89254)),f364(x89251,x89252,x89253,x89254)),x89254)+~P1(f317(f317(f225(a1),f2(a1)),x89253))+~P1(f317(f317(f225(a1),x89252),x89254))+~P1(f317(f317(f319(a1),x89252),x89251))+P1(f317(f317(f225(a1),x89252),f317(f317(f3(a1),x89254),x89253)))
% 184.03/183.91 [9138]~P1(f317(f317(f225(a1),f2(a1)),x91383))+~P1(f317(f317(f225(a1),x91382),x91384))+~P1(f317(f317(f319(a1),x91382),x91381))+P1(f317(f317(f319(a1),f363(x91381,x91382,x91383,x91384)),x91381))+P1(f317(f317(f225(a1),x91382),f317(f317(f3(a1),x91384),x91383)))
% 184.03/183.91 [9149]P1(f317(x91491,x91492))+~P1(f317(f28(x91493),x91492))+P1(f317(f317(f319(x91493),f360(x91491,x91494,x91492,x91493)),x91494))+~P1(f317(x91491,f178(f906(x91493,a895))))+~P1(f317(f317(f224(f906(x91493,a895)),x91492),x91494))
% 184.03/183.91 [9166]E(f317(f317(f74(a1),f342(x91661,x91662,x91663,x91664)),f343(x91661,x91662,x91663,x91664)),x91664)+~P1(f317(f317(f225(a1),f2(a1)),x91663))+~P1(f317(f317(f224(a1),x91662),x91664))+P1(f317(f317(f224(a1),x91662),f317(f317(f3(a1),x91664),x91663)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x91662),f72(a1))),x91661))
% 184.03/183.91 [9220]~P1(f317(f317(f225(a1),f2(a1)),x92203))+~P1(f317(f317(f225(a1),x92201),x92202))+~P1(f317(f317(f319(a1),x92201),x92204))+P1(f317(f317(f319(a1),f364(x92204,x92201,x92203,x92202)),f293(a1,f72(a1),x92203)))+P1(f317(f317(f225(a1),x92201),f317(f317(f3(a1),x92202),x92203)))
% 184.03/183.91 [9246]~P70(x92462)+~E(f759(x92463,x92464,x92461,x92462),f760(x92463,x92464,x92461,x92462))+~P1(f317(f28(x92461),f761(x92463,x92464,x92461,x92462)))+E(f317(f317(f8(f906(x92461,a895),x92462),f317(f8(x92461,x92462),x92463)),x92464),f317(f317(f8(x92461,x92462),x92463),f31(f906(x92461,a895),x92464)))+~P1(f317(f28(f906(x92461,a895)),x92464))
% 184.03/183.91 [9250]~P70(x92502)+~E(f317(x92503,f762(x92503,x92504,x92501,x92502)),f2(x92502))+~P1(f317(f28(x92501),f761(x92503,x92504,x92501,x92502)))+E(f317(f317(f8(f906(x92501,a895),x92502),f317(f8(x92501,x92502),x92503)),x92504),f317(f317(f8(x92501,x92502),x92503),f31(f906(x92501,a895),x92504)))+~P1(f317(f28(f906(x92501,a895)),x92504))
% 184.03/183.91 [9314]~P1(f317(f317(f225(a1),f2(a1)),x93143))+~P1(f317(f317(f224(a1),x93142),x93144))+P1(f317(f317(f319(a1),f342(x93141,x93142,x93143,x93144)),x93141))+P1(f317(f317(f224(a1),x93142),f317(f317(f3(a1),x93144),x93143)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x93142),f72(a1))),x93141))
% 184.03/183.91 [9360]~P1(f317(f317(f225(a1),f2(a1)),x93603))+~P1(f317(f317(f224(a1),x93601),x93602))+P1(f317(f317(f319(a1),f343(x93604,x93601,x93603,x93602)),f293(a1,f72(a1),x93603)))+P1(f317(f317(f224(a1),x93601),f317(f317(f3(a1),x93602),x93603)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x93601),f72(a1))),x93604))
% 184.03/183.91 [9381]~P70(x93812)+~E(f759(x93813,x93814,x93811,x93812),f760(x93813,x93814,x93811,x93812))+E(f317(f317(f8(f906(x93811,a895),x93812),f317(f8(x93811,x93812),x93813)),x93814),f317(f317(f8(x93811,x93812),x93813),f31(f906(x93811,a895),x93814)))+P1(f317(f317(f319(f906(x93811,a895)),f761(x93813,x93814,x93811,x93812)),x93814))+~P1(f317(f28(f906(x93811,a895)),x93814))
% 184.03/183.91 [9388]~P70(x93882)+~E(f317(x93883,f762(x93883,x93884,x93881,x93882)),f2(x93882))+E(f317(f317(f8(f906(x93881,a895),x93882),f317(f8(x93881,x93882),x93883)),x93884),f317(f317(f8(x93881,x93882),x93883),f31(f906(x93881,a895),x93884)))+P1(f317(f317(f319(f906(x93881,a895)),f761(x93883,x93884,x93881,x93882)),x93884))+~P1(f317(f28(f906(x93881,a895)),x93884))
% 184.03/183.91 [9490]~P70(x94902)+~P1(f317(f28(x94901),f761(x94903,x94904,x94901,x94902)))+E(f317(f317(f8(f906(x94901,a895),x94902),f317(f8(x94901,x94902),x94903)),x94904),f317(f317(f8(x94901,x94902),x94903),f31(f906(x94901,a895),x94904)))+P1(f317(f317(f319(f906(x94901,a895)),f760(x94903,x94904,x94901,x94902)),x94904))+~P1(f317(f28(f906(x94901,a895)),x94904))
% 184.03/183.91 [9491]~P70(x94912)+~P1(f317(f28(x94911),f761(x94913,x94914,x94911,x94912)))+E(f317(f317(f8(f906(x94911,a895),x94912),f317(f8(x94911,x94912),x94913)),x94914),f317(f317(f8(x94911,x94912),x94913),f31(f906(x94911,a895),x94914)))+P1(f317(f317(f319(f906(x94911,a895)),f759(x94913,x94914,x94911,x94912)),x94914))+~P1(f317(f28(f906(x94911,a895)),x94914))
% 184.03/183.91 [9571]~P70(x95712)+E(f317(f317(f8(f906(x95711,a895),x95712),f317(f8(x95711,x95712),x95713)),x95714),f317(f317(f8(x95711,x95712),x95713),f31(f906(x95711,a895),x95714)))+P1(f317(f317(f319(f906(x95711,a895)),f761(x95713,x95714,x95711,x95712)),x95714))+P1(f317(f317(f319(f906(x95711,a895)),f760(x95713,x95714,x95711,x95712)),x95714))+~P1(f317(f28(f906(x95711,a895)),x95714))
% 184.03/183.91 [9572]~P70(x95722)+E(f317(f317(f8(f906(x95721,a895),x95722),f317(f8(x95721,x95722),x95723)),x95724),f317(f317(f8(x95721,x95722),x95723),f31(f906(x95721,a895),x95724)))+P1(f317(f317(f319(f906(x95721,a895)),f761(x95723,x95724,x95721,x95722)),x95724))+P1(f317(f317(f319(f906(x95721,a895)),f759(x95723,x95724,x95721,x95722)),x95724))+~P1(f317(f28(f906(x95721,a895)),x95724))
% 184.03/183.91 [9593]~P70(x95932)+P1(f317(f317(f319(x95931),f762(x95933,x95934,x95931,x95932)),f760(x95933,x95934,x95931,x95932)))+~P1(f317(f28(x95931),f761(x95933,x95934,x95931,x95932)))+E(f317(f317(f8(f906(x95931,a895),x95932),f317(f8(x95931,x95932),x95933)),x95934),f317(f317(f8(x95931,x95932),x95933),f31(f906(x95931,a895),x95934)))+~P1(f317(f28(f906(x95931,a895)),x95934))
% 184.03/183.91 [9594]~P70(x95942)+P1(f317(f317(f319(x95941),f762(x95943,x95944,x95941,x95942)),f759(x95943,x95944,x95941,x95942)))+~P1(f317(f28(x95941),f761(x95943,x95944,x95941,x95942)))+E(f317(f317(f8(f906(x95941,a895),x95942),f317(f8(x95941,x95942),x95943)),x95944),f317(f317(f8(x95941,x95942),x95943),f31(f906(x95941,a895),x95944)))+~P1(f317(f28(f906(x95941,a895)),x95944))
% 184.03/183.91 [9611]P1(f317(x96111,x96112))+~P1(f317(f317(f319(x96113),f360(x96111,x96114,x96112,x96113)),f369(x96111,x96114,x96112,x96113)))+~P1(f317(f28(x96113),x96112))+~P1(f317(x96111,f178(f906(x96113,a895))))+~P1(f317(f317(f224(f906(x96113,a895)),x96112),x96114))
% 184.03/183.91 [9648]~P70(x96482)+P1(f317(f317(f319(x96481),f762(x96483,x96484,x96481,x96482)),f760(x96483,x96484,x96481,x96482)))+E(f317(f317(f8(f906(x96481,a895),x96482),f317(f8(x96481,x96482),x96483)),x96484),f317(f317(f8(x96481,x96482),x96483),f31(f906(x96481,a895),x96484)))+P1(f317(f317(f319(f906(x96481,a895)),f761(x96483,x96484,x96481,x96482)),x96484))+~P1(f317(f28(f906(x96481,a895)),x96484))
% 184.03/183.91 [9649]~P70(x96492)+P1(f317(f317(f319(x96491),f762(x96493,x96494,x96491,x96492)),f759(x96493,x96494,x96491,x96492)))+E(f317(f317(f8(f906(x96491,a895),x96492),f317(f8(x96491,x96492),x96493)),x96494),f317(f317(f8(x96491,x96492),x96493),f31(f906(x96491,a895),x96494)))+P1(f317(f317(f319(f906(x96491,a895)),f761(x96493,x96494,x96491,x96492)),x96494))+~P1(f317(f28(f906(x96491,a895)),x96494))
% 184.03/183.91 [9825]P1(f317(x98251,x98252))+~P1(f317(f28(x98253),x98252))+~P1(f317(x98251,f317(f317(f299(x98253),f360(x98251,x98254,x98252,x98253)),f369(x98251,x98254,x98252,x98253))))+~P1(f317(x98251,f178(f906(x98253,a895))))+~P1(f317(f317(f224(f906(x98253,a895)),x98252),x98254))
% 184.03/183.91 [10157]~P109(x101573)+~P48(a899,x101573,f317(f317(f20(a899,f906(a899,a895),f906(a899,a895)),f317(f317(f10(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f20(a899,a895,a895)),f317(f317(f10(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f317(f10(a895,f906(a895,a895),a899),a315)),f277(a899)))),f317(f317(f10(f906(a899,a895),f906(a899,a895),a899),f317(f10(a895,a895,a899),a312)),f317(f9(a899,a899,a895),f277(a899)))),x101574)+P1(f317(f317(f225(x101573),f317(x101574,x101572)),f317(x101574,x101571)))+~P1(f317(f317(f277(a899),x101572),x101571))+P1(f317(f317(f277(a899),x101571),x101572))
% 184.03/183.91 [7842]~P63(x78421)+P1(f317(f317(f225(x78421),x78422),f2(x78421)))+~P1(f317(f317(f224(x78421),f2(x78421)),x78424))+P1(f317(f317(f225(x78421),f2(x78421)),x78422))+P1(f317(f317(f224(x78421),f317(f317(f281(x78421),x78423),x78422)),x78424))
% 184.03/183.91 [7843]~P63(x78431)+P1(f317(f317(f225(x78431),x78432),f2(x78431)))+P1(f317(f317(f225(x78431),f2(x78431)),x78432))+~P1(f317(f317(f225(x78431),f2(x78431)),x78434))+P1(f317(f317(f225(x78431),f317(f317(f281(x78431),x78433),x78432)),x78434))
% 184.03/183.91 [8123]~P1(f317(f317(f224(a1),x81234),f2(a1)))+~E(x81232,f317(f317(f74(a1),f317(f317(f75(a1),x81231),x81233)),x81234))+P1(f317(f317(f225(a1),f2(a1)),x81231))+~P1(f317(f317(f225(a1),x81231),x81234))+P1(f317(f44(x81232,x81231),f317(f317(f242(a1,a1),x81233),x81234)))
% 184.03/183.91 [8157]~P1(f317(x81571,x81574))+P1(f317(x81571,f883(x81572,x81571,x81573)))+~P1(f317(f317(f224(a1),f2(a1)),x81572))+~P1(f317(f317(f225(a1),f2(a1)),x81573))+P1(f317(x81571,f317(f317(f3(a1),x81574),f317(f317(f75(a1),x81572),x81573))))
% 184.03/183.91 [8158]~P1(f317(x81581,x81584))+P1(f317(x81581,f884(x81582,x81581,x81583)))+~P1(f317(f317(f224(a1),f2(a1)),x81582))+~P1(f317(f317(f225(a1),f2(a1)),x81583))+P1(f317(x81581,f317(f317(f74(a1),x81584),f317(f317(f75(a1),x81582),x81583))))
% 184.03/183.91 [8159]~P63(x81591)+P1(f317(f317(f225(x81591),x81592),f2(x81591)))+P1(f317(f317(f225(x81591),f2(x81591)),x81592))+P1(f317(f317(f224(x81591),f2(x81591)),x81593))+~P1(f317(f317(f224(x81591),f317(f317(f281(x81591),x81594),x81592)),x81593))
% 184.03/183.91 [8160]~P63(x81601)+P1(f317(f317(f225(x81601),x81602),f2(x81601)))+P1(f317(f317(f225(x81601),f2(x81601)),x81602))+P1(f317(f317(f225(x81601),f2(x81601)),x81603))+~P1(f317(f317(f225(x81601),f317(f317(f281(x81601),x81604),x81602)),x81603))
% 184.03/183.91 [8212]~E(x82121,f317(f317(f74(a1),f317(f317(f75(a1),x82122),x82123)),x82124))+~P1(f317(f317(f224(a1),f2(a1)),x82124))+~P1(f317(f317(f225(a1),f2(a1)),x82122))+~P1(f317(f317(f225(a1),x82124),x82122))+P1(f317(f44(x82121,x82122),f317(f317(f242(a1,a1),x82123),x82124)))
% 184.03/183.91 [8329]~P63(x83291)+P1(f317(f317(f225(x83291),x83292),f2(x83291)))+~P1(f317(f317(f224(x83291),f2(x83291)),x83294))+~P1(f317(f317(f224(x83291),x83293),f317(f317(f75(x83291),x83294),x83292)))+P1(f317(f317(f224(x83291),f317(f317(f281(x83291),x83293),x83292)),x83294))
% 184.03/183.91 [8330]~P63(x83301)+P1(f317(f317(f225(x83301),x83302),f2(x83301)))+~P1(f317(f317(f225(x83301),f2(x83301)),x83304))+~P1(f317(f317(f225(x83301),x83303),f317(f317(f75(x83301),x83304),x83302)))+P1(f317(f317(f225(x83301),f317(f317(f281(x83301),x83303),x83302)),x83304))
% 184.03/183.91 [8415]~P63(x84151)+P1(f317(f317(f225(x84151),x84152),f2(x84151)))+~P1(f317(f317(f224(x84151),x84153),f2(x84151)))+P1(f317(f317(f224(x84151),x84153),f317(f317(f281(x84151),x84154),x84152)))+~P1(f317(f317(f224(x84151),f317(f317(f75(x84151),x84153),x84152)),x84154))
% 184.03/183.91 [8416]~P63(x84161)+P1(f317(f317(f225(x84161),x84162),f2(x84161)))+~P1(f317(f317(f225(x84161),x84163),f2(x84161)))+P1(f317(f317(f225(x84161),x84163),f317(f317(f281(x84161),x84164),x84162)))+~P1(f317(f317(f225(x84161),f317(f317(f75(x84161),x84163),x84162)),x84164))
% 184.03/183.91 [8569]~P63(x85691)+~P1(f317(f317(f225(x85691),x85692),f2(x85691)))+P1(f317(f317(f225(x85691),f2(x85691)),x85692))+~P1(f317(f317(f224(x85691),f317(f317(f281(x85691),x85694),x85692)),x85693))+P1(f317(f317(f224(x85691),f317(f317(f75(x85691),x85693),x85692)),x85694))
% 184.03/183.91 [8570]~P63(x85701)+~P1(f317(f317(f225(x85701),x85702),f2(x85701)))+P1(f317(f317(f225(x85701),f2(x85701)),x85702))+~P1(f317(f317(f224(x85701),f317(f317(f75(x85701),x85704),x85702)),x85703))+P1(f317(f317(f224(x85701),f317(f317(f281(x85701),x85703),x85702)),x85704))
% 184.03/183.91 [8571]~P63(x85711)+~P1(f317(f317(f225(x85711),x85712),f2(x85711)))+P1(f317(f317(f225(x85711),f2(x85711)),x85712))+~P1(f317(f317(f225(x85711),f317(f317(f281(x85711),x85714),x85712)),x85713))+P1(f317(f317(f225(x85711),f317(f317(f75(x85711),x85713),x85712)),x85714))
% 184.03/183.91 [8572]~P63(x85721)+~P1(f317(f317(f225(x85721),x85722),f2(x85721)))+P1(f317(f317(f225(x85721),f2(x85721)),x85722))+~P1(f317(f317(f225(x85721),f317(f317(f75(x85721),x85724),x85722)),x85723))+P1(f317(f317(f225(x85721),f317(f317(f281(x85721),x85723),x85722)),x85724))
% 184.03/183.91 [8588]~P63(x85881)+~P1(f317(f317(f224(x85881),f2(x85881)),x85884))+P1(f317(f317(f225(x85881),f2(x85881)),x85882))+~P1(f317(f317(f224(x85881),f317(f317(f75(x85881),x85884),x85882)),x85883))+P1(f317(f317(f224(x85881),f317(f317(f281(x85881),x85883),x85882)),x85884))
% 184.03/183.91 [8589]~P63(x85891)+~P1(f317(f317(f225(x85891),f2(x85891)),x85894))+P1(f317(f317(f225(x85891),f2(x85891)),x85892))+~P1(f317(f317(f225(x85891),f317(f317(f75(x85891),x85894),x85892)),x85893))+P1(f317(f317(f225(x85891),f317(f317(f281(x85891),x85893),x85892)),x85894))
% 184.03/183.91 [8665]~P63(x86651)+~P1(f317(f317(f225(x86651),x86654),f2(x86651)))+~P1(f317(f317(f224(x86651),x86653),f317(f317(f75(x86651),x86652),x86654)))+P1(f317(f317(f224(x86651),x86652),f317(f317(f281(x86651),x86653),x86654)))+~P1(f317(f317(f224(x86651),f317(f317(f75(x86651),x86652),x86654)),x86653))
% 184.03/183.91 [8666]~P63(x86661)+~P1(f317(f317(f224(x86661),x86662),f2(x86661)))+~P1(f317(f317(f224(x86661),x86663),f317(f317(f75(x86661),x86662),x86664)))+P1(f317(f317(f224(x86661),x86662),f317(f317(f281(x86661),x86663),x86664)))+~P1(f317(f317(f224(x86661),f317(f317(f75(x86661),x86662),x86664)),x86663))
% 184.03/183.91 [8667]~P63(x86671)+~P1(f317(f317(f225(x86671),x86674),f2(x86671)))+~P1(f317(f317(f225(x86671),x86673),f317(f317(f75(x86671),x86672),x86674)))+P1(f317(f317(f225(x86671),x86672),f317(f317(f281(x86671),x86673),x86674)))+~P1(f317(f317(f225(x86671),f317(f317(f75(x86671),x86672),x86674)),x86673))
% 184.03/183.91 [8668]~P63(x86681)+~P1(f317(f317(f225(x86681),x86682),f2(x86681)))+~P1(f317(f317(f225(x86681),x86683),f317(f317(f75(x86681),x86682),x86684)))+P1(f317(f317(f225(x86681),x86682),f317(f317(f281(x86681),x86683),x86684)))+~P1(f317(f317(f225(x86681),f317(f317(f75(x86681),x86682),x86684)),x86683))
% 184.03/183.91 [8790]~P63(x87901)+~P1(f317(f317(f225(x87901),x87903),f2(x87901)))+~P1(f317(f317(f224(x87901),x87902),f317(f317(f75(x87901),x87904),x87903)))+~P1(f317(f317(f224(x87901),f317(f317(f75(x87901),x87904),x87903)),x87902))+P1(f317(f317(f224(x87901),f317(f317(f281(x87901),x87902),x87903)),x87904))
% 184.03/183.91 [8791]~P63(x87911)+~P1(f317(f317(f225(x87911),x87913),f2(x87911)))+~P1(f317(f317(f225(x87911),x87912),f317(f317(f75(x87911),x87914),x87913)))+~P1(f317(f317(f225(x87911),f317(f317(f75(x87911),x87914),x87913)),x87912))+P1(f317(f317(f225(x87911),f317(f317(f281(x87911),x87912),x87913)),x87914))
% 184.03/183.91 [8808]~P63(x88081)+~P1(f317(f317(f224(x88081),f2(x88081)),x88084))+~P1(f317(f317(f224(x88081),x88082),f317(f317(f75(x88081),x88084),x88083)))+~P1(f317(f317(f224(x88081),f317(f317(f75(x88081),x88084),x88083)),x88082))+P1(f317(f317(f224(x88081),f317(f317(f281(x88081),x88082),x88083)),x88084))
% 184.03/183.91 [8809]~P63(x88091)+~P1(f317(f317(f225(x88091),f2(x88091)),x88094))+~P1(f317(f317(f225(x88091),x88092),f317(f317(f75(x88091),x88094),x88093)))+~P1(f317(f317(f225(x88091),f317(f317(f75(x88091),x88094),x88093)),x88092))+P1(f317(f317(f225(x88091),f317(f317(f281(x88091),x88092),x88093)),x88094))
% 184.03/183.91 [8992]E(f317(f317(f3(a1),f349(x89921,x89922,x89923,x89924)),f350(x89921,x89922,x89923,x89924)),x89924)+~P1(f317(f317(f225(a1),f2(a1)),x89923))+~P1(f317(f317(f319(a1),x89922),x89921))+~P1(f317(f317(f225(a1),x89924),x89922))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x89924),x89923)),x89922))
% 184.03/183.91 [9063]~P1(f317(x90631,x90632))+~P1(f317(f317(f224(a1),f2(a1)),x90633))+~P1(f317(f317(f225(a1),f2(a1)),x90634))+~P1(f317(x90631,f317(f317(f3(a1),f883(x90633,x90631,x90634)),x90634)))+P1(f317(x90631,f317(f317(f3(a1),x90632),f317(f317(f75(a1),x90633),x90634))))
% 184.03/183.91 [9064]~P1(f317(x90641,x90642))+~P1(f317(f317(f224(a1),f2(a1)),x90643))+~P1(f317(f317(f225(a1),f2(a1)),x90644))+~P1(f317(x90641,f317(f317(f74(a1),f884(x90643,x90641,x90644)),x90644)))+P1(f317(x90641,f317(f317(f74(a1),x90642),f317(f317(f75(a1),x90643),x90644))))
% 184.03/183.91 [9214]~P1(f317(f317(f225(a1),f2(a1)),x92143))+~P1(f317(f317(f319(a1),x92142),x92141))+~P1(f317(f317(f225(a1),x92144),x92142))+P1(f317(f317(f319(a1),f349(x92141,x92142,x92143,x92144)),x92141))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92144),x92143)),x92142))
% 184.03/183.91 [9233]E(f317(f317(f3(a1),f344(x92331,x92332,x92333,x92334)),f345(x92331,x92332,x92333,x92334)),x92334)+~P1(f317(f317(f225(a1),f2(a1)),x92333))+~P1(f317(f317(f224(a1),x92334),x92332))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x92332),f72(a1))),x92331))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x92334),x92333)),x92332))
% 184.03/183.91 [9261]~P1(f317(f317(f225(a1),f2(a1)),x92612))+~P1(f317(f317(f319(a1),x92613),x92614))+~P1(f317(f317(f225(a1),x92611),x92613))+P1(f317(f317(f319(a1),f350(x92614,x92613,x92612,x92611)),f293(a1,f72(a1),x92612)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92611),x92612)),x92613))
% 184.03/183.91 [9352]~P1(f317(f317(f225(a1),f2(a1)),x93523))+~P1(f317(f317(f224(a1),x93524),x93522))+P1(f317(f317(f319(a1),f344(x93521,x93522,x93523,x93524)),x93521))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93522),f72(a1))),x93521))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93524),x93523)),x93522))
% 184.03/183.91 [9400]~P1(f317(f317(f225(a1),f2(a1)),x94002))+~P1(f317(f317(f224(a1),x94001),x94003))+P1(f317(f317(f319(a1),f345(x94004,x94003,x94002,x94001)),f293(a1,f72(a1),x94002)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x94003),f72(a1))),x94004))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x94001),x94002)),x94003))
% 184.03/183.91 [9703]~P36(x97031,x97033)+~P26(x97031,x97034)+P36(x97031,f317(f317(f91(f906(f905(x97031,x97031),a895)),x97032),x97033))+~P1(f317(f317(f224(f906(f905(x97031,x97031),a895)),x97032),f317(f241(f906(f905(x97031,x97031),a895),f906(f905(x97031,x97031),a895)),x97034)))+~P1(f317(f317(f224(f906(f905(x97031,x97031),a895)),x97033),f317(f246(f906(f905(x97031,x97031),a895),f906(f905(x97031,x97031),a895)),x97034)))
% 184.03/183.91 [10091]~P18(x100912,x100914,x100913)+E(x100911,f178(f906(x100912,a895)))+~P1(f317(f28(x100912),x100911))+P1(f317(f317(f319(x100912),f317(x100913,x100911)),x100911))+~P1(f317(f317(f319(x100912),f317(f317(x100914,f337(x100911,x100913,x100914,x100912)),f348(x100911,x100913,x100914,x100912))),f317(f317(f299(x100912),f337(x100911,x100913,x100914,x100912)),f317(f317(f299(x100912),f348(x100911,x100913,x100914,x100912)),f178(f906(x100912,a895))))))
% 184.03/183.91 [10016]~P109(x100162)+~P60(x100161)+~P1(f317(f317(f224(f906(x100161,x100162)),x100163),x100164))+P1(f317(f317(f225(f906(x100161,x100162)),x100163),x100164))+~P1(f317(f51(x100161),f317(f317(f10(a895,a895,x100161),a312),f317(f317(f20(x100161,x100162,a895),f317(f317(f10(x100162,f906(x100162,a895),x100161),a314),x100163)),x100164))))
% 184.03/183.91 [9617]~P54(x96171,x96171,x96174)+P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96172),x96173)),f297(x96171,x96174)))+P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96173),x96172)),f297(x96171,x96174)))+~P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96175),x96172)),f297(x96171,x96174)))+~P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96175),x96173)),f297(x96171,x96174)))
% 184.03/183.91 [5696]E(x56961,f2(a899))+~E(f317(f29(x56962),x56965),x56961)+E(f317(f29(x56962),x56963),f317(a102,x56961))+~E(x56963,f317(f317(f299(x56962),x56964),x56965))+P1(f317(f317(f319(x56962),x56964),x56965))
% 184.03/183.91 [5818]~P62(x58182)+E(x58181,f2(x58182))+E(x58183,f2(x58182))+~E(f317(f317(f281(x58182),x58184),x58183),f317(f317(f281(x58182),x58185),x58181))+E(f317(f317(f75(x58182),x58184),x58181),f317(f317(f75(x58182),x58185),x58183))
% 184.03/183.91 [5819]~P62(x58192)+E(x58191,f2(x58192))+E(x58193,f2(x58192))+~E(f317(f317(f75(x58192),x58194),x58193),f317(f317(f75(x58192),x58195),x58191))+E(f317(f317(f281(x58192),x58194),x58191),f317(f317(f281(x58192),x58195),x58193))
% 184.03/183.91 [5897]~E(f317(f29(x58971),x58975),x58973)+~E(x58975,f178(f906(x58971,a895)))+E(f317(f29(x58971),x58972),f317(a102,x58973))+~E(x58972,f317(f317(f299(x58971),x58974),x58975))+P1(f317(f317(f319(x58971),x58974),x58975))
% 184.03/183.91 [6138]~P120(x61382)+~E(f317(x61383,x61385),f2(x61382))+E(f317(f317(f11(x61381,x61382),x61383),x61384),f2(x61382))+~P1(f317(f28(x61381),x61384))+~P1(f317(f317(f319(x61381),x61385),x61384))
% 184.03/183.91 [6521]~P107(x65213)+E(x65211,x65212)+~E(f317(f292(x65213,x65214),x65211),f317(f292(x65213,x65215),x65212))+~P1(f317(f317(f225(x65213),x65215),x65212))+~P1(f317(f317(f225(x65213),x65214),x65211))
% 184.03/183.91 [6522]~P107(x65223)+E(x65221,x65222)+~E(f317(f292(x65223,x65221),x65224),f317(f292(x65223,x65222),x65225))+~P1(f317(f317(f225(x65223),x65222),x65225))+~P1(f317(f317(f225(x65223),x65221),x65224))
% 184.03/183.91 [7603]~P107(x76031)+~P13(x76031,f317(f317(f124(x76031),x76034),x76035))+~P1(f317(f317(f319(x76031),x76033),f317(f162(x76031),x76035)))+~P1(f317(f317(f319(x76031),x76032),f317(f162(x76031),x76034)))+P1(f317(f317(f224(x76031),x76032),x76033))
% 184.03/183.91 [8702]~P109(x87021)+~P1(f317(f317(f225(f906(x87021,a895)),f293(x87021,x87025,x87022)),f293(x87021,x87024,x87023)))+~P1(f317(f317(f224(x87021),x87025),x87022))+P1(f317(f317(f225(x87021),x87022),x87023))+P1(f317(f317(f225(x87021),x87024),x87025))
% 184.03/183.91 [10134]~P17(x101342,x101345,x101343)+E(x101341,f178(f906(x101342,a895)))+~E(f317(f317(x101345,f317(x101344,f380(x101341,x101344,x101343,x101345,x101342))),f317(x101344,f394(x101341,x101344,x101343,x101345,x101342))),f317(x101344,f317(f317(x101345,f380(x101341,x101344,x101343,x101345,x101342)),f394(x101341,x101344,x101343,x101345,x101342))))+E(f317(x101343,f317(f300(x101342,x101342,x101344),x101341)),f317(x101344,f317(x101343,x101341)))+~P1(f317(f28(x101342),x101341))
% 184.03/183.91 [6518]~P18(x65182,x65185,x65183)+E(x65181,f178(f906(x65182,a895)))+~P1(f317(f28(x65182),x65181))+E(f317(x65183,f317(f317(f299(x65182),x65184),x65181)),f317(f317(x65185,x65184),f317(x65183,x65181)))+P1(f317(f317(f319(x65182),x65184),x65181))
% 184.03/183.91 [7364]~P17(x73642,x73643,x73644)+E(f317(f317(x73643,f317(x73644,x73641)),f317(x73644,x73645)),f317(x73644,x73645))+E(x73641,f178(f906(x73642,a895)))+~P1(f317(f28(x73642),x73645))+~P1(f317(f317(f224(f906(x73642,a895)),x73641),x73645))
% 184.03/183.91 [7741]~P18(x77414,x77415,x77411)+E(f317(x77411,x77412),x77413)+~P1(f317(f28(x77414),x77412))+~E(f317(f317(f3(f906(x77414,a895)),x77412),f317(f317(f299(x77414),x77413),f178(f906(x77414,a895)))),f178(f906(x77414,a895)))+~P1(f317(f317(f319(x77414),x77413),x77412))
% 184.03/183.91 [8623]~P74(x86231)+~P123(x86231)+~P1(f317(f28(x86232),x86235))+P1(f317(f317(f277(x86231),f317(f317(f11(x86232,x86231),x86233),x86234)),f317(f317(f11(x86232,x86231),x86233),x86235)))+~P1(f317(f317(f224(f906(x86232,a895)),x86234),x86235))
% 184.03/183.91 [8672]E(x86721,x86722)+~P8(x86723,x86724,x86725)+E(f317(f317(f92(f906(x86723,a895)),x86721),x86722),f178(f906(x86723,a895)))+~P1(f317(f317(f319(f906(x86723,a895)),x86722),f317(f317(f55(x86723),x86724),x86725)))+~P1(f317(f317(f319(f906(x86723,a895)),x86721),f317(f317(f55(x86723),x86724),x86725)))
% 184.03/183.91 [9483]~P70(x94832)+~E(f317(x94833,f827(x94833,x94834,x94835,x94831,x94832)),f2(x94832))+E(f317(f317(f8(x94831,x94832),x94833),x94834),f317(f317(f8(x94831,x94832),x94833),x94835))+~P1(f317(f28(x94831),x94835))+~P1(f317(f317(f224(f906(x94831,a895)),x94834),x94835))
% 184.03/183.91 [9484]~P70(x94842)+~E(f317(x94843,f847(x94843,x94844,x94845,x94841,x94842)),f2(x94842))+E(f317(f317(f8(x94841,x94842),x94843),x94844),f317(f317(f8(x94841,x94842),x94843),x94845))+~P1(f317(f28(x94841),x94845))+~P1(f317(f317(f224(f906(x94841,a895)),x94844),x94845))
% 184.03/183.91 [9485]~P74(x94852)+~E(f317(x94853,f613(x94853,x94854,x94855,x94851,x94852)),f72(x94852))+E(f317(f317(f11(x94851,x94852),x94853),x94854),f317(f317(f11(x94851,x94852),x94853),x94855))+~P1(f317(f28(x94851),x94855))+~P1(f317(f317(f224(f906(x94851,a895)),x94854),x94855))
% 184.03/183.91 [9486]~P74(x94862)+~E(f317(x94863,f634(x94863,x94864,x94865,x94861,x94862)),f72(x94862))+E(f317(f317(f11(x94861,x94862),x94863),x94864),f317(f317(f11(x94861,x94862),x94863),x94865))+~P1(f317(f28(x94861),x94865))+~P1(f317(f317(f224(f906(x94861,a895)),x94864),x94865))
% 184.03/183.91 [9969]~P87(x99691)+~P1(f317(f28(x99692),x99695))+~P1(f317(f317(f224(x99691),f2(x99691)),f317(x99693,f778(x99693,x99694,x99695,x99692,x99691))))+P1(f317(f317(f224(x99691),f317(f317(f8(x99692,x99691),x99693),x99694)),f317(f317(f8(x99692,x99691),x99693),x99695)))+~P1(f317(f317(f224(f906(x99692,a895)),x99694),x99695))
% 184.03/183.91 [7600]E(x76001,f2(a899))+P1(f317(x76002,x76003))+~E(x76004,f317(f317(f74(a899),f317(f317(f75(a899),x76001),x76003)),x76005))+~P1(f317(f317(f225(a899),x76005),x76001))+~P1(f317(x76002,f317(f317(f30(a899),x76004),x76001)))
% 184.03/183.91 [7679]E(x76791,f2(a899))+P1(f317(x76792,x76793))+~P1(f317(x76792,f40(a899,x76794,x76791)))+~E(x76794,f317(f317(f74(a899),f317(f317(f75(a899),x76791),x76795)),x76793))+~P1(f317(f317(f225(a899),x76793),x76791))
% 184.03/183.91 [7973]~P62(x79733)+E(f317(x79731,x79732),f2(x79733))+~P1(f317(f28(x79734),x79735))+E(f317(f317(f11(x79734,x79733),x79731),f317(f317(f3(f906(x79734,a895)),x79735),f317(f317(f299(x79734),x79732),f178(f906(x79734,a895))))),f317(f317(f11(x79734,x79733),x79731),x79735))+P1(f317(f317(f319(x79734),x79732),x79735))
% 184.03/183.91 [8370]~P70(x83701)+~P1(f317(f28(x83702),x83705))+~P1(f317(f28(x83702),x83704))+~E(f317(f317(f92(f906(x83702,a895)),x83704),x83705),f178(f906(x83702,a895)))+E(f317(f317(f74(x83701),f317(f317(f8(x83702,x83701),x83703),x83704)),f317(f317(f8(x83702,x83701),x83703),x83705)),f317(f317(f8(x83702,x83701),x83703),f317(f317(f91(f906(x83702,a895)),x83704),x83705)))
% 184.03/183.91 [8372]~P74(x83721)+~P1(f317(f28(x83722),x83725))+~P1(f317(f28(x83722),x83724))+~E(f317(f317(f92(f906(x83722,a895)),x83724),x83725),f178(f906(x83722,a895)))+E(f317(f317(f75(x83721),f317(f317(f11(x83722,x83721),x83723),x83724)),f317(f317(f11(x83722,x83721),x83723),x83725)),f317(f317(f11(x83722,x83721),x83723),f317(f317(f91(f906(x83722,a895)),x83724),x83725)))
% 184.03/183.91 [8471]~P62(x84713)+E(f317(x84711,x84712),f2(x84713))+~P1(f317(f28(x84714),x84715))+E(f317(f317(f11(x84714,x84713),x84711),f317(f317(f3(f906(x84714,a895)),x84715),f317(f317(f299(x84714),x84712),f178(f906(x84714,a895))))),f317(f317(f281(x84713),f317(f317(f11(x84714,x84713),x84711),x84715)),f317(x84711,x84712)))+~P1(f317(f317(f319(x84714),x84712),x84715))
% 184.03/183.91 [9191]~P8(x91911,x91915,x91914)+~E(f317(f317(f55(x91911),f317(f317(f299(x91911),x91912),f178(f906(x91911,a895)))),x91914),f317(f317(f55(x91911),f317(f317(f299(x91911),x91913),f178(f906(x91911,a895)))),x91914))+~P1(f317(f317(f319(x91911),x91913),x91915))+~P1(f317(f317(f319(x91911),x91912),x91915))+P1(f317(f317(f319(f905(x91911,x91911)),f317(f317(f242(x91911,x91911),x91912),x91913)),x91914))
% 184.03/183.91 [9213]~P8(x92131,x92135,x92133)+E(f317(f317(f55(x92131),f317(f317(f299(x92131),x92132),f178(f906(x92131,a895)))),x92133),f317(f317(f55(x92131),f317(f317(f299(x92131),x92134),f178(f906(x92131,a895)))),x92133))+~P1(f317(f317(f319(x92131),x92134),x92135))+~P1(f317(f317(f319(x92131),x92132),x92135))+~P1(f317(f317(f319(f905(x92131,x92131)),f317(f317(f242(x92131,x92131),x92132),x92134)),x92133))
% 184.03/183.91 [9512]~P74(x95121)+~P1(f317(f28(x95122),x95125))+~P1(f317(f28(x95122),x95124))+~E(f317(f317(f92(f906(x95122,a895)),x95124),x95125),f178(f906(x95122,a895)))+E(f317(f317(f75(x95121),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),x95124)),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),x95125)),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),f317(f317(f91(f906(x95122,a895)),x95124),x95125)))
% 184.03/183.91 [9523]~P70(x95231)+~E(f317(x95233,f416(x95233,x95235,x95234,x95232,x95231)),f2(x95231))+~P1(f317(f28(x95232),x95234))+~P1(f317(f28(x95232),x95235))+E(f317(f317(f74(x95231),f317(f317(f8(x95232,x95231),x95233),x95234)),f317(f317(f8(x95232,x95231),x95233),x95235)),f317(f317(f8(x95232,x95231),x95233),f317(f317(f91(f906(x95232,a895)),x95234),x95235)))
% 184.03/183.91 [9524]~P70(x95241)+~E(f317(x95243,f417(x95243,x95245,x95244,x95242,x95241)),f2(x95241))+~P1(f317(f28(x95242),x95244))+~P1(f317(f28(x95242),x95245))+E(f317(f317(f74(x95241),f317(f317(f8(x95242,x95241),x95243),x95244)),f317(f317(f8(x95242,x95241),x95243),x95245)),f317(f317(f8(x95242,x95241),x95243),f317(f317(f91(f906(x95242,a895)),x95244),x95245)))
% 184.03/183.91 [9525]~P74(x95251)+~E(f317(x95253,f413(x95253,x95255,x95254,x95252,x95251)),f72(x95251))+~P1(f317(f28(x95252),x95254))+~P1(f317(f28(x95252),x95255))+E(f317(f317(f75(x95251),f317(f317(f11(x95252,x95251),x95253),x95254)),f317(f317(f11(x95252,x95251),x95253),x95255)),f317(f317(f11(x95252,x95251),x95253),f317(f317(f91(f906(x95252,a895)),x95254),x95255)))
% 184.03/183.91 [9526]~P74(x95261)+~E(f317(x95263,f415(x95263,x95265,x95264,x95262,x95261)),f72(x95261))+~P1(f317(f28(x95262),x95264))+~P1(f317(f28(x95262),x95265))+E(f317(f317(f75(x95261),f317(f317(f11(x95262,x95261),x95263),x95264)),f317(f317(f11(x95262,x95261),x95263),x95265)),f317(f317(f11(x95262,x95261),x95263),f317(f317(f91(f906(x95262,a895)),x95264),x95265)))
% 184.03/183.91 [9746]~P74(x97461)+~E(f317(x97463,f427(x97463,x97465,x97464,x97462,x97461)),f72(x97461))+~P1(f317(f28(x97462),x97464))+~P1(f317(f28(x97462),x97465))+E(f317(f317(f75(x97461),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),x97464)),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),x97465)),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),f317(f317(f91(f906(x97462,a895)),x97464),x97465)))
% 184.03/183.91 [9856]~P70(x98562)+E(f317(f317(f8(x98561,x98562),x98563),x98564),f317(f317(f8(x98561,x98562),x98563),x98565))+~P1(f317(f28(x98561),x98565))+~P1(f317(f317(f224(f906(x98561,a895)),x98564),x98565))+P1(f317(f317(f319(x98561),f827(x98563,x98564,x98565,x98561,x98562)),f317(f317(f3(f906(x98561,a895)),x98565),x98564)))
% 184.03/183.91 [9857]~P70(x98572)+E(f317(f317(f8(x98571,x98572),x98573),x98574),f317(f317(f8(x98571,x98572),x98573),x98575))+~P1(f317(f28(x98571),x98575))+~P1(f317(f317(f224(f906(x98571,a895)),x98574),x98575))+P1(f317(f317(f319(x98571),f847(x98573,x98574,x98575,x98571,x98572)),f317(f317(f3(f906(x98571,a895)),x98575),x98574)))
% 184.03/183.91 [9858]~P74(x98582)+E(f317(f317(f11(x98581,x98582),x98583),x98584),f317(f317(f11(x98581,x98582),x98583),x98585))+~P1(f317(f28(x98581),x98585))+~P1(f317(f317(f224(f906(x98581,a895)),x98584),x98585))+P1(f317(f317(f319(x98581),f613(x98583,x98584,x98585,x98581,x98582)),f317(f317(f3(f906(x98581,a895)),x98585),x98584)))
% 184.03/183.91 [9859]~P74(x98592)+E(f317(f317(f11(x98591,x98592),x98593),x98594),f317(f317(f11(x98591,x98592),x98593),x98595))+~P1(f317(f28(x98591),x98595))+~P1(f317(f317(f224(f906(x98591,a895)),x98594),x98595))+P1(f317(f317(f319(x98591),f634(x98593,x98594,x98595,x98591,x98592)),f317(f317(f3(f906(x98591,a895)),x98595),x98594)))
% 184.03/183.91 [9878]~P70(x98781)+~P1(f317(f28(x98782),x98784))+~P1(f317(f28(x98782),x98785))+E(f317(f317(f74(x98781),f317(f317(f8(x98782,x98781),x98783),x98784)),f317(f317(f8(x98782,x98781),x98783),x98785)),f317(f317(f8(x98782,x98781),x98783),f317(f317(f91(f906(x98782,a895)),x98784),x98785)))+P1(f317(f317(f319(x98782),f416(x98783,x98785,x98784,x98782,x98781)),f317(f317(f92(f906(x98782,a895)),x98784),x98785)))
% 184.03/183.91 [9879]~P70(x98791)+~P1(f317(f28(x98792),x98794))+~P1(f317(f28(x98792),x98795))+E(f317(f317(f74(x98791),f317(f317(f8(x98792,x98791),x98793),x98794)),f317(f317(f8(x98792,x98791),x98793),x98795)),f317(f317(f8(x98792,x98791),x98793),f317(f317(f91(f906(x98792,a895)),x98794),x98795)))+P1(f317(f317(f319(x98792),f417(x98793,x98795,x98794,x98792,x98791)),f317(f317(f92(f906(x98792,a895)),x98794),x98795)))
% 184.03/183.91 [9880]~P74(x98801)+~P1(f317(f28(x98802),x98804))+~P1(f317(f28(x98802),x98805))+E(f317(f317(f75(x98801),f317(f317(f11(x98802,x98801),x98803),x98804)),f317(f317(f11(x98802,x98801),x98803),x98805)),f317(f317(f11(x98802,x98801),x98803),f317(f317(f91(f906(x98802,a895)),x98804),x98805)))+P1(f317(f317(f319(x98802),f413(x98803,x98805,x98804,x98802,x98801)),f317(f317(f92(f906(x98802,a895)),x98804),x98805)))
% 184.03/183.91 [9881]~P74(x98811)+~P1(f317(f28(x98812),x98814))+~P1(f317(f28(x98812),x98815))+E(f317(f317(f75(x98811),f317(f317(f11(x98812,x98811),x98813),x98814)),f317(f317(f11(x98812,x98811),x98813),x98815)),f317(f317(f11(x98812,x98811),x98813),f317(f317(f91(f906(x98812,a895)),x98814),x98815)))+P1(f317(f317(f319(x98812),f415(x98813,x98815,x98814,x98812,x98811)),f317(f317(f92(f906(x98812,a895)),x98814),x98815)))
% 184.03/183.91 [9887]~P87(x98875)+~P1(f317(f28(x98871),x98874))+P1(f317(f317(f224(x98875),f317(f317(f8(x98871,x98875),x98872),x98873)),f317(f317(f8(x98871,x98875),x98872),x98874)))+~P1(f317(f317(f224(f906(x98871,a895)),x98873),x98874))+P1(f317(f317(f319(x98871),f778(x98872,x98873,x98874,x98871,x98875)),f317(f317(f3(f906(x98871,a895)),x98874),x98873)))
% 184.03/183.91 [9931]~P74(x99311)+~P1(f317(f28(x99312),x99314))+~P1(f317(f28(x99312),x99315))+E(f317(f317(f75(x99311),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),x99314)),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),x99315)),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),f317(f317(f91(f906(x99312,a895)),x99314),x99315)))+P1(f317(f317(f319(x99312),f427(x99313,x99315,x99314,x99312,x99311)),f317(f317(f92(f906(x99312,a895)),x99314),x99315)))
% 184.03/183.91 [8881]~P18(x88811,x88814,x88815)+~P1(f317(f28(x88811),x88812))+E(f317(f317(f3(f906(x88811,a895)),x88812),f317(f317(f299(x88811),x88813),f178(f906(x88811,a895)))),f178(f906(x88811,a895)))+~P1(f317(f317(f319(x88811),x88813),x88812))+E(f317(f317(x88814,x88813),f317(x88815,f317(f317(f3(f906(x88811,a895)),x88812),f317(f317(f299(x88811),x88813),f178(f906(x88811,a895)))))),f317(x88815,x88812))
% 184.03/183.91 [8959]~P18(x89591,x89594,x89595)+~P1(f317(f28(x89591),x89593))+~P1(f317(f28(x89591),x89592))+E(f317(f317(f92(f906(x89591,a895)),x89592),x89593),f178(f906(x89591,a895)))+E(f317(f317(x89594,f317(x89595,f317(f317(f91(f906(x89591,a895)),x89592),x89593))),f317(x89595,f317(f317(f92(f906(x89591,a895)),x89592),x89593))),f317(f317(x89594,f317(x89595,x89592)),f317(x89595,x89593)))
% 184.03/183.91 [9528]~P1(f317(f317(f224(a1),x95284),f2(a1)))+~P1(f317(f317(f225(a1),x95283),x95285))+P1(f317(f317(f224(a1),x95281),x95282))+~P1(f317(f317(f225(a1),x95283),x95284))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95283),x95282)),x95285)),f317(f317(f74(a1),f317(f317(f75(a1),x95283),x95281)),x95284)))
% 184.03/183.91 [9530]~P1(f317(f317(f224(a1),f2(a1)),x95305))+P1(f317(f317(f224(a1),x95301),x95302))+~P1(f317(f317(f225(a1),x95303),x95304))+~P1(f317(f317(f225(a1),x95305),x95304))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95304),x95301)),x95305)),f317(f317(f74(a1),f317(f317(f75(a1),x95304),x95302)),x95303)))
% 184.03/183.91 [9655]~P62(x96555)+E(f317(x96551,f414(x96551,x96552,x96553,x96554,x96555)),f2(x96555))+~P1(f317(f28(x96554),x96553))+~P1(f317(f28(x96554),x96552))+E(f317(f317(f281(x96555),f317(f317(f75(x96555),f317(f317(f11(x96554,x96555),x96551),x96553)),f317(f317(f11(x96554,x96555),x96551),x96552))),f317(f317(f11(x96554,x96555),x96551),f317(f317(f92(f906(x96554,a895)),x96553),x96552))),f317(f317(f11(x96554,x96555),x96551),f317(f317(f91(f906(x96554,a895)),x96553),x96552)))
% 184.03/183.91 [9923]~P62(x99231)+~P1(f317(f28(x99232),x99234))+~P1(f317(f28(x99232),x99235))+E(f317(f317(f281(x99231),f317(f317(f75(x99231),f317(f317(f11(x99232,x99231),x99233),x99234)),f317(f317(f11(x99232,x99231),x99233),x99235))),f317(f317(f11(x99232,x99231),x99233),f317(f317(f92(f906(x99232,a895)),x99234),x99235))),f317(f317(f11(x99232,x99231),x99233),f317(f317(f91(f906(x99232,a895)),x99234),x99235)))+P1(f317(f317(f319(x99232),f414(x99233,x99235,x99234,x99232,x99231)),f317(f317(f92(f906(x99232,a895)),x99234),x99235)))
% 184.03/183.91 [9232]E(f317(f317(f124(x92321),x92322),x92323),f317(f317(f124(x92321),x92324),x92325))+~E(f317(f317(f165(x92321),f317(f179(f900(x92321)),x92324)),x92322),x92324)+~E(f317(f317(f165(x92321),f317(f179(f900(x92321)),x92322)),x92324),x92322)+~E(x92325,f317(f317(f124(x92321),f317(f317(f128(x92321),f317(f179(f900(x92321)),x92324)),x92322)),x92323))+~E(f317(f317(f124(x92321),f317(f317(f128(x92321),f317(f179(f900(x92321)),x92322)),x92324)),x92325),x92323)
% 184.03/183.91 [9652]~P107(x96522)+E(f317(f317(f138(x96521,x96522,x96523),x96524),f160(x96521,x96524,x96525)),x96525)+~P13(x96522,f317(f317(f144(x96521,x96522),x96523),x96525))+~P1(f317(f317(f319(x96521),x96524),f317(f162(x96521),x96525)))+~E(f317(f131(x96521),f317(f126(x96521,f317(f317(f10(x96522,a895,x96521),f317(a314,f317(x96523,x96524))),x96523)),x96525)),x96524)
% 184.03/183.91 [9987]~P68(x99871)+~P1(f317(f60(x99871,x99871,f75(x99871),x99872,x99873),x99875))+~P1(f317(f317(f319(x99871),x99874),x99873))+P1(f317(f317(f319(x99871),x99872),x99873))+P1(f317(f60(x99871,x99871,f75(x99871),x99874,f317(f317(f299(x99871),x99872),f317(f317(f3(f906(x99871,a895)),x99873),f317(f317(f299(x99871),x99874),f178(f906(x99871,a895)))))),x99875))
% 184.03/183.91 [7372]E(x73721,x73722)+~P24(x73724,x73725,x73723,x73726)+~E(f317(x73723,x73721),f317(x73723,x73722))+~P1(f317(f317(f319(x73724),x73722),x73726))+~P1(f317(f317(f319(x73724),x73721),x73726))
% 184.03/183.91 [6614]~P143(x66144)+E(x66141,x66142)+~E(x66145,x66146)+E(x66143,f2(x66144))+~E(f317(f317(f74(x66144),x66145),f317(f317(f75(x66144),x66143),x66141)),f317(f317(f74(x66144),x66146),f317(f317(f75(x66144),x66143),x66142)))
% 184.03/183.91 [7659]~P107(x76591)+~P5(x76591)+~P1(f317(f317(f225(x76591),x76592),f317(x76595,x76596)))+~P1(f317(f317(f319(x76593),x76596),x76594))+P1(f317(f317(f225(x76591),x76592),f317(f317(f35(x76593,x76591),x76594),x76595)))
% 184.03/183.91 [9983]~P24(x99832,x99831,x99833,x99834)+~P24(x99831,x99832,x99836,x99835)+P25(x99831,x99832,f811(x99833,x99834,x99835,x99836,x99832,x99831),x99835,x99834)+~P1(f317(f317(f224(f906(x99832,a895)),f317(f300(x99831,x99832,x99836),x99835)),x99834))+~P1(f317(f317(f224(f906(x99831,a895)),f317(f300(x99832,x99831,x99833),x99834)),x99835))
% 184.03/183.91 [8340]~P107(x83401)+~P5(x83401)+~P1(f317(f317(f225(x83401),f317(x83404,x83406)),x83405))+~P1(f317(f317(f319(x83402),x83406),x83403))+P1(f317(f317(f225(x83401),f317(f317(f34(x83402,x83401),x83403),x83404)),x83405))
% 184.03/183.91 [8595]~P19(x85952,x85955,x85956,x85951)+~P1(f317(f28(x85952),x85954))+~P1(f317(f28(x85952),x85953))+~E(f317(f317(f92(f906(x85952,a895)),x85953),x85954),f178(f906(x85952,a895)))+E(f317(x85951,f317(f317(f91(f906(x85952,a895)),x85953),x85954)),f317(f67(x85955,x85955,x85955,f317(x85951,x85953)),f317(x85951,x85954)))
% 184.03/183.91 [10194]~P74(x101941)+~E(f796(x101944,x101945,x101943,x101946,x101942,x101941),f797(x101944,x101945,x101943,x101946,x101942,x101941))+~P1(f317(f28(x101942),x101946))+E(f317(f317(f317(f59(x101941,x101942,f75(x101941)),f317(f317(f10(f906(x101943,a895),x101941,x101942),f317(f317(f59(x101941,x101943,f75(x101941)),x101944),f72(x101941))),x101945)),f72(x101941)),x101946),f317(f317(f317(f59(x101941,x101943,f75(x101941)),x101944),f72(x101941)),f317(f317(f35(x101942,f906(x101943,a895)),x101946),x101945)))+P1(f317(f317(f319(x101942),f795(x101944,x101945,x101943,x101946,x101942,x101941)),x101946))
% 184.03/183.91 [10224]~P74(x102241)+~E(f796(x102244,x102245,x102243,x102246,x102242,x102241),f797(x102244,x102245,x102243,x102246,x102242,x102241))+~P1(f317(f28(x102242),x102246))+E(f317(f317(f317(f59(x102241,x102242,f75(x102241)),f317(f317(f10(f906(x102243,a895),x102241,x102242),f317(f317(f59(x102241,x102243,f75(x102241)),x102244),f72(x102241))),x102245)),f72(x102241)),x102246),f317(f317(f317(f59(x102241,x102243,f75(x102241)),x102244),f72(x102241)),f317(f317(f35(x102242,f906(x102243,a895)),x102246),x102245)))+~P1(f317(f28(x102243),f317(x102245,f795(x102244,x102245,x102243,x102246,x102242,x102241))))
% 184.03/183.91 [10227]~P74(x102271)+~P1(f317(f28(x102272),x102276))+E(f317(f317(f317(f59(x102271,x102272,f75(x102271)),f317(f317(f10(f906(x102273,a895),x102271,x102272),f317(f317(f59(x102271,x102273,f75(x102271)),x102274),f72(x102271))),x102275)),f72(x102271)),x102276),f317(f317(f317(f59(x102271,x102273,f75(x102271)),x102274),f72(x102271)),f317(f317(f35(x102272,f906(x102273,a895)),x102276),x102275)))+P1(f317(f317(f319(x102272),f795(x102274,x102275,x102273,x102276,x102272,x102271)),x102276))+P1(f317(f317(f319(x102272),f797(x102274,x102275,x102273,x102276,x102272,x102271)),x102276))
% 184.03/183.91 [10228]~P74(x102281)+~P1(f317(f28(x102282),x102286))+E(f317(f317(f317(f59(x102281,x102282,f75(x102281)),f317(f317(f10(f906(x102283,a895),x102281,x102282),f317(f317(f59(x102281,x102283,f75(x102281)),x102284),f72(x102281))),x102285)),f72(x102281)),x102286),f317(f317(f317(f59(x102281,x102283,f75(x102281)),x102284),f72(x102281)),f317(f317(f35(x102282,f906(x102283,a895)),x102286),x102285)))+P1(f317(f317(f319(x102282),f795(x102284,x102285,x102283,x102286,x102282,x102281)),x102286))+P1(f317(f317(f319(x102282),f796(x102284,x102285,x102283,x102286,x102282,x102281)),x102286))
% 184.03/183.91 [10247]~P74(x102471)+~P1(f317(f28(x102472),x102476))+E(f317(f317(f317(f59(x102471,x102472,f75(x102471)),f317(f317(f10(f906(x102473,a895),x102471,x102472),f317(f317(f59(x102471,x102473,f75(x102471)),x102474),f72(x102471))),x102475)),f72(x102471)),x102476),f317(f317(f317(f59(x102471,x102473,f75(x102471)),x102474),f72(x102471)),f317(f317(f35(x102472,f906(x102473,a895)),x102476),x102475)))+P1(f317(f317(f319(x102472),f797(x102474,x102475,x102473,x102476,x102472,x102471)),x102476))+~P1(f317(f28(x102473),f317(x102475,f795(x102474,x102475,x102473,x102476,x102472,x102471))))
% 184.03/183.91 [10248]~P74(x102481)+~P1(f317(f28(x102482),x102486))+E(f317(f317(f317(f59(x102481,x102482,f75(x102481)),f317(f317(f10(f906(x102483,a895),x102481,x102482),f317(f317(f59(x102481,x102483,f75(x102481)),x102484),f72(x102481))),x102485)),f72(x102481)),x102486),f317(f317(f317(f59(x102481,x102483,f75(x102481)),x102484),f72(x102481)),f317(f317(f35(x102482,f906(x102483,a895)),x102486),x102485)))+P1(f317(f317(f319(x102482),f796(x102484,x102485,x102483,x102486,x102482,x102481)),x102486))+~P1(f317(f28(x102483),f317(x102485,f795(x102484,x102485,x102483,x102486,x102482,x102481))))
% 184.03/183.91 [10259]~P74(x102591)+~E(f317(f317(f92(f906(x102593,a895)),f317(x102595,f797(x102594,x102595,x102593,x102596,x102592,x102591))),f317(x102595,f796(x102594,x102595,x102593,x102596,x102592,x102591))),f178(f906(x102593,a895)))+~P1(f317(f28(x102592),x102596))+E(f317(f317(f317(f59(x102591,x102592,f75(x102591)),f317(f317(f10(f906(x102593,a895),x102591,x102592),f317(f317(f59(x102591,x102593,f75(x102591)),x102594),f72(x102591))),x102595)),f72(x102591)),x102596),f317(f317(f317(f59(x102591,x102593,f75(x102591)),x102594),f72(x102591)),f317(f317(f35(x102592,f906(x102593,a895)),x102596),x102595)))+P1(f317(f317(f319(x102592),f795(x102594,x102595,x102593,x102596,x102592,x102591)),x102596))
% 184.03/183.91 [10270]~P74(x102701)+~E(f317(f317(f92(f906(x102703,a895)),f317(x102705,f797(x102704,x102705,x102703,x102706,x102702,x102701))),f317(x102705,f796(x102704,x102705,x102703,x102706,x102702,x102701))),f178(f906(x102703,a895)))+~P1(f317(f28(x102702),x102706))+E(f317(f317(f317(f59(x102701,x102702,f75(x102701)),f317(f317(f10(f906(x102703,a895),x102701,x102702),f317(f317(f59(x102701,x102703,f75(x102701)),x102704),f72(x102701))),x102705)),f72(x102701)),x102706),f317(f317(f317(f59(x102701,x102703,f75(x102701)),x102704),f72(x102701)),f317(f317(f35(x102702,f906(x102703,a895)),x102706),x102705)))+~P1(f317(f28(x102703),f317(x102705,f795(x102704,x102705,x102703,x102706,x102702,x102701))))
% 184.03/183.91 [9322]~P123(x93221)+~P119(x93221)+~P1(f317(f317(f277(x93221),x93222),x93225))+~P1(f317(f317(f277(x93221),x93222),f317(f317(f74(x93221),x93223),x93226)))+P1(f317(f317(f277(x93221),x93222),f317(f317(f74(x93221),f317(f317(f3(x93221),x93223),f317(f317(f75(x93221),x93224),x93225))),x93226)))
% 184.03/183.91 [9517]~P123(x95171)+~P119(x95171)+~P1(f317(f317(f277(x95171),x95172),x95175))+P1(f317(f317(f277(x95171),x95172),f317(f317(f74(x95171),x95173),x95174)))+~P1(f317(f317(f277(x95171),x95172),f317(f317(f74(x95171),f317(f317(f3(x95171),x95173),f317(f317(f75(x95171),x95176),x95175))),x95174)))
% 184.03/183.91 [8929]E(x89291,x89292)+~P56(x89294,x89295,x89296,x89293,x89297)+~E(f317(x89293,x89291),f317(x89293,x89292))+~P1(f317(f317(f319(x89295),x89292),x89297))+~P1(f317(f317(f319(x89295),x89291),x89297))
% 184.03/183.91 [10235]~P1(f317(x102352,x102354))+~E(x102355,f317(f126(x102351,x102352),x102357))+E(f317(f126(x102351,x102352),x102353),f317(f317(f141(x102351),x102354),x102355))+~E(x102353,f317(f317(f124(x102351),x102356),f317(f317(f141(x102351),x102354),x102357)))+P1(f317(x102352,f729(x102355,x102354,x102353,x102352,x102351,x102356,x102357)))
% 184.03/183.91 [10236]~P1(f317(x102364,x102362))+~E(x102363,f317(f126(x102361,x102364),x102367))+E(f317(f317(f141(x102361),x102362),x102363),f317(f126(x102361,x102364),x102365))+~E(x102365,f317(f317(f124(x102361),x102366),f317(f317(f141(x102361),x102362),x102367)))+P1(f317(x102364,f730(x102365,x102364,x102363,x102362,x102361,x102366,x102367)))
% 184.03/183.91 [10286]~P1(f317(x102862,x102864))+~E(x102865,f317(f126(x102861,x102862),x102867))+E(f317(f126(x102861,x102862),x102863),f317(f317(f141(x102861),x102864),x102865))+~E(x102863,f317(f317(f124(x102861),x102866),f317(f317(f141(x102861),x102864),x102867)))+P1(f317(f317(f319(x102861),f729(x102865,x102864,x102863,x102862,x102861,x102866,x102867)),f317(f162(x102861),x102866)))
% 184.03/183.91 [10287]~P1(f317(x102874,x102872))+~E(x102873,f317(f126(x102871,x102874),x102877))+E(f317(f317(f141(x102871),x102872),x102873),f317(f126(x102871,x102874),x102875))+~E(x102875,f317(f317(f124(x102871),x102876),f317(f317(f141(x102871),x102872),x102877)))+P1(f317(f317(f319(x102871),f730(x102875,x102874,x102873,x102872,x102871,x102876,x102877)),f317(f162(x102871),x102876)))
% 184.03/183.91 [10291]~P8(x102911,x102917,x102916)+~P11(x102911,f906(x102915,a895),x102916,x102914)+P1(f317(f317(f319(x102911),f504(x102912,x102913,x102914,x102915,x102916,x102917,x102911)),x102917))+~P1(f317(f317(f319(f906(x102911,a895)),x102913),f317(f317(f55(x102911),x102917),x102916)))+P1(f317(f317(f319(f906(x102915,a895)),f317(f317(f35(x102911,f906(x102915,a895)),x102913),x102914)),x102912))
% 184.03/183.91 [10346]~P8(x103462,x103466,x103467)+~P11(x103462,f906(x103461,a895),x103467,x103464)+~P1(f317(f317(f319(f906(x103462,a895)),x103463),f317(f317(f55(x103462),x103466),x103467)))+~P1(f317(f317(f319(f906(x103461,a895)),f317(x103464,f504(x103465,x103463,x103464,x103461,x103467,x103466,x103462))),x103465))+P1(f317(f317(f319(f906(x103461,a895)),f317(f317(f35(x103462,f906(x103461,a895)),x103463),x103464)),x103465))
% 184.03/183.91 [8514]~P74(x85142)+~P24(x85141,x85145,x85148,x85144)+~E(x85143,f317(f67(x85145,x85142,x85141,x85146),x85148))+~E(x85147,f317(f300(x85141,x85145,x85148),x85144))+E(f317(f317(f11(x85141,x85142),x85143),x85144),f317(f317(f11(x85145,x85142),x85146),x85147))
% 184.03/183.91 [10350]~P74(x103502)+~P24(x103505,x103501,x103508,x103507)+~E(f317(x103506,f581(x103503,x103506,x103504,x103507,x103508,x103501,x103505,x103502)),f317(f317(f67(x103501,x103502,x103505,x103503),x103508),f581(x103503,x103506,x103504,x103507,x103508,x103501,x103505,x103502)))+~E(x103504,f317(f300(x103505,x103501,x103508),x103507))+E(f317(f317(f11(x103501,x103502),x103503),x103504),f317(f317(f11(x103505,x103502),x103506),x103507))
% 184.03/183.91 [10353]~P70(x103532)+~P24(x103531,x103535,x103538,x103534)+~E(x103537,f317(f300(x103531,x103535,x103538),x103534))+E(f317(f317(f8(x103531,x103532),x103533),x103534),f317(f317(f8(x103535,x103532),x103536),x103537))+P1(f317(f317(f319(x103531),f595(x103536,x103533,x103537,x103534,x103538,x103535,x103531,x103532)),x103534))
% 184.03/183.91 [10354]~P74(x103542)+~P24(x103541,x103545,x103548,x103544)+~E(x103547,f317(f300(x103541,x103545,x103548),x103544))+E(f317(f317(f11(x103541,x103542),x103543),x103544),f317(f317(f11(x103545,x103542),x103546),x103547))+P1(f317(f317(f319(x103541),f581(x103546,x103543,x103547,x103544,x103548,x103545,x103541,x103542)),x103544))
% 184.03/183.91 [10359]~P70(x103592)+~P24(x103595,x103591,x103598,x103597)+~E(x103594,f317(f300(x103595,x103591,x103598),x103597))+~E(f317(x103596,f595(x103593,x103596,x103594,x103597,x103598,x103591,x103595,x103592)),f317(x103593,f317(x103598,f595(x103593,x103596,x103594,x103597,x103598,x103591,x103595,x103592))))+E(f317(f317(f8(x103591,x103592),x103593),x103594),f317(f317(f8(x103595,x103592),x103596),x103597))
% 184.03/183.91 [9819]~P23(x98196,x98192,x98195,x98197,x98198,x98191)+~P1(f317(f28(x98192),x98194))+~P1(f317(f28(x98192),x98193))+~E(f317(f317(f92(f906(x98192,a895)),x98193),x98194),f178(f906(x98192,a895)))+E(f317(x98191,f317(f317(f91(f906(x98192,a895)),x98193),x98194)),f317(f317(x98195,f317(x98191,x98193)),f317(x98191,x98194)))
% 184.03/183.91 [10221]~P23(x102218,x102212,x102215,x102217,x102216,x102211)+~E(f317(x102216,f428(x102214,x102213,x102211,x102216,x102217,x102215,x102212)),x102217)+~P1(f317(f28(x102212),x102213))+~P1(f317(f28(x102212),x102214))+E(f317(x102211,f317(f317(f91(f906(x102212,a895)),x102213),x102214)),f317(f317(x102215,f317(x102211,x102213)),f317(x102211,x102214)))
% 184.03/183.91 [10298]~P23(x102988,x102982,x102985,x102987,x102986,x102981)+~P1(f317(f28(x102982),x102983))+~P1(f317(f28(x102982),x102984))+E(f317(x102981,f317(f317(f91(f906(x102982,a895)),x102983),x102984)),f317(f317(x102985,f317(x102981,x102983)),f317(x102981,x102984)))+P1(f317(f317(f319(x102982),f428(x102984,x102983,x102981,x102986,x102987,x102985,x102982)),f317(f317(f92(f906(x102982,a895)),x102983),x102984)))
% 184.03/183.91 [9974]~P8(x99744,x99748,x99745)+~P8(x99741,x99749,x99743)+~P12(x99741,x99744,f906(x99742,a895),x99743,x99745,x99747)+P11(x99741,f906(x99742,a895),x99743,f317(f317(f10(f906(x99744,f906(x99742,a895)),f906(x99742,a895),x99741),f317(f35(x99744,f906(x99742,a895)),f317(f275(x99744,x99744,x99745),f317(f317(f299(x99744),x99746),f178(f906(x99744,a895)))))),x99747))+~P1(f317(f317(f319(x99744),x99746),x99748))
% 184.03/183.91 [5493]~P107(x54933)+~P13(x54933,x54931)+E(x54931,f707(x54932,x54933))+~E(f317(f162(x54933),x54931),x54932)+~P1(f317(f28(x54933),x54932))+~P1(f317(f127(x54933),x54931))
% 184.03/183.91 [7363]P15(x73631,x73632)+~E(f317(x73632,f788(x73632)),f317(x73632,f790(x73632)))+~P1(f317(f317(x73632,f788(x73632)),f788(x73632)))+~P1(f317(f317(x73632,f788(x73632)),f790(x73632)))+~P1(f317(f317(x73632,f790(x73632)),f790(x73632)))+~P1(f317(f317(x73632,x73633),x73633))
% 184.03/183.91 [5119]~P132(x51192)+~P134(x51192)+~P144(x51192)+~P115(x51192)+E(x51191,f2(x51192))+~E(f317(f317(f234(x51192),x51191),x51193),f2(x51192))
% 184.03/183.91 [5120]~P132(x51202)+~P134(x51202)+~P144(x51202)+~P115(x51202)+~E(x51201,f2(a899))+~E(f317(f317(f234(x51202),x51203),x51201),f2(x51202))
% 184.03/183.91 [6596]~P87(x65961)+~E(x65963,f2(x65961))+~E(x65962,f2(x65961))+E(f317(f317(f74(x65961),x65962),x65963),f2(x65961))+~P1(f317(f317(f224(x65961),f2(x65961)),x65963))+~P1(f317(f317(f224(x65961),f2(x65961)),x65962))
% 184.03/183.91 [8997]~E(f317(f241(a899,a899),x89973),f2(a899))+~E(x89971,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x89973)),x89972)),f317(f246(a899,a899),x89973)))+P1(f317(f43(x89971,x89972),x89973))+~P1(f317(f317(f224(a899),f317(f246(a899,a899),x89973)),f2(a899)))+P1(f317(f317(f225(a899),f2(a899)),x89972))+~P1(f317(f317(f225(a899),x89972),f317(f246(a899,a899),x89973)))
% 184.03/183.91 [9005]E(x90051,f2(a899))+~E(x90052,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x90053)),x90051)),f317(f246(a899,a899),x90053)))+P1(f317(f43(x90052,x90051),x90053))+~P1(f317(f317(f225(a899),f2(a899)),x90051))+~P1(f317(f317(f224(a899),f2(a899)),f317(f246(a899,a899),x90053)))+~P1(f317(f317(f225(a899),f317(f246(a899,a899),x90053)),x90051))
% 184.03/183.91 [9023]~E(f317(f241(a899,a899),x90233),f2(a899))+~E(x90231,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x90233)),x90232)),f317(f246(a899,a899),x90233)))+P1(f317(f43(x90231,x90232),x90233))+~P1(f317(f317(f225(a899),f2(a899)),x90232))+~P1(f317(f317(f224(a899),f2(a899)),f317(f246(a899,a899),x90233)))+~P1(f317(f317(f225(a899),f317(f246(a899,a899),x90233)),x90232))
% 184.03/183.91 [6987]~P107(x69872)+E(x69871,f178(f906(x69872,a895)))+E(x69873,f178(f906(x69872,a895)))+~P1(f317(f28(x69872),x69871))+~P1(f317(f28(x69872),x69873))+E(f16(x69872,f317(f317(f91(f906(x69872,a895)),x69873),x69871)),f317(f317(f228(x69872),f16(x69872,x69873)),f16(x69872,x69871)))
% 184.03/183.91 [6988]~P107(x69882)+E(x69881,f178(f906(x69882,a895)))+E(x69883,f178(f906(x69882,a895)))+~P1(f317(f28(x69882),x69881))+~P1(f317(f28(x69882),x69883))+E(f17(x69882,f317(f317(f91(f906(x69882,a895)),x69883),x69881)),f317(f317(f223(x69882),f17(x69882,x69883)),f17(x69882,x69881)))
% 184.03/183.91 [6989]~P98(x69892)+E(x69891,f178(f906(x69892,a895)))+E(x69893,f178(f906(x69892,a895)))+~P1(f317(f28(x69892),x69891))+~P1(f317(f28(x69892),x69893))+E(f12(x69892,f317(f317(f91(f906(x69892,a895)),x69893),x69891)),f317(f317(f91(x69892),f12(x69892,x69893)),f12(x69892,x69891)))
% 184.03/183.91 [6990]~P98(x69902)+E(x69901,f178(f906(x69902,a895)))+E(x69903,f178(f906(x69902,a895)))+~P1(f317(f28(x69902),x69901))+~P1(f317(f28(x69902),x69903))+E(f13(x69902,f317(f317(f91(f906(x69902,a895)),x69903),x69901)),f317(f317(f92(x69902),f13(x69902,x69903)),f13(x69902,x69901)))
% 184.03/183.91 [7633]~P96(x76332)+E(x76331,f178(f906(x76332,a895)))+E(x76333,f178(f906(x76332,a895)))+~P1(f317(f28(x76332),x76331))+~P1(f317(f28(x76332),x76333))+E(f317(f317(f75(x76332),f317(f57(x76332,f75(x76332)),x76333)),f317(f57(x76332,f75(x76332)),x76331)),f317(f57(x76332,f75(x76332)),f317(f317(f91(f906(x76332,a895)),x76333),x76331)))
% 184.03/183.91 [7795]~P107(x77952)+E(x77951,f178(f906(x77952,a895)))+E(x77953,f178(f906(x77952,a895)))+~P1(f317(f28(x77952),x77951))+~P1(f317(f28(x77952),x77953))+E(f317(f317(f228(x77952),f14(x77952,f228(x77952),x77953)),f14(x77952,f228(x77952),x77951)),f14(x77952,f228(x77952),f317(f317(f91(f906(x77952,a895)),x77953),x77951)))
% 184.03/183.91 [7796]~P107(x77962)+E(x77961,f178(f906(x77962,a895)))+E(x77963,f178(f906(x77962,a895)))+~P1(f317(f28(x77962),x77961))+~P1(f317(f28(x77962),x77963))+E(f317(f317(f223(x77962),f15(x77962,f223(x77962),x77963)),f15(x77962,f223(x77962),x77961)),f15(x77962,f223(x77962),f317(f317(f91(f906(x77962,a895)),x77963),x77961)))
% 184.03/183.91 [8830]~P1(f317(x88301,x88303))+P1(f317(x88301,f370(x88301,x88302)))+P1(f317(x88301,f355(x88301,x88302)))+~P1(f317(f317(f225(a1),f2(a1)),x88302))+~P1(f317(f317(f319(a1),x88303),f293(a1,f72(a1),x88302)))+P1(f317(x88301,f317(f317(f3(a1),f355(x88301,x88302)),f317(f317(f75(a1),f368(x88301,x88302)),x88302))))
% 184.03/183.91 [9131]~P1(f317(x91311,x91313))+~P1(f317(x91311,f355(x91311,x91312)))+P1(f317(x91311,f370(x91311,x91312)))+~P1(f317(f317(f225(a1),f2(a1)),x91312))+~P1(f317(f317(f319(a1),x91313),f293(a1,f72(a1),x91312)))+~P1(f317(x91311,f317(f317(f3(a1),f355(x91311,x91312)),f317(f317(f75(a1),f368(x91311,x91312)),x91312))))
% 184.03/183.91 [10386]~P101(x103862)+E(x103861,f178(f906(x103862,a895)))+E(x103863,f178(f906(x103862,a895)))+~P1(f317(f28(x103862),x103861))+~P1(f317(f28(x103862),x103863))+E(f13(x103862,f317(f252(x103862),f317(f317(f10(f906(x103862,a895),a895,x103862),f81(x103862)),f317(f317(f10(f906(x103862,f906(x103862,a895)),f906(x103862,a895),x103862),f317(f10(f906(x103862,a895),a895,x103862),f81(x103862))),f317(f317(f9(x103862,f906(x103862,f906(x103862,a895)),f906(x103862,f906(x103862,a895))),f317(f317(f10(f906(x103862,f906(f906(x103862,a895),f906(x103862,a895))),f906(f906(x103862,f906(x103862,a895)),f906(x103862,f906(x103862,a895))),x103862),f20(x103862,f906(x103862,a895),f906(x103862,a895))),f317(f317(f10(f906(x103862,f906(x103862,f906(a895,a895))),f906(x103862,f906(f906(x103862,a895),f906(x103862,a895))),x103862),f317(f10(f906(x103862,f906(a895,a895)),f906(f906(x103862,a895),f906(x103862,a895)),x103862),f20(x103862,a895,a895))),f317(f317(f10(f906(x103862,f906(x103862,a895)),f906(x103862,f906(x103862,f906(a895,a895))),x103862),f317(f10(f906(x103862,a895),f906(x103862,f906(a895,a895)),x103862),f317(f10(a895,f906(a895,a895),x103862),a315))),f317(f317(f9(x103862,f906(x103862,f906(x103862,x103862)),f906(x103862,f906(x103862,a895))),f317(f317(f10(f906(f906(x103862,x103862),f906(x103862,a895)),f906(f906(x103862,f906(x103862,x103862)),f906(x103862,f906(x103862,a895))),x103862),f10(f906(x103862,x103862),f906(x103862,a895),x103862)),f317(f317(f10(f906(x103862,a895),f906(f906(x103862,x103862),f906(x103862,a895)),x103862),f10(x103862,a895,x103862)),a314))),f91(x103862)))))),f317(f317(f9(x103862,f906(x103862,a895),f906(x103862,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x103862,a895),f906(x103862,a895)),x103862),f10(a895,a895,x103862)),f317(f317(f10(a895,f906(a895,a895),x103862),a315),f317(f317(f9(x103862,f906(x103862,a895),a895),f319(x103862)),x103863)))),f317(f317(f9(x103862,f906(x103862,a895),a895),f319(x103862)),x103861))))))),f317(f317(f91(x103862),f13(x103862,x103863)),f13(x103862,x103861)))
% 184.03/183.91 [10387]~P101(x103872)+E(x103871,f178(f906(x103872,a895)))+E(x103873,f178(f906(x103872,a895)))+~P1(f317(f28(x103872),x103871))+~P1(f317(f28(x103872),x103873))+E(f12(x103872,f317(f252(x103872),f317(f317(f10(f906(x103872,a895),a895,x103872),f81(x103872)),f317(f317(f10(f906(x103872,f906(x103872,a895)),f906(x103872,a895),x103872),f317(f10(f906(x103872,a895),a895,x103872),f81(x103872))),f317(f317(f9(x103872,f906(x103872,f906(x103872,a895)),f906(x103872,f906(x103872,a895))),f317(f317(f10(f906(x103872,f906(f906(x103872,a895),f906(x103872,a895))),f906(f906(x103872,f906(x103872,a895)),f906(x103872,f906(x103872,a895))),x103872),f20(x103872,f906(x103872,a895),f906(x103872,a895))),f317(f317(f10(f906(x103872,f906(x103872,f906(a895,a895))),f906(x103872,f906(f906(x103872,a895),f906(x103872,a895))),x103872),f317(f10(f906(x103872,f906(a895,a895)),f906(f906(x103872,a895),f906(x103872,a895)),x103872),f20(x103872,a895,a895))),f317(f317(f10(f906(x103872,f906(x103872,a895)),f906(x103872,f906(x103872,f906(a895,a895))),x103872),f317(f10(f906(x103872,a895),f906(x103872,f906(a895,a895)),x103872),f317(f10(a895,f906(a895,a895),x103872),a315))),f317(f317(f9(x103872,f906(x103872,f906(x103872,x103872)),f906(x103872,f906(x103872,a895))),f317(f317(f10(f906(f906(x103872,x103872),f906(x103872,a895)),f906(f906(x103872,f906(x103872,x103872)),f906(x103872,f906(x103872,a895))),x103872),f10(f906(x103872,x103872),f906(x103872,a895),x103872)),f317(f317(f10(f906(x103872,a895),f906(f906(x103872,x103872),f906(x103872,a895)),x103872),f10(x103872,a895,x103872)),a314))),f92(x103872)))))),f317(f317(f9(x103872,f906(x103872,a895),f906(x103872,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x103872,a895),f906(x103872,a895)),x103872),f10(a895,a895,x103872)),f317(f317(f10(a895,f906(a895,a895),x103872),a315),f317(f317(f9(x103872,f906(x103872,a895),a895),f319(x103872)),x103873)))),f317(f317(f9(x103872,f906(x103872,a895),a895),f319(x103872)),x103871))))))),f317(f317(f92(x103872),f12(x103872,x103873)),f12(x103872,x103871)))
% 184.03/183.91 [10388]~P107(x103882)+E(x103881,f178(f906(x103882,a895)))+E(x103883,f178(f906(x103882,a895)))+~P1(f317(f28(x103882),x103881))+~P1(f317(f28(x103882),x103883))+E(f15(x103882,f223(x103882),f317(f252(x103882),f317(f317(f10(f906(x103882,a895),a895,x103882),f81(x103882)),f317(f317(f10(f906(x103882,f906(x103882,a895)),f906(x103882,a895),x103882),f317(f10(f906(x103882,a895),a895,x103882),f81(x103882))),f317(f317(f9(x103882,f906(x103882,f906(x103882,a895)),f906(x103882,f906(x103882,a895))),f317(f317(f10(f906(x103882,f906(f906(x103882,a895),f906(x103882,a895))),f906(f906(x103882,f906(x103882,a895)),f906(x103882,f906(x103882,a895))),x103882),f20(x103882,f906(x103882,a895),f906(x103882,a895))),f317(f317(f10(f906(x103882,f906(x103882,f906(a895,a895))),f906(x103882,f906(f906(x103882,a895),f906(x103882,a895))),x103882),f317(f10(f906(x103882,f906(a895,a895)),f906(f906(x103882,a895),f906(x103882,a895)),x103882),f20(x103882,a895,a895))),f317(f317(f10(f906(x103882,f906(x103882,a895)),f906(x103882,f906(x103882,f906(a895,a895))),x103882),f317(f10(f906(x103882,a895),f906(x103882,f906(a895,a895)),x103882),f317(f10(a895,f906(a895,a895),x103882),a315))),f317(f317(f9(x103882,f906(x103882,f906(x103882,x103882)),f906(x103882,f906(x103882,a895))),f317(f317(f10(f906(f906(x103882,x103882),f906(x103882,a895)),f906(f906(x103882,f906(x103882,x103882)),f906(x103882,f906(x103882,a895))),x103882),f10(f906(x103882,x103882),f906(x103882,a895),x103882)),f317(f317(f10(f906(x103882,a895),f906(f906(x103882,x103882),f906(x103882,a895)),x103882),f10(x103882,a895,x103882)),a314))),f228(x103882)))))),f317(f317(f9(x103882,f906(x103882,a895),f906(x103882,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x103882,a895),f906(x103882,a895)),x103882),f10(a895,a895,x103882)),f317(f317(f10(a895,f906(a895,a895),x103882),a315),f317(f317(f9(x103882,f906(x103882,a895),a895),f319(x103882)),x103883)))),f317(f317(f9(x103882,f906(x103882,a895),a895),f319(x103882)),x103881))))))),f317(f317(f228(x103882),f15(x103882,f223(x103882),x103883)),f15(x103882,f223(x103882),x103881)))
% 184.03/183.91 [10389]~P107(x103892)+E(x103891,f178(f906(x103892,a895)))+E(x103893,f178(f906(x103892,a895)))+~P1(f317(f28(x103892),x103891))+~P1(f317(f28(x103892),x103893))+E(f14(x103892,f228(x103892),f317(f252(x103892),f317(f317(f10(f906(x103892,a895),a895,x103892),f81(x103892)),f317(f317(f10(f906(x103892,f906(x103892,a895)),f906(x103892,a895),x103892),f317(f10(f906(x103892,a895),a895,x103892),f81(x103892))),f317(f317(f9(x103892,f906(x103892,f906(x103892,a895)),f906(x103892,f906(x103892,a895))),f317(f317(f10(f906(x103892,f906(f906(x103892,a895),f906(x103892,a895))),f906(f906(x103892,f906(x103892,a895)),f906(x103892,f906(x103892,a895))),x103892),f20(x103892,f906(x103892,a895),f906(x103892,a895))),f317(f317(f10(f906(x103892,f906(x103892,f906(a895,a895))),f906(x103892,f906(f906(x103892,a895),f906(x103892,a895))),x103892),f317(f10(f906(x103892,f906(a895,a895)),f906(f906(x103892,a895),f906(x103892,a895)),x103892),f20(x103892,a895,a895))),f317(f317(f10(f906(x103892,f906(x103892,a895)),f906(x103892,f906(x103892,f906(a895,a895))),x103892),f317(f10(f906(x103892,a895),f906(x103892,f906(a895,a895)),x103892),f317(f10(a895,f906(a895,a895),x103892),a315))),f317(f317(f9(x103892,f906(x103892,f906(x103892,x103892)),f906(x103892,f906(x103892,a895))),f317(f317(f10(f906(f906(x103892,x103892),f906(x103892,a895)),f906(f906(x103892,f906(x103892,x103892)),f906(x103892,f906(x103892,a895))),x103892),f10(f906(x103892,x103892),f906(x103892,a895),x103892)),f317(f317(f10(f906(x103892,a895),f906(f906(x103892,x103892),f906(x103892,a895)),x103892),f10(x103892,a895,x103892)),a314))),f223(x103892)))))),f317(f317(f9(x103892,f906(x103892,a895),f906(x103892,a895)),f317(f317(f10(f906(a895,a895),f906(f906(x103892,a895),f906(x103892,a895)),x103892),f10(a895,a895,x103892)),f317(f317(f10(a895,f906(a895,a895),x103892),a315),f317(f317(f9(x103892,f906(x103892,a895),a895),f319(x103892)),x103893)))),f317(f317(f9(x103892,f906(x103892,a895),a895),f319(x103892)),x103891))))))),f317(f317(f223(x103892),f14(x103892,f228(x103892),x103893)),f14(x103892,f228(x103892),x103891)))
% 184.03/183.91 [7319]~P112(x73193)+E(x73191,x73192)+~E(f317(f317(f234(x73193),x73191),x73194),f317(f317(f234(x73193),x73192),x73194))+~P1(f317(f317(f224(x73193),f2(x73193)),x73192))+~P1(f317(f317(f224(x73193),f2(x73193)),x73191))+~P1(f317(f317(f225(a899),f2(a899)),x73194))
% 184.03/183.91 [7592]~P107(x75922)+E(x75921,f178(f906(x75922,a895)))+~P1(f317(f28(x75922),x75921))+~P1(f317(f317(f319(x75922),x75924),x75921))+P1(f317(f317(f224(x75922),x75923),x75924))+~P1(f317(f317(f224(x75922),x75923),f317(f57(x75922,f228(x75922)),x75921)))
% 184.03/183.91 [7593]~P103(x75932)+E(x75931,f178(f906(x75932,a895)))+~P1(f317(f28(x75932),x75931))+~P1(f317(f317(f319(x75932),x75934),x75931))+P1(f317(f317(f224(x75932),x75933),x75934))+~P1(f317(f317(f224(x75932),x75933),f317(f57(x75932,f92(x75932)),x75931)))
% 184.03/183.91 [7594]~P107(x75942)+E(x75941,f178(f906(x75942,a895)))+~P1(f317(f28(x75942),x75941))+~P1(f317(f317(f319(x75942),x75944),x75941))+P1(f317(f317(f225(x75942),x75943),x75944))+~P1(f317(f317(f225(x75942),x75943),f317(f57(x75942,f228(x75942)),x75941)))
% 184.03/183.91 [7499]E(x74991,f2(a1))+E(f317(f317(f30(a1),x74992),x74991),x74993)+~P1(f317(f317(f224(a1),x74994),f2(a1)))+~E(x74992,f317(f317(f74(a1),f317(f317(f75(a1),x74991),x74993)),x74994))+P1(f317(f317(f225(a1),f2(a1)),x74991))+~P1(f317(f317(f225(a1),x74991),x74994))
% 184.03/183.91 [7516]E(f40(a1,x75162,x75161),x75163)+E(x75161,f2(a1))+~P1(f317(f317(f224(a1),x75163),f2(a1)))+~E(x75162,f317(f317(f74(a1),f317(f317(f75(a1),x75161),x75164)),x75163))+P1(f317(f317(f225(a1),f2(a1)),x75161))+~P1(f317(f317(f225(a1),x75161),x75163))
% 184.03/183.91 [7632]E(x76321,f2(a1))+E(f317(f317(f30(a1),x76322),x76321),x76323)+~E(x76322,f317(f317(f74(a1),f317(f317(f75(a1),x76321),x76323)),x76324))+~P1(f317(f317(f224(a1),f2(a1)),x76324))+~P1(f317(f317(f225(a1),f2(a1)),x76321))+~P1(f317(f317(f225(a1),x76324),x76321))
% 184.03/183.91 [7655]E(f40(a1,x76552,x76551),x76553)+E(x76551,f2(a1))+~E(x76552,f317(f317(f74(a1),f317(f317(f75(a1),x76551),x76554)),x76553))+~P1(f317(f317(f224(a1),f2(a1)),x76553))+~P1(f317(f317(f225(a1),f2(a1)),x76551))+~P1(f317(f317(f225(a1),x76553),x76551))
% 184.03/183.91 [7799]~P107(x77992)+E(x77991,f178(f906(x77992,a895)))+~P1(f317(f28(x77992),x77991))+~P1(f317(f317(f224(x77992),x77994),x77993))+~P1(f317(f317(f319(x77992),x77994),x77991))+P1(f317(f317(f224(x77992),f317(f57(x77992,f228(x77992)),x77991)),x77993))
% 184.03/183.91 [7800]~P107(x78002)+E(x78001,f178(f906(x78002,a895)))+~P1(f317(f28(x78002),x78001))+~P1(f317(f317(f225(x78002),x78004),x78003))+~P1(f317(f317(f319(x78002),x78004),x78001))+P1(f317(f317(f225(x78002),f317(f57(x78002,f228(x78002)),x78001)),x78003))
% 184.03/183.91 [8365]~P1(f317(f317(f224(a1),x83654),f2(a1)))+~E(x83651,f317(f317(f74(a1),f317(f317(f75(a1),x83652),x83653)),x83654))+~P1(f317(f317(f224(a1),f2(a1)),x83654))+~P1(f317(f317(f225(a1),x83654),x83652))+~P1(f317(f317(f225(a1),x83652),x83654))+P1(f317(f44(x83651,x83652),f317(f317(f242(a1,a1),x83653),x83654)))
% 184.03/183.91 [8534]~P109(x85341)+P1(f317(f317(f225(f906(x85341,a895)),f293(x85341,x85342,x85343)),f293(x85341,x85344,x85345)))+~P1(f317(f317(f224(x85341),x85344),x85342))+~P1(f317(f317(f224(x85341),x85344),x85345))+~P1(f317(f317(f224(x85341),x85343),x85345))+~P1(f317(f317(f225(x85341),x85343),x85345))
% 184.03/183.91 [8535]~P109(x85351)+P1(f317(f317(f225(f906(x85351,a895)),f293(x85351,x85352,x85353)),f293(x85351,x85354,x85355)))+~P1(f317(f317(f224(x85351),x85353),x85355))+~P1(f317(f317(f224(x85351),x85354),x85355))+~P1(f317(f317(f224(x85351),x85354),x85352))+~P1(f317(f317(f225(x85351),x85354),x85352))
% 184.03/183.91 [9396]P58(x93962,x93963,x93964,x93961)+E(x93961,f178(f906(x93962,a895)))+~P1(f317(f28(x93962),x93964))+~P1(f317(f28(x93962),x93961))+~P1(f317(f317(x93963,f516(x93961,x93964,x93963,x93962)),x93965))+~P1(f317(f317(f319(x93962),x93965),x93961))
% 184.03/183.91 [9397]P58(x93972,x93973,x93974,x93971)+E(x93971,f178(f906(x93972,a895)))+~P1(f317(f28(x93972),x93974))+~P1(f317(f28(x93972),x93971))+~P1(f317(f317(x93973,f779(x93973,x93971,x93974,x93972)),x93975))+~P1(f317(f317(f319(x93972),x93975),x93971))
% 184.03/183.91 [9398]P58(x93982,x93983,x93984,x93981)+E(x93981,f178(f906(x93982,a895)))+~P1(f317(f28(x93982),x93984))+~P1(f317(f28(x93982),x93981))+~P1(f317(f317(x93983,f780(x93981,x93984,x93983,x93982)),x93985))+~P1(f317(f317(f319(x93982),x93985),x93981))
% 184.03/183.91 [9546]~E(x95463,x95465)+~P70(x95461)+~P74(x95461)+~P39(x95463)+E(f317(f317(f8(a1,x95461),x95462),x95463),f317(f317(f8(a1,x95461),x95464),x95465))+P1(f317(f317(f224(a1),f2(a1)),f517(x95462,x95464,x95463,x95465,x95461)))
% 184.03/183.91 [9547]~E(x95473,x95475)+~P70(x95471)+~P74(x95471)+~P39(x95473)+E(f317(f317(f11(a1,x95471),x95472),x95473),f317(f317(f11(a1,x95471),x95474),x95475))+P1(f317(f317(f224(a1),f2(a1)),f472(x95472,x95474,x95473,x95475,x95471)))
% 184.03/183.91 [9729]~E(x97295,x97293)+~P70(x97291)+~P74(x97291)+~P39(x97295)+~E(f317(x97292,f517(x97294,x97292,x97295,x97293,x97291)),f317(x97294,f517(x97294,x97292,x97295,x97293,x97291)))+E(f317(f317(f8(a1,x97291),x97292),x97293),f317(f317(f8(a1,x97291),x97294),x97295))
% 184.03/183.91 [9730]~E(x97305,x97303)+~P70(x97301)+~P74(x97301)+~P39(x97305)+~E(f317(x97302,f472(x97304,x97302,x97305,x97303,x97301)),f317(x97304,f472(x97304,x97302,x97305,x97303,x97301)))+E(f317(f317(f11(a1,x97301),x97302),x97303),f317(f317(f11(a1,x97301),x97304),x97305))
% 184.03/183.91 [9817]~P78(x98173)+E(f317(x98171,x98172),f2(x98173))+~E(f317(f317(f8(x98174,x98173),x98171),x98175),f2(x98173))+~P1(f317(f28(x98174),x98175))+P1(f317(f317(f319(x98174),f463(x98172,x98171,x98175,x98174,x98173)),x98175))+~P1(f317(f317(f319(x98174),x98172),x98175))
% 184.03/183.91 [9945]~P78(x99453)+E(f317(x99451,x99452),f2(x99453))+~E(f317(f317(f8(x99454,x99453),x99451),x99455),f2(x99453))+~P1(f317(f28(x99454),x99455))+~P1(f317(f317(f319(x99454),x99452),x99455))+~P1(f317(f317(f224(x99453),f2(x99453)),f317(x99451,f463(x99452,x99451,x99455,x99454,x99453))))
% 184.03/183.91 [8450]~P137(x84501)+~P1(f317(f317(f224(x84501),x84503),x84505))+~P1(f317(f317(f224(x84501),x84502),x84504))+~P1(f317(f317(f224(x84501),f2(x84501)),x84503))+~P1(f317(f317(f224(x84501),f2(x84501)),x84504))+P1(f317(f317(f224(x84501),f317(f317(f75(x84501),x84502),x84503)),f317(f317(f75(x84501),x84504),x84505)))
% 184.03/183.91 [8451]~P137(x84511)+~P1(f317(f317(f224(x84511),x84513),x84515))+~P1(f317(f317(f224(x84511),x84512),x84514))+~P1(f317(f317(f224(x84511),f2(x84511)),x84513))+~P1(f317(f317(f224(x84511),f2(x84511)),x84512))+P1(f317(f317(f224(x84511),f317(f317(f75(x84511),x84512),x84513)),f317(f317(f75(x84511),x84514),x84515)))
% 184.03/183.91 [8452]~P64(x84521)+~P1(f317(f317(f225(x84521),f2(x84521)),x84525))+~P1(f317(f317(f224(x84521),x84525),x84523))+~P1(f317(f317(f224(x84521),x84522),x84524))+~P1(f317(f317(f224(x84521),f2(x84521)),x84522))+P1(f317(f317(f224(x84521),f317(f317(f281(x84521),x84522),x84523)),f317(f317(f281(x84521),x84524),x84525)))
% 184.03/183.91 [8453]~P133(x84531)+~P1(f317(f317(f224(x84531),x84533),x84535))+~P1(f317(f317(f224(x84531),f2(x84531)),x84532))+~P1(f317(f317(f225(x84531),x84532),x84534))+~P1(f317(f317(f225(x84531),f2(x84531)),x84533))+P1(f317(f317(f225(x84531),f317(f317(f75(x84531),x84532),x84533)),f317(f317(f75(x84531),x84534),x84535)))
% 184.03/183.91 [8454]~P133(x84541)+~P1(f317(f317(f224(x84541),x84542),x84544))+~P1(f317(f317(f224(x84541),f2(x84541)),x84543))+~P1(f317(f317(f225(x84541),x84543),x84545))+~P1(f317(f317(f225(x84541),f2(x84541)),x84542))+P1(f317(f317(f225(x84541),f317(f317(f75(x84541),x84542),x84543)),f317(f317(f75(x84541),x84544),x84545)))
% 184.03/183.91 [8455]~P133(x84551)+~P1(f317(f317(f224(x84551),f2(x84551)),x84553))+~P1(f317(f317(f224(x84551),f2(x84551)),x84552))+~P1(f317(f317(f225(x84551),x84553),x84555))+~P1(f317(f317(f225(x84551),x84552),x84554))+P1(f317(f317(f225(x84551),f317(f317(f75(x84551),x84552),x84553)),f317(f317(f75(x84551),x84554),x84555)))
% 184.03/183.91 [8456]~P133(x84561)+~P1(f317(f317(f224(x84561),f2(x84561)),x84563))+~P1(f317(f317(f225(x84561),x84563),x84565))+~P1(f317(f317(f225(x84561),x84562),x84564))+~P1(f317(f317(f225(x84561),f2(x84561)),x84564))+P1(f317(f317(f225(x84561),f317(f317(f75(x84561),x84562),x84563)),f317(f317(f75(x84561),x84564),x84565)))
% 184.03/183.91 [8457]~P64(x84571)+~P1(f317(f317(f224(x84571),x84575),x84573))+~P1(f317(f317(f224(x84571),f2(x84571)),x84572))+~P1(f317(f317(f225(x84571),x84572),x84574))+~P1(f317(f317(f225(x84571),f2(x84571)),x84575))+P1(f317(f317(f225(x84571),f317(f317(f281(x84571),x84572),x84573)),f317(f317(f281(x84571),x84574),x84575)))
% 184.03/183.91 [8458]~P64(x84581)+~P1(f317(f317(f224(x84581),x84582),x84584))+~P1(f317(f317(f225(x84581),x84585),x84583))+~P1(f317(f317(f225(x84581),f2(x84581)),x84585))+~P1(f317(f317(f225(x84581),f2(x84581)),x84582))+P1(f317(f317(f225(x84581),f317(f317(f281(x84581),x84582),x84583)),f317(f317(f281(x84581),x84584),x84585)))
% 184.03/183.91 [9860]~P70(x98605)+~P82(x98605)+E(x98601,f178(f906(x98602,a895)))+~P1(f317(f28(x98602),x98601))+P1(f317(f317(f319(x98602),f543(x98603,x98604,x98601,x98602,x98605)),x98601))+P1(f317(f317(f225(x98605),f317(f317(f8(x98602,x98605),x98604),x98601)),f317(f317(f8(x98602,x98605),x98603),x98601)))
% 184.03/183.91 [9970]~P70(x99701)+~P84(x99701)+~P1(f317(f28(x99702),x99705))+~P1(f317(f317(f224(x99701),f2(x99701)),f317(x99703,f813(x99703,x99704,x99705,x99702,x99701))))+P1(f317(f317(f224(x99701),f317(f317(f8(x99702,x99701),x99703),x99704)),f317(f317(f8(x99702,x99701),x99703),x99705)))+~P1(f317(f317(f224(f906(x99702,a895)),x99704),x99705))
% 184.03/183.91 [10139]~P70(x101393)+~P82(x101393)+E(x101391,f178(f906(x101392,a895)))+~P1(f317(f28(x101392),x101391))+~P1(f317(f317(f225(x101393),f317(x101394,f543(x101395,x101394,x101391,x101392,x101393))),f317(x101395,f543(x101395,x101394,x101391,x101392,x101393))))+P1(f317(f317(f225(x101393),f317(f317(f8(x101392,x101393),x101394),x101391)),f317(f317(f8(x101392,x101393),x101395),x101391)))
% 184.03/183.91 [7175]~P17(x71752,x71755,x71754)+E(x71751,f178(f906(x71752,a895)))+E(x71753,f178(f906(x71752,a895)))+~P1(f317(f28(x71752),x71751))+~P1(f317(f28(x71752),x71753))+E(f317(x71754,f317(f317(f91(f906(x71752,a895)),x71753),x71751)),f317(f317(x71755,f317(x71754,x71753)),f317(x71754,x71751)))
% 184.03/183.91 [7765]~P148(x77651,x77653,x77654)+P1(f317(x77651,x77652))+~P1(f317(f317(f225(a1),x77654),f2(a1)))+~P1(f317(f317(f224(a1),x77655),f2(a1)))+~E(x77653,f317(f317(f74(a1),f317(f317(f75(a1),x77654),x77652)),x77655))+~P1(f317(f317(f225(a1),x77654),x77655))
% 184.03/183.91 [7766]~P147(x77661,x77663,x77664)+P1(f317(x77661,x77662))+~P1(f317(f317(f225(a1),x77664),f2(a1)))+~P1(f317(f317(f224(a1),x77662),f2(a1)))+~E(x77663,f317(f317(f74(a1),f317(f317(f75(a1),x77664),x77665)),x77662))+~P1(f317(f317(f225(a1),x77664),x77662))
% 184.03/183.91 [7808]~P148(x78081,x78083,x78084)+P1(f317(x78081,x78082))+~E(x78083,f317(f317(f74(a1),f317(f317(f75(a1),x78084),x78082)),x78085))+~P1(f317(f317(f224(a1),f2(a1)),x78085))+~P1(f317(f317(f225(a1),f2(a1)),x78084))+~P1(f317(f317(f225(a1),x78085),x78084))
% 184.03/183.91 [7809]~P147(x78091,x78093,x78094)+P1(f317(x78091,x78092))+~E(x78093,f317(f317(f74(a1),f317(f317(f75(a1),x78094),x78095)),x78092))+~P1(f317(f317(f224(a1),f2(a1)),x78092))+~P1(f317(f317(f225(a1),f2(a1)),x78094))+~P1(f317(f317(f225(a1),x78092),x78094))
% 184.03/183.91 [8743]P1(f317(f317(x87431,x87432),x87433))+~P1(f317(f317(x87431,f317(f317(f30(a1),x87434),x87435)),f40(a1,x87434,x87435)))+~P1(f317(f317(f225(a1),x87435),f2(a1)))+~P1(f317(f317(f224(a1),x87433),f2(a1)))+~E(x87434,f317(f317(f74(a1),f317(f317(f75(a1),x87435),x87432)),x87433))+~P1(f317(f317(f225(a1),x87435),x87433))
% 184.03/183.91 [8752]P1(f317(f317(x87521,x87522),x87523))+~P1(f317(f317(x87521,f317(f317(f30(a1),x87524),x87525)),f40(a1,x87524,x87525)))+~E(x87524,f317(f317(f74(a1),f317(f317(f75(a1),x87525),x87522)),x87523))+~P1(f317(f317(f224(a1),f2(a1)),x87523))+~P1(f317(f317(f225(a1),f2(a1)),x87525))+~P1(f317(f317(f225(a1),x87523),x87525))
% 184.03/183.91 [9013]E(x90131,x90132)+~P55(x90133,x90135,x90134)+~P1(f317(f317(f319(x90133),x90132),x90135))+~P1(f317(f317(f319(x90133),x90131),x90135))+P1(f317(f317(f319(f905(x90133,x90133)),f317(f317(f242(x90133,x90133),x90131),x90132)),x90134))+P1(f317(f317(f319(f905(x90133,x90133)),f317(f317(f242(x90133,x90133),x90132),x90131)),x90134))
% 184.03/183.91 [9888]~P70(x98885)+~P84(x98885)+~P1(f317(f28(x98881),x98884))+P1(f317(f317(f224(x98885),f317(f317(f8(x98881,x98885),x98882),x98883)),f317(f317(f8(x98881,x98885),x98882),x98884)))+~P1(f317(f317(f224(f906(x98881,a895)),x98883),x98884))+P1(f317(f317(f319(x98881),f813(x98882,x98883,x98884,x98881,x98885)),f317(f317(f3(f906(x98881,a895)),x98884),x98883)))
% 184.03/183.91 [9978]E(x99781,f178(f906(x99782,a895)))+~P1(f317(f28(x99782),x99783))+~P1(f317(f28(x99782),x99781))+P1(f317(f317(f319(f905(f906(x99782,a895),f906(x99782,a895))),f317(f317(f242(f906(x99782,a895),f906(x99782,a895)),x99783),x99781)),f308(x99782,x99784)))+~P1(f317(f317(f319(x99782),x99785),x99781))+~P1(f317(f317(f319(f905(x99782,x99782)),f317(f317(f242(x99782,x99782),f522(x99784,x99781,x99783,x99782)),x99785)),x99784))
% 184.03/183.91 [9979]E(x99791,f178(f906(x99792,a895)))+~P1(f317(f28(x99792),x99793))+~P1(f317(f28(x99792),x99791))+P1(f317(f317(f319(f905(f906(x99792,a895),f906(x99792,a895))),f317(f317(f242(f906(x99792,a895),f906(x99792,a895)),x99793),x99791)),f308(x99792,x99794)))+~P1(f317(f317(f319(x99792),x99795),x99791))+~P1(f317(f317(f319(f905(x99792,x99792)),f317(f317(f242(x99792,x99792),f591(x99794,x99791,x99793,x99792)),x99795)),x99794))
% 184.03/183.91 [10143]~P78(x101431)+~E(f317(f317(f8(x101435,x101431),x101432),x101436),x101434)+~P1(f317(f28(x101435),x101436))+P1(f317(f317(f319(x101435),f464(x101433,x101434,x101432,x101436,x101435,x101431)),x101436))+P1(f317(f317(f224(x101431),f317(x101432,x101433)),x101434))+~P1(f317(f317(f319(x101435),x101433),x101436))
% 184.03/183.91 [10191]~P78(x101911)+~E(f317(f317(f8(x101915,x101911),x101912),x101916),x101914)+~P1(f317(f28(x101915),x101916))+~P1(f317(f317(f319(x101915),x101913),x101916))+~P1(f317(f317(f224(x101911),f2(x101911)),f317(x101912,f464(x101913,x101914,x101912,x101916,x101915,x101911))))+P1(f317(f317(f224(x101911),f317(x101912,x101913)),x101914))
% 184.03/183.91 [10333]~E(x103335,x103338)+~E(x103334,x103337)+~P108(x103331)+~P70(x103332)+E(f317(f317(f8(x103331,x103332),x103333),f317(f292(x103331,x103334),x103335)),f317(f317(f8(x103331,x103332),x103336),f317(f292(x103331,x103337),x103338)))+P1(f317(f317(f224(x103331),x103334),f442(x103333,x103336,x103335,x103338,x103334,x103337,x103331,x103332)))
% 184.03/183.91 [10349]~E(x103497,x103494)+~E(x103498,x103495)+~P108(x103491)+~P70(x103492)+~E(f317(x103493,f442(x103496,x103493,x103498,x103495,x103497,x103494,x103491,x103492)),f317(x103496,f442(x103496,x103493,x103498,x103495,x103497,x103494,x103491,x103492)))+E(f317(f317(f8(x103491,x103492),x103493),f317(f292(x103491,x103494),x103495)),f317(f317(f8(x103491,x103492),x103496),f317(f292(x103491,x103497),x103498)))
% 184.03/183.91 [10352]~E(x103524,x103527)+~E(x103525,x103528)+~P108(x103521)+~P70(x103522)+E(f317(f317(f8(x103521,x103522),x103523),f317(f292(x103521,x103524),x103525)),f317(f317(f8(x103521,x103522),x103526),f317(f292(x103521,x103527),x103528)))+P1(f317(f317(f225(x103521),f442(x103523,x103526,x103525,x103528,x103524,x103527,x103521,x103522)),x103525))
% 184.03/183.91 [9985]~P8(x99855,x99859,x99856)+~P8(x99851,x998510,x99853)+~P12(x99851,x99855,f906(x99852,a895),x99853,x99856,x99858)+~P1(f317(f317(f319(x99855),x99857),x99859))+~P1(f317(f317(f319(x99851),x99854),x998510))+E(f317(f317(f35(x99851,f906(x99852,a895)),f317(f275(x99851,x99851,x99853),f317(f317(f299(x99851),x99854),f178(f906(x99851,a895))))),f317(f317(f10(f906(x99855,f906(x99852,a895)),f906(x99852,a895),x99851),f317(f35(x99855,f906(x99852,a895)),f317(f275(x99855,x99855,x99856),f317(f317(f299(x99855),x99857),f178(f906(x99855,a895)))))),x99858)),f317(f317(x99858,x99854),x99857))
% 184.03/183.91 [5666]~P107(x56663)+~P13(x56663,x56662)+~P13(x56663,x56661)+E(x56661,x56662)+~E(f317(f162(x56663),x56661),f317(f162(x56663),x56662))+~P1(f317(f127(x56663),x56662))+~P1(f317(f127(x56663),x56661))
% 184.03/183.91 [4993]~P132(x49932)+~P134(x49932)+~P144(x49932)+~P115(x49932)+~E(x49933,f2(x49932))+E(x49931,f2(a899))+E(f317(f317(f234(x49932),x49933),x49931),f2(x49932))
% 184.03/183.91 [9268]E(x92681,f2(a899))+~E(x92682,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x92683)),x92681)),f317(f246(a899,a899),x92683)))+P1(f317(f43(x92682,x92681),x92683))+~P1(f317(f317(f224(a899),f317(f246(a899,a899),x92683)),f2(a899)))+~P1(f317(f317(f224(a899),f2(a899)),f317(f246(a899,a899),x92683)))+~P1(f317(f317(f225(a899),x92681),f317(f246(a899,a899),x92683)))+~P1(f317(f317(f225(a899),f317(f246(a899,a899),x92683)),x92681))
% 184.03/183.91 [9276]~E(f317(f241(a899,a899),x92763),f2(a899))+~E(x92761,f317(f317(f74(a899),f317(f317(f75(a899),f317(f241(a899,a899),x92763)),x92762)),f317(f246(a899,a899),x92763)))+P1(f317(f43(x92761,x92762),x92763))+~P1(f317(f317(f224(a899),f317(f246(a899,a899),x92763)),f2(a899)))+~P1(f317(f317(f224(a899),f2(a899)),f317(f246(a899,a899),x92763)))+~P1(f317(f317(f225(a899),x92762),f317(f246(a899,a899),x92763)))+~P1(f317(f317(f225(a899),f317(f246(a899,a899),x92763)),x92762))
% 184.03/183.91 [8119]~P68(x81192)+E(x81191,f178(f906(x81192,a895)))+E(x81193,f178(f906(x81192,a895)))+~P1(f317(f28(x81192),x81191))+~P1(f317(f28(x81192),x81193))+~E(f317(f317(f92(f906(x81192,a895)),x81193),x81191),f178(f906(x81192,a895)))+E(f317(f317(f75(x81192),f317(f57(x81192,f75(x81192)),x81193)),f317(f57(x81192,f75(x81192)),x81191)),f317(f57(x81192,f75(x81192)),f317(f317(f91(f906(x81192,a895)),x81193),x81191)))
% 184.03/183.91 [7904]E(x79041,f2(a1))+E(f317(f317(f30(a1),x79042),x79041),x79043)+~P1(f317(f317(f224(a1),x79044),f2(a1)))+~E(x79042,f317(f317(f74(a1),f317(f317(f75(a1),x79041),x79043)),x79044))+~P1(f317(f317(f224(a1),f2(a1)),x79044))+~P1(f317(f317(f225(a1),x79044),x79041))+~P1(f317(f317(f225(a1),x79041),x79044))
% 184.03/183.91 [7912]E(f40(a1,x79122,x79121),x79123)+E(x79121,f2(a1))+~P1(f317(f317(f224(a1),x79123),f2(a1)))+~E(x79122,f317(f317(f74(a1),f317(f317(f75(a1),x79121),x79124)),x79123))+~P1(f317(f317(f224(a1),f2(a1)),x79123))+~P1(f317(f317(f225(a1),x79123),x79121))+~P1(f317(f317(f225(a1),x79121),x79123))
% 184.03/183.91 [6954]~P3(x69542)+E(x69541,f2(x69542))+E(x69543,f2(x69542))+~E(f317(f317(f30(x69542),x69544),x69543),f317(f317(f30(x69542),x69545),x69541))+E(f317(f317(f75(x69542),x69544),x69541),f317(f317(f75(x69542),x69543),x69545))+~P1(f317(f317(f277(x69542),x69541),x69545))+~P1(f317(f317(f277(x69542),x69543),x69544))
% 184.03/183.91 [6955]~P3(x69552)+E(x69551,f2(x69552))+E(x69553,f2(x69552))+~E(f317(f317(f75(x69552),x69554),x69553),f317(f317(f75(x69552),x69551),x69555))+E(f317(f317(f30(x69552),x69554),x69551),f317(f317(f30(x69552),x69555),x69553))+~P1(f317(f317(f277(x69552),x69551),x69554))+~P1(f317(f317(f277(x69552),x69553),x69555))
% 184.03/183.91 [7818]~P18(x78182,x78185,x78184)+E(x78181,f178(f906(x78182,a895)))+E(x78183,f178(f906(x78182,a895)))+~P1(f317(f28(x78182),x78181))+~P1(f317(f28(x78182),x78183))+~E(f317(f317(f92(f906(x78182,a895)),x78183),x78181),f178(f906(x78182,a895)))+E(f317(x78184,f317(f317(f91(f906(x78182,a895)),x78183),x78181)),f317(f317(x78185,f317(x78184,x78183)),f317(x78184,x78181)))
% 184.03/183.91 [9519]~P24(x95193,x95191,x95195,x95194)+~P24(x95191,x95193,x95196,x95192)+E(f317(f29(x95191),x95192),f317(f29(x95193),x95194))+~P1(f317(f28(x95193),x95194))+~P1(f317(f28(x95191),x95192))+~P1(f317(f317(f224(f906(x95193,a895)),f317(f300(x95191,x95193,x95196),x95192)),x95194))+~P1(f317(f317(f224(f906(x95191,a895)),f317(f300(x95193,x95191,x95195),x95194)),x95192))
% 184.03/183.91 [9461]~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94615),x94611)),x94616)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94613),x94612)),x94614),f317(f317(f74(a1),f317(f317(f75(a1),x94615),x94611)),x94616))+~P1(f317(f317(f224(a1),f2(a1)),x94616))+~P1(f317(f317(f225(a1),f2(a1)),x94615))+~P1(f317(f317(f224(a1),x94615),x94613))+~P1(f317(f317(f225(a1),x94614),x94613))+P1(f317(f317(f224(a1),x94611),x94612))
% 184.03/183.91 [9219]~E(f317(f317(f74(a1),f317(f317(f75(a1),x92193),x92191)),x92194),f317(f317(f74(a1),f317(f317(f75(a1),x92195),x92192)),x92196))+~P1(f317(f317(f224(a1),f2(a1)),x92194))+~P1(f317(f317(f225(a1),f2(a1)),x92195))+~P1(f317(f317(f224(a1),x92195),x92193))+~P1(f317(f317(f225(a1),x92196),x92195))+P1(f317(f317(f224(a1),x92191),x92192))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92195),x92192)),x92196)))
% 184.03/183.91 [9401]~P131(x94011)+~E(f317(f317(f74(x94011),x94012),x94014),f72(x94011))+~P1(f317(f317(f224(x94011),x94015),x94016))+~P1(f317(f317(f224(x94011),x94013),x94016))+~P1(f317(f317(f224(x94011),f2(x94011)),x94014))+~P1(f317(f317(f224(x94011),f2(x94011)),x94012))+P1(f317(f317(f224(x94011),f317(f317(f74(x94011),f317(f317(f75(x94011),x94012),x94013)),f317(f317(f75(x94011),x94014),x94015))),x94016))
% 184.03/183.91 [9402]~P129(x94021)+~E(f317(f317(f74(x94021),x94022),x94024),f72(x94021))+~P1(f317(f317(f224(x94021),f2(x94021)),x94024))+~P1(f317(f317(f224(x94021),f2(x94021)),x94022))+~P1(f317(f317(f225(x94021),x94025),x94026))+~P1(f317(f317(f225(x94021),x94023),x94026))+P1(f317(f317(f225(x94021),f317(f317(f74(x94021),f317(f317(f75(x94021),x94022),x94023)),f317(f317(f75(x94021),x94024),x94025))),x94026))
% 184.03/183.91 [10238]~P8(x102387,x102386,x102385)+E(x102381,x102382)+~P11(x102387,f906(x102384,a895),x102385,x102383)+E(f317(x102383,f503(x102381,x102382,x102383,x102384,x102385,x102386,x102387)),f317(x102383,f500(x102381,x102382,x102383,x102384,x102385,x102386,x102387)))+~E(f317(f317(f35(x102387,f906(x102384,a895)),x102381),x102383),f317(f317(f35(x102387,f906(x102384,a895)),x102382),x102383))+~P1(f317(f317(f319(f906(x102387,a895)),x102382),f317(f317(f55(x102387),x102386),x102385)))+~P1(f317(f317(f319(f906(x102387,a895)),x102381),f317(f317(f55(x102387),x102386),x102385)))
% 184.03/183.91 [10289]~P8(x102893,x102897,x102896)+E(x102891,x102892)+~P11(x102893,f906(x102895,a895),x102896,x102894)+~E(f317(f317(f35(x102893,f906(x102895,a895)),x102891),x102894),f317(f317(f35(x102893,f906(x102895,a895)),x102892),x102894))+P1(f317(f317(f319(x102893),f500(x102891,x102892,x102894,x102895,x102896,x102897,x102893)),x102897))+~P1(f317(f317(f319(f906(x102893,a895)),x102892),f317(f317(f55(x102893),x102897),x102896)))+~P1(f317(f317(f319(f906(x102893,a895)),x102891),f317(f317(f55(x102893),x102897),x102896)))
% 184.03/183.91 [10290]~P8(x102903,x102907,x102906)+E(x102901,x102902)+~P11(x102903,f906(x102905,a895),x102906,x102904)+~E(f317(f317(f35(x102903,f906(x102905,a895)),x102901),x102904),f317(f317(f35(x102903,f906(x102905,a895)),x102902),x102904))+P1(f317(f317(f319(x102903),f503(x102901,x102902,x102904,x102905,x102906,x102907,x102903)),x102907))+~P1(f317(f317(f319(f906(x102903,a895)),x102902),f317(f317(f55(x102903),x102907),x102906)))+~P1(f317(f317(f319(f906(x102903,a895)),x102901),f317(f317(f55(x102903),x102907),x102906)))
% 184.03/183.91 [10368]E(x103681,x103682)+~P8(x103683,x103686,x103687)+~P11(x103683,f906(x103684,a895),x103687,x103685)+~E(f317(f317(f35(x103683,f906(x103684,a895)),x103681),x103685),f317(f317(f35(x103683,f906(x103684,a895)),x103682),x103685))+~P1(f317(f317(f319(f905(x103683,x103683)),f317(f317(f242(x103683,x103683),f500(x103681,x103682,x103685,x103684,x103687,x103686,x103683)),f503(x103681,x103682,x103685,x103684,x103687,x103686,x103683))),x103687))+~P1(f317(f317(f319(f906(x103683,a895)),x103682),f317(f317(f55(x103683),x103686),x103687)))+~P1(f317(f317(f319(f906(x103683,a895)),x103681),f317(f317(f55(x103683),x103686),x103687)))
% 184.03/183.91 [9218]~P8(x92181,x92187,x92184)+~E(x92185,x92186)+~P1(f317(f317(f319(x92181),x92183),x92186))+~P1(f317(f317(f319(x92181),x92182),x92185))+~P1(f317(f317(f319(f906(x92181,a895)),x92186),f317(f317(f55(x92181),x92187),x92184)))+~P1(f317(f317(f319(f906(x92181,a895)),x92185),f317(f317(f55(x92181),x92187),x92184)))+P1(f317(f317(f319(f905(x92181,x92181)),f317(f317(f242(x92181,x92181),x92182),x92183)),x92184))
% 184.03/183.91 [9357]E(x93571,x93572)+~P8(x93573,x93574,x93575)+~P1(f317(f317(f319(x93573),x93576),x93572))+~P1(f317(f317(f319(x93573),x93577),x93571))+~P1(f317(f317(f319(f906(x93573,a895)),x93572),f317(f317(f55(x93573),x93574),x93575)))+~P1(f317(f317(f319(f906(x93573,a895)),x93571),f317(f317(f55(x93573),x93574),x93575)))+~P1(f317(f317(f319(f905(x93573,x93573)),f317(f317(f242(x93573,x93573),x93577),x93576)),x93575))
% 184.03/183.91 [10395]~P8(x103959,x103958,x103957)+~P8(x103951,x1039511,x1039510)+~P12(x103951,x103959,f906(x103956,a895),x1039510,x103957,x103955)+P1(f317(f317(f319(x103951),f505(x103952,x103953,x103954,x103955,x103956,x103957,x103958,x103959,x1039510,x1039511,x103951)),x1039511))+~P1(f317(f317(f319(f906(x103959,a895)),x103953),f317(f317(f55(x103959),x103958),x103957)))+~P1(f317(f317(f319(f906(x103951,a895)),x103954),f317(f317(f55(x103951),x1039511),x1039510)))+P1(f317(f317(f319(f906(x103956,a895)),f317(f317(f35(x103951,f906(x103956,a895)),x103954),f317(f317(f10(f906(x103959,f906(x103956,a895)),f906(x103956,a895),x103951),f317(f35(x103959,f906(x103956,a895)),x103953)),x103955))),x103952))
% 184.03/183.91 [10396]~P8(x1039611,x1039610,x103969)+~P8(x103961,x103968,x103967)+~P12(x1039611,x103961,f906(x103966,a895),x103969,x103967,x103965)+P1(f317(f317(f319(x103961),f506(x103962,x103963,x103964,x103965,x103966,x103967,x103968,x103961,x103969,x1039610,x1039611)),x103968))+~P1(f317(f317(f319(f906(x1039611,a895)),x103964),f317(f317(f55(x1039611),x1039610),x103969)))+~P1(f317(f317(f319(f906(x103961,a895)),x103963),f317(f317(f55(x103961),x103968),x103967)))+P1(f317(f317(f319(f906(x103966,a895)),f317(f317(f35(x1039611,f906(x103966,a895)),x103964),f317(f317(f10(f906(x103961,f906(x103966,a895)),f906(x103966,a895),x1039611),f317(f35(x103961,f906(x103966,a895)),x103963)),x103965))),x103962))
% 184.03/183.91 [10397]~P8(x103972,x103978,x103979)+~P8(x103974,x1039710,x1039711)+~P12(x103972,x103974,f906(x103971,a895),x103979,x1039711,x103976)+~P1(f317(f317(f319(f906(x103972,a895)),x103973),f317(f317(f55(x103972),x103978),x103979)))+~P1(f317(f317(f319(f906(x103974,a895)),x103975),f317(f317(f55(x103974),x1039710),x1039711)))+~P1(f317(f317(f319(f906(x103971,a895)),f317(f317(x103976,f505(x103977,x103975,x103973,x103976,x103971,x1039711,x1039710,x103974,x103979,x103978,x103972)),f506(x103977,x103975,x103973,x103976,x103971,x1039711,x1039710,x103974,x103979,x103978,x103972))),x103977))+P1(f317(f317(f319(f906(x103971,a895)),f317(f317(f35(x103972,f906(x103971,a895)),x103973),f317(f317(f10(f906(x103974,f906(x103971,a895)),f906(x103971,a895),x103972),f317(f35(x103974,f906(x103971,a895)),x103975)),x103976))),x103977))
% 184.03/183.91 [9254]E(x92541,x92542)+~P107(x92544)+~P24(x92543,x92544,x92545,f317(f317(f91(f906(x92543,a895)),f317(f162(x92543),x92541)),f317(f162(x92543),x92542)))+~E(f317(f162(x92543),x92541),f317(f162(x92543),x92542))+~P13(x92544,f317(f317(f144(x92543,x92544),x92545),x92542))+~P13(x92544,f317(f317(f144(x92543,x92544),x92545),x92541))+~P1(f317(f127(x92544),f317(f317(f144(x92543,x92544),x92545),x92542)))+~P1(f317(f127(x92544),f317(f317(f144(x92543,x92544),x92545),x92541)))
% 184.03/183.91 %EqnAxiom
% 184.03/183.91 [1]E(x11,x11)
% 184.03/183.91 [2]E(x22,x21)+~E(x21,x22)
% 184.03/183.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 184.03/183.91 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 184.03/183.91 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 184.03/183.91 [6]~E(x61,x62)+E(f90(x61),f90(x62))
% 184.03/183.91 [7]~E(x71,x72)+E(f178(x71),f178(x72))
% 184.03/183.91 [8]~E(x81,x82)+E(f317(x81,x83),f317(x82,x83))
% 184.03/183.91 [9]~E(x91,x92)+E(f317(x93,x91),f317(x93,x92))
% 184.03/183.91 [10]~E(x101,x102)+E(f91(x101),f91(x102))
% 184.03/183.91 [11]~E(x111,x112)+E(f223(x111),f223(x112))
% 184.03/183.91 [12]~E(x121,x122)+E(f228(x121),f228(x122))
% 184.03/183.91 [13]~E(x131,x132)+E(f92(x131),f92(x132))
% 184.03/183.91 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 184.03/183.91 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 184.03/183.91 [16]~E(x161,x162)+E(f78(x161),f78(x162))
% 184.03/183.91 [17]~E(x171,x172)+E(f900(x171),f900(x172))
% 184.03/183.91 [18]~E(x181,x182)+E(f232(x181),f232(x182))
% 184.03/183.91 [19]~E(x191,x192)+E(f252(x191),f252(x192))
% 184.03/183.91 [20]~E(x201,x202)+E(f72(x201),f72(x202))
% 184.03/183.91 [21]~E(x211,x212)+E(f506(x211,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f506(x212,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112))
% 184.03/183.91 [22]~E(x221,x222)+E(f506(x223,x221,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f506(x223,x222,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 184.03/183.91 [23]~E(x231,x232)+E(f506(x233,x234,x231,x235,x236,x237,x238,x239,x2310,x2311,x2312),f506(x233,x234,x232,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 184.03/183.91 [24]~E(x241,x242)+E(f506(x243,x244,x245,x241,x246,x247,x248,x249,x2410,x2411,x2412),f506(x243,x244,x245,x242,x246,x247,x248,x249,x2410,x2411,x2412))
% 184.03/183.91 [25]~E(x251,x252)+E(f506(x253,x254,x255,x256,x251,x257,x258,x259,x2510,x2511,x2512),f506(x253,x254,x255,x256,x252,x257,x258,x259,x2510,x2511,x2512))
% 184.03/183.91 [26]~E(x261,x262)+E(f506(x263,x264,x265,x266,x267,x261,x268,x269,x2610,x2611,x2612),f506(x263,x264,x265,x266,x267,x262,x268,x269,x2610,x2611,x2612))
% 184.03/183.91 [27]~E(x271,x272)+E(f506(x273,x274,x275,x276,x277,x278,x271,x279,x2710,x2711,x2712),f506(x273,x274,x275,x276,x277,x278,x272,x279,x2710,x2711,x2712))
% 184.03/183.91 [28]~E(x281,x282)+E(f506(x283,x284,x285,x286,x287,x288,x289,x281,x2810,x2811,x2812),f506(x283,x284,x285,x286,x287,x288,x289,x282,x2810,x2811,x2812))
% 184.03/183.91 [29]~E(x291,x292)+E(f506(x293,x294,x295,x296,x297,x298,x299,x2910,x291,x2911,x2912),f506(x293,x294,x295,x296,x297,x298,x299,x2910,x292,x2911,x2912))
% 184.03/183.91 [30]~E(x301,x302)+E(f506(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x301,x3012),f506(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x302,x3012))
% 184.03/183.91 [31]~E(x311,x312)+E(f506(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x311),f506(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x312))
% 184.03/183.91 [32]~E(x321,x322)+E(f319(x321),f319(x322))
% 184.03/183.91 [33]~E(x331,x332)+E(f6(x331),f6(x332))
% 184.03/183.91 [34]~E(x341,x342)+E(f505(x341,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412),f505(x342,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412))
% 184.03/183.91 [35]~E(x351,x352)+E(f505(x353,x351,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f505(x353,x352,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 184.03/183.91 [36]~E(x361,x362)+E(f505(x363,x364,x361,x365,x366,x367,x368,x369,x3610,x3611,x3612),f505(x363,x364,x362,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 184.03/183.91 [37]~E(x371,x372)+E(f505(x373,x374,x375,x371,x376,x377,x378,x379,x3710,x3711,x3712),f505(x373,x374,x375,x372,x376,x377,x378,x379,x3710,x3711,x3712))
% 184.03/183.91 [38]~E(x381,x382)+E(f505(x383,x384,x385,x386,x381,x387,x388,x389,x3810,x3811,x3812),f505(x383,x384,x385,x386,x382,x387,x388,x389,x3810,x3811,x3812))
% 184.03/183.91 [39]~E(x391,x392)+E(f505(x393,x394,x395,x396,x397,x391,x398,x399,x3910,x3911,x3912),f505(x393,x394,x395,x396,x397,x392,x398,x399,x3910,x3911,x3912))
% 184.03/183.91 [40]~E(x401,x402)+E(f505(x403,x404,x405,x406,x407,x408,x401,x409,x4010,x4011,x4012),f505(x403,x404,x405,x406,x407,x408,x402,x409,x4010,x4011,x4012))
% 184.03/183.91 [41]~E(x411,x412)+E(f505(x413,x414,x415,x416,x417,x418,x419,x411,x4110,x4111,x4112),f505(x413,x414,x415,x416,x417,x418,x419,x412,x4110,x4111,x4112))
% 184.03/183.91 [42]~E(x421,x422)+E(f505(x423,x424,x425,x426,x427,x428,x429,x4210,x421,x4211,x4212),f505(x423,x424,x425,x426,x427,x428,x429,x4210,x422,x4211,x4212))
% 184.03/183.91 [43]~E(x431,x432)+E(f505(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x431,x4312),f505(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x432,x4312))
% 184.03/183.91 [44]~E(x441,x442)+E(f505(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x441),f505(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x442))
% 184.03/183.91 [45]~E(x451,x452)+E(f225(x451),f225(x452))
% 184.03/183.91 [46]~E(x461,x462)+E(f101(x461),f101(x462))
% 184.03/183.91 [47]~E(x471,x472)+E(f906(x471,x473),f906(x472,x473))
% 184.03/183.91 [48]~E(x481,x482)+E(f906(x483,x481),f906(x483,x482))
% 184.03/183.91 [49]~E(x491,x492)+E(f902(x491),f902(x492))
% 184.03/183.91 [50]~E(x501,x502)+E(f144(x501,x503),f144(x502,x503))
% 184.03/183.91 [51]~E(x511,x512)+E(f144(x513,x511),f144(x513,x512))
% 184.03/183.91 [52]~E(x521,x522)+E(f901(x521),f901(x522))
% 184.03/183.91 [53]~E(x531,x532)+E(f73(x531),f73(x532))
% 184.03/183.91 [54]~E(x541,x542)+E(f28(x541),f28(x542))
% 184.03/183.91 [55]~E(x551,x552)+E(f94(x551),f94(x552))
% 184.03/183.91 [56]~E(x561,x562)+E(f300(x561,x563,x564),f300(x562,x563,x564))
% 184.03/183.91 [57]~E(x571,x572)+E(f300(x573,x571,x574),f300(x573,x572,x574))
% 184.03/183.91 [58]~E(x581,x582)+E(f300(x583,x584,x581),f300(x583,x584,x582))
% 184.03/183.91 [59]~E(x591,x592)+E(f179(x591),f179(x592))
% 184.03/183.91 [60]~E(x601,x602)+E(f11(x601,x603),f11(x602,x603))
% 184.03/183.91 [61]~E(x611,x612)+E(f11(x613,x611),f11(x613,x612))
% 184.03/183.91 [62]~E(x621,x622)+E(f155(x621),f155(x622))
% 184.03/183.91 [63]~E(x631,x632)+E(f846(x631,x633,x634),f846(x632,x633,x634))
% 184.03/183.91 [64]~E(x641,x642)+E(f846(x643,x641,x644),f846(x643,x642,x644))
% 184.03/183.91 [65]~E(x651,x652)+E(f846(x653,x654,x651),f846(x653,x654,x652))
% 184.03/183.91 [66]~E(x661,x662)+E(f124(x661),f124(x662))
% 184.03/183.91 [67]~E(x671,x672)+E(f905(x671,x673),f905(x672,x673))
% 184.03/183.91 [68]~E(x681,x682)+E(f905(x683,x681),f905(x683,x682))
% 184.03/183.91 [69]~E(x691,x692)+E(f10(x691,x693,x694),f10(x692,x693,x694))
% 184.03/183.91 [70]~E(x701,x702)+E(f10(x703,x701,x704),f10(x703,x702,x704))
% 184.03/183.91 [71]~E(x711,x712)+E(f10(x713,x714,x711),f10(x713,x714,x712))
% 184.03/183.91 [72]~E(x721,x722)+E(f40(x721,x723,x724),f40(x722,x723,x724))
% 184.03/183.91 [73]~E(x731,x732)+E(f40(x733,x731,x734),f40(x733,x732,x734))
% 184.03/183.91 [74]~E(x741,x742)+E(f40(x743,x744,x741),f40(x743,x744,x742))
% 184.03/183.91 [75]~E(x751,x752)+E(f383(x751,x753,x754),f383(x752,x753,x754))
% 184.03/183.91 [76]~E(x761,x762)+E(f383(x763,x761,x764),f383(x763,x762,x764))
% 184.03/183.91 [77]~E(x771,x772)+E(f383(x773,x774,x771),f383(x773,x774,x772))
% 184.03/183.91 [78]~E(x781,x782)+E(f840(x781,x783,x784),f840(x782,x783,x784))
% 184.03/183.91 [79]~E(x791,x792)+E(f840(x793,x791,x794),f840(x793,x792,x794))
% 184.03/183.91 [80]~E(x801,x802)+E(f840(x803,x804,x801),f840(x803,x804,x802))
% 184.03/183.91 [81]~E(x811,x812)+E(f34(x811,x813),f34(x812,x813))
% 184.03/183.91 [82]~E(x821,x822)+E(f34(x823,x821),f34(x823,x822))
% 184.03/183.91 [83]~E(x831,x832)+E(f126(x831,x833),f126(x832,x833))
% 184.03/183.91 [84]~E(x841,x842)+E(f126(x843,x841),f126(x843,x842))
% 184.03/183.91 [85]~E(x851,x852)+E(f9(x851,x853,x854),f9(x852,x853,x854))
% 184.03/183.91 [86]~E(x861,x862)+E(f9(x863,x861,x864),f9(x863,x862,x864))
% 184.03/183.91 [87]~E(x871,x872)+E(f9(x873,x874,x871),f9(x873,x874,x872))
% 184.03/183.91 [88]~E(x881,x882)+E(f224(x881),f224(x882))
% 184.03/183.91 [89]~E(x891,x892)+E(f55(x891),f55(x892))
% 184.03/183.91 [90]~E(x901,x902)+E(f162(x901),f162(x902))
% 184.03/183.91 [91]~E(x911,x912)+E(f358(x911,x913,x914,x915),f358(x912,x913,x914,x915))
% 184.03/183.91 [92]~E(x921,x922)+E(f358(x923,x921,x924,x925),f358(x923,x922,x924,x925))
% 184.03/183.91 [93]~E(x931,x932)+E(f358(x933,x934,x931,x935),f358(x933,x934,x932,x935))
% 184.03/183.91 [94]~E(x941,x942)+E(f358(x943,x944,x945,x941),f358(x943,x944,x945,x942))
% 184.03/183.91 [95]~E(x951,x952)+E(f29(x951),f29(x952))
% 184.03/183.91 [96]~E(x961,x962)+E(f328(x961,x963,x964),f328(x962,x963,x964))
% 184.03/183.91 [97]~E(x971,x972)+E(f328(x973,x971,x974),f328(x973,x972,x974))
% 184.03/183.91 [98]~E(x981,x982)+E(f328(x983,x984,x981),f328(x983,x984,x982))
% 184.03/183.91 [99]~E(x991,x992)+E(f74(x991),f74(x992))
% 184.03/183.91 [100]~E(x1001,x1002)+E(f293(x1001,x1003,x1004),f293(x1002,x1003,x1004))
% 184.03/183.91 [101]~E(x1011,x1012)+E(f293(x1013,x1011,x1014),f293(x1013,x1012,x1014))
% 184.03/183.91 [102]~E(x1021,x1022)+E(f293(x1023,x1024,x1021),f293(x1023,x1024,x1022))
% 184.03/183.91 [103]~E(x1031,x1032)+E(f234(x1031),f234(x1032))
% 184.03/183.91 [104]~E(x1041,x1042)+E(f75(x1041),f75(x1042))
% 184.03/183.91 [105]~E(x1051,x1052)+E(f292(x1051,x1053),f292(x1052,x1053))
% 184.03/183.92 [106]~E(x1061,x1062)+E(f292(x1063,x1061),f292(x1063,x1062))
% 184.03/183.92 [107]~E(x1071,x1072)+E(f100(x1071),f100(x1072))
% 184.03/183.92 [108]~E(x1081,x1082)+E(f850(x1081,x1083,x1084),f850(x1082,x1083,x1084))
% 184.03/183.92 [109]~E(x1091,x1092)+E(f850(x1093,x1091,x1094),f850(x1093,x1092,x1094))
% 184.03/183.92 [110]~E(x1101,x1102)+E(f850(x1103,x1104,x1101),f850(x1103,x1104,x1102))
% 184.03/183.92 [111]~E(x1111,x1112)+E(f30(x1111),f30(x1112))
% 184.03/183.92 [112]~E(x1121,x1122)+E(f141(x1121),f141(x1122))
% 184.03/183.92 [113]~E(x1131,x1132)+E(f146(x1131,x1133,x1134,x1135),f146(x1132,x1133,x1134,x1135))
% 184.03/183.92 [114]~E(x1141,x1142)+E(f146(x1143,x1141,x1144,x1145),f146(x1143,x1142,x1144,x1145))
% 184.03/183.92 [115]~E(x1151,x1152)+E(f146(x1153,x1154,x1151,x1155),f146(x1153,x1154,x1152,x1155))
% 184.03/183.92 [116]~E(x1161,x1162)+E(f146(x1163,x1164,x1165,x1161),f146(x1163,x1164,x1165,x1162))
% 184.03/183.92 [117]~E(x1171,x1172)+E(f242(x1171,x1173),f242(x1172,x1173))
% 184.03/183.92 [118]~E(x1181,x1182)+E(f242(x1183,x1181),f242(x1183,x1182))
% 184.03/183.92 [119]~E(x1191,x1192)+E(f849(x1191,x1193,x1194),f849(x1192,x1193,x1194))
% 184.03/183.92 [120]~E(x1201,x1202)+E(f849(x1203,x1201,x1204),f849(x1203,x1202,x1204))
% 184.03/183.92 [121]~E(x1211,x1212)+E(f849(x1213,x1214,x1211),f849(x1213,x1214,x1212))
% 184.03/183.92 [122]~E(x1221,x1222)+E(f171(x1221,x1223),f171(x1222,x1223))
% 184.03/183.92 [123]~E(x1231,x1232)+E(f171(x1233,x1231),f171(x1233,x1232))
% 184.03/183.92 [124]~E(x1241,x1242)+E(f132(x1241,x1243,x1244,x1245),f132(x1242,x1243,x1244,x1245))
% 184.03/183.92 [125]~E(x1251,x1252)+E(f132(x1253,x1251,x1254,x1255),f132(x1253,x1252,x1254,x1255))
% 184.03/183.92 [126]~E(x1261,x1262)+E(f132(x1263,x1264,x1261,x1265),f132(x1263,x1264,x1262,x1265))
% 184.03/183.92 [127]~E(x1271,x1272)+E(f132(x1273,x1274,x1275,x1271),f132(x1273,x1274,x1275,x1272))
% 184.03/183.92 [128]~E(x1281,x1282)+E(f103(x1281),f103(x1282))
% 184.03/183.92 [129]~E(x1291,x1292)+E(f81(x1291),f81(x1292))
% 184.03/183.92 [130]~E(x1301,x1302)+E(f44(x1301,x1303),f44(x1302,x1303))
% 184.03/183.92 [131]~E(x1311,x1312)+E(f44(x1313,x1311),f44(x1313,x1312))
% 184.03/183.92 [132]~E(x1321,x1322)+E(f298(x1321),f298(x1322))
% 184.03/183.92 [133]~E(x1331,x1332)+E(f129(x1331,x1333),f129(x1332,x1333))
% 184.03/183.92 [134]~E(x1341,x1342)+E(f129(x1343,x1341),f129(x1343,x1342))
% 184.03/183.92 [135]~E(x1351,x1352)+E(f96(x1351),f96(x1352))
% 184.03/183.92 [136]~E(x1361,x1362)+E(f98(x1361),f98(x1362))
% 184.03/183.92 [137]~E(x1371,x1372)+E(f318(x1371),f318(x1372))
% 184.03/183.92 [138]~E(x1381,x1382)+E(f58(x1381,x1383,x1384),f58(x1382,x1383,x1384))
% 184.03/183.92 [139]~E(x1391,x1392)+E(f58(x1393,x1391,x1394),f58(x1393,x1392,x1394))
% 184.03/183.92 [140]~E(x1401,x1402)+E(f58(x1403,x1404,x1401),f58(x1403,x1404,x1402))
% 184.03/183.92 [141]~E(x1411,x1412)+E(f563(x1411),f563(x1412))
% 184.03/183.92 [142]~E(x1421,x1422)+E(f20(x1421,x1423,x1424),f20(x1422,x1423,x1424))
% 184.03/183.92 [143]~E(x1431,x1432)+E(f20(x1433,x1431,x1434),f20(x1433,x1432,x1434))
% 184.03/183.92 [144]~E(x1441,x1442)+E(f20(x1443,x1444,x1441),f20(x1443,x1444,x1442))
% 184.03/183.92 [145]~E(x1451,x1452)+E(f13(x1451,x1453),f13(x1452,x1453))
% 184.03/183.92 [146]~E(x1461,x1462)+E(f13(x1463,x1461),f13(x1463,x1462))
% 184.03/183.92 [147]~E(x1471,x1472)+E(f231(x1471,x1473),f231(x1472,x1473))
% 184.03/183.92 [148]~E(x1481,x1482)+E(f231(x1483,x1481),f231(x1483,x1482))
% 184.03/183.92 [149]~E(x1491,x1492)+E(f86(x1491),f86(x1492))
% 184.03/183.92 [150]~E(x1501,x1502)+E(f168(x1501,x1503),f168(x1502,x1503))
% 184.03/183.92 [151]~E(x1511,x1512)+E(f168(x1513,x1511),f168(x1513,x1512))
% 184.03/183.92 [152]~E(x1521,x1522)+E(f281(x1521),f281(x1522))
% 184.03/183.92 [153]~E(x1531,x1532)+E(f728(x1531,x1533,x1534,x1535,x1536),f728(x1532,x1533,x1534,x1535,x1536))
% 184.03/183.92 [154]~E(x1541,x1542)+E(f728(x1543,x1541,x1544,x1545,x1546),f728(x1543,x1542,x1544,x1545,x1546))
% 184.03/183.92 [155]~E(x1551,x1552)+E(f728(x1553,x1554,x1551,x1555,x1556),f728(x1553,x1554,x1552,x1555,x1556))
% 184.03/183.92 [156]~E(x1561,x1562)+E(f728(x1563,x1564,x1565,x1561,x1566),f728(x1563,x1564,x1565,x1562,x1566))
% 184.03/183.92 [157]~E(x1571,x1572)+E(f728(x1573,x1574,x1575,x1576,x1571),f728(x1573,x1574,x1575,x1576,x1572))
% 184.03/183.92 [158]~E(x1581,x1582)+E(f7(x1581),f7(x1582))
% 184.03/183.92 [159]~E(x1591,x1592)+E(f851(x1591,x1593,x1594),f851(x1592,x1593,x1594))
% 184.03/183.92 [160]~E(x1601,x1602)+E(f851(x1603,x1601,x1604),f851(x1603,x1602,x1604))
% 184.03/183.92 [161]~E(x1611,x1612)+E(f851(x1613,x1614,x1611),f851(x1613,x1614,x1612))
% 184.03/183.92 [162]~E(x1621,x1622)+E(f277(x1621),f277(x1622))
% 184.03/183.92 [163]~E(x1631,x1632)+E(f492(x1631),f492(x1632))
% 184.03/183.92 [164]~E(x1641,x1642)+E(f351(x1641,x1643),f351(x1642,x1643))
% 184.03/183.92 [165]~E(x1651,x1652)+E(f351(x1653,x1651),f351(x1653,x1652))
% 184.03/183.92 [166]~E(x1661,x1662)+E(f70(x1661),f70(x1662))
% 184.03/183.92 [167]~E(x1671,x1672)+E(f299(x1671),f299(x1672))
% 184.03/183.92 [168]~E(x1681,x1682)+E(f169(x1681,x1683),f169(x1682,x1683))
% 184.03/183.92 [169]~E(x1691,x1692)+E(f169(x1693,x1691),f169(x1693,x1692))
% 184.03/183.92 [170]~E(x1701,x1702)+E(f848(x1701,x1703,x1704),f848(x1702,x1703,x1704))
% 184.03/183.92 [171]~E(x1711,x1712)+E(f848(x1713,x1711,x1714),f848(x1713,x1712,x1714))
% 184.03/183.92 [172]~E(x1721,x1722)+E(f848(x1723,x1724,x1721),f848(x1723,x1724,x1722))
% 184.03/183.92 [173]~E(x1731,x1732)+E(f35(x1731,x1733),f35(x1732,x1733))
% 184.03/183.92 [174]~E(x1741,x1742)+E(f35(x1743,x1741),f35(x1743,x1742))
% 184.03/183.92 [175]~E(x1751,x1752)+E(f503(x1751,x1753,x1754,x1755,x1756,x1757,x1758),f503(x1752,x1753,x1754,x1755,x1756,x1757,x1758))
% 184.03/183.92 [176]~E(x1761,x1762)+E(f503(x1763,x1761,x1764,x1765,x1766,x1767,x1768),f503(x1763,x1762,x1764,x1765,x1766,x1767,x1768))
% 184.03/183.92 [177]~E(x1771,x1772)+E(f503(x1773,x1774,x1771,x1775,x1776,x1777,x1778),f503(x1773,x1774,x1772,x1775,x1776,x1777,x1778))
% 184.03/183.92 [178]~E(x1781,x1782)+E(f503(x1783,x1784,x1785,x1781,x1786,x1787,x1788),f503(x1783,x1784,x1785,x1782,x1786,x1787,x1788))
% 184.03/183.92 [179]~E(x1791,x1792)+E(f503(x1793,x1794,x1795,x1796,x1791,x1797,x1798),f503(x1793,x1794,x1795,x1796,x1792,x1797,x1798))
% 184.03/183.92 [180]~E(x1801,x1802)+E(f503(x1803,x1804,x1805,x1806,x1807,x1801,x1808),f503(x1803,x1804,x1805,x1806,x1807,x1802,x1808))
% 184.03/183.92 [181]~E(x1811,x1812)+E(f503(x1813,x1814,x1815,x1816,x1817,x1818,x1811),f503(x1813,x1814,x1815,x1816,x1817,x1818,x1812))
% 184.03/183.92 [182]~E(x1821,x1822)+E(f31(x1821,x1823),f31(x1822,x1823))
% 184.03/183.92 [183]~E(x1831,x1832)+E(f31(x1833,x1831),f31(x1833,x1832))
% 184.03/183.92 [184]~E(x1841,x1842)+E(f534(x1841,x1843,x1844,x1845,x1846,x1847),f534(x1842,x1843,x1844,x1845,x1846,x1847))
% 184.03/183.92 [185]~E(x1851,x1852)+E(f534(x1853,x1851,x1854,x1855,x1856,x1857),f534(x1853,x1852,x1854,x1855,x1856,x1857))
% 184.03/183.92 [186]~E(x1861,x1862)+E(f534(x1863,x1864,x1861,x1865,x1866,x1867),f534(x1863,x1864,x1862,x1865,x1866,x1867))
% 184.03/183.92 [187]~E(x1871,x1872)+E(f534(x1873,x1874,x1875,x1871,x1876,x1877),f534(x1873,x1874,x1875,x1872,x1876,x1877))
% 184.05/183.92 [188]~E(x1881,x1882)+E(f534(x1883,x1884,x1885,x1886,x1881,x1887),f534(x1883,x1884,x1885,x1886,x1882,x1887))
% 184.05/183.92 [189]~E(x1891,x1892)+E(f534(x1893,x1894,x1895,x1896,x1897,x1891),f534(x1893,x1894,x1895,x1896,x1897,x1892))
% 184.05/183.92 [190]~E(x1901,x1902)+E(f17(x1901,x1903),f17(x1902,x1903))
% 184.05/183.92 [191]~E(x1911,x1912)+E(f17(x1913,x1911),f17(x1913,x1912))
% 184.05/183.92 [192]~E(x1921,x1922)+E(f247(x1921,x1923,x1924),f247(x1922,x1923,x1924))
% 184.05/183.92 [193]~E(x1931,x1932)+E(f247(x1933,x1931,x1934),f247(x1933,x1932,x1934))
% 184.05/183.92 [194]~E(x1941,x1942)+E(f247(x1943,x1944,x1941),f247(x1943,x1944,x1942))
% 184.05/183.92 [195]~E(x1951,x1952)+E(f59(x1951,x1953,x1954),f59(x1952,x1953,x1954))
% 184.05/183.92 [196]~E(x1961,x1962)+E(f59(x1963,x1961,x1964),f59(x1963,x1962,x1964))
% 184.05/183.92 [197]~E(x1971,x1972)+E(f59(x1973,x1974,x1971),f59(x1973,x1974,x1972))
% 184.05/183.92 [198]~E(x1981,x1982)+E(f248(x1981,x1983,x1984,x1985,x1986,x1987),f248(x1982,x1983,x1984,x1985,x1986,x1987))
% 184.05/183.92 [199]~E(x1991,x1992)+E(f248(x1993,x1991,x1994,x1995,x1996,x1997),f248(x1993,x1992,x1994,x1995,x1996,x1997))
% 184.05/183.92 [200]~E(x2001,x2002)+E(f248(x2003,x2004,x2001,x2005,x2006,x2007),f248(x2003,x2004,x2002,x2005,x2006,x2007))
% 184.05/183.92 [201]~E(x2011,x2012)+E(f248(x2013,x2014,x2015,x2011,x2016,x2017),f248(x2013,x2014,x2015,x2012,x2016,x2017))
% 184.05/183.92 [202]~E(x2021,x2022)+E(f248(x2023,x2024,x2025,x2026,x2021,x2027),f248(x2023,x2024,x2025,x2026,x2022,x2027))
% 184.05/183.92 [203]~E(x2031,x2032)+E(f248(x2033,x2034,x2035,x2036,x2037,x2031),f248(x2033,x2034,x2035,x2036,x2037,x2032))
% 184.05/183.92 [204]~E(x2041,x2042)+E(f753(x2041,x2043,x2044),f753(x2042,x2043,x2044))
% 184.05/183.92 [205]~E(x2051,x2052)+E(f753(x2053,x2051,x2054),f753(x2053,x2052,x2054))
% 184.05/183.92 [206]~E(x2061,x2062)+E(f753(x2063,x2064,x2061),f753(x2063,x2064,x2062))
% 184.05/183.92 [207]~E(x2071,x2072)+E(f104(x2071,x2073),f104(x2072,x2073))
% 184.05/183.92 [208]~E(x2081,x2082)+E(f104(x2083,x2081),f104(x2083,x2082))
% 184.05/183.92 [209]~E(x2091,x2092)+E(f279(x2091,x2093,x2094),f279(x2092,x2093,x2094))
% 184.05/183.92 [210]~E(x2101,x2102)+E(f279(x2103,x2101,x2104),f279(x2103,x2102,x2104))
% 184.05/183.92 [211]~E(x2111,x2112)+E(f279(x2113,x2114,x2111),f279(x2113,x2114,x2112))
% 184.05/183.92 [212]~E(x2121,x2122)+E(f147(x2121,x2123),f147(x2122,x2123))
% 184.05/183.92 [213]~E(x2131,x2132)+E(f147(x2133,x2131),f147(x2133,x2132))
% 184.05/183.92 [214]~E(x2141,x2142)+E(f184(x2141,x2143),f184(x2142,x2143))
% 184.05/183.92 [215]~E(x2151,x2152)+E(f184(x2153,x2151),f184(x2153,x2152))
% 184.05/183.92 [216]~E(x2161,x2162)+E(f8(x2161,x2163),f8(x2162,x2163))
% 184.05/183.92 [217]~E(x2171,x2172)+E(f8(x2173,x2171),f8(x2173,x2172))
% 184.05/183.92 [218]~E(x2181,x2182)+E(f138(x2181,x2183,x2184),f138(x2182,x2183,x2184))
% 184.05/183.92 [219]~E(x2191,x2192)+E(f138(x2193,x2191,x2194),f138(x2193,x2192,x2194))
% 184.05/183.92 [220]~E(x2201,x2202)+E(f138(x2203,x2204,x2201),f138(x2203,x2204,x2202))
% 184.05/183.92 [221]~E(x2211,x2212)+E(f246(x2211,x2213),f246(x2212,x2213))
% 184.05/183.92 [222]~E(x2221,x2222)+E(f246(x2223,x2221),f246(x2223,x2222))
% 184.05/183.92 [223]~E(x2231,x2232)+E(f283(x2231,x2233),f283(x2232,x2233))
% 184.05/183.92 [224]~E(x2241,x2242)+E(f283(x2243,x2241),f283(x2243,x2242))
% 184.05/183.92 [225]~E(x2251,x2252)+E(f79(x2251,x2253),f79(x2252,x2253))
% 184.05/183.92 [226]~E(x2261,x2262)+E(f79(x2263,x2261),f79(x2263,x2262))
% 184.05/183.92 [227]~E(x2271,x2272)+E(f173(x2271,x2273),f173(x2272,x2273))
% 184.05/183.92 [228]~E(x2281,x2282)+E(f173(x2283,x2281),f173(x2283,x2282))
% 184.05/183.92 [229]~E(x2291,x2292)+E(f363(x2291,x2293,x2294,x2295),f363(x2292,x2293,x2294,x2295))
% 184.05/183.92 [230]~E(x2301,x2302)+E(f363(x2303,x2301,x2304,x2305),f363(x2303,x2302,x2304,x2305))
% 184.05/183.92 [231]~E(x2311,x2312)+E(f363(x2313,x2314,x2311,x2315),f363(x2313,x2314,x2312,x2315))
% 184.05/183.92 [232]~E(x2321,x2322)+E(f363(x2323,x2324,x2325,x2321),f363(x2323,x2324,x2325,x2322))
% 184.05/183.92 [233]~E(x2331,x2332)+E(f16(x2331,x2333),f16(x2332,x2333))
% 184.05/183.92 [234]~E(x2341,x2342)+E(f16(x2343,x2341),f16(x2343,x2342))
% 184.05/183.92 [235]~E(x2351,x2352)+E(f67(x2351,x2353,x2354,x2355),f67(x2352,x2353,x2354,x2355))
% 184.05/183.92 [236]~E(x2361,x2362)+E(f67(x2363,x2361,x2364,x2365),f67(x2363,x2362,x2364,x2365))
% 184.05/183.92 [237]~E(x2371,x2372)+E(f67(x2373,x2374,x2371,x2375),f67(x2373,x2374,x2372,x2375))
% 184.05/183.92 [238]~E(x2381,x2382)+E(f67(x2383,x2384,x2385,x2381),f67(x2383,x2384,x2385,x2382))
% 184.05/183.92 [239]~E(x2391,x2392)+E(f119(x2391),f119(x2392))
% 184.05/183.92 [240]~E(x2401,x2402)+E(f782(x2401,x2403,x2404),f782(x2402,x2403,x2404))
% 184.05/183.92 [241]~E(x2411,x2412)+E(f782(x2413,x2411,x2414),f782(x2413,x2412,x2414))
% 184.05/183.92 [242]~E(x2421,x2422)+E(f782(x2423,x2424,x2421),f782(x2423,x2424,x2422))
% 184.05/183.92 [243]~E(x2431,x2432)+E(f151(x2431,x2433),f151(x2432,x2433))
% 184.05/183.92 [244]~E(x2441,x2442)+E(f151(x2443,x2441),f151(x2443,x2442))
% 184.05/183.92 [245]~E(x2451,x2452)+E(f790(x2451),f790(x2452))
% 184.05/183.92 [246]~E(x2461,x2462)+E(f254(x2461,x2463),f254(x2462,x2463))
% 184.05/183.92 [247]~E(x2471,x2472)+E(f254(x2473,x2471),f254(x2473,x2472))
% 184.05/183.92 [248]~E(x2481,x2482)+E(f322(x2481),f322(x2482))
% 184.05/183.92 [249]~E(x2491,x2492)+E(f842(x2491,x2493,x2494),f842(x2492,x2493,x2494))
% 184.05/183.92 [250]~E(x2501,x2502)+E(f842(x2503,x2501,x2504),f842(x2503,x2502,x2504))
% 184.05/183.92 [251]~E(x2511,x2512)+E(f842(x2513,x2514,x2511),f842(x2513,x2514,x2512))
% 184.05/183.92 [252]~E(x2521,x2522)+E(f18(x2521,x2523),f18(x2522,x2523))
% 184.05/183.92 [253]~E(x2531,x2532)+E(f18(x2533,x2531),f18(x2533,x2532))
% 184.05/183.92 [254]~E(x2541,x2542)+E(f297(x2541,x2543),f297(x2542,x2543))
% 184.05/183.92 [255]~E(x2551,x2552)+E(f297(x2553,x2551),f297(x2553,x2552))
% 184.05/183.92 [256]~E(x2561,x2562)+E(f142(x2561,x2563),f142(x2562,x2563))
% 184.05/183.92 [257]~E(x2571,x2572)+E(f142(x2573,x2571),f142(x2573,x2572))
% 184.05/183.92 [258]~E(x2581,x2582)+E(f833(x2581,x2583,x2584,x2585,x2586,x2587,x2588,x2589),f833(x2582,x2583,x2584,x2585,x2586,x2587,x2588,x2589))
% 184.05/183.92 [259]~E(x2591,x2592)+E(f833(x2593,x2591,x2594,x2595,x2596,x2597,x2598,x2599),f833(x2593,x2592,x2594,x2595,x2596,x2597,x2598,x2599))
% 184.05/183.92 [260]~E(x2601,x2602)+E(f833(x2603,x2604,x2601,x2605,x2606,x2607,x2608,x2609),f833(x2603,x2604,x2602,x2605,x2606,x2607,x2608,x2609))
% 184.05/183.92 [261]~E(x2611,x2612)+E(f833(x2613,x2614,x2615,x2611,x2616,x2617,x2618,x2619),f833(x2613,x2614,x2615,x2612,x2616,x2617,x2618,x2619))
% 184.05/183.92 [262]~E(x2621,x2622)+E(f833(x2623,x2624,x2625,x2626,x2621,x2627,x2628,x2629),f833(x2623,x2624,x2625,x2626,x2622,x2627,x2628,x2629))
% 184.05/183.92 [263]~E(x2631,x2632)+E(f833(x2633,x2634,x2635,x2636,x2637,x2631,x2638,x2639),f833(x2633,x2634,x2635,x2636,x2637,x2632,x2638,x2639))
% 184.05/183.92 [264]~E(x2641,x2642)+E(f833(x2643,x2644,x2645,x2646,x2647,x2648,x2641,x2649),f833(x2643,x2644,x2645,x2646,x2647,x2648,x2642,x2649))
% 184.05/183.92 [265]~E(x2651,x2652)+E(f833(x2653,x2654,x2655,x2656,x2657,x2658,x2659,x2651),f833(x2653,x2654,x2655,x2656,x2657,x2658,x2659,x2652))
% 184.05/183.92 [266]~E(x2661,x2662)+E(f181(x2661),f181(x2662))
% 184.05/183.92 [267]~E(x2671,x2672)+E(f76(x2671,x2673),f76(x2672,x2673))
% 184.05/183.92 [268]~E(x2681,x2682)+E(f76(x2683,x2681),f76(x2683,x2682))
% 184.05/183.92 [269]~E(x2691,x2692)+E(f105(x2691),f105(x2692))
% 184.05/183.92 [270]~E(x2701,x2702)+E(f904(x2701,x2703),f904(x2702,x2703))
% 184.05/183.92 [271]~E(x2711,x2712)+E(f904(x2713,x2711),f904(x2713,x2712))
% 184.05/183.92 [272]~E(x2721,x2722)+E(f903(x2721,x2723),f903(x2722,x2723))
% 184.05/183.92 [273]~E(x2731,x2732)+E(f903(x2733,x2731),f903(x2733,x2732))
% 184.05/183.92 [274]~E(x2741,x2742)+E(f301(x2741,x2743,x2744),f301(x2742,x2743,x2744))
% 184.05/183.92 [275]~E(x2751,x2752)+E(f301(x2753,x2751,x2754),f301(x2753,x2752,x2754))
% 184.05/183.92 [276]~E(x2761,x2762)+E(f301(x2763,x2764,x2761),f301(x2763,x2764,x2762))
% 184.05/183.92 [277]~E(x2771,x2772)+E(f157(x2771),f157(x2772))
% 184.05/183.92 [278]~E(x2781,x2782)+E(f275(x2781,x2783,x2784),f275(x2782,x2783,x2784))
% 184.05/183.92 [279]~E(x2791,x2792)+E(f275(x2793,x2791,x2794),f275(x2793,x2792,x2794))
% 184.05/183.92 [280]~E(x2801,x2802)+E(f275(x2803,x2804,x2801),f275(x2803,x2804,x2802))
% 184.05/183.92 [281]~E(x2811,x2812)+E(f327(x2811,x2813,x2814),f327(x2812,x2813,x2814))
% 184.05/183.92 [282]~E(x2821,x2822)+E(f327(x2823,x2821,x2824),f327(x2823,x2822,x2824))
% 184.05/183.92 [283]~E(x2831,x2832)+E(f327(x2833,x2834,x2831),f327(x2833,x2834,x2832))
% 184.05/183.92 [284]~E(x2841,x2842)+E(f127(x2841),f127(x2842))
% 184.05/183.92 [285]~E(x2851,x2852)+E(f161(x2851),f161(x2852))
% 184.05/183.92 [286]~E(x2861,x2862)+E(f429(x2861,x2863,x2864,x2865),f429(x2862,x2863,x2864,x2865))
% 184.05/183.92 [287]~E(x2871,x2872)+E(f429(x2873,x2871,x2874,x2875),f429(x2873,x2872,x2874,x2875))
% 184.05/183.92 [288]~E(x2881,x2882)+E(f429(x2883,x2884,x2881,x2885),f429(x2883,x2884,x2882,x2885))
% 184.05/183.92 [289]~E(x2891,x2892)+E(f429(x2893,x2894,x2895,x2891),f429(x2893,x2894,x2895,x2892))
% 184.05/183.92 [290]~E(x2901,x2902)+E(f428(x2901,x2903,x2904,x2905,x2906,x2907,x2908),f428(x2902,x2903,x2904,x2905,x2906,x2907,x2908))
% 184.05/183.92 [291]~E(x2911,x2912)+E(f428(x2913,x2911,x2914,x2915,x2916,x2917,x2918),f428(x2913,x2912,x2914,x2915,x2916,x2917,x2918))
% 184.05/183.92 [292]~E(x2921,x2922)+E(f428(x2923,x2924,x2921,x2925,x2926,x2927,x2928),f428(x2923,x2924,x2922,x2925,x2926,x2927,x2928))
% 184.05/183.92 [293]~E(x2931,x2932)+E(f428(x2933,x2934,x2935,x2931,x2936,x2937,x2938),f428(x2933,x2934,x2935,x2932,x2936,x2937,x2938))
% 184.05/183.92 [294]~E(x2941,x2942)+E(f428(x2943,x2944,x2945,x2946,x2941,x2947,x2948),f428(x2943,x2944,x2945,x2946,x2942,x2947,x2948))
% 184.05/183.92 [295]~E(x2951,x2952)+E(f428(x2953,x2954,x2955,x2956,x2957,x2951,x2958),f428(x2953,x2954,x2955,x2956,x2957,x2952,x2958))
% 184.05/183.92 [296]~E(x2961,x2962)+E(f428(x2963,x2964,x2965,x2966,x2967,x2968,x2961),f428(x2963,x2964,x2965,x2966,x2967,x2968,x2962))
% 184.05/183.92 [297]~E(x2971,x2972)+E(f436(x2971,x2973,x2974),f436(x2972,x2973,x2974))
% 184.05/183.92 [298]~E(x2981,x2982)+E(f436(x2983,x2981,x2984),f436(x2983,x2982,x2984))
% 184.05/183.92 [299]~E(x2991,x2992)+E(f436(x2993,x2994,x2991),f436(x2993,x2994,x2992))
% 184.05/183.92 [300]~E(x3001,x3002)+E(f158(x3001),f158(x3002))
% 184.05/183.92 [301]~E(x3011,x3012)+E(f295(x3011,x3013,x3014),f295(x3012,x3013,x3014))
% 184.05/183.92 [302]~E(x3021,x3022)+E(f295(x3023,x3021,x3024),f295(x3023,x3022,x3024))
% 184.05/183.92 [303]~E(x3031,x3032)+E(f295(x3033,x3034,x3031),f295(x3033,x3034,x3032))
% 184.05/183.92 [304]~E(x3041,x3042)+E(f43(x3041,x3043),f43(x3042,x3043))
% 184.05/183.92 [305]~E(x3051,x3052)+E(f43(x3053,x3051),f43(x3053,x3052))
% 184.05/183.92 [306]~E(x3061,x3062)+E(f14(x3061,x3063,x3064),f14(x3062,x3063,x3064))
% 184.05/183.92 [307]~E(x3071,x3072)+E(f14(x3073,x3071,x3074),f14(x3073,x3072,x3074))
% 184.05/183.92 [308]~E(x3081,x3082)+E(f14(x3083,x3084,x3081),f14(x3083,x3084,x3082))
% 184.05/183.92 [309]~E(x3091,x3092)+E(f272(x3091),f272(x3092))
% 184.05/183.92 [310]~E(x3101,x3102)+E(f356(x3101,x3103,x3104,x3105),f356(x3102,x3103,x3104,x3105))
% 184.05/183.92 [311]~E(x3111,x3112)+E(f356(x3113,x3111,x3114,x3115),f356(x3113,x3112,x3114,x3115))
% 184.05/183.92 [312]~E(x3121,x3122)+E(f356(x3123,x3124,x3121,x3125),f356(x3123,x3124,x3122,x3125))
% 184.05/183.92 [313]~E(x3131,x3132)+E(f356(x3133,x3134,x3135,x3131),f356(x3133,x3134,x3135,x3132))
% 184.05/183.92 [314]~E(x3141,x3142)+E(f244(x3141,x3143),f244(x3142,x3143))
% 184.05/183.92 [315]~E(x3151,x3152)+E(f244(x3153,x3151),f244(x3153,x3152))
% 184.05/183.92 [316]~E(x3161,x3162)+E(f704(x3161,x3163,x3164),f704(x3162,x3163,x3164))
% 184.05/183.92 [317]~E(x3171,x3172)+E(f704(x3173,x3171,x3174),f704(x3173,x3172,x3174))
% 184.05/183.92 [318]~E(x3181,x3182)+E(f704(x3183,x3184,x3181),f704(x3183,x3184,x3182))
% 184.05/183.92 [319]~E(x3191,x3192)+E(f241(x3191,x3193),f241(x3192,x3193))
% 184.05/183.92 [320]~E(x3201,x3202)+E(f241(x3203,x3201),f241(x3203,x3202))
% 184.05/183.92 [321]~E(x3211,x3212)+E(f308(x3211,x3213),f308(x3212,x3213))
% 184.05/183.92 [322]~E(x3221,x3222)+E(f308(x3223,x3221),f308(x3223,x3222))
% 184.05/183.92 [323]~E(x3231,x3232)+E(f814(x3231,x3233,x3234,x3235),f814(x3232,x3233,x3234,x3235))
% 184.05/183.92 [324]~E(x3241,x3242)+E(f814(x3243,x3241,x3244,x3245),f814(x3243,x3242,x3244,x3245))
% 184.05/183.92 [325]~E(x3251,x3252)+E(f814(x3253,x3254,x3251,x3255),f814(x3253,x3254,x3252,x3255))
% 184.05/183.92 [326]~E(x3261,x3262)+E(f814(x3263,x3264,x3265,x3261),f814(x3263,x3264,x3265,x3262))
% 184.05/183.92 [327]~E(x3271,x3272)+E(f310(x3271,x3273),f310(x3272,x3273))
% 184.05/183.92 [328]~E(x3281,x3282)+E(f310(x3283,x3281),f310(x3283,x3282))
% 184.05/183.92 [329]~E(x3291,x3292)+E(f582(x3291),f582(x3292))
% 184.05/183.92 [330]~E(x3301,x3302)+E(f378(x3301,x3303,x3304),f378(x3302,x3303,x3304))
% 184.05/183.92 [331]~E(x3311,x3312)+E(f378(x3313,x3311,x3314),f378(x3313,x3312,x3314))
% 184.05/183.92 [332]~E(x3321,x3322)+E(f378(x3323,x3324,x3321),f378(x3323,x3324,x3322))
% 184.05/183.92 [333]~E(x3331,x3332)+E(f523(x3331,x3333,x3334,x3335,x3336,x3337,x3338),f523(x3332,x3333,x3334,x3335,x3336,x3337,x3338))
% 184.05/183.92 [334]~E(x3341,x3342)+E(f523(x3343,x3341,x3344,x3345,x3346,x3347,x3348),f523(x3343,x3342,x3344,x3345,x3346,x3347,x3348))
% 184.05/183.92 [335]~E(x3351,x3352)+E(f523(x3353,x3354,x3351,x3355,x3356,x3357,x3358),f523(x3353,x3354,x3352,x3355,x3356,x3357,x3358))
% 184.05/183.92 [336]~E(x3361,x3362)+E(f523(x3363,x3364,x3365,x3361,x3366,x3367,x3368),f523(x3363,x3364,x3365,x3362,x3366,x3367,x3368))
% 184.05/183.92 [337]~E(x3371,x3372)+E(f523(x3373,x3374,x3375,x3376,x3371,x3377,x3378),f523(x3373,x3374,x3375,x3376,x3372,x3377,x3378))
% 184.05/183.92 [338]~E(x3381,x3382)+E(f523(x3383,x3384,x3385,x3386,x3387,x3381,x3388),f523(x3383,x3384,x3385,x3386,x3387,x3382,x3388))
% 184.05/183.92 [339]~E(x3391,x3392)+E(f523(x3393,x3394,x3395,x3396,x3397,x3398,x3391),f523(x3393,x3394,x3395,x3396,x3397,x3398,x3392))
% 184.05/183.92 [340]~E(x3401,x3402)+E(f51(x3401),f51(x3402))
% 184.05/183.92 [341]~E(x3411,x3412)+E(f296(x3411,x3413,x3414),f296(x3412,x3413,x3414))
% 184.05/183.92 [342]~E(x3421,x3422)+E(f296(x3423,x3421,x3424),f296(x3423,x3422,x3424))
% 184.05/183.92 [343]~E(x3431,x3432)+E(f296(x3433,x3434,x3431),f296(x3433,x3434,x3432))
% 184.05/183.92 [344]~E(x3441,x3442)+E(f154(x3441),f154(x3442))
% 184.05/183.92 [345]~E(x3451,x3452)+E(f115(x3451,x3453),f115(x3452,x3453))
% 184.05/183.92 [346]~E(x3461,x3462)+E(f115(x3463,x3461),f115(x3463,x3462))
% 184.05/183.92 [347]~E(x3471,x3472)+E(f42(x3471,x3473),f42(x3472,x3473))
% 184.05/183.92 [348]~E(x3481,x3482)+E(f42(x3483,x3481),f42(x3483,x3482))
% 184.05/183.92 [349]~E(x3491,x3492)+E(f305(x3491,x3493),f305(x3492,x3493))
% 184.05/183.92 [350]~E(x3501,x3502)+E(f305(x3503,x3501),f305(x3503,x3502))
% 184.05/183.92 [351]~E(x3511,x3512)+E(f841(x3511,x3513,x3514),f841(x3512,x3513,x3514))
% 184.05/183.92 [352]~E(x3521,x3522)+E(f841(x3523,x3521,x3524),f841(x3523,x3522,x3524))
% 184.05/183.92 [353]~E(x3531,x3532)+E(f841(x3533,x3534,x3531),f841(x3533,x3534,x3532))
% 184.05/183.92 [354]~E(x3541,x3542)+E(f751(x3541,x3543,x3544,x3545),f751(x3542,x3543,x3544,x3545))
% 184.05/183.92 [355]~E(x3551,x3552)+E(f751(x3553,x3551,x3554,x3555),f751(x3553,x3552,x3554,x3555))
% 184.05/183.92 [356]~E(x3561,x3562)+E(f751(x3563,x3564,x3561,x3565),f751(x3563,x3564,x3562,x3565))
% 184.05/183.92 [357]~E(x3571,x3572)+E(f751(x3573,x3574,x3575,x3571),f751(x3573,x3574,x3575,x3572))
% 184.05/183.92 [358]~E(x3581,x3582)+E(f662(x3581,x3583,x3584,x3585,x3586),f662(x3582,x3583,x3584,x3585,x3586))
% 184.05/183.92 [359]~E(x3591,x3592)+E(f662(x3593,x3591,x3594,x3595,x3596),f662(x3593,x3592,x3594,x3595,x3596))
% 184.05/183.92 [360]~E(x3601,x3602)+E(f662(x3603,x3604,x3601,x3605,x3606),f662(x3603,x3604,x3602,x3605,x3606))
% 184.05/183.92 [361]~E(x3611,x3612)+E(f662(x3613,x3614,x3615,x3611,x3616),f662(x3613,x3614,x3615,x3612,x3616))
% 184.05/183.92 [362]~E(x3621,x3622)+E(f662(x3623,x3624,x3625,x3626,x3621),f662(x3623,x3624,x3625,x3626,x3622))
% 184.05/183.92 [363]~E(x3631,x3632)+E(f294(x3631),f294(x3632))
% 184.05/183.92 [364]~E(x3641,x3642)+E(f766(x3641,x3643,x3644,x3645,x3646,x3647,x3648),f766(x3642,x3643,x3644,x3645,x3646,x3647,x3648))
% 184.05/183.92 [365]~E(x3651,x3652)+E(f766(x3653,x3651,x3654,x3655,x3656,x3657,x3658),f766(x3653,x3652,x3654,x3655,x3656,x3657,x3658))
% 184.05/183.92 [366]~E(x3661,x3662)+E(f766(x3663,x3664,x3661,x3665,x3666,x3667,x3668),f766(x3663,x3664,x3662,x3665,x3666,x3667,x3668))
% 184.05/183.92 [367]~E(x3671,x3672)+E(f766(x3673,x3674,x3675,x3671,x3676,x3677,x3678),f766(x3673,x3674,x3675,x3672,x3676,x3677,x3678))
% 184.05/183.92 [368]~E(x3681,x3682)+E(f766(x3683,x3684,x3685,x3686,x3681,x3687,x3688),f766(x3683,x3684,x3685,x3686,x3682,x3687,x3688))
% 184.05/183.92 [369]~E(x3691,x3692)+E(f766(x3693,x3694,x3695,x3696,x3697,x3691,x3698),f766(x3693,x3694,x3695,x3696,x3697,x3692,x3698))
% 184.05/183.92 [370]~E(x3701,x3702)+E(f766(x3703,x3704,x3705,x3706,x3707,x3708,x3701),f766(x3703,x3704,x3705,x3706,x3707,x3708,x3702))
% 184.05/183.92 [371]~E(x3711,x3712)+E(f57(x3711,x3713),f57(x3712,x3713))
% 184.05/183.92 [372]~E(x3721,x3722)+E(f57(x3723,x3721),f57(x3723,x3722))
% 184.05/183.92 [373]~E(x3731,x3732)+E(f710(x3731,x3733,x3734),f710(x3732,x3733,x3734))
% 184.05/183.92 [374]~E(x3741,x3742)+E(f710(x3743,x3741,x3744),f710(x3743,x3742,x3744))
% 184.05/183.92 [375]~E(x3751,x3752)+E(f710(x3753,x3754,x3751),f710(x3753,x3754,x3752))
% 184.05/183.92 [376]~E(x3761,x3762)+E(f109(x3761),f109(x3762))
% 184.05/183.92 [377]~E(x3771,x3772)+E(f110(x3771,x3773),f110(x3772,x3773))
% 184.05/183.92 [378]~E(x3781,x3782)+E(f110(x3783,x3781),f110(x3783,x3782))
% 184.05/183.92 [379]~E(x3791,x3792)+E(f367(x3791,x3793),f367(x3792,x3793))
% 184.05/183.92 [380]~E(x3801,x3802)+E(f367(x3803,x3801),f367(x3803,x3802))
% 184.05/183.92 [381]~E(x3811,x3812)+E(f32(x3811,x3813),f32(x3812,x3813))
% 184.05/183.92 [382]~E(x3821,x3822)+E(f32(x3823,x3821),f32(x3823,x3822))
% 184.05/183.92 [383]~E(x3831,x3832)+E(f159(x3831,x3833,x3834),f159(x3832,x3833,x3834))
% 184.05/183.92 [384]~E(x3841,x3842)+E(f159(x3843,x3841,x3844),f159(x3843,x3842,x3844))
% 184.05/183.92 [385]~E(x3851,x3852)+E(f159(x3853,x3854,x3851),f159(x3853,x3854,x3852))
% 184.05/183.92 [386]~E(x3861,x3862)+E(f153(x3861,x3863,x3864,x3865),f153(x3862,x3863,x3864,x3865))
% 184.05/183.92 [387]~E(x3871,x3872)+E(f153(x3873,x3871,x3874,x3875),f153(x3873,x3872,x3874,x3875))
% 184.05/183.92 [388]~E(x3881,x3882)+E(f153(x3883,x3884,x3881,x3885),f153(x3883,x3884,x3882,x3885))
% 184.05/183.92 [389]~E(x3891,x3892)+E(f153(x3893,x3894,x3895,x3891),f153(x3893,x3894,x3895,x3892))
% 184.05/183.92 [390]~E(x3901,x3902)+E(f271(x3901),f271(x3902))
% 184.05/183.92 [391]~E(x3911,x3912)+E(f484(x3911,x3913,x3914,x3915,x3916,x3917,x3918),f484(x3912,x3913,x3914,x3915,x3916,x3917,x3918))
% 184.05/183.92 [392]~E(x3921,x3922)+E(f484(x3923,x3921,x3924,x3925,x3926,x3927,x3928),f484(x3923,x3922,x3924,x3925,x3926,x3927,x3928))
% 184.05/183.92 [393]~E(x3931,x3932)+E(f484(x3933,x3934,x3931,x3935,x3936,x3937,x3938),f484(x3933,x3934,x3932,x3935,x3936,x3937,x3938))
% 184.05/183.92 [394]~E(x3941,x3942)+E(f484(x3943,x3944,x3945,x3941,x3946,x3947,x3948),f484(x3943,x3944,x3945,x3942,x3946,x3947,x3948))
% 184.05/183.92 [395]~E(x3951,x3952)+E(f484(x3953,x3954,x3955,x3956,x3951,x3957,x3958),f484(x3953,x3954,x3955,x3956,x3952,x3957,x3958))
% 184.05/183.92 [396]~E(x3961,x3962)+E(f484(x3963,x3964,x3965,x3966,x3967,x3961,x3968),f484(x3963,x3964,x3965,x3966,x3967,x3962,x3968))
% 184.05/183.92 [397]~E(x3971,x3972)+E(f484(x3973,x3974,x3975,x3976,x3977,x3978,x3971),f484(x3973,x3974,x3975,x3976,x3977,x3978,x3972))
% 184.05/183.92 [398]~E(x3981,x3982)+E(f84(x3981,x3983),f84(x3982,x3983))
% 184.05/183.92 [399]~E(x3991,x3992)+E(f84(x3993,x3991),f84(x3993,x3992))
% 184.05/183.92 [400]~E(x4001,x4002)+E(f659(x4001,x4003,x4004),f659(x4002,x4003,x4004))
% 184.05/183.92 [401]~E(x4011,x4012)+E(f659(x4013,x4011,x4014),f659(x4013,x4012,x4014))
% 184.05/183.92 [402]~E(x4021,x4022)+E(f659(x4023,x4024,x4021),f659(x4023,x4024,x4022))
% 184.05/183.92 [403]~E(x4031,x4032)+E(f143(x4031,x4033),f143(x4032,x4033))
% 184.05/183.92 [404]~E(x4041,x4042)+E(f143(x4043,x4041),f143(x4043,x4042))
% 184.05/183.92 [405]~E(x4051,x4052)+E(f253(x4051,x4053),f253(x4052,x4053))
% 184.05/183.92 [406]~E(x4061,x4062)+E(f253(x4063,x4061),f253(x4063,x4062))
% 184.05/183.92 [407]~E(x4071,x4072)+E(f452(x4071,x4073,x4074),f452(x4072,x4073,x4074))
% 184.05/183.92 [408]~E(x4081,x4082)+E(f452(x4083,x4081,x4084),f452(x4083,x4082,x4084))
% 184.05/183.92 [409]~E(x4091,x4092)+E(f452(x4093,x4094,x4091),f452(x4093,x4094,x4092))
% 184.05/183.92 [410]~E(x4101,x4102)+E(f149(x4101,x4103),f149(x4102,x4103))
% 184.05/183.92 [411]~E(x4111,x4112)+E(f149(x4113,x4111),f149(x4113,x4112))
% 184.05/183.92 [412]~E(x4121,x4122)+E(f134(x4121,x4123),f134(x4122,x4123))
% 184.05/183.92 [413]~E(x4131,x4132)+E(f134(x4133,x4131),f134(x4133,x4132))
% 184.05/183.92 [414]~E(x4141,x4142)+E(f167(x4141,x4143,x4144),f167(x4142,x4143,x4144))
% 184.05/183.92 [415]~E(x4151,x4152)+E(f167(x4153,x4151,x4154),f167(x4153,x4152,x4154))
% 184.05/183.92 [416]~E(x4161,x4162)+E(f167(x4163,x4164,x4161),f167(x4163,x4164,x4162))
% 184.05/183.92 [417]~E(x4171,x4172)+E(f205(x4171,x4173),f205(x4172,x4173))
% 184.05/183.92 [418]~E(x4181,x4182)+E(f205(x4183,x4181),f205(x4183,x4182))
% 184.05/183.92 [419]~E(x4191,x4192)+E(f636(x4191,x4193,x4194,x4195,x4196),f636(x4192,x4193,x4194,x4195,x4196))
% 184.05/183.92 [420]~E(x4201,x4202)+E(f636(x4203,x4201,x4204,x4205,x4206),f636(x4203,x4202,x4204,x4205,x4206))
% 184.05/183.92 [421]~E(x4211,x4212)+E(f636(x4213,x4214,x4211,x4215,x4216),f636(x4213,x4214,x4212,x4215,x4216))
% 184.05/183.92 [422]~E(x4221,x4222)+E(f636(x4223,x4224,x4225,x4221,x4226),f636(x4223,x4224,x4225,x4222,x4226))
% 184.05/183.92 [423]~E(x4231,x4232)+E(f636(x4233,x4234,x4235,x4236,x4231),f636(x4233,x4234,x4235,x4236,x4232))
% 184.05/183.92 [424]~E(x4241,x4242)+E(f614(x4241,x4243,x4244,x4245,x4246),f614(x4242,x4243,x4244,x4245,x4246))
% 184.05/183.92 [425]~E(x4251,x4252)+E(f614(x4253,x4251,x4254,x4255,x4256),f614(x4253,x4252,x4254,x4255,x4256))
% 184.05/183.92 [426]~E(x4261,x4262)+E(f614(x4263,x4264,x4261,x4265,x4266),f614(x4263,x4264,x4262,x4265,x4266))
% 184.05/183.92 [427]~E(x4271,x4272)+E(f614(x4273,x4274,x4275,x4271,x4276),f614(x4273,x4274,x4275,x4272,x4276))
% 184.05/183.92 [428]~E(x4281,x4282)+E(f614(x4283,x4284,x4285,x4286,x4281),f614(x4283,x4284,x4285,x4286,x4282))
% 184.05/183.92 [429]~E(x4291,x4292)+E(f423(x4291,x4293,x4294),f423(x4292,x4293,x4294))
% 184.05/183.92 [430]~E(x4301,x4302)+E(f423(x4303,x4301,x4304),f423(x4303,x4302,x4304))
% 184.05/183.92 [431]~E(x4311,x4312)+E(f423(x4313,x4314,x4311),f423(x4313,x4314,x4312))
% 184.05/183.92 [432]~E(x4321,x4322)+E(f282(x4321,x4323),f282(x4322,x4323))
% 184.05/183.92 [433]~E(x4331,x4332)+E(f282(x4333,x4331),f282(x4333,x4332))
% 184.05/183.92 [434]~E(x4341,x4342)+E(f712(x4341,x4343),f712(x4342,x4343))
% 184.05/183.92 [435]~E(x4351,x4352)+E(f712(x4353,x4351),f712(x4353,x4352))
% 184.05/183.92 [436]~E(x4361,x4362)+E(f256(x4361,x4363),f256(x4362,x4363))
% 184.05/183.92 [437]~E(x4371,x4372)+E(f256(x4373,x4371),f256(x4373,x4372))
% 184.05/183.92 [438]~E(x4381,x4382)+E(f311(x4381,x4383,x4384),f311(x4382,x4383,x4384))
% 184.05/183.92 [439]~E(x4391,x4392)+E(f311(x4393,x4391,x4394),f311(x4393,x4392,x4394))
% 184.05/183.92 [440]~E(x4401,x4402)+E(f311(x4403,x4404,x4401),f311(x4403,x4404,x4402))
% 184.05/183.92 [441]~E(x4411,x4412)+E(f274(x4411,x4413),f274(x4412,x4413))
% 184.05/183.92 [442]~E(x4421,x4422)+E(f274(x4423,x4421),f274(x4423,x4422))
% 184.05/183.92 [443]~E(x4431,x4432)+E(f844(x4431,x4433,x4434),f844(x4432,x4433,x4434))
% 184.05/183.92 [444]~E(x4441,x4442)+E(f844(x4443,x4441,x4444),f844(x4443,x4442,x4444))
% 184.05/183.92 [445]~E(x4451,x4452)+E(f844(x4453,x4454,x4451),f844(x4453,x4454,x4452))
% 184.05/183.92 [446]~E(x4461,x4462)+E(f45(x4461,x4463),f45(x4462,x4463))
% 184.05/183.92 [447]~E(x4471,x4472)+E(f45(x4473,x4471),f45(x4473,x4472))
% 184.05/183.92 [448]~E(x4481,x4482)+E(f765(x4481,x4483,x4484,x4485,x4486,x4487,x4488),f765(x4482,x4483,x4484,x4485,x4486,x4487,x4488))
% 184.05/183.92 [449]~E(x4491,x4492)+E(f765(x4493,x4491,x4494,x4495,x4496,x4497,x4498),f765(x4493,x4492,x4494,x4495,x4496,x4497,x4498))
% 184.05/183.92 [450]~E(x4501,x4502)+E(f765(x4503,x4504,x4501,x4505,x4506,x4507,x4508),f765(x4503,x4504,x4502,x4505,x4506,x4507,x4508))
% 184.05/183.92 [451]~E(x4511,x4512)+E(f765(x4513,x4514,x4515,x4511,x4516,x4517,x4518),f765(x4513,x4514,x4515,x4512,x4516,x4517,x4518))
% 184.05/183.92 [452]~E(x4521,x4522)+E(f765(x4523,x4524,x4525,x4526,x4521,x4527,x4528),f765(x4523,x4524,x4525,x4526,x4522,x4527,x4528))
% 184.05/183.92 [453]~E(x4531,x4532)+E(f765(x4533,x4534,x4535,x4536,x4537,x4531,x4538),f765(x4533,x4534,x4535,x4536,x4537,x4532,x4538))
% 184.05/183.92 [454]~E(x4541,x4542)+E(f765(x4543,x4544,x4545,x4546,x4547,x4548,x4541),f765(x4543,x4544,x4545,x4546,x4547,x4548,x4542))
% 184.05/183.92 [455]~E(x4551,x4552)+E(f217(x4551,x4553),f217(x4552,x4553))
% 184.05/183.92 [456]~E(x4561,x4562)+E(f217(x4563,x4561),f217(x4563,x4562))
% 184.05/183.92 [457]~E(x4571,x4572)+E(f303(x4571,x4573,x4574,x4575),f303(x4572,x4573,x4574,x4575))
% 184.05/183.92 [458]~E(x4581,x4582)+E(f303(x4583,x4581,x4584,x4585),f303(x4583,x4582,x4584,x4585))
% 184.05/183.92 [459]~E(x4591,x4592)+E(f303(x4593,x4594,x4591,x4595),f303(x4593,x4594,x4592,x4595))
% 184.05/183.92 [460]~E(x4601,x4602)+E(f303(x4603,x4604,x4605,x4601),f303(x4603,x4604,x4605,x4602))
% 184.05/183.92 [461]~E(x4611,x4612)+E(f15(x4611,x4613,x4614),f15(x4612,x4613,x4614))
% 184.05/183.92 [462]~E(x4621,x4622)+E(f15(x4623,x4621,x4624),f15(x4623,x4622,x4624))
% 184.05/183.92 [463]~E(x4631,x4632)+E(f15(x4633,x4634,x4631),f15(x4633,x4634,x4632))
% 184.05/183.92 [464]~E(x4641,x4642)+E(f280(x4641,x4643,x4644,x4645),f280(x4642,x4643,x4644,x4645))
% 184.05/183.92 [465]~E(x4651,x4652)+E(f280(x4653,x4651,x4654,x4655),f280(x4653,x4652,x4654,x4655))
% 184.05/183.92 [466]~E(x4661,x4662)+E(f280(x4663,x4664,x4661,x4665),f280(x4663,x4664,x4662,x4665))
% 184.05/183.92 [467]~E(x4671,x4672)+E(f280(x4673,x4674,x4675,x4671),f280(x4673,x4674,x4675,x4672))
% 184.05/183.92 [468]~E(x4681,x4682)+E(f762(x4681,x4683,x4684,x4685),f762(x4682,x4683,x4684,x4685))
% 184.05/183.92 [469]~E(x4691,x4692)+E(f762(x4693,x4691,x4694,x4695),f762(x4693,x4692,x4694,x4695))
% 184.05/183.92 [470]~E(x4701,x4702)+E(f762(x4703,x4704,x4701,x4705),f762(x4703,x4704,x4702,x4705))
% 184.05/183.92 [471]~E(x4711,x4712)+E(f762(x4713,x4714,x4715,x4711),f762(x4713,x4714,x4715,x4712))
% 184.05/183.92 [472]~E(x4721,x4722)+E(f150(x4721,x4723),f150(x4722,x4723))
% 184.05/183.92 [473]~E(x4731,x4732)+E(f150(x4733,x4731),f150(x4733,x4732))
% 184.05/183.92 [474]~E(x4741,x4742)+E(f309(x4741,x4743,x4744,x4745),f309(x4742,x4743,x4744,x4745))
% 184.05/183.92 [475]~E(x4751,x4752)+E(f309(x4753,x4751,x4754,x4755),f309(x4753,x4752,x4754,x4755))
% 184.05/183.92 [476]~E(x4761,x4762)+E(f309(x4763,x4764,x4761,x4765),f309(x4763,x4764,x4762,x4765))
% 184.05/183.92 [477]~E(x4771,x4772)+E(f309(x4773,x4774,x4775,x4771),f309(x4773,x4774,x4775,x4772))
% 184.05/183.92 [478]~E(x4781,x4782)+E(f554(x4781,x4783,x4784),f554(x4782,x4783,x4784))
% 184.05/183.92 [479]~E(x4791,x4792)+E(f554(x4793,x4791,x4794),f554(x4793,x4792,x4794))
% 184.05/183.92 [480]~E(x4801,x4802)+E(f554(x4803,x4804,x4801),f554(x4803,x4804,x4802))
% 184.05/183.92 [481]~E(x4811,x4812)+E(f128(x4811),f128(x4812))
% 184.05/183.92 [482]~E(x4821,x4822)+E(f488(x4821,x4823,x4824,x4825),f488(x4822,x4823,x4824,x4825))
% 184.05/183.92 [483]~E(x4831,x4832)+E(f488(x4833,x4831,x4834,x4835),f488(x4833,x4832,x4834,x4835))
% 184.05/183.92 [484]~E(x4841,x4842)+E(f488(x4843,x4844,x4841,x4845),f488(x4843,x4844,x4842,x4845))
% 184.05/183.92 [485]~E(x4851,x4852)+E(f488(x4853,x4854,x4855,x4851),f488(x4853,x4854,x4855,x4852))
% 184.05/183.92 [486]~E(x4861,x4862)+E(f54(x4861,x4863,x4864,x4865),f54(x4862,x4863,x4864,x4865))
% 184.05/183.92 [487]~E(x4871,x4872)+E(f54(x4873,x4871,x4874,x4875),f54(x4873,x4872,x4874,x4875))
% 184.05/183.92 [488]~E(x4881,x4882)+E(f54(x4883,x4884,x4881,x4885),f54(x4883,x4884,x4882,x4885))
% 184.05/183.92 [489]~E(x4891,x4892)+E(f54(x4893,x4894,x4895,x4891),f54(x4893,x4894,x4895,x4892))
% 184.05/183.92 [490]~E(x4901,x4902)+E(f867(x4901,x4903,x4904),f867(x4902,x4903,x4904))
% 184.05/183.92 [491]~E(x4911,x4912)+E(f867(x4913,x4911,x4914),f867(x4913,x4912,x4914))
% 184.05/183.92 [492]~E(x4921,x4922)+E(f867(x4923,x4924,x4921),f867(x4923,x4924,x4922))
% 184.05/183.92 [493]~E(x4931,x4932)+E(f304(x4931),f304(x4932))
% 184.05/183.92 [494]~E(x4941,x4942)+E(f461(x4941,x4943,x4944),f461(x4942,x4943,x4944))
% 184.05/183.92 [495]~E(x4951,x4952)+E(f461(x4953,x4951,x4954),f461(x4953,x4952,x4954))
% 184.05/183.92 [496]~E(x4961,x4962)+E(f461(x4963,x4964,x4961),f461(x4963,x4964,x4962))
% 184.05/183.92 [497]~E(x4971,x4972)+E(f156(x4971,x4973,x4974),f156(x4972,x4973,x4974))
% 184.05/183.92 [498]~E(x4981,x4982)+E(f156(x4983,x4981,x4984),f156(x4983,x4982,x4984))
% 184.05/183.92 [499]~E(x4991,x4992)+E(f156(x4993,x4994,x4991),f156(x4993,x4994,x4992))
% 184.05/183.92 [500]~E(x5001,x5002)+E(f469(x5001,x5003,x5004,x5005,x5006),f469(x5002,x5003,x5004,x5005,x5006))
% 184.05/183.92 [501]~E(x5011,x5012)+E(f469(x5013,x5011,x5014,x5015,x5016),f469(x5013,x5012,x5014,x5015,x5016))
% 184.05/183.92 [502]~E(x5021,x5022)+E(f469(x5023,x5024,x5021,x5025,x5026),f469(x5023,x5024,x5022,x5025,x5026))
% 184.05/183.92 [503]~E(x5031,x5032)+E(f469(x5033,x5034,x5035,x5031,x5036),f469(x5033,x5034,x5035,x5032,x5036))
% 184.05/183.92 [504]~E(x5041,x5042)+E(f469(x5043,x5044,x5045,x5046,x5041),f469(x5043,x5044,x5045,x5046,x5042))
% 184.05/183.92 [505]~E(x5051,x5052)+E(f483(x5051,x5053,x5054,x5055,x5056,x5057,x5058),f483(x5052,x5053,x5054,x5055,x5056,x5057,x5058))
% 184.05/183.92 [506]~E(x5061,x5062)+E(f483(x5063,x5061,x5064,x5065,x5066,x5067,x5068),f483(x5063,x5062,x5064,x5065,x5066,x5067,x5068))
% 184.05/183.92 [507]~E(x5071,x5072)+E(f483(x5073,x5074,x5071,x5075,x5076,x5077,x5078),f483(x5073,x5074,x5072,x5075,x5076,x5077,x5078))
% 184.05/183.92 [508]~E(x5081,x5082)+E(f483(x5083,x5084,x5085,x5081,x5086,x5087,x5088),f483(x5083,x5084,x5085,x5082,x5086,x5087,x5088))
% 184.05/183.92 [509]~E(x5091,x5092)+E(f483(x5093,x5094,x5095,x5096,x5091,x5097,x5098),f483(x5093,x5094,x5095,x5096,x5092,x5097,x5098))
% 184.05/183.92 [510]~E(x5101,x5102)+E(f483(x5103,x5104,x5105,x5106,x5107,x5101,x5108),f483(x5103,x5104,x5105,x5106,x5107,x5102,x5108))
% 184.05/183.92 [511]~E(x5111,x5112)+E(f483(x5113,x5114,x5115,x5116,x5117,x5118,x5111),f483(x5113,x5114,x5115,x5116,x5117,x5118,x5112))
% 184.05/183.92 [512]~E(x5121,x5122)+E(f82(x5121),f82(x5122))
% 184.05/183.92 [513]~E(x5131,x5132)+E(f130(x5131,x5133,x5134),f130(x5132,x5133,x5134))
% 184.05/183.92 [514]~E(x5141,x5142)+E(f130(x5143,x5141,x5144),f130(x5143,x5142,x5144))
% 184.05/183.92 [515]~E(x5151,x5152)+E(f130(x5153,x5154,x5151),f130(x5153,x5154,x5152))
% 184.05/183.92 [516]~E(x5161,x5162)+E(f661(x5161,x5163,x5164,x5165,x5166),f661(x5162,x5163,x5164,x5165,x5166))
% 184.05/183.92 [517]~E(x5171,x5172)+E(f661(x5173,x5171,x5174,x5175,x5176),f661(x5173,x5172,x5174,x5175,x5176))
% 184.05/183.92 [518]~E(x5181,x5182)+E(f661(x5183,x5184,x5181,x5185,x5186),f661(x5183,x5184,x5182,x5185,x5186))
% 184.05/183.92 [519]~E(x5191,x5192)+E(f661(x5193,x5194,x5195,x5191,x5196),f661(x5193,x5194,x5195,x5192,x5196))
% 184.05/183.92 [520]~E(x5201,x5202)+E(f661(x5203,x5204,x5205,x5206,x5201),f661(x5203,x5204,x5205,x5206,x5202))
% 184.05/183.92 [521]~E(x5211,x5212)+E(f646(x5211,x5213,x5214,x5215),f646(x5212,x5213,x5214,x5215))
% 184.05/183.92 [522]~E(x5221,x5222)+E(f646(x5223,x5221,x5224,x5225),f646(x5223,x5222,x5224,x5225))
% 184.05/183.92 [523]~E(x5231,x5232)+E(f646(x5233,x5234,x5231,x5235),f646(x5233,x5234,x5232,x5235))
% 184.05/183.92 [524]~E(x5241,x5242)+E(f646(x5243,x5244,x5245,x5241),f646(x5243,x5244,x5245,x5242))
% 184.05/183.92 [525]~E(x5251,x5252)+E(f553(x5251,x5253,x5254,x5255),f553(x5252,x5253,x5254,x5255))
% 184.05/183.92 [526]~E(x5261,x5262)+E(f553(x5263,x5261,x5264,x5265),f553(x5263,x5262,x5264,x5265))
% 184.05/183.92 [527]~E(x5271,x5272)+E(f553(x5273,x5274,x5271,x5275),f553(x5273,x5274,x5272,x5275))
% 184.05/183.92 [528]~E(x5281,x5282)+E(f553(x5283,x5284,x5285,x5281),f553(x5283,x5284,x5285,x5282))
% 184.05/183.92 [529]~E(x5291,x5292)+E(f687(x5291,x5293),f687(x5292,x5293))
% 184.05/183.92 [530]~E(x5301,x5302)+E(f687(x5303,x5301),f687(x5303,x5302))
% 184.05/183.92 [531]~E(x5311,x5312)+E(f425(x5311,x5313,x5314),f425(x5312,x5313,x5314))
% 184.05/183.92 [532]~E(x5321,x5322)+E(f425(x5323,x5321,x5324),f425(x5323,x5322,x5324))
% 184.05/183.92 [533]~E(x5331,x5332)+E(f425(x5333,x5334,x5331),f425(x5333,x5334,x5332))
% 184.05/183.92 [534]~E(x5341,x5342)+E(f276(x5341,x5343),f276(x5342,x5343))
% 184.05/183.92 [535]~E(x5351,x5352)+E(f276(x5353,x5351),f276(x5353,x5352))
% 184.05/183.92 [536]~E(x5361,x5362)+E(f287(x5361,x5363,x5364,x5365,x5366),f287(x5362,x5363,x5364,x5365,x5366))
% 184.05/183.92 [537]~E(x5371,x5372)+E(f287(x5373,x5371,x5374,x5375,x5376),f287(x5373,x5372,x5374,x5375,x5376))
% 184.05/183.92 [538]~E(x5381,x5382)+E(f287(x5383,x5384,x5381,x5385,x5386),f287(x5383,x5384,x5382,x5385,x5386))
% 184.05/183.92 [539]~E(x5391,x5392)+E(f287(x5393,x5394,x5395,x5391,x5396),f287(x5393,x5394,x5395,x5392,x5396))
% 184.05/183.92 [540]~E(x5401,x5402)+E(f287(x5403,x5404,x5405,x5406,x5401),f287(x5403,x5404,x5405,x5406,x5402))
% 184.05/183.92 [541]~E(x5411,x5412)+E(f273(x5411),f273(x5412))
% 184.05/183.92 [542]~E(x5421,x5422)+E(f400(x5421,x5423),f400(x5422,x5423))
% 184.05/183.92 [543]~E(x5431,x5432)+E(f400(x5433,x5431),f400(x5433,x5432))
% 184.05/183.92 [544]~E(x5441,x5442)+E(f339(x5441,x5443,x5444),f339(x5442,x5443,x5444))
% 184.05/183.92 [545]~E(x5451,x5452)+E(f339(x5453,x5451,x5454),f339(x5453,x5452,x5454))
% 184.05/183.92 [546]~E(x5461,x5462)+E(f339(x5463,x5464,x5461),f339(x5463,x5464,x5462))
% 184.05/183.92 [547]~E(x5471,x5472)+E(f71(x5471,x5473,x5474,x5475),f71(x5472,x5473,x5474,x5475))
% 184.05/183.92 [548]~E(x5481,x5482)+E(f71(x5483,x5481,x5484,x5485),f71(x5483,x5482,x5484,x5485))
% 184.05/183.92 [549]~E(x5491,x5492)+E(f71(x5493,x5494,x5491,x5495),f71(x5493,x5494,x5492,x5495))
% 184.05/183.92 [550]~E(x5501,x5502)+E(f71(x5503,x5504,x5505,x5501),f71(x5503,x5504,x5505,x5502))
% 184.05/183.92 [551]~E(x5511,x5512)+E(f165(x5511),f165(x5512))
% 184.05/183.92 [552]~E(x5521,x5522)+E(f60(x5521,x5523,x5524,x5525,x5526),f60(x5522,x5523,x5524,x5525,x5526))
% 184.05/183.92 [553]~E(x5531,x5532)+E(f60(x5533,x5531,x5534,x5535,x5536),f60(x5533,x5532,x5534,x5535,x5536))
% 184.05/183.92 [554]~E(x5541,x5542)+E(f60(x5543,x5544,x5541,x5545,x5546),f60(x5543,x5544,x5542,x5545,x5546))
% 184.05/183.92 [555]~E(x5551,x5552)+E(f60(x5553,x5554,x5555,x5551,x5556),f60(x5553,x5554,x5555,x5552,x5556))
% 184.05/183.92 [556]~E(x5561,x5562)+E(f60(x5563,x5564,x5565,x5566,x5561),f60(x5563,x5564,x5565,x5566,x5562))
% 184.05/183.92 [557]~E(x5571,x5572)+E(f233(x5571,x5573,x5574),f233(x5572,x5573,x5574))
% 184.05/183.92 [558]~E(x5581,x5582)+E(f233(x5583,x5581,x5584),f233(x5583,x5582,x5584))
% 184.05/183.92 [559]~E(x5591,x5592)+E(f233(x5593,x5594,x5591),f233(x5593,x5594,x5592))
% 184.05/183.92 [560]~E(x5601,x5602)+E(f19(x5601,x5603,x5604,x5605),f19(x5602,x5603,x5604,x5605))
% 184.05/183.92 [561]~E(x5611,x5612)+E(f19(x5613,x5611,x5614,x5615),f19(x5613,x5612,x5614,x5615))
% 184.05/183.92 [562]~E(x5621,x5622)+E(f19(x5623,x5624,x5621,x5625),f19(x5623,x5624,x5622,x5625))
% 184.05/183.92 [563]~E(x5631,x5632)+E(f19(x5633,x5634,x5635,x5631),f19(x5633,x5634,x5635,x5632))
% 184.05/183.92 [564]~E(x5641,x5642)+E(f41(x5641,x5643),f41(x5642,x5643))
% 184.05/183.92 [565]~E(x5651,x5652)+E(f41(x5653,x5651),f41(x5653,x5652))
% 184.05/183.92 [566]~E(x5661,x5662)+E(f454(x5661,x5663,x5664),f454(x5662,x5663,x5664))
% 184.05/183.92 [567]~E(x5671,x5672)+E(f454(x5673,x5671,x5674),f454(x5673,x5672,x5674))
% 184.05/183.92 [568]~E(x5681,x5682)+E(f454(x5683,x5684,x5681),f454(x5683,x5684,x5682))
% 184.05/183.92 [569]~E(x5691,x5692)+E(f504(x5691,x5693,x5694,x5695,x5696,x5697,x5698),f504(x5692,x5693,x5694,x5695,x5696,x5697,x5698))
% 184.05/183.92 [570]~E(x5701,x5702)+E(f504(x5703,x5701,x5704,x5705,x5706,x5707,x5708),f504(x5703,x5702,x5704,x5705,x5706,x5707,x5708))
% 184.05/183.92 [571]~E(x5711,x5712)+E(f504(x5713,x5714,x5711,x5715,x5716,x5717,x5718),f504(x5713,x5714,x5712,x5715,x5716,x5717,x5718))
% 184.05/183.92 [572]~E(x5721,x5722)+E(f504(x5723,x5724,x5725,x5721,x5726,x5727,x5728),f504(x5723,x5724,x5725,x5722,x5726,x5727,x5728))
% 184.05/183.92 [573]~E(x5731,x5732)+E(f504(x5733,x5734,x5735,x5736,x5731,x5737,x5738),f504(x5733,x5734,x5735,x5736,x5732,x5737,x5738))
% 184.05/183.92 [574]~E(x5741,x5742)+E(f504(x5743,x5744,x5745,x5746,x5747,x5741,x5748),f504(x5743,x5744,x5745,x5746,x5747,x5742,x5748))
% 184.05/183.92 [575]~E(x5751,x5752)+E(f504(x5753,x5754,x5755,x5756,x5757,x5758,x5751),f504(x5753,x5754,x5755,x5756,x5757,x5758,x5752))
% 184.05/183.92 [576]~E(x5761,x5762)+E(f812(x5761,x5763,x5764,x5765,x5766),f812(x5762,x5763,x5764,x5765,x5766))
% 184.05/183.92 [577]~E(x5771,x5772)+E(f812(x5773,x5771,x5774,x5775,x5776),f812(x5773,x5772,x5774,x5775,x5776))
% 184.05/183.92 [578]~E(x5781,x5782)+E(f812(x5783,x5784,x5781,x5785,x5786),f812(x5783,x5784,x5782,x5785,x5786))
% 184.05/183.92 [579]~E(x5791,x5792)+E(f812(x5793,x5794,x5795,x5791,x5796),f812(x5793,x5794,x5795,x5792,x5796))
% 184.05/183.92 [580]~E(x5801,x5802)+E(f812(x5803,x5804,x5805,x5806,x5801),f812(x5803,x5804,x5805,x5806,x5802))
% 184.05/183.92 [581]~E(x5811,x5812)+E(f135(x5811,x5813),f135(x5812,x5813))
% 184.05/183.92 [582]~E(x5821,x5822)+E(f135(x5823,x5821),f135(x5823,x5822))
% 184.05/183.92 [583]~E(x5831,x5832)+E(f12(x5831,x5833),f12(x5832,x5833))
% 184.05/183.92 [584]~E(x5841,x5842)+E(f12(x5843,x5841),f12(x5843,x5842))
% 184.05/183.92 [585]~E(x5851,x5852)+E(f723(x5851,x5853,x5854,x5855),f723(x5852,x5853,x5854,x5855))
% 184.05/183.92 [586]~E(x5861,x5862)+E(f723(x5863,x5861,x5864,x5865),f723(x5863,x5862,x5864,x5865))
% 184.05/183.92 [587]~E(x5871,x5872)+E(f723(x5873,x5874,x5871,x5875),f723(x5873,x5874,x5872,x5875))
% 184.05/183.92 [588]~E(x5881,x5882)+E(f723(x5883,x5884,x5885,x5881),f723(x5883,x5884,x5885,x5882))
% 184.05/183.92 [589]~E(x5891,x5892)+E(f769(x5891,x5893,x5894),f769(x5892,x5893,x5894))
% 184.05/183.92 [590]~E(x5901,x5902)+E(f769(x5903,x5901,x5904),f769(x5903,x5902,x5904))
% 184.05/183.92 [591]~E(x5911,x5912)+E(f769(x5913,x5914,x5911),f769(x5913,x5914,x5912))
% 184.05/183.92 [592]~E(x5921,x5922)+E(f434(x5921,x5923,x5924),f434(x5922,x5923,x5924))
% 184.05/183.92 [593]~E(x5931,x5932)+E(f434(x5933,x5931,x5934),f434(x5933,x5932,x5934))
% 184.05/183.92 [594]~E(x5941,x5942)+E(f434(x5943,x5944,x5941),f434(x5943,x5944,x5942))
% 184.05/183.92 [595]~E(x5951,x5952)+E(f679(x5951,x5953,x5954,x5955),f679(x5952,x5953,x5954,x5955))
% 184.05/183.92 [596]~E(x5961,x5962)+E(f679(x5963,x5961,x5964,x5965),f679(x5963,x5962,x5964,x5965))
% 184.05/183.92 [597]~E(x5971,x5972)+E(f679(x5973,x5974,x5971,x5975),f679(x5973,x5974,x5972,x5975))
% 184.05/183.92 [598]~E(x5981,x5982)+E(f679(x5983,x5984,x5985,x5981),f679(x5983,x5984,x5985,x5982))
% 184.05/183.92 [599]~E(x5991,x5992)+E(f581(x5991,x5993,x5994,x5995,x5996,x5997,x5998,x5999),f581(x5992,x5993,x5994,x5995,x5996,x5997,x5998,x5999))
% 184.05/183.92 [600]~E(x6001,x6002)+E(f581(x6003,x6001,x6004,x6005,x6006,x6007,x6008,x6009),f581(x6003,x6002,x6004,x6005,x6006,x6007,x6008,x6009))
% 184.05/183.92 [601]~E(x6011,x6012)+E(f581(x6013,x6014,x6011,x6015,x6016,x6017,x6018,x6019),f581(x6013,x6014,x6012,x6015,x6016,x6017,x6018,x6019))
% 184.05/183.92 [602]~E(x6021,x6022)+E(f581(x6023,x6024,x6025,x6021,x6026,x6027,x6028,x6029),f581(x6023,x6024,x6025,x6022,x6026,x6027,x6028,x6029))
% 184.05/183.92 [603]~E(x6031,x6032)+E(f581(x6033,x6034,x6035,x6036,x6031,x6037,x6038,x6039),f581(x6033,x6034,x6035,x6036,x6032,x6037,x6038,x6039))
% 184.05/183.92 [604]~E(x6041,x6042)+E(f581(x6043,x6044,x6045,x6046,x6047,x6041,x6048,x6049),f581(x6043,x6044,x6045,x6046,x6047,x6042,x6048,x6049))
% 184.05/183.92 [605]~E(x6051,x6052)+E(f581(x6053,x6054,x6055,x6056,x6057,x6058,x6051,x6059),f581(x6053,x6054,x6055,x6056,x6057,x6058,x6052,x6059))
% 184.05/183.92 [606]~E(x6061,x6062)+E(f581(x6063,x6064,x6065,x6066,x6067,x6068,x6069,x6061),f581(x6063,x6064,x6065,x6066,x6067,x6068,x6069,x6062))
% 184.05/183.92 [607]~E(x6071,x6072)+E(f773(x6071,x6073),f773(x6072,x6073))
% 184.05/183.92 [608]~E(x6081,x6082)+E(f773(x6083,x6081),f773(x6083,x6082))
% 184.05/183.92 [609]~E(x6091,x6092)+E(f611(x6091,x6093,x6094,x6095,x6096),f611(x6092,x6093,x6094,x6095,x6096))
% 184.05/183.92 [610]~E(x6101,x6102)+E(f611(x6103,x6101,x6104,x6105,x6106),f611(x6103,x6102,x6104,x6105,x6106))
% 184.05/183.92 [611]~E(x6111,x6112)+E(f611(x6113,x6114,x6111,x6115,x6116),f611(x6113,x6114,x6112,x6115,x6116))
% 184.05/183.92 [612]~E(x6121,x6122)+E(f611(x6123,x6124,x6125,x6121,x6126),f611(x6123,x6124,x6125,x6122,x6126))
% 184.05/183.92 [613]~E(x6131,x6132)+E(f611(x6133,x6134,x6135,x6136,x6131),f611(x6133,x6134,x6135,x6136,x6132))
% 184.05/183.92 [614]~E(x6141,x6142)+E(f306(x6141,x6143),f306(x6142,x6143))
% 184.05/183.92 [615]~E(x6151,x6152)+E(f306(x6153,x6151),f306(x6153,x6152))
% 184.05/183.92 [616]~E(x6161,x6162)+E(f118(x6161,x6163),f118(x6162,x6163))
% 184.05/183.92 [617]~E(x6171,x6172)+E(f118(x6173,x6171),f118(x6173,x6172))
% 184.05/183.92 [618]~E(x6181,x6182)+E(f737(x6181,x6183,x6184),f737(x6182,x6183,x6184))
% 184.05/183.92 [619]~E(x6191,x6192)+E(f737(x6193,x6191,x6194),f737(x6193,x6192,x6194))
% 184.05/183.92 [620]~E(x6201,x6202)+E(f737(x6203,x6204,x6201),f737(x6203,x6204,x6202))
% 184.05/183.92 [621]~E(x6211,x6212)+E(f666(x6211,x6213,x6214,x6215),f666(x6212,x6213,x6214,x6215))
% 184.05/183.92 [622]~E(x6221,x6222)+E(f666(x6223,x6221,x6224,x6225),f666(x6223,x6222,x6224,x6225))
% 184.05/183.92 [623]~E(x6231,x6232)+E(f666(x6233,x6234,x6231,x6235),f666(x6233,x6234,x6232,x6235))
% 184.05/183.92 [624]~E(x6241,x6242)+E(f666(x6243,x6244,x6245,x6241),f666(x6243,x6244,x6245,x6242))
% 184.05/183.92 [625]~E(x6251,x6252)+E(f62(x6251,x6253,x6254),f62(x6252,x6253,x6254))
% 184.05/183.92 [626]~E(x6261,x6262)+E(f62(x6263,x6261,x6264),f62(x6263,x6262,x6264))
% 184.05/183.92 [627]~E(x6271,x6272)+E(f62(x6273,x6274,x6271),f62(x6273,x6274,x6272))
% 184.05/183.92 [628]~E(x6281,x6282)+E(f48(x6281,x6283),f48(x6282,x6283))
% 184.05/183.92 [629]~E(x6291,x6292)+E(f48(x6293,x6291),f48(x6293,x6292))
% 184.05/183.92 [630]~E(x6301,x6302)+E(f764(x6301,x6303),f764(x6302,x6303))
% 184.05/183.92 [631]~E(x6311,x6312)+E(f764(x6313,x6311),f764(x6313,x6312))
% 184.05/183.92 [632]~E(x6321,x6322)+E(f865(x6321,x6323),f865(x6322,x6323))
% 184.05/183.92 [633]~E(x6331,x6332)+E(f865(x6333,x6331),f865(x6333,x6332))
% 184.05/183.92 [634]~E(x6341,x6342)+E(f607(x6341,x6343),f607(x6342,x6343))
% 184.05/183.92 [635]~E(x6351,x6352)+E(f607(x6353,x6351),f607(x6353,x6352))
% 184.05/183.92 [636]~E(x6361,x6362)+E(f166(x6361,x6363,x6364),f166(x6362,x6363,x6364))
% 184.05/183.92 [637]~E(x6371,x6372)+E(f166(x6373,x6371,x6374),f166(x6373,x6372,x6374))
% 184.05/183.92 [638]~E(x6381,x6382)+E(f166(x6383,x6384,x6381),f166(x6383,x6384,x6382))
% 184.05/183.92 [639]~E(x6391,x6392)+E(f864(x6391,x6393),f864(x6392,x6393))
% 184.05/183.92 [640]~E(x6401,x6402)+E(f864(x6403,x6401),f864(x6403,x6402))
% 184.05/183.92 [641]~E(x6411,x6412)+E(f80(x6411,x6413),f80(x6412,x6413))
% 184.05/183.92 [642]~E(x6421,x6422)+E(f80(x6423,x6421),f80(x6423,x6422))
% 184.05/183.92 [643]~E(x6431,x6432)+E(f237(x6431,x6433,x6434),f237(x6432,x6433,x6434))
% 184.05/183.92 [644]~E(x6441,x6442)+E(f237(x6443,x6441,x6444),f237(x6443,x6442,x6444))
% 184.05/183.92 [645]~E(x6451,x6452)+E(f237(x6453,x6454,x6451),f237(x6453,x6454,x6452))
% 184.05/183.92 [646]~E(x6461,x6462)+E(f789(x6461,x6463,x6464),f789(x6462,x6463,x6464))
% 184.05/183.92 [647]~E(x6471,x6472)+E(f789(x6473,x6471,x6474),f789(x6473,x6472,x6474))
% 184.05/183.92 [648]~E(x6481,x6482)+E(f789(x6483,x6484,x6481),f789(x6483,x6484,x6482))
% 184.05/183.92 [649]~E(x6491,x6492)+E(f561(x6491,x6493,x6494,x6495),f561(x6492,x6493,x6494,x6495))
% 184.05/183.92 [650]~E(x6501,x6502)+E(f561(x6503,x6501,x6504,x6505),f561(x6503,x6502,x6504,x6505))
% 184.05/183.92 [651]~E(x6511,x6512)+E(f561(x6513,x6514,x6511,x6515),f561(x6513,x6514,x6512,x6515))
% 184.05/183.92 [652]~E(x6521,x6522)+E(f561(x6523,x6524,x6525,x6521),f561(x6523,x6524,x6525,x6522))
% 184.05/183.92 [653]~E(x6531,x6532)+E(f38(x6531),f38(x6532))
% 184.05/183.92 [654]~E(x6541,x6542)+E(f570(x6541,x6543),f570(x6542,x6543))
% 184.05/183.92 [655]~E(x6551,x6552)+E(f570(x6553,x6551),f570(x6553,x6552))
% 184.05/183.92 [656]~E(x6561,x6562)+E(f876(x6561,x6563,x6564),f876(x6562,x6563,x6564))
% 184.05/183.92 [657]~E(x6571,x6572)+E(f876(x6573,x6571,x6574),f876(x6573,x6572,x6574))
% 184.05/183.92 [658]~E(x6581,x6582)+E(f876(x6583,x6584,x6581),f876(x6583,x6584,x6582))
% 184.05/183.92 [659]~E(x6591,x6592)+E(f820(x6591,x6593,x6594,x6595,x6596,x6597,x6598,x6599),f820(x6592,x6593,x6594,x6595,x6596,x6597,x6598,x6599))
% 184.05/183.92 [660]~E(x6601,x6602)+E(f820(x6603,x6601,x6604,x6605,x6606,x6607,x6608,x6609),f820(x6603,x6602,x6604,x6605,x6606,x6607,x6608,x6609))
% 184.05/183.92 [661]~E(x6611,x6612)+E(f820(x6613,x6614,x6611,x6615,x6616,x6617,x6618,x6619),f820(x6613,x6614,x6612,x6615,x6616,x6617,x6618,x6619))
% 184.05/183.92 [662]~E(x6621,x6622)+E(f820(x6623,x6624,x6625,x6621,x6626,x6627,x6628,x6629),f820(x6623,x6624,x6625,x6622,x6626,x6627,x6628,x6629))
% 184.05/183.92 [663]~E(x6631,x6632)+E(f820(x6633,x6634,x6635,x6636,x6631,x6637,x6638,x6639),f820(x6633,x6634,x6635,x6636,x6632,x6637,x6638,x6639))
% 184.05/183.92 [664]~E(x6641,x6642)+E(f820(x6643,x6644,x6645,x6646,x6647,x6641,x6648,x6649),f820(x6643,x6644,x6645,x6646,x6647,x6642,x6648,x6649))
% 184.05/183.92 [665]~E(x6651,x6652)+E(f820(x6653,x6654,x6655,x6656,x6657,x6658,x6651,x6659),f820(x6653,x6654,x6655,x6656,x6657,x6658,x6652,x6659))
% 184.05/183.92 [666]~E(x6661,x6662)+E(f820(x6663,x6664,x6665,x6666,x6667,x6668,x6669,x6661),f820(x6663,x6664,x6665,x6666,x6667,x6668,x6669,x6662))
% 184.05/183.92 [667]~E(x6671,x6672)+E(f148(x6671,x6673),f148(x6672,x6673))
% 184.05/183.92 [668]~E(x6681,x6682)+E(f148(x6683,x6681),f148(x6683,x6682))
% 184.05/183.92 [669]~E(x6691,x6692)+E(f245(x6691,x6693,x6694,x6695),f245(x6692,x6693,x6694,x6695))
% 184.05/183.92 [670]~E(x6701,x6702)+E(f245(x6703,x6701,x6704,x6705),f245(x6703,x6702,x6704,x6705))
% 184.05/183.92 [671]~E(x6711,x6712)+E(f245(x6713,x6714,x6711,x6715),f245(x6713,x6714,x6712,x6715))
% 184.05/183.92 [672]~E(x6721,x6722)+E(f245(x6723,x6724,x6725,x6721),f245(x6723,x6724,x6725,x6722))
% 184.05/183.92 [673]~E(x6731,x6732)+E(f829(x6731,x6733,x6734,x6735,x6736,x6737),f829(x6732,x6733,x6734,x6735,x6736,x6737))
% 184.05/183.92 [674]~E(x6741,x6742)+E(f829(x6743,x6741,x6744,x6745,x6746,x6747),f829(x6743,x6742,x6744,x6745,x6746,x6747))
% 184.05/183.92 [675]~E(x6751,x6752)+E(f829(x6753,x6754,x6751,x6755,x6756,x6757),f829(x6753,x6754,x6752,x6755,x6756,x6757))
% 184.05/183.92 [676]~E(x6761,x6762)+E(f829(x6763,x6764,x6765,x6761,x6766,x6767),f829(x6763,x6764,x6765,x6762,x6766,x6767))
% 184.05/183.92 [677]~E(x6771,x6772)+E(f829(x6773,x6774,x6775,x6776,x6771,x6777),f829(x6773,x6774,x6775,x6776,x6772,x6777))
% 184.05/183.92 [678]~E(x6781,x6782)+E(f829(x6783,x6784,x6785,x6786,x6787,x6781),f829(x6783,x6784,x6785,x6786,x6787,x6782))
% 184.05/183.92 [679]~E(x6791,x6792)+E(f262(x6791,x6793),f262(x6792,x6793))
% 184.05/183.92 [680]~E(x6801,x6802)+E(f262(x6803,x6801),f262(x6803,x6802))
% 184.05/183.92 [681]~E(x6811,x6812)+E(f780(x6811,x6813,x6814,x6815),f780(x6812,x6813,x6814,x6815))
% 184.05/183.92 [682]~E(x6821,x6822)+E(f780(x6823,x6821,x6824,x6825),f780(x6823,x6822,x6824,x6825))
% 184.05/183.92 [683]~E(x6831,x6832)+E(f780(x6833,x6834,x6831,x6835),f780(x6833,x6834,x6832,x6835))
% 184.05/183.92 [684]~E(x6841,x6842)+E(f780(x6843,x6844,x6845,x6841),f780(x6843,x6844,x6845,x6842))
% 184.05/183.92 [685]~E(x6851,x6852)+E(f832(x6851,x6853,x6854,x6855,x6856,x6857,x6858,x6859),f832(x6852,x6853,x6854,x6855,x6856,x6857,x6858,x6859))
% 184.05/183.92 [686]~E(x6861,x6862)+E(f832(x6863,x6861,x6864,x6865,x6866,x6867,x6868,x6869),f832(x6863,x6862,x6864,x6865,x6866,x6867,x6868,x6869))
% 184.05/183.92 [687]~E(x6871,x6872)+E(f832(x6873,x6874,x6871,x6875,x6876,x6877,x6878,x6879),f832(x6873,x6874,x6872,x6875,x6876,x6877,x6878,x6879))
% 184.05/183.92 [688]~E(x6881,x6882)+E(f832(x6883,x6884,x6885,x6881,x6886,x6887,x6888,x6889),f832(x6883,x6884,x6885,x6882,x6886,x6887,x6888,x6889))
% 184.05/183.92 [689]~E(x6891,x6892)+E(f832(x6893,x6894,x6895,x6896,x6891,x6897,x6898,x6899),f832(x6893,x6894,x6895,x6896,x6892,x6897,x6898,x6899))
% 184.05/183.92 [690]~E(x6901,x6902)+E(f832(x6903,x6904,x6905,x6906,x6907,x6901,x6908,x6909),f832(x6903,x6904,x6905,x6906,x6907,x6902,x6908,x6909))
% 184.05/183.92 [691]~E(x6911,x6912)+E(f832(x6913,x6914,x6915,x6916,x6917,x6918,x6911,x6919),f832(x6913,x6914,x6915,x6916,x6917,x6918,x6912,x6919))
% 184.05/183.92 [692]~E(x6921,x6922)+E(f832(x6923,x6924,x6925,x6926,x6927,x6928,x6929,x6921),f832(x6923,x6924,x6925,x6926,x6927,x6928,x6929,x6922))
% 184.05/183.92 [693]~E(x6931,x6932)+E(f739(x6931,x6933,x6934),f739(x6932,x6933,x6934))
% 184.05/183.92 [694]~E(x6941,x6942)+E(f739(x6943,x6941,x6944),f739(x6943,x6942,x6944))
% 184.05/183.92 [695]~E(x6951,x6952)+E(f739(x6953,x6954,x6951),f739(x6953,x6954,x6952))
% 184.05/183.92 [696]~E(x6961,x6962)+E(f160(x6961,x6963,x6964),f160(x6962,x6963,x6964))
% 184.05/183.92 [697]~E(x6971,x6972)+E(f160(x6973,x6971,x6974),f160(x6973,x6972,x6974))
% 184.05/183.92 [698]~E(x6981,x6982)+E(f160(x6983,x6984,x6981),f160(x6983,x6984,x6982))
% 184.05/183.92 [699]~E(x6991,x6992)+E(f677(x6991,x6993,x6994,x6995,x6996),f677(x6992,x6993,x6994,x6995,x6996))
% 184.05/183.92 [700]~E(x7001,x7002)+E(f677(x7003,x7001,x7004,x7005,x7006),f677(x7003,x7002,x7004,x7005,x7006))
% 184.05/183.92 [701]~E(x7011,x7012)+E(f677(x7013,x7014,x7011,x7015,x7016),f677(x7013,x7014,x7012,x7015,x7016))
% 184.05/183.92 [702]~E(x7021,x7022)+E(f677(x7023,x7024,x7025,x7021,x7026),f677(x7023,x7024,x7025,x7022,x7026))
% 184.05/183.92 [703]~E(x7031,x7032)+E(f677(x7033,x7034,x7035,x7036,x7031),f677(x7033,x7034,x7035,x7036,x7032))
% 184.05/183.92 [704]~E(x7041,x7042)+E(f52(x7041),f52(x7042))
% 184.05/183.92 [705]~E(x7051,x7052)+E(f713(x7051,x7053),f713(x7052,x7053))
% 184.05/183.92 [706]~E(x7061,x7062)+E(f713(x7063,x7061),f713(x7063,x7062))
% 184.05/183.92 [707]~E(x7071,x7072)+E(f260(x7071,x7073),f260(x7072,x7073))
% 184.05/183.92 [708]~E(x7081,x7082)+E(f260(x7083,x7081),f260(x7083,x7082))
% 184.05/183.92 [709]~E(x7091,x7092)+E(f238(x7091,x7093),f238(x7092,x7093))
% 184.05/183.92 [710]~E(x7101,x7102)+E(f238(x7103,x7101),f238(x7103,x7102))
% 184.05/183.92 [711]~E(x7111,x7112)+E(f240(x7111,x7113,x7114),f240(x7112,x7113,x7114))
% 184.05/183.92 [712]~E(x7121,x7122)+E(f240(x7123,x7121,x7124),f240(x7123,x7122,x7124))
% 184.05/183.92 [713]~E(x7131,x7132)+E(f240(x7133,x7134,x7131),f240(x7133,x7134,x7132))
% 184.05/183.92 [714]~E(x7141,x7142)+E(f754(x7141,x7143,x7144),f754(x7142,x7143,x7144))
% 184.05/183.92 [715]~E(x7151,x7152)+E(f754(x7153,x7151,x7154),f754(x7153,x7152,x7154))
% 184.05/183.92 [716]~E(x7161,x7162)+E(f754(x7163,x7164,x7161),f754(x7163,x7164,x7162))
% 184.05/183.92 [717]~E(x7171,x7172)+E(f510(x7171,x7173,x7174,x7175),f510(x7172,x7173,x7174,x7175))
% 184.05/183.92 [718]~E(x7181,x7182)+E(f510(x7183,x7181,x7184,x7185),f510(x7183,x7182,x7184,x7185))
% 184.05/183.92 [719]~E(x7191,x7192)+E(f510(x7193,x7194,x7191,x7195),f510(x7193,x7194,x7192,x7195))
% 184.05/183.92 [720]~E(x7201,x7202)+E(f510(x7203,x7204,x7205,x7201),f510(x7203,x7204,x7205,x7202))
% 184.05/183.92 [721]~E(x7211,x7212)+E(f755(x7211,x7213,x7214,x7215,x7216),f755(x7212,x7213,x7214,x7215,x7216))
% 184.05/183.92 [722]~E(x7221,x7222)+E(f755(x7223,x7221,x7224,x7225,x7226),f755(x7223,x7222,x7224,x7225,x7226))
% 184.05/183.92 [723]~E(x7231,x7232)+E(f755(x7233,x7234,x7231,x7235,x7236),f755(x7233,x7234,x7232,x7235,x7236))
% 184.05/183.92 [724]~E(x7241,x7242)+E(f755(x7243,x7244,x7245,x7241,x7246),f755(x7243,x7244,x7245,x7242,x7246))
% 184.05/183.92 [725]~E(x7251,x7252)+E(f755(x7253,x7254,x7255,x7256,x7251),f755(x7253,x7254,x7255,x7256,x7252))
% 184.05/183.92 [726]~E(x7261,x7262)+E(f652(x7261,x7263),f652(x7262,x7263))
% 184.05/183.92 [727]~E(x7271,x7272)+E(f652(x7273,x7271),f652(x7273,x7272))
% 184.05/183.92 [728]~E(x7281,x7282)+E(f69(x7281,x7283,x7284,x7285,x7286),f69(x7282,x7283,x7284,x7285,x7286))
% 184.05/183.92 [729]~E(x7291,x7292)+E(f69(x7293,x7291,x7294,x7295,x7296),f69(x7293,x7292,x7294,x7295,x7296))
% 184.05/183.92 [730]~E(x7301,x7302)+E(f69(x7303,x7304,x7301,x7305,x7306),f69(x7303,x7304,x7302,x7305,x7306))
% 184.05/183.92 [731]~E(x7311,x7312)+E(f69(x7313,x7314,x7315,x7311,x7316),f69(x7313,x7314,x7315,x7312,x7316))
% 184.05/183.92 [732]~E(x7321,x7322)+E(f69(x7323,x7324,x7325,x7326,x7321),f69(x7323,x7324,x7325,x7326,x7322))
% 184.05/183.92 [733]~E(x7331,x7332)+E(f140(x7331,x7333,x7334,x7335),f140(x7332,x7333,x7334,x7335))
% 184.05/183.92 [734]~E(x7341,x7342)+E(f140(x7343,x7341,x7344,x7345),f140(x7343,x7342,x7344,x7345))
% 184.05/183.92 [735]~E(x7351,x7352)+E(f140(x7353,x7354,x7351,x7355),f140(x7353,x7354,x7352,x7355))
% 184.05/183.92 [736]~E(x7361,x7362)+E(f140(x7363,x7364,x7365,x7361),f140(x7363,x7364,x7365,x7362))
% 184.05/183.92 [737]~E(x7371,x7372)+E(f278(x7371,x7373),f278(x7372,x7373))
% 184.05/183.92 [738]~E(x7381,x7382)+E(f278(x7383,x7381),f278(x7383,x7382))
% 184.05/183.92 [739]~E(x7391,x7392)+E(f291(x7391),f291(x7392))
% 184.05/183.92 [740]~E(x7401,x7402)+E(f500(x7401,x7403,x7404,x7405,x7406,x7407,x7408),f500(x7402,x7403,x7404,x7405,x7406,x7407,x7408))
% 184.05/183.92 [741]~E(x7411,x7412)+E(f500(x7413,x7411,x7414,x7415,x7416,x7417,x7418),f500(x7413,x7412,x7414,x7415,x7416,x7417,x7418))
% 184.05/183.92 [742]~E(x7421,x7422)+E(f500(x7423,x7424,x7421,x7425,x7426,x7427,x7428),f500(x7423,x7424,x7422,x7425,x7426,x7427,x7428))
% 184.05/183.92 [743]~E(x7431,x7432)+E(f500(x7433,x7434,x7435,x7431,x7436,x7437,x7438),f500(x7433,x7434,x7435,x7432,x7436,x7437,x7438))
% 184.05/183.92 [744]~E(x7441,x7442)+E(f500(x7443,x7444,x7445,x7446,x7441,x7447,x7448),f500(x7443,x7444,x7445,x7446,x7442,x7447,x7448))
% 184.05/183.92 [745]~E(x7451,x7452)+E(f500(x7453,x7454,x7455,x7456,x7457,x7451,x7458),f500(x7453,x7454,x7455,x7456,x7457,x7452,x7458))
% 184.05/183.92 [746]~E(x7461,x7462)+E(f500(x7463,x7464,x7465,x7466,x7467,x7468,x7461),f500(x7463,x7464,x7465,x7466,x7467,x7468,x7462))
% 184.05/183.92 [747]~E(x7471,x7472)+E(f174(x7471,x7473,x7474),f174(x7472,x7473,x7474))
% 184.05/183.92 [748]~E(x7481,x7482)+E(f174(x7483,x7481,x7484),f174(x7483,x7482,x7484))
% 184.05/183.92 [749]~E(x7491,x7492)+E(f174(x7493,x7494,x7491),f174(x7493,x7494,x7492))
% 184.05/183.92 [750]~E(x7501,x7502)+E(f453(x7501,x7503,x7504),f453(x7502,x7503,x7504))
% 184.05/183.92 [751]~E(x7511,x7512)+E(f453(x7513,x7511,x7514),f453(x7513,x7512,x7514))
% 184.05/183.92 [752]~E(x7521,x7522)+E(f453(x7523,x7524,x7521),f453(x7523,x7524,x7522))
% 184.05/183.92 [753]~E(x7531,x7532)+E(f774(x7531,x7533),f774(x7532,x7533))
% 184.05/183.92 [754]~E(x7541,x7542)+E(f774(x7543,x7541),f774(x7543,x7542))
% 184.05/183.92 [755]~E(x7551,x7552)+E(f843(x7551,x7553,x7554,x7555,x7556,x7557,x7558),f843(x7552,x7553,x7554,x7555,x7556,x7557,x7558))
% 184.05/183.92 [756]~E(x7561,x7562)+E(f843(x7563,x7561,x7564,x7565,x7566,x7567,x7568),f843(x7563,x7562,x7564,x7565,x7566,x7567,x7568))
% 184.05/183.92 [757]~E(x7571,x7572)+E(f843(x7573,x7574,x7571,x7575,x7576,x7577,x7578),f843(x7573,x7574,x7572,x7575,x7576,x7577,x7578))
% 184.05/183.92 [758]~E(x7581,x7582)+E(f843(x7583,x7584,x7585,x7581,x7586,x7587,x7588),f843(x7583,x7584,x7585,x7582,x7586,x7587,x7588))
% 184.05/183.92 [759]~E(x7591,x7592)+E(f843(x7593,x7594,x7595,x7596,x7591,x7597,x7598),f843(x7593,x7594,x7595,x7596,x7592,x7597,x7598))
% 184.05/183.92 [760]~E(x7601,x7602)+E(f843(x7603,x7604,x7605,x7606,x7607,x7601,x7608),f843(x7603,x7604,x7605,x7606,x7607,x7602,x7608))
% 184.05/183.92 [761]~E(x7611,x7612)+E(f843(x7613,x7614,x7615,x7616,x7617,x7618,x7611),f843(x7613,x7614,x7615,x7616,x7617,x7618,x7612))
% 184.05/183.92 [762]~E(x7621,x7622)+E(f715(x7621,x7623,x7624,x7625,x7626,x7627,x7628,x7629),f715(x7622,x7623,x7624,x7625,x7626,x7627,x7628,x7629))
% 184.05/183.92 [763]~E(x7631,x7632)+E(f715(x7633,x7631,x7634,x7635,x7636,x7637,x7638,x7639),f715(x7633,x7632,x7634,x7635,x7636,x7637,x7638,x7639))
% 184.05/183.92 [764]~E(x7641,x7642)+E(f715(x7643,x7644,x7641,x7645,x7646,x7647,x7648,x7649),f715(x7643,x7644,x7642,x7645,x7646,x7647,x7648,x7649))
% 184.05/183.92 [765]~E(x7651,x7652)+E(f715(x7653,x7654,x7655,x7651,x7656,x7657,x7658,x7659),f715(x7653,x7654,x7655,x7652,x7656,x7657,x7658,x7659))
% 184.05/183.92 [766]~E(x7661,x7662)+E(f715(x7663,x7664,x7665,x7666,x7661,x7667,x7668,x7669),f715(x7663,x7664,x7665,x7666,x7662,x7667,x7668,x7669))
% 184.05/183.92 [767]~E(x7671,x7672)+E(f715(x7673,x7674,x7675,x7676,x7677,x7671,x7678,x7679),f715(x7673,x7674,x7675,x7676,x7677,x7672,x7678,x7679))
% 184.05/183.92 [768]~E(x7681,x7682)+E(f715(x7683,x7684,x7685,x7686,x7687,x7688,x7681,x7689),f715(x7683,x7684,x7685,x7686,x7687,x7688,x7682,x7689))
% 184.05/183.92 [769]~E(x7691,x7692)+E(f715(x7693,x7694,x7695,x7696,x7697,x7698,x7699,x7691),f715(x7693,x7694,x7695,x7696,x7697,x7698,x7699,x7692))
% 184.05/183.92 [770]~E(x7701,x7702)+E(f352(x7701,x7703),f352(x7702,x7703))
% 184.05/183.92 [771]~E(x7711,x7712)+E(f352(x7713,x7711),f352(x7713,x7712))
% 184.05/183.92 [772]~E(x7721,x7722)+E(f266(x7721,x7723,x7724,x7725),f266(x7722,x7723,x7724,x7725))
% 184.05/183.92 [773]~E(x7731,x7732)+E(f266(x7733,x7731,x7734,x7735),f266(x7733,x7732,x7734,x7735))
% 184.05/183.92 [774]~E(x7741,x7742)+E(f266(x7743,x7744,x7741,x7745),f266(x7743,x7744,x7742,x7745))
% 184.05/183.92 [775]~E(x7751,x7752)+E(f266(x7753,x7754,x7755,x7751),f266(x7753,x7754,x7755,x7752))
% 184.05/183.92 [776]~E(x7761,x7762)+E(f355(x7761,x7763),f355(x7762,x7763))
% 184.05/183.92 [777]~E(x7771,x7772)+E(f355(x7773,x7771),f355(x7773,x7772))
% 184.05/183.92 [778]~E(x7781,x7782)+E(f369(x7781,x7783,x7784,x7785),f369(x7782,x7783,x7784,x7785))
% 184.05/183.92 [779]~E(x7791,x7792)+E(f369(x7793,x7791,x7794,x7795),f369(x7793,x7792,x7794,x7795))
% 184.05/183.92 [780]~E(x7801,x7802)+E(f369(x7803,x7804,x7801,x7805),f369(x7803,x7804,x7802,x7805))
% 184.05/183.92 [781]~E(x7811,x7812)+E(f369(x7813,x7814,x7815,x7811),f369(x7813,x7814,x7815,x7812))
% 184.05/183.92 [782]~E(x7821,x7822)+E(f345(x7821,x7823,x7824,x7825),f345(x7822,x7823,x7824,x7825))
% 184.05/183.92 [783]~E(x7831,x7832)+E(f345(x7833,x7831,x7834,x7835),f345(x7833,x7832,x7834,x7835))
% 184.05/183.92 [784]~E(x7841,x7842)+E(f345(x7843,x7844,x7841,x7845),f345(x7843,x7844,x7842,x7845))
% 184.05/183.92 [785]~E(x7851,x7852)+E(f345(x7853,x7854,x7855,x7851),f345(x7853,x7854,x7855,x7852))
% 184.05/183.92 [786]~E(x7861,x7862)+E(f419(x7861,x7863,x7864),f419(x7862,x7863,x7864))
% 184.05/183.92 [787]~E(x7871,x7872)+E(f419(x7873,x7871,x7874),f419(x7873,x7872,x7874))
% 184.05/183.92 [788]~E(x7881,x7882)+E(f419(x7883,x7884,x7881),f419(x7883,x7884,x7882))
% 184.05/183.92 [789]~E(x7891,x7892)+E(f332(x7891,x7893),f332(x7892,x7893))
% 184.05/183.92 [790]~E(x7901,x7902)+E(f332(x7903,x7901),f332(x7903,x7902))
% 184.05/183.92 [791]~E(x7911,x7912)+E(f498(x7911),f498(x7912))
% 184.05/183.92 [792]~E(x7921,x7922)+E(f730(x7921,x7923,x7924,x7925,x7926,x7927,x7928),f730(x7922,x7923,x7924,x7925,x7926,x7927,x7928))
% 184.05/183.92 [793]~E(x7931,x7932)+E(f730(x7933,x7931,x7934,x7935,x7936,x7937,x7938),f730(x7933,x7932,x7934,x7935,x7936,x7937,x7938))
% 184.05/183.92 [794]~E(x7941,x7942)+E(f730(x7943,x7944,x7941,x7945,x7946,x7947,x7948),f730(x7943,x7944,x7942,x7945,x7946,x7947,x7948))
% 184.05/183.92 [795]~E(x7951,x7952)+E(f730(x7953,x7954,x7955,x7951,x7956,x7957,x7958),f730(x7953,x7954,x7955,x7952,x7956,x7957,x7958))
% 184.05/183.92 [796]~E(x7961,x7962)+E(f730(x7963,x7964,x7965,x7966,x7961,x7967,x7968),f730(x7963,x7964,x7965,x7966,x7962,x7967,x7968))
% 184.05/183.92 [797]~E(x7971,x7972)+E(f730(x7973,x7974,x7975,x7976,x7977,x7971,x7978),f730(x7973,x7974,x7975,x7976,x7977,x7972,x7978))
% 184.05/183.92 [798]~E(x7981,x7982)+E(f730(x7983,x7984,x7985,x7986,x7987,x7988,x7981),f730(x7983,x7984,x7985,x7986,x7987,x7988,x7982))
% 184.05/183.92 [799]~E(x7991,x7992)+E(f263(x7991,x7993,x7994,x7995),f263(x7992,x7993,x7994,x7995))
% 184.05/183.92 [800]~E(x8001,x8002)+E(f263(x8003,x8001,x8004,x8005),f263(x8003,x8002,x8004,x8005))
% 184.05/183.92 [801]~E(x8011,x8012)+E(f263(x8013,x8014,x8011,x8015),f263(x8013,x8014,x8012,x8015))
% 184.05/183.92 [802]~E(x8021,x8022)+E(f263(x8023,x8024,x8025,x8021),f263(x8023,x8024,x8025,x8022))
% 184.05/183.92 [803]~E(x8031,x8032)+E(f862(x8031,x8033,x8034),f862(x8032,x8033,x8034))
% 184.05/183.92 [804]~E(x8041,x8042)+E(f862(x8043,x8041,x8044),f862(x8043,x8042,x8044))
% 184.05/183.92 [805]~E(x8051,x8052)+E(f862(x8053,x8054,x8051),f862(x8053,x8054,x8052))
% 184.05/183.92 [806]~E(x8061,x8062)+E(f137(x8061,x8063),f137(x8062,x8063))
% 184.05/183.92 [807]~E(x8071,x8072)+E(f137(x8073,x8071),f137(x8073,x8072))
% 184.05/183.92 [808]~E(x8081,x8082)+E(f838(x8081,x8083,x8084,x8085,x8086,x8087),f838(x8082,x8083,x8084,x8085,x8086,x8087))
% 184.05/183.92 [809]~E(x8091,x8092)+E(f838(x8093,x8091,x8094,x8095,x8096,x8097),f838(x8093,x8092,x8094,x8095,x8096,x8097))
% 184.05/183.92 [810]~E(x8101,x8102)+E(f838(x8103,x8104,x8101,x8105,x8106,x8107),f838(x8103,x8104,x8102,x8105,x8106,x8107))
% 184.05/183.92 [811]~E(x8111,x8112)+E(f838(x8113,x8114,x8115,x8111,x8116,x8117),f838(x8113,x8114,x8115,x8112,x8116,x8117))
% 184.05/183.92 [812]~E(x8121,x8122)+E(f838(x8123,x8124,x8125,x8126,x8121,x8127),f838(x8123,x8124,x8125,x8126,x8122,x8127))
% 184.05/183.92 [813]~E(x8131,x8132)+E(f838(x8133,x8134,x8135,x8136,x8137,x8131),f838(x8133,x8134,x8135,x8136,x8137,x8132))
% 184.05/183.92 [814]~E(x8141,x8142)+E(f175(x8141,x8143,x8144,x8145),f175(x8142,x8143,x8144,x8145))
% 184.05/183.92 [815]~E(x8151,x8152)+E(f175(x8153,x8151,x8154,x8155),f175(x8153,x8152,x8154,x8155))
% 184.05/183.92 [816]~E(x8161,x8162)+E(f175(x8163,x8164,x8161,x8165),f175(x8163,x8164,x8162,x8165))
% 184.05/183.92 [817]~E(x8171,x8172)+E(f175(x8173,x8174,x8175,x8171),f175(x8173,x8174,x8175,x8172))
% 184.05/183.92 [818]~E(x8181,x8182)+E(f202(x8181),f202(x8182))
% 184.05/183.92 [819]~E(x8191,x8192)+E(f121(x8191,x8193,x8194,x8195),f121(x8192,x8193,x8194,x8195))
% 184.05/183.92 [820]~E(x8201,x8202)+E(f121(x8203,x8201,x8204,x8205),f121(x8203,x8202,x8204,x8205))
% 184.05/183.92 [821]~E(x8211,x8212)+E(f121(x8213,x8214,x8211,x8215),f121(x8213,x8214,x8212,x8215))
% 184.05/183.92 [822]~E(x8221,x8222)+E(f121(x8223,x8224,x8225,x8221),f121(x8223,x8224,x8225,x8222))
% 184.05/183.92 [823]~E(x8231,x8232)+E(f839(x8231,x8233,x8234),f839(x8232,x8233,x8234))
% 184.05/183.92 [824]~E(x8241,x8242)+E(f839(x8243,x8241,x8244),f839(x8243,x8242,x8244))
% 184.05/183.92 [825]~E(x8251,x8252)+E(f839(x8253,x8254,x8251),f839(x8253,x8254,x8252))
% 184.05/183.92 [826]~E(x8261,x8262)+E(f879(x8261,x8263,x8264,x8265,x8266),f879(x8262,x8263,x8264,x8265,x8266))
% 184.05/183.92 [827]~E(x8271,x8272)+E(f879(x8273,x8271,x8274,x8275,x8276),f879(x8273,x8272,x8274,x8275,x8276))
% 184.05/183.92 [828]~E(x8281,x8282)+E(f879(x8283,x8284,x8281,x8285,x8286),f879(x8283,x8284,x8282,x8285,x8286))
% 184.05/183.92 [829]~E(x8291,x8292)+E(f879(x8293,x8294,x8295,x8291,x8296),f879(x8293,x8294,x8295,x8292,x8296))
% 184.05/183.92 [830]~E(x8301,x8302)+E(f879(x8303,x8304,x8305,x8306,x8301),f879(x8303,x8304,x8305,x8306,x8302))
% 184.05/183.92 [831]~E(x8311,x8312)+E(f760(x8311,x8313,x8314,x8315),f760(x8312,x8313,x8314,x8315))
% 184.05/183.92 [832]~E(x8321,x8322)+E(f760(x8323,x8321,x8324,x8325),f760(x8323,x8322,x8324,x8325))
% 184.05/183.92 [833]~E(x8331,x8332)+E(f760(x8333,x8334,x8331,x8335),f760(x8333,x8334,x8332,x8335))
% 184.05/183.92 [834]~E(x8341,x8342)+E(f760(x8343,x8344,x8345,x8341),f760(x8343,x8344,x8345,x8342))
% 184.05/183.92 [835]~E(x8351,x8352)+E(f133(x8351,x8353),f133(x8352,x8353))
% 184.05/183.92 [836]~E(x8361,x8362)+E(f133(x8363,x8361),f133(x8363,x8362))
% 184.05/183.92 [837]~E(x8371,x8372)+E(f854(x8371,x8373,x8374,x8375),f854(x8372,x8373,x8374,x8375))
% 184.05/183.92 [838]~E(x8381,x8382)+E(f854(x8383,x8381,x8384,x8385),f854(x8383,x8382,x8384,x8385))
% 184.05/183.92 [839]~E(x8391,x8392)+E(f854(x8393,x8394,x8391,x8395),f854(x8393,x8394,x8392,x8395))
% 184.05/183.92 [840]~E(x8401,x8402)+E(f854(x8403,x8404,x8405,x8401),f854(x8403,x8404,x8405,x8402))
% 184.05/183.92 [841]~E(x8411,x8412)+E(f535(x8411,x8413,x8414,x8415),f535(x8412,x8413,x8414,x8415))
% 184.05/183.92 [842]~E(x8421,x8422)+E(f535(x8423,x8421,x8424,x8425),f535(x8423,x8422,x8424,x8425))
% 184.05/183.92 [843]~E(x8431,x8432)+E(f535(x8433,x8434,x8431,x8435),f535(x8433,x8434,x8432,x8435))
% 184.05/183.92 [844]~E(x8441,x8442)+E(f535(x8443,x8444,x8445,x8441),f535(x8443,x8444,x8445,x8442))
% 184.05/183.92 [845]~E(x8451,x8452)+E(f767(x8451,x8453,x8454),f767(x8452,x8453,x8454))
% 184.05/183.92 [846]~E(x8461,x8462)+E(f767(x8463,x8461,x8464),f767(x8463,x8462,x8464))
% 184.05/183.92 [847]~E(x8471,x8472)+E(f767(x8473,x8474,x8471),f767(x8473,x8474,x8472))
% 184.05/183.92 [848]~E(x8481,x8482)+E(f729(x8481,x8483,x8484,x8485,x8486,x8487,x8488),f729(x8482,x8483,x8484,x8485,x8486,x8487,x8488))
% 184.05/183.92 [849]~E(x8491,x8492)+E(f729(x8493,x8491,x8494,x8495,x8496,x8497,x8498),f729(x8493,x8492,x8494,x8495,x8496,x8497,x8498))
% 184.05/183.92 [850]~E(x8501,x8502)+E(f729(x8503,x8504,x8501,x8505,x8506,x8507,x8508),f729(x8503,x8504,x8502,x8505,x8506,x8507,x8508))
% 184.05/183.92 [851]~E(x8511,x8512)+E(f729(x8513,x8514,x8515,x8511,x8516,x8517,x8518),f729(x8513,x8514,x8515,x8512,x8516,x8517,x8518))
% 184.05/183.92 [852]~E(x8521,x8522)+E(f729(x8523,x8524,x8525,x8526,x8521,x8527,x8528),f729(x8523,x8524,x8525,x8526,x8522,x8527,x8528))
% 184.05/183.92 [853]~E(x8531,x8532)+E(f729(x8533,x8534,x8535,x8536,x8537,x8531,x8538),f729(x8533,x8534,x8535,x8536,x8537,x8532,x8538))
% 184.05/183.92 [854]~E(x8541,x8542)+E(f729(x8543,x8544,x8545,x8546,x8547,x8548,x8541),f729(x8543,x8544,x8545,x8546,x8547,x8548,x8542))
% 184.05/183.92 [855]~E(x8551,x8552)+E(f380(x8551,x8553,x8554,x8555,x8556),f380(x8552,x8553,x8554,x8555,x8556))
% 184.05/183.92 [856]~E(x8561,x8562)+E(f380(x8563,x8561,x8564,x8565,x8566),f380(x8563,x8562,x8564,x8565,x8566))
% 184.05/183.92 [857]~E(x8571,x8572)+E(f380(x8573,x8574,x8571,x8575,x8576),f380(x8573,x8574,x8572,x8575,x8576))
% 184.05/183.92 [858]~E(x8581,x8582)+E(f380(x8583,x8584,x8585,x8581,x8586),f380(x8583,x8584,x8585,x8582,x8586))
% 184.05/183.92 [859]~E(x8591,x8592)+E(f380(x8593,x8594,x8595,x8596,x8591),f380(x8593,x8594,x8595,x8596,x8592))
% 184.05/183.92 [860]~E(x8601,x8602)+E(f108(x8601,x8603,x8604),f108(x8602,x8603,x8604))
% 184.05/183.92 [861]~E(x8611,x8612)+E(f108(x8613,x8611,x8614),f108(x8613,x8612,x8614))
% 184.05/183.92 [862]~E(x8621,x8622)+E(f108(x8623,x8624,x8621),f108(x8623,x8624,x8622))
% 184.05/183.92 [863]~E(x8631,x8632)+E(f424(x8631,x8633,x8634),f424(x8632,x8633,x8634))
% 184.05/183.92 [864]~E(x8641,x8642)+E(f424(x8643,x8641,x8644),f424(x8643,x8642,x8644))
% 184.05/183.92 [865]~E(x8651,x8652)+E(f424(x8653,x8654,x8651),f424(x8653,x8654,x8652))
% 184.05/183.92 [866]~E(x8661,x8662)+E(f858(x8661,x8663,x8664),f858(x8662,x8663,x8664))
% 184.05/183.92 [867]~E(x8671,x8672)+E(f858(x8673,x8671,x8674),f858(x8673,x8672,x8674))
% 184.05/183.92 [868]~E(x8681,x8682)+E(f858(x8683,x8684,x8681),f858(x8683,x8684,x8682))
% 184.05/183.92 [869]~E(x8691,x8692)+E(f487(x8691,x8693,x8694),f487(x8692,x8693,x8694))
% 184.05/183.92 [870]~E(x8701,x8702)+E(f487(x8703,x8701,x8704),f487(x8703,x8702,x8704))
% 184.05/183.92 [871]~E(x8711,x8712)+E(f487(x8713,x8714,x8711),f487(x8713,x8714,x8712))
% 184.05/183.92 [872]~E(x8721,x8722)+E(f590(x8721,x8723,x8724),f590(x8722,x8723,x8724))
% 184.05/183.92 [873]~E(x8731,x8732)+E(f590(x8733,x8731,x8734),f590(x8733,x8732,x8734))
% 184.05/183.92 [874]~E(x8741,x8742)+E(f590(x8743,x8744,x8741),f590(x8743,x8744,x8742))
% 184.05/183.92 [875]~E(x8751,x8752)+E(f413(x8751,x8753,x8754,x8755,x8756),f413(x8752,x8753,x8754,x8755,x8756))
% 184.05/183.92 [876]~E(x8761,x8762)+E(f413(x8763,x8761,x8764,x8765,x8766),f413(x8763,x8762,x8764,x8765,x8766))
% 184.05/183.92 [877]~E(x8771,x8772)+E(f413(x8773,x8774,x8771,x8775,x8776),f413(x8773,x8774,x8772,x8775,x8776))
% 184.05/183.92 [878]~E(x8781,x8782)+E(f413(x8783,x8784,x8785,x8781,x8786),f413(x8783,x8784,x8785,x8782,x8786))
% 184.05/183.92 [879]~E(x8791,x8792)+E(f413(x8793,x8794,x8795,x8796,x8791),f413(x8793,x8794,x8795,x8796,x8792))
% 184.05/183.92 [880]~E(x8801,x8802)+E(f804(x8801,x8803),f804(x8802,x8803))
% 184.05/183.92 [881]~E(x8811,x8812)+E(f804(x8813,x8811),f804(x8813,x8812))
% 184.05/183.92 [882]~E(x8821,x8822)+E(f440(x8821,x8823,x8824,x8825),f440(x8822,x8823,x8824,x8825))
% 184.05/183.92 [883]~E(x8831,x8832)+E(f440(x8833,x8831,x8834,x8835),f440(x8833,x8832,x8834,x8835))
% 184.05/183.92 [884]~E(x8841,x8842)+E(f440(x8843,x8844,x8841,x8845),f440(x8843,x8844,x8842,x8845))
% 184.05/183.92 [885]~E(x8851,x8852)+E(f440(x8853,x8854,x8855,x8851),f440(x8853,x8854,x8855,x8852))
% 184.05/183.92 [886]~E(x8861,x8862)+E(f827(x8861,x8863,x8864,x8865,x8866),f827(x8862,x8863,x8864,x8865,x8866))
% 184.05/183.92 [887]~E(x8871,x8872)+E(f827(x8873,x8871,x8874,x8875,x8876),f827(x8873,x8872,x8874,x8875,x8876))
% 184.05/183.92 [888]~E(x8881,x8882)+E(f827(x8883,x8884,x8881,x8885,x8886),f827(x8883,x8884,x8882,x8885,x8886))
% 184.05/183.92 [889]~E(x8891,x8892)+E(f827(x8893,x8894,x8895,x8891,x8896),f827(x8893,x8894,x8895,x8892,x8896))
% 184.05/183.92 [890]~E(x8901,x8902)+E(f827(x8903,x8904,x8905,x8906,x8901),f827(x8903,x8904,x8905,x8906,x8902))
% 184.05/183.92 [891]~E(x8911,x8912)+E(f697(x8911,x8913,x8914),f697(x8912,x8913,x8914))
% 184.05/183.92 [892]~E(x8921,x8922)+E(f697(x8923,x8921,x8924),f697(x8923,x8922,x8924))
% 184.05/183.92 [893]~E(x8931,x8932)+E(f697(x8933,x8934,x8931),f697(x8933,x8934,x8932))
% 184.05/183.92 [894]~E(x8941,x8942)+E(f695(x8941,x8943,x8944),f695(x8942,x8943,x8944))
% 184.05/183.92 [895]~E(x8951,x8952)+E(f695(x8953,x8951,x8954),f695(x8953,x8952,x8954))
% 184.05/183.92 [896]~E(x8961,x8962)+E(f695(x8963,x8964,x8961),f695(x8963,x8964,x8962))
% 184.05/183.92 [897]~E(x8971,x8972)+E(f331(x8971,x8973,x8974),f331(x8972,x8973,x8974))
% 184.05/183.92 [898]~E(x8981,x8982)+E(f331(x8983,x8981,x8984),f331(x8983,x8982,x8984))
% 184.05/183.92 [899]~E(x8991,x8992)+E(f331(x8993,x8994,x8991),f331(x8993,x8994,x8992))
% 184.05/183.92 [900]~E(x9001,x9002)+E(f884(x9001,x9003,x9004),f884(x9002,x9003,x9004))
% 184.05/183.92 [901]~E(x9011,x9012)+E(f884(x9013,x9011,x9014),f884(x9013,x9012,x9014))
% 184.05/183.92 [902]~E(x9021,x9022)+E(f884(x9023,x9024,x9021),f884(x9023,x9024,x9022))
% 184.05/183.92 [903]~E(x9031,x9032)+E(f145(x9031,x9033,x9034),f145(x9032,x9033,x9034))
% 184.05/183.92 [904]~E(x9041,x9042)+E(f145(x9043,x9041,x9044),f145(x9043,x9042,x9044))
% 184.05/183.92 [905]~E(x9051,x9052)+E(f145(x9053,x9054,x9051),f145(x9053,x9054,x9052))
% 184.05/183.92 [906]~E(x9061,x9062)+E(f881(x9061,x9063,x9064),f881(x9062,x9063,x9064))
% 184.05/183.92 [907]~E(x9071,x9072)+E(f881(x9073,x9071,x9074),f881(x9073,x9072,x9074))
% 184.05/183.92 [908]~E(x9081,x9082)+E(f881(x9083,x9084,x9081),f881(x9083,x9084,x9082))
% 184.05/183.92 [909]~E(x9091,x9092)+E(f663(x9091,x9093,x9094,x9095,x9096),f663(x9092,x9093,x9094,x9095,x9096))
% 184.05/183.92 [910]~E(x9101,x9102)+E(f663(x9103,x9101,x9104,x9105,x9106),f663(x9103,x9102,x9104,x9105,x9106))
% 184.05/183.92 [911]~E(x9111,x9112)+E(f663(x9113,x9114,x9111,x9115,x9116),f663(x9113,x9114,x9112,x9115,x9116))
% 184.05/183.92 [912]~E(x9121,x9122)+E(f663(x9123,x9124,x9125,x9121,x9126),f663(x9123,x9124,x9125,x9122,x9126))
% 184.05/183.92 [913]~E(x9131,x9132)+E(f663(x9133,x9134,x9135,x9136,x9131),f663(x9133,x9134,x9135,x9136,x9132))
% 184.05/183.92 [914]~E(x9141,x9142)+E(f21(x9141,x9143,x9144,x9145),f21(x9142,x9143,x9144,x9145))
% 184.05/183.92 [915]~E(x9151,x9152)+E(f21(x9153,x9151,x9154,x9155),f21(x9153,x9152,x9154,x9155))
% 184.05/183.92 [916]~E(x9161,x9162)+E(f21(x9163,x9164,x9161,x9165),f21(x9163,x9164,x9162,x9165))
% 184.05/183.92 [917]~E(x9171,x9172)+E(f21(x9173,x9174,x9175,x9171),f21(x9173,x9174,x9175,x9172))
% 184.05/183.92 [918]~E(x9181,x9182)+E(f653(x9181,x9183),f653(x9182,x9183))
% 184.05/183.92 [919]~E(x9191,x9192)+E(f653(x9193,x9191),f653(x9193,x9192))
% 184.05/183.92 [920]~E(x9201,x9202)+E(f139(x9201,x9203,x9204,x9205,x9206),f139(x9202,x9203,x9204,x9205,x9206))
% 184.05/183.92 [921]~E(x9211,x9212)+E(f139(x9213,x9211,x9214,x9215,x9216),f139(x9213,x9212,x9214,x9215,x9216))
% 184.05/183.92 [922]~E(x9221,x9222)+E(f139(x9223,x9224,x9221,x9225,x9226),f139(x9223,x9224,x9222,x9225,x9226))
% 184.05/183.92 [923]~E(x9231,x9232)+E(f139(x9233,x9234,x9235,x9231,x9236),f139(x9233,x9234,x9235,x9232,x9236))
% 184.05/183.92 [924]~E(x9241,x9242)+E(f139(x9243,x9244,x9245,x9246,x9241),f139(x9243,x9244,x9245,x9246,x9242))
% 184.05/183.92 [925]~E(x9251,x9252)+E(f182(x9251,x9253),f182(x9252,x9253))
% 184.05/183.92 [926]~E(x9261,x9262)+E(f182(x9263,x9261),f182(x9263,x9262))
% 184.05/183.92 [927]~E(x9271,x9272)+E(f354(x9271,x9273,x9274),f354(x9272,x9273,x9274))
% 184.05/183.92 [928]~E(x9281,x9282)+E(f354(x9283,x9281,x9284),f354(x9283,x9282,x9284))
% 184.05/183.92 [929]~E(x9291,x9292)+E(f354(x9293,x9294,x9291),f354(x9293,x9294,x9292))
% 184.05/183.92 [930]~E(x9301,x9302)+E(f111(x9301,x9303),f111(x9302,x9303))
% 184.05/183.92 [931]~E(x9311,x9312)+E(f111(x9313,x9311),f111(x9313,x9312))
% 184.05/183.92 [932]~E(x9321,x9322)+E(f747(x9321,x9323,x9324),f747(x9322,x9323,x9324))
% 184.05/183.92 [933]~E(x9331,x9332)+E(f747(x9333,x9331,x9334),f747(x9333,x9332,x9334))
% 184.05/183.92 [934]~E(x9341,x9342)+E(f747(x9343,x9344,x9341),f747(x9343,x9344,x9342))
% 184.05/183.92 [935]~E(x9351,x9352)+E(f343(x9351,x9353,x9354,x9355),f343(x9352,x9353,x9354,x9355))
% 184.05/183.92 [936]~E(x9361,x9362)+E(f343(x9363,x9361,x9364,x9365),f343(x9363,x9362,x9364,x9365))
% 184.05/183.92 [937]~E(x9371,x9372)+E(f343(x9373,x9374,x9371,x9375),f343(x9373,x9374,x9372,x9375))
% 184.05/183.92 [938]~E(x9381,x9382)+E(f343(x9383,x9384,x9385,x9381),f343(x9383,x9384,x9385,x9382))
% 184.05/183.92 [939]~E(x9391,x9392)+E(f397(x9391,x9393,x9394),f397(x9392,x9393,x9394))
% 184.05/183.92 [940]~E(x9401,x9402)+E(f397(x9403,x9401,x9404),f397(x9403,x9402,x9404))
% 184.05/183.92 [941]~E(x9411,x9412)+E(f397(x9413,x9414,x9411),f397(x9413,x9414,x9412))
% 184.05/183.92 [942]~E(x9421,x9422)+E(f815(x9421,x9423,x9424,x9425),f815(x9422,x9423,x9424,x9425))
% 184.05/183.92 [943]~E(x9431,x9432)+E(f815(x9433,x9431,x9434,x9435),f815(x9433,x9432,x9434,x9435))
% 184.05/183.92 [944]~E(x9441,x9442)+E(f815(x9443,x9444,x9441,x9445),f815(x9443,x9444,x9442,x9445))
% 184.05/183.92 [945]~E(x9451,x9452)+E(f815(x9453,x9454,x9455,x9451),f815(x9453,x9454,x9455,x9452))
% 184.05/183.92 [946]~E(x9461,x9462)+E(f618(x9461,x9463,x9464,x9465,x9466),f618(x9462,x9463,x9464,x9465,x9466))
% 184.05/183.92 [947]~E(x9471,x9472)+E(f618(x9473,x9471,x9474,x9475,x9476),f618(x9473,x9472,x9474,x9475,x9476))
% 184.05/183.92 [948]~E(x9481,x9482)+E(f618(x9483,x9484,x9481,x9485,x9486),f618(x9483,x9484,x9482,x9485,x9486))
% 184.05/183.92 [949]~E(x9491,x9492)+E(f618(x9493,x9494,x9495,x9491,x9496),f618(x9493,x9494,x9495,x9492,x9496))
% 184.05/183.92 [950]~E(x9501,x9502)+E(f618(x9503,x9504,x9505,x9506,x9501),f618(x9503,x9504,x9505,x9506,x9502))
% 184.05/183.92 [951]~E(x9511,x9512)+E(f740(x9511,x9513,x9514),f740(x9512,x9513,x9514))
% 184.05/183.92 [952]~E(x9521,x9522)+E(f740(x9523,x9521,x9524),f740(x9523,x9522,x9524))
% 184.05/183.92 [953]~E(x9531,x9532)+E(f740(x9533,x9534,x9531),f740(x9533,x9534,x9532))
% 184.05/183.92 [954]~E(x9541,x9542)+E(f458(x9541,x9543,x9544,x9545,x9546),f458(x9542,x9543,x9544,x9545,x9546))
% 184.05/183.92 [955]~E(x9551,x9552)+E(f458(x9553,x9551,x9554,x9555,x9556),f458(x9553,x9552,x9554,x9555,x9556))
% 184.05/183.92 [956]~E(x9561,x9562)+E(f458(x9563,x9564,x9561,x9565,x9566),f458(x9563,x9564,x9562,x9565,x9566))
% 184.05/183.92 [957]~E(x9571,x9572)+E(f458(x9573,x9574,x9575,x9571,x9576),f458(x9573,x9574,x9575,x9572,x9576))
% 184.05/183.92 [958]~E(x9581,x9582)+E(f458(x9583,x9584,x9585,x9586,x9581),f458(x9583,x9584,x9585,x9586,x9582))
% 184.05/183.92 [959]~E(x9591,x9592)+E(f705(x9591,x9593,x9594,x9595),f705(x9592,x9593,x9594,x9595))
% 184.05/183.92 [960]~E(x9601,x9602)+E(f705(x9603,x9601,x9604,x9605),f705(x9603,x9602,x9604,x9605))
% 184.05/183.92 [961]~E(x9611,x9612)+E(f705(x9613,x9614,x9611,x9615),f705(x9613,x9614,x9612,x9615))
% 184.05/183.92 [962]~E(x9621,x9622)+E(f705(x9623,x9624,x9625,x9621),f705(x9623,x9624,x9625,x9622))
% 184.05/183.92 [963]~E(x9631,x9632)+E(f763(x9631,x9633),f763(x9632,x9633))
% 184.05/183.92 [964]~E(x9641,x9642)+E(f763(x9643,x9641),f763(x9643,x9642))
% 184.05/183.92 [965]~E(x9651,x9652)+E(f176(x9651),f176(x9652))
% 184.05/183.92 [966]~E(x9661,x9662)+E(f426(x9661,x9663,x9664,x9665),f426(x9662,x9663,x9664,x9665))
% 184.05/183.92 [967]~E(x9671,x9672)+E(f426(x9673,x9671,x9674,x9675),f426(x9673,x9672,x9674,x9675))
% 184.05/183.92 [968]~E(x9681,x9682)+E(f426(x9683,x9684,x9681,x9685),f426(x9683,x9684,x9682,x9685))
% 184.05/183.92 [969]~E(x9691,x9692)+E(f426(x9693,x9694,x9695,x9691),f426(x9693,x9694,x9695,x9692))
% 184.05/183.92 [970]~E(x9701,x9702)+E(f439(x9701,x9703,x9704,x9705),f439(x9702,x9703,x9704,x9705))
% 184.05/183.92 [971]~E(x9711,x9712)+E(f439(x9713,x9711,x9714,x9715),f439(x9713,x9712,x9714,x9715))
% 184.05/183.92 [972]~E(x9721,x9722)+E(f439(x9723,x9724,x9721,x9725),f439(x9723,x9724,x9722,x9725))
% 184.05/183.92 [973]~E(x9731,x9732)+E(f439(x9733,x9734,x9735,x9731),f439(x9733,x9734,x9735,x9732))
% 184.05/183.92 [974]~E(x9741,x9742)+E(f792(x9741,x9743,x9744),f792(x9742,x9743,x9744))
% 184.05/183.92 [975]~E(x9751,x9752)+E(f792(x9753,x9751,x9754),f792(x9753,x9752,x9754))
% 184.05/183.92 [976]~E(x9761,x9762)+E(f792(x9763,x9764,x9761),f792(x9763,x9764,x9762))
% 184.05/183.92 [977]~E(x9771,x9772)+E(f206(x9771,x9773),f206(x9772,x9773))
% 184.05/183.92 [978]~E(x9781,x9782)+E(f206(x9783,x9781),f206(x9783,x9782))
% 184.05/183.92 [979]~E(x9791,x9792)+E(f890(x9791,x9793,x9794),f890(x9792,x9793,x9794))
% 184.05/183.92 [980]~E(x9801,x9802)+E(f890(x9803,x9801,x9804),f890(x9803,x9802,x9804))
% 184.05/183.92 [981]~E(x9811,x9812)+E(f890(x9813,x9814,x9811),f890(x9813,x9814,x9812))
% 184.05/183.92 [982]~E(x9821,x9822)+E(f593(x9821,x9823,x9824),f593(x9822,x9823,x9824))
% 184.05/183.92 [983]~E(x9831,x9832)+E(f593(x9833,x9831,x9834),f593(x9833,x9832,x9834))
% 184.05/183.92 [984]~E(x9841,x9842)+E(f593(x9843,x9844,x9841),f593(x9843,x9844,x9842))
% 184.05/183.92 [985]~E(x9851,x9852)+E(f736(x9851,x9853,x9854,x9855),f736(x9852,x9853,x9854,x9855))
% 184.05/183.92 [986]~E(x9861,x9862)+E(f736(x9863,x9861,x9864,x9865),f736(x9863,x9862,x9864,x9865))
% 184.05/183.92 [987]~E(x9871,x9872)+E(f736(x9873,x9874,x9871,x9875),f736(x9873,x9874,x9872,x9875))
% 184.05/183.92 [988]~E(x9881,x9882)+E(f736(x9883,x9884,x9885,x9881),f736(x9883,x9884,x9885,x9882))
% 184.05/183.92 [989]~E(x9891,x9892)+E(f486(x9891,x9893,x9894,x9895,x9896),f486(x9892,x9893,x9894,x9895,x9896))
% 184.05/183.92 [990]~E(x9901,x9902)+E(f486(x9903,x9901,x9904,x9905,x9906),f486(x9903,x9902,x9904,x9905,x9906))
% 184.05/183.92 [991]~E(x9911,x9912)+E(f486(x9913,x9914,x9911,x9915,x9916),f486(x9913,x9914,x9912,x9915,x9916))
% 184.05/183.92 [992]~E(x9921,x9922)+E(f486(x9923,x9924,x9925,x9921,x9926),f486(x9923,x9924,x9925,x9922,x9926))
% 184.05/183.92 [993]~E(x9931,x9932)+E(f486(x9933,x9934,x9935,x9936,x9931),f486(x9933,x9934,x9935,x9936,x9932))
% 184.05/183.92 [994]~E(x9941,x9942)+E(f463(x9941,x9943,x9944,x9945,x9946),f463(x9942,x9943,x9944,x9945,x9946))
% 184.05/183.92 [995]~E(x9951,x9952)+E(f463(x9953,x9951,x9954,x9955,x9956),f463(x9953,x9952,x9954,x9955,x9956))
% 184.05/183.92 [996]~E(x9961,x9962)+E(f463(x9963,x9964,x9961,x9965,x9966),f463(x9963,x9964,x9962,x9965,x9966))
% 184.05/183.92 [997]~E(x9971,x9972)+E(f463(x9973,x9974,x9975,x9971,x9976),f463(x9973,x9974,x9975,x9972,x9976))
% 184.05/183.92 [998]~E(x9981,x9982)+E(f463(x9983,x9984,x9985,x9986,x9981),f463(x9983,x9984,x9985,x9986,x9982))
% 184.05/183.92 [999]~E(x9991,x9992)+E(f120(x9991,x9993,x9994,x9995),f120(x9992,x9993,x9994,x9995))
% 184.05/183.92 [1000]~E(x10001,x10002)+E(f120(x10003,x10001,x10004,x10005),f120(x10003,x10002,x10004,x10005))
% 184.05/183.92 [1001]~E(x10011,x10012)+E(f120(x10013,x10014,x10011,x10015),f120(x10013,x10014,x10012,x10015))
% 184.05/183.92 [1002]~E(x10021,x10022)+E(f120(x10023,x10024,x10025,x10021),f120(x10023,x10024,x10025,x10022))
% 184.05/183.92 [1003]~E(x10031,x10032)+E(f201(x10031,x10033,x10034,x10035,x10036,x10037,x10038),f201(x10032,x10033,x10034,x10035,x10036,x10037,x10038))
% 184.05/183.92 [1004]~E(x10041,x10042)+E(f201(x10043,x10041,x10044,x10045,x10046,x10047,x10048),f201(x10043,x10042,x10044,x10045,x10046,x10047,x10048))
% 184.05/183.92 [1005]~E(x10051,x10052)+E(f201(x10053,x10054,x10051,x10055,x10056,x10057,x10058),f201(x10053,x10054,x10052,x10055,x10056,x10057,x10058))
% 184.05/183.92 [1006]~E(x10061,x10062)+E(f201(x10063,x10064,x10065,x10061,x10066,x10067,x10068),f201(x10063,x10064,x10065,x10062,x10066,x10067,x10068))
% 184.05/183.92 [1007]~E(x10071,x10072)+E(f201(x10073,x10074,x10075,x10076,x10071,x10077,x10078),f201(x10073,x10074,x10075,x10076,x10072,x10077,x10078))
% 184.05/183.92 [1008]~E(x10081,x10082)+E(f201(x10083,x10084,x10085,x10086,x10087,x10081,x10088),f201(x10083,x10084,x10085,x10086,x10087,x10082,x10088))
% 184.05/183.92 [1009]~E(x10091,x10092)+E(f201(x10093,x10094,x10095,x10096,x10097,x10098,x10091),f201(x10093,x10094,x10095,x10096,x10097,x10098,x10092))
% 184.05/183.92 [1010]~E(x10101,x10102)+E(f396(x10101,x10103),f396(x10102,x10103))
% 184.05/183.92 [1011]~E(x10111,x10112)+E(f396(x10113,x10111),f396(x10113,x10112))
% 184.05/183.92 [1012]~E(x10121,x10122)+E(f270(x10121,x10123,x10124,x10125),f270(x10122,x10123,x10124,x10125))
% 184.05/183.92 [1013]~E(x10131,x10132)+E(f270(x10133,x10131,x10134,x10135),f270(x10133,x10132,x10134,x10135))
% 184.05/183.92 [1014]~E(x10141,x10142)+E(f270(x10143,x10144,x10141,x10145),f270(x10143,x10144,x10142,x10145))
% 184.05/183.92 [1015]~E(x10151,x10152)+E(f270(x10153,x10154,x10155,x10151),f270(x10153,x10154,x10155,x10152))
% 184.05/183.92 [1016]~E(x10161,x10162)+E(f384(x10161,x10163,x10164,x10165),f384(x10162,x10163,x10164,x10165))
% 184.05/183.92 [1017]~E(x10171,x10172)+E(f384(x10173,x10171,x10174,x10175),f384(x10173,x10172,x10174,x10175))
% 184.05/183.92 [1018]~E(x10181,x10182)+E(f384(x10183,x10184,x10181,x10185),f384(x10183,x10184,x10182,x10185))
% 184.05/183.92 [1019]~E(x10191,x10192)+E(f384(x10193,x10194,x10195,x10191),f384(x10193,x10194,x10195,x10192))
% 184.05/183.92 [1020]~E(x10201,x10202)+E(f863(x10201,x10203,x10204),f863(x10202,x10203,x10204))
% 184.05/183.92 [1021]~E(x10211,x10212)+E(f863(x10213,x10211,x10214),f863(x10213,x10212,x10214))
% 184.05/183.92 [1022]~E(x10221,x10222)+E(f863(x10223,x10224,x10221),f863(x10223,x10224,x10222))
% 184.05/183.92 [1023]~E(x10231,x10232)+E(f757(x10231,x10233,x10234,x10235),f757(x10232,x10233,x10234,x10235))
% 184.05/183.92 [1024]~E(x10241,x10242)+E(f757(x10243,x10241,x10244,x10245),f757(x10243,x10242,x10244,x10245))
% 184.05/183.92 [1025]~E(x10251,x10252)+E(f757(x10253,x10254,x10251,x10255),f757(x10253,x10254,x10252,x10255))
% 184.05/183.92 [1026]~E(x10261,x10262)+E(f757(x10263,x10264,x10265,x10261),f757(x10263,x10264,x10265,x10262))
% 184.05/183.92 [1027]~E(x10271,x10272)+E(f640(x10271,x10273,x10274),f640(x10272,x10273,x10274))
% 184.05/183.92 [1028]~E(x10281,x10282)+E(f640(x10283,x10281,x10284),f640(x10283,x10282,x10284))
% 184.05/183.92 [1029]~E(x10291,x10292)+E(f640(x10293,x10294,x10291),f640(x10293,x10294,x10292))
% 184.05/183.92 [1030]~E(x10301,x10302)+E(f555(x10301,x10303),f555(x10302,x10303))
% 184.05/183.92 [1031]~E(x10311,x10312)+E(f555(x10313,x10311),f555(x10313,x10312))
% 184.05/183.92 [1032]~E(x10321,x10322)+E(f696(x10321,x10323,x10324),f696(x10322,x10323,x10324))
% 184.05/183.92 [1033]~E(x10331,x10332)+E(f696(x10333,x10331,x10334),f696(x10333,x10332,x10334))
% 184.05/183.92 [1034]~E(x10341,x10342)+E(f696(x10343,x10344,x10341),f696(x10343,x10344,x10342))
% 184.05/183.92 [1035]~E(x10351,x10352)+E(f402(x10351,x10353,x10354,x10355,x10356),f402(x10352,x10353,x10354,x10355,x10356))
% 184.05/183.92 [1036]~E(x10361,x10362)+E(f402(x10363,x10361,x10364,x10365,x10366),f402(x10363,x10362,x10364,x10365,x10366))
% 184.05/183.92 [1037]~E(x10371,x10372)+E(f402(x10373,x10374,x10371,x10375,x10376),f402(x10373,x10374,x10372,x10375,x10376))
% 184.05/183.92 [1038]~E(x10381,x10382)+E(f402(x10383,x10384,x10385,x10381,x10386),f402(x10383,x10384,x10385,x10382,x10386))
% 184.05/183.92 [1039]~E(x10391,x10392)+E(f402(x10393,x10394,x10395,x10396,x10391),f402(x10393,x10394,x10395,x10396,x10392))
% 184.05/183.92 [1040]~E(x10401,x10402)+E(f892(x10401),f892(x10402))
% 184.05/183.92 [1041]~E(x10411,x10412)+E(f338(x10411,x10413,x10414),f338(x10412,x10413,x10414))
% 184.05/183.92 [1042]~E(x10421,x10422)+E(f338(x10423,x10421,x10424),f338(x10423,x10422,x10424))
% 184.05/183.92 [1043]~E(x10431,x10432)+E(f338(x10433,x10434,x10431),f338(x10433,x10434,x10432))
% 184.05/183.92 [1044]~E(x10441,x10442)+E(f208(x10441,x10443),f208(x10442,x10443))
% 184.05/183.92 [1045]~E(x10451,x10452)+E(f208(x10453,x10451),f208(x10453,x10452))
% 184.05/183.92 [1046]~E(x10461,x10462)+E(f170(x10461),f170(x10462))
% 184.05/183.92 [1047]~E(x10471,x10472)+E(f660(x10471,x10473,x10474,x10475,x10476),f660(x10472,x10473,x10474,x10475,x10476))
% 184.05/183.92 [1048]~E(x10481,x10482)+E(f660(x10483,x10481,x10484,x10485,x10486),f660(x10483,x10482,x10484,x10485,x10486))
% 184.05/183.92 [1049]~E(x10491,x10492)+E(f660(x10493,x10494,x10491,x10495,x10496),f660(x10493,x10494,x10492,x10495,x10496))
% 184.05/183.92 [1050]~E(x10501,x10502)+E(f660(x10503,x10504,x10505,x10501,x10506),f660(x10503,x10504,x10505,x10502,x10506))
% 184.05/183.92 [1051]~E(x10511,x10512)+E(f660(x10513,x10514,x10515,x10516,x10511),f660(x10513,x10514,x10515,x10516,x10512))
% 184.05/183.92 [1052]~E(x10521,x10522)+E(f249(x10521,x10523,x10524,x10525),f249(x10522,x10523,x10524,x10525))
% 184.05/183.92 [1053]~E(x10531,x10532)+E(f249(x10533,x10531,x10534,x10535),f249(x10533,x10532,x10534,x10535))
% 184.05/183.92 [1054]~E(x10541,x10542)+E(f249(x10543,x10544,x10541,x10545),f249(x10543,x10544,x10542,x10545))
% 184.05/183.92 [1055]~E(x10551,x10552)+E(f249(x10553,x10554,x10555,x10551),f249(x10553,x10554,x10555,x10552))
% 184.05/183.92 [1056]~E(x10561,x10562)+E(f714(x10561,x10563),f714(x10562,x10563))
% 184.05/183.92 [1057]~E(x10571,x10572)+E(f714(x10573,x10571),f714(x10573,x10572))
% 184.05/183.92 [1058]~E(x10581,x10582)+E(f727(x10581,x10583,x10584,x10585,x10586),f727(x10582,x10583,x10584,x10585,x10586))
% 184.05/183.92 [1059]~E(x10591,x10592)+E(f727(x10593,x10591,x10594,x10595,x10596),f727(x10593,x10592,x10594,x10595,x10596))
% 184.05/183.92 [1060]~E(x10601,x10602)+E(f727(x10603,x10604,x10601,x10605,x10606),f727(x10603,x10604,x10602,x10605,x10606))
% 184.05/183.92 [1061]~E(x10611,x10612)+E(f727(x10613,x10614,x10615,x10611,x10616),f727(x10613,x10614,x10615,x10612,x10616))
% 184.05/183.92 [1062]~E(x10621,x10622)+E(f727(x10623,x10624,x10625,x10626,x10621),f727(x10623,x10624,x10625,x10626,x10622))
% 184.05/183.92 [1063]~E(x10631,x10632)+E(f85(x10631,x10633,x10634,x10635),f85(x10632,x10633,x10634,x10635))
% 184.05/183.92 [1064]~E(x10641,x10642)+E(f85(x10643,x10641,x10644,x10645),f85(x10643,x10642,x10644,x10645))
% 184.05/183.92 [1065]~E(x10651,x10652)+E(f85(x10653,x10654,x10651,x10655),f85(x10653,x10654,x10652,x10655))
% 184.05/183.92 [1066]~E(x10661,x10662)+E(f85(x10663,x10664,x10665,x10661),f85(x10663,x10664,x10665,x10662))
% 184.05/183.92 [1067]~E(x10671,x10672)+E(f813(x10671,x10673,x10674,x10675,x10676),f813(x10672,x10673,x10674,x10675,x10676))
% 184.05/183.92 [1068]~E(x10681,x10682)+E(f813(x10683,x10681,x10684,x10685,x10686),f813(x10683,x10682,x10684,x10685,x10686))
% 184.05/183.92 [1069]~E(x10691,x10692)+E(f813(x10693,x10694,x10691,x10695,x10696),f813(x10693,x10694,x10692,x10695,x10696))
% 184.05/183.92 [1070]~E(x10701,x10702)+E(f813(x10703,x10704,x10705,x10701,x10706),f813(x10703,x10704,x10705,x10702,x10706))
% 184.05/183.92 [1071]~E(x10711,x10712)+E(f813(x10713,x10714,x10715,x10716,x10711),f813(x10713,x10714,x10715,x10716,x10712))
% 184.05/183.92 [1072]~E(x10721,x10722)+E(f835(x10721,x10723,x10724,x10725,x10726,x10727,x10728,x10729),f835(x10722,x10723,x10724,x10725,x10726,x10727,x10728,x10729))
% 184.05/183.92 [1073]~E(x10731,x10732)+E(f835(x10733,x10731,x10734,x10735,x10736,x10737,x10738,x10739),f835(x10733,x10732,x10734,x10735,x10736,x10737,x10738,x10739))
% 184.05/183.92 [1074]~E(x10741,x10742)+E(f835(x10743,x10744,x10741,x10745,x10746,x10747,x10748,x10749),f835(x10743,x10744,x10742,x10745,x10746,x10747,x10748,x10749))
% 184.05/183.92 [1075]~E(x10751,x10752)+E(f835(x10753,x10754,x10755,x10751,x10756,x10757,x10758,x10759),f835(x10753,x10754,x10755,x10752,x10756,x10757,x10758,x10759))
% 184.05/183.92 [1076]~E(x10761,x10762)+E(f835(x10763,x10764,x10765,x10766,x10761,x10767,x10768,x10769),f835(x10763,x10764,x10765,x10766,x10762,x10767,x10768,x10769))
% 184.05/183.92 [1077]~E(x10771,x10772)+E(f835(x10773,x10774,x10775,x10776,x10777,x10771,x10778,x10779),f835(x10773,x10774,x10775,x10776,x10777,x10772,x10778,x10779))
% 184.05/183.92 [1078]~E(x10781,x10782)+E(f835(x10783,x10784,x10785,x10786,x10787,x10788,x10781,x10789),f835(x10783,x10784,x10785,x10786,x10787,x10788,x10782,x10789))
% 184.05/183.92 [1079]~E(x10791,x10792)+E(f835(x10793,x10794,x10795,x10796,x10797,x10798,x10799,x10791),f835(x10793,x10794,x10795,x10796,x10797,x10798,x10799,x10792))
% 184.05/183.92 [1080]~E(x10801,x10802)+E(f455(x10801,x10803,x10804),f455(x10802,x10803,x10804))
% 184.05/183.92 [1081]~E(x10811,x10812)+E(f455(x10813,x10811,x10814),f455(x10813,x10812,x10814))
% 184.05/183.92 [1082]~E(x10821,x10822)+E(f455(x10823,x10824,x10821),f455(x10823,x10824,x10822))
% 184.05/183.92 [1083]~E(x10831,x10832)+E(f408(x10831,x10833,x10834),f408(x10832,x10833,x10834))
% 184.05/183.92 [1084]~E(x10841,x10842)+E(f408(x10843,x10841,x10844),f408(x10843,x10842,x10844))
% 184.05/183.92 [1085]~E(x10851,x10852)+E(f408(x10853,x10854,x10851),f408(x10853,x10854,x10852))
% 184.05/183.92 [1086]~E(x10861,x10862)+E(f23(x10861,x10863),f23(x10862,x10863))
% 184.05/183.92 [1087]~E(x10871,x10872)+E(f23(x10873,x10871),f23(x10873,x10872))
% 184.05/183.92 [1088]~E(x10881,x10882)+E(f403(x10881,x10883,x10884),f403(x10882,x10883,x10884))
% 184.05/183.92 [1089]~E(x10891,x10892)+E(f403(x10893,x10891,x10894),f403(x10893,x10892,x10894))
% 184.05/183.92 [1090]~E(x10901,x10902)+E(f403(x10903,x10904,x10901),f403(x10903,x10904,x10902))
% 184.05/183.92 [1091]~E(x10911,x10912)+E(f532(x10911,x10913,x10914,x10915,x10916,x10917),f532(x10912,x10913,x10914,x10915,x10916,x10917))
% 184.05/183.92 [1092]~E(x10921,x10922)+E(f532(x10923,x10921,x10924,x10925,x10926,x10927),f532(x10923,x10922,x10924,x10925,x10926,x10927))
% 184.05/183.92 [1093]~E(x10931,x10932)+E(f532(x10933,x10934,x10931,x10935,x10936,x10937),f532(x10933,x10934,x10932,x10935,x10936,x10937))
% 184.05/183.92 [1094]~E(x10941,x10942)+E(f532(x10943,x10944,x10945,x10941,x10946,x10947),f532(x10943,x10944,x10945,x10942,x10946,x10947))
% 184.05/183.92 [1095]~E(x10951,x10952)+E(f532(x10953,x10954,x10955,x10956,x10951,x10957),f532(x10953,x10954,x10955,x10956,x10952,x10957))
% 184.05/183.92 [1096]~E(x10961,x10962)+E(f532(x10963,x10964,x10965,x10966,x10967,x10961),f532(x10963,x10964,x10965,x10966,x10967,x10962))
% 184.05/183.92 [1097]~E(x10971,x10972)+E(f113(x10971),f113(x10972))
% 184.05/183.92 [1098]~E(x10981,x10982)+E(f474(x10981,x10983,x10984,x10985,x10986),f474(x10982,x10983,x10984,x10985,x10986))
% 184.05/183.92 [1099]~E(x10991,x10992)+E(f474(x10993,x10991,x10994,x10995,x10996),f474(x10993,x10992,x10994,x10995,x10996))
% 184.05/183.92 [1100]~E(x11001,x11002)+E(f474(x11003,x11004,x11001,x11005,x11006),f474(x11003,x11004,x11002,x11005,x11006))
% 184.05/183.92 [1101]~E(x11011,x11012)+E(f474(x11013,x11014,x11015,x11011,x11016),f474(x11013,x11014,x11015,x11012,x11016))
% 184.05/183.92 [1102]~E(x11021,x11022)+E(f474(x11023,x11024,x11025,x11026,x11021),f474(x11023,x11024,x11025,x11026,x11022))
% 184.05/183.92 [1103]~E(x11031,x11032)+E(f387(x11031,x11033,x11034,x11035),f387(x11032,x11033,x11034,x11035))
% 184.05/183.92 [1104]~E(x11041,x11042)+E(f387(x11043,x11041,x11044,x11045),f387(x11043,x11042,x11044,x11045))
% 184.05/183.92 [1105]~E(x11051,x11052)+E(f387(x11053,x11054,x11051,x11055),f387(x11053,x11054,x11052,x11055))
% 184.05/183.92 [1106]~E(x11061,x11062)+E(f387(x11063,x11064,x11065,x11061),f387(x11063,x11064,x11065,x11062))
% 184.05/183.92 [1107]~E(x11071,x11072)+E(f56(x11071,x11073,x11074),f56(x11072,x11073,x11074))
% 184.05/183.92 [1108]~E(x11081,x11082)+E(f56(x11083,x11081,x11084),f56(x11083,x11082,x11084))
% 184.05/183.92 [1109]~E(x11091,x11092)+E(f56(x11093,x11094,x11091),f56(x11093,x11094,x11092))
% 184.05/183.92 [1110]~E(x11101,x11102)+E(f33(x11101),f33(x11102))
% 184.05/183.92 [1111]~E(x11111,x11112)+E(f741(x11111,x11113,x11114),f741(x11112,x11113,x11114))
% 184.05/183.92 [1112]~E(x11121,x11122)+E(f741(x11123,x11121,x11124),f741(x11123,x11122,x11124))
% 184.05/183.92 [1113]~E(x11131,x11132)+E(f741(x11133,x11134,x11131),f741(x11133,x11134,x11132))
% 184.05/183.92 [1114]~E(x11141,x11142)+E(f627(x11141,x11143,x11144,x11145,x11146,x11147),f627(x11142,x11143,x11144,x11145,x11146,x11147))
% 184.05/183.92 [1115]~E(x11151,x11152)+E(f627(x11153,x11151,x11154,x11155,x11156,x11157),f627(x11153,x11152,x11154,x11155,x11156,x11157))
% 184.05/183.92 [1116]~E(x11161,x11162)+E(f627(x11163,x11164,x11161,x11165,x11166,x11167),f627(x11163,x11164,x11162,x11165,x11166,x11167))
% 184.05/183.92 [1117]~E(x11171,x11172)+E(f627(x11173,x11174,x11175,x11171,x11176,x11177),f627(x11173,x11174,x11175,x11172,x11176,x11177))
% 184.05/183.92 [1118]~E(x11181,x11182)+E(f627(x11183,x11184,x11185,x11186,x11181,x11187),f627(x11183,x11184,x11185,x11186,x11182,x11187))
% 184.05/183.92 [1119]~E(x11191,x11192)+E(f627(x11193,x11194,x11195,x11196,x11197,x11191),f627(x11193,x11194,x11195,x11196,x11197,x11192))
% 184.05/183.92 [1120]~E(x11201,x11202)+E(f612(x11201,x11203,x11204,x11205,x11206),f612(x11202,x11203,x11204,x11205,x11206))
% 184.05/183.92 [1121]~E(x11211,x11212)+E(f612(x11213,x11211,x11214,x11215,x11216),f612(x11213,x11212,x11214,x11215,x11216))
% 184.05/183.92 [1122]~E(x11221,x11222)+E(f612(x11223,x11224,x11221,x11225,x11226),f612(x11223,x11224,x11222,x11225,x11226))
% 184.05/183.92 [1123]~E(x11231,x11232)+E(f612(x11233,x11234,x11235,x11231,x11236),f612(x11233,x11234,x11235,x11232,x11236))
% 184.05/183.92 [1124]~E(x11241,x11242)+E(f612(x11243,x11244,x11245,x11246,x11241),f612(x11243,x11244,x11245,x11246,x11242))
% 184.05/183.92 [1125]~E(x11251,x11252)+E(f538(x11251,x11253,x11254,x11255,x11256,x11257),f538(x11252,x11253,x11254,x11255,x11256,x11257))
% 184.05/183.92 [1126]~E(x11261,x11262)+E(f538(x11263,x11261,x11264,x11265,x11266,x11267),f538(x11263,x11262,x11264,x11265,x11266,x11267))
% 184.05/183.92 [1127]~E(x11271,x11272)+E(f538(x11273,x11274,x11271,x11275,x11276,x11277),f538(x11273,x11274,x11272,x11275,x11276,x11277))
% 184.05/183.92 [1128]~E(x11281,x11282)+E(f538(x11283,x11284,x11285,x11281,x11286,x11287),f538(x11283,x11284,x11285,x11282,x11286,x11287))
% 184.05/183.92 [1129]~E(x11291,x11292)+E(f538(x11293,x11294,x11295,x11296,x11291,x11297),f538(x11293,x11294,x11295,x11296,x11292,x11297))
% 184.05/183.92 [1130]~E(x11301,x11302)+E(f538(x11303,x11304,x11305,x11306,x11307,x11301),f538(x11303,x11304,x11305,x11306,x11307,x11302))
% 184.05/183.92 [1131]~E(x11311,x11312)+E(f759(x11311,x11313,x11314,x11315),f759(x11312,x11313,x11314,x11315))
% 184.05/183.92 [1132]~E(x11321,x11322)+E(f759(x11323,x11321,x11324,x11325),f759(x11323,x11322,x11324,x11325))
% 184.05/183.92 [1133]~E(x11331,x11332)+E(f759(x11333,x11334,x11331,x11335),f759(x11333,x11334,x11332,x11335))
% 184.05/183.92 [1134]~E(x11341,x11342)+E(f759(x11343,x11344,x11345,x11341),f759(x11343,x11344,x11345,x11342))
% 184.05/183.92 [1135]~E(x11351,x11352)+E(f344(x11351,x11353,x11354,x11355),f344(x11352,x11353,x11354,x11355))
% 184.05/183.92 [1136]~E(x11361,x11362)+E(f344(x11363,x11361,x11364,x11365),f344(x11363,x11362,x11364,x11365))
% 184.05/183.92 [1137]~E(x11371,x11372)+E(f344(x11373,x11374,x11371,x11375),f344(x11373,x11374,x11372,x11375))
% 184.05/183.92 [1138]~E(x11381,x11382)+E(f344(x11383,x11384,x11385,x11381),f344(x11383,x11384,x11385,x11382))
% 184.05/183.92 [1139]~E(x11391,x11392)+E(f243(x11391,x11393,x11394,x11395,x11396),f243(x11392,x11393,x11394,x11395,x11396))
% 184.05/183.92 [1140]~E(x11401,x11402)+E(f243(x11403,x11401,x11404,x11405,x11406),f243(x11403,x11402,x11404,x11405,x11406))
% 184.05/183.92 [1141]~E(x11411,x11412)+E(f243(x11413,x11414,x11411,x11415,x11416),f243(x11413,x11414,x11412,x11415,x11416))
% 184.05/183.92 [1142]~E(x11421,x11422)+E(f243(x11423,x11424,x11425,x11421,x11426),f243(x11423,x11424,x11425,x11422,x11426))
% 184.05/183.92 [1143]~E(x11431,x11432)+E(f243(x11433,x11434,x11435,x11436,x11431),f243(x11433,x11434,x11435,x11436,x11432))
% 184.05/183.92 [1144]~E(x11441,x11442)+E(f690(x11441,x11443),f690(x11442,x11443))
% 184.05/183.92 [1145]~E(x11451,x11452)+E(f690(x11453,x11451),f690(x11453,x11452))
% 184.05/183.92 [1146]~E(x11461,x11462)+E(f878(x11461,x11463),f878(x11462,x11463))
% 184.05/183.92 [1147]~E(x11471,x11472)+E(f878(x11473,x11471),f878(x11473,x11472))
% 184.05/183.92 [1148]~E(x11481,x11482)+E(f638(x11481,x11483,x11484,x11485,x11486),f638(x11482,x11483,x11484,x11485,x11486))
% 184.05/183.92 [1149]~E(x11491,x11492)+E(f638(x11493,x11491,x11494,x11495,x11496),f638(x11493,x11492,x11494,x11495,x11496))
% 184.05/183.92 [1150]~E(x11501,x11502)+E(f638(x11503,x11504,x11501,x11505,x11506),f638(x11503,x11504,x11502,x11505,x11506))
% 184.05/183.92 [1151]~E(x11511,x11512)+E(f638(x11513,x11514,x11515,x11511,x11516),f638(x11513,x11514,x11515,x11512,x11516))
% 184.05/183.92 [1152]~E(x11521,x11522)+E(f638(x11523,x11524,x11525,x11526,x11521),f638(x11523,x11524,x11525,x11526,x11522))
% 184.05/183.92 [1153]~E(x11531,x11532)+E(f259(x11531,x11533),f259(x11532,x11533))
% 184.05/183.92 [1154]~E(x11541,x11542)+E(f259(x11543,x11541),f259(x11543,x11542))
% 184.05/183.92 [1155]~E(x11551,x11552)+E(f464(x11551,x11553,x11554,x11555,x11556,x11557),f464(x11552,x11553,x11554,x11555,x11556,x11557))
% 184.05/183.92 [1156]~E(x11561,x11562)+E(f464(x11563,x11561,x11564,x11565,x11566,x11567),f464(x11563,x11562,x11564,x11565,x11566,x11567))
% 184.05/183.92 [1157]~E(x11571,x11572)+E(f464(x11573,x11574,x11571,x11575,x11576,x11577),f464(x11573,x11574,x11572,x11575,x11576,x11577))
% 184.05/183.92 [1158]~E(x11581,x11582)+E(f464(x11583,x11584,x11585,x11581,x11586,x11587),f464(x11583,x11584,x11585,x11582,x11586,x11587))
% 184.05/183.92 [1159]~E(x11591,x11592)+E(f464(x11593,x11594,x11595,x11596,x11591,x11597),f464(x11593,x11594,x11595,x11596,x11592,x11597))
% 184.05/183.92 [1160]~E(x11601,x11602)+E(f464(x11603,x11604,x11605,x11606,x11607,x11601),f464(x11603,x11604,x11605,x11606,x11607,x11602))
% 184.05/183.92 [1161]~E(x11611,x11612)+E(f289(x11611,x11613,x11614,x11615),f289(x11612,x11613,x11614,x11615))
% 184.05/183.92 [1162]~E(x11621,x11622)+E(f289(x11623,x11621,x11624,x11625),f289(x11623,x11622,x11624,x11625))
% 184.05/183.92 [1163]~E(x11631,x11632)+E(f289(x11633,x11634,x11631,x11635),f289(x11633,x11634,x11632,x11635))
% 184.05/183.92 [1164]~E(x11641,x11642)+E(f289(x11643,x11644,x11645,x11641),f289(x11643,x11644,x11645,x11642))
% 184.05/183.92 [1165]~E(x11651,x11652)+E(f122(x11651,x11653),f122(x11652,x11653))
% 184.05/183.92 [1166]~E(x11661,x11662)+E(f122(x11663,x11661),f122(x11663,x11662))
% 184.05/183.92 [1167]~E(x11671,x11672)+E(f216(x11671,x11673,x11674,x11675,x11676),f216(x11672,x11673,x11674,x11675,x11676))
% 184.05/183.92 [1168]~E(x11681,x11682)+E(f216(x11683,x11681,x11684,x11685,x11686),f216(x11683,x11682,x11684,x11685,x11686))
% 184.05/183.92 [1169]~E(x11691,x11692)+E(f216(x11693,x11694,x11691,x11695,x11696),f216(x11693,x11694,x11692,x11695,x11696))
% 184.05/183.92 [1170]~E(x11701,x11702)+E(f216(x11703,x11704,x11705,x11701,x11706),f216(x11703,x11704,x11705,x11702,x11706))
% 184.05/183.92 [1171]~E(x11711,x11712)+E(f216(x11713,x11714,x11715,x11716,x11711),f216(x11713,x11714,x11715,x11716,x11712))
% 184.05/183.92 [1172]~E(x11721,x11722)+E(f382(x11721,x11723,x11724),f382(x11722,x11723,x11724))
% 184.05/183.92 [1173]~E(x11731,x11732)+E(f382(x11733,x11731,x11734),f382(x11733,x11732,x11734))
% 184.05/183.92 [1174]~E(x11741,x11742)+E(f382(x11743,x11744,x11741),f382(x11743,x11744,x11742))
% 184.05/183.92 [1175]~E(x11751,x11752)+E(f239(x11751,x11753,x11754),f239(x11752,x11753,x11754))
% 184.05/183.92 [1176]~E(x11761,x11762)+E(f239(x11763,x11761,x11764),f239(x11763,x11762,x11764))
% 184.05/183.92 [1177]~E(x11771,x11772)+E(f239(x11773,x11774,x11771),f239(x11773,x11774,x11772))
% 184.05/183.92 [1178]~E(x11781,x11782)+E(f703(x11781,x11783),f703(x11782,x11783))
% 184.05/183.92 [1179]~E(x11791,x11792)+E(f703(x11793,x11791),f703(x11793,x11792))
% 184.05/183.92 [1180]~E(x11801,x11802)+E(f571(x11801,x11803,x11804,x11805),f571(x11802,x11803,x11804,x11805))
% 184.05/183.92 [1181]~E(x11811,x11812)+E(f571(x11813,x11811,x11814,x11815),f571(x11813,x11812,x11814,x11815))
% 184.05/183.92 [1182]~E(x11821,x11822)+E(f571(x11823,x11824,x11821,x11825),f571(x11823,x11824,x11822,x11825))
% 184.05/183.92 [1183]~E(x11831,x11832)+E(f571(x11833,x11834,x11835,x11831),f571(x11833,x11834,x11835,x11832))
% 184.05/183.92 [1184]~E(x11841,x11842)+E(f395(x11841,x11843),f395(x11842,x11843))
% 184.05/183.92 [1185]~E(x11851,x11852)+E(f395(x11853,x11851),f395(x11853,x11852))
% 184.05/183.92 [1186]~E(x11861,x11862)+E(f264(x11861,x11863,x11864),f264(x11862,x11863,x11864))
% 184.05/183.92 [1187]~E(x11871,x11872)+E(f264(x11873,x11871,x11874),f264(x11873,x11872,x11874))
% 184.05/183.92 [1188]~E(x11881,x11882)+E(f264(x11883,x11884,x11881),f264(x11883,x11884,x11882))
% 184.05/183.92 [1189]~E(x11891,x11892)+E(f587(x11891,x11893,x11894),f587(x11892,x11893,x11894))
% 184.05/183.92 [1190]~E(x11901,x11902)+E(f587(x11903,x11901,x11904),f587(x11903,x11902,x11904))
% 184.05/183.92 [1191]~E(x11911,x11912)+E(f587(x11913,x11914,x11911),f587(x11913,x11914,x11912))
% 184.05/183.92 [1192]~E(x11921,x11922)+E(f768(x11921),f768(x11922))
% 184.05/183.92 [1193]~E(x11931,x11932)+E(f634(x11931,x11933,x11934,x11935,x11936),f634(x11932,x11933,x11934,x11935,x11936))
% 184.05/183.92 [1194]~E(x11941,x11942)+E(f634(x11943,x11941,x11944,x11945,x11946),f634(x11943,x11942,x11944,x11945,x11946))
% 184.05/183.92 [1195]~E(x11951,x11952)+E(f634(x11953,x11954,x11951,x11955,x11956),f634(x11953,x11954,x11952,x11955,x11956))
% 184.05/183.92 [1196]~E(x11961,x11962)+E(f634(x11963,x11964,x11965,x11961,x11966),f634(x11963,x11964,x11965,x11962,x11966))
% 184.05/183.92 [1197]~E(x11971,x11972)+E(f634(x11973,x11974,x11975,x11976,x11971),f634(x11973,x11974,x11975,x11976,x11972))
% 184.05/183.92 [1198]~E(x11981,x11982)+E(f698(x11981,x11983),f698(x11982,x11983))
% 184.05/183.92 [1199]~E(x11991,x11992)+E(f698(x11993,x11991),f698(x11993,x11992))
% 184.05/183.92 [1200]~E(x12001,x12002)+E(f794(x12001,x12003,x12004,x12005,x12006),f794(x12002,x12003,x12004,x12005,x12006))
% 184.05/183.92 [1201]~E(x12011,x12012)+E(f794(x12013,x12011,x12014,x12015,x12016),f794(x12013,x12012,x12014,x12015,x12016))
% 184.05/183.92 [1202]~E(x12021,x12022)+E(f794(x12023,x12024,x12021,x12025,x12026),f794(x12023,x12024,x12022,x12025,x12026))
% 184.05/183.92 [1203]~E(x12031,x12032)+E(f794(x12033,x12034,x12035,x12031,x12036),f794(x12033,x12034,x12035,x12032,x12036))
% 184.05/183.92 [1204]~E(x12041,x12042)+E(f794(x12043,x12044,x12045,x12046,x12041),f794(x12043,x12044,x12045,x12046,x12042))
% 184.05/183.92 [1205]~E(x12051,x12052)+E(f189(x12051,x12053),f189(x12052,x12053))
% 184.05/183.92 [1206]~E(x12061,x12062)+E(f189(x12063,x12061),f189(x12063,x12062))
% 184.05/183.92 [1207]~E(x12071,x12072)+E(f213(x12071,x12073,x12074,x12075,x12076),f213(x12072,x12073,x12074,x12075,x12076))
% 184.05/183.92 [1208]~E(x12081,x12082)+E(f213(x12083,x12081,x12084,x12085,x12086),f213(x12083,x12082,x12084,x12085,x12086))
% 184.05/183.92 [1209]~E(x12091,x12092)+E(f213(x12093,x12094,x12091,x12095,x12096),f213(x12093,x12094,x12092,x12095,x12096))
% 184.05/183.92 [1210]~E(x12101,x12102)+E(f213(x12103,x12104,x12105,x12101,x12106),f213(x12103,x12104,x12105,x12102,x12106))
% 184.05/183.92 [1211]~E(x12111,x12112)+E(f213(x12113,x12114,x12115,x12116,x12111),f213(x12113,x12114,x12115,x12116,x12112))
% 184.05/183.92 [1212]~E(x12121,x12122)+E(f342(x12121,x12123,x12124,x12125),f342(x12122,x12123,x12124,x12125))
% 184.05/183.92 [1213]~E(x12131,x12132)+E(f342(x12133,x12131,x12134,x12135),f342(x12133,x12132,x12134,x12135))
% 184.05/183.92 [1214]~E(x12141,x12142)+E(f342(x12143,x12144,x12141,x12145),f342(x12143,x12144,x12142,x12145))
% 184.05/183.92 [1215]~E(x12151,x12152)+E(f342(x12153,x12154,x12155,x12151),f342(x12153,x12154,x12155,x12152))
% 184.05/183.92 [1216]~E(x12161,x12162)+E(f779(x12161,x12163,x12164,x12165),f779(x12162,x12163,x12164,x12165))
% 184.05/183.92 [1217]~E(x12171,x12172)+E(f779(x12173,x12171,x12174,x12175),f779(x12173,x12172,x12174,x12175))
% 184.05/183.92 [1218]~E(x12181,x12182)+E(f779(x12183,x12184,x12181,x12185),f779(x12183,x12184,x12182,x12185))
% 184.05/183.92 [1219]~E(x12191,x12192)+E(f779(x12193,x12194,x12195,x12191),f779(x12193,x12194,x12195,x12192))
% 184.05/183.92 [1220]~E(x12201,x12202)+E(f131(x12201),f131(x12202))
% 184.05/183.92 [1221]~E(x12211,x12212)+E(f641(x12211,x12213,x12214,x12215),f641(x12212,x12213,x12214,x12215))
% 184.05/183.92 [1222]~E(x12221,x12222)+E(f641(x12223,x12221,x12224,x12225),f641(x12223,x12222,x12224,x12225))
% 184.05/183.92 [1223]~E(x12231,x12232)+E(f641(x12233,x12234,x12231,x12235),f641(x12233,x12234,x12232,x12235))
% 184.05/183.92 [1224]~E(x12241,x12242)+E(f641(x12243,x12244,x12245,x12241),f641(x12243,x12244,x12245,x12242))
% 184.05/183.92 [1225]~E(x12251,x12252)+E(f385(x12251,x12253,x12254,x12255),f385(x12252,x12253,x12254,x12255))
% 184.05/183.92 [1226]~E(x12261,x12262)+E(f385(x12263,x12261,x12264,x12265),f385(x12263,x12262,x12264,x12265))
% 184.05/183.92 [1227]~E(x12271,x12272)+E(f385(x12273,x12274,x12271,x12275),f385(x12273,x12274,x12272,x12275))
% 184.05/183.92 [1228]~E(x12281,x12282)+E(f385(x12283,x12284,x12285,x12281),f385(x12283,x12284,x12285,x12282))
% 184.05/183.92 [1229]~E(x12291,x12292)+E(f329(x12291,x12293,x12294),f329(x12292,x12293,x12294))
% 184.05/183.92 [1230]~E(x12301,x12302)+E(f329(x12303,x12301,x12304),f329(x12303,x12302,x12304))
% 184.05/183.92 [1231]~E(x12311,x12312)+E(f329(x12313,x12314,x12311),f329(x12313,x12314,x12312))
% 184.05/183.92 [1232]~E(x12321,x12322)+E(f431(x12321,x12323,x12324),f431(x12322,x12323,x12324))
% 184.05/183.92 [1233]~E(x12331,x12332)+E(f431(x12333,x12331,x12334),f431(x12333,x12332,x12334))
% 184.05/183.92 [1234]~E(x12341,x12342)+E(f431(x12343,x12344,x12341),f431(x12343,x12344,x12342))
% 184.05/183.92 [1235]~E(x12351,x12352)+E(f893(x12351,x12353,x12354,x12355,x12356),f893(x12352,x12353,x12354,x12355,x12356))
% 184.05/183.92 [1236]~E(x12361,x12362)+E(f893(x12363,x12361,x12364,x12365,x12366),f893(x12363,x12362,x12364,x12365,x12366))
% 184.05/183.92 [1237]~E(x12371,x12372)+E(f893(x12373,x12374,x12371,x12375,x12376),f893(x12373,x12374,x12372,x12375,x12376))
% 184.05/183.92 [1238]~E(x12381,x12382)+E(f893(x12383,x12384,x12385,x12381,x12386),f893(x12383,x12384,x12385,x12382,x12386))
% 184.05/183.92 [1239]~E(x12391,x12392)+E(f893(x12393,x12394,x12395,x12396,x12391),f893(x12393,x12394,x12395,x12396,x12392))
% 184.05/183.92 [1240]~E(x12401,x12402)+E(f692(x12401,x12403),f692(x12402,x12403))
% 184.05/183.92 [1241]~E(x12411,x12412)+E(f692(x12413,x12411),f692(x12413,x12412))
% 184.05/183.92 [1242]~E(x12421,x12422)+E(f852(x12421,x12423,x12424),f852(x12422,x12423,x12424))
% 184.05/183.92 [1243]~E(x12431,x12432)+E(f852(x12433,x12431,x12434),f852(x12433,x12432,x12434))
% 184.05/183.92 [1244]~E(x12441,x12442)+E(f852(x12443,x12444,x12441),f852(x12443,x12444,x12442))
% 184.05/183.92 [1245]~E(x12451,x12452)+E(f50(x12451,x12453,x12454),f50(x12452,x12453,x12454))
% 184.05/183.92 [1246]~E(x12461,x12462)+E(f50(x12463,x12461,x12464),f50(x12463,x12462,x12464))
% 184.05/183.92 [1247]~E(x12471,x12472)+E(f50(x12473,x12474,x12471),f50(x12473,x12474,x12472))
% 184.05/183.92 [1248]~E(x12481,x12482)+E(f633(x12481,x12483,x12484,x12485),f633(x12482,x12483,x12484,x12485))
% 184.05/183.92 [1249]~E(x12491,x12492)+E(f633(x12493,x12491,x12494,x12495),f633(x12493,x12492,x12494,x12495))
% 184.05/183.92 [1250]~E(x12501,x12502)+E(f633(x12503,x12504,x12501,x12505),f633(x12503,x12504,x12502,x12505))
% 184.05/183.92 [1251]~E(x12511,x12512)+E(f633(x12513,x12514,x12515,x12511),f633(x12513,x12514,x12515,x12512))
% 184.05/183.92 [1252]~E(x12521,x12522)+E(f418(x12521,x12523,x12524),f418(x12522,x12523,x12524))
% 184.05/183.92 [1253]~E(x12531,x12532)+E(f418(x12533,x12531,x12534),f418(x12533,x12532,x12534))
% 184.05/183.92 [1254]~E(x12541,x12542)+E(f418(x12543,x12544,x12541),f418(x12543,x12544,x12542))
% 184.05/183.92 [1255]~E(x12551,x12552)+E(f649(x12551,x12553,x12554,x12555),f649(x12552,x12553,x12554,x12555))
% 184.05/183.92 [1256]~E(x12561,x12562)+E(f649(x12563,x12561,x12564,x12565),f649(x12563,x12562,x12564,x12565))
% 184.05/183.92 [1257]~E(x12571,x12572)+E(f649(x12573,x12574,x12571,x12575),f649(x12573,x12574,x12572,x12575))
% 184.05/183.92 [1258]~E(x12581,x12582)+E(f649(x12583,x12584,x12585,x12581),f649(x12583,x12584,x12585,x12582))
% 184.05/183.92 [1259]~E(x12591,x12592)+E(f163(x12591,x12593,x12594),f163(x12592,x12593,x12594))
% 184.05/183.92 [1260]~E(x12601,x12602)+E(f163(x12603,x12601,x12604),f163(x12603,x12602,x12604))
% 184.05/183.92 [1261]~E(x12611,x12612)+E(f163(x12613,x12614,x12611),f163(x12613,x12614,x12612))
% 184.05/183.92 [1262]~E(x12621,x12622)+E(f267(x12621,x12623,x12624,x12625),f267(x12622,x12623,x12624,x12625))
% 184.05/183.92 [1263]~E(x12631,x12632)+E(f267(x12633,x12631,x12634,x12635),f267(x12633,x12632,x12634,x12635))
% 184.05/183.92 [1264]~E(x12641,x12642)+E(f267(x12643,x12644,x12641,x12645),f267(x12643,x12644,x12642,x12645))
% 184.05/183.92 [1265]~E(x12651,x12652)+E(f267(x12653,x12654,x12655,x12651),f267(x12653,x12654,x12655,x12652))
% 184.05/183.92 [1266]~E(x12661,x12662)+E(f821(x12661,x12663,x12664,x12665,x12666,x12667,x12668),f821(x12662,x12663,x12664,x12665,x12666,x12667,x12668))
% 184.05/183.92 [1267]~E(x12671,x12672)+E(f821(x12673,x12671,x12674,x12675,x12676,x12677,x12678),f821(x12673,x12672,x12674,x12675,x12676,x12677,x12678))
% 184.05/183.92 [1268]~E(x12681,x12682)+E(f821(x12683,x12684,x12681,x12685,x12686,x12687,x12688),f821(x12683,x12684,x12682,x12685,x12686,x12687,x12688))
% 184.05/183.92 [1269]~E(x12691,x12692)+E(f821(x12693,x12694,x12695,x12691,x12696,x12697,x12698),f821(x12693,x12694,x12695,x12692,x12696,x12697,x12698))
% 184.05/183.92 [1270]~E(x12701,x12702)+E(f821(x12703,x12704,x12705,x12706,x12701,x12707,x12708),f821(x12703,x12704,x12705,x12706,x12702,x12707,x12708))
% 184.05/183.92 [1271]~E(x12711,x12712)+E(f821(x12713,x12714,x12715,x12716,x12717,x12711,x12718),f821(x12713,x12714,x12715,x12716,x12717,x12712,x12718))
% 184.05/183.92 [1272]~E(x12721,x12722)+E(f821(x12723,x12724,x12725,x12726,x12727,x12728,x12721),f821(x12723,x12724,x12725,x12726,x12727,x12728,x12722))
% 184.05/183.92 [1273]~E(x12731,x12732)+E(f831(x12731,x12733,x12734,x12735,x12736,x12737,x12738,x12739),f831(x12732,x12733,x12734,x12735,x12736,x12737,x12738,x12739))
% 184.05/183.92 [1274]~E(x12741,x12742)+E(f831(x12743,x12741,x12744,x12745,x12746,x12747,x12748,x12749),f831(x12743,x12742,x12744,x12745,x12746,x12747,x12748,x12749))
% 184.05/183.92 [1275]~E(x12751,x12752)+E(f831(x12753,x12754,x12751,x12755,x12756,x12757,x12758,x12759),f831(x12753,x12754,x12752,x12755,x12756,x12757,x12758,x12759))
% 184.05/183.92 [1276]~E(x12761,x12762)+E(f831(x12763,x12764,x12765,x12761,x12766,x12767,x12768,x12769),f831(x12763,x12764,x12765,x12762,x12766,x12767,x12768,x12769))
% 184.05/183.92 [1277]~E(x12771,x12772)+E(f831(x12773,x12774,x12775,x12776,x12771,x12777,x12778,x12779),f831(x12773,x12774,x12775,x12776,x12772,x12777,x12778,x12779))
% 184.05/183.92 [1278]~E(x12781,x12782)+E(f831(x12783,x12784,x12785,x12786,x12787,x12781,x12788,x12789),f831(x12783,x12784,x12785,x12786,x12787,x12782,x12788,x12789))
% 184.05/183.92 [1279]~E(x12791,x12792)+E(f831(x12793,x12794,x12795,x12796,x12797,x12798,x12791,x12799),f831(x12793,x12794,x12795,x12796,x12797,x12798,x12792,x12799))
% 184.05/183.92 [1280]~E(x12801,x12802)+E(f831(x12803,x12804,x12805,x12806,x12807,x12808,x12809,x12801),f831(x12803,x12804,x12805,x12806,x12807,x12808,x12809,x12802))
% 184.05/183.92 [1281]~E(x12811,x12812)+E(f106(x12811,x12813,x12814),f106(x12812,x12813,x12814))
% 184.05/183.92 [1282]~E(x12821,x12822)+E(f106(x12823,x12821,x12824),f106(x12823,x12822,x12824))
% 184.05/183.92 [1283]~E(x12831,x12832)+E(f106(x12833,x12834,x12831),f106(x12833,x12834,x12832))
% 184.05/183.92 [1284]~E(x12841,x12842)+E(f699(x12841,x12843,x12844),f699(x12842,x12843,x12844))
% 184.05/183.92 [1285]~E(x12851,x12852)+E(f699(x12853,x12851,x12854),f699(x12853,x12852,x12854))
% 184.05/183.92 [1286]~E(x12861,x12862)+E(f699(x12863,x12864,x12861),f699(x12863,x12864,x12862))
% 184.05/183.92 [1287]~E(x12871,x12872)+E(f797(x12871,x12873,x12874,x12875,x12876,x12877),f797(x12872,x12873,x12874,x12875,x12876,x12877))
% 184.05/183.92 [1288]~E(x12881,x12882)+E(f797(x12883,x12881,x12884,x12885,x12886,x12887),f797(x12883,x12882,x12884,x12885,x12886,x12887))
% 184.05/183.92 [1289]~E(x12891,x12892)+E(f797(x12893,x12894,x12891,x12895,x12896,x12897),f797(x12893,x12894,x12892,x12895,x12896,x12897))
% 184.05/183.92 [1290]~E(x12901,x12902)+E(f797(x12903,x12904,x12905,x12901,x12906,x12907),f797(x12903,x12904,x12905,x12902,x12906,x12907))
% 184.05/183.92 [1291]~E(x12911,x12912)+E(f797(x12913,x12914,x12915,x12916,x12911,x12917),f797(x12913,x12914,x12915,x12916,x12912,x12917))
% 184.05/183.92 [1292]~E(x12921,x12922)+E(f797(x12923,x12924,x12925,x12926,x12927,x12921),f797(x12923,x12924,x12925,x12926,x12927,x12922))
% 184.05/183.92 [1293]~E(x12931,x12932)+E(f543(x12931,x12933,x12934,x12935,x12936),f543(x12932,x12933,x12934,x12935,x12936))
% 184.05/183.92 [1294]~E(x12941,x12942)+E(f543(x12943,x12941,x12944,x12945,x12946),f543(x12943,x12942,x12944,x12945,x12946))
% 184.05/183.92 [1295]~E(x12951,x12952)+E(f543(x12953,x12954,x12951,x12955,x12956),f543(x12953,x12954,x12952,x12955,x12956))
% 184.05/183.92 [1296]~E(x12961,x12962)+E(f543(x12963,x12964,x12965,x12961,x12966),f543(x12963,x12964,x12965,x12962,x12966))
% 184.05/183.92 [1297]~E(x12971,x12972)+E(f543(x12973,x12974,x12975,x12976,x12971),f543(x12973,x12974,x12975,x12976,x12972))
% 184.05/183.92 [1298]~E(x12981,x12982)+E(f116(x12981,x12983,x12984),f116(x12982,x12983,x12984))
% 184.05/183.92 [1299]~E(x12991,x12992)+E(f116(x12993,x12991,x12994),f116(x12993,x12992,x12994))
% 184.05/183.92 [1300]~E(x13001,x13002)+E(f116(x13003,x13004,x13001),f116(x13003,x13004,x13002))
% 184.05/183.92 [1301]~E(x13011,x13012)+E(f37(x13011),f37(x13012))
% 184.05/183.92 [1302]~E(x13021,x13022)+E(f527(x13021,x13023),f527(x13022,x13023))
% 184.05/183.92 [1303]~E(x13031,x13032)+E(f527(x13033,x13031),f527(x13033,x13032))
% 184.05/183.92 [1304]~E(x13041,x13042)+E(f290(x13041,x13043,x13044,x13045,x13046),f290(x13042,x13043,x13044,x13045,x13046))
% 184.05/183.92 [1305]~E(x13051,x13052)+E(f290(x13053,x13051,x13054,x13055,x13056),f290(x13053,x13052,x13054,x13055,x13056))
% 184.05/183.92 [1306]~E(x13061,x13062)+E(f290(x13063,x13064,x13061,x13065,x13066),f290(x13063,x13064,x13062,x13065,x13066))
% 184.05/183.92 [1307]~E(x13071,x13072)+E(f290(x13073,x13074,x13075,x13071,x13076),f290(x13073,x13074,x13075,x13072,x13076))
% 184.05/183.92 [1308]~E(x13081,x13082)+E(f290(x13083,x13084,x13085,x13086,x13081),f290(x13083,x13084,x13085,x13086,x13082))
% 184.05/183.92 [1309]~E(x13091,x13092)+E(f826(x13091,x13093,x13094,x13095),f826(x13092,x13093,x13094,x13095))
% 184.05/183.92 [1310]~E(x13101,x13102)+E(f826(x13103,x13101,x13104,x13105),f826(x13103,x13102,x13104,x13105))
% 184.05/183.92 [1311]~E(x13111,x13112)+E(f826(x13113,x13114,x13111,x13115),f826(x13113,x13114,x13112,x13115))
% 184.05/183.92 [1312]~E(x13121,x13122)+E(f826(x13123,x13124,x13125,x13121),f826(x13123,x13124,x13125,x13122))
% 184.05/183.92 [1313]~E(x13131,x13132)+E(f525(x13131,x13133),f525(x13132,x13133))
% 184.05/183.92 [1314]~E(x13141,x13142)+E(f525(x13143,x13141),f525(x13143,x13142))
% 184.05/183.92 [1315]~E(x13151,x13152)+E(f476(x13151,x13153,x13154,x13155,x13156),f476(x13152,x13153,x13154,x13155,x13156))
% 184.05/183.92 [1316]~E(x13161,x13162)+E(f476(x13163,x13161,x13164,x13165,x13166),f476(x13163,x13162,x13164,x13165,x13166))
% 184.05/183.92 [1317]~E(x13171,x13172)+E(f476(x13173,x13174,x13171,x13175,x13176),f476(x13173,x13174,x13172,x13175,x13176))
% 184.05/183.92 [1318]~E(x13181,x13182)+E(f476(x13183,x13184,x13185,x13181,x13186),f476(x13183,x13184,x13185,x13182,x13186))
% 184.05/183.92 [1319]~E(x13191,x13192)+E(f476(x13193,x13194,x13195,x13196,x13191),f476(x13193,x13194,x13195,x13196,x13192))
% 184.05/183.92 [1320]~E(x13201,x13202)+E(f911(x13201),f911(x13202))
% 184.05/183.92 [1321]~E(x13211,x13212)+E(f471(x13211,x13213,x13214,x13215),f471(x13212,x13213,x13214,x13215))
% 184.05/183.92 [1322]~E(x13221,x13222)+E(f471(x13223,x13221,x13224,x13225),f471(x13223,x13222,x13224,x13225))
% 184.05/183.92 [1323]~E(x13231,x13232)+E(f471(x13233,x13234,x13231,x13235),f471(x13233,x13234,x13232,x13235))
% 184.05/183.92 [1324]~E(x13241,x13242)+E(f471(x13243,x13244,x13245,x13241),f471(x13243,x13244,x13245,x13242))
% 184.05/183.92 [1325]~E(x13251,x13252)+E(f447(x13251,x13253,x13254),f447(x13252,x13253,x13254))
% 184.05/183.92 [1326]~E(x13261,x13262)+E(f447(x13263,x13261,x13264),f447(x13263,x13262,x13264))
% 184.05/183.92 [1327]~E(x13271,x13272)+E(f447(x13273,x13274,x13271),f447(x13273,x13274,x13272))
% 184.05/183.92 [1328]~E(x13281,x13282)+E(f748(x13281,x13283,x13284),f748(x13282,x13283,x13284))
% 184.05/183.92 [1329]~E(x13291,x13292)+E(f748(x13293,x13291,x13294),f748(x13293,x13292,x13294))
% 184.05/183.92 [1330]~E(x13301,x13302)+E(f748(x13303,x13304,x13301),f748(x13303,x13304,x13302))
% 184.05/183.92 [1331]~E(x13311,x13312)+E(f376(x13311,x13313),f376(x13312,x13313))
% 184.05/183.92 [1332]~E(x13321,x13322)+E(f376(x13323,x13321),f376(x13323,x13322))
% 184.05/183.92 [1333]~E(x13331,x13332)+E(f670(x13331,x13333,x13334,x13335),f670(x13332,x13333,x13334,x13335))
% 184.05/183.92 [1334]~E(x13341,x13342)+E(f670(x13343,x13341,x13344,x13345),f670(x13343,x13342,x13344,x13345))
% 184.05/183.92 [1335]~E(x13351,x13352)+E(f670(x13353,x13354,x13351,x13355),f670(x13353,x13354,x13352,x13355))
% 184.05/183.92 [1336]~E(x13361,x13362)+E(f670(x13363,x13364,x13365,x13361),f670(x13363,x13364,x13365,x13362))
% 184.05/183.92 [1337]~E(x13371,x13372)+E(f284(x13371,x13373,x13374),f284(x13372,x13373,x13374))
% 184.05/183.92 [1338]~E(x13381,x13382)+E(f284(x13383,x13381,x13384),f284(x13383,x13382,x13384))
% 184.05/183.92 [1339]~E(x13391,x13392)+E(f284(x13393,x13394,x13391),f284(x13393,x13394,x13392))
% 184.05/183.92 [1340]~E(x13401,x13402)+E(f508(x13401,x13403,x13404,x13405),f508(x13402,x13403,x13404,x13405))
% 184.05/183.92 [1341]~E(x13411,x13412)+E(f508(x13413,x13411,x13414,x13415),f508(x13413,x13412,x13414,x13415))
% 184.05/183.92 [1342]~E(x13421,x13422)+E(f508(x13423,x13424,x13421,x13425),f508(x13423,x13424,x13422,x13425))
% 184.05/183.92 [1343]~E(x13431,x13432)+E(f508(x13433,x13434,x13435,x13431),f508(x13433,x13434,x13435,x13432))
% 184.05/183.92 [1344]~E(x13441,x13442)+E(f552(x13441,x13443,x13444,x13445),f552(x13442,x13443,x13444,x13445))
% 184.05/183.92 [1345]~E(x13451,x13452)+E(f552(x13453,x13451,x13454,x13455),f552(x13453,x13452,x13454,x13455))
% 184.05/183.92 [1346]~E(x13461,x13462)+E(f552(x13463,x13464,x13461,x13465),f552(x13463,x13464,x13462,x13465))
% 184.05/183.92 [1347]~E(x13471,x13472)+E(f552(x13473,x13474,x13475,x13471),f552(x13473,x13474,x13475,x13472))
% 184.05/183.92 [1348]~E(x13481,x13482)+E(f330(x13481,x13483,x13484),f330(x13482,x13483,x13484))
% 184.05/183.92 [1349]~E(x13491,x13492)+E(f330(x13493,x13491,x13494),f330(x13493,x13492,x13494))
% 184.05/183.92 [1350]~E(x13501,x13502)+E(f330(x13503,x13504,x13501),f330(x13503,x13504,x13502))
% 184.05/183.92 [1351]~E(x13511,x13512)+E(f539(x13511,x13513,x13514,x13515,x13516),f539(x13512,x13513,x13514,x13515,x13516))
% 184.05/183.92 [1352]~E(x13521,x13522)+E(f539(x13523,x13521,x13524,x13525,x13526),f539(x13523,x13522,x13524,x13525,x13526))
% 184.05/183.92 [1353]~E(x13531,x13532)+E(f539(x13533,x13534,x13531,x13535,x13536),f539(x13533,x13534,x13532,x13535,x13536))
% 184.05/183.92 [1354]~E(x13541,x13542)+E(f539(x13543,x13544,x13545,x13541,x13546),f539(x13543,x13544,x13545,x13542,x13546))
% 184.05/183.92 [1355]~E(x13551,x13552)+E(f539(x13553,x13554,x13555,x13556,x13551),f539(x13553,x13554,x13555,x13556,x13552))
% 184.05/183.92 [1356]~E(x13561,x13562)+E(f324(x13561),f324(x13562))
% 184.05/183.92 [1357]~E(x13571,x13572)+E(f210(x13571,x13573,x13574,x13575),f210(x13572,x13573,x13574,x13575))
% 184.05/183.92 [1358]~E(x13581,x13582)+E(f210(x13583,x13581,x13584,x13585),f210(x13583,x13582,x13584,x13585))
% 184.05/183.92 [1359]~E(x13591,x13592)+E(f210(x13593,x13594,x13591,x13595),f210(x13593,x13594,x13592,x13595))
% 184.05/183.92 [1360]~E(x13601,x13602)+E(f210(x13603,x13604,x13605,x13601),f210(x13603,x13604,x13605,x13602))
% 184.05/183.92 [1361]~E(x13611,x13612)+E(f796(x13611,x13613,x13614,x13615,x13616,x13617),f796(x13612,x13613,x13614,x13615,x13616,x13617))
% 184.05/183.92 [1362]~E(x13621,x13622)+E(f796(x13623,x13621,x13624,x13625,x13626,x13627),f796(x13623,x13622,x13624,x13625,x13626,x13627))
% 184.05/183.92 [1363]~E(x13631,x13632)+E(f796(x13633,x13634,x13631,x13635,x13636,x13637),f796(x13633,x13634,x13632,x13635,x13636,x13637))
% 184.05/183.92 [1364]~E(x13641,x13642)+E(f796(x13643,x13644,x13645,x13641,x13646,x13647),f796(x13643,x13644,x13645,x13642,x13646,x13647))
% 184.05/183.92 [1365]~E(x13651,x13652)+E(f796(x13653,x13654,x13655,x13656,x13651,x13657),f796(x13653,x13654,x13655,x13656,x13652,x13657))
% 184.05/183.92 [1366]~E(x13661,x13662)+E(f796(x13663,x13664,x13665,x13666,x13667,x13661),f796(x13663,x13664,x13665,x13666,x13667,x13662))
% 184.05/183.92 [1367]~E(x13671,x13672)+E(f417(x13671,x13673,x13674,x13675,x13676),f417(x13672,x13673,x13674,x13675,x13676))
% 184.05/183.92 [1368]~E(x13681,x13682)+E(f417(x13683,x13681,x13684,x13685,x13686),f417(x13683,x13682,x13684,x13685,x13686))
% 184.05/183.92 [1369]~E(x13691,x13692)+E(f417(x13693,x13694,x13691,x13695,x13696),f417(x13693,x13694,x13692,x13695,x13696))
% 184.05/183.92 [1370]~E(x13701,x13702)+E(f417(x13703,x13704,x13705,x13701,x13706),f417(x13703,x13704,x13705,x13702,x13706))
% 184.05/183.92 [1371]~E(x13711,x13712)+E(f417(x13713,x13714,x13715,x13716,x13711),f417(x13713,x13714,x13715,x13716,x13712))
% 184.05/183.92 [1372]~E(x13721,x13722)+E(f632(x13721,x13723),f632(x13722,x13723))
% 184.05/183.92 [1373]~E(x13731,x13732)+E(f632(x13733,x13731),f632(x13733,x13732))
% 184.05/183.92 [1374]~E(x13741,x13742)+E(f887(x13741),f887(x13742))
% 184.05/183.92 [1375]~E(x13751,x13752)+E(f700(x13751,x13753,x13754,x13755),f700(x13752,x13753,x13754,x13755))
% 184.05/183.92 [1376]~E(x13761,x13762)+E(f700(x13763,x13761,x13764,x13765),f700(x13763,x13762,x13764,x13765))
% 184.05/183.92 [1377]~E(x13771,x13772)+E(f700(x13773,x13774,x13771,x13775),f700(x13773,x13774,x13772,x13775))
% 184.05/183.92 [1378]~E(x13781,x13782)+E(f700(x13783,x13784,x13785,x13781),f700(x13783,x13784,x13785,x13782))
% 184.05/183.92 [1379]~E(x13791,x13792)+E(f199(x13791,x13793,x13794,x13795),f199(x13792,x13793,x13794,x13795))
% 184.05/183.92 [1380]~E(x13801,x13802)+E(f199(x13803,x13801,x13804,x13805),f199(x13803,x13802,x13804,x13805))
% 184.05/183.92 [1381]~E(x13811,x13812)+E(f199(x13813,x13814,x13811,x13815),f199(x13813,x13814,x13812,x13815))
% 184.05/183.92 [1382]~E(x13821,x13822)+E(f199(x13823,x13824,x13825,x13821),f199(x13823,x13824,x13825,x13822))
% 184.05/183.92 [1383]~E(x13831,x13832)+E(f371(x13831,x13833,x13834,x13835),f371(x13832,x13833,x13834,x13835))
% 184.05/183.92 [1384]~E(x13841,x13842)+E(f371(x13843,x13841,x13844,x13845),f371(x13843,x13842,x13844,x13845))
% 184.05/183.92 [1385]~E(x13851,x13852)+E(f371(x13853,x13854,x13851,x13855),f371(x13853,x13854,x13852,x13855))
% 184.05/183.92 [1386]~E(x13861,x13862)+E(f371(x13863,x13864,x13865,x13861),f371(x13863,x13864,x13865,x13862))
% 184.05/183.92 [1387]~E(x13871,x13872)+E(f490(x13871,x13873,x13874,x13875,x13876,x13877,x13878),f490(x13872,x13873,x13874,x13875,x13876,x13877,x13878))
% 184.05/183.92 [1388]~E(x13881,x13882)+E(f490(x13883,x13881,x13884,x13885,x13886,x13887,x13888),f490(x13883,x13882,x13884,x13885,x13886,x13887,x13888))
% 184.05/183.92 [1389]~E(x13891,x13892)+E(f490(x13893,x13894,x13891,x13895,x13896,x13897,x13898),f490(x13893,x13894,x13892,x13895,x13896,x13897,x13898))
% 184.05/183.92 [1390]~E(x13901,x13902)+E(f490(x13903,x13904,x13905,x13901,x13906,x13907,x13908),f490(x13903,x13904,x13905,x13902,x13906,x13907,x13908))
% 184.05/183.92 [1391]~E(x13911,x13912)+E(f490(x13913,x13914,x13915,x13916,x13911,x13917,x13918),f490(x13913,x13914,x13915,x13916,x13912,x13917,x13918))
% 184.05/183.92 [1392]~E(x13921,x13922)+E(f490(x13923,x13924,x13925,x13926,x13927,x13921,x13928),f490(x13923,x13924,x13925,x13926,x13927,x13922,x13928))
% 184.05/183.92 [1393]~E(x13931,x13932)+E(f490(x13933,x13934,x13935,x13936,x13937,x13938,x13931),f490(x13933,x13934,x13935,x13936,x13937,x13938,x13932))
% 184.05/183.92 [1394]~E(x13941,x13942)+E(f669(x13941,x13943),f669(x13942,x13943))
% 184.05/183.92 [1395]~E(x13951,x13952)+E(f669(x13953,x13951),f669(x13953,x13952))
% 184.05/183.92 [1396]~E(x13961,x13962)+E(f778(x13961,x13963,x13964,x13965,x13966),f778(x13962,x13963,x13964,x13965,x13966))
% 184.05/183.92 [1397]~E(x13971,x13972)+E(f778(x13973,x13971,x13974,x13975,x13976),f778(x13973,x13972,x13974,x13975,x13976))
% 184.05/183.92 [1398]~E(x13981,x13982)+E(f778(x13983,x13984,x13981,x13985,x13986),f778(x13983,x13984,x13982,x13985,x13986))
% 184.05/183.92 [1399]~E(x13991,x13992)+E(f778(x13993,x13994,x13995,x13991,x13996),f778(x13993,x13994,x13995,x13992,x13996))
% 184.05/183.92 [1400]~E(x14001,x14002)+E(f778(x14003,x14004,x14005,x14006,x14001),f778(x14003,x14004,x14005,x14006,x14002))
% 184.05/183.92 [1401]~E(x14011,x14012)+E(f198(x14011),f198(x14012))
% 184.05/183.92 [1402]~E(x14021,x14022)+E(f533(x14021,x14023,x14024,x14025,x14026,x14027),f533(x14022,x14023,x14024,x14025,x14026,x14027))
% 184.05/183.92 [1403]~E(x14031,x14032)+E(f533(x14033,x14031,x14034,x14035,x14036,x14037),f533(x14033,x14032,x14034,x14035,x14036,x14037))
% 184.05/183.92 [1404]~E(x14041,x14042)+E(f533(x14043,x14044,x14041,x14045,x14046,x14047),f533(x14043,x14044,x14042,x14045,x14046,x14047))
% 184.05/183.92 [1405]~E(x14051,x14052)+E(f533(x14053,x14054,x14055,x14051,x14056,x14057),f533(x14053,x14054,x14055,x14052,x14056,x14057))
% 184.05/183.92 [1406]~E(x14061,x14062)+E(f533(x14063,x14064,x14065,x14066,x14061,x14067),f533(x14063,x14064,x14065,x14066,x14062,x14067))
% 184.05/183.92 [1407]~E(x14071,x14072)+E(f533(x14073,x14074,x14075,x14076,x14077,x14071),f533(x14073,x14074,x14075,x14076,x14077,x14072))
% 184.05/183.92 [1408]~E(x14081,x14082)+E(f786(x14081,x14083),f786(x14082,x14083))
% 184.05/183.92 [1409]~E(x14091,x14092)+E(f786(x14093,x14091),f786(x14093,x14092))
% 184.05/183.92 [1410]~E(x14101,x14102)+E(f642(x14101,x14103,x14104),f642(x14102,x14103,x14104))
% 184.05/183.92 [1411]~E(x14111,x14112)+E(f642(x14113,x14111,x14114),f642(x14113,x14112,x14114))
% 184.05/183.92 [1412]~E(x14121,x14122)+E(f642(x14123,x14124,x14121),f642(x14123,x14124,x14122))
% 184.05/183.92 [1413]~E(x14131,x14132)+E(f811(x14131,x14133,x14134,x14135,x14136,x14137),f811(x14132,x14133,x14134,x14135,x14136,x14137))
% 184.05/183.92 [1414]~E(x14141,x14142)+E(f811(x14143,x14141,x14144,x14145,x14146,x14147),f811(x14143,x14142,x14144,x14145,x14146,x14147))
% 184.05/183.92 [1415]~E(x14151,x14152)+E(f811(x14153,x14154,x14151,x14155,x14156,x14157),f811(x14153,x14154,x14152,x14155,x14156,x14157))
% 184.05/183.92 [1416]~E(x14161,x14162)+E(f811(x14163,x14164,x14165,x14161,x14166,x14167),f811(x14163,x14164,x14165,x14162,x14166,x14167))
% 184.05/183.92 [1417]~E(x14171,x14172)+E(f811(x14173,x14174,x14175,x14176,x14171,x14177),f811(x14173,x14174,x14175,x14176,x14172,x14177))
% 184.05/183.92 [1418]~E(x14181,x14182)+E(f811(x14183,x14184,x14185,x14186,x14187,x14181),f811(x14183,x14184,x14185,x14186,x14187,x14182))
% 184.05/183.92 [1419]~E(x14191,x14192)+E(f49(x14191,x14193),f49(x14192,x14193))
% 184.05/183.92 [1420]~E(x14201,x14202)+E(f49(x14203,x14201),f49(x14203,x14202))
% 184.05/183.92 [1421]~E(x14211,x14212)+E(f619(x14211,x14213,x14214,x14215,x14216),f619(x14212,x14213,x14214,x14215,x14216))
% 184.05/183.92 [1422]~E(x14221,x14222)+E(f619(x14223,x14221,x14224,x14225,x14226),f619(x14223,x14222,x14224,x14225,x14226))
% 184.05/183.92 [1423]~E(x14231,x14232)+E(f619(x14233,x14234,x14231,x14235,x14236),f619(x14233,x14234,x14232,x14235,x14236))
% 184.05/183.92 [1424]~E(x14241,x14242)+E(f619(x14243,x14244,x14245,x14241,x14246),f619(x14243,x14244,x14245,x14242,x14246))
% 184.05/183.92 [1425]~E(x14251,x14252)+E(f619(x14253,x14254,x14255,x14256,x14251),f619(x14253,x14254,x14255,x14256,x14252))
% 184.05/183.92 [1426]~E(x14261,x14262)+E(f258(x14261,x14263),f258(x14262,x14263))
% 184.05/183.92 [1427]~E(x14271,x14272)+E(f258(x14273,x14271),f258(x14273,x14272))
% 184.05/183.92 [1428]~E(x14281,x14282)+E(f521(x14281,x14283,x14284,x14285),f521(x14282,x14283,x14284,x14285))
% 184.05/183.92 [1429]~E(x14291,x14292)+E(f521(x14293,x14291,x14294,x14295),f521(x14293,x14292,x14294,x14295))
% 184.05/183.92 [1430]~E(x14301,x14302)+E(f521(x14303,x14304,x14301,x14305),f521(x14303,x14304,x14302,x14305))
% 184.05/183.92 [1431]~E(x14311,x14312)+E(f521(x14313,x14314,x14315,x14311),f521(x14313,x14314,x14315,x14312))
% 184.05/183.92 [1432]~E(x14321,x14322)+E(f433(x14321,x14323,x14324,x14325,x14326,x14327,x14328),f433(x14322,x14323,x14324,x14325,x14326,x14327,x14328))
% 184.05/183.92 [1433]~E(x14331,x14332)+E(f433(x14333,x14331,x14334,x14335,x14336,x14337,x14338),f433(x14333,x14332,x14334,x14335,x14336,x14337,x14338))
% 184.05/183.92 [1434]~E(x14341,x14342)+E(f433(x14343,x14344,x14341,x14345,x14346,x14347,x14348),f433(x14343,x14344,x14342,x14345,x14346,x14347,x14348))
% 184.05/183.92 [1435]~E(x14351,x14352)+E(f433(x14353,x14354,x14355,x14351,x14356,x14357,x14358),f433(x14353,x14354,x14355,x14352,x14356,x14357,x14358))
% 184.05/183.92 [1436]~E(x14361,x14362)+E(f433(x14363,x14364,x14365,x14366,x14361,x14367,x14368),f433(x14363,x14364,x14365,x14366,x14362,x14367,x14368))
% 184.05/183.92 [1437]~E(x14371,x14372)+E(f433(x14373,x14374,x14375,x14376,x14377,x14371,x14378),f433(x14373,x14374,x14375,x14376,x14377,x14372,x14378))
% 184.05/183.92 [1438]~E(x14381,x14382)+E(f433(x14383,x14384,x14385,x14386,x14387,x14388,x14381),f433(x14383,x14384,x14385,x14386,x14387,x14388,x14382))
% 184.05/183.92 [1439]~E(x14391,x14392)+E(f657(x14391,x14393,x14394),f657(x14392,x14393,x14394))
% 184.05/183.92 [1440]~E(x14401,x14402)+E(f657(x14403,x14401,x14404),f657(x14403,x14402,x14404))
% 184.05/183.92 [1441]~E(x14411,x14412)+E(f657(x14413,x14414,x14411),f657(x14413,x14414,x14412))
% 184.05/183.92 [1442]~E(x14421,x14422)+E(f860(x14421,x14423,x14424),f860(x14422,x14423,x14424))
% 184.05/183.92 [1443]~E(x14431,x14432)+E(f860(x14433,x14431,x14434),f860(x14433,x14432,x14434))
% 184.05/183.92 [1444]~E(x14441,x14442)+E(f860(x14443,x14444,x14441),f860(x14443,x14444,x14442))
% 184.05/183.92 [1445]~E(x14451,x14452)+E(f516(x14451,x14453,x14454,x14455),f516(x14452,x14453,x14454,x14455))
% 184.05/183.92 [1446]~E(x14461,x14462)+E(f516(x14463,x14461,x14464,x14465),f516(x14463,x14462,x14464,x14465))
% 184.05/183.92 [1447]~E(x14471,x14472)+E(f516(x14473,x14474,x14471,x14475),f516(x14473,x14474,x14472,x14475))
% 184.05/183.92 [1448]~E(x14481,x14482)+E(f516(x14483,x14484,x14485,x14481),f516(x14483,x14484,x14485,x14482))
% 184.05/183.92 [1449]~E(x14491,x14492)+E(f637(x14491,x14493,x14494,x14495,x14496),f637(x14492,x14493,x14494,x14495,x14496))
% 184.05/183.92 [1450]~E(x14501,x14502)+E(f637(x14503,x14501,x14504,x14505,x14506),f637(x14503,x14502,x14504,x14505,x14506))
% 184.05/183.92 [1451]~E(x14511,x14512)+E(f637(x14513,x14514,x14511,x14515,x14516),f637(x14513,x14514,x14512,x14515,x14516))
% 184.05/183.92 [1452]~E(x14521,x14522)+E(f637(x14523,x14524,x14525,x14521,x14526),f637(x14523,x14524,x14525,x14522,x14526))
% 184.05/183.92 [1453]~E(x14531,x14532)+E(f637(x14533,x14534,x14535,x14536,x14531),f637(x14533,x14534,x14535,x14536,x14532))
% 184.05/183.92 [1454]~E(x14541,x14542)+E(f449(x14541,x14543,x14544,x14545),f449(x14542,x14543,x14544,x14545))
% 184.05/183.92 [1455]~E(x14551,x14552)+E(f449(x14553,x14551,x14554,x14555),f449(x14553,x14552,x14554,x14555))
% 184.05/183.92 [1456]~E(x14561,x14562)+E(f449(x14563,x14564,x14561,x14565),f449(x14563,x14564,x14562,x14565))
% 184.05/183.92 [1457]~E(x14571,x14572)+E(f449(x14573,x14574,x14575,x14571),f449(x14573,x14574,x14575,x14572))
% 184.05/183.92 [1458]~E(x14581,x14582)+E(f604(x14581,x14583,x14584),f604(x14582,x14583,x14584))
% 184.05/183.92 [1459]~E(x14591,x14592)+E(f604(x14593,x14591,x14594),f604(x14593,x14592,x14594))
% 184.05/183.92 [1460]~E(x14601,x14602)+E(f604(x14603,x14604,x14601),f604(x14603,x14604,x14602))
% 184.05/183.92 [1461]~E(x14611,x14612)+E(f511(x14611,x14613,x14614,x14615,x14616),f511(x14612,x14613,x14614,x14615,x14616))
% 184.05/183.92 [1462]~E(x14621,x14622)+E(f511(x14623,x14621,x14624,x14625,x14626),f511(x14623,x14622,x14624,x14625,x14626))
% 184.05/183.92 [1463]~E(x14631,x14632)+E(f511(x14633,x14634,x14631,x14635,x14636),f511(x14633,x14634,x14632,x14635,x14636))
% 184.05/183.92 [1464]~E(x14641,x14642)+E(f511(x14643,x14644,x14645,x14641,x14646),f511(x14643,x14644,x14645,x14642,x14646))
% 184.05/183.92 [1465]~E(x14651,x14652)+E(f511(x14653,x14654,x14655,x14656,x14651),f511(x14653,x14654,x14655,x14656,x14652))
% 184.05/183.92 [1466]~E(x14661,x14662)+E(f857(x14661,x14663,x14664,x14665),f857(x14662,x14663,x14664,x14665))
% 184.05/183.92 [1467]~E(x14671,x14672)+E(f857(x14673,x14671,x14674,x14675),f857(x14673,x14672,x14674,x14675))
% 184.05/183.92 [1468]~E(x14681,x14682)+E(f857(x14683,x14684,x14681,x14685),f857(x14683,x14684,x14682,x14685))
% 184.05/183.92 [1469]~E(x14691,x14692)+E(f857(x14693,x14694,x14695,x14691),f857(x14693,x14694,x14695,x14692))
% 184.05/183.92 [1470]~E(x14701,x14702)+E(f125(x14701),f125(x14702))
% 184.05/183.92 [1471]~E(x14711,x14712)+E(f457(x14711,x14713,x14714),f457(x14712,x14713,x14714))
% 184.05/183.92 [1472]~E(x14721,x14722)+E(f457(x14723,x14721,x14724),f457(x14723,x14722,x14724))
% 184.05/183.92 [1473]~E(x14731,x14732)+E(f457(x14733,x14734,x14731),f457(x14733,x14734,x14732))
% 184.05/183.92 [1474]~E(x14741,x14742)+E(f451(x14741,x14743,x14744),f451(x14742,x14743,x14744))
% 184.05/183.92 [1475]~E(x14751,x14752)+E(f451(x14753,x14751,x14754),f451(x14753,x14752,x14754))
% 184.05/183.92 [1476]~E(x14761,x14762)+E(f451(x14763,x14764,x14761),f451(x14763,x14764,x14762))
% 184.05/183.92 [1477]~E(x14771,x14772)+E(f744(x14771,x14773,x14774),f744(x14772,x14773,x14774))
% 184.05/183.92 [1478]~E(x14781,x14782)+E(f744(x14783,x14781,x14784),f744(x14783,x14782,x14784))
% 184.05/183.92 [1479]~E(x14791,x14792)+E(f744(x14793,x14794,x14791),f744(x14793,x14794,x14792))
% 184.05/183.92 [1480]~E(x14801,x14802)+E(f651(x14801,x14803,x14804,x14805),f651(x14802,x14803,x14804,x14805))
% 184.05/183.92 [1481]~E(x14811,x14812)+E(f651(x14813,x14811,x14814,x14815),f651(x14813,x14812,x14814,x14815))
% 184.05/183.92 [1482]~E(x14821,x14822)+E(f651(x14823,x14824,x14821,x14825),f651(x14823,x14824,x14822,x14825))
% 184.05/183.92 [1483]~E(x14831,x14832)+E(f651(x14833,x14834,x14835,x14831),f651(x14833,x14834,x14835,x14832))
% 184.05/183.92 [1484]~E(x14841,x14842)+E(f738(x14841,x14843,x14844),f738(x14842,x14843,x14844))
% 184.05/183.92 [1485]~E(x14851,x14852)+E(f738(x14853,x14851,x14854),f738(x14853,x14852,x14854))
% 184.05/183.92 [1486]~E(x14861,x14862)+E(f738(x14863,x14864,x14861),f738(x14863,x14864,x14862))
% 184.05/183.92 [1487]~E(x14871,x14872)+E(f629(x14871,x14873,x14874,x14875,x14876,x14877),f629(x14872,x14873,x14874,x14875,x14876,x14877))
% 184.05/183.92 [1488]~E(x14881,x14882)+E(f629(x14883,x14881,x14884,x14885,x14886,x14887),f629(x14883,x14882,x14884,x14885,x14886,x14887))
% 184.05/183.92 [1489]~E(x14891,x14892)+E(f629(x14893,x14894,x14891,x14895,x14896,x14897),f629(x14893,x14894,x14892,x14895,x14896,x14897))
% 184.05/183.92 [1490]~E(x14901,x14902)+E(f629(x14903,x14904,x14905,x14901,x14906,x14907),f629(x14903,x14904,x14905,x14902,x14906,x14907))
% 184.05/183.92 [1491]~E(x14911,x14912)+E(f629(x14913,x14914,x14915,x14916,x14911,x14917),f629(x14913,x14914,x14915,x14916,x14912,x14917))
% 184.05/183.92 [1492]~E(x14921,x14922)+E(f629(x14923,x14924,x14925,x14926,x14927,x14921),f629(x14923,x14924,x14925,x14926,x14927,x14922))
% 184.05/183.92 [1493]~E(x14931,x14932)+E(f883(x14931,x14933,x14934),f883(x14932,x14933,x14934))
% 184.05/183.92 [1494]~E(x14941,x14942)+E(f883(x14943,x14941,x14944),f883(x14943,x14942,x14944))
% 184.05/183.92 [1495]~E(x14951,x14952)+E(f883(x14953,x14954,x14951),f883(x14953,x14954,x14952))
% 184.05/183.92 [1496]~E(x14961,x14962)+E(f648(x14961,x14963),f648(x14962,x14963))
% 184.05/183.92 [1497]~E(x14971,x14972)+E(f648(x14973,x14971),f648(x14973,x14972))
% 184.05/183.92 [1498]~E(x14981,x14982)+E(f795(x14981,x14983,x14984,x14985,x14986,x14987),f795(x14982,x14983,x14984,x14985,x14986,x14987))
% 184.05/183.92 [1499]~E(x14991,x14992)+E(f795(x14993,x14991,x14994,x14995,x14996,x14997),f795(x14993,x14992,x14994,x14995,x14996,x14997))
% 184.05/183.92 [1500]~E(x15001,x15002)+E(f795(x15003,x15004,x15001,x15005,x15006,x15007),f795(x15003,x15004,x15002,x15005,x15006,x15007))
% 184.05/183.92 [1501]~E(x15011,x15012)+E(f795(x15013,x15014,x15015,x15011,x15016,x15017),f795(x15013,x15014,x15015,x15012,x15016,x15017))
% 184.05/183.92 [1502]~E(x15021,x15022)+E(f795(x15023,x15024,x15025,x15026,x15021,x15027),f795(x15023,x15024,x15025,x15026,x15022,x15027))
% 184.05/183.92 [1503]~E(x15031,x15032)+E(f795(x15033,x15034,x15035,x15036,x15037,x15031),f795(x15033,x15034,x15035,x15036,x15037,x15032))
% 184.05/183.92 [1504]~E(x15041,x15042)+E(f667(x15041,x15043,x15044),f667(x15042,x15043,x15044))
% 184.05/183.92 [1505]~E(x15051,x15052)+E(f667(x15053,x15051,x15054),f667(x15053,x15052,x15054))
% 184.05/183.92 [1506]~E(x15061,x15062)+E(f667(x15063,x15064,x15061),f667(x15063,x15064,x15062))
% 184.05/183.92 [1507]~E(x15071,x15072)+E(f518(x15071,x15073,x15074,x15075,x15076,x15077,x15078,x15079),f518(x15072,x15073,x15074,x15075,x15076,x15077,x15078,x15079))
% 184.05/183.92 [1508]~E(x15081,x15082)+E(f518(x15083,x15081,x15084,x15085,x15086,x15087,x15088,x15089),f518(x15083,x15082,x15084,x15085,x15086,x15087,x15088,x15089))
% 184.05/183.92 [1509]~E(x15091,x15092)+E(f518(x15093,x15094,x15091,x15095,x15096,x15097,x15098,x15099),f518(x15093,x15094,x15092,x15095,x15096,x15097,x15098,x15099))
% 184.05/183.92 [1510]~E(x15101,x15102)+E(f518(x15103,x15104,x15105,x15101,x15106,x15107,x15108,x15109),f518(x15103,x15104,x15105,x15102,x15106,x15107,x15108,x15109))
% 184.05/183.92 [1511]~E(x15111,x15112)+E(f518(x15113,x15114,x15115,x15116,x15111,x15117,x15118,x15119),f518(x15113,x15114,x15115,x15116,x15112,x15117,x15118,x15119))
% 184.05/183.92 [1512]~E(x15121,x15122)+E(f518(x15123,x15124,x15125,x15126,x15127,x15121,x15128,x15129),f518(x15123,x15124,x15125,x15126,x15127,x15122,x15128,x15129))
% 184.05/183.92 [1513]~E(x15131,x15132)+E(f518(x15133,x15134,x15135,x15136,x15137,x15138,x15131,x15139),f518(x15133,x15134,x15135,x15136,x15137,x15138,x15132,x15139))
% 184.05/183.92 [1514]~E(x15141,x15142)+E(f518(x15143,x15144,x15145,x15146,x15147,x15148,x15149,x15141),f518(x15143,x15144,x15145,x15146,x15147,x15148,x15149,x15142))
% 184.05/183.92 [1515]~E(x15151,x15152)+E(f599(x15151,x15153),f599(x15152,x15153))
% 184.05/183.92 [1516]~E(x15161,x15162)+E(f599(x15163,x15161),f599(x15163,x15162))
% 184.05/183.92 [1517]~E(x15171,x15172)+E(f868(x15171,x15173),f868(x15172,x15173))
% 184.05/183.92 [1518]~E(x15181,x15182)+E(f868(x15183,x15181),f868(x15183,x15182))
% 184.05/183.92 [1519]~E(x15191,x15192)+E(f529(x15191,x15193,x15194,x15195),f529(x15192,x15193,x15194,x15195))
% 184.05/183.92 [1520]~E(x15201,x15202)+E(f529(x15203,x15201,x15204,x15205),f529(x15203,x15202,x15204,x15205))
% 184.05/183.92 [1521]~E(x15211,x15212)+E(f529(x15213,x15214,x15211,x15215),f529(x15213,x15214,x15212,x15215))
% 184.05/183.92 [1522]~E(x15221,x15222)+E(f529(x15223,x15224,x15225,x15221),f529(x15223,x15224,x15225,x15222))
% 184.05/183.92 [1523]~E(x15231,x15232)+E(f776(x15231,x15233,x15234),f776(x15232,x15233,x15234))
% 184.05/183.92 [1524]~E(x15241,x15242)+E(f776(x15243,x15241,x15244),f776(x15243,x15242,x15244))
% 184.05/183.92 [1525]~E(x15251,x15252)+E(f776(x15253,x15254,x15251),f776(x15253,x15254,x15252))
% 184.05/183.92 [1526]~E(x15261,x15262)+E(f438(x15261,x15263,x15264,x15265),f438(x15262,x15263,x15264,x15265))
% 184.05/183.92 [1527]~E(x15271,x15272)+E(f438(x15273,x15271,x15274,x15275),f438(x15273,x15272,x15274,x15275))
% 184.05/183.92 [1528]~E(x15281,x15282)+E(f438(x15283,x15284,x15281,x15285),f438(x15283,x15284,x15282,x15285))
% 184.05/183.92 [1529]~E(x15291,x15292)+E(f438(x15293,x15294,x15295,x15291),f438(x15293,x15294,x15295,x15292))
% 184.05/183.92 [1530]~E(x15301,x15302)+E(f777(x15301,x15303,x15304),f777(x15302,x15303,x15304))
% 184.05/183.92 [1531]~E(x15311,x15312)+E(f777(x15313,x15311,x15314),f777(x15313,x15312,x15314))
% 184.05/183.92 [1532]~E(x15321,x15322)+E(f777(x15323,x15324,x15321),f777(x15323,x15324,x15322))
% 184.05/183.92 [1533]~E(x15331,x15332)+E(f337(x15331,x15333,x15334,x15335),f337(x15332,x15333,x15334,x15335))
% 184.05/183.92 [1534]~E(x15341,x15342)+E(f337(x15343,x15341,x15344,x15345),f337(x15343,x15342,x15344,x15345))
% 184.05/183.92 [1535]~E(x15351,x15352)+E(f337(x15353,x15354,x15351,x15355),f337(x15353,x15354,x15352,x15355))
% 184.05/183.92 [1536]~E(x15361,x15362)+E(f337(x15363,x15364,x15365,x15361),f337(x15363,x15364,x15365,x15362))
% 184.05/183.92 [1537]~E(x15371,x15372)+E(f588(x15371,x15373,x15374),f588(x15372,x15373,x15374))
% 184.05/183.92 [1538]~E(x15381,x15382)+E(f588(x15383,x15381,x15384),f588(x15383,x15382,x15384))
% 184.05/183.92 [1539]~E(x15391,x15392)+E(f588(x15393,x15394,x15391),f588(x15393,x15394,x15392))
% 184.05/183.92 [1540]~E(x15401,x15402)+E(f665(x15401,x15403,x15404,x15405),f665(x15402,x15403,x15404,x15405))
% 184.05/183.92 [1541]~E(x15411,x15412)+E(f665(x15413,x15411,x15414,x15415),f665(x15413,x15412,x15414,x15415))
% 184.05/183.92 [1542]~E(x15421,x15422)+E(f665(x15423,x15424,x15421,x15425),f665(x15423,x15424,x15422,x15425))
% 184.05/183.92 [1543]~E(x15431,x15432)+E(f665(x15433,x15434,x15435,x15431),f665(x15433,x15434,x15435,x15432))
% 184.05/183.92 [1544]~E(x15441,x15442)+E(f674(x15441,x15443,x15444),f674(x15442,x15443,x15444))
% 184.05/183.92 [1545]~E(x15451,x15452)+E(f674(x15453,x15451,x15454),f674(x15453,x15452,x15454))
% 184.05/183.92 [1546]~E(x15461,x15462)+E(f674(x15463,x15464,x15461),f674(x15463,x15464,x15462))
% 184.05/183.92 [1547]~E(x15471,x15472)+E(f752(x15471,x15473,x15474,x15475),f752(x15472,x15473,x15474,x15475))
% 184.05/183.92 [1548]~E(x15481,x15482)+E(f752(x15483,x15481,x15484,x15485),f752(x15483,x15482,x15484,x15485))
% 184.05/183.92 [1549]~E(x15491,x15492)+E(f752(x15493,x15494,x15491,x15495),f752(x15493,x15494,x15492,x15495))
% 184.05/183.92 [1550]~E(x15501,x15502)+E(f752(x15503,x15504,x15505,x15501),f752(x15503,x15504,x15505,x15502))
% 184.05/183.92 [1551]~E(x15511,x15512)+E(f626(x15511,x15513,x15514,x15515,x15516),f626(x15512,x15513,x15514,x15515,x15516))
% 184.05/183.92 [1552]~E(x15521,x15522)+E(f626(x15523,x15521,x15524,x15525,x15526),f626(x15523,x15522,x15524,x15525,x15526))
% 184.05/183.92 [1553]~E(x15531,x15532)+E(f626(x15533,x15534,x15531,x15535,x15536),f626(x15533,x15534,x15532,x15535,x15536))
% 184.05/183.92 [1554]~E(x15541,x15542)+E(f626(x15543,x15544,x15545,x15541,x15546),f626(x15543,x15544,x15545,x15542,x15546))
% 184.05/183.92 [1555]~E(x15551,x15552)+E(f626(x15553,x15554,x15555,x15556,x15551),f626(x15553,x15554,x15555,x15556,x15552))
% 184.05/183.92 [1556]~E(x15561,x15562)+E(f882(x15561,x15563,x15564),f882(x15562,x15563,x15564))
% 184.05/183.92 [1557]~E(x15571,x15572)+E(f882(x15573,x15571,x15574),f882(x15573,x15572,x15574))
% 184.05/183.92 [1558]~E(x15581,x15582)+E(f882(x15583,x15584,x15581),f882(x15583,x15584,x15582))
% 184.05/183.92 [1559]~E(x15591,x15592)+E(f386(x15591,x15593,x15594,x15595),f386(x15592,x15593,x15594,x15595))
% 184.05/183.92 [1560]~E(x15601,x15602)+E(f386(x15603,x15601,x15604,x15605),f386(x15603,x15602,x15604,x15605))
% 184.05/183.92 [1561]~E(x15611,x15612)+E(f386(x15613,x15614,x15611,x15615),f386(x15613,x15614,x15612,x15615))
% 184.05/183.92 [1562]~E(x15621,x15622)+E(f386(x15623,x15624,x15625,x15621),f386(x15623,x15624,x15625,x15622))
% 184.05/183.92 [1563]~E(x15631,x15632)+E(f326(x15631,x15633),f326(x15632,x15633))
% 184.05/183.92 [1564]~E(x15641,x15642)+E(f326(x15643,x15641),f326(x15643,x15642))
% 184.05/183.92 [1565]~E(x15651,x15652)+E(f405(x15651,x15653,x15654),f405(x15652,x15653,x15654))
% 184.05/183.92 [1566]~E(x15661,x15662)+E(f405(x15663,x15661,x15664),f405(x15663,x15662,x15664))
% 184.05/183.92 [1567]~E(x15671,x15672)+E(f405(x15673,x15674,x15671),f405(x15673,x15674,x15672))
% 184.05/183.92 [1568]~E(x15681,x15682)+E(f577(x15681,x15683,x15684,x15685,x15686,x15687),f577(x15682,x15683,x15684,x15685,x15686,x15687))
% 184.05/183.92 [1569]~E(x15691,x15692)+E(f577(x15693,x15691,x15694,x15695,x15696,x15697),f577(x15693,x15692,x15694,x15695,x15696,x15697))
% 184.05/183.92 [1570]~E(x15701,x15702)+E(f577(x15703,x15704,x15701,x15705,x15706,x15707),f577(x15703,x15704,x15702,x15705,x15706,x15707))
% 184.05/183.92 [1571]~E(x15711,x15712)+E(f577(x15713,x15714,x15715,x15711,x15716,x15717),f577(x15713,x15714,x15715,x15712,x15716,x15717))
% 184.05/183.92 [1572]~E(x15721,x15722)+E(f577(x15723,x15724,x15725,x15726,x15721,x15727),f577(x15723,x15724,x15725,x15726,x15722,x15727))
% 184.05/183.92 [1573]~E(x15731,x15732)+E(f577(x15733,x15734,x15735,x15736,x15737,x15731),f577(x15733,x15734,x15735,x15736,x15737,x15732))
% 184.05/183.92 [1574]~E(x15741,x15742)+E(f444(x15741,x15743),f444(x15742,x15743))
% 184.05/183.92 [1575]~E(x15751,x15752)+E(f444(x15753,x15751),f444(x15753,x15752))
% 184.05/183.92 [1576]~E(x15761,x15762)+E(f631(x15761,x15763,x15764,x15765),f631(x15762,x15763,x15764,x15765))
% 184.05/183.92 [1577]~E(x15771,x15772)+E(f631(x15773,x15771,x15774,x15775),f631(x15773,x15772,x15774,x15775))
% 184.05/183.92 [1578]~E(x15781,x15782)+E(f631(x15783,x15784,x15781,x15785),f631(x15783,x15784,x15782,x15785))
% 184.05/183.92 [1579]~E(x15791,x15792)+E(f631(x15793,x15794,x15795,x15791),f631(x15793,x15794,x15795,x15792))
% 184.05/183.92 [1580]~E(x15801,x15802)+E(f819(x15801,x15803,x15804,x15805,x15806,x15807),f819(x15802,x15803,x15804,x15805,x15806,x15807))
% 184.05/183.92 [1581]~E(x15811,x15812)+E(f819(x15813,x15811,x15814,x15815,x15816,x15817),f819(x15813,x15812,x15814,x15815,x15816,x15817))
% 184.05/183.92 [1582]~E(x15821,x15822)+E(f819(x15823,x15824,x15821,x15825,x15826,x15827),f819(x15823,x15824,x15822,x15825,x15826,x15827))
% 184.05/183.92 [1583]~E(x15831,x15832)+E(f819(x15833,x15834,x15835,x15831,x15836,x15837),f819(x15833,x15834,x15835,x15832,x15836,x15837))
% 184.05/183.92 [1584]~E(x15841,x15842)+E(f819(x15843,x15844,x15845,x15846,x15841,x15847),f819(x15843,x15844,x15845,x15846,x15842,x15847))
% 184.05/183.92 [1585]~E(x15851,x15852)+E(f819(x15853,x15854,x15855,x15856,x15857,x15851),f819(x15853,x15854,x15855,x15856,x15857,x15852))
% 184.05/183.92 [1586]~E(x15861,x15862)+E(f302(x15861,x15863),f302(x15862,x15863))
% 184.05/183.92 [1587]~E(x15871,x15872)+E(f302(x15873,x15871),f302(x15873,x15872))
% 184.05/183.92 [1588]~E(x15881,x15882)+E(f350(x15881,x15883,x15884,x15885),f350(x15882,x15883,x15884,x15885))
% 184.05/183.92 [1589]~E(x15891,x15892)+E(f350(x15893,x15891,x15894,x15895),f350(x15893,x15892,x15894,x15895))
% 184.05/183.92 [1590]~E(x15901,x15902)+E(f350(x15903,x15904,x15901,x15905),f350(x15903,x15904,x15902,x15905))
% 184.05/183.92 [1591]~E(x15911,x15912)+E(f350(x15913,x15914,x15915,x15911),f350(x15913,x15914,x15915,x15912))
% 184.05/183.92 [1592]~E(x15921,x15922)+E(f368(x15921,x15923),f368(x15922,x15923))
% 184.05/183.92 [1593]~E(x15931,x15932)+E(f368(x15933,x15931),f368(x15933,x15932))
% 184.05/183.92 [1594]~E(x15941,x15942)+E(f548(x15941,x15943,x15944,x15945),f548(x15942,x15943,x15944,x15945))
% 184.05/183.92 [1595]~E(x15951,x15952)+E(f548(x15953,x15951,x15954,x15955),f548(x15953,x15952,x15954,x15955))
% 184.05/183.92 [1596]~E(x15961,x15962)+E(f548(x15963,x15964,x15961,x15965),f548(x15963,x15964,x15962,x15965))
% 184.05/183.92 [1597]~E(x15971,x15972)+E(f548(x15973,x15974,x15975,x15971),f548(x15973,x15974,x15975,x15972))
% 184.05/183.92 [1598]~E(x15981,x15982)+E(f389(x15981,x15983,x15984,x15985),f389(x15982,x15983,x15984,x15985))
% 184.05/183.92 [1599]~E(x15991,x15992)+E(f389(x15993,x15991,x15994,x15995),f389(x15993,x15992,x15994,x15995))
% 184.05/183.92 [1600]~E(x16001,x16002)+E(f389(x16003,x16004,x16001,x16005),f389(x16003,x16004,x16002,x16005))
% 184.05/183.92 [1601]~E(x16011,x16012)+E(f389(x16013,x16014,x16015,x16011),f389(x16013,x16014,x16015,x16012))
% 184.05/183.92 [1602]~E(x16021,x16022)+E(f68(x16021,x16023),f68(x16022,x16023))
% 184.05/183.92 [1603]~E(x16031,x16032)+E(f68(x16033,x16031),f68(x16033,x16032))
% 184.05/183.92 [1604]~E(x16041,x16042)+E(f442(x16041,x16043,x16044,x16045,x16046,x16047,x16048,x16049),f442(x16042,x16043,x16044,x16045,x16046,x16047,x16048,x16049))
% 184.05/183.92 [1605]~E(x16051,x16052)+E(f442(x16053,x16051,x16054,x16055,x16056,x16057,x16058,x16059),f442(x16053,x16052,x16054,x16055,x16056,x16057,x16058,x16059))
% 184.05/183.92 [1606]~E(x16061,x16062)+E(f442(x16063,x16064,x16061,x16065,x16066,x16067,x16068,x16069),f442(x16063,x16064,x16062,x16065,x16066,x16067,x16068,x16069))
% 184.05/183.92 [1607]~E(x16071,x16072)+E(f442(x16073,x16074,x16075,x16071,x16076,x16077,x16078,x16079),f442(x16073,x16074,x16075,x16072,x16076,x16077,x16078,x16079))
% 184.05/183.92 [1608]~E(x16081,x16082)+E(f442(x16083,x16084,x16085,x16086,x16081,x16087,x16088,x16089),f442(x16083,x16084,x16085,x16086,x16082,x16087,x16088,x16089))
% 184.05/183.92 [1609]~E(x16091,x16092)+E(f442(x16093,x16094,x16095,x16096,x16097,x16091,x16098,x16099),f442(x16093,x16094,x16095,x16096,x16097,x16092,x16098,x16099))
% 184.05/183.92 [1610]~E(x16101,x16102)+E(f442(x16103,x16104,x16105,x16106,x16107,x16108,x16101,x16109),f442(x16103,x16104,x16105,x16106,x16107,x16108,x16102,x16109))
% 184.05/183.92 [1611]~E(x16111,x16112)+E(f442(x16113,x16114,x16115,x16116,x16117,x16118,x16119,x16111),f442(x16113,x16114,x16115,x16116,x16117,x16118,x16119,x16112))
% 184.05/183.92 [1612]~E(x16121,x16122)+E(f340(x16121,x16123,x16124),f340(x16122,x16123,x16124))
% 184.05/183.92 [1613]~E(x16131,x16132)+E(f340(x16133,x16131,x16134),f340(x16133,x16132,x16134))
% 184.05/183.92 [1614]~E(x16141,x16142)+E(f340(x16143,x16144,x16141),f340(x16143,x16144,x16142))
% 184.05/183.92 [1615]~E(x16151,x16152)+E(f688(x16151,x16153),f688(x16152,x16153))
% 184.05/183.92 [1616]~E(x16161,x16162)+E(f688(x16163,x16161),f688(x16163,x16162))
% 184.05/183.92 [1617]~E(x16171,x16172)+E(f873(x16171),f873(x16172))
% 184.05/183.92 [1618]~E(x16181,x16182)+E(f188(x16181,x16183,x16184,x16185),f188(x16182,x16183,x16184,x16185))
% 184.05/183.92 [1619]~E(x16191,x16192)+E(f188(x16193,x16191,x16194,x16195),f188(x16193,x16192,x16194,x16195))
% 184.05/183.92 [1620]~E(x16201,x16202)+E(f188(x16203,x16204,x16201,x16205),f188(x16203,x16204,x16202,x16205))
% 184.05/183.92 [1621]~E(x16211,x16212)+E(f188(x16213,x16214,x16215,x16211),f188(x16213,x16214,x16215,x16212))
% 184.05/183.92 [1622]~E(x16221,x16222)+E(f420(x16221,x16223,x16224),f420(x16222,x16223,x16224))
% 184.05/183.92 [1623]~E(x16231,x16232)+E(f420(x16233,x16231,x16234),f420(x16233,x16232,x16234))
% 184.05/183.92 [1624]~E(x16241,x16242)+E(f420(x16243,x16244,x16241),f420(x16243,x16244,x16242))
% 184.05/183.92 [1625]~E(x16251,x16252)+E(f409(x16251,x16253,x16254),f409(x16252,x16253,x16254))
% 184.05/183.92 [1626]~E(x16261,x16262)+E(f409(x16263,x16261,x16264),f409(x16263,x16262,x16264))
% 184.05/183.92 [1627]~E(x16271,x16272)+E(f409(x16273,x16274,x16271),f409(x16273,x16274,x16272))
% 184.05/183.92 [1628]~E(x16281,x16282)+E(f772(x16281,x16283,x16284,x16285,x16286,x16287,x16288),f772(x16282,x16283,x16284,x16285,x16286,x16287,x16288))
% 184.05/183.92 [1629]~E(x16291,x16292)+E(f772(x16293,x16291,x16294,x16295,x16296,x16297,x16298),f772(x16293,x16292,x16294,x16295,x16296,x16297,x16298))
% 184.05/183.92 [1630]~E(x16301,x16302)+E(f772(x16303,x16304,x16301,x16305,x16306,x16307,x16308),f772(x16303,x16304,x16302,x16305,x16306,x16307,x16308))
% 184.05/183.92 [1631]~E(x16311,x16312)+E(f772(x16313,x16314,x16315,x16311,x16316,x16317,x16318),f772(x16313,x16314,x16315,x16312,x16316,x16317,x16318))
% 184.05/183.92 [1632]~E(x16321,x16322)+E(f772(x16323,x16324,x16325,x16326,x16321,x16327,x16328),f772(x16323,x16324,x16325,x16326,x16322,x16327,x16328))
% 184.05/183.92 [1633]~E(x16331,x16332)+E(f772(x16333,x16334,x16335,x16336,x16337,x16331,x16338),f772(x16333,x16334,x16335,x16336,x16337,x16332,x16338))
% 184.05/183.92 [1634]~E(x16341,x16342)+E(f772(x16343,x16344,x16345,x16346,x16347,x16348,x16341),f772(x16343,x16344,x16345,x16346,x16347,x16348,x16342))
% 184.05/183.92 [1635]~E(x16351,x16352)+E(f456(x16351,x16353,x16354),f456(x16352,x16353,x16354))
% 184.05/183.92 [1636]~E(x16361,x16362)+E(f456(x16363,x16361,x16364),f456(x16363,x16362,x16364))
% 184.05/183.92 [1637]~E(x16371,x16372)+E(f456(x16373,x16374,x16371),f456(x16373,x16374,x16372))
% 184.05/183.92 [1638]~E(x16381,x16382)+E(f547(x16381,x16383,x16384),f547(x16382,x16383,x16384))
% 184.05/183.92 [1639]~E(x16391,x16392)+E(f547(x16393,x16391,x16394),f547(x16393,x16392,x16394))
% 184.05/183.92 [1640]~E(x16401,x16402)+E(f547(x16403,x16404,x16401),f547(x16403,x16404,x16402))
% 184.05/183.92 [1641]~E(x16411,x16412)+E(f788(x16411),f788(x16412))
% 184.05/183.92 [1642]~E(x16421,x16422)+E(f61(x16421,x16423,x16424),f61(x16422,x16423,x16424))
% 184.05/183.92 [1643]~E(x16431,x16432)+E(f61(x16433,x16431,x16434),f61(x16433,x16432,x16434))
% 184.05/183.92 [1644]~E(x16441,x16442)+E(f61(x16443,x16444,x16441),f61(x16443,x16444,x16442))
% 184.05/183.92 [1645]~E(x16451,x16452)+E(f630(x16451,x16453,x16454,x16455),f630(x16452,x16453,x16454,x16455))
% 184.05/183.92 [1646]~E(x16461,x16462)+E(f630(x16463,x16461,x16464,x16465),f630(x16463,x16462,x16464,x16465))
% 184.05/183.92 [1647]~E(x16471,x16472)+E(f630(x16473,x16474,x16471,x16475),f630(x16473,x16474,x16472,x16475))
% 184.05/183.92 [1648]~E(x16481,x16482)+E(f630(x16483,x16484,x16485,x16481),f630(x16483,x16484,x16485,x16482))
% 184.05/183.92 [1649]~E(x16491,x16492)+E(f519(x16491,x16493,x16494,x16495,x16496),f519(x16492,x16493,x16494,x16495,x16496))
% 184.05/183.92 [1650]~E(x16501,x16502)+E(f519(x16503,x16501,x16504,x16505,x16506),f519(x16503,x16502,x16504,x16505,x16506))
% 184.05/183.92 [1651]~E(x16511,x16512)+E(f519(x16513,x16514,x16511,x16515,x16516),f519(x16513,x16514,x16512,x16515,x16516))
% 184.05/183.92 [1652]~E(x16521,x16522)+E(f519(x16523,x16524,x16525,x16521,x16526),f519(x16523,x16524,x16525,x16522,x16526))
% 184.05/183.92 [1653]~E(x16531,x16532)+E(f519(x16533,x16534,x16535,x16536,x16531),f519(x16533,x16534,x16535,x16536,x16532))
% 184.05/183.92 [1654]~E(x16541,x16542)+E(f36(x16541),f36(x16542))
% 184.05/183.92 [1655]~E(x16551,x16552)+E(f668(x16551,x16553,x16554),f668(x16552,x16553,x16554))
% 184.05/183.92 [1656]~E(x16561,x16562)+E(f668(x16563,x16561,x16564),f668(x16563,x16562,x16564))
% 184.05/183.92 [1657]~E(x16571,x16572)+E(f668(x16573,x16574,x16571),f668(x16573,x16574,x16572))
% 184.05/183.92 [1658]~E(x16581,x16582)+E(f720(x16581,x16583,x16584),f720(x16582,x16583,x16584))
% 184.05/183.92 [1659]~E(x16591,x16592)+E(f720(x16593,x16591,x16594),f720(x16593,x16592,x16594))
% 184.05/183.92 [1660]~E(x16601,x16602)+E(f720(x16603,x16604,x16601),f720(x16603,x16604,x16602))
% 184.05/183.92 [1661]~E(x16611,x16612)+E(f643(x16611,x16613,x16614),f643(x16612,x16613,x16614))
% 184.05/183.92 [1662]~E(x16621,x16622)+E(f643(x16623,x16621,x16624),f643(x16623,x16622,x16624))
% 184.05/183.92 [1663]~E(x16631,x16632)+E(f643(x16633,x16634,x16631),f643(x16633,x16634,x16632))
% 184.05/183.92 [1664]~E(x16641,x16642)+E(f828(x16641,x16643,x16644,x16645,x16646,x16647),f828(x16642,x16643,x16644,x16645,x16646,x16647))
% 184.05/183.92 [1665]~E(x16651,x16652)+E(f828(x16653,x16651,x16654,x16655,x16656,x16657),f828(x16653,x16652,x16654,x16655,x16656,x16657))
% 184.05/183.92 [1666]~E(x16661,x16662)+E(f828(x16663,x16664,x16661,x16665,x16666,x16667),f828(x16663,x16664,x16662,x16665,x16666,x16667))
% 184.05/183.92 [1667]~E(x16671,x16672)+E(f828(x16673,x16674,x16675,x16671,x16676,x16677),f828(x16673,x16674,x16675,x16672,x16676,x16677))
% 184.05/183.92 [1668]~E(x16681,x16682)+E(f828(x16683,x16684,x16685,x16686,x16681,x16687),f828(x16683,x16684,x16685,x16686,x16682,x16687))
% 184.05/183.92 [1669]~E(x16691,x16692)+E(f828(x16693,x16694,x16695,x16696,x16697,x16691),f828(x16693,x16694,x16695,x16696,x16697,x16692))
% 184.05/183.92 [1670]~E(x16701,x16702)+E(f204(x16701,x16703),f204(x16702,x16703))
% 184.05/183.92 [1671]~E(x16711,x16712)+E(f204(x16713,x16711),f204(x16713,x16712))
% 184.05/183.92 [1672]~E(x16721,x16722)+E(f853(x16721,x16723,x16724,x16725),f853(x16722,x16723,x16724,x16725))
% 184.05/183.92 [1673]~E(x16731,x16732)+E(f853(x16733,x16731,x16734,x16735),f853(x16733,x16732,x16734,x16735))
% 184.05/183.92 [1674]~E(x16741,x16742)+E(f853(x16743,x16744,x16741,x16745),f853(x16743,x16744,x16742,x16745))
% 184.05/183.92 [1675]~E(x16751,x16752)+E(f853(x16753,x16754,x16755,x16751),f853(x16753,x16754,x16755,x16752))
% 184.05/183.92 [1676]~E(x16761,x16762)+E(f617(x16761,x16763,x16764,x16765,x16766),f617(x16762,x16763,x16764,x16765,x16766))
% 184.05/183.92 [1677]~E(x16771,x16772)+E(f617(x16773,x16771,x16774,x16775,x16776),f617(x16773,x16772,x16774,x16775,x16776))
% 184.05/183.92 [1678]~E(x16781,x16782)+E(f617(x16783,x16784,x16781,x16785,x16786),f617(x16783,x16784,x16782,x16785,x16786))
% 184.05/183.92 [1679]~E(x16791,x16792)+E(f617(x16793,x16794,x16795,x16791,x16796),f617(x16793,x16794,x16795,x16792,x16796))
% 184.05/183.92 [1680]~E(x16801,x16802)+E(f617(x16803,x16804,x16805,x16806,x16801),f617(x16803,x16804,x16805,x16806,x16802))
% 184.05/183.92 [1681]~E(x16811,x16812)+E(f364(x16811,x16813,x16814,x16815),f364(x16812,x16813,x16814,x16815))
% 184.05/183.92 [1682]~E(x16821,x16822)+E(f364(x16823,x16821,x16824,x16825),f364(x16823,x16822,x16824,x16825))
% 184.05/183.92 [1683]~E(x16831,x16832)+E(f364(x16833,x16834,x16831,x16835),f364(x16833,x16834,x16832,x16835))
% 184.05/183.92 [1684]~E(x16841,x16842)+E(f364(x16843,x16844,x16845,x16841),f364(x16843,x16844,x16845,x16842))
% 184.05/183.92 [1685]~E(x16851,x16852)+E(f589(x16851,x16853,x16854,x16855,x16856,x16857),f589(x16852,x16853,x16854,x16855,x16856,x16857))
% 184.05/183.92 [1686]~E(x16861,x16862)+E(f589(x16863,x16861,x16864,x16865,x16866,x16867),f589(x16863,x16862,x16864,x16865,x16866,x16867))
% 184.05/183.92 [1687]~E(x16871,x16872)+E(f589(x16873,x16874,x16871,x16875,x16876,x16877),f589(x16873,x16874,x16872,x16875,x16876,x16877))
% 184.05/183.92 [1688]~E(x16881,x16882)+E(f589(x16883,x16884,x16885,x16881,x16886,x16887),f589(x16883,x16884,x16885,x16882,x16886,x16887))
% 184.05/183.92 [1689]~E(x16891,x16892)+E(f589(x16893,x16894,x16895,x16896,x16891,x16897),f589(x16893,x16894,x16895,x16896,x16892,x16897))
% 184.05/183.92 [1690]~E(x16901,x16902)+E(f589(x16903,x16904,x16905,x16906,x16907,x16901),f589(x16903,x16904,x16905,x16906,x16907,x16902))
% 184.05/183.92 [1691]~E(x16911,x16912)+E(f333(x16911),f333(x16912))
% 184.05/183.92 [1692]~E(x16921,x16922)+E(f559(x16921,x16923,x16924),f559(x16922,x16923,x16924))
% 184.05/183.92 [1693]~E(x16931,x16932)+E(f559(x16933,x16931,x16934),f559(x16933,x16932,x16934))
% 184.05/183.92 [1694]~E(x16941,x16942)+E(f559(x16943,x16944,x16941),f559(x16943,x16944,x16942))
% 184.05/183.92 [1695]~E(x16951,x16952)+E(f136(x16951,x16953),f136(x16952,x16953))
% 184.05/183.92 [1696]~E(x16961,x16962)+E(f136(x16963,x16961),f136(x16963,x16962))
% 184.05/183.92 [1697]~E(x16971,x16972)+E(f672(x16971,x16973,x16974),f672(x16972,x16973,x16974))
% 184.05/183.92 [1698]~E(x16981,x16982)+E(f672(x16983,x16981,x16984),f672(x16983,x16982,x16984))
% 184.05/183.92 [1699]~E(x16991,x16992)+E(f672(x16993,x16994,x16991),f672(x16993,x16994,x16992))
% 184.05/183.92 [1700]~E(x17001,x17002)+E(f602(x17001,x17003,x17004),f602(x17002,x17003,x17004))
% 184.05/183.92 [1701]~E(x17011,x17012)+E(f602(x17013,x17011,x17014),f602(x17013,x17012,x17014))
% 184.05/183.92 [1702]~E(x17021,x17022)+E(f602(x17023,x17024,x17021),f602(x17023,x17024,x17022))
% 184.05/183.92 [1703]~E(x17031,x17032)+E(f502(x17031,x17033,x17034),f502(x17032,x17033,x17034))
% 184.05/183.92 [1704]~E(x17041,x17042)+E(f502(x17043,x17041,x17044),f502(x17043,x17042,x17044))
% 184.05/183.92 [1705]~E(x17051,x17052)+E(f502(x17053,x17054,x17051),f502(x17053,x17054,x17052))
% 184.05/183.92 [1706]~E(x17061,x17062)+E(f459(x17061,x17063,x17064),f459(x17062,x17063,x17064))
% 184.05/183.92 [1707]~E(x17071,x17072)+E(f459(x17073,x17071,x17074),f459(x17073,x17072,x17074))
% 184.05/183.92 [1708]~E(x17081,x17082)+E(f459(x17083,x17084,x17081),f459(x17083,x17084,x17082))
% 184.05/183.92 [1709]~E(x17091,x17092)+E(f847(x17091,x17093,x17094,x17095,x17096),f847(x17092,x17093,x17094,x17095,x17096))
% 184.05/183.92 [1710]~E(x17101,x17102)+E(f847(x17103,x17101,x17104,x17105,x17106),f847(x17103,x17102,x17104,x17105,x17106))
% 184.05/183.92 [1711]~E(x17111,x17112)+E(f847(x17113,x17114,x17111,x17115,x17116),f847(x17113,x17114,x17112,x17115,x17116))
% 184.05/183.92 [1712]~E(x17121,x17122)+E(f847(x17123,x17124,x17125,x17121,x17126),f847(x17123,x17124,x17125,x17122,x17126))
% 184.05/183.92 [1713]~E(x17131,x17132)+E(f847(x17133,x17134,x17135,x17136,x17131),f847(x17133,x17134,x17135,x17136,x17132))
% 184.05/183.92 [1714]~E(x17141,x17142)+E(f375(x17141,x17143),f375(x17142,x17143))
% 184.05/183.92 [1715]~E(x17151,x17152)+E(f375(x17153,x17151),f375(x17153,x17152))
% 184.05/183.92 [1716]~E(x17161,x17162)+E(f373(x17161,x17163,x17164,x17165),f373(x17162,x17163,x17164,x17165))
% 184.05/183.92 [1717]~E(x17171,x17172)+E(f373(x17173,x17171,x17174,x17175),f373(x17173,x17172,x17174,x17175))
% 184.05/183.92 [1718]~E(x17181,x17182)+E(f373(x17183,x17184,x17181,x17185),f373(x17183,x17184,x17182,x17185))
% 184.05/183.92 [1719]~E(x17191,x17192)+E(f373(x17193,x17194,x17195,x17191),f373(x17193,x17194,x17195,x17192))
% 184.05/183.92 [1720]~E(x17201,x17202)+E(f477(x17201,x17203,x17204,x17205,x17206),f477(x17202,x17203,x17204,x17205,x17206))
% 184.05/183.92 [1721]~E(x17211,x17212)+E(f477(x17213,x17211,x17214,x17215,x17216),f477(x17213,x17212,x17214,x17215,x17216))
% 184.05/183.92 [1722]~E(x17221,x17222)+E(f477(x17223,x17224,x17221,x17225,x17226),f477(x17223,x17224,x17222,x17225,x17226))
% 184.05/183.92 [1723]~E(x17231,x17232)+E(f477(x17233,x17234,x17235,x17231,x17236),f477(x17233,x17234,x17235,x17232,x17236))
% 184.05/183.92 [1724]~E(x17241,x17242)+E(f477(x17243,x17244,x17245,x17246,x17241),f477(x17243,x17244,x17245,x17246,x17242))
% 184.05/183.92 [1725]~E(x17251,x17252)+E(f390(x17251,x17253,x17254),f390(x17252,x17253,x17254))
% 184.05/183.92 [1726]~E(x17261,x17262)+E(f390(x17263,x17261,x17264),f390(x17263,x17262,x17264))
% 184.05/183.92 [1727]~E(x17271,x17272)+E(f390(x17273,x17274,x17271),f390(x17273,x17274,x17272))
% 184.05/183.92 [1728]~E(x17281,x17282)+E(f180(x17281,x17283,x17284,x17285),f180(x17282,x17283,x17284,x17285))
% 184.05/183.92 [1729]~E(x17291,x17292)+E(f180(x17293,x17291,x17294,x17295),f180(x17293,x17292,x17294,x17295))
% 184.05/183.92 [1730]~E(x17301,x17302)+E(f180(x17303,x17304,x17301,x17305),f180(x17303,x17304,x17302,x17305))
% 184.05/183.92 [1731]~E(x17311,x17312)+E(f180(x17313,x17314,x17315,x17311),f180(x17313,x17314,x17315,x17312))
% 184.05/183.92 [1732]~E(x17321,x17322)+E(f465(x17321,x17323,x17324,x17325),f465(x17322,x17323,x17324,x17325))
% 184.05/183.92 [1733]~E(x17331,x17332)+E(f465(x17333,x17331,x17334,x17335),f465(x17333,x17332,x17334,x17335))
% 184.05/183.92 [1734]~E(x17341,x17342)+E(f465(x17343,x17344,x17341,x17345),f465(x17343,x17344,x17342,x17345))
% 184.05/183.92 [1735]~E(x17351,x17352)+E(f465(x17353,x17354,x17355,x17351),f465(x17353,x17354,x17355,x17352))
% 184.05/183.92 [1736]~E(x17361,x17362)+E(f398(x17361,x17363,x17364),f398(x17362,x17363,x17364))
% 184.05/183.92 [1737]~E(x17371,x17372)+E(f398(x17373,x17371,x17374),f398(x17373,x17372,x17374))
% 184.05/183.92 [1738]~E(x17381,x17382)+E(f398(x17383,x17384,x17381),f398(x17383,x17384,x17382))
% 184.05/183.92 [1739]~E(x17391,x17392)+E(f825(x17391,x17393,x17394,x17395),f825(x17392,x17393,x17394,x17395))
% 184.05/183.92 [1740]~E(x17401,x17402)+E(f825(x17403,x17401,x17404,x17405),f825(x17403,x17402,x17404,x17405))
% 184.05/183.92 [1741]~E(x17411,x17412)+E(f825(x17413,x17414,x17411,x17415),f825(x17413,x17414,x17412,x17415))
% 184.05/183.92 [1742]~E(x17421,x17422)+E(f825(x17423,x17424,x17425,x17421),f825(x17423,x17424,x17425,x17422))
% 184.05/183.92 [1743]~E(x17431,x17432)+E(f411(x17431,x17433,x17434),f411(x17432,x17433,x17434))
% 184.05/183.92 [1744]~E(x17441,x17442)+E(f411(x17443,x17441,x17444),f411(x17443,x17442,x17444))
% 184.05/183.92 [1745]~E(x17451,x17452)+E(f411(x17453,x17454,x17451),f411(x17453,x17454,x17452))
% 184.05/183.92 [1746]~E(x17461,x17462)+E(f845(x17461,x17463,x17464),f845(x17462,x17463,x17464))
% 184.05/183.92 [1747]~E(x17471,x17472)+E(f845(x17473,x17471,x17474),f845(x17473,x17472,x17474))
% 184.05/183.92 [1748]~E(x17481,x17482)+E(f845(x17483,x17484,x17481),f845(x17483,x17484,x17482))
% 184.05/183.92 [1749]~E(x17491,x17492)+E(f501(x17491,x17493,x17494,x17495),f501(x17492,x17493,x17494,x17495))
% 184.05/183.92 [1750]~E(x17501,x17502)+E(f501(x17503,x17501,x17504,x17505),f501(x17503,x17502,x17504,x17505))
% 184.05/183.92 [1751]~E(x17511,x17512)+E(f501(x17513,x17514,x17511,x17515),f501(x17513,x17514,x17512,x17515))
% 184.05/183.92 [1752]~E(x17521,x17522)+E(f501(x17523,x17524,x17525,x17521),f501(x17523,x17524,x17525,x17522))
% 184.05/183.92 [1753]~E(x17531,x17532)+E(f680(x17531,x17533,x17534,x17535),f680(x17532,x17533,x17534,x17535))
% 184.05/183.92 [1754]~E(x17541,x17542)+E(f680(x17543,x17541,x17544,x17545),f680(x17543,x17542,x17544,x17545))
% 184.05/183.92 [1755]~E(x17551,x17552)+E(f680(x17553,x17554,x17551,x17555),f680(x17553,x17554,x17552,x17555))
% 184.05/183.92 [1756]~E(x17561,x17562)+E(f680(x17563,x17564,x17565,x17561),f680(x17563,x17564,x17565,x17562))
% 184.05/183.92 [1757]~E(x17571,x17572)+E(f509(x17571,x17573,x17574),f509(x17572,x17573,x17574))
% 184.05/183.92 [1758]~E(x17581,x17582)+E(f509(x17583,x17581,x17584),f509(x17583,x17582,x17584))
% 184.05/183.92 [1759]~E(x17591,x17592)+E(f509(x17593,x17594,x17591),f509(x17593,x17594,x17592))
% 184.05/183.92 [1760]~E(x17601,x17602)+E(f565(x17601,x17603),f565(x17602,x17603))
% 184.05/183.92 [1761]~E(x17611,x17612)+E(f565(x17613,x17611),f565(x17613,x17612))
% 184.05/183.92 [1762]~E(x17621,x17622)+E(f406(x17621,x17623,x17624),f406(x17622,x17623,x17624))
% 184.05/183.92 [1763]~E(x17631,x17632)+E(f406(x17633,x17631,x17634),f406(x17633,x17632,x17634))
% 184.05/183.92 [1764]~E(x17641,x17642)+E(f406(x17643,x17644,x17641),f406(x17643,x17644,x17642))
% 184.05/183.92 [1765]~E(x17651,x17652)+E(f578(x17651,x17653,x17654,x17655,x17656,x17657),f578(x17652,x17653,x17654,x17655,x17656,x17657))
% 184.05/183.92 [1766]~E(x17661,x17662)+E(f578(x17663,x17661,x17664,x17665,x17666,x17667),f578(x17663,x17662,x17664,x17665,x17666,x17667))
% 184.05/183.92 [1767]~E(x17671,x17672)+E(f578(x17673,x17674,x17671,x17675,x17676,x17677),f578(x17673,x17674,x17672,x17675,x17676,x17677))
% 184.05/183.92 [1768]~E(x17681,x17682)+E(f578(x17683,x17684,x17685,x17681,x17686,x17687),f578(x17683,x17684,x17685,x17682,x17686,x17687))
% 184.05/183.92 [1769]~E(x17691,x17692)+E(f578(x17693,x17694,x17695,x17696,x17691,x17697),f578(x17693,x17694,x17695,x17696,x17692,x17697))
% 184.05/183.92 [1770]~E(x17701,x17702)+E(f578(x17703,x17704,x17705,x17706,x17707,x17701),f578(x17703,x17704,x17705,x17706,x17707,x17702))
% 184.05/183.92 [1771]~E(x17711,x17712)+E(f374(x17711,x17713,x17714,x17715),f374(x17712,x17713,x17714,x17715))
% 184.05/183.92 [1772]~E(x17721,x17722)+E(f374(x17723,x17721,x17724,x17725),f374(x17723,x17722,x17724,x17725))
% 184.05/183.92 [1773]~E(x17731,x17732)+E(f374(x17733,x17734,x17731,x17735),f374(x17733,x17734,x17732,x17735))
% 184.05/183.92 [1774]~E(x17741,x17742)+E(f374(x17743,x17744,x17745,x17741),f374(x17743,x17744,x17745,x17742))
% 184.05/183.92 [1775]~E(x17751,x17752)+E(f569(x17751,x17753),f569(x17752,x17753))
% 184.05/183.92 [1776]~E(x17761,x17762)+E(f569(x17763,x17761),f569(x17763,x17762))
% 184.05/183.92 [1777]~E(x17771,x17772)+E(f575(x17771,x17773,x17774,x17775,x17776,x17777),f575(x17772,x17773,x17774,x17775,x17776,x17777))
% 184.05/183.92 [1778]~E(x17781,x17782)+E(f575(x17783,x17781,x17784,x17785,x17786,x17787),f575(x17783,x17782,x17784,x17785,x17786,x17787))
% 184.05/183.92 [1779]~E(x17791,x17792)+E(f575(x17793,x17794,x17791,x17795,x17796,x17797),f575(x17793,x17794,x17792,x17795,x17796,x17797))
% 184.05/183.92 [1780]~E(x17801,x17802)+E(f575(x17803,x17804,x17805,x17801,x17806,x17807),f575(x17803,x17804,x17805,x17802,x17806,x17807))
% 184.05/183.92 [1781]~E(x17811,x17812)+E(f575(x17813,x17814,x17815,x17816,x17811,x17817),f575(x17813,x17814,x17815,x17816,x17812,x17817))
% 184.05/183.92 [1782]~E(x17821,x17822)+E(f575(x17823,x17824,x17825,x17826,x17827,x17821),f575(x17823,x17824,x17825,x17826,x17827,x17822))
% 184.05/183.92 [1783]~E(x17831,x17832)+E(f517(x17831,x17833,x17834,x17835,x17836),f517(x17832,x17833,x17834,x17835,x17836))
% 184.05/183.92 [1784]~E(x17841,x17842)+E(f517(x17843,x17841,x17844,x17845,x17846),f517(x17843,x17842,x17844,x17845,x17846))
% 184.05/183.92 [1785]~E(x17851,x17852)+E(f517(x17853,x17854,x17851,x17855,x17856),f517(x17853,x17854,x17852,x17855,x17856))
% 184.05/183.92 [1786]~E(x17861,x17862)+E(f517(x17863,x17864,x17865,x17861,x17866),f517(x17863,x17864,x17865,x17862,x17866))
% 184.05/183.92 [1787]~E(x17871,x17872)+E(f517(x17873,x17874,x17875,x17876,x17871),f517(x17873,x17874,x17875,x17876,x17872))
% 184.05/183.92 [1788]~E(x17881,x17882)+E(f164(x17881,x17883,x17884),f164(x17882,x17883,x17884))
% 184.05/183.92 [1789]~E(x17891,x17892)+E(f164(x17893,x17891,x17894),f164(x17893,x17892,x17894))
% 184.05/183.92 [1790]~E(x17901,x17902)+E(f164(x17903,x17904,x17901),f164(x17903,x17904,x17902))
% 184.05/183.92 [1791]~E(x17911,x17912)+E(f625(x17911,x17913,x17914,x17915),f625(x17912,x17913,x17914,x17915))
% 184.05/183.92 [1792]~E(x17921,x17922)+E(f625(x17923,x17921,x17924,x17925),f625(x17923,x17922,x17924,x17925))
% 184.05/183.92 [1793]~E(x17931,x17932)+E(f625(x17933,x17934,x17931,x17935),f625(x17933,x17934,x17932,x17935))
% 184.05/183.92 [1794]~E(x17941,x17942)+E(f625(x17943,x17944,x17945,x17941),f625(x17943,x17944,x17945,x17942))
% 184.05/183.92 [1795]~E(x17951,x17952)+E(f810(x17951,x17953,x17954,x17955),f810(x17952,x17953,x17954,x17955))
% 184.05/183.92 [1796]~E(x17961,x17962)+E(f810(x17963,x17961,x17964,x17965),f810(x17963,x17962,x17964,x17965))
% 184.05/183.92 [1797]~E(x17971,x17972)+E(f810(x17973,x17974,x17971,x17975),f810(x17973,x17974,x17972,x17975))
% 184.05/183.92 [1798]~E(x17981,x17982)+E(f810(x17983,x17984,x17985,x17981),f810(x17983,x17984,x17985,x17982))
% 184.05/183.92 [1799]~E(x17991,x17992)+E(f735(x17991,x17993,x17994),f735(x17992,x17993,x17994))
% 184.05/183.92 [1800]~E(x18001,x18002)+E(f735(x18003,x18001,x18004),f735(x18003,x18002,x18004))
% 184.05/183.92 [1801]~E(x18011,x18012)+E(f735(x18013,x18014,x18011),f735(x18013,x18014,x18012))
% 184.05/183.92 [1802]~E(x18021,x18022)+E(f693(x18021,x18023,x18024),f693(x18022,x18023,x18024))
% 184.05/183.92 [1803]~E(x18031,x18032)+E(f693(x18033,x18031,x18034),f693(x18033,x18032,x18034))
% 184.05/183.92 [1804]~E(x18041,x18042)+E(f693(x18043,x18044,x18041),f693(x18043,x18044,x18042))
% 184.05/183.92 [1805]~E(x18051,x18052)+E(f746(x18051,x18053,x18054),f746(x18052,x18053,x18054))
% 184.05/183.92 [1806]~E(x18061,x18062)+E(f746(x18063,x18061,x18064),f746(x18063,x18062,x18064))
% 184.05/183.92 [1807]~E(x18071,x18072)+E(f746(x18073,x18074,x18071),f746(x18073,x18074,x18072))
% 184.05/183.92 [1808]~E(x18081,x18082)+E(f586(x18081,x18083),f586(x18082,x18083))
% 184.05/183.92 [1809]~E(x18091,x18092)+E(f586(x18093,x18091),f586(x18093,x18092))
% 184.05/183.92 [1810]~E(x18101,x18102)+E(f485(x18101,x18103,x18104,x18105,x18106),f485(x18102,x18103,x18104,x18105,x18106))
% 184.05/183.92 [1811]~E(x18111,x18112)+E(f485(x18113,x18111,x18114,x18115,x18116),f485(x18113,x18112,x18114,x18115,x18116))
% 184.05/183.92 [1812]~E(x18121,x18122)+E(f485(x18123,x18124,x18121,x18125,x18126),f485(x18123,x18124,x18122,x18125,x18126))
% 184.05/183.92 [1813]~E(x18131,x18132)+E(f485(x18133,x18134,x18135,x18131,x18136),f485(x18133,x18134,x18135,x18132,x18136))
% 184.05/183.92 [1814]~E(x18141,x18142)+E(f485(x18143,x18144,x18145,x18146,x18141),f485(x18143,x18144,x18145,x18146,x18142))
% 184.05/183.92 [1815]~E(x18151,x18152)+E(f520(x18151,x18153),f520(x18152,x18153))
% 184.05/183.92 [1816]~E(x18161,x18162)+E(f520(x18163,x18161),f520(x18163,x18162))
% 184.05/183.92 [1817]~E(x18171,x18172)+E(f785(x18171,x18173),f785(x18172,x18173))
% 184.05/183.92 [1818]~E(x18181,x18182)+E(f785(x18183,x18181),f785(x18183,x18182))
% 184.05/183.92 [1819]~E(x18191,x18192)+E(f550(x18191,x18193),f550(x18192,x18193))
% 184.05/183.92 [1820]~E(x18201,x18202)+E(f550(x18203,x18201),f550(x18203,x18202))
% 184.05/183.92 [1821]~E(x18211,x18212)+E(f441(x18211,x18213,x18214,x18215),f441(x18212,x18213,x18214,x18215))
% 184.05/183.92 [1822]~E(x18221,x18222)+E(f441(x18223,x18221,x18224,x18225),f441(x18223,x18222,x18224,x18225))
% 184.05/183.92 [1823]~E(x18231,x18232)+E(f441(x18233,x18234,x18231,x18235),f441(x18233,x18234,x18232,x18235))
% 184.05/183.92 [1824]~E(x18241,x18242)+E(f441(x18243,x18244,x18245,x18241),f441(x18243,x18244,x18245,x18242))
% 184.05/183.92 [1825]~E(x18251,x18252)+E(f761(x18251,x18253,x18254,x18255),f761(x18252,x18253,x18254,x18255))
% 184.05/183.92 [1826]~E(x18261,x18262)+E(f761(x18263,x18261,x18264,x18265),f761(x18263,x18262,x18264,x18265))
% 184.05/183.92 [1827]~E(x18271,x18272)+E(f761(x18273,x18274,x18271,x18275),f761(x18273,x18274,x18272,x18275))
% 184.05/183.92 [1828]~E(x18281,x18282)+E(f761(x18283,x18284,x18285,x18281),f761(x18283,x18284,x18285,x18282))
% 184.05/183.92 [1829]~E(x18291,x18292)+E(f808(x18291,x18293),f808(x18292,x18293))
% 184.05/183.92 [1830]~E(x18301,x18302)+E(f808(x18303,x18301),f808(x18303,x18302))
% 184.05/183.92 [1831]~E(x18311,x18312)+E(f758(x18311,x18313,x18314,x18315),f758(x18312,x18313,x18314,x18315))
% 184.05/183.92 [1832]~E(x18321,x18322)+E(f758(x18323,x18321,x18324,x18325),f758(x18323,x18322,x18324,x18325))
% 184.05/183.92 [1833]~E(x18331,x18332)+E(f758(x18333,x18334,x18331,x18335),f758(x18333,x18334,x18332,x18335))
% 184.05/183.92 [1834]~E(x18341,x18342)+E(f758(x18343,x18344,x18345,x18341),f758(x18343,x18344,x18345,x18342))
% 184.05/183.92 [1835]~E(x18351,x18352)+E(f654(x18351,x18353),f654(x18352,x18353))
% 184.05/183.92 [1836]~E(x18361,x18362)+E(f654(x18363,x18361),f654(x18363,x18362))
% 184.05/183.92 [1837]~E(x18371,x18372)+E(f107(x18371,x18373,x18374),f107(x18372,x18373,x18374))
% 184.05/183.92 [1838]~E(x18381,x18382)+E(f107(x18383,x18381,x18384),f107(x18383,x18382,x18384))
% 184.05/183.92 [1839]~E(x18391,x18392)+E(f107(x18393,x18394,x18391),f107(x18393,x18394,x18392))
% 184.05/183.92 [1840]~E(x18401,x18402)+E(f592(x18401,x18403,x18404,x18405,x18406),f592(x18402,x18403,x18404,x18405,x18406))
% 184.05/183.92 [1841]~E(x18411,x18412)+E(f592(x18413,x18411,x18414,x18415,x18416),f592(x18413,x18412,x18414,x18415,x18416))
% 184.05/183.92 [1842]~E(x18421,x18422)+E(f592(x18423,x18424,x18421,x18425,x18426),f592(x18423,x18424,x18422,x18425,x18426))
% 184.05/183.92 [1843]~E(x18431,x18432)+E(f592(x18433,x18434,x18435,x18431,x18436),f592(x18433,x18434,x18435,x18432,x18436))
% 184.05/183.92 [1844]~E(x18441,x18442)+E(f592(x18443,x18444,x18445,x18446,x18441),f592(x18443,x18444,x18445,x18446,x18442))
% 184.05/183.92 [1845]~E(x18451,x18452)+E(f235(x18451,x18453,x18454),f235(x18452,x18453,x18454))
% 184.05/183.92 [1846]~E(x18461,x18462)+E(f235(x18463,x18461,x18464),f235(x18463,x18462,x18464))
% 184.05/183.92 [1847]~E(x18471,x18472)+E(f235(x18473,x18474,x18471),f235(x18473,x18474,x18472))
% 184.05/183.92 [1848]~E(x18481,x18482)+E(f650(x18481,x18483,x18484,x18485),f650(x18482,x18483,x18484,x18485))
% 184.05/183.92 [1849]~E(x18491,x18492)+E(f650(x18493,x18491,x18494,x18495),f650(x18493,x18492,x18494,x18495))
% 184.05/183.92 [1850]~E(x18501,x18502)+E(f650(x18503,x18504,x18501,x18505),f650(x18503,x18504,x18502,x18505))
% 184.05/183.92 [1851]~E(x18511,x18512)+E(f650(x18513,x18514,x18515,x18511),f650(x18513,x18514,x18515,x18512))
% 184.05/183.92 [1852]~E(x18521,x18522)+E(f685(x18521,x18523,x18524),f685(x18522,x18523,x18524))
% 184.05/183.92 [1853]~E(x18531,x18532)+E(f685(x18533,x18531,x18534),f685(x18533,x18532,x18534))
% 184.05/183.92 [1854]~E(x18541,x18542)+E(f685(x18543,x18544,x18541),f685(x18543,x18544,x18542))
% 184.05/183.92 [1855]~E(x18551,x18552)+E(f478(x18551,x18553,x18554,x18555,x18556),f478(x18552,x18553,x18554,x18555,x18556))
% 184.05/183.92 [1856]~E(x18561,x18562)+E(f478(x18563,x18561,x18564,x18565,x18566),f478(x18563,x18562,x18564,x18565,x18566))
% 184.05/183.92 [1857]~E(x18571,x18572)+E(f478(x18573,x18574,x18571,x18575,x18576),f478(x18573,x18574,x18572,x18575,x18576))
% 184.05/183.92 [1858]~E(x18581,x18582)+E(f478(x18583,x18584,x18585,x18581,x18586),f478(x18583,x18584,x18585,x18582,x18586))
% 184.05/183.92 [1859]~E(x18591,x18592)+E(f478(x18593,x18594,x18595,x18596,x18591),f478(x18593,x18594,x18595,x18596,x18592))
% 184.05/183.92 [1860]~E(x18601,x18602)+E(f734(x18601,x18603,x18604),f734(x18602,x18603,x18604))
% 184.05/183.92 [1861]~E(x18611,x18612)+E(f734(x18613,x18611,x18614),f734(x18613,x18612,x18614))
% 184.05/183.92 [1862]~E(x18621,x18622)+E(f734(x18623,x18624,x18621),f734(x18623,x18624,x18622))
% 184.05/183.92 [1863]~E(x18631,x18632)+E(f522(x18631,x18633,x18634,x18635),f522(x18632,x18633,x18634,x18635))
% 184.05/183.92 [1864]~E(x18641,x18642)+E(f522(x18643,x18641,x18644,x18645),f522(x18643,x18642,x18644,x18645))
% 184.05/183.92 [1865]~E(x18651,x18652)+E(f522(x18653,x18654,x18651,x18655),f522(x18653,x18654,x18652,x18655))
% 184.05/183.92 [1866]~E(x18661,x18662)+E(f522(x18663,x18664,x18665,x18661),f522(x18663,x18664,x18665,x18662))
% 184.05/183.92 [1867]~E(x18671,x18672)+E(f870(x18671,x18673,x18674),f870(x18672,x18673,x18674))
% 184.05/183.92 [1868]~E(x18681,x18682)+E(f870(x18683,x18681,x18684),f870(x18683,x18682,x18684))
% 184.05/183.92 [1869]~E(x18691,x18692)+E(f870(x18693,x18694,x18691),f870(x18693,x18694,x18692))
% 184.05/183.92 [1870]~E(x18701,x18702)+E(f530(x18701,x18703,x18704,x18705),f530(x18702,x18703,x18704,x18705))
% 184.05/183.92 [1871]~E(x18711,x18712)+E(f530(x18713,x18711,x18714,x18715),f530(x18713,x18712,x18714,x18715))
% 184.05/183.92 [1872]~E(x18721,x18722)+E(f530(x18723,x18724,x18721,x18725),f530(x18723,x18724,x18722,x18725))
% 184.05/183.92 [1873]~E(x18731,x18732)+E(f530(x18733,x18734,x18735,x18731),f530(x18733,x18734,x18735,x18732))
% 184.05/183.92 [1874]~E(x18741,x18742)+E(f392(x18741,x18743),f392(x18742,x18743))
% 184.05/183.92 [1875]~E(x18751,x18752)+E(f392(x18753,x18751),f392(x18753,x18752))
% 184.05/183.92 [1876]~E(x18761,x18762)+E(f598(x18761,x18763),f598(x18762,x18763))
% 184.05/183.92 [1877]~E(x18771,x18772)+E(f598(x18773,x18771),f598(x18773,x18772))
% 184.05/183.92 [1878]~E(x18781,x18782)+E(f756(x18781,x18783,x18784,x18785),f756(x18782,x18783,x18784,x18785))
% 184.05/183.92 [1879]~E(x18791,x18792)+E(f756(x18793,x18791,x18794,x18795),f756(x18793,x18792,x18794,x18795))
% 184.05/183.92 [1880]~E(x18801,x18802)+E(f756(x18803,x18804,x18801,x18805),f756(x18803,x18804,x18802,x18805))
% 184.05/183.92 [1881]~E(x18811,x18812)+E(f756(x18813,x18814,x18815,x18811),f756(x18813,x18814,x18815,x18812))
% 184.05/183.92 [1882]~E(x18821,x18822)+E(f644(x18821,x18823,x18824),f644(x18822,x18823,x18824))
% 184.05/183.92 [1883]~E(x18831,x18832)+E(f644(x18833,x18831,x18834),f644(x18833,x18832,x18834))
% 184.05/183.92 [1884]~E(x18841,x18842)+E(f644(x18843,x18844,x18841),f644(x18843,x18844,x18842))
% 184.05/183.92 [1885]~E(x18851,x18852)+E(f564(x18851),f564(x18852))
% 184.05/183.92 [1886]~E(x18861,x18862)+E(f817(x18861,x18863,x18864),f817(x18862,x18863,x18864))
% 184.05/183.92 [1887]~E(x18871,x18872)+E(f817(x18873,x18871,x18874),f817(x18873,x18872,x18874))
% 184.05/183.92 [1888]~E(x18881,x18882)+E(f817(x18883,x18884,x18881),f817(x18883,x18884,x18882))
% 184.05/183.92 [1889]~E(x18891,x18892)+E(f805(x18891,x18893,x18894),f805(x18892,x18893,x18894))
% 184.05/183.92 [1890]~E(x18901,x18902)+E(f805(x18903,x18901,x18904),f805(x18903,x18902,x18904))
% 184.05/183.92 [1891]~E(x18911,x18912)+E(f805(x18913,x18914,x18911),f805(x18913,x18914,x18912))
% 184.05/183.92 [1892]~E(x18921,x18922)+E(f891(x18921,x18923,x18924),f891(x18922,x18923,x18924))
% 184.05/183.92 [1893]~E(x18931,x18932)+E(f891(x18933,x18931,x18934),f891(x18933,x18932,x18934))
% 184.05/183.92 [1894]~E(x18941,x18942)+E(f891(x18943,x18944,x18941),f891(x18943,x18944,x18942))
% 184.05/183.92 [1895]~E(x18951,x18952)+E(f545(x18951,x18953),f545(x18952,x18953))
% 184.05/183.92 [1896]~E(x18961,x18962)+E(f545(x18963,x18961),f545(x18963,x18962))
% 184.05/183.92 [1897]~E(x18971,x18972)+E(f635(x18971,x18973,x18974,x18975,x18976),f635(x18972,x18973,x18974,x18975,x18976))
% 184.05/183.92 [1898]~E(x18981,x18982)+E(f635(x18983,x18981,x18984,x18985,x18986),f635(x18983,x18982,x18984,x18985,x18986))
% 184.05/183.92 [1899]~E(x18991,x18992)+E(f635(x18993,x18994,x18991,x18995,x18996),f635(x18993,x18994,x18992,x18995,x18996))
% 184.05/183.92 [1900]~E(x19001,x19002)+E(f635(x19003,x19004,x19005,x19001,x19006),f635(x19003,x19004,x19005,x19002,x19006))
% 184.05/183.92 [1901]~E(x19011,x19012)+E(f635(x19013,x19014,x19015,x19016,x19011),f635(x19013,x19014,x19015,x19016,x19012))
% 184.05/183.92 [1902]~E(x19021,x19022)+E(f191(x19021),f191(x19022))
% 184.05/183.92 [1903]~E(x19031,x19032)+E(f222(x19031,x19033),f222(x19032,x19033))
% 184.05/183.92 [1904]~E(x19041,x19042)+E(f222(x19043,x19041),f222(x19043,x19042))
% 184.05/183.92 [1905]~E(x19051,x19052)+E(f628(x19051,x19053,x19054,x19055,x19056,x19057),f628(x19052,x19053,x19054,x19055,x19056,x19057))
% 184.05/183.92 [1906]~E(x19061,x19062)+E(f628(x19063,x19061,x19064,x19065,x19066,x19067),f628(x19063,x19062,x19064,x19065,x19066,x19067))
% 184.05/183.92 [1907]~E(x19071,x19072)+E(f628(x19073,x19074,x19071,x19075,x19076,x19077),f628(x19073,x19074,x19072,x19075,x19076,x19077))
% 184.05/183.92 [1908]~E(x19081,x19082)+E(f628(x19083,x19084,x19085,x19081,x19086,x19087),f628(x19083,x19084,x19085,x19082,x19086,x19087))
% 184.05/183.92 [1909]~E(x19091,x19092)+E(f628(x19093,x19094,x19095,x19096,x19091,x19097),f628(x19093,x19094,x19095,x19096,x19092,x19097))
% 184.05/183.92 [1910]~E(x19101,x19102)+E(f628(x19103,x19104,x19105,x19106,x19107,x19101),f628(x19103,x19104,x19105,x19106,x19107,x19102))
% 184.05/183.92 [1911]~E(x19111,x19112)+E(f645(x19111,x19113,x19114),f645(x19112,x19113,x19114))
% 184.05/183.92 [1912]~E(x19121,x19122)+E(f645(x19123,x19121,x19124),f645(x19123,x19122,x19124))
% 184.05/183.92 [1913]~E(x19131,x19132)+E(f645(x19133,x19134,x19131),f645(x19133,x19134,x19132))
% 184.05/183.92 [1914]~E(x19141,x19142)+E(f655(x19141,x19143,x19144),f655(x19142,x19143,x19144))
% 184.05/183.92 [1915]~E(x19151,x19152)+E(f655(x19153,x19151,x19154),f655(x19153,x19152,x19154))
% 184.05/183.92 [1916]~E(x19161,x19162)+E(f655(x19163,x19164,x19161),f655(x19163,x19164,x19162))
% 184.05/183.92 [1917]~E(x19171,x19172)+E(f743(x19171,x19173,x19174),f743(x19172,x19173,x19174))
% 184.05/183.92 [1918]~E(x19181,x19182)+E(f743(x19183,x19181,x19184),f743(x19183,x19182,x19184))
% 184.05/183.92 [1919]~E(x19191,x19192)+E(f743(x19193,x19194,x19191),f743(x19193,x19194,x19192))
% 184.05/183.92 [1920]~E(x19201,x19202)+E(f513(x19201),f513(x19202))
% 184.05/183.92 [1921]~E(x19211,x19212)+E(f196(x19211,x19213,x19214,x19215),f196(x19212,x19213,x19214,x19215))
% 184.05/183.92 [1922]~E(x19221,x19222)+E(f196(x19223,x19221,x19224,x19225),f196(x19223,x19222,x19224,x19225))
% 184.05/183.92 [1923]~E(x19231,x19232)+E(f196(x19233,x19234,x19231,x19235),f196(x19233,x19234,x19232,x19235))
% 184.05/183.92 [1924]~E(x19241,x19242)+E(f196(x19243,x19244,x19245,x19241),f196(x19243,x19244,x19245,x19242))
% 184.05/183.92 [1925]~E(x19251,x19252)+E(f445(x19251,x19253,x19254),f445(x19252,x19253,x19254))
% 184.05/183.92 [1926]~E(x19261,x19262)+E(f445(x19263,x19261,x19264),f445(x19263,x19262,x19264))
% 184.05/183.92 [1927]~E(x19271,x19272)+E(f445(x19273,x19274,x19271),f445(x19273,x19274,x19272))
% 184.05/183.92 [1928]~E(x19281,x19282)+E(f336(x19281,x19283,x19284),f336(x19282,x19283,x19284))
% 184.05/183.92 [1929]~E(x19291,x19292)+E(f336(x19293,x19291,x19294),f336(x19293,x19292,x19294))
% 184.05/183.92 [1930]~E(x19301,x19302)+E(f336(x19303,x19304,x19301),f336(x19303,x19304,x19302))
% 184.05/183.92 [1931]~E(x19311,x19312)+E(f399(x19311,x19313),f399(x19312,x19313))
% 184.05/183.92 [1932]~E(x19321,x19322)+E(f399(x19323,x19321),f399(x19323,x19322))
% 184.05/183.92 [1933]~E(x19331,x19332)+E(f450(x19331,x19333,x19334,x19335),f450(x19332,x19333,x19334,x19335))
% 184.05/183.92 [1934]~E(x19341,x19342)+E(f450(x19343,x19341,x19344,x19345),f450(x19343,x19342,x19344,x19345))
% 184.05/183.92 [1935]~E(x19351,x19352)+E(f450(x19353,x19354,x19351,x19355),f450(x19353,x19354,x19352,x19355))
% 184.05/183.92 [1936]~E(x19361,x19362)+E(f450(x19363,x19364,x19365,x19361),f450(x19363,x19364,x19365,x19362))
% 184.05/183.92 [1937]~E(x19371,x19372)+E(f192(x19371,x19373),f192(x19372,x19373))
% 184.05/183.92 [1938]~E(x19381,x19382)+E(f192(x19383,x19381),f192(x19383,x19382))
% 184.05/183.92 [1939]~E(x19391,x19392)+E(f379(x19391,x19393),f379(x19392,x19393))
% 184.05/183.92 [1940]~E(x19401,x19402)+E(f379(x19403,x19401),f379(x19403,x19402))
% 184.05/183.92 [1941]~E(x19411,x19412)+E(f722(x19411,x19413,x19414),f722(x19412,x19413,x19414))
% 184.05/183.92 [1942]~E(x19421,x19422)+E(f722(x19423,x19421,x19424),f722(x19423,x19422,x19424))
% 184.05/183.92 [1943]~E(x19431,x19432)+E(f722(x19433,x19434,x19431),f722(x19433,x19434,x19432))
% 184.05/183.92 [1944]~E(x19441,x19442)+E(f195(x19441,x19443,x19444,x19445),f195(x19442,x19443,x19444,x19445))
% 184.05/183.92 [1945]~E(x19451,x19452)+E(f195(x19453,x19451,x19454,x19455),f195(x19453,x19452,x19454,x19455))
% 184.05/183.92 [1946]~E(x19461,x19462)+E(f195(x19463,x19464,x19461,x19465),f195(x19463,x19464,x19462,x19465))
% 184.05/183.92 [1947]~E(x19471,x19472)+E(f195(x19473,x19474,x19475,x19471),f195(x19473,x19474,x19475,x19472))
% 184.05/183.92 [1948]~E(x19481,x19482)+E(f733(x19481,x19483,x19484),f733(x19482,x19483,x19484))
% 184.05/183.92 [1949]~E(x19491,x19492)+E(f733(x19493,x19491,x19494),f733(x19493,x19492,x19494))
% 184.05/183.92 [1950]~E(x19501,x19502)+E(f733(x19503,x19504,x19501),f733(x19503,x19504,x19502))
% 184.05/183.92 [1951]~E(x19511,x19512)+E(f219(x19511,x19513,x19514,x19515),f219(x19512,x19513,x19514,x19515))
% 184.05/183.92 [1952]~E(x19521,x19522)+E(f219(x19523,x19521,x19524,x19525),f219(x19523,x19522,x19524,x19525))
% 184.05/183.92 [1953]~E(x19531,x19532)+E(f219(x19533,x19534,x19531,x19535),f219(x19533,x19534,x19532,x19535))
% 184.05/183.92 [1954]~E(x19541,x19542)+E(f219(x19543,x19544,x19545,x19541),f219(x19543,x19544,x19545,x19542))
% 184.05/183.92 [1955]~E(x19551,x19552)+E(f437(x19551,x19553,x19554),f437(x19552,x19553,x19554))
% 184.05/183.92 [1956]~E(x19561,x19562)+E(f437(x19563,x19561,x19564),f437(x19563,x19562,x19564))
% 184.05/183.92 [1957]~E(x19571,x19572)+E(f437(x19573,x19574,x19571),f437(x19573,x19574,x19572))
% 184.05/183.92 [1958]~E(x19581,x19582)+E(f346(x19581,x19583,x19584),f346(x19582,x19583,x19584))
% 184.05/183.92 [1959]~E(x19591,x19592)+E(f346(x19593,x19591,x19594),f346(x19593,x19592,x19594))
% 184.05/183.92 [1960]~E(x19601,x19602)+E(f346(x19603,x19604,x19601),f346(x19603,x19604,x19602))
% 184.05/183.92 [1961]~E(x19611,x19612)+E(f771(x19611,x19613,x19614,x19615,x19616,x19617,x19618),f771(x19612,x19613,x19614,x19615,x19616,x19617,x19618))
% 184.05/183.92 [1962]~E(x19621,x19622)+E(f771(x19623,x19621,x19624,x19625,x19626,x19627,x19628),f771(x19623,x19622,x19624,x19625,x19626,x19627,x19628))
% 184.05/183.92 [1963]~E(x19631,x19632)+E(f771(x19633,x19634,x19631,x19635,x19636,x19637,x19638),f771(x19633,x19634,x19632,x19635,x19636,x19637,x19638))
% 184.05/183.92 [1964]~E(x19641,x19642)+E(f771(x19643,x19644,x19645,x19641,x19646,x19647,x19648),f771(x19643,x19644,x19645,x19642,x19646,x19647,x19648))
% 184.05/183.92 [1965]~E(x19651,x19652)+E(f771(x19653,x19654,x19655,x19656,x19651,x19657,x19658),f771(x19653,x19654,x19655,x19656,x19652,x19657,x19658))
% 184.05/183.92 [1966]~E(x19661,x19662)+E(f771(x19663,x19664,x19665,x19666,x19667,x19661,x19668),f771(x19663,x19664,x19665,x19666,x19667,x19662,x19668))
% 184.05/183.92 [1967]~E(x19671,x19672)+E(f771(x19673,x19674,x19675,x19676,x19677,x19678,x19671),f771(x19673,x19674,x19675,x19676,x19677,x19678,x19672))
% 184.05/183.92 [1968]~E(x19681,x19682)+E(f623(x19681,x19683,x19684,x19685),f623(x19682,x19683,x19684,x19685))
% 184.05/183.92 [1969]~E(x19691,x19692)+E(f623(x19693,x19691,x19694,x19695),f623(x19693,x19692,x19694,x19695))
% 184.05/183.92 [1970]~E(x19701,x19702)+E(f623(x19703,x19704,x19701,x19705),f623(x19703,x19704,x19702,x19705))
% 184.05/183.92 [1971]~E(x19711,x19712)+E(f623(x19713,x19714,x19715,x19711),f623(x19713,x19714,x19715,x19712))
% 184.05/183.92 [1972]~E(x19721,x19722)+E(f365(x19721,x19723,x19724,x19725),f365(x19722,x19723,x19724,x19725))
% 184.05/183.92 [1973]~E(x19731,x19732)+E(f365(x19733,x19731,x19734,x19735),f365(x19733,x19732,x19734,x19735))
% 184.05/183.92 [1974]~E(x19741,x19742)+E(f365(x19743,x19744,x19741,x19745),f365(x19743,x19744,x19742,x19745))
% 184.05/183.92 [1975]~E(x19751,x19752)+E(f365(x19753,x19754,x19755,x19751),f365(x19753,x19754,x19755,x19752))
% 184.05/183.92 [1976]~E(x19761,x19762)+E(f347(x19761,x19763,x19764),f347(x19762,x19763,x19764))
% 184.05/183.92 [1977]~E(x19771,x19772)+E(f347(x19773,x19771,x19774),f347(x19773,x19772,x19774))
% 184.05/183.92 [1978]~E(x19781,x19782)+E(f347(x19783,x19784,x19781),f347(x19783,x19784,x19782))
% 184.05/183.92 [1979]~E(x19791,x19792)+E(f732(x19791,x19793,x19794),f732(x19792,x19793,x19794))
% 184.05/183.92 [1980]~E(x19801,x19802)+E(f732(x19803,x19801,x19804),f732(x19803,x19802,x19804))
% 184.05/183.92 [1981]~E(x19811,x19812)+E(f732(x19813,x19814,x19811),f732(x19813,x19814,x19812))
% 184.05/183.92 [1982]~E(x19821,x19822)+E(f694(x19821,x19823,x19824),f694(x19822,x19823,x19824))
% 184.05/183.92 [1983]~E(x19831,x19832)+E(f694(x19833,x19831,x19834),f694(x19833,x19832,x19834))
% 184.05/183.92 [1984]~E(x19841,x19842)+E(f694(x19843,x19844,x19841),f694(x19843,x19844,x19842))
% 184.05/183.92 [1985]~E(x19851,x19852)+E(f716(x19851,x19853),f716(x19852,x19853))
% 184.05/183.92 [1986]~E(x19861,x19862)+E(f716(x19863,x19861),f716(x19863,x19862))
% 184.05/183.92 [1987]~E(x19871,x19872)+E(f377(x19871,x19873),f377(x19872,x19873))
% 184.05/183.92 [1988]~E(x19881,x19882)+E(f377(x19883,x19881),f377(x19883,x19882))
% 184.05/183.92 [1989]~E(x19891,x19892)+E(f524(x19891,x19893,x19894,x19895,x19896,x19897),f524(x19892,x19893,x19894,x19895,x19896,x19897))
% 184.05/183.92 [1990]~E(x19901,x19902)+E(f524(x19903,x19901,x19904,x19905,x19906,x19907),f524(x19903,x19902,x19904,x19905,x19906,x19907))
% 184.05/183.92 [1991]~E(x19911,x19912)+E(f524(x19913,x19914,x19911,x19915,x19916,x19917),f524(x19913,x19914,x19912,x19915,x19916,x19917))
% 184.05/183.92 [1992]~E(x19921,x19922)+E(f524(x19923,x19924,x19925,x19921,x19926,x19927),f524(x19923,x19924,x19925,x19922,x19926,x19927))
% 184.05/183.92 [1993]~E(x19931,x19932)+E(f524(x19933,x19934,x19935,x19936,x19931,x19937),f524(x19933,x19934,x19935,x19936,x19932,x19937))
% 184.05/183.92 [1994]~E(x19941,x19942)+E(f524(x19943,x19944,x19945,x19946,x19947,x19941),f524(x19943,x19944,x19945,x19946,x19947,x19942))
% 184.05/183.92 [1995]~E(x19951,x19952)+E(f285(x19951,x19953,x19954),f285(x19952,x19953,x19954))
% 184.05/183.92 [1996]~E(x19961,x19962)+E(f285(x19963,x19961,x19964),f285(x19963,x19962,x19964))
% 184.05/183.92 [1997]~E(x19971,x19972)+E(f285(x19973,x19974,x19971),f285(x19973,x19974,x19972))
% 184.05/183.92 [1998]~E(x19981,x19982)+E(f370(x19981,x19983),f370(x19982,x19983))
% 184.05/183.92 [1999]~E(x19991,x19992)+E(f370(x19993,x19991),f370(x19993,x19992))
% 184.05/183.92 [2000]~E(x20001,x20002)+E(f255(x20001,x20003,x20004),f255(x20002,x20003,x20004))
% 184.05/183.92 [2001]~E(x20011,x20012)+E(f255(x20013,x20011,x20014),f255(x20013,x20012,x20014))
% 184.05/183.92 [2002]~E(x20021,x20022)+E(f255(x20023,x20024,x20021),f255(x20023,x20024,x20022))
% 184.05/183.92 [2003]~E(x20031,x20032)+E(f622(x20031,x20033,x20034,x20035,x20036),f622(x20032,x20033,x20034,x20035,x20036))
% 184.05/183.92 [2004]~E(x20041,x20042)+E(f622(x20043,x20041,x20044,x20045,x20046),f622(x20043,x20042,x20044,x20045,x20046))
% 184.05/183.92 [2005]~E(x20051,x20052)+E(f622(x20053,x20054,x20051,x20055,x20056),f622(x20053,x20054,x20052,x20055,x20056))
% 184.05/183.92 [2006]~E(x20061,x20062)+E(f622(x20063,x20064,x20065,x20061,x20066),f622(x20063,x20064,x20065,x20062,x20066))
% 184.05/183.92 [2007]~E(x20071,x20072)+E(f622(x20073,x20074,x20075,x20076,x20071),f622(x20073,x20074,x20075,x20076,x20072))
% 184.05/183.92 [2008]~E(x20081,x20082)+E(f269(x20081,x20083,x20084,x20085),f269(x20082,x20083,x20084,x20085))
% 184.05/183.92 [2009]~E(x20091,x20092)+E(f269(x20093,x20091,x20094,x20095),f269(x20093,x20092,x20094,x20095))
% 184.05/183.92 [2010]~E(x20101,x20102)+E(f269(x20103,x20104,x20101,x20105),f269(x20103,x20104,x20102,x20105))
% 184.05/183.92 [2011]~E(x20111,x20112)+E(f269(x20113,x20114,x20115,x20111),f269(x20113,x20114,x20115,x20112))
% 184.05/183.92 [2012]~E(x20121,x20122)+E(f194(x20121),f194(x20122))
% 184.05/183.92 [2013]~E(x20131,x20132)+E(f888(x20131,x20133),f888(x20132,x20133))
% 184.05/183.92 [2014]~E(x20141,x20142)+E(f888(x20143,x20141),f888(x20143,x20142))
% 184.05/183.92 [2015]~E(x20151,x20152)+E(f616(x20151,x20153,x20154,x20155,x20156),f616(x20152,x20153,x20154,x20155,x20156))
% 184.05/183.92 [2016]~E(x20161,x20162)+E(f616(x20163,x20161,x20164,x20165,x20166),f616(x20163,x20162,x20164,x20165,x20166))
% 184.05/183.92 [2017]~E(x20171,x20172)+E(f616(x20173,x20174,x20171,x20175,x20176),f616(x20173,x20174,x20172,x20175,x20176))
% 184.05/183.92 [2018]~E(x20181,x20182)+E(f616(x20183,x20184,x20185,x20181,x20186),f616(x20183,x20184,x20185,x20182,x20186))
% 184.05/183.92 [2019]~E(x20191,x20192)+E(f616(x20193,x20194,x20195,x20196,x20191),f616(x20193,x20194,x20195,x20196,x20192))
% 184.05/183.92 [2020]~E(x20201,x20202)+E(f372(x20201,x20203,x20204,x20205),f372(x20202,x20203,x20204,x20205))
% 184.05/183.92 [2021]~E(x20211,x20212)+E(f372(x20213,x20211,x20214,x20215),f372(x20213,x20212,x20214,x20215))
% 184.05/183.92 [2022]~E(x20221,x20222)+E(f372(x20223,x20224,x20221,x20225),f372(x20223,x20224,x20222,x20225))
% 184.05/183.92 [2023]~E(x20231,x20232)+E(f372(x20233,x20234,x20235,x20231),f372(x20233,x20234,x20235,x20232))
% 184.05/183.92 [2024]~E(x20241,x20242)+E(f560(x20241,x20243,x20244),f560(x20242,x20243,x20244))
% 184.05/183.92 [2025]~E(x20251,x20252)+E(f560(x20253,x20251,x20254),f560(x20253,x20252,x20254))
% 184.05/183.92 [2026]~E(x20261,x20262)+E(f560(x20263,x20264,x20261),f560(x20263,x20264,x20262))
% 184.05/183.92 [2027]~E(x20271,x20272)+E(f467(x20271,x20273,x20274,x20275,x20276),f467(x20272,x20273,x20274,x20275,x20276))
% 184.05/183.92 [2028]~E(x20281,x20282)+E(f467(x20283,x20281,x20284,x20285,x20286),f467(x20283,x20282,x20284,x20285,x20286))
% 184.05/183.92 [2029]~E(x20291,x20292)+E(f467(x20293,x20294,x20291,x20295,x20296),f467(x20293,x20294,x20292,x20295,x20296))
% 184.05/183.92 [2030]~E(x20301,x20302)+E(f467(x20303,x20304,x20305,x20301,x20306),f467(x20303,x20304,x20305,x20302,x20306))
% 184.05/183.92 [2031]~E(x20311,x20312)+E(f467(x20313,x20314,x20315,x20316,x20311),f467(x20313,x20314,x20315,x20316,x20312))
% 184.05/183.92 [2032]~E(x20321,x20322)+E(f448(x20321,x20323,x20324),f448(x20322,x20323,x20324))
% 184.05/183.92 [2033]~E(x20331,x20332)+E(f448(x20333,x20331,x20334),f448(x20333,x20332,x20334))
% 184.05/183.92 [2034]~E(x20341,x20342)+E(f448(x20343,x20344,x20341),f448(x20343,x20344,x20342))
% 184.05/183.92 [2035]~E(x20351,x20352)+E(f404(x20351,x20353,x20354),f404(x20352,x20353,x20354))
% 184.05/183.92 [2036]~E(x20361,x20362)+E(f404(x20363,x20361,x20364),f404(x20363,x20362,x20364))
% 184.05/183.92 [2037]~E(x20371,x20372)+E(f404(x20373,x20374,x20371),f404(x20373,x20374,x20372))
% 184.05/183.92 [2038]~E(x20381,x20382)+E(f557(x20381,x20383,x20384,x20385),f557(x20382,x20383,x20384,x20385))
% 184.05/183.92 [2039]~E(x20391,x20392)+E(f557(x20393,x20391,x20394,x20395),f557(x20393,x20392,x20394,x20395))
% 184.05/183.92 [2040]~E(x20401,x20402)+E(f557(x20403,x20404,x20401,x20405),f557(x20403,x20404,x20402,x20405))
% 184.05/183.92 [2041]~E(x20411,x20412)+E(f557(x20413,x20414,x20415,x20411),f557(x20413,x20414,x20415,x20412))
% 184.05/183.92 [2042]~E(x20421,x20422)+E(f573(x20421,x20423,x20424),f573(x20422,x20423,x20424))
% 184.05/183.92 [2043]~E(x20431,x20432)+E(f573(x20433,x20431,x20434),f573(x20433,x20432,x20434))
% 184.05/183.92 [2044]~E(x20441,x20442)+E(f573(x20443,x20444,x20441),f573(x20443,x20444,x20442))
% 184.05/183.92 [2045]~E(x20451,x20452)+E(f830(x20451,x20453,x20454,x20455,x20456,x20457,x20458,x20459),f830(x20452,x20453,x20454,x20455,x20456,x20457,x20458,x20459))
% 184.05/183.92 [2046]~E(x20461,x20462)+E(f830(x20463,x20461,x20464,x20465,x20466,x20467,x20468,x20469),f830(x20463,x20462,x20464,x20465,x20466,x20467,x20468,x20469))
% 184.05/183.92 [2047]~E(x20471,x20472)+E(f830(x20473,x20474,x20471,x20475,x20476,x20477,x20478,x20479),f830(x20473,x20474,x20472,x20475,x20476,x20477,x20478,x20479))
% 184.05/183.92 [2048]~E(x20481,x20482)+E(f830(x20483,x20484,x20485,x20481,x20486,x20487,x20488,x20489),f830(x20483,x20484,x20485,x20482,x20486,x20487,x20488,x20489))
% 184.05/183.92 [2049]~E(x20491,x20492)+E(f830(x20493,x20494,x20495,x20496,x20491,x20497,x20498,x20499),f830(x20493,x20494,x20495,x20496,x20492,x20497,x20498,x20499))
% 184.05/183.92 [2050]~E(x20501,x20502)+E(f830(x20503,x20504,x20505,x20506,x20507,x20501,x20508,x20509),f830(x20503,x20504,x20505,x20506,x20507,x20502,x20508,x20509))
% 184.05/183.92 [2051]~E(x20511,x20512)+E(f830(x20513,x20514,x20515,x20516,x20517,x20518,x20511,x20519),f830(x20513,x20514,x20515,x20516,x20517,x20518,x20512,x20519))
% 184.05/183.92 [2052]~E(x20521,x20522)+E(f830(x20523,x20524,x20525,x20526,x20527,x20528,x20529,x20521),f830(x20523,x20524,x20525,x20526,x20527,x20528,x20529,x20522))
% 184.05/183.92 [2053]~E(x20531,x20532)+E(f288(x20531,x20533,x20534),f288(x20532,x20533,x20534))
% 184.05/183.92 [2054]~E(x20541,x20542)+E(f288(x20543,x20541,x20544),f288(x20543,x20542,x20544))
% 184.05/183.92 [2055]~E(x20551,x20552)+E(f288(x20553,x20554,x20551),f288(x20553,x20554,x20552))
% 184.05/183.92 [2056]~E(x20561,x20562)+E(f410(x20561,x20563,x20564),f410(x20562,x20563,x20564))
% 184.05/183.92 [2057]~E(x20571,x20572)+E(f410(x20573,x20571,x20574),f410(x20573,x20572,x20574))
% 184.05/183.92 [2058]~E(x20581,x20582)+E(f410(x20583,x20584,x20581),f410(x20583,x20584,x20582))
% 184.05/183.92 [2059]~E(x20591,x20592)+E(f394(x20591,x20593,x20594,x20595,x20596),f394(x20592,x20593,x20594,x20595,x20596))
% 184.05/183.92 [2060]~E(x20601,x20602)+E(f394(x20603,x20601,x20604,x20605,x20606),f394(x20603,x20602,x20604,x20605,x20606))
% 184.05/183.92 [2061]~E(x20611,x20612)+E(f394(x20613,x20614,x20611,x20615,x20616),f394(x20613,x20614,x20612,x20615,x20616))
% 184.05/183.92 [2062]~E(x20621,x20622)+E(f394(x20623,x20624,x20625,x20621,x20626),f394(x20623,x20624,x20625,x20622,x20626))
% 184.05/183.92 [2063]~E(x20631,x20632)+E(f394(x20633,x20634,x20635,x20636,x20631),f394(x20633,x20634,x20635,x20636,x20632))
% 184.05/183.92 [2064]~E(x20641,x20642)+E(f836(x20641,x20643,x20644,x20645,x20646,x20647,x20648,x20649),f836(x20642,x20643,x20644,x20645,x20646,x20647,x20648,x20649))
% 184.05/183.92 [2065]~E(x20651,x20652)+E(f836(x20653,x20651,x20654,x20655,x20656,x20657,x20658,x20659),f836(x20653,x20652,x20654,x20655,x20656,x20657,x20658,x20659))
% 184.05/183.92 [2066]~E(x20661,x20662)+E(f836(x20663,x20664,x20661,x20665,x20666,x20667,x20668,x20669),f836(x20663,x20664,x20662,x20665,x20666,x20667,x20668,x20669))
% 184.05/183.92 [2067]~E(x20671,x20672)+E(f836(x20673,x20674,x20675,x20671,x20676,x20677,x20678,x20679),f836(x20673,x20674,x20675,x20672,x20676,x20677,x20678,x20679))
% 184.05/183.92 [2068]~E(x20681,x20682)+E(f836(x20683,x20684,x20685,x20686,x20681,x20687,x20688,x20689),f836(x20683,x20684,x20685,x20686,x20682,x20687,x20688,x20689))
% 184.05/183.92 [2069]~E(x20691,x20692)+E(f836(x20693,x20694,x20695,x20696,x20697,x20691,x20698,x20699),f836(x20693,x20694,x20695,x20696,x20697,x20692,x20698,x20699))
% 184.05/183.92 [2070]~E(x20701,x20702)+E(f836(x20703,x20704,x20705,x20706,x20707,x20708,x20701,x20709),f836(x20703,x20704,x20705,x20706,x20707,x20708,x20702,x20709))
% 184.05/183.92 [2071]~E(x20711,x20712)+E(f836(x20713,x20714,x20715,x20716,x20717,x20718,x20719,x20711),f836(x20713,x20714,x20715,x20716,x20717,x20718,x20719,x20712))
% 184.05/183.92 [2072]~E(x20721,x20722)+E(f837(x20721,x20723,x20724,x20725,x20726,x20727),f837(x20722,x20723,x20724,x20725,x20726,x20727))
% 184.05/183.92 [2073]~E(x20731,x20732)+E(f837(x20733,x20731,x20734,x20735,x20736,x20737),f837(x20733,x20732,x20734,x20735,x20736,x20737))
% 184.05/183.92 [2074]~E(x20741,x20742)+E(f837(x20743,x20744,x20741,x20745,x20746,x20747),f837(x20743,x20744,x20742,x20745,x20746,x20747))
% 184.05/183.92 [2075]~E(x20751,x20752)+E(f837(x20753,x20754,x20755,x20751,x20756,x20757),f837(x20753,x20754,x20755,x20752,x20756,x20757))
% 184.05/183.92 [2076]~E(x20761,x20762)+E(f837(x20763,x20764,x20765,x20766,x20761,x20767),f837(x20763,x20764,x20765,x20766,x20762,x20767))
% 184.05/183.92 [2077]~E(x20771,x20772)+E(f837(x20773,x20774,x20775,x20776,x20777,x20771),f837(x20773,x20774,x20775,x20776,x20777,x20772))
% 184.05/183.92 [2078]~E(x20781,x20782)+E(f497(x20781,x20783,x20784,x20785,x20786),f497(x20782,x20783,x20784,x20785,x20786))
% 184.05/183.92 [2079]~E(x20791,x20792)+E(f497(x20793,x20791,x20794,x20795,x20796),f497(x20793,x20792,x20794,x20795,x20796))
% 184.05/183.92 [2080]~E(x20801,x20802)+E(f497(x20803,x20804,x20801,x20805,x20806),f497(x20803,x20804,x20802,x20805,x20806))
% 184.05/183.92 [2081]~E(x20811,x20812)+E(f497(x20813,x20814,x20815,x20811,x20816),f497(x20813,x20814,x20815,x20812,x20816))
% 184.05/183.92 [2082]~E(x20821,x20822)+E(f497(x20823,x20824,x20825,x20826,x20821),f497(x20823,x20824,x20825,x20826,x20822))
% 184.05/183.92 [2083]~E(x20831,x20832)+E(f528(x20831,x20833),f528(x20832,x20833))
% 184.05/183.92 [2084]~E(x20841,x20842)+E(f528(x20843,x20841),f528(x20843,x20842))
% 184.05/183.92 [2085]~E(x20851,x20852)+E(f885(x20851,x20853,x20854,x20855),f885(x20852,x20853,x20854,x20855))
% 184.05/183.92 [2086]~E(x20861,x20862)+E(f885(x20863,x20861,x20864,x20865),f885(x20863,x20862,x20864,x20865))
% 184.05/183.92 [2087]~E(x20871,x20872)+E(f885(x20873,x20874,x20871,x20875),f885(x20873,x20874,x20872,x20875))
% 184.05/183.92 [2088]~E(x20881,x20882)+E(f885(x20883,x20884,x20885,x20881),f885(x20883,x20884,x20885,x20882))
% 184.05/183.92 [2089]~E(x20891,x20892)+E(f572(x20891,x20893,x20894),f572(x20892,x20893,x20894))
% 184.05/183.92 [2090]~E(x20901,x20902)+E(f572(x20903,x20901,x20904),f572(x20903,x20902,x20904))
% 184.05/183.92 [2091]~E(x20911,x20912)+E(f572(x20913,x20914,x20911),f572(x20913,x20914,x20912))
% 184.05/183.92 [2092]~E(x20921,x20922)+E(f775(x20921,x20923,x20924,x20925),f775(x20922,x20923,x20924,x20925))
% 184.05/183.92 [2093]~E(x20931,x20932)+E(f775(x20933,x20931,x20934,x20935),f775(x20933,x20932,x20934,x20935))
% 184.05/183.92 [2094]~E(x20941,x20942)+E(f775(x20943,x20944,x20941,x20945),f775(x20943,x20944,x20942,x20945))
% 184.05/183.92 [2095]~E(x20951,x20952)+E(f775(x20953,x20954,x20955,x20951),f775(x20953,x20954,x20955,x20952))
% 184.05/183.92 [2096]~E(x20961,x20962)+E(f265(x20961,x20963),f265(x20962,x20963))
% 184.05/183.92 [2097]~E(x20971,x20972)+E(f265(x20973,x20971),f265(x20973,x20972))
% 184.05/183.92 [2098]~E(x20981,x20982)+E(f823(x20981,x20983),f823(x20982,x20983))
% 184.05/183.92 [2099]~E(x20991,x20992)+E(f823(x20993,x20991),f823(x20993,x20992))
% 184.05/183.92 [2100]~E(x21001,x21002)+E(f526(x21001,x21003),f526(x21002,x21003))
% 184.05/183.92 [2101]~E(x21011,x21012)+E(f526(x21013,x21011),f526(x21013,x21012))
% 184.05/183.92 [2102]~E(x21021,x21022)+E(f407(x21021,x21023,x21024),f407(x21022,x21023,x21024))
% 184.05/183.92 [2103]~E(x21031,x21032)+E(f407(x21033,x21031,x21034),f407(x21033,x21032,x21034))
% 184.05/183.92 [2104]~E(x21041,x21042)+E(f407(x21043,x21044,x21041),f407(x21043,x21044,x21042))
% 184.05/183.92 [2105]~E(x21051,x21052)+E(f495(x21051),f495(x21052))
% 184.05/183.92 [2106]~E(x21061,x21062)+E(f427(x21061,x21063,x21064,x21065,x21066),f427(x21062,x21063,x21064,x21065,x21066))
% 184.05/183.92 [2107]~E(x21071,x21072)+E(f427(x21073,x21071,x21074,x21075,x21076),f427(x21073,x21072,x21074,x21075,x21076))
% 184.05/183.92 [2108]~E(x21081,x21082)+E(f427(x21083,x21084,x21081,x21085,x21086),f427(x21083,x21084,x21082,x21085,x21086))
% 184.05/183.92 [2109]~E(x21091,x21092)+E(f427(x21093,x21094,x21095,x21091,x21096),f427(x21093,x21094,x21095,x21092,x21096))
% 184.05/183.92 [2110]~E(x21101,x21102)+E(f427(x21103,x21104,x21105,x21106,x21101),f427(x21103,x21104,x21105,x21106,x21102))
% 184.05/183.92 [2111]~E(x21111,x21112)+E(f401(x21111,x21113,x21114),f401(x21112,x21113,x21114))
% 184.05/183.92 [2112]~E(x21121,x21122)+E(f401(x21123,x21121,x21124),f401(x21123,x21122,x21124))
% 184.05/183.92 [2113]~E(x21131,x21132)+E(f401(x21133,x21134,x21131),f401(x21133,x21134,x21132))
% 184.05/183.92 [2114]~E(x21141,x21142)+E(f580(x21141,x21143,x21144,x21145,x21146,x21147),f580(x21142,x21143,x21144,x21145,x21146,x21147))
% 184.05/183.92 [2115]~E(x21151,x21152)+E(f580(x21153,x21151,x21154,x21155,x21156,x21157),f580(x21153,x21152,x21154,x21155,x21156,x21157))
% 184.05/183.92 [2116]~E(x21161,x21162)+E(f580(x21163,x21164,x21161,x21165,x21166,x21167),f580(x21163,x21164,x21162,x21165,x21166,x21167))
% 184.05/183.92 [2117]~E(x21171,x21172)+E(f580(x21173,x21174,x21175,x21171,x21176,x21177),f580(x21173,x21174,x21175,x21172,x21176,x21177))
% 184.05/183.92 [2118]~E(x21181,x21182)+E(f580(x21183,x21184,x21185,x21186,x21181,x21187),f580(x21183,x21184,x21185,x21186,x21182,x21187))
% 184.05/183.92 [2119]~E(x21191,x21192)+E(f580(x21193,x21194,x21195,x21196,x21197,x21191),f580(x21193,x21194,x21195,x21196,x21197,x21192))
% 184.05/183.92 [2120]~E(x21201,x21202)+E(f639(x21201,x21203,x21204),f639(x21202,x21203,x21204))
% 184.05/183.92 [2121]~E(x21211,x21212)+E(f639(x21213,x21211,x21214),f639(x21213,x21212,x21214))
% 184.05/183.92 [2122]~E(x21221,x21222)+E(f639(x21223,x21224,x21221),f639(x21223,x21224,x21222))
% 184.05/183.92 [2123]~E(x21231,x21232)+E(f807(x21231,x21233),f807(x21232,x21233))
% 184.05/183.92 [2124]~E(x21241,x21242)+E(f807(x21243,x21241),f807(x21243,x21242))
% 184.05/183.92 [2125]~E(x21251,x21252)+E(f603(x21251,x21253,x21254),f603(x21252,x21253,x21254))
% 184.05/183.92 [2126]~E(x21261,x21262)+E(f603(x21263,x21261,x21264),f603(x21263,x21262,x21264))
% 184.05/183.92 [2127]~E(x21271,x21272)+E(f603(x21273,x21274,x21271),f603(x21273,x21274,x21272))
% 184.05/183.92 [2128]~E(x21281,x21282)+E(f702(x21281,x21283,x21284,x21285,x21286),f702(x21282,x21283,x21284,x21285,x21286))
% 184.05/183.92 [2129]~E(x21291,x21292)+E(f702(x21293,x21291,x21294,x21295,x21296),f702(x21293,x21292,x21294,x21295,x21296))
% 184.05/183.92 [2130]~E(x21301,x21302)+E(f702(x21303,x21304,x21301,x21305,x21306),f702(x21303,x21304,x21302,x21305,x21306))
% 184.05/183.92 [2131]~E(x21311,x21312)+E(f702(x21313,x21314,x21315,x21311,x21316),f702(x21313,x21314,x21315,x21312,x21316))
% 184.05/183.92 [2132]~E(x21321,x21322)+E(f702(x21323,x21324,x21325,x21326,x21321),f702(x21323,x21324,x21325,x21326,x21322))
% 184.05/183.92 [2133]~E(x21331,x21332)+E(f594(x21331,x21333,x21334),f594(x21332,x21333,x21334))
% 184.05/183.92 [2134]~E(x21341,x21342)+E(f594(x21343,x21341,x21344),f594(x21343,x21342,x21344))
% 184.05/183.92 [2135]~E(x21351,x21352)+E(f594(x21353,x21354,x21351),f594(x21353,x21354,x21352))
% 184.05/183.92 [2136]~E(x21361,x21362)+E(f359(x21361,x21363,x21364,x21365),f359(x21362,x21363,x21364,x21365))
% 184.05/183.92 [2137]~E(x21371,x21372)+E(f359(x21373,x21371,x21374,x21375),f359(x21373,x21372,x21374,x21375))
% 184.05/183.92 [2138]~E(x21381,x21382)+E(f359(x21383,x21384,x21381,x21385),f359(x21383,x21384,x21382,x21385))
% 184.05/183.92 [2139]~E(x21391,x21392)+E(f359(x21393,x21394,x21395,x21391),f359(x21393,x21394,x21395,x21392))
% 184.05/183.92 [2140]~E(x21401,x21402)+E(f658(x21401,x21403,x21404,x21405),f658(x21402,x21403,x21404,x21405))
% 184.05/183.92 [2141]~E(x21411,x21412)+E(f658(x21413,x21411,x21414,x21415),f658(x21413,x21412,x21414,x21415))
% 184.05/183.92 [2142]~E(x21421,x21422)+E(f658(x21423,x21424,x21421,x21425),f658(x21423,x21424,x21422,x21425))
% 184.05/183.92 [2143]~E(x21431,x21432)+E(f658(x21433,x21434,x21435,x21431),f658(x21433,x21434,x21435,x21432))
% 184.05/183.92 [2144]~E(x21441,x21442)+E(f721(x21441,x21443),f721(x21442,x21443))
% 184.05/183.92 [2145]~E(x21451,x21452)+E(f721(x21453,x21451),f721(x21453,x21452))
% 184.05/183.92 [2146]~E(x21461,x21462)+E(f491(x21461,x21463,x21464,x21465,x21466),f491(x21462,x21463,x21464,x21465,x21466))
% 184.05/183.92 [2147]~E(x21471,x21472)+E(f491(x21473,x21471,x21474,x21475,x21476),f491(x21473,x21472,x21474,x21475,x21476))
% 184.05/183.92 [2148]~E(x21481,x21482)+E(f491(x21483,x21484,x21481,x21485,x21486),f491(x21483,x21484,x21482,x21485,x21486))
% 184.05/183.92 [2149]~E(x21491,x21492)+E(f491(x21493,x21494,x21495,x21491,x21496),f491(x21493,x21494,x21495,x21492,x21496))
% 184.05/183.92 [2150]~E(x21501,x21502)+E(f491(x21503,x21504,x21505,x21506,x21501),f491(x21503,x21504,x21505,x21506,x21502))
% 184.05/183.92 [2151]~E(x21511,x21512)+E(f360(x21511,x21513,x21514,x21515),f360(x21512,x21513,x21514,x21515))
% 184.05/183.92 [2152]~E(x21521,x21522)+E(f360(x21523,x21521,x21524,x21525),f360(x21523,x21522,x21524,x21525))
% 184.05/183.92 [2153]~E(x21531,x21532)+E(f360(x21533,x21534,x21531,x21535),f360(x21533,x21534,x21532,x21535))
% 184.05/183.92 [2154]~E(x21541,x21542)+E(f360(x21543,x21544,x21545,x21541),f360(x21543,x21544,x21545,x21542))
% 184.05/183.92 [2155]~E(x21551,x21552)+E(f236(x21551,x21553,x21554,x21555,x21556,x21557),f236(x21552,x21553,x21554,x21555,x21556,x21557))
% 184.05/183.92 [2156]~E(x21561,x21562)+E(f236(x21563,x21561,x21564,x21565,x21566,x21567),f236(x21563,x21562,x21564,x21565,x21566,x21567))
% 184.05/183.92 [2157]~E(x21571,x21572)+E(f236(x21573,x21574,x21571,x21575,x21576,x21577),f236(x21573,x21574,x21572,x21575,x21576,x21577))
% 184.05/183.92 [2158]~E(x21581,x21582)+E(f236(x21583,x21584,x21585,x21581,x21586,x21587),f236(x21583,x21584,x21585,x21582,x21586,x21587))
% 184.05/183.92 [2159]~E(x21591,x21592)+E(f236(x21593,x21594,x21595,x21596,x21591,x21597),f236(x21593,x21594,x21595,x21596,x21592,x21597))
% 184.05/183.92 [2160]~E(x21601,x21602)+E(f236(x21603,x21604,x21605,x21606,x21607,x21601),f236(x21603,x21604,x21605,x21606,x21607,x21602))
% 184.05/183.92 [2161]~E(x21611,x21612)+E(f514(x21611,x21613,x21614),f514(x21612,x21613,x21614))
% 184.05/183.92 [2162]~E(x21621,x21622)+E(f514(x21623,x21621,x21624),f514(x21623,x21622,x21624))
% 184.05/183.92 [2163]~E(x21631,x21632)+E(f514(x21633,x21634,x21631),f514(x21633,x21634,x21632))
% 184.05/183.92 [2164]~E(x21641,x21642)+E(f707(x21641,x21643),f707(x21642,x21643))
% 184.05/183.92 [2165]~E(x21651,x21652)+E(f707(x21653,x21651),f707(x21653,x21652))
% 184.05/183.92 [2166]~E(x21661,x21662)+E(f574(x21661,x21663,x21664),f574(x21662,x21663,x21664))
% 184.05/183.92 [2167]~E(x21671,x21672)+E(f574(x21673,x21671,x21674),f574(x21673,x21672,x21674))
% 184.05/183.92 [2168]~E(x21681,x21682)+E(f574(x21683,x21684,x21681),f574(x21683,x21684,x21682))
% 184.05/183.92 [2169]~E(x21691,x21692)+E(f676(x21691,x21693,x21694,x21695,x21696),f676(x21692,x21693,x21694,x21695,x21696))
% 184.05/183.92 [2170]~E(x21701,x21702)+E(f676(x21703,x21701,x21704,x21705,x21706),f676(x21703,x21702,x21704,x21705,x21706))
% 184.05/183.92 [2171]~E(x21711,x21712)+E(f676(x21713,x21714,x21711,x21715,x21716),f676(x21713,x21714,x21712,x21715,x21716))
% 184.05/183.92 [2172]~E(x21721,x21722)+E(f676(x21723,x21724,x21725,x21721,x21726),f676(x21723,x21724,x21725,x21722,x21726))
% 184.05/183.92 [2173]~E(x21731,x21732)+E(f676(x21733,x21734,x21735,x21736,x21731),f676(x21733,x21734,x21735,x21736,x21732))
% 184.05/183.92 [2174]~E(x21741,x21742)+E(f711(x21741,x21743,x21744,x21745),f711(x21742,x21743,x21744,x21745))
% 184.05/183.92 [2175]~E(x21751,x21752)+E(f711(x21753,x21751,x21754,x21755),f711(x21753,x21752,x21754,x21755))
% 184.05/183.92 [2176]~E(x21761,x21762)+E(f711(x21763,x21764,x21761,x21765),f711(x21763,x21764,x21762,x21765))
% 184.05/183.92 [2177]~E(x21771,x21772)+E(f711(x21773,x21774,x21775,x21771),f711(x21773,x21774,x21775,x21772))
% 184.05/183.92 [2178]~E(x21781,x21782)+E(f784(x21781,x21783),f784(x21782,x21783))
% 184.05/183.92 [2179]~E(x21791,x21792)+E(f784(x21793,x21791),f784(x21793,x21792))
% 184.05/183.92 [2180]~E(x21801,x21802)+E(f706(x21801,x21803,x21804,x21805),f706(x21802,x21803,x21804,x21805))
% 184.05/183.92 [2181]~E(x21811,x21812)+E(f706(x21813,x21811,x21814,x21815),f706(x21813,x21812,x21814,x21815))
% 184.05/183.92 [2182]~E(x21821,x21822)+E(f706(x21823,x21824,x21821,x21825),f706(x21823,x21824,x21822,x21825))
% 184.05/183.92 [2183]~E(x21831,x21832)+E(f706(x21833,x21834,x21835,x21831),f706(x21833,x21834,x21835,x21832))
% 184.05/183.92 [2184]~E(x21841,x21842)+E(f366(x21841,x21843,x21844,x21845),f366(x21842,x21843,x21844,x21845))
% 184.05/183.92 [2185]~E(x21851,x21852)+E(f366(x21853,x21851,x21854,x21855),f366(x21853,x21852,x21854,x21855))
% 184.05/183.92 [2186]~E(x21861,x21862)+E(f366(x21863,x21864,x21861,x21865),f366(x21863,x21864,x21862,x21865))
% 184.05/183.92 [2187]~E(x21871,x21872)+E(f366(x21873,x21874,x21875,x21871),f366(x21873,x21874,x21875,x21872))
% 184.05/183.92 [2188]~E(x21881,x21882)+E(f348(x21881,x21883,x21884,x21885),f348(x21882,x21883,x21884,x21885))
% 184.05/183.92 [2189]~E(x21891,x21892)+E(f348(x21893,x21891,x21894,x21895),f348(x21893,x21892,x21894,x21895))
% 184.05/183.92 [2190]~E(x21901,x21902)+E(f348(x21903,x21904,x21901,x21905),f348(x21903,x21904,x21902,x21905))
% 184.05/183.92 [2191]~E(x21911,x21912)+E(f348(x21913,x21914,x21915,x21911),f348(x21913,x21914,x21915,x21912))
% 184.05/183.92 [2192]~E(x21921,x21922)+E(f357(x21921,x21923,x21924,x21925),f357(x21922,x21923,x21924,x21925))
% 184.05/183.92 [2193]~E(x21931,x21932)+E(f357(x21933,x21931,x21934,x21935),f357(x21933,x21932,x21934,x21935))
% 184.05/183.92 [2194]~E(x21941,x21942)+E(f357(x21943,x21944,x21941,x21945),f357(x21943,x21944,x21942,x21945))
% 184.05/183.92 [2195]~E(x21951,x21952)+E(f357(x21953,x21954,x21955,x21951),f357(x21953,x21954,x21955,x21952))
% 184.05/183.92 [2196]~E(x21961,x21962)+E(f886(x21961,x21963),f886(x21962,x21963))
% 184.05/183.92 [2197]~E(x21971,x21972)+E(f886(x21973,x21971),f886(x21973,x21972))
% 184.05/183.92 [2198]~E(x21981,x21982)+E(f422(x21981,x21983),f422(x21982,x21983))
% 184.05/183.92 [2199]~E(x21991,x21992)+E(f422(x21993,x21991),f422(x21993,x21992))
% 184.05/183.92 [2200]~E(x22001,x22002)+E(f673(x22001,x22003,x22004),f673(x22002,x22003,x22004))
% 184.05/183.92 [2201]~E(x22011,x22012)+E(f673(x22013,x22011,x22014),f673(x22013,x22012,x22014))
% 184.05/183.92 [2202]~E(x22021,x22022)+E(f673(x22023,x22024,x22021),f673(x22023,x22024,x22022))
% 184.05/183.92 [2203]~E(x22031,x22032)+E(f335(x22031,x22033,x22034),f335(x22032,x22033,x22034))
% 184.05/183.92 [2204]~E(x22041,x22042)+E(f335(x22043,x22041,x22044),f335(x22043,x22042,x22044))
% 184.05/183.92 [2205]~E(x22051,x22052)+E(f335(x22053,x22054,x22051),f335(x22053,x22054,x22052))
% 184.05/183.92 [2206]~E(x22061,x22062)+E(f388(x22061,x22063,x22064,x22065),f388(x22062,x22063,x22064,x22065))
% 184.05/183.92 [2207]~E(x22071,x22072)+E(f388(x22073,x22071,x22074,x22075),f388(x22073,x22072,x22074,x22075))
% 184.05/183.92 [2208]~E(x22081,x22082)+E(f388(x22083,x22084,x22081,x22085),f388(x22083,x22084,x22082,x22085))
% 184.05/183.92 [2209]~E(x22091,x22092)+E(f388(x22093,x22094,x22095,x22091),f388(x22093,x22094,x22095,x22092))
% 184.05/183.92 [2210]~E(x22101,x22102)+E(f361(x22101,x22103,x22104,x22105),f361(x22102,x22103,x22104,x22105))
% 184.05/183.92 [2211]~E(x22111,x22112)+E(f361(x22113,x22111,x22114,x22115),f361(x22113,x22112,x22114,x22115))
% 184.05/183.92 [2212]~E(x22121,x22122)+E(f361(x22123,x22124,x22121,x22125),f361(x22123,x22124,x22122,x22125))
% 184.05/183.92 [2213]~E(x22131,x22132)+E(f361(x22133,x22134,x22135,x22131),f361(x22133,x22134,x22135,x22132))
% 184.05/183.92 [2214]~E(x22141,x22142)+E(f798(x22141),f798(x22142))
% 184.05/183.92 [2215]~E(x22151,x22152)+E(f701(x22151,x22153,x22154),f701(x22152,x22153,x22154))
% 184.05/183.92 [2216]~E(x22161,x22162)+E(f701(x22163,x22161,x22164),f701(x22163,x22162,x22164))
% 184.05/183.92 [2217]~E(x22171,x22172)+E(f701(x22173,x22174,x22171),f701(x22173,x22174,x22172))
% 184.05/183.92 [2218]~E(x22181,x22182)+E(f579(x22181,x22183,x22184,x22185,x22186,x22187),f579(x22182,x22183,x22184,x22185,x22186,x22187))
% 184.05/183.92 [2219]~E(x22191,x22192)+E(f579(x22193,x22191,x22194,x22195,x22196,x22197),f579(x22193,x22192,x22194,x22195,x22196,x22197))
% 184.05/183.92 [2220]~E(x22201,x22202)+E(f579(x22203,x22204,x22201,x22205,x22206,x22207),f579(x22203,x22204,x22202,x22205,x22206,x22207))
% 184.05/183.92 [2221]~E(x22211,x22212)+E(f579(x22213,x22214,x22215,x22211,x22216,x22217),f579(x22213,x22214,x22215,x22212,x22216,x22217))
% 184.05/183.92 [2222]~E(x22221,x22222)+E(f579(x22223,x22224,x22225,x22226,x22221,x22227),f579(x22223,x22224,x22225,x22226,x22222,x22227))
% 184.05/183.92 [2223]~E(x22231,x22232)+E(f579(x22233,x22234,x22235,x22236,x22237,x22231),f579(x22233,x22234,x22235,x22236,x22237,x22232))
% 184.05/183.92 [2224]~E(x22241,x22242)+E(f686(x22241,x22243,x22244),f686(x22242,x22243,x22244))
% 184.05/183.92 [2225]~E(x22251,x22252)+E(f686(x22253,x22251,x22254),f686(x22253,x22252,x22254))
% 184.05/183.92 [2226]~E(x22261,x22262)+E(f686(x22263,x22264,x22261),f686(x22263,x22264,x22262))
% 184.05/183.92 [2227]~E(x22271,x22272)+E(f583(x22271,x22273,x22274),f583(x22272,x22273,x22274))
% 184.05/183.92 [2228]~E(x22281,x22282)+E(f583(x22283,x22281,x22284),f583(x22283,x22282,x22284))
% 184.05/183.92 [2229]~E(x22291,x22292)+E(f583(x22293,x22294,x22291),f583(x22293,x22294,x22292))
% 184.05/183.92 [2230]~E(x22301,x22302)+E(f468(x22301,x22303,x22304,x22305,x22306),f468(x22302,x22303,x22304,x22305,x22306))
% 184.05/183.92 [2231]~E(x22311,x22312)+E(f468(x22313,x22311,x22314,x22315,x22316),f468(x22313,x22312,x22314,x22315,x22316))
% 184.05/183.92 [2232]~E(x22321,x22322)+E(f468(x22323,x22324,x22321,x22325,x22326),f468(x22323,x22324,x22322,x22325,x22326))
% 184.05/183.92 [2233]~E(x22331,x22332)+E(f468(x22333,x22334,x22335,x22331,x22336),f468(x22333,x22334,x22335,x22332,x22336))
% 184.05/183.92 [2234]~E(x22341,x22342)+E(f468(x22343,x22344,x22345,x22346,x22341),f468(x22343,x22344,x22345,x22346,x22342))
% 184.05/183.92 [2235]~E(x22351,x22352)+E(f787(x22351,x22353),f787(x22352,x22353))
% 184.05/183.92 [2236]~E(x22361,x22362)+E(f787(x22363,x22361),f787(x22363,x22362))
% 184.05/183.92 [2237]~E(x22371,x22372)+E(f391(x22371,x22373),f391(x22372,x22373))
% 184.05/183.92 [2238]~E(x22381,x22382)+E(f391(x22383,x22381),f391(x22383,x22382))
% 184.05/183.92 [2239]~E(x22391,x22392)+E(f724(x22391,x22393,x22394,x22395,x22396),f724(x22392,x22393,x22394,x22395,x22396))
% 184.05/183.92 [2240]~E(x22401,x22402)+E(f724(x22403,x22401,x22404,x22405,x22406),f724(x22403,x22402,x22404,x22405,x22406))
% 184.05/183.92 [2241]~E(x22411,x22412)+E(f724(x22413,x22414,x22411,x22415,x22416),f724(x22413,x22414,x22412,x22415,x22416))
% 184.05/183.92 [2242]~E(x22421,x22422)+E(f724(x22423,x22424,x22425,x22421,x22426),f724(x22423,x22424,x22425,x22422,x22426))
% 184.05/183.92 [2243]~E(x22431,x22432)+E(f724(x22433,x22434,x22435,x22436,x22431),f724(x22433,x22434,x22435,x22436,x22432))
% 184.05/183.92 [2244]~E(x22441,x22442)+E(f393(x22441,x22443,x22444),f393(x22442,x22443,x22444))
% 184.05/183.92 [2245]~E(x22451,x22452)+E(f393(x22453,x22451,x22454),f393(x22453,x22452,x22454))
% 184.05/183.92 [2246]~E(x22461,x22462)+E(f393(x22463,x22464,x22461),f393(x22463,x22464,x22462))
% 184.05/183.92 [2247]~E(x22471,x22472)+E(f717(x22471,x22473,x22474,x22475),f717(x22472,x22473,x22474,x22475))
% 184.05/183.92 [2248]~E(x22481,x22482)+E(f717(x22483,x22481,x22484,x22485),f717(x22483,x22482,x22484,x22485))
% 184.05/183.92 [2249]~E(x22491,x22492)+E(f717(x22493,x22494,x22491,x22495),f717(x22493,x22494,x22492,x22495))
% 184.05/183.92 [2250]~E(x22501,x22502)+E(f717(x22503,x22504,x22505,x22501),f717(x22503,x22504,x22505,x22502))
% 184.05/183.92 [2251]~E(x22511,x22512)+E(f334(x22511,x22513),f334(x22512,x22513))
% 184.05/183.92 [2252]~E(x22521,x22522)+E(f334(x22523,x22521),f334(x22523,x22522))
% 184.05/183.92 [2253]~E(x22531,x22532)+E(f742(x22531,x22533,x22534),f742(x22532,x22533,x22534))
% 184.05/183.92 [2254]~E(x22541,x22542)+E(f742(x22543,x22541,x22544),f742(x22543,x22542,x22544))
% 184.05/183.92 [2255]~E(x22551,x22552)+E(f742(x22553,x22554,x22551),f742(x22553,x22554,x22552))
% 184.05/183.92 [2256]~E(x22561,x22562)+E(f481(x22561,x22563,x22564,x22565,x22566),f481(x22562,x22563,x22564,x22565,x22566))
% 184.05/183.92 [2257]~E(x22571,x22572)+E(f481(x22573,x22571,x22574,x22575,x22576),f481(x22573,x22572,x22574,x22575,x22576))
% 184.05/183.92 [2258]~E(x22581,x22582)+E(f481(x22583,x22584,x22581,x22585,x22586),f481(x22583,x22584,x22582,x22585,x22586))
% 184.05/183.92 [2259]~E(x22591,x22592)+E(f481(x22593,x22594,x22595,x22591,x22596),f481(x22593,x22594,x22595,x22592,x22596))
% 184.05/183.92 [2260]~E(x22601,x22602)+E(f481(x22603,x22604,x22605,x22606,x22601),f481(x22603,x22604,x22605,x22606,x22602))
% 184.05/183.92 [2261]~E(x22611,x22612)+E(f889(x22611),f889(x22612))
% 184.05/183.92 [2262]~E(x22621,x22622)+E(f718(x22621,x22623,x22624,x22625,x22626),f718(x22622,x22623,x22624,x22625,x22626))
% 184.05/183.92 [2263]~E(x22631,x22632)+E(f718(x22633,x22631,x22634,x22635,x22636),f718(x22633,x22632,x22634,x22635,x22636))
% 184.05/183.92 [2264]~E(x22641,x22642)+E(f718(x22643,x22644,x22641,x22645,x22646),f718(x22643,x22644,x22642,x22645,x22646))
% 184.05/183.92 [2265]~E(x22651,x22652)+E(f718(x22653,x22654,x22655,x22651,x22656),f718(x22653,x22654,x22655,x22652,x22656))
% 184.05/183.92 [2266]~E(x22661,x22662)+E(f718(x22663,x22664,x22665,x22666,x22661),f718(x22663,x22664,x22665,x22666,x22662))
% 184.05/183.92 [2267]~E(x22671,x22672)+E(f551(x22671,x22673,x22674),f551(x22672,x22673,x22674))
% 184.05/183.92 [2268]~E(x22681,x22682)+E(f551(x22683,x22681,x22684),f551(x22683,x22682,x22684))
% 184.05/183.92 [2269]~E(x22691,x22692)+E(f551(x22693,x22694,x22691),f551(x22693,x22694,x22692))
% 184.05/183.92 [2270]~E(x22701,x22702)+E(f678(x22701,x22703),f678(x22702,x22703))
% 184.05/183.92 [2271]~E(x22711,x22712)+E(f678(x22713,x22711),f678(x22713,x22712))
% 184.05/183.92 [2272]~E(x22721,x22722)+E(f871(x22721,x22723,x22724),f871(x22722,x22723,x22724))
% 184.05/183.92 [2273]~E(x22731,x22732)+E(f871(x22733,x22731,x22734),f871(x22733,x22732,x22734))
% 184.05/183.92 [2274]~E(x22741,x22742)+E(f871(x22743,x22744,x22741),f871(x22743,x22744,x22742))
% 184.05/183.92 [2275]~E(x22751,x22752)+E(f537(x22751,x22753,x22754,x22755,x22756),f537(x22752,x22753,x22754,x22755,x22756))
% 184.05/183.92 [2276]~E(x22761,x22762)+E(f537(x22763,x22761,x22764,x22765,x22766),f537(x22763,x22762,x22764,x22765,x22766))
% 184.05/183.92 [2277]~E(x22771,x22772)+E(f537(x22773,x22774,x22771,x22775,x22776),f537(x22773,x22774,x22772,x22775,x22776))
% 184.05/183.92 [2278]~E(x22781,x22782)+E(f537(x22783,x22784,x22785,x22781,x22786),f537(x22783,x22784,x22785,x22782,x22786))
% 184.05/183.92 [2279]~E(x22791,x22792)+E(f537(x22793,x22794,x22795,x22796,x22791),f537(x22793,x22794,x22795,x22796,x22792))
% 184.05/183.92 [2280]~E(x22801,x22802)+E(f250(x22801,x22803,x22804,x22805,x22806),f250(x22802,x22803,x22804,x22805,x22806))
% 184.05/183.92 [2281]~E(x22811,x22812)+E(f250(x22813,x22811,x22814,x22815,x22816),f250(x22813,x22812,x22814,x22815,x22816))
% 184.05/183.92 [2282]~E(x22821,x22822)+E(f250(x22823,x22824,x22821,x22825,x22826),f250(x22823,x22824,x22822,x22825,x22826))
% 184.05/183.92 [2283]~E(x22831,x22832)+E(f250(x22833,x22834,x22835,x22831,x22836),f250(x22833,x22834,x22835,x22832,x22836))
% 184.05/183.92 [2284]~E(x22841,x22842)+E(f250(x22843,x22844,x22845,x22846,x22841),f250(x22843,x22844,x22845,x22846,x22842))
% 184.05/183.92 [2285]~E(x22851,x22852)+E(f682(x22851,x22853,x22854,x22855,x22856),f682(x22852,x22853,x22854,x22855,x22856))
% 184.05/183.92 [2286]~E(x22861,x22862)+E(f682(x22863,x22861,x22864,x22865,x22866),f682(x22863,x22862,x22864,x22865,x22866))
% 184.05/183.92 [2287]~E(x22871,x22872)+E(f682(x22873,x22874,x22871,x22875,x22876),f682(x22873,x22874,x22872,x22875,x22876))
% 184.05/183.92 [2288]~E(x22881,x22882)+E(f682(x22883,x22884,x22885,x22881,x22886),f682(x22883,x22884,x22885,x22882,x22886))
% 184.05/183.92 [2289]~E(x22891,x22892)+E(f682(x22893,x22894,x22895,x22896,x22891),f682(x22893,x22894,x22895,x22896,x22892))
% 184.05/183.92 [2290]~E(x22901,x22902)+E(f781(x22901,x22903,x22904,x22905,x22906),f781(x22902,x22903,x22904,x22905,x22906))
% 184.05/183.92 [2291]~E(x22911,x22912)+E(f781(x22913,x22911,x22914,x22915,x22916),f781(x22913,x22912,x22914,x22915,x22916))
% 184.05/183.92 [2292]~E(x22921,x22922)+E(f781(x22923,x22924,x22921,x22925,x22926),f781(x22923,x22924,x22922,x22925,x22926))
% 184.05/183.92 [2293]~E(x22931,x22932)+E(f781(x22933,x22934,x22935,x22931,x22936),f781(x22933,x22934,x22935,x22932,x22936))
% 184.05/183.92 [2294]~E(x22941,x22942)+E(f781(x22943,x22944,x22945,x22946,x22941),f781(x22943,x22944,x22945,x22946,x22942))
% 184.05/183.92 [2295]~E(x22951,x22952)+E(f415(x22951,x22953,x22954,x22955,x22956),f415(x22952,x22953,x22954,x22955,x22956))
% 184.05/183.92 [2296]~E(x22961,x22962)+E(f415(x22963,x22961,x22964,x22965,x22966),f415(x22963,x22962,x22964,x22965,x22966))
% 184.05/183.92 [2297]~E(x22971,x22972)+E(f415(x22973,x22974,x22971,x22975,x22976),f415(x22973,x22974,x22972,x22975,x22976))
% 184.05/183.92 [2298]~E(x22981,x22982)+E(f415(x22983,x22984,x22985,x22981,x22986),f415(x22983,x22984,x22985,x22982,x22986))
% 184.05/183.92 [2299]~E(x22991,x22992)+E(f415(x22993,x22994,x22995,x22996,x22991),f415(x22993,x22994,x22995,x22996,x22992))
% 184.05/183.92 [2300]~E(x23001,x23002)+E(f430(x23001,x23003,x23004),f430(x23002,x23003,x23004))
% 184.05/183.92 [2301]~E(x23011,x23012)+E(f430(x23013,x23011,x23014),f430(x23013,x23012,x23014))
% 184.05/183.92 [2302]~E(x23021,x23022)+E(f430(x23023,x23024,x23021),f430(x23023,x23024,x23022))
% 184.05/183.92 [2303]~E(x23031,x23032)+E(f793(x23031,x23033),f793(x23032,x23033))
% 184.05/183.92 [2304]~E(x23041,x23042)+E(f793(x23043,x23041),f793(x23043,x23042))
% 184.05/183.92 [2305]~E(x23051,x23052)+E(f675(x23051,x23053,x23054),f675(x23052,x23053,x23054))
% 184.05/183.92 [2306]~E(x23061,x23062)+E(f675(x23063,x23061,x23064),f675(x23063,x23062,x23064))
% 184.05/183.92 [2307]~E(x23071,x23072)+E(f675(x23073,x23074,x23071),f675(x23073,x23074,x23072))
% 184.05/183.92 [2308]~E(x23081,x23082)+E(f608(x23081,x23083,x23084),f608(x23082,x23083,x23084))
% 184.05/183.92 [2309]~E(x23091,x23092)+E(f608(x23093,x23091,x23094),f608(x23093,x23092,x23094))
% 184.05/183.92 [2310]~E(x23101,x23102)+E(f608(x23103,x23104,x23101),f608(x23103,x23104,x23102))
% 184.05/183.92 [2311]~E(x23111,x23112)+E(f585(x23111,x23113),f585(x23112,x23113))
% 184.05/183.92 [2312]~E(x23121,x23122)+E(f585(x23123,x23121),f585(x23123,x23122))
% 184.05/183.92 [2313]~E(x23131,x23132)+E(f600(x23131,x23133,x23134),f600(x23132,x23133,x23134))
% 184.05/183.92 [2314]~E(x23141,x23142)+E(f600(x23143,x23141,x23144),f600(x23143,x23142,x23144))
% 184.05/183.92 [2315]~E(x23151,x23152)+E(f600(x23153,x23154,x23151),f600(x23153,x23154,x23152))
% 184.05/183.92 [2316]~E(x23161,x23162)+E(f558(x23161,x23163,x23164),f558(x23162,x23163,x23164))
% 184.05/183.92 [2317]~E(x23171,x23172)+E(f558(x23173,x23171,x23174),f558(x23173,x23172,x23174))
% 184.05/183.92 [2318]~E(x23181,x23182)+E(f558(x23183,x23184,x23181),f558(x23183,x23184,x23182))
% 184.05/183.92 [2319]~E(x23191,x23192)+E(f200(x23191,x23193,x23194,x23195),f200(x23192,x23193,x23194,x23195))
% 184.05/183.92 [2320]~E(x23201,x23202)+E(f200(x23203,x23201,x23204,x23205),f200(x23203,x23202,x23204,x23205))
% 184.05/183.92 [2321]~E(x23211,x23212)+E(f200(x23213,x23214,x23211,x23215),f200(x23213,x23214,x23212,x23215))
% 184.05/183.92 [2322]~E(x23221,x23222)+E(f200(x23223,x23224,x23225,x23221),f200(x23223,x23224,x23225,x23222))
% 184.05/183.92 [2323]~E(x23231,x23232)+E(f605(x23231,x23233,x23234),f605(x23232,x23233,x23234))
% 184.05/183.92 [2324]~E(x23241,x23242)+E(f605(x23243,x23241,x23244),f605(x23243,x23242,x23244))
% 184.05/183.92 [2325]~E(x23251,x23252)+E(f605(x23253,x23254,x23251),f605(x23253,x23254,x23252))
% 184.05/183.92 [2326]~E(x23261,x23262)+E(f482(x23261,x23263,x23264,x23265,x23266),f482(x23262,x23263,x23264,x23265,x23266))
% 184.05/183.92 [2327]~E(x23271,x23272)+E(f482(x23273,x23271,x23274,x23275,x23276),f482(x23273,x23272,x23274,x23275,x23276))
% 184.05/183.92 [2328]~E(x23281,x23282)+E(f482(x23283,x23284,x23281,x23285,x23286),f482(x23283,x23284,x23282,x23285,x23286))
% 184.05/183.92 [2329]~E(x23291,x23292)+E(f482(x23293,x23294,x23295,x23291,x23296),f482(x23293,x23294,x23295,x23292,x23296))
% 184.05/183.92 [2330]~E(x23301,x23302)+E(f482(x23303,x23304,x23305,x23306,x23301),f482(x23303,x23304,x23305,x23306,x23302))
% 184.05/183.92 [2331]~E(x23311,x23312)+E(f220(x23311,x23313,x23314),f220(x23312,x23313,x23314))
% 184.05/183.92 [2332]~E(x23321,x23322)+E(f220(x23323,x23321,x23324),f220(x23323,x23322,x23324))
% 184.05/183.92 [2333]~E(x23331,x23332)+E(f220(x23333,x23334,x23331),f220(x23333,x23334,x23332))
% 184.05/183.92 [2334]~E(x23341,x23342)+E(f215(x23341,x23343,x23344,x23345,x23346),f215(x23342,x23343,x23344,x23345,x23346))
% 184.05/183.92 [2335]~E(x23351,x23352)+E(f215(x23353,x23351,x23354,x23355,x23356),f215(x23353,x23352,x23354,x23355,x23356))
% 184.05/183.92 [2336]~E(x23361,x23362)+E(f215(x23363,x23364,x23361,x23365,x23366),f215(x23363,x23364,x23362,x23365,x23366))
% 184.05/183.92 [2337]~E(x23371,x23372)+E(f215(x23373,x23374,x23375,x23371,x23376),f215(x23373,x23374,x23375,x23372,x23376))
% 184.05/183.92 [2338]~E(x23381,x23382)+E(f215(x23383,x23384,x23385,x23386,x23381),f215(x23383,x23384,x23385,x23386,x23382))
% 184.05/183.92 [2339]~E(x23391,x23392)+E(f620(x23391,x23393,x23394,x23395,x23396),f620(x23392,x23393,x23394,x23395,x23396))
% 184.05/183.92 [2340]~E(x23401,x23402)+E(f620(x23403,x23401,x23404,x23405,x23406),f620(x23403,x23402,x23404,x23405,x23406))
% 184.05/183.92 [2341]~E(x23411,x23412)+E(f620(x23413,x23414,x23411,x23415,x23416),f620(x23413,x23414,x23412,x23415,x23416))
% 184.05/183.92 [2342]~E(x23421,x23422)+E(f620(x23423,x23424,x23425,x23421,x23426),f620(x23423,x23424,x23425,x23422,x23426))
% 184.05/183.92 [2343]~E(x23431,x23432)+E(f620(x23433,x23434,x23435,x23436,x23431),f620(x23433,x23434,x23435,x23436,x23432))
% 184.05/183.92 [2344]~E(x23441,x23442)+E(f783(x23441),f783(x23442))
% 184.05/183.92 [2345]~E(x23451,x23452)+E(f606(x23451,x23453,x23454),f606(x23452,x23453,x23454))
% 184.05/183.92 [2346]~E(x23461,x23462)+E(f606(x23463,x23461,x23464),f606(x23463,x23462,x23464))
% 184.05/183.92 [2347]~E(x23471,x23472)+E(f606(x23473,x23474,x23471),f606(x23473,x23474,x23472))
% 184.05/183.92 [2348]~E(x23481,x23482)+E(f152(x23481,x23483),f152(x23482,x23483))
% 184.05/183.92 [2349]~E(x23491,x23492)+E(f152(x23493,x23491),f152(x23493,x23492))
% 184.05/183.92 [2350]~E(x23501,x23502)+E(f809(x23501,x23503),f809(x23502,x23503))
% 184.05/183.92 [2351]~E(x23511,x23512)+E(f809(x23513,x23511),f809(x23513,x23512))
% 184.05/183.92 [2352]~E(x23521,x23522)+E(f566(x23521,x23523),f566(x23522,x23523))
% 184.05/183.92 [2353]~E(x23531,x23532)+E(f566(x23533,x23531),f566(x23533,x23532))
% 184.05/183.92 [2354]~E(x23541,x23542)+E(f473(x23541,x23543,x23544,x23545,x23546),f473(x23542,x23543,x23544,x23545,x23546))
% 184.05/183.92 [2355]~E(x23551,x23552)+E(f473(x23553,x23551,x23554,x23555,x23556),f473(x23553,x23552,x23554,x23555,x23556))
% 184.05/183.92 [2356]~E(x23561,x23562)+E(f473(x23563,x23564,x23561,x23565,x23566),f473(x23563,x23564,x23562,x23565,x23566))
% 184.05/183.92 [2357]~E(x23571,x23572)+E(f473(x23573,x23574,x23575,x23571,x23576),f473(x23573,x23574,x23575,x23572,x23576))
% 184.05/183.92 [2358]~E(x23581,x23582)+E(f473(x23583,x23584,x23585,x23586,x23581),f473(x23583,x23584,x23585,x23586,x23582))
% 184.05/183.92 [2359]~E(x23591,x23592)+E(f39(x23591),f39(x23592))
% 184.05/183.92 [2360]~E(x23601,x23602)+E(f799(x23601,x23603),f799(x23602,x23603))
% 184.05/183.92 [2361]~E(x23611,x23612)+E(f799(x23613,x23611),f799(x23613,x23612))
% 184.05/183.92 [2362]~E(x23621,x23622)+E(f684(x23621,x23623),f684(x23622,x23623))
% 184.05/183.92 [2363]~E(x23631,x23632)+E(f684(x23633,x23631),f684(x23633,x23632))
% 184.05/183.92 [2364]~E(x23641,x23642)+E(f515(x23641,x23643,x23644,x23645),f515(x23642,x23643,x23644,x23645))
% 184.05/183.92 [2365]~E(x23651,x23652)+E(f515(x23653,x23651,x23654,x23655),f515(x23653,x23652,x23654,x23655))
% 184.05/183.92 [2366]~E(x23661,x23662)+E(f515(x23663,x23664,x23661,x23665),f515(x23663,x23664,x23662,x23665))
% 184.05/183.92 [2367]~E(x23671,x23672)+E(f515(x23673,x23674,x23675,x23671),f515(x23673,x23674,x23675,x23672))
% 184.05/183.92 [2368]~E(x23681,x23682)+E(f512(x23681,x23683,x23684,x23685),f512(x23682,x23683,x23684,x23685))
% 184.05/183.92 [2369]~E(x23691,x23692)+E(f512(x23693,x23691,x23694,x23695),f512(x23693,x23692,x23694,x23695))
% 184.05/183.92 [2370]~E(x23701,x23702)+E(f512(x23703,x23704,x23701,x23705),f512(x23703,x23704,x23702,x23705))
% 184.05/183.92 [2371]~E(x23711,x23712)+E(f512(x23713,x23714,x23715,x23711),f512(x23713,x23714,x23715,x23712))
% 184.05/183.92 [2372]~E(x23721,x23722)+E(f800(x23721),f800(x23722))
% 184.05/183.92 [2373]~E(x23731,x23732)+E(f489(x23731,x23733,x23734,x23735),f489(x23732,x23733,x23734,x23735))
% 184.05/183.92 [2374]~E(x23741,x23742)+E(f489(x23743,x23741,x23744,x23745),f489(x23743,x23742,x23744,x23745))
% 184.05/183.92 [2375]~E(x23751,x23752)+E(f489(x23753,x23754,x23751,x23755),f489(x23753,x23754,x23752,x23755))
% 184.05/183.92 [2376]~E(x23761,x23762)+E(f489(x23763,x23764,x23765,x23761),f489(x23763,x23764,x23765,x23762))
% 184.05/183.92 [2377]~E(x23771,x23772)+E(f480(x23771,x23773,x23774,x23775,x23776),f480(x23772,x23773,x23774,x23775,x23776))
% 184.05/183.92 [2378]~E(x23781,x23782)+E(f480(x23783,x23781,x23784,x23785,x23786),f480(x23783,x23782,x23784,x23785,x23786))
% 184.05/183.92 [2379]~E(x23791,x23792)+E(f480(x23793,x23794,x23791,x23795,x23796),f480(x23793,x23794,x23792,x23795,x23796))
% 184.05/183.92 [2380]~E(x23801,x23802)+E(f480(x23803,x23804,x23805,x23801,x23806),f480(x23803,x23804,x23805,x23802,x23806))
% 184.05/183.92 [2381]~E(x23811,x23812)+E(f480(x23813,x23814,x23815,x23816,x23811),f480(x23813,x23814,x23815,x23816,x23812))
% 184.05/183.92 [2382]~E(x23821,x23822)+E(f689(x23821,x23823),f689(x23822,x23823))
% 184.05/183.92 [2383]~E(x23831,x23832)+E(f689(x23833,x23831),f689(x23833,x23832))
% 184.05/183.92 [2384]~E(x23841,x23842)+E(f499(x23841,x23843,x23844),f499(x23842,x23843,x23844))
% 184.05/183.92 [2385]~E(x23851,x23852)+E(f499(x23853,x23851,x23854),f499(x23853,x23852,x23854))
% 184.05/183.92 [2386]~E(x23861,x23862)+E(f499(x23863,x23864,x23861),f499(x23863,x23864,x23862))
% 184.05/183.92 [2387]~E(x23871,x23872)+E(f362(x23871,x23873,x23874,x23875),f362(x23872,x23873,x23874,x23875))
% 184.05/183.92 [2388]~E(x23881,x23882)+E(f362(x23883,x23881,x23884,x23885),f362(x23883,x23882,x23884,x23885))
% 184.05/183.92 [2389]~E(x23891,x23892)+E(f362(x23893,x23894,x23891,x23895),f362(x23893,x23894,x23892,x23895))
% 184.05/183.92 [2390]~E(x23901,x23902)+E(f362(x23903,x23904,x23905,x23901),f362(x23903,x23904,x23905,x23902))
% 184.05/183.92 [2391]~E(x23911,x23912)+E(f816(x23911,x23913,x23914,x23915,x23916),f816(x23912,x23913,x23914,x23915,x23916))
% 184.05/183.92 [2392]~E(x23921,x23922)+E(f816(x23923,x23921,x23924,x23925,x23926),f816(x23923,x23922,x23924,x23925,x23926))
% 184.05/183.92 [2393]~E(x23931,x23932)+E(f816(x23933,x23934,x23931,x23935,x23936),f816(x23933,x23934,x23932,x23935,x23936))
% 184.05/183.92 [2394]~E(x23941,x23942)+E(f816(x23943,x23944,x23945,x23941,x23946),f816(x23943,x23944,x23945,x23942,x23946))
% 184.05/183.92 [2395]~E(x23951,x23952)+E(f816(x23953,x23954,x23955,x23956,x23951),f816(x23953,x23954,x23955,x23956,x23952))
% 184.05/183.92 [2396]~E(x23961,x23962)+E(f257(x23961),f257(x23962))
% 184.05/183.92 [2397]~E(x23971,x23972)+E(f446(x23971,x23973,x23974,x23975,x23976),f446(x23972,x23973,x23974,x23975,x23976))
% 184.05/183.92 [2398]~E(x23981,x23982)+E(f446(x23983,x23981,x23984,x23985,x23986),f446(x23983,x23982,x23984,x23985,x23986))
% 184.05/183.92 [2399]~E(x23991,x23992)+E(f446(x23993,x23994,x23991,x23995,x23996),f446(x23993,x23994,x23992,x23995,x23996))
% 184.05/183.92 [2400]~E(x24001,x24002)+E(f446(x24003,x24004,x24005,x24001,x24006),f446(x24003,x24004,x24005,x24002,x24006))
% 184.05/183.92 [2401]~E(x24011,x24012)+E(f446(x24013,x24014,x24015,x24016,x24011),f446(x24013,x24014,x24015,x24016,x24012))
% 184.05/183.92 [2402]~E(x24021,x24022)+E(f595(x24021,x24023,x24024,x24025,x24026,x24027,x24028,x24029),f595(x24022,x24023,x24024,x24025,x24026,x24027,x24028,x24029))
% 184.05/183.92 [2403]~E(x24031,x24032)+E(f595(x24033,x24031,x24034,x24035,x24036,x24037,x24038,x24039),f595(x24033,x24032,x24034,x24035,x24036,x24037,x24038,x24039))
% 184.05/183.92 [2404]~E(x24041,x24042)+E(f595(x24043,x24044,x24041,x24045,x24046,x24047,x24048,x24049),f595(x24043,x24044,x24042,x24045,x24046,x24047,x24048,x24049))
% 184.05/183.92 [2405]~E(x24051,x24052)+E(f595(x24053,x24054,x24055,x24051,x24056,x24057,x24058,x24059),f595(x24053,x24054,x24055,x24052,x24056,x24057,x24058,x24059))
% 184.05/183.92 [2406]~E(x24061,x24062)+E(f595(x24063,x24064,x24065,x24066,x24061,x24067,x24068,x24069),f595(x24063,x24064,x24065,x24066,x24062,x24067,x24068,x24069))
% 184.05/183.92 [2407]~E(x24071,x24072)+E(f595(x24073,x24074,x24075,x24076,x24077,x24071,x24078,x24079),f595(x24073,x24074,x24075,x24076,x24077,x24072,x24078,x24079))
% 184.05/183.92 [2408]~E(x24081,x24082)+E(f595(x24083,x24084,x24085,x24086,x24087,x24088,x24081,x24089),f595(x24083,x24084,x24085,x24086,x24087,x24088,x24082,x24089))
% 184.05/183.92 [2409]~E(x24091,x24092)+E(f595(x24093,x24094,x24095,x24096,x24097,x24098,x24099,x24091),f595(x24093,x24094,x24095,x24096,x24097,x24098,x24099,x24092))
% 184.05/183.92 [2410]~E(x24101,x24102)+E(f874(x24101),f874(x24102))
% 184.05/183.92 [2411]~E(x24111,x24112)+E(f536(x24111,x24113,x24114,x24115,x24116,x24117,x24118),f536(x24112,x24113,x24114,x24115,x24116,x24117,x24118))
% 184.05/183.92 [2412]~E(x24121,x24122)+E(f536(x24123,x24121,x24124,x24125,x24126,x24127,x24128),f536(x24123,x24122,x24124,x24125,x24126,x24127,x24128))
% 184.05/183.92 [2413]~E(x24131,x24132)+E(f536(x24133,x24134,x24131,x24135,x24136,x24137,x24138),f536(x24133,x24134,x24132,x24135,x24136,x24137,x24138))
% 184.05/183.92 [2414]~E(x24141,x24142)+E(f536(x24143,x24144,x24145,x24141,x24146,x24147,x24148),f536(x24143,x24144,x24145,x24142,x24146,x24147,x24148))
% 184.05/183.92 [2415]~E(x24151,x24152)+E(f536(x24153,x24154,x24155,x24156,x24151,x24157,x24158),f536(x24153,x24154,x24155,x24156,x24152,x24157,x24158))
% 184.05/183.92 [2416]~E(x24161,x24162)+E(f536(x24163,x24164,x24165,x24166,x24167,x24161,x24168),f536(x24163,x24164,x24165,x24166,x24167,x24162,x24168))
% 184.05/183.92 [2417]~E(x24171,x24172)+E(f536(x24173,x24174,x24175,x24176,x24177,x24178,x24171),f536(x24173,x24174,x24175,x24176,x24177,x24178,x24172))
% 184.05/183.92 [2418]~E(x24181,x24182)+E(f435(x24181,x24183,x24184),f435(x24182,x24183,x24184))
% 184.05/183.92 [2419]~E(x24191,x24192)+E(f435(x24193,x24191,x24194),f435(x24193,x24192,x24194))
% 184.05/183.92 [2420]~E(x24201,x24202)+E(f435(x24203,x24204,x24201),f435(x24203,x24204,x24202))
% 184.05/183.92 [2421]~E(x24211,x24212)+E(f596(x24211,x24213,x24214),f596(x24212,x24213,x24214))
% 184.05/183.92 [2422]~E(x24221,x24222)+E(f596(x24223,x24221,x24224),f596(x24223,x24222,x24224))
% 184.05/183.92 [2423]~E(x24231,x24232)+E(f596(x24233,x24234,x24231),f596(x24233,x24234,x24232))
% 184.05/183.92 [2424]~E(x24241,x24242)+E(f117(x24241,x24243,x24244,x24245,x24246),f117(x24242,x24243,x24244,x24245,x24246))
% 184.05/183.92 [2425]~E(x24251,x24252)+E(f117(x24253,x24251,x24254,x24255,x24256),f117(x24253,x24252,x24254,x24255,x24256))
% 184.05/183.92 [2426]~E(x24261,x24262)+E(f117(x24263,x24264,x24261,x24265,x24266),f117(x24263,x24264,x24262,x24265,x24266))
% 184.05/183.92 [2427]~E(x24271,x24272)+E(f117(x24273,x24274,x24275,x24271,x24276),f117(x24273,x24274,x24275,x24272,x24276))
% 184.05/183.92 [2428]~E(x24281,x24282)+E(f117(x24283,x24284,x24285,x24286,x24281),f117(x24283,x24284,x24285,x24286,x24282))
% 184.05/183.92 [2429]~E(x24291,x24292)+E(f610(x24291,x24293,x24294,x24295,x24296),f610(x24292,x24293,x24294,x24295,x24296))
% 184.05/183.92 [2430]~E(x24301,x24302)+E(f610(x24303,x24301,x24304,x24305,x24306),f610(x24303,x24302,x24304,x24305,x24306))
% 184.05/183.92 [2431]~E(x24311,x24312)+E(f610(x24313,x24314,x24311,x24315,x24316),f610(x24313,x24314,x24312,x24315,x24316))
% 184.05/183.92 [2432]~E(x24321,x24322)+E(f610(x24323,x24324,x24325,x24321,x24326),f610(x24323,x24324,x24325,x24322,x24326))
% 184.05/183.92 [2433]~E(x24331,x24332)+E(f610(x24333,x24334,x24335,x24336,x24331),f610(x24333,x24334,x24335,x24336,x24332))
% 184.05/183.92 [2434]~E(x24341,x24342)+E(f671(x24341,x24343,x24344,x24345,x24346),f671(x24342,x24343,x24344,x24345,x24346))
% 184.05/183.92 [2435]~E(x24351,x24352)+E(f671(x24353,x24351,x24354,x24355,x24356),f671(x24353,x24352,x24354,x24355,x24356))
% 184.05/183.92 [2436]~E(x24361,x24362)+E(f671(x24363,x24364,x24361,x24365,x24366),f671(x24363,x24364,x24362,x24365,x24366))
% 184.05/183.92 [2437]~E(x24371,x24372)+E(f671(x24373,x24374,x24375,x24371,x24376),f671(x24373,x24374,x24375,x24372,x24376))
% 184.05/183.92 [2438]~E(x24381,x24382)+E(f671(x24383,x24384,x24385,x24386,x24381),f671(x24383,x24384,x24385,x24386,x24382))
% 184.05/183.92 [2439]~E(x24391,x24392)+E(f251(x24391,x24393,x24394,x24395,x24396),f251(x24392,x24393,x24394,x24395,x24396))
% 184.05/183.92 [2440]~E(x24401,x24402)+E(f251(x24403,x24401,x24404,x24405,x24406),f251(x24403,x24402,x24404,x24405,x24406))
% 184.05/183.92 [2441]~E(x24411,x24412)+E(f251(x24413,x24414,x24411,x24415,x24416),f251(x24413,x24414,x24412,x24415,x24416))
% 184.05/183.92 [2442]~E(x24421,x24422)+E(f251(x24423,x24424,x24425,x24421,x24426),f251(x24423,x24424,x24425,x24422,x24426))
% 184.05/183.92 [2443]~E(x24431,x24432)+E(f251(x24433,x24434,x24435,x24436,x24431),f251(x24433,x24434,x24435,x24436,x24432))
% 184.05/183.92 [2444]~E(x24441,x24442)+E(f323(x24441),f323(x24442))
% 184.05/183.92 [2445]~E(x24451,x24452)+E(f187(x24451,x24453,x24454,x24455),f187(x24452,x24453,x24454,x24455))
% 184.05/183.92 [2446]~E(x24461,x24462)+E(f187(x24463,x24461,x24464,x24465),f187(x24463,x24462,x24464,x24465))
% 184.05/183.92 [2447]~E(x24471,x24472)+E(f187(x24473,x24474,x24471,x24475),f187(x24473,x24474,x24472,x24475))
% 184.05/183.92 [2448]~E(x24481,x24482)+E(f187(x24483,x24484,x24485,x24481),f187(x24483,x24484,x24485,x24482))
% 184.05/183.92 [2449]~E(x24491,x24492)+E(f286(x24491,x24493,x24494),f286(x24492,x24493,x24494))
% 184.05/183.92 [2450]~E(x24501,x24502)+E(f286(x24503,x24501,x24504),f286(x24503,x24502,x24504))
% 184.05/183.92 [2451]~E(x24511,x24512)+E(f286(x24513,x24514,x24511),f286(x24513,x24514,x24512))
% 184.05/183.92 [2452]~E(x24521,x24522)+E(f824(x24521,x24523,x24524),f824(x24522,x24523,x24524))
% 184.05/183.92 [2453]~E(x24531,x24532)+E(f824(x24533,x24531,x24534),f824(x24533,x24532,x24534))
% 184.05/183.92 [2454]~E(x24541,x24542)+E(f824(x24543,x24544,x24541),f824(x24543,x24544,x24542))
% 184.05/183.92 [2455]~E(x24551,x24552)+E(f214(x24551,x24553,x24554,x24555,x24556),f214(x24552,x24553,x24554,x24555,x24556))
% 184.05/183.92 [2456]~E(x24561,x24562)+E(f214(x24563,x24561,x24564,x24565,x24566),f214(x24563,x24562,x24564,x24565,x24566))
% 184.05/183.92 [2457]~E(x24571,x24572)+E(f214(x24573,x24574,x24571,x24575,x24576),f214(x24573,x24574,x24572,x24575,x24576))
% 184.05/183.92 [2458]~E(x24581,x24582)+E(f214(x24583,x24584,x24585,x24581,x24586),f214(x24583,x24584,x24585,x24582,x24586))
% 184.05/183.92 [2459]~E(x24591,x24592)+E(f214(x24593,x24594,x24595,x24596,x24591),f214(x24593,x24594,x24595,x24596,x24592))
% 184.05/183.92 [2460]~E(x24601,x24602)+E(f541(x24601,x24603,x24604,x24605,x24606,x24607,x24608,x24609),f541(x24602,x24603,x24604,x24605,x24606,x24607,x24608,x24609))
% 184.05/183.92 [2461]~E(x24611,x24612)+E(f541(x24613,x24611,x24614,x24615,x24616,x24617,x24618,x24619),f541(x24613,x24612,x24614,x24615,x24616,x24617,x24618,x24619))
% 184.05/183.92 [2462]~E(x24621,x24622)+E(f541(x24623,x24624,x24621,x24625,x24626,x24627,x24628,x24629),f541(x24623,x24624,x24622,x24625,x24626,x24627,x24628,x24629))
% 184.05/183.92 [2463]~E(x24631,x24632)+E(f541(x24633,x24634,x24635,x24631,x24636,x24637,x24638,x24639),f541(x24633,x24634,x24635,x24632,x24636,x24637,x24638,x24639))
% 184.05/183.92 [2464]~E(x24641,x24642)+E(f541(x24643,x24644,x24645,x24646,x24641,x24647,x24648,x24649),f541(x24643,x24644,x24645,x24646,x24642,x24647,x24648,x24649))
% 184.05/183.92 [2465]~E(x24651,x24652)+E(f541(x24653,x24654,x24655,x24656,x24657,x24651,x24658,x24659),f541(x24653,x24654,x24655,x24656,x24657,x24652,x24658,x24659))
% 184.05/183.92 [2466]~E(x24661,x24662)+E(f541(x24663,x24664,x24665,x24666,x24667,x24668,x24661,x24669),f541(x24663,x24664,x24665,x24666,x24667,x24668,x24662,x24669))
% 184.05/183.92 [2467]~E(x24671,x24672)+E(f541(x24673,x24674,x24675,x24676,x24677,x24678,x24679,x24671),f541(x24673,x24674,x24675,x24676,x24677,x24678,x24679,x24672))
% 184.05/183.92 [2468]~E(x24681,x24682)+E(f432(x24681,x24683,x24684,x24685,x24686,x24687),f432(x24682,x24683,x24684,x24685,x24686,x24687))
% 184.05/183.92 [2469]~E(x24691,x24692)+E(f432(x24693,x24691,x24694,x24695,x24696,x24697),f432(x24693,x24692,x24694,x24695,x24696,x24697))
% 184.05/183.92 [2470]~E(x24701,x24702)+E(f432(x24703,x24704,x24701,x24705,x24706,x24707),f432(x24703,x24704,x24702,x24705,x24706,x24707))
% 184.05/183.92 [2471]~E(x24711,x24712)+E(f432(x24713,x24714,x24715,x24711,x24716,x24717),f432(x24713,x24714,x24715,x24712,x24716,x24717))
% 184.05/183.92 [2472]~E(x24721,x24722)+E(f432(x24723,x24724,x24725,x24726,x24721,x24727),f432(x24723,x24724,x24725,x24726,x24722,x24727))
% 184.05/183.92 [2473]~E(x24731,x24732)+E(f432(x24733,x24734,x24735,x24736,x24737,x24731),f432(x24733,x24734,x24735,x24736,x24737,x24732))
% 184.05/183.92 [2474]~E(x24741,x24742)+E(f818(x24741,x24743,x24744),f818(x24742,x24743,x24744))
% 184.05/183.92 [2475]~E(x24751,x24752)+E(f818(x24753,x24751,x24754),f818(x24753,x24752,x24754))
% 184.05/183.92 [2476]~E(x24761,x24762)+E(f818(x24763,x24764,x24761),f818(x24763,x24764,x24762))
% 184.05/183.92 [2477]~E(x24771,x24772)+E(f507(x24771,x24773,x24774,x24775),f507(x24772,x24773,x24774,x24775))
% 184.05/183.92 [2478]~E(x24781,x24782)+E(f507(x24783,x24781,x24784,x24785),f507(x24783,x24782,x24784,x24785))
% 184.05/183.92 [2479]~E(x24791,x24792)+E(f507(x24793,x24794,x24791,x24795),f507(x24793,x24794,x24792,x24795))
% 184.05/183.92 [2480]~E(x24801,x24802)+E(f507(x24803,x24804,x24805,x24801),f507(x24803,x24804,x24805,x24802))
% 184.05/183.92 [2481]~E(x24811,x24812)+E(f212(x24811,x24813,x24814),f212(x24812,x24813,x24814))
% 184.05/183.92 [2482]~E(x24821,x24822)+E(f212(x24823,x24821,x24824),f212(x24823,x24822,x24824))
% 184.05/183.92 [2483]~E(x24831,x24832)+E(f212(x24833,x24834,x24831),f212(x24833,x24834,x24832))
% 184.05/183.92 [2484]~E(x24841,x24842)+E(f597(x24841,x24843),f597(x24842,x24843))
% 184.05/183.92 [2485]~E(x24851,x24852)+E(f597(x24853,x24851),f597(x24853,x24852))
% 184.05/183.92 [2486]~E(x24861,x24862)+E(f719(x24861,x24863),f719(x24862,x24863))
% 184.05/183.92 [2487]~E(x24871,x24872)+E(f719(x24873,x24871),f719(x24873,x24872))
% 184.05/183.92 [2488]~E(x24881,x24882)+E(f880(x24881),f880(x24882))
% 184.05/183.92 [2489]~E(x24891,x24892)+E(f609(x24891,x24893,x24894),f609(x24892,x24893,x24894))
% 184.05/183.92 [2490]~E(x24901,x24902)+E(f609(x24903,x24901,x24904),f609(x24903,x24902,x24904))
% 184.05/183.92 [2491]~E(x24911,x24912)+E(f609(x24913,x24914,x24911),f609(x24913,x24914,x24912))
% 184.05/183.92 [2492]~E(x24921,x24922)+E(f681(x24921,x24923,x24924,x24925,x24926),f681(x24922,x24923,x24924,x24925,x24926))
% 184.05/183.92 [2493]~E(x24931,x24932)+E(f681(x24933,x24931,x24934,x24935,x24936),f681(x24933,x24932,x24934,x24935,x24936))
% 184.05/183.92 [2494]~E(x24941,x24942)+E(f681(x24943,x24944,x24941,x24945,x24946),f681(x24943,x24944,x24942,x24945,x24946))
% 184.05/183.92 [2495]~E(x24951,x24952)+E(f681(x24953,x24954,x24955,x24951,x24956),f681(x24953,x24954,x24955,x24952,x24956))
% 184.05/183.92 [2496]~E(x24961,x24962)+E(f681(x24963,x24964,x24965,x24966,x24961),f681(x24963,x24964,x24965,x24966,x24962))
% 184.05/183.92 [2497]~E(x24971,x24972)+E(f349(x24971,x24973,x24974,x24975),f349(x24972,x24973,x24974,x24975))
% 184.05/183.92 [2498]~E(x24981,x24982)+E(f349(x24983,x24981,x24984,x24985),f349(x24983,x24982,x24984,x24985))
% 184.05/183.92 [2499]~E(x24991,x24992)+E(f349(x24993,x24994,x24991,x24995),f349(x24993,x24994,x24992,x24995))
% 184.05/183.92 [2500]~E(x25001,x25002)+E(f349(x25003,x25004,x25005,x25001),f349(x25003,x25004,x25005,x25002))
% 184.05/183.92 [2501]~E(x25011,x25012)+E(f664(x25011,x25013,x25014,x25015),f664(x25012,x25013,x25014,x25015))
% 184.05/183.92 [2502]~E(x25021,x25022)+E(f664(x25023,x25021,x25024,x25025),f664(x25023,x25022,x25024,x25025))
% 184.05/183.92 [2503]~E(x25031,x25032)+E(f664(x25033,x25034,x25031,x25035),f664(x25033,x25034,x25032,x25035))
% 184.05/183.92 [2504]~E(x25041,x25042)+E(f664(x25043,x25044,x25045,x25041),f664(x25043,x25044,x25045,x25042))
% 184.05/183.92 [2505]~E(x25051,x25052)+E(f855(x25051,x25053,x25054),f855(x25052,x25053,x25054))
% 184.05/183.92 [2506]~E(x25061,x25062)+E(f855(x25063,x25061,x25064),f855(x25063,x25062,x25064))
% 184.05/183.92 [2507]~E(x25071,x25072)+E(f855(x25073,x25074,x25071),f855(x25073,x25074,x25072))
% 184.05/183.92 [2508]~E(x25081,x25082)+E(f601(x25081,x25083,x25084,x25085,x25086),f601(x25082,x25083,x25084,x25085,x25086))
% 184.05/183.92 [2509]~E(x25091,x25092)+E(f601(x25093,x25091,x25094,x25095,x25096),f601(x25093,x25092,x25094,x25095,x25096))
% 184.05/183.92 [2510]~E(x25101,x25102)+E(f601(x25103,x25104,x25101,x25105,x25106),f601(x25103,x25104,x25102,x25105,x25106))
% 184.05/183.92 [2511]~E(x25111,x25112)+E(f601(x25113,x25114,x25115,x25111,x25116),f601(x25113,x25114,x25115,x25112,x25116))
% 184.05/183.92 [2512]~E(x25121,x25122)+E(f601(x25123,x25124,x25125,x25126,x25121),f601(x25123,x25124,x25125,x25126,x25122))
% 184.05/183.92 [2513]~E(x25131,x25132)+E(f861(x25131,x25133,x25134),f861(x25132,x25133,x25134))
% 184.05/183.92 [2514]~E(x25141,x25142)+E(f861(x25143,x25141,x25144),f861(x25143,x25142,x25144))
% 184.05/183.92 [2515]~E(x25151,x25152)+E(f861(x25153,x25154,x25151),f861(x25153,x25154,x25152))
% 184.05/183.92 [2516]~E(x25161,x25162)+E(f341(x25161,x25163,x25164),f341(x25162,x25163,x25164))
% 184.05/183.92 [2517]~E(x25171,x25172)+E(f341(x25173,x25171,x25174),f341(x25173,x25172,x25174))
% 184.05/183.92 [2518]~E(x25181,x25182)+E(f341(x25183,x25184,x25181),f341(x25183,x25184,x25182))
% 184.05/183.92 [2519]~E(x25191,x25192)+E(f683(x25191,x25193,x25194,x25195,x25196),f683(x25192,x25193,x25194,x25195,x25196))
% 184.05/183.92 [2520]~E(x25201,x25202)+E(f683(x25203,x25201,x25204,x25205,x25206),f683(x25203,x25202,x25204,x25205,x25206))
% 184.05/183.92 [2521]~E(x25211,x25212)+E(f683(x25213,x25214,x25211,x25215,x25216),f683(x25213,x25214,x25212,x25215,x25216))
% 184.05/183.92 [2522]~E(x25221,x25222)+E(f683(x25223,x25224,x25225,x25221,x25226),f683(x25223,x25224,x25225,x25222,x25226))
% 184.05/183.92 [2523]~E(x25231,x25232)+E(f683(x25233,x25234,x25235,x25236,x25231),f683(x25233,x25234,x25235,x25236,x25232))
% 184.05/183.92 [2524]~E(x25241,x25242)+E(f834(x25241,x25243,x25244,x25245,x25246,x25247,x25248,x25249),f834(x25242,x25243,x25244,x25245,x25246,x25247,x25248,x25249))
% 184.05/183.92 [2525]~E(x25251,x25252)+E(f834(x25253,x25251,x25254,x25255,x25256,x25257,x25258,x25259),f834(x25253,x25252,x25254,x25255,x25256,x25257,x25258,x25259))
% 184.05/183.92 [2526]~E(x25261,x25262)+E(f834(x25263,x25264,x25261,x25265,x25266,x25267,x25268,x25269),f834(x25263,x25264,x25262,x25265,x25266,x25267,x25268,x25269))
% 184.05/183.92 [2527]~E(x25271,x25272)+E(f834(x25273,x25274,x25275,x25271,x25276,x25277,x25278,x25279),f834(x25273,x25274,x25275,x25272,x25276,x25277,x25278,x25279))
% 184.05/183.92 [2528]~E(x25281,x25282)+E(f834(x25283,x25284,x25285,x25286,x25281,x25287,x25288,x25289),f834(x25283,x25284,x25285,x25286,x25282,x25287,x25288,x25289))
% 184.05/183.92 [2529]~E(x25291,x25292)+E(f834(x25293,x25294,x25295,x25296,x25297,x25291,x25298,x25299),f834(x25293,x25294,x25295,x25296,x25297,x25292,x25298,x25299))
% 184.05/183.92 [2530]~E(x25301,x25302)+E(f834(x25303,x25304,x25305,x25306,x25307,x25308,x25301,x25309),f834(x25303,x25304,x25305,x25306,x25307,x25308,x25302,x25309))
% 184.05/183.92 [2531]~E(x25311,x25312)+E(f834(x25313,x25314,x25315,x25316,x25317,x25318,x25319,x25311),f834(x25313,x25314,x25315,x25316,x25317,x25318,x25319,x25312))
% 184.05/183.92 [2532]~E(x25321,x25322)+E(f745(x25321,x25323,x25324),f745(x25322,x25323,x25324))
% 184.05/183.92 [2533]~E(x25331,x25332)+E(f745(x25333,x25331,x25334),f745(x25333,x25332,x25334))
% 184.05/183.92 [2534]~E(x25341,x25342)+E(f745(x25343,x25344,x25341),f745(x25343,x25344,x25342))
% 184.05/183.92 [2535]~E(x25351,x25352)+E(f691(x25351,x25353),f691(x25352,x25353))
% 184.05/183.92 [2536]~E(x25361,x25362)+E(f691(x25363,x25361),f691(x25363,x25362))
% 184.05/183.92 [2537]~E(x25371,x25372)+E(f770(x25371,x25373),f770(x25372,x25373))
% 184.05/183.92 [2538]~E(x25381,x25382)+E(f770(x25383,x25381),f770(x25383,x25382))
% 184.05/183.92 [2539]~E(x25391,x25392)+E(f112(x25391,x25393,x25394,x25395),f112(x25392,x25393,x25394,x25395))
% 184.05/183.92 [2540]~E(x25401,x25402)+E(f112(x25403,x25401,x25404,x25405),f112(x25403,x25402,x25404,x25405))
% 184.05/183.92 [2541]~E(x25411,x25412)+E(f112(x25413,x25414,x25411,x25415),f112(x25413,x25414,x25412,x25415))
% 184.05/183.92 [2542]~E(x25421,x25422)+E(f112(x25423,x25424,x25425,x25421),f112(x25423,x25424,x25425,x25422))
% 184.05/183.92 [2543]~E(x25431,x25432)+E(f822(x25431,x25433,x25434,x25435,x25436,x25437,x25438),f822(x25432,x25433,x25434,x25435,x25436,x25437,x25438))
% 184.05/183.92 [2544]~E(x25441,x25442)+E(f822(x25443,x25441,x25444,x25445,x25446,x25447,x25448),f822(x25443,x25442,x25444,x25445,x25446,x25447,x25448))
% 184.05/183.92 [2545]~E(x25451,x25452)+E(f822(x25453,x25454,x25451,x25455,x25456,x25457,x25458),f822(x25453,x25454,x25452,x25455,x25456,x25457,x25458))
% 184.05/183.92 [2546]~E(x25461,x25462)+E(f822(x25463,x25464,x25465,x25461,x25466,x25467,x25468),f822(x25463,x25464,x25465,x25462,x25466,x25467,x25468))
% 184.05/183.92 [2547]~E(x25471,x25472)+E(f822(x25473,x25474,x25475,x25476,x25471,x25477,x25478),f822(x25473,x25474,x25475,x25476,x25472,x25477,x25478))
% 184.05/183.92 [2548]~E(x25481,x25482)+E(f822(x25483,x25484,x25485,x25486,x25487,x25481,x25488),f822(x25483,x25484,x25485,x25486,x25487,x25482,x25488))
% 184.05/183.92 [2549]~E(x25491,x25492)+E(f822(x25493,x25494,x25495,x25496,x25497,x25498,x25491),f822(x25493,x25494,x25495,x25496,x25497,x25498,x25492))
% 184.05/183.92 [2550]~E(x25501,x25502)+E(f567(x25501,x25503),f567(x25502,x25503))
% 184.05/183.92 [2551]~E(x25511,x25512)+E(f567(x25513,x25511),f567(x25513,x25512))
% 184.05/183.92 [2552]~E(x25521,x25522)+E(f462(x25521,x25523,x25524),f462(x25522,x25523,x25524))
% 184.05/183.92 [2553]~E(x25531,x25532)+E(f462(x25533,x25531,x25534),f462(x25533,x25532,x25534))
% 184.05/183.92 [2554]~E(x25541,x25542)+E(f462(x25543,x25544,x25541),f462(x25543,x25544,x25542))
% 184.05/183.92 [2555]~E(x25551,x25552)+E(f494(x25551),f494(x25552))
% 184.05/183.92 [2556]~E(x25561,x25562)+E(f268(x25561),f268(x25562))
% 184.05/183.92 [2557]~E(x25571,x25572)+E(f460(x25571,x25573,x25574),f460(x25572,x25573,x25574))
% 184.05/183.92 [2558]~E(x25581,x25582)+E(f460(x25583,x25581,x25584),f460(x25583,x25582,x25584))
% 184.05/183.92 [2559]~E(x25591,x25592)+E(f460(x25593,x25594,x25591),f460(x25593,x25594,x25592))
% 184.05/183.92 [2560]~E(x25601,x25602)+E(f227(x25601,x25603),f227(x25602,x25603))
% 184.05/183.92 [2561]~E(x25611,x25612)+E(f227(x25613,x25611),f227(x25613,x25612))
% 184.05/183.92 [2562]~E(x25621,x25622)+E(f226(x25621,x25623),f226(x25622,x25623))
% 184.05/183.92 [2563]~E(x25631,x25632)+E(f226(x25633,x25631),f226(x25633,x25632))
% 184.05/183.92 [2564]~E(x25641,x25642)+E(f869(x25641,x25643),f869(x25642,x25643))
% 184.05/183.92 [2565]~E(x25651,x25652)+E(f869(x25653,x25651),f869(x25653,x25652))
% 184.05/183.92 [2566]~E(x25661,x25662)+E(f647(x25661,x25663),f647(x25662,x25663))
% 184.05/183.92 [2567]~E(x25671,x25672)+E(f647(x25673,x25671),f647(x25673,x25672))
% 184.05/183.92 [2568]~E(x25681,x25682)+E(f381(x25681,x25683),f381(x25682,x25683))
% 184.05/183.92 [2569]~E(x25691,x25692)+E(f381(x25693,x25691),f381(x25693,x25692))
% 184.05/183.92 [2570]~E(x25701,x25702)+E(f466(x25701,x25703,x25704,x25705),f466(x25702,x25703,x25704,x25705))
% 184.05/183.92 [2571]~E(x25711,x25712)+E(f466(x25713,x25711,x25714,x25715),f466(x25713,x25712,x25714,x25715))
% 184.05/183.92 [2572]~E(x25721,x25722)+E(f466(x25723,x25724,x25721,x25725),f466(x25723,x25724,x25722,x25725))
% 184.05/183.92 [2573]~E(x25731,x25732)+E(f466(x25733,x25734,x25735,x25731),f466(x25733,x25734,x25735,x25732))
% 184.05/183.92 [2574]~E(x25741,x25742)+E(f656(x25741,x25743,x25744),f656(x25742,x25743,x25744))
% 184.05/183.92 [2575]~E(x25751,x25752)+E(f656(x25753,x25751,x25754),f656(x25753,x25752,x25754))
% 184.05/183.92 [2576]~E(x25761,x25762)+E(f656(x25763,x25764,x25761),f656(x25763,x25764,x25762))
% 184.05/183.92 [2577]~E(x25771,x25772)+E(f584(x25771,x25773,x25774),f584(x25772,x25773,x25774))
% 184.05/183.92 [2578]~E(x25781,x25782)+E(f584(x25783,x25781,x25784),f584(x25783,x25782,x25784))
% 184.05/183.92 [2579]~E(x25791,x25792)+E(f584(x25793,x25794,x25791),f584(x25793,x25794,x25792))
% 184.05/183.92 [2580]~E(x25801,x25802)+E(f186(x25801,x25803,x25804,x25805),f186(x25802,x25803,x25804,x25805))
% 184.05/183.92 [2581]~E(x25811,x25812)+E(f186(x25813,x25811,x25814,x25815),f186(x25813,x25812,x25814,x25815))
% 184.05/183.92 [2582]~E(x25821,x25822)+E(f186(x25823,x25824,x25821,x25825),f186(x25823,x25824,x25822,x25825))
% 184.05/183.92 [2583]~E(x25831,x25832)+E(f186(x25833,x25834,x25835,x25831),f186(x25833,x25834,x25835,x25832))
% 184.05/183.92 [2584]~E(x25841,x25842)+E(f750(x25841,x25843,x25844,x25845),f750(x25842,x25843,x25844,x25845))
% 184.05/183.92 [2585]~E(x25851,x25852)+E(f750(x25853,x25851,x25854,x25855),f750(x25853,x25852,x25854,x25855))
% 184.05/183.92 [2586]~E(x25861,x25862)+E(f750(x25863,x25864,x25861,x25865),f750(x25863,x25864,x25862,x25865))
% 184.05/183.92 [2587]~E(x25871,x25872)+E(f750(x25873,x25874,x25875,x25871),f750(x25873,x25874,x25875,x25872))
% 184.05/183.92 [2588]~E(x25881,x25882)+E(f353(x25881,x25883),f353(x25882,x25883))
% 184.05/183.92 [2589]~E(x25891,x25892)+E(f353(x25893,x25891),f353(x25893,x25892))
% 184.05/183.92 [2590]~E(x25901,x25902)+E(f218(x25901,x25903,x25904),f218(x25902,x25903,x25904))
% 184.05/183.92 [2591]~E(x25911,x25912)+E(f218(x25913,x25911,x25914),f218(x25913,x25912,x25914))
% 184.05/183.92 [2592]~E(x25921,x25922)+E(f218(x25923,x25924,x25921),f218(x25923,x25924,x25922))
% 184.05/183.92 [2593]~E(x25931,x25932)+E(f801(x25931,x25933),f801(x25932,x25933))
% 184.05/183.92 [2594]~E(x25941,x25942)+E(f801(x25943,x25941),f801(x25943,x25942))
% 184.05/183.92 [2595]~E(x25951,x25952)+E(f185(x25951,x25953,x25954,x25955),f185(x25952,x25953,x25954,x25955))
% 184.05/183.92 [2596]~E(x25961,x25962)+E(f185(x25963,x25961,x25964,x25965),f185(x25963,x25962,x25964,x25965))
% 184.05/183.92 [2597]~E(x25971,x25972)+E(f185(x25973,x25974,x25971,x25975),f185(x25973,x25974,x25972,x25975))
% 184.05/183.92 [2598]~E(x25981,x25982)+E(f185(x25983,x25984,x25985,x25981),f185(x25983,x25984,x25985,x25982))
% 184.05/183.92 [2599]~E(x25991,x25992)+E(f591(x25991,x25993,x25994,x25995),f591(x25992,x25993,x25994,x25995))
% 184.05/183.92 [2600]~E(x26001,x26002)+E(f591(x26003,x26001,x26004,x26005),f591(x26003,x26002,x26004,x26005))
% 184.05/183.92 [2601]~E(x26011,x26012)+E(f591(x26013,x26014,x26011,x26015),f591(x26013,x26014,x26012,x26015))
% 184.05/183.92 [2602]~E(x26021,x26022)+E(f591(x26023,x26024,x26025,x26021),f591(x26023,x26024,x26025,x26022))
% 184.05/183.92 [2603]~E(x26031,x26032)+E(f613(x26031,x26033,x26034,x26035,x26036),f613(x26032,x26033,x26034,x26035,x26036))
% 184.05/183.92 [2604]~E(x26041,x26042)+E(f613(x26043,x26041,x26044,x26045,x26046),f613(x26043,x26042,x26044,x26045,x26046))
% 184.05/183.92 [2605]~E(x26051,x26052)+E(f613(x26053,x26054,x26051,x26055,x26056),f613(x26053,x26054,x26052,x26055,x26056))
% 184.05/183.92 [2606]~E(x26061,x26062)+E(f613(x26063,x26064,x26065,x26061,x26066),f613(x26063,x26064,x26065,x26062,x26066))
% 184.05/183.92 [2607]~E(x26071,x26072)+E(f613(x26073,x26074,x26075,x26076,x26071),f613(x26073,x26074,x26075,x26076,x26072))
% 184.05/183.92 [2608]~E(x26081,x26082)+E(f475(x26081,x26083,x26084,x26085,x26086),f475(x26082,x26083,x26084,x26085,x26086))
% 184.05/183.92 [2609]~E(x26091,x26092)+E(f475(x26093,x26091,x26094,x26095,x26096),f475(x26093,x26092,x26094,x26095,x26096))
% 184.05/183.92 [2610]~E(x26101,x26102)+E(f475(x26103,x26104,x26101,x26105,x26106),f475(x26103,x26104,x26102,x26105,x26106))
% 184.05/183.92 [2611]~E(x26111,x26112)+E(f475(x26113,x26114,x26115,x26111,x26116),f475(x26113,x26114,x26115,x26112,x26116))
% 184.05/183.92 [2612]~E(x26121,x26122)+E(f475(x26123,x26124,x26125,x26126,x26121),f475(x26123,x26124,x26125,x26126,x26122))
% 184.05/183.92 [2613]~E(x26131,x26132)+E(f749(x26131,x26133,x26134),f749(x26132,x26133,x26134))
% 184.05/183.92 [2614]~E(x26141,x26142)+E(f749(x26143,x26141,x26144),f749(x26143,x26142,x26144))
% 184.05/183.92 [2615]~E(x26151,x26152)+E(f749(x26153,x26154,x26151),f749(x26153,x26154,x26152))
% 184.05/183.92 [2616]~E(x26161,x26162)+E(f542(x26161,x26163,x26164,x26165,x26166,x26167,x26168,x26169),f542(x26162,x26163,x26164,x26165,x26166,x26167,x26168,x26169))
% 184.05/183.92 [2617]~E(x26171,x26172)+E(f542(x26173,x26171,x26174,x26175,x26176,x26177,x26178,x26179),f542(x26173,x26172,x26174,x26175,x26176,x26177,x26178,x26179))
% 184.05/183.92 [2618]~E(x26181,x26182)+E(f542(x26183,x26184,x26181,x26185,x26186,x26187,x26188,x26189),f542(x26183,x26184,x26182,x26185,x26186,x26187,x26188,x26189))
% 184.05/183.92 [2619]~E(x26191,x26192)+E(f542(x26193,x26194,x26195,x26191,x26196,x26197,x26198,x26199),f542(x26193,x26194,x26195,x26192,x26196,x26197,x26198,x26199))
% 184.05/183.92 [2620]~E(x26201,x26202)+E(f542(x26203,x26204,x26205,x26206,x26201,x26207,x26208,x26209),f542(x26203,x26204,x26205,x26206,x26202,x26207,x26208,x26209))
% 184.05/183.92 [2621]~E(x26211,x26212)+E(f542(x26213,x26214,x26215,x26216,x26217,x26211,x26218,x26219),f542(x26213,x26214,x26215,x26216,x26217,x26212,x26218,x26219))
% 184.05/183.92 [2622]~E(x26221,x26222)+E(f542(x26223,x26224,x26225,x26226,x26227,x26228,x26221,x26229),f542(x26223,x26224,x26225,x26226,x26227,x26228,x26222,x26229))
% 184.05/183.92 [2623]~E(x26231,x26232)+E(f542(x26233,x26234,x26235,x26236,x26237,x26238,x26239,x26231),f542(x26233,x26234,x26235,x26236,x26237,x26238,x26239,x26232))
% 184.05/183.92 [2624]~E(x26241,x26242)+E(f872(x26241,x26243,x26244,x26245),f872(x26242,x26243,x26244,x26245))
% 184.05/183.92 [2625]~E(x26251,x26252)+E(f872(x26253,x26251,x26254,x26255),f872(x26253,x26252,x26254,x26255))
% 184.05/183.92 [2626]~E(x26261,x26262)+E(f872(x26263,x26264,x26261,x26265),f872(x26263,x26264,x26262,x26265))
% 184.05/183.92 [2627]~E(x26271,x26272)+E(f872(x26273,x26274,x26275,x26271),f872(x26273,x26274,x26275,x26272))
% 184.05/183.92 [2628]~E(x26281,x26282)+E(f261(x26281,x26283,x26284,x26285),f261(x26282,x26283,x26284,x26285))
% 184.05/183.92 [2629]~E(x26291,x26292)+E(f261(x26293,x26291,x26294,x26295),f261(x26293,x26292,x26294,x26295))
% 184.05/183.92 [2630]~E(x26301,x26302)+E(f261(x26303,x26304,x26301,x26305),f261(x26303,x26304,x26302,x26305))
% 184.05/183.92 [2631]~E(x26311,x26312)+E(f261(x26313,x26314,x26315,x26311),f261(x26313,x26314,x26315,x26312))
% 184.05/183.92 [2632]~E(x26321,x26322)+E(f472(x26321,x26323,x26324,x26325,x26326),f472(x26322,x26323,x26324,x26325,x26326))
% 184.05/183.92 [2633]~E(x26331,x26332)+E(f472(x26333,x26331,x26334,x26335,x26336),f472(x26333,x26332,x26334,x26335,x26336))
% 184.05/183.92 [2634]~E(x26341,x26342)+E(f472(x26343,x26344,x26341,x26345,x26346),f472(x26343,x26344,x26342,x26345,x26346))
% 184.05/183.92 [2635]~E(x26351,x26352)+E(f472(x26353,x26354,x26355,x26351,x26356),f472(x26353,x26354,x26355,x26352,x26356))
% 184.05/183.92 [2636]~E(x26361,x26362)+E(f472(x26363,x26364,x26365,x26366,x26361),f472(x26363,x26364,x26365,x26366,x26362))
% 184.05/183.92 [2637]~E(x26371,x26372)+E(f416(x26371,x26373,x26374,x26375,x26376),f416(x26372,x26373,x26374,x26375,x26376))
% 184.05/183.92 [2638]~E(x26381,x26382)+E(f416(x26383,x26381,x26384,x26385,x26386),f416(x26383,x26382,x26384,x26385,x26386))
% 184.05/183.92 [2639]~E(x26391,x26392)+E(f416(x26393,x26394,x26391,x26395,x26396),f416(x26393,x26394,x26392,x26395,x26396))
% 184.05/183.92 [2640]~E(x26401,x26402)+E(f416(x26403,x26404,x26405,x26401,x26406),f416(x26403,x26404,x26405,x26402,x26406))
% 184.05/183.92 [2641]~E(x26411,x26412)+E(f416(x26413,x26414,x26415,x26416,x26411),f416(x26413,x26414,x26415,x26416,x26412))
% 184.05/183.92 [2642]~E(x26421,x26422)+E(f866(x26421,x26423,x26424),f866(x26422,x26423,x26424))
% 184.05/183.92 [2643]~E(x26431,x26432)+E(f866(x26433,x26431,x26434),f866(x26433,x26432,x26434))
% 184.05/183.92 [2644]~E(x26441,x26442)+E(f866(x26443,x26444,x26441),f866(x26443,x26444,x26442))
% 184.05/183.92 [2645]~E(x26451,x26452)+E(f443(x26451,x26453,x26454),f443(x26452,x26453,x26454))
% 184.05/183.92 [2646]~E(x26461,x26462)+E(f443(x26463,x26461,x26464),f443(x26463,x26462,x26464))
% 184.05/183.92 [2647]~E(x26471,x26472)+E(f443(x26473,x26474,x26471),f443(x26473,x26474,x26472))
% 184.05/183.92 [2648]~E(x26481,x26482)+E(f470(x26481,x26483),f470(x26482,x26483))
% 184.05/183.92 [2649]~E(x26491,x26492)+E(f470(x26493,x26491),f470(x26493,x26492))
% 184.05/183.92 [2650]~E(x26501,x26502)+E(f615(x26501,x26503,x26504,x26505),f615(x26502,x26503,x26504,x26505))
% 184.05/183.92 [2651]~E(x26511,x26512)+E(f615(x26513,x26511,x26514,x26515),f615(x26513,x26512,x26514,x26515))
% 184.05/183.92 [2652]~E(x26521,x26522)+E(f615(x26523,x26524,x26521,x26525),f615(x26523,x26524,x26522,x26525))
% 184.05/183.92 [2653]~E(x26531,x26532)+E(f615(x26533,x26534,x26535,x26531),f615(x26533,x26534,x26535,x26532))
% 184.05/183.92 [2654]~E(x26541,x26542)+E(f562(x26541,x26543,x26544,x26545),f562(x26542,x26543,x26544,x26545))
% 184.05/183.92 [2655]~E(x26551,x26552)+E(f562(x26553,x26551,x26554,x26555),f562(x26553,x26552,x26554,x26555))
% 184.05/183.92 [2656]~E(x26561,x26562)+E(f562(x26563,x26564,x26561,x26565),f562(x26563,x26564,x26562,x26565))
% 184.05/183.92 [2657]~E(x26571,x26572)+E(f562(x26573,x26574,x26575,x26571),f562(x26573,x26574,x26575,x26572))
% 184.05/183.92 [2658]~E(x26581,x26582)+E(f726(x26581,x26583,x26584,x26585,x26586),f726(x26582,x26583,x26584,x26585,x26586))
% 184.05/183.92 [2659]~E(x26591,x26592)+E(f726(x26593,x26591,x26594,x26595,x26596),f726(x26593,x26592,x26594,x26595,x26596))
% 184.05/183.92 [2660]~E(x26601,x26602)+E(f726(x26603,x26604,x26601,x26605,x26606),f726(x26603,x26604,x26602,x26605,x26606))
% 184.05/183.92 [2661]~E(x26611,x26612)+E(f726(x26613,x26614,x26615,x26611,x26616),f726(x26613,x26614,x26615,x26612,x26616))
% 184.05/183.92 [2662]~E(x26621,x26622)+E(f726(x26623,x26624,x26625,x26626,x26621),f726(x26623,x26624,x26625,x26626,x26622))
% 184.05/183.92 [2663]~E(x26631,x26632)+E(f709(x26631,x26633),f709(x26632,x26633))
% 184.05/183.92 [2664]~E(x26641,x26642)+E(f709(x26643,x26641),f709(x26643,x26642))
% 184.05/183.92 [2665]~E(x26651,x26652)+E(f803(x26651),f803(x26652))
% 184.05/183.92 [2666]~E(x26661,x26662)+E(f421(x26661,x26663),f421(x26662,x26663))
% 184.05/183.92 [2667]~E(x26671,x26672)+E(f421(x26673,x26671),f421(x26673,x26672))
% 184.05/183.92 [2668]~E(x26681,x26682)+E(f802(x26681,x26683),f802(x26682,x26683))
% 184.05/183.92 [2669]~E(x26691,x26692)+E(f802(x26693,x26691),f802(x26693,x26692))
% 184.05/183.92 [2670]~E(x26701,x26702)+E(f621(x26701,x26703,x26704,x26705,x26706),f621(x26702,x26703,x26704,x26705,x26706))
% 184.05/183.92 [2671]~E(x26711,x26712)+E(f621(x26713,x26711,x26714,x26715,x26716),f621(x26713,x26712,x26714,x26715,x26716))
% 184.05/183.92 [2672]~E(x26721,x26722)+E(f621(x26723,x26724,x26721,x26725,x26726),f621(x26723,x26724,x26722,x26725,x26726))
% 184.05/183.92 [2673]~E(x26731,x26732)+E(f621(x26733,x26734,x26735,x26731,x26736),f621(x26733,x26734,x26735,x26732,x26736))
% 184.05/183.92 [2674]~E(x26741,x26742)+E(f621(x26743,x26744,x26745,x26746,x26741),f621(x26743,x26744,x26745,x26746,x26742))
% 184.05/183.92 [2675]~E(x26751,x26752)+E(f568(x26751,x26753),f568(x26752,x26753))
% 184.05/183.92 [2676]~E(x26761,x26762)+E(f568(x26763,x26761),f568(x26763,x26762))
% 184.05/183.92 [2677]~E(x26771,x26772)+E(f221(x26771,x26773,x26774,x26775),f221(x26772,x26773,x26774,x26775))
% 184.05/183.92 [2678]~E(x26781,x26782)+E(f221(x26783,x26781,x26784,x26785),f221(x26783,x26782,x26784,x26785))
% 184.05/183.92 [2679]~E(x26791,x26792)+E(f221(x26793,x26794,x26791,x26795),f221(x26793,x26794,x26792,x26795))
% 184.05/183.92 [2680]~E(x26801,x26802)+E(f221(x26803,x26804,x26805,x26801),f221(x26803,x26804,x26805,x26802))
% 184.05/183.92 [2681]~E(x26811,x26812)+E(f114(x26811),f114(x26812))
% 184.05/183.92 [2682]~E(x26821,x26822)+E(f806(x26821,x26823,x26824),f806(x26822,x26823,x26824))
% 184.05/183.92 [2683]~E(x26831,x26832)+E(f806(x26833,x26831,x26834),f806(x26833,x26832,x26834))
% 184.05/183.92 [2684]~E(x26841,x26842)+E(f806(x26843,x26844,x26841),f806(x26843,x26844,x26842))
% 184.05/183.92 [2685]~E(x26851,x26852)+E(f197(x26851,x26853,x26854,x26855,x26856,x26857,x26858),f197(x26852,x26853,x26854,x26855,x26856,x26857,x26858))
% 184.05/183.92 [2686]~E(x26861,x26862)+E(f197(x26863,x26861,x26864,x26865,x26866,x26867,x26868),f197(x26863,x26862,x26864,x26865,x26866,x26867,x26868))
% 184.05/183.92 [2687]~E(x26871,x26872)+E(f197(x26873,x26874,x26871,x26875,x26876,x26877,x26878),f197(x26873,x26874,x26872,x26875,x26876,x26877,x26878))
% 184.05/183.92 [2688]~E(x26881,x26882)+E(f197(x26883,x26884,x26885,x26881,x26886,x26887,x26888),f197(x26883,x26884,x26885,x26882,x26886,x26887,x26888))
% 184.05/183.92 [2689]~E(x26891,x26892)+E(f197(x26893,x26894,x26895,x26896,x26891,x26897,x26898),f197(x26893,x26894,x26895,x26896,x26892,x26897,x26898))
% 184.05/183.92 [2690]~E(x26901,x26902)+E(f197(x26903,x26904,x26905,x26906,x26907,x26901,x26908),f197(x26903,x26904,x26905,x26906,x26907,x26902,x26908))
% 184.05/183.92 [2691]~E(x26911,x26912)+E(f197(x26913,x26914,x26915,x26916,x26917,x26918,x26911),f197(x26913,x26914,x26915,x26916,x26917,x26918,x26912))
% 184.05/183.92 [2692]~E(x26921,x26922)+E(f479(x26921,x26923,x26924,x26925,x26926),f479(x26922,x26923,x26924,x26925,x26926))
% 184.05/183.92 [2693]~E(x26931,x26932)+E(f479(x26933,x26931,x26934,x26935,x26936),f479(x26933,x26932,x26934,x26935,x26936))
% 184.05/183.92 [2694]~E(x26941,x26942)+E(f479(x26943,x26944,x26941,x26945,x26946),f479(x26943,x26944,x26942,x26945,x26946))
% 184.05/183.92 [2695]~E(x26951,x26952)+E(f479(x26953,x26954,x26955,x26951,x26956),f479(x26953,x26954,x26955,x26952,x26956))
% 184.05/183.92 [2696]~E(x26961,x26962)+E(f479(x26963,x26964,x26965,x26966,x26961),f479(x26963,x26964,x26965,x26966,x26962))
% 184.05/183.92 [2697]~E(x26971,x26972)+E(f856(x26971,x26973,x26974,x26975),f856(x26972,x26973,x26974,x26975))
% 184.05/183.92 [2698]~E(x26981,x26982)+E(f856(x26983,x26981,x26984,x26985),f856(x26983,x26982,x26984,x26985))
% 184.05/183.92 [2699]~E(x26991,x26992)+E(f856(x26993,x26994,x26991,x26995),f856(x26993,x26994,x26992,x26995))
% 184.05/183.92 [2700]~E(x27001,x27002)+E(f856(x27003,x27004,x27005,x27001),f856(x27003,x27004,x27005,x27002))
% 184.05/183.92 [2701]~E(x27011,x27012)+E(f731(x27011,x27013),f731(x27012,x27013))
% 184.05/183.92 [2702]~E(x27021,x27022)+E(f731(x27023,x27021),f731(x27023,x27022))
% 184.05/183.92 [2703]~E(x27031,x27032)+E(f325(x27031),f325(x27032))
% 184.05/183.92 [2704]~E(x27041,x27042)+E(f877(x27041,x27043),f877(x27042,x27043))
% 184.05/183.92 [2705]~E(x27051,x27052)+E(f877(x27053,x27051),f877(x27053,x27052))
% 184.05/183.92 [2706]~E(x27061,x27062)+E(f531(x27061,x27063,x27064,x27065,x27066,x27067),f531(x27062,x27063,x27064,x27065,x27066,x27067))
% 184.05/183.92 [2707]~E(x27071,x27072)+E(f531(x27073,x27071,x27074,x27075,x27076,x27077),f531(x27073,x27072,x27074,x27075,x27076,x27077))
% 184.05/183.92 [2708]~E(x27081,x27082)+E(f531(x27083,x27084,x27081,x27085,x27086,x27087),f531(x27083,x27084,x27082,x27085,x27086,x27087))
% 184.05/183.92 [2709]~E(x27091,x27092)+E(f531(x27093,x27094,x27095,x27091,x27096,x27097),f531(x27093,x27094,x27095,x27092,x27096,x27097))
% 184.05/183.92 [2710]~E(x27101,x27102)+E(f531(x27103,x27104,x27105,x27106,x27101,x27107),f531(x27103,x27104,x27105,x27106,x27102,x27107))
% 184.05/183.92 [2711]~E(x27111,x27112)+E(f531(x27113,x27114,x27115,x27116,x27117,x27111),f531(x27113,x27114,x27115,x27116,x27117,x27112))
% 184.05/183.92 [2712]~E(x27121,x27122)+E(f859(x27121,x27123,x27124),f859(x27122,x27123,x27124))
% 184.05/183.92 [2713]~E(x27131,x27132)+E(f859(x27133,x27131,x27134),f859(x27133,x27132,x27134))
% 184.05/183.92 [2714]~E(x27141,x27142)+E(f859(x27143,x27144,x27141),f859(x27143,x27144,x27142))
% 184.05/183.92 [2715]~E(x27151,x27152)+E(f576(x27151,x27153,x27154,x27155,x27156,x27157),f576(x27152,x27153,x27154,x27155,x27156,x27157))
% 184.05/183.92 [2716]~E(x27161,x27162)+E(f576(x27163,x27161,x27164,x27165,x27166,x27167),f576(x27163,x27162,x27164,x27165,x27166,x27167))
% 184.05/183.92 [2717]~E(x27171,x27172)+E(f576(x27173,x27174,x27171,x27175,x27176,x27177),f576(x27173,x27174,x27172,x27175,x27176,x27177))
% 184.05/183.92 [2718]~E(x27181,x27182)+E(f576(x27183,x27184,x27185,x27181,x27186,x27187),f576(x27183,x27184,x27185,x27182,x27186,x27187))
% 184.05/183.92 [2719]~E(x27191,x27192)+E(f576(x27193,x27194,x27195,x27196,x27191,x27197),f576(x27193,x27194,x27195,x27196,x27192,x27197))
% 184.05/183.92 [2720]~E(x27201,x27202)+E(f576(x27203,x27204,x27205,x27206,x27207,x27201),f576(x27203,x27204,x27205,x27206,x27207,x27202))
% 184.05/183.92 [2721]~E(x27211,x27212)+E(f544(x27211,x27213),f544(x27212,x27213))
% 184.05/183.92 [2722]~E(x27221,x27222)+E(f544(x27223,x27221),f544(x27223,x27222))
% 184.05/183.92 [2723]~E(x27231,x27232)+E(f193(x27231,x27233,x27234),f193(x27232,x27233,x27234))
% 184.05/183.92 [2724]~E(x27241,x27242)+E(f193(x27243,x27241,x27244),f193(x27243,x27242,x27244))
% 184.05/183.92 [2725]~E(x27251,x27252)+E(f193(x27253,x27254,x27251),f193(x27253,x27254,x27252))
% 184.05/183.92 [2726]~E(x27261,x27262)+E(f414(x27261,x27263,x27264,x27265,x27266),f414(x27262,x27263,x27264,x27265,x27266))
% 184.05/183.92 [2727]~E(x27271,x27272)+E(f414(x27273,x27271,x27274,x27275,x27276),f414(x27273,x27272,x27274,x27275,x27276))
% 184.05/183.92 [2728]~E(x27281,x27282)+E(f414(x27283,x27284,x27281,x27285,x27286),f414(x27283,x27284,x27282,x27285,x27286))
% 184.05/183.92 [2729]~E(x27291,x27292)+E(f414(x27293,x27294,x27295,x27291,x27296),f414(x27293,x27294,x27295,x27292,x27296))
% 184.05/183.92 [2730]~E(x27301,x27302)+E(f414(x27303,x27304,x27305,x27306,x27301),f414(x27303,x27304,x27305,x27306,x27302))
% 184.05/183.92 [2731]~E(x27311,x27312)+E(f496(x27311,x27313,x27314,x27315),f496(x27312,x27313,x27314,x27315))
% 184.05/183.92 [2732]~E(x27321,x27322)+E(f496(x27323,x27321,x27324,x27325),f496(x27323,x27322,x27324,x27325))
% 184.05/183.92 [2733]~E(x27331,x27332)+E(f496(x27333,x27334,x27331,x27335),f496(x27333,x27334,x27332,x27335))
% 184.05/183.92 [2734]~E(x27341,x27342)+E(f496(x27343,x27344,x27345,x27341),f496(x27343,x27344,x27345,x27342))
% 184.05/183.92 [2735]~E(x27351,x27352)+E(f875(x27351),f875(x27352))
% 184.05/183.92 [2736]~E(x27361,x27362)+E(f321(x27361,x27363,x27364,x27365),f321(x27362,x27363,x27364,x27365))
% 184.05/183.92 [2737]~E(x27371,x27372)+E(f321(x27373,x27371,x27374,x27375),f321(x27373,x27372,x27374,x27375))
% 184.05/183.92 [2738]~E(x27381,x27382)+E(f321(x27383,x27384,x27381,x27385),f321(x27383,x27384,x27382,x27385))
% 184.05/183.92 [2739]~E(x27391,x27392)+E(f321(x27393,x27394,x27395,x27391),f321(x27393,x27394,x27395,x27392))
% 184.05/183.92 [2740]~E(x27401,x27402)+E(f546(x27401,x27403,x27404,x27405),f546(x27402,x27403,x27404,x27405))
% 184.05/183.92 [2741]~E(x27411,x27412)+E(f546(x27413,x27411,x27414,x27415),f546(x27413,x27412,x27414,x27415))
% 184.05/183.92 [2742]~E(x27421,x27422)+E(f546(x27423,x27424,x27421,x27425),f546(x27423,x27424,x27422,x27425))
% 184.05/183.92 [2743]~E(x27431,x27432)+E(f546(x27433,x27434,x27435,x27431),f546(x27433,x27434,x27435,x27432))
% 184.05/183.92 [2744]~E(x27441,x27442)+E(f190(x27441),f190(x27442))
% 184.05/183.92 [2745]~E(x27451,x27452)+E(f540(x27451,x27453,x27454,x27455),f540(x27452,x27453,x27454,x27455))
% 184.05/183.92 [2746]~E(x27461,x27462)+E(f540(x27463,x27461,x27464,x27465),f540(x27463,x27462,x27464,x27465))
% 184.05/183.92 [2747]~E(x27471,x27472)+E(f540(x27473,x27474,x27471,x27475),f540(x27473,x27474,x27472,x27475))
% 184.05/183.92 [2748]~E(x27481,x27482)+E(f540(x27483,x27484,x27485,x27481),f540(x27483,x27484,x27485,x27482))
% 184.05/183.92 [2749]~E(x27491,x27492)+E(f412(x27491,x27493,x27494),f412(x27492,x27493,x27494))
% 184.05/183.92 [2750]~E(x27501,x27502)+E(f412(x27503,x27501,x27504),f412(x27503,x27502,x27504))
% 184.05/183.92 [2751]~E(x27511,x27512)+E(f412(x27513,x27514,x27511),f412(x27513,x27514,x27512))
% 184.05/183.92 [2752]~E(x27521,x27522)+E(f624(x27521,x27523,x27524,x27525),f624(x27522,x27523,x27524,x27525))
% 184.05/183.92 [2753]~E(x27531,x27532)+E(f624(x27533,x27531,x27534,x27535),f624(x27533,x27532,x27534,x27535))
% 184.05/183.92 [2754]~E(x27541,x27542)+E(f624(x27543,x27544,x27541,x27545),f624(x27543,x27544,x27542,x27545))
% 184.05/183.92 [2755]~E(x27551,x27552)+E(f624(x27553,x27554,x27555,x27551),f624(x27553,x27554,x27555,x27552))
% 184.05/183.92 [2756]~E(x27561,x27562)+E(f791(x27561,x27563),f791(x27562,x27563))
% 184.05/183.92 [2757]~E(x27571,x27572)+E(f791(x27573,x27571),f791(x27573,x27572))
% 184.05/183.92 [2758]~E(x27581,x27582)+E(f725(x27581,x27583,x27584,x27585,x27586),f725(x27582,x27583,x27584,x27585,x27586))
% 184.05/183.92 [2759]~E(x27591,x27592)+E(f725(x27593,x27591,x27594,x27595,x27596),f725(x27593,x27592,x27594,x27595,x27596))
% 184.05/183.92 [2760]~E(x27601,x27602)+E(f725(x27603,x27604,x27601,x27605,x27606),f725(x27603,x27604,x27602,x27605,x27606))
% 184.05/183.92 [2761]~E(x27611,x27612)+E(f725(x27613,x27614,x27615,x27611,x27616),f725(x27613,x27614,x27615,x27612,x27616))
% 184.05/183.92 [2762]~E(x27621,x27622)+E(f725(x27623,x27624,x27625,x27626,x27621),f725(x27623,x27624,x27625,x27626,x27622))
% 184.05/183.92 [2763]~E(x27631,x27632)+E(f556(x27631,x27633,x27634,x27635),f556(x27632,x27633,x27634,x27635))
% 184.05/183.92 [2764]~E(x27641,x27642)+E(f556(x27643,x27641,x27644,x27645),f556(x27643,x27642,x27644,x27645))
% 184.05/183.92 [2765]~E(x27651,x27652)+E(f556(x27653,x27654,x27651,x27655),f556(x27653,x27654,x27652,x27655))
% 184.05/183.92 [2766]~E(x27661,x27662)+E(f556(x27663,x27664,x27665,x27661),f556(x27663,x27664,x27665,x27662))
% 184.05/183.92 [2767]~E(x27671,x27672)+E(f549(x27671,x27673),f549(x27672,x27673))
% 184.05/183.92 [2768]~E(x27681,x27682)+E(f549(x27683,x27681),f549(x27683,x27682))
% 184.05/183.92 [2769]~E(x27691,x27692)+E(f708(x27691,x27693),f708(x27692,x27693))
% 184.05/183.92 [2770]~E(x27701,x27702)+E(f708(x27703,x27701),f708(x27703,x27702))
% 184.05/183.92 [2771]~E(x27711,x27712)+E(f493(x27711),f493(x27712))
% 184.05/183.92 [2772]~P1(x27721)+P1(x27722)+~E(x27721,x27722)
% 184.05/183.92 [2773]~P2(x27731)+P2(x27732)+~E(x27731,x27732)
% 184.05/183.92 [2774]~P107(x27741)+P107(x27742)+~E(x27741,x27742)
% 184.05/183.92 [2775]~P65(x27751)+P65(x27752)+~E(x27751,x27752)
% 184.05/183.92 [2776]~P85(x27761)+P85(x27762)+~E(x27761,x27762)
% 184.05/183.92 [2777]~P106(x27771)+P106(x27772)+~E(x27771,x27772)
% 184.05/183.92 [2778]~P101(x27781)+P101(x27782)+~E(x27781,x27782)
% 184.05/183.92 [2779]P51(x27792,x27793)+~E(x27791,x27792)+~P51(x27791,x27793)
% 184.05/183.92 [2780]P51(x27803,x27802)+~E(x27801,x27802)+~P51(x27803,x27801)
% 184.05/183.92 [2781]~P98(x27811)+P98(x27812)+~E(x27811,x27812)
% 184.05/183.92 [2782]~P93(x27821)+P93(x27822)+~E(x27821,x27822)
% 184.05/183.92 [2783]P148(x27832,x27833,x27834)+~E(x27831,x27832)+~P148(x27831,x27833,x27834)
% 184.05/183.92 [2784]P148(x27843,x27842,x27844)+~E(x27841,x27842)+~P148(x27843,x27841,x27844)
% 184.05/183.92 [2785]P148(x27853,x27854,x27852)+~E(x27851,x27852)+~P148(x27853,x27854,x27851)
% 184.05/183.92 [2786]~P68(x27861)+P68(x27862)+~E(x27861,x27862)
% 184.05/183.92 [2787]~P108(x27871)+P108(x27872)+~E(x27871,x27872)
% 184.05/183.92 [2788]P36(x27882,x27883)+~E(x27881,x27882)+~P36(x27881,x27883)
% 184.05/183.92 [2789]P36(x27893,x27892)+~E(x27891,x27892)+~P36(x27893,x27891)
% 184.05/183.92 [2790]~P109(x27901)+P109(x27902)+~E(x27901,x27902)
% 184.05/183.92 [2791]P147(x27912,x27913,x27914)+~E(x27911,x27912)+~P147(x27911,x27913,x27914)
% 184.05/183.92 [2792]P147(x27923,x27922,x27924)+~E(x27921,x27922)+~P147(x27923,x27921,x27924)
% 184.05/183.92 [2793]P147(x27933,x27934,x27932)+~E(x27931,x27932)+~P147(x27933,x27934,x27931)
% 184.05/183.92 [2794]P13(x27942,x27943)+~E(x27941,x27942)+~P13(x27941,x27943)
% 184.05/183.92 [2795]P13(x27953,x27952)+~E(x27951,x27952)+~P13(x27953,x27951)
% 184.05/183.92 [2796]~P92(x27961)+P92(x27962)+~E(x27961,x27962)
% 184.05/183.92 [2797]~P67(x27971)+P67(x27972)+~E(x27971,x27972)
% 184.05/183.92 [2798]~P84(x27981)+P84(x27982)+~E(x27981,x27982)
% 184.05/183.92 [2799]~P66(x27991)+P66(x27992)+~E(x27991,x27992)
% 184.05/183.92 [2800]~P64(x28001)+P64(x28002)+~E(x28001,x28002)
% 184.05/183.92 [2801]~P103(x28011)+P103(x28012)+~E(x28011,x28012)
% 184.05/183.92 [2802]P149(x28022,x28023)+~E(x28021,x28022)+~P149(x28021,x28023)
% 184.05/183.92 [2803]P149(x28033,x28032)+~E(x28031,x28032)+~P149(x28033,x28031)
% 184.05/183.92 [2804]~P78(x28041)+P78(x28042)+~E(x28041,x28042)
% 184.05/183.92 [2805]~P113(x28051)+P113(x28052)+~E(x28051,x28052)
% 184.05/183.92 [2806]P24(x28062,x28063,x28064,x28065)+~E(x28061,x28062)+~P24(x28061,x28063,x28064,x28065)
% 184.05/183.92 [2807]P24(x28073,x28072,x28074,x28075)+~E(x28071,x28072)+~P24(x28073,x28071,x28074,x28075)
% 184.05/183.92 [2808]P24(x28083,x28084,x28082,x28085)+~E(x28081,x28082)+~P24(x28083,x28084,x28081,x28085)
% 184.05/183.92 [2809]P24(x28093,x28094,x28095,x28092)+~E(x28091,x28092)+~P24(x28093,x28094,x28095,x28091)
% 184.05/183.92 [2810]P37(x28102,x28103)+~E(x28101,x28102)+~P37(x28101,x28103)
% 184.05/183.92 [2811]P37(x28113,x28112)+~E(x28111,x28112)+~P37(x28113,x28111)
% 184.05/183.92 [2812]~P133(x28121)+P133(x28122)+~E(x28121,x28122)
% 184.05/183.92 [2813]~P110(x28131)+P110(x28132)+~E(x28131,x28132)
% 184.05/183.92 [2814]~P70(x28141)+P70(x28142)+~E(x28141,x28142)
% 184.05/183.92 [2815]~P97(x28151)+P97(x28152)+~E(x28151,x28152)
% 184.05/183.92 [2816]P30(x28162,x28163,x28164)+~E(x28161,x28162)+~P30(x28161,x28163,x28164)
% 184.05/183.92 [2817]P30(x28173,x28172,x28174)+~E(x28171,x28172)+~P30(x28173,x28171,x28174)
% 184.05/183.92 [2818]P30(x28183,x28184,x28182)+~E(x28181,x28182)+~P30(x28183,x28184,x28181)
% 184.05/183.92 [2819]~P82(x28191)+P82(x28192)+~E(x28191,x28192)
% 184.05/183.92 [2820]P17(x28202,x28203,x28204)+~E(x28201,x28202)+~P17(x28201,x28203,x28204)
% 184.05/183.92 [2821]P17(x28213,x28212,x28214)+~E(x28211,x28212)+~P17(x28213,x28211,x28214)
% 184.05/183.92 [2822]P17(x28223,x28224,x28222)+~E(x28221,x28222)+~P17(x28223,x28224,x28221)
% 184.05/183.92 [2823]~P75(x28231)+P75(x28232)+~E(x28231,x28232)
% 184.05/183.92 [2824]~P74(x28241)+P74(x28242)+~E(x28241,x28242)
% 184.05/183.92 [2825]~P63(x28251)+P63(x28252)+~E(x28251,x28252)
% 184.05/183.92 [2826]~P62(x28261)+P62(x28262)+~E(x28261,x28262)
% 184.05/183.92 [2827]~P69(x28271)+P69(x28272)+~E(x28271,x28272)
% 184.05/183.92 [2828]~P128(x28281)+P128(x28282)+~E(x28281,x28282)
% 184.05/183.92 [2829]P54(x28292,x28293,x28294)+~E(x28291,x28292)+~P54(x28291,x28293,x28294)
% 184.05/183.92 [2830]P54(x28303,x28302,x28304)+~E(x28301,x28302)+~P54(x28303,x28301,x28304)
% 184.05/183.92 [2831]P54(x28313,x28314,x28312)+~E(x28311,x28312)+~P54(x28313,x28314,x28311)
% 184.05/183.92 [2832]~P71(x28321)+P71(x28322)+~E(x28321,x28322)
% 184.05/183.92 [2833]~P3(x28331)+P3(x28332)+~E(x28331,x28332)
% 184.05/183.92 [2834]~P120(x28341)+P120(x28342)+~E(x28341,x28342)
% 184.05/183.92 [2835]~P72(x28351)+P72(x28352)+~E(x28351,x28352)
% 184.05/183.92 [2836]P21(x28362,x28363,x28364,x28365,x28366)+~E(x28361,x28362)+~P21(x28361,x28363,x28364,x28365,x28366)
% 184.05/183.92 [2837]P21(x28373,x28372,x28374,x28375,x28376)+~E(x28371,x28372)+~P21(x28373,x28371,x28374,x28375,x28376)
% 184.05/183.92 [2838]P21(x28383,x28384,x28382,x28385,x28386)+~E(x28381,x28382)+~P21(x28383,x28384,x28381,x28385,x28386)
% 184.05/183.92 [2839]P21(x28393,x28394,x28395,x28392,x28396)+~E(x28391,x28392)+~P21(x28393,x28394,x28395,x28391,x28396)
% 184.05/183.92 [2840]P21(x28403,x28404,x28405,x28406,x28402)+~E(x28401,x28402)+~P21(x28403,x28404,x28405,x28406,x28401)
% 184.05/183.92 [2841]~P127(x28411)+P127(x28412)+~E(x28411,x28412)
% 184.05/183.92 [2842]~P83(x28421)+P83(x28422)+~E(x28421,x28422)
% 184.05/183.92 [2843]P15(x28432,x28433)+~E(x28431,x28432)+~P15(x28431,x28433)
% 184.05/183.92 [2844]P15(x28443,x28442)+~E(x28441,x28442)+~P15(x28443,x28441)
% 184.05/183.92 [2845]~P141(x28451)+P141(x28452)+~E(x28451,x28452)
% 184.05/183.92 [2846]~P76(x28461)+P76(x28462)+~E(x28461,x28462)
% 184.05/183.92 [2847]P29(x28472,x28473,x28474)+~E(x28471,x28472)+~P29(x28471,x28473,x28474)
% 184.05/183.92 [2848]P29(x28483,x28482,x28484)+~E(x28481,x28482)+~P29(x28483,x28481,x28484)
% 184.05/183.92 [2849]P29(x28493,x28494,x28492)+~E(x28491,x28492)+~P29(x28493,x28494,x28491)
% 184.05/183.92 [2850]~P112(x28501)+P112(x28502)+~E(x28501,x28502)
% 184.05/183.92 [2851]P33(x28512,x28513,x28514,x28515,x28516)+~E(x28511,x28512)+~P33(x28511,x28513,x28514,x28515,x28516)
% 184.05/183.92 [2852]P33(x28523,x28522,x28524,x28525,x28526)+~E(x28521,x28522)+~P33(x28523,x28521,x28524,x28525,x28526)
% 184.05/183.92 [2853]P33(x28533,x28534,x28532,x28535,x28536)+~E(x28531,x28532)+~P33(x28533,x28534,x28531,x28535,x28536)
% 184.05/183.92 [2854]P33(x28543,x28544,x28545,x28542,x28546)+~E(x28541,x28542)+~P33(x28543,x28544,x28545,x28541,x28546)
% 184.05/183.92 [2855]P33(x28553,x28554,x28555,x28556,x28552)+~E(x28551,x28552)+~P33(x28553,x28554,x28555,x28556,x28551)
% 184.05/183.92 [2856]~P111(x28561)+P111(x28562)+~E(x28561,x28562)
% 184.05/183.92 [2857]~P79(x28571)+P79(x28572)+~E(x28571,x28572)
% 184.05/183.92 [2858]P57(x28582,x28583)+~E(x28581,x28582)+~P57(x28581,x28583)
% 184.05/183.92 [2859]P57(x28593,x28592)+~E(x28591,x28592)+~P57(x28593,x28591)
% 184.05/183.92 [2860]P25(x28602,x28603,x28604,x28605,x28606)+~E(x28601,x28602)+~P25(x28601,x28603,x28604,x28605,x28606)
% 184.05/183.92 [2861]P25(x28613,x28612,x28614,x28615,x28616)+~E(x28611,x28612)+~P25(x28613,x28611,x28614,x28615,x28616)
% 184.05/183.92 [2862]P25(x28623,x28624,x28622,x28625,x28626)+~E(x28621,x28622)+~P25(x28623,x28624,x28621,x28625,x28626)
% 184.05/183.92 [2863]P25(x28633,x28634,x28635,x28632,x28636)+~E(x28631,x28632)+~P25(x28633,x28634,x28635,x28631,x28636)
% 184.05/183.92 [2864]P25(x28643,x28644,x28645,x28646,x28642)+~E(x28641,x28642)+~P25(x28643,x28644,x28645,x28646,x28641)
% 184.05/183.92 [2865]~P80(x28651)+P80(x28652)+~E(x28651,x28652)
% 184.05/183.92 [2866]~P5(x28661)+P5(x28662)+~E(x28661,x28662)
% 184.05/183.92 [2867]P23(x28672,x28673,x28674,x28675,x28676,x28677)+~E(x28671,x28672)+~P23(x28671,x28673,x28674,x28675,x28676,x28677)
% 184.05/183.92 [2868]P23(x28683,x28682,x28684,x28685,x28686,x28687)+~E(x28681,x28682)+~P23(x28683,x28681,x28684,x28685,x28686,x28687)
% 184.05/183.92 [2869]P23(x28693,x28694,x28692,x28695,x28696,x28697)+~E(x28691,x28692)+~P23(x28693,x28694,x28691,x28695,x28696,x28697)
% 184.05/183.92 [2870]P23(x28703,x28704,x28705,x28702,x28706,x28707)+~E(x28701,x28702)+~P23(x28703,x28704,x28705,x28701,x28706,x28707)
% 184.05/183.92 [2871]P23(x28713,x28714,x28715,x28716,x28712,x28717)+~E(x28711,x28712)+~P23(x28713,x28714,x28715,x28716,x28711,x28717)
% 184.05/183.92 [2872]P23(x28723,x28724,x28725,x28726,x28727,x28722)+~E(x28721,x28722)+~P23(x28723,x28724,x28725,x28726,x28727,x28721)
% 184.05/183.92 [2873]~P117(x28731)+P117(x28732)+~E(x28731,x28732)
% 184.05/183.92 [2874]~P61(x28741)+P61(x28742)+~E(x28741,x28742)
% 184.05/183.92 [2875]~P124(x28751)+P124(x28752)+~E(x28751,x28752)
% 184.05/183.92 [2876]P55(x28762,x28763,x28764)+~E(x28761,x28762)+~P55(x28761,x28763,x28764)
% 184.05/183.92 [2877]P55(x28773,x28772,x28774)+~E(x28771,x28772)+~P55(x28773,x28771,x28774)
% 184.05/183.92 [2878]P55(x28783,x28784,x28782)+~E(x28781,x28782)+~P55(x28783,x28784,x28781)
% 184.05/183.92 [2879]~P114(x28791)+P114(x28792)+~E(x28791,x28792)
% 184.05/183.92 [2880]P7(x28802,x28803)+~E(x28801,x28802)+~P7(x28801,x28803)
% 184.05/183.92 [2881]P7(x28813,x28812)+~E(x28811,x28812)+~P7(x28813,x28811)
% 184.05/183.92 [2882]~P95(x28821)+P95(x28822)+~E(x28821,x28822)
% 184.05/183.92 [2883]~P139(x28831)+P139(x28832)+~E(x28831,x28832)
% 184.05/183.92 [2884]P41(x28842,x28843,x28844,x28845,x28846,x28847)+~E(x28841,x28842)+~P41(x28841,x28843,x28844,x28845,x28846,x28847)
% 184.05/183.92 [2885]P41(x28853,x28852,x28854,x28855,x28856,x28857)+~E(x28851,x28852)+~P41(x28853,x28851,x28854,x28855,x28856,x28857)
% 184.05/183.92 [2886]P41(x28863,x28864,x28862,x28865,x28866,x28867)+~E(x28861,x28862)+~P41(x28863,x28864,x28861,x28865,x28866,x28867)
% 184.05/183.92 [2887]P41(x28873,x28874,x28875,x28872,x28876,x28877)+~E(x28871,x28872)+~P41(x28873,x28874,x28875,x28871,x28876,x28877)
% 184.05/183.92 [2888]P41(x28883,x28884,x28885,x28886,x28882,x28887)+~E(x28881,x28882)+~P41(x28883,x28884,x28885,x28886,x28881,x28887)
% 184.05/183.92 [2889]P41(x28893,x28894,x28895,x28896,x28897,x28892)+~E(x28891,x28892)+~P41(x28893,x28894,x28895,x28896,x28897,x28891)
% 184.05/183.92 [2890]~P144(x28901)+P144(x28902)+~E(x28901,x28902)
% 184.05/183.92 [2891]P27(x28912,x28913)+~E(x28911,x28912)+~P27(x28911,x28913)
% 184.05/183.92 [2892]P27(x28923,x28922)+~E(x28921,x28922)+~P27(x28923,x28921)
% 184.05/183.92 [2893]P38(x28932,x28933)+~E(x28931,x28932)+~P38(x28931,x28933)
% 184.05/183.92 [2894]P38(x28943,x28942)+~E(x28941,x28942)+~P38(x28943,x28941)
% 184.05/183.92 [2895]P16(x28952,x28953,x28954)+~E(x28951,x28952)+~P16(x28951,x28953,x28954)
% 184.05/183.92 [2896]P16(x28963,x28962,x28964)+~E(x28961,x28962)+~P16(x28963,x28961,x28964)
% 184.05/183.92 [2897]P16(x28973,x28974,x28972)+~E(x28971,x28972)+~P16(x28973,x28974,x28971)
% 184.05/183.92 [2898]~P143(x28981)+P143(x28982)+~E(x28981,x28982)
% 184.05/183.92 [2899]~P6(x28991)+P6(x28992)+~E(x28991,x28992)
% 184.05/183.92 [2900]~P129(x29001)+P129(x29002)+~E(x29001,x29002)
% 184.05/183.92 [2901]~P86(x29011)+P86(x29012)+~E(x29011,x29012)
% 184.05/183.92 [2902]P8(x29022,x29023,x29024)+~E(x29021,x29022)+~P8(x29021,x29023,x29024)
% 184.05/183.92 [2903]P8(x29033,x29032,x29034)+~E(x29031,x29032)+~P8(x29033,x29031,x29034)
% 184.05/183.92 [2904]P8(x29043,x29044,x29042)+~E(x29041,x29042)+~P8(x29043,x29044,x29041)
% 184.05/183.92 [2905]~P87(x29051)+P87(x29052)+~E(x29051,x29052)
% 184.05/183.92 [2906]~P81(x29061)+P81(x29062)+~E(x29061,x29062)
% 184.05/183.92 [2907]P49(x29072,x29073)+~E(x29071,x29072)+~P49(x29071,x29073)
% 184.05/183.92 [2908]P49(x29083,x29082)+~E(x29081,x29082)+~P49(x29083,x29081)
% 184.05/183.92 [2909]P42(x29092,x29093)+~E(x29091,x29092)+~P42(x29091,x29093)
% 184.05/183.92 [2910]P42(x29103,x29102)+~E(x29101,x29102)+~P42(x29103,x29101)
% 184.05/183.92 [2911]~P39(x29111)+P39(x29112)+~E(x29111,x29112)
% 184.05/183.92 [2912]~P132(x29121)+P132(x29122)+~E(x29121,x29122)
% 184.05/183.92 [2913]~P102(x29131)+P102(x29132)+~E(x29131,x29132)
% 184.05/183.92 [2914]P50(x29142,x29143)+~E(x29141,x29142)+~P50(x29141,x29143)
% 184.05/183.92 [2915]P50(x29153,x29152)+~E(x29151,x29152)+~P50(x29153,x29151)
% 184.05/183.92 [2916]~P140(x29161)+P140(x29162)+~E(x29161,x29162)
% 184.05/183.92 [2917]~P134(x29171)+P134(x29172)+~E(x29171,x29172)
% 184.05/183.92 [2918]P14(x29182,x29183,x29184)+~E(x29181,x29182)+~P14(x29181,x29183,x29184)
% 184.05/183.92 [2919]P14(x29193,x29192,x29194)+~E(x29191,x29192)+~P14(x29193,x29191,x29194)
% 184.05/183.92 [2920]P14(x29203,x29204,x29202)+~E(x29201,x29202)+~P14(x29203,x29204,x29201)
% 184.05/183.92 [2921]~P96(x29211)+P96(x29212)+~E(x29211,x29212)
% 184.05/183.92 [2922]P32(x29222,x29223,x29224)+~E(x29221,x29222)+~P32(x29221,x29223,x29224)
% 184.05/183.92 [2923]P32(x29233,x29232,x29234)+~E(x29231,x29232)+~P32(x29233,x29231,x29234)
% 184.05/183.92 [2924]P32(x29243,x29244,x29242)+~E(x29241,x29242)+~P32(x29243,x29244,x29241)
% 184.05/183.92 [2925]P47(x29252,x29253,x29254)+~E(x29251,x29252)+~P47(x29251,x29253,x29254)
% 184.05/183.92 [2926]P47(x29263,x29262,x29264)+~E(x29261,x29262)+~P47(x29263,x29261,x29264)
% 184.05/183.92 [2927]P47(x29273,x29274,x29272)+~E(x29271,x29272)+~P47(x29273,x29274,x29271)
% 184.05/183.92 [2928]P46(x29282,x29283,x29284)+~E(x29281,x29282)+~P46(x29281,x29283,x29284)
% 184.05/183.92 [2929]P46(x29293,x29292,x29294)+~E(x29291,x29292)+~P46(x29293,x29291,x29294)
% 184.05/183.92 [2930]P46(x29303,x29304,x29302)+~E(x29301,x29302)+~P46(x29303,x29304,x29301)
% 184.05/183.92 [2931]~P135(x29311)+P135(x29312)+~E(x29311,x29312)
% 184.05/183.92 [2932]P18(x29322,x29323,x29324)+~E(x29321,x29322)+~P18(x29321,x29323,x29324)
% 184.05/183.92 [2933]P18(x29333,x29332,x29334)+~E(x29331,x29332)+~P18(x29333,x29331,x29334)
% 184.05/183.92 [2934]P18(x29343,x29344,x29342)+~E(x29341,x29342)+~P18(x29343,x29344,x29341)
% 184.05/183.92 [2935]P43(x29352,x29353)+~E(x29351,x29352)+~P43(x29351,x29353)
% 184.05/183.92 [2936]P43(x29363,x29362)+~E(x29361,x29362)+~P43(x29363,x29361)
% 184.05/183.92 [2937]~P4(x29371)+P4(x29372)+~E(x29371,x29372)
% 184.05/183.92 [2938]P59(x29382,x29383)+~E(x29381,x29382)+~P59(x29381,x29383)
% 184.05/183.92 [2939]P59(x29393,x29392)+~E(x29391,x29392)+~P59(x29393,x29391)
% 184.05/183.92 [2940]~P145(x29401)+P145(x29402)+~E(x29401,x29402)
% 184.05/183.92 [2941]~P91(x29411)+P91(x29412)+~E(x29411,x29412)
% 184.05/183.92 [2942]P31(x29422,x29423,x29424,x29425)+~E(x29421,x29422)+~P31(x29421,x29423,x29424,x29425)
% 184.05/183.92 [2943]P31(x29433,x29432,x29434,x29435)+~E(x29431,x29432)+~P31(x29433,x29431,x29434,x29435)
% 184.05/183.92 [2944]P31(x29443,x29444,x29442,x29445)+~E(x29441,x29442)+~P31(x29443,x29444,x29441,x29445)
% 184.05/183.92 [2945]P31(x29453,x29454,x29455,x29452)+~E(x29451,x29452)+~P31(x29453,x29454,x29455,x29451)
% 184.05/183.92 [2946]~P137(x29461)+P137(x29462)+~E(x29461,x29462)
% 184.05/183.92 [2947]~P119(x29471)+P119(x29472)+~E(x29471,x29472)
% 184.05/183.92 [2948]~P60(x29481)+P60(x29482)+~E(x29481,x29482)
% 184.05/183.92 [2949]~P136(x29491)+P136(x29492)+~E(x29491,x29492)
% 184.05/183.92 [2950]P34(x29502,x29503,x29504)+~E(x29501,x29502)+~P34(x29501,x29503,x29504)
% 184.05/183.92 [2951]P34(x29513,x29512,x29514)+~E(x29511,x29512)+~P34(x29513,x29511,x29514)
% 184.05/183.92 [2952]P34(x29523,x29524,x29522)+~E(x29521,x29522)+~P34(x29523,x29524,x29521)
% 184.05/183.92 [2953]P20(x29532,x29533,x29534,x29535)+~E(x29531,x29532)+~P20(x29531,x29533,x29534,x29535)
% 184.05/183.92 [2954]P20(x29543,x29542,x29544,x29545)+~E(x29541,x29542)+~P20(x29543,x29541,x29544,x29545)
% 184.05/183.92 [2955]P20(x29553,x29554,x29552,x29555)+~E(x29551,x29552)+~P20(x29553,x29554,x29551,x29555)
% 184.05/183.92 [2956]P20(x29563,x29564,x29565,x29562)+~E(x29561,x29562)+~P20(x29563,x29564,x29565,x29561)
% 184.05/183.92 [2957]~P121(x29571)+P121(x29572)+~E(x29571,x29572)
% 184.05/183.92 [2958]~P104(x29581)+P104(x29582)+~E(x29581,x29582)
% 184.05/183.92 [2959]~P94(x29591)+P94(x29592)+~E(x29591,x29592)
% 184.05/183.92 [2960]P26(x29602,x29603)+~E(x29601,x29602)+~P26(x29601,x29603)
% 184.05/183.92 [2961]P26(x29613,x29612)+~E(x29611,x29612)+~P26(x29613,x29611)
% 184.05/183.92 [2962]P52(x29622,x29623,x29624)+~E(x29621,x29622)+~P52(x29621,x29623,x29624)
% 184.05/183.92 [2963]P52(x29633,x29632,x29634)+~E(x29631,x29632)+~P52(x29633,x29631,x29634)
% 184.05/183.92 [2964]P52(x29643,x29644,x29642)+~E(x29641,x29642)+~P52(x29643,x29644,x29641)
% 184.05/183.92 [2965]~P88(x29651)+P88(x29652)+~E(x29651,x29652)
% 184.05/183.92 [2966]~P130(x29661)+P130(x29662)+~E(x29661,x29662)
% 184.05/183.92 [2967]P28(x29672,x29673,x29674)+~E(x29671,x29672)+~P28(x29671,x29673,x29674)
% 184.05/183.92 [2968]P28(x29683,x29682,x29684)+~E(x29681,x29682)+~P28(x29683,x29681,x29684)
% 184.05/183.92 [2969]P28(x29693,x29694,x29692)+~E(x29691,x29692)+~P28(x29693,x29694,x29691)
% 184.05/183.92 [2970]P22(x29702,x29703,x29704,x29705,x29706,x29707)+~E(x29701,x29702)+~P22(x29701,x29703,x29704,x29705,x29706,x29707)
% 184.05/183.92 [2971]P22(x29713,x29712,x29714,x29715,x29716,x29717)+~E(x29711,x29712)+~P22(x29713,x29711,x29714,x29715,x29716,x29717)
% 184.05/183.92 [2972]P22(x29723,x29724,x29722,x29725,x29726,x29727)+~E(x29721,x29722)+~P22(x29723,x29724,x29721,x29725,x29726,x29727)
% 184.05/183.92 [2973]P22(x29733,x29734,x29735,x29732,x29736,x29737)+~E(x29731,x29732)+~P22(x29733,x29734,x29735,x29731,x29736,x29737)
% 184.05/183.92 [2974]P22(x29743,x29744,x29745,x29746,x29742,x29747)+~E(x29741,x29742)+~P22(x29743,x29744,x29745,x29746,x29741,x29747)
% 184.05/183.92 [2975]P22(x29753,x29754,x29755,x29756,x29757,x29752)+~E(x29751,x29752)+~P22(x29753,x29754,x29755,x29756,x29757,x29751)
% 184.05/183.92 [2976]~P131(x29761)+P131(x29762)+~E(x29761,x29762)
% 184.05/183.92 [2977]P19(x29772,x29773,x29774,x29775)+~E(x29771,x29772)+~P19(x29771,x29773,x29774,x29775)
% 184.05/183.92 [2978]P19(x29783,x29782,x29784,x29785)+~E(x29781,x29782)+~P19(x29783,x29781,x29784,x29785)
% 184.05/183.92 [2979]P19(x29793,x29794,x29792,x29795)+~E(x29791,x29792)+~P19(x29793,x29794,x29791,x29795)
% 184.05/183.92 [2980]P19(x29803,x29804,x29805,x29802)+~E(x29801,x29802)+~P19(x29803,x29804,x29805,x29801)
% 184.05/183.92 [2981]~P118(x29811)+P118(x29812)+~E(x29811,x29812)
% 184.05/183.92 [2982]P11(x29822,x29823,x29824,x29825)+~E(x29821,x29822)+~P11(x29821,x29823,x29824,x29825)
% 184.05/183.92 [2983]P11(x29833,x29832,x29834,x29835)+~E(x29831,x29832)+~P11(x29833,x29831,x29834,x29835)
% 184.05/183.92 [2984]P11(x29843,x29844,x29842,x29845)+~E(x29841,x29842)+~P11(x29843,x29844,x29841,x29845)
% 184.05/183.92 [2985]P11(x29853,x29854,x29855,x29852)+~E(x29851,x29852)+~P11(x29853,x29854,x29855,x29851)
% 184.05/183.92 [2986]P12(x29862,x29863,x29864,x29865,x29866,x29867)+~E(x29861,x29862)+~P12(x29861,x29863,x29864,x29865,x29866,x29867)
% 184.05/183.92 [2987]P12(x29873,x29872,x29874,x29875,x29876,x29877)+~E(x29871,x29872)+~P12(x29873,x29871,x29874,x29875,x29876,x29877)
% 184.05/183.92 [2988]P12(x29883,x29884,x29882,x29885,x29886,x29887)+~E(x29881,x29882)+~P12(x29883,x29884,x29881,x29885,x29886,x29887)
% 184.05/183.92 [2989]P12(x29893,x29894,x29895,x29892,x29896,x29897)+~E(x29891,x29892)+~P12(x29893,x29894,x29895,x29891,x29896,x29897)
% 184.05/183.92 [2990]P12(x29903,x29904,x29905,x29906,x29902,x29907)+~E(x29901,x29902)+~P12(x29903,x29904,x29905,x29906,x29901,x29907)
% 184.05/183.92 [2991]P12(x29913,x29914,x29915,x29916,x29917,x29912)+~E(x29911,x29912)+~P12(x29913,x29914,x29915,x29916,x29917,x29911)
% 184.05/183.92 [2992]~P99(x29921)+P99(x29922)+~E(x29921,x29922)
% 184.05/183.92 [2993]~P142(x29931)+P142(x29932)+~E(x29931,x29932)
% 184.05/183.92 [2994]~P146(x29941)+P146(x29942)+~E(x29941,x29942)
% 184.05/183.92 [2995]~P123(x29951)+P123(x29952)+~E(x29951,x29952)
% 184.05/183.92 [2996]~P122(x29961)+P122(x29962)+~E(x29961,x29962)
% 184.05/183.92 [2997]P56(x29972,x29973,x29974,x29975,x29976)+~E(x29971,x29972)+~P56(x29971,x29973,x29974,x29975,x29976)
% 184.05/183.92 [2998]P56(x29983,x29982,x29984,x29985,x29986)+~E(x29981,x29982)+~P56(x29983,x29981,x29984,x29985,x29986)
% 184.05/183.92 [2999]P56(x29993,x29994,x29992,x29995,x29996)+~E(x29991,x29992)+~P56(x29993,x29994,x29991,x29995,x29996)
% 184.05/183.92 [3000]P56(x30003,x30004,x30005,x30002,x30006)+~E(x30001,x30002)+~P56(x30003,x30004,x30005,x30001,x30006)
% 184.05/183.92 [3001]P56(x30013,x30014,x30015,x30016,x30012)+~E(x30011,x30012)+~P56(x30013,x30014,x30015,x30016,x30011)
% 184.05/183.92 [3002]P58(x30022,x30023,x30024,x30025)+~E(x30021,x30022)+~P58(x30021,x30023,x30024,x30025)
% 184.05/183.92 [3003]P58(x30033,x30032,x30034,x30035)+~E(x30031,x30032)+~P58(x30033,x30031,x30034,x30035)
% 184.05/183.92 [3004]P58(x30043,x30044,x30042,x30045)+~E(x30041,x30042)+~P58(x30043,x30044,x30041,x30045)
% 184.05/183.92 [3005]P58(x30053,x30054,x30055,x30052)+~E(x30051,x30052)+~P58(x30053,x30054,x30055,x30051)
% 184.05/183.92 [3006]~P115(x30061)+P115(x30062)+~E(x30061,x30062)
% 184.05/183.92 [3007]~P89(x30071)+P89(x30072)+~E(x30071,x30072)
% 184.05/183.92 [3008]~P138(x30081)+P138(x30082)+~E(x30081,x30082)
% 184.05/183.92 [3009]~P100(x30091)+P100(x30092)+~E(x30091,x30092)
% 184.05/183.92 [3010]P53(x30102,x30103)+~E(x30101,x30102)+~P53(x30101,x30103)
% 184.05/183.92 [3011]P53(x30113,x30112)+~E(x30111,x30112)+~P53(x30113,x30111)
% 184.05/183.92 [3012]~P150(x30121)+P150(x30122)+~E(x30121,x30122)
% 184.05/183.92 [3013]P48(x30132,x30133,x30134,x30135)+~E(x30131,x30132)+~P48(x30131,x30133,x30134,x30135)
% 184.05/183.92 [3014]P48(x30143,x30142,x30144,x30145)+~E(x30141,x30142)+~P48(x30143,x30141,x30144,x30145)
% 184.05/183.92 [3015]P48(x30153,x30154,x30152,x30155)+~E(x30151,x30152)+~P48(x30153,x30154,x30151,x30155)
% 184.05/183.92 [3016]P48(x30163,x30164,x30165,x30162)+~E(x30161,x30162)+~P48(x30163,x30164,x30165,x30161)
% 184.05/183.92 [3017]~P125(x30171)+P125(x30172)+~E(x30171,x30172)
% 184.05/183.92 [3018]P10(x30182,x30183,x30184,x30185,x30186)+~E(x30181,x30182)+~P10(x30181,x30183,x30184,x30185,x30186)
% 184.05/183.92 [3019]P10(x30193,x30192,x30194,x30195,x30196)+~E(x30191,x30192)+~P10(x30193,x30191,x30194,x30195,x30196)
% 184.05/183.92 [3020]P10(x30203,x30204,x30202,x30205,x30206)+~E(x30201,x30202)+~P10(x30203,x30204,x30201,x30205,x30206)
% 184.05/183.92 [3021]P10(x30213,x30214,x30215,x30212,x30216)+~E(x30211,x30212)+~P10(x30213,x30214,x30215,x30211,x30216)
% 184.05/183.92 [3022]P10(x30223,x30224,x30225,x30226,x30222)+~E(x30221,x30222)+~P10(x30223,x30224,x30225,x30226,x30221)
% 184.05/183.92 [3023]~P105(x30231)+P105(x30232)+~E(x30231,x30232)
% 184.05/183.92 [3024]~P116(x30241)+P116(x30242)+~E(x30241,x30242)
% 184.05/183.92 [3025]~P77(x30251)+P77(x30252)+~E(x30251,x30252)
% 184.05/183.92 [3026]~P44(x30261)+P44(x30262)+~E(x30261,x30262)
% 184.05/183.92 [3027]P9(x30272,x30273,x30274)+~E(x30271,x30272)+~P9(x30271,x30273,x30274)
% 184.05/183.92 [3028]P9(x30283,x30282,x30284)+~E(x30281,x30282)+~P9(x30283,x30281,x30284)
% 184.05/183.92 [3029]P9(x30293,x30294,x30292)+~E(x30291,x30292)+~P9(x30293,x30294,x30291)
% 184.05/183.92 [3030]~P126(x30301)+P126(x30302)+~E(x30301,x30302)
% 184.05/183.92 [3031]~P73(x30311)+P73(x30312)+~E(x30311,x30312)
% 184.05/183.92 [3032]~P90(x30321)+P90(x30322)+~E(x30321,x30322)
% 184.05/183.92 [3033]P40(x30332,x30333,x30334,x30335)+~E(x30331,x30332)+~P40(x30331,x30333,x30334,x30335)
% 184.05/183.92 [3034]P40(x30343,x30342,x30344,x30345)+~E(x30341,x30342)+~P40(x30343,x30341,x30344,x30345)
% 184.05/183.92 [3035]P40(x30353,x30354,x30352,x30355)+~E(x30351,x30352)+~P40(x30353,x30354,x30351,x30355)
% 184.05/183.92 [3036]P40(x30363,x30364,x30365,x30362)+~E(x30361,x30362)+~P40(x30363,x30364,x30365,x30361)
% 184.05/183.92 [3037]~P35(x30371)+P35(x30372)+~E(x30371,x30372)
% 184.05/183.92 [3038]P45(x30382,x30383)+~E(x30381,x30382)+~P45(x30381,x30383)
% 184.05/183.92 [3039]P45(x30393,x30392)+~E(x30391,x30392)+~P45(x30393,x30391)
% 184.05/183.92
% 184.05/183.92 %-------------------------------------------
% 184.05/183.98 cnf(10401,plain,
% 184.05/183.98 (~E(f317(a102,x104011),x104011)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10411,plain,
% 184.05/183.98 (~E(f317(a102,x104111),x104111)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10424,plain,
% 184.05/183.98 (~E(f317(a102,x104241),x104241)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10429,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x104291),f103(x104291)),x104292))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10432,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x104321),f103(x104321)),x104322))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10435,plain,
% 184.05/183.98 (~E(f317(a102,x104351),x104351)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10438,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x104381),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10441,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x104411),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10458,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,x104581)),x104581))),
% 184.05/183.98 inference(rename_variables,[],[4617])).
% 184.05/183.98 cnf(10461,plain,
% 184.05/183.98 (~E(f317(f317(f141(x104611),x104612),x104613),x104613)),
% 184.05/183.98 inference(rename_variables,[],[4589])).
% 184.05/183.98 cnf(10467,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x104671),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10470,plain,
% 184.05/183.98 (E(f317(f274(x104701,x104701),f253(x104701,x104702)),x104702)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(10473,plain,
% 184.05/183.98 (E(f317(f274(x104731,x104731),f253(x104731,x104732)),x104732)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(10478,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x104781),x104781))),
% 184.05/183.98 inference(rename_variables,[],[4609])).
% 184.05/183.98 cnf(10483,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x104831),x104832)),x104832))),
% 184.05/183.98 inference(rename_variables,[],[4631])).
% 184.05/183.98 cnf(10486,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x104861),x104862)),x104862))),
% 184.05/183.98 inference(rename_variables,[],[4631])).
% 184.05/183.98 cnf(10507,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x105071),x105071))),
% 184.05/183.98 inference(rename_variables,[],[4609])).
% 184.05/183.98 cnf(10510,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),f40(a899,x105101,x105102)),x105101))),
% 184.05/183.98 inference(rename_variables,[],[3884])).
% 184.05/183.98 cnf(10531,plain,
% 184.05/183.98 (E(f317(f29(a899),f317(f272(a899),x105311)),x105311)),
% 184.05/183.98 inference(rename_variables,[],[3330])).
% 184.05/183.98 cnf(10539,plain,
% 184.05/183.98 (~E(f317(a102,x105391),x105391)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10544,plain,
% 184.05/183.98 (~E(f317(a102,x105441),x105441)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10547,plain,
% 184.05/183.98 (~E(f317(a102,x105471),x105471)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10549,plain,
% 184.05/183.98 (P1(f317(a183,a87))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,3232,3396,10470,3271,3333,3267,3295,3278,3366,4589,3330,4637,3351,3502,3420,4613,10438,10441,4009,3439,4610,4584,4616,10429,4609,10478,10507,3527,3945,3884,4617,10458,4242,4614,4601,3412,3413,4602,4633,4631,10483,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389])).
% 184.05/183.98 cnf(10552,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x105521),f317(a102,x105521)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10561,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x105611),x105611))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(10568,plain,
% 184.05/183.98 (E(f317(f274(x105681,x105681),f253(x105681,x105682)),x105682)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(10571,plain,
% 184.05/183.98 (E(f317(f274(x105711,x105711),f253(x105711,x105712)),x105712)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(10588,plain,
% 184.05/183.98 (P1(f317(f317(f224(a1),x105881),x105881))),
% 184.05/183.98 inference(rename_variables,[],[3437])).
% 184.05/183.98 cnf(10593,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x105931),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10596,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x105961,a895)),x105962),f232(f906(x105961,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(10601,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x106011),f103(x106011)),x106012))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10630,plain,
% 184.05/183.98 (~E(f317(f317(f141(x106301),x106302),x106303),x106303)),
% 184.05/183.98 inference(rename_variables,[],[4589])).
% 184.05/183.98 cnf(10633,plain,
% 184.05/183.98 (~E(f317(a102,x106331),f2(a899))),
% 184.05/183.98 inference(rename_variables,[],[4582])).
% 184.05/183.98 cnf(10644,plain,
% 184.05/183.98 (P1(f317(f317(f224(a1),x106441),x106441))),
% 184.05/183.98 inference(rename_variables,[],[3437])).
% 184.05/183.98 cnf(10649,plain,
% 184.05/183.98 (~E(f317(a102,x106491),x106491)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10652,plain,
% 184.05/183.98 (~P1(f317(f317(f178(f906(x106521,f906(x106522,a895))),x106523),x106524))),
% 184.05/183.98 inference(rename_variables,[],[4635])).
% 184.05/183.98 cnf(10659,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x106591),x106591))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(10672,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x106721),f317(a102,x106721)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10693,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x106931,a895)),x106932),f232(f906(x106931,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(10696,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x106961),f103(x106961)),x106962))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10715,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107151),f103(x107151)),x107152))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10722,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107221),f103(x107221)),x107222))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10730,plain,
% 184.05/183.98 (E(f317(f317(f234(a899),f317(f94(a899),a87)),x107301),f317(f317(f234(a899),f2(a899)),x107301))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,4582,3232,3396,10470,10473,10568,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,4201,4637,3351,3792,3502,10552,10672,3420,4613,10438,10441,10467,10593,4624,3866,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,4151,3810,10596,3436,10561,10659,3437,10588,4609,10478,10507,3527,3945,3884,10510,4617,10458,4242,4614,4601,3412,3417,4603,3413,4602,4633,4635,3907,4631,10483,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917])).
% 184.05/183.98 cnf(10733,plain,
% 184.05/183.98 (~E(f317(a102,x107331),f2(a899))),
% 184.05/183.98 inference(rename_variables,[],[4582])).
% 184.05/183.98 cnf(10738,plain,
% 184.05/183.98 (P1(f317(f317(f319(x107381),x107382),f232(f906(x107381,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(10745,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107451),f103(x107451)),x107452))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10750,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x107501),f317(a102,x107501)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10753,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107531),f103(x107531)),x107532))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10756,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107561),f103(x107561)),x107562))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10759,plain,
% 184.05/183.98 (~P1(f317(f56(x107591,x107592,f178(f906(x107591,a895))),x107593))),
% 184.05/183.98 inference(rename_variables,[],[4630])).
% 184.05/183.98 cnf(10762,plain,
% 184.05/183.98 (~P1(f317(f56(x107621,x107622,f178(f906(x107621,a895))),x107623))),
% 184.05/183.98 inference(rename_variables,[],[4630])).
% 184.05/183.98 cnf(10765,plain,
% 184.05/183.98 (~P1(f317(f317(f178(f906(x107651,f906(x107652,a895))),x107653),x107654))),
% 184.05/183.98 inference(rename_variables,[],[4635])).
% 184.05/183.98 cnf(10768,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x107681),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10773,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x107731),f103(x107731)),x107732))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10783,plain,
% 184.05/183.98 (~E(f317(f158(x107831),f317(a102,f317(f317(f124(x107831),f317(f158(x107831),x107832)),f317(f317(f141(x107831),x107833),f103(x107831))))),f317(f317(f141(x107831),x107833),x107832))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,4201,4637,3351,3792,3502,10552,10672,10750,3420,4613,10438,10441,10467,10593,4624,3866,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4151,3810,10596,3436,10561,10659,3437,10588,4609,10478,10507,3585,3527,3945,3884,10510,4617,10458,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4633,4635,10652,3907,4631,10483,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101])).
% 184.05/183.98 cnf(10784,plain,
% 184.05/183.98 (~E(f317(a102,x107841),x107841)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(10802,plain,
% 184.05/183.98 (P1(f317(f317(f225(a89),f317(a5,x108021)),f317(a5,f317(a102,x108021))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,4201,4637,3351,3792,3502,10552,10672,10750,3879,3420,4613,10438,10441,10467,10593,4624,3866,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4151,3810,10596,3436,10561,10659,3437,10588,4609,10478,10507,3585,3527,3945,3884,10510,4617,10458,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4633,4635,10652,3907,4631,10483,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184])).
% 184.05/183.98 cnf(10809,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x108091),x108091))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(10812,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x108121),f317(f317(f75(a899),x108121),x108121)))),
% 184.05/183.98 inference(rename_variables,[],[3692])).
% 184.05/183.98 cnf(10815,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x108151),f317(f317(f75(a899),x108151),x108151)))),
% 184.05/183.98 inference(rename_variables,[],[3692])).
% 184.05/183.98 cnf(10818,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x108181),f317(a102,f317(f317(f74(a899),x108182),x108181))))),
% 184.05/183.98 inference(rename_variables,[],[3877])).
% 184.05/183.98 cnf(10823,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x108231),f317(a102,x108231)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10826,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x108261),f317(a102,x108261)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10829,plain,
% 184.05/183.98 (P1(f317(f317(f319(x108291),x108292),f232(f906(x108291,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(10848,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,x108481)),x108481))),
% 184.05/183.98 inference(rename_variables,[],[4617])).
% 184.05/183.98 cnf(10851,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,x108511)),x108511))),
% 184.05/183.98 inference(rename_variables,[],[4617])).
% 184.05/183.98 cnf(10854,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x108541),x108542)),x108542))),
% 184.05/183.98 inference(rename_variables,[],[4631])).
% 184.05/183.98 cnf(10857,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x108571),x108572)),x108572))),
% 184.05/183.98 inference(rename_variables,[],[4631])).
% 184.05/183.98 cnf(10860,plain,
% 184.05/183.98 (P1(f317(f232(f906(x108601,a895)),x108602))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(10863,plain,
% 184.05/183.98 (E(f317(f29(a899),f317(f272(a899),x108631)),x108631)),
% 184.05/183.98 inference(rename_variables,[],[3330])).
% 184.05/183.98 cnf(10866,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x108661),f317(a102,x108661)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10873,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x108731),x108731))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(10878,plain,
% 184.05/183.98 (P1(f317(f317(f224(a1),x108781),x108781))),
% 184.05/183.98 inference(rename_variables,[],[3437])).
% 184.05/183.98 cnf(10881,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x108811,a895)),f317(f162(x108811),f317(f126(x108811,x108812),x108813))),f317(f162(x108811),x108813)))),
% 184.05/183.98 inference(rename_variables,[],[4070])).
% 184.05/183.98 cnf(10890,plain,
% 184.05/183.98 (E(f317(f274(x108901,x108901),f253(x108901,x108902)),x108902)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(10893,plain,
% 184.05/183.98 (P1(f317(f232(f906(x108931,a895)),x108932))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(10896,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),f2(a899)),x108961))),
% 184.05/183.98 inference(rename_variables,[],[3457])).
% 184.05/183.98 cnf(10899,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x108991,a895)),f178(f906(x108991,a895))),x108992))),
% 184.05/183.98 inference(rename_variables,[],[3876])).
% 184.05/183.98 cnf(10902,plain,
% 184.05/183.98 (P1(f317(f232(f906(x109021,a895)),x109022))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(10905,plain,
% 184.05/183.98 (P1(f317(f232(f906(x109051,a895)),x109052))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(10908,plain,
% 184.05/183.98 (P1(f317(f232(f906(x109081,a895)),x109082))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(10910,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(f317(f75(a899),f317(a102,x109101)),f317(a102,x109101))),x109101))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,10531,4201,4637,3351,3792,3729,3502,10552,10672,10750,10823,10826,3879,3420,4613,10438,10441,10467,10593,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4070,4151,3810,10596,3436,10561,10659,10809,3437,10588,10644,4609,10478,10507,3585,10738,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,3457,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431])).
% 184.05/183.98 cnf(10911,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x109111),f317(f317(f75(a899),x109111),x109111)))),
% 184.05/183.98 inference(rename_variables,[],[3692])).
% 184.05/183.98 cnf(10915,plain,
% 184.05/183.98 (E(f317(f158(x109151),f163(x109152,f317(f317(f124(x109151),f317(f158(x109151),x109153)),f317(f317(f141(x109151),x109154),f103(x109151))),f103(x109152))),f317(f317(f141(x109151),x109154),x109153))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,10531,4201,4637,3351,3792,3729,3502,10552,10672,10750,10823,10826,3879,3420,4613,10438,10441,10467,10593,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4070,4151,3810,10596,3436,10561,10659,10809,3437,10588,10644,4609,10478,10507,3585,10738,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,3457,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470])).
% 184.05/183.98 cnf(10920,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,f317(a102,f317(f317(f74(a899),x109201),x109202)))),f317(a102,x109202)))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,10531,4201,4637,3351,3792,3729,3502,10552,10672,10750,10823,10826,10866,3879,3420,4613,10438,10441,10467,10593,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4070,4151,3810,10596,3436,10561,10659,10809,3437,10588,10644,4609,10478,10507,3585,10738,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,3457,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474])).
% 184.05/183.98 cnf(10928,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a89),f317(a5,x109281)),f317(a5,f2(a899))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,10531,4201,4637,3351,3792,3729,3502,10552,10672,10750,10823,10826,10866,3879,3420,4613,10438,10441,10467,10593,10768,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,4070,4151,3810,10596,3436,10561,10659,10809,3437,10588,10644,4609,10478,10507,3585,10738,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,4242,4614,4601,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479])).
% 184.05/183.98 cnf(10951,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x109511),x109511))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(10962,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x109621),f103(x109621)),x109622))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(10969,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x109691),f317(a102,x109691)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(10971,plain,
% 184.05/183.98 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x109711),f72(a1))),x109711))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3366,4589,10461,3330,10531,4201,4061,4637,3351,3792,3729,3502,10552,10672,10750,10823,10826,10866,3879,3420,4613,10438,10441,10467,10593,10768,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4070,4151,3810,10596,3436,10561,10659,10809,10873,10951,3437,10588,10644,10878,4609,10478,10507,3585,10738,4620,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,4242,4614,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748])).
% 184.05/183.98 cnf(10972,plain,
% 184.05/183.98 (P1(f317(f317(f224(a1),x109721),x109721))),
% 184.05/183.98 inference(rename_variables,[],[3437])).
% 184.05/183.98 cnf(10977,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x109771),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10992,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x109921),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(10995,plain,
% 184.05/183.98 (~P1(f317(f317(f225(f906(x109951,a895)),x109952),f178(f906(x109951,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4628])).
% 184.05/183.98 cnf(10998,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x109981),x109981))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11001,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x110011),x110011))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11016,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x110161),x110161))),
% 184.05/183.98 inference(rename_variables,[],[4609])).
% 184.05/183.98 cnf(11025,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x110251),x110252),f178(f906(x110251,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11032,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x110321),x110321))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11035,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x110351,a895)),f317(f300(x110352,x110351,x110353),f317(f301(x110352,x110351,x110353),x110354))),x110354))),
% 184.05/183.98 inference(rename_variables,[],[4297])).
% 184.05/183.98 cnf(11044,plain,
% 184.05/183.98 (E(f317(f300(x110441,x110441,f7(x110441)),x110442),x110442)),
% 184.05/183.98 inference(rename_variables,[],[3491])).
% 184.05/183.98 cnf(11049,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),f2(a899)),x110491))),
% 184.05/183.98 inference(rename_variables,[],[3457])).
% 184.05/183.98 cnf(11052,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x110521),x110521))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11055,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x110551),x110551))),
% 184.05/183.98 inference(rename_variables,[],[4609])).
% 184.05/183.98 cnf(11057,plain,
% 184.05/183.98 (~P32(x110571,f178(f906(x110572,a895)),x110573)),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,3437,10588,10644,10878,3438,4609,10478,10507,11016,3585,10738,4620,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,4242,4614,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307])).
% 184.05/183.98 cnf(11064,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x110641),x110641))),
% 184.05/183.98 inference(rename_variables,[],[4609])).
% 184.05/183.98 cnf(11075,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x110751),f317(f317(f75(a899),x110751),x110751)))),
% 184.05/183.98 inference(rename_variables,[],[3692])).
% 184.05/183.98 cnf(11081,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x110811),f317(a102,f317(f317(f74(a899),x110812),x110811))))),
% 184.05/183.98 inference(rename_variables,[],[3877])).
% 184.05/183.98 cnf(11088,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x110881),x110881))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11091,plain,
% 184.05/183.98 (P1(f317(f317(f224(a1),x110911),x110911))),
% 184.05/183.98 inference(rename_variables,[],[3437])).
% 184.05/183.98 cnf(11094,plain,
% 184.05/183.98 (~E(f317(a102,x110941),x110941)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11098,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(x110981,x110981)),x110982),f297(x110981,f232(f906(f905(x110981,x110981),a895)))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,4620,11025,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,4242,4614,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574])).
% 184.05/183.98 cnf(11099,plain,
% 184.05/183.98 (P1(f317(f317(f319(x110991),x110992),f232(f906(x110991,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11104,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x111041),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(11106,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x111061,a895)),x111062),f31(f906(x111061,a895),f317(f298(x111061),x111062))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,4620,11025,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,4242,4614,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628])).
% 184.05/183.98 cnf(11119,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),f2(a899)),x111191))),
% 184.05/183.98 inference(rename_variables,[],[3457])).
% 184.05/183.98 cnf(11126,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x111261),x111261))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11135,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x111351),x111352),f178(f906(x111351,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11139,plain,
% 184.05/183.98 (E(f317(f317(f92(f906(x111391,a895)),f317(f317(f92(f906(x111391,a895)),x111392),f317(f73(f906(x111391,a895)),x111393))),x111393),f178(f906(x111391,a895)))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,4620,11025,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907])).
% 184.05/183.98 cnf(11142,plain,
% 184.05/183.98 (P1(f317(f317(f319(f900(x111421)),x111422),f151(x111421,f232(f906(x111421,a895)))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,4620,11025,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917])).
% 184.05/183.98 cnf(11143,plain,
% 184.05/183.98 (P1(f317(f317(f319(x111431),x111432),f232(f906(x111431,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11146,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x111461),f900(x111461))),f317(f317(f242(f900(x111461),f900(x111461)),x111462),f103(x111461))),f135(x111461,x111463)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11155,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x111551,x111551)),x111552),f253(x111551,f178(f906(x111551,a895)))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,4620,11025,11135,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051])).
% 184.05/183.98 cnf(11156,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x111561),x111562),f178(f906(x111561,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11158,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x111581),x111582),f317(f301(x111581,x111583,x111584),f178(f906(x111583,a895)))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,4620,11025,11135,11156,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3876,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082])).
% 184.05/183.98 cnf(11159,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x111591),x111592),f178(f906(x111591,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11162,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x111621,a895)),x111622),f317(f317(f299(x111621),x111623),x111622)))),
% 184.05/183.98 inference(rename_variables,[],[3874])).
% 184.05/183.98 cnf(11165,plain,
% 184.05/183.98 (P1(f317(f317(f224(a899),x111651),x111651))),
% 184.05/183.98 inference(rename_variables,[],[3436])).
% 184.05/183.98 cnf(11168,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x111681,a895)),x111682),f317(f317(f299(x111681),x111683),x111682)))),
% 184.05/183.98 inference(rename_variables,[],[3874])).
% 184.05/183.98 cnf(11171,plain,
% 184.05/183.98 (E(f317(f300(x111711,x111711,f7(x111711)),x111712),x111712)),
% 184.05/183.98 inference(rename_variables,[],[3491])).
% 184.05/183.98 cnf(11173,plain,
% 184.05/183.98 (P33(x111731,x111732,x111733,f104(x111731,f103(x111731)),f103(x111732))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,3232,3281,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,11044,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,4620,11025,11135,11156,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,3874,11162,3876,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188])).
% 184.05/183.98 cnf(11186,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x111861,a895)),x111862),f317(f317(f299(x111861),x111863),x111862)))),
% 184.05/183.98 inference(rename_variables,[],[3874])).
% 184.05/183.98 cnf(11197,plain,
% 184.05/183.98 (~E(f317(a102,x111971),f2(a899))),
% 184.05/183.98 inference(rename_variables,[],[4582])).
% 184.05/183.98 cnf(11200,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x112001),f103(x112001)),x112002))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(11204,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),f317(a102,x112041)),x112041)),f297(a899,a307)))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,4582,10633,10733,3232,3281,3396,10470,10473,10568,10571,3373,3271,3333,3267,3295,3278,3898,3491,11044,3366,4589,10461,3330,10531,4201,4061,4637,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,4163,4070,10881,3793,4151,3810,10596,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,4620,11025,11135,11156,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,4027,3874,11162,11168,3876,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511])).
% 184.05/183.98 cnf(11213,plain,
% 184.05/183.98 (P1(f317(f317(f225(a899),x112131),f317(a102,x112131)))),
% 184.05/183.98 inference(rename_variables,[],[3502])).
% 184.05/183.98 cnf(11223,plain,
% 184.05/183.98 (~E(f317(f300(x112231,f906(x112231,a895),x112232),x112233),f317(f298(x112231),x112233))),
% 184.05/183.98 inference(rename_variables,[],[4618])).
% 184.05/183.98 cnf(11226,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x112261),x112262),f178(f906(x112261,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11229,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x112291),x112292),f178(f906(x112291,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11232,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x112321,x112321)),f317(f317(f242(x112321,x112321),x112322),x112323)),f143(x112321,f103(f906(x112321,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11235,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x112351,x112351)),f317(f317(f242(x112351,x112351),x112352),x112353)),f143(x112351,f103(f906(x112351,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11240,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x112401),x112402),f178(f906(x112401,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11243,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(x112431,x112431)),f317(f317(f242(x112431,x112431),x112432),x112432)),f297(x112431,x112433)))),
% 184.05/183.98 inference(rename_variables,[],[4061])).
% 184.05/183.98 cnf(11246,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x112461,a895)),x112462),f232(f906(x112461,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(11249,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x112491,a895)),f317(f162(x112491),f166(x112491,x112492,x112493))),f317(f162(x112491),x112492)))),
% 184.05/183.98 inference(rename_variables,[],[4117])).
% 184.05/183.98 cnf(11265,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x112651,a895)),f178(f906(x112651,a895))),x112652))),
% 184.05/183.98 inference(rename_variables,[],[3876])).
% 184.05/183.98 cnf(11276,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x112761),f900(x112761))),f317(f317(f242(f900(x112761),f900(x112761)),x112762),f103(x112761))),f137(x112761,x112763)))),
% 184.05/183.98 inference(rename_variables,[],[4638])).
% 184.05/183.98 cnf(11287,plain,
% 184.05/183.98 (~E(f317(a102,x112871),x112871)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11290,plain,
% 184.05/183.98 (~E(f317(a102,x112901),x112901)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11294,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(f900(x112941),f900(x112941))),f317(f317(f242(f900(x112941),f900(x112941)),f103(x112941)),f103(x112941))),f317(f317(f279(f900(x112941),f900(x112941),f900(x112941)),f148(x112941,x112942)),f297(f900(x112941),f148(x112941,x112942)))))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,4582,10633,10733,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,3330,10531,4201,4061,11243,4637,11146,4638,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,4163,4070,10881,4117,3793,4151,3810,10596,10693,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,4620,11025,11135,11156,11159,11226,11229,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,4027,3874,11162,11168,3876,10899,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739])).
% 184.05/183.98 cnf(11297,plain,
% 184.05/183.98 (~E(f317(a102,x112971),f2(a899))),
% 184.05/183.98 inference(rename_variables,[],[4582])).
% 184.05/183.98 cnf(11299,plain,
% 184.05/183.98 (E(f317(x112991,f317(f85(x112992,x112993,f232(f906(x112992,a895)),x112991),f317(x112991,x112994))),f317(x112991,x112994))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,3330,10531,4201,4061,11243,4637,11146,4638,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,4163,4070,10881,4117,3793,4151,3810,10596,10693,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,4620,11025,11135,11156,11159,11226,11229,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,4027,3874,11162,11168,3876,10899,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753])).
% 184.05/183.98 cnf(11302,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x113021,a895)),x113022),x113022))),
% 184.05/183.98 inference(rename_variables,[],[3725])).
% 184.05/183.98 cnf(11309,plain,
% 184.05/183.98 (~E(f317(a102,x113091),x113091)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11312,plain,
% 184.05/183.98 (~E(f317(a102,x113121),x113121)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11314,plain,
% 184.05/183.98 (~P25(x113141,f906(x113141,a895),x113142,x113143,f317(f298(x113141),x113143))),
% 184.05/183.98 inference(scs_inference,[],[4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3330,10531,4201,4061,11243,4637,11146,4638,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,4163,4070,10881,4117,3793,4151,3810,10596,10693,4628,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,4620,11025,11135,11156,11159,11226,11229,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,4027,3874,11162,11168,3725,3876,10899,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792])).
% 184.05/183.98 cnf(11317,plain,
% 184.05/183.98 (P24(x113171,x113171,f7(x113171),x113172)),
% 184.05/183.98 inference(rename_variables,[],[3669])).
% 184.05/183.98 cnf(11322,plain,
% 184.05/183.98 (~E(f317(f300(x113221,f906(x113221,a895),x113222),x113223),f317(f298(x113221),x113223))),
% 184.05/183.98 inference(rename_variables,[],[4618])).
% 184.05/183.98 cnf(11327,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x113271,a895)),x113272),f232(f906(x113271,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(11343,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x113431),x113432),f178(f906(x113431,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11346,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,x113461)),x113461))),
% 184.05/183.98 inference(rename_variables,[],[4617])).
% 184.05/183.98 cnf(11351,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x113511),x113512),f178(f906(x113511,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11362,plain,
% 184.05/183.98 (~P1(f317(f317(f224(a899),f317(a102,x113621)),x113621))),
% 184.05/183.98 inference(rename_variables,[],[4617])).
% 184.05/183.98 cnf(11365,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x113651),x113652),f178(f906(x113651,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11374,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(x113741,x113741)),f317(f317(f242(x113741,x113741),x113742),x113742)),f297(x113741,x113743)))),
% 184.05/183.98 inference(rename_variables,[],[4061])).
% 184.05/183.98 cnf(11377,plain,
% 184.05/183.98 (P1(f317(f317(f319(x113771),x113772),f232(f906(x113771,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11380,plain,
% 184.05/183.98 (P1(f317(f317(f319(x113801),x113802),f232(f906(x113801,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11387,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x113871),f900(x113871))),f317(f317(f242(f900(x113871),f900(x113871)),x113872),f103(x113871))),f135(x113871,x113873)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11390,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x113901),f900(x113901))),f317(f317(f242(f900(x113901),f900(x113901)),x113902),f103(x113901))),f137(x113901,x113903)))),
% 184.05/183.98 inference(rename_variables,[],[4638])).
% 184.05/183.98 cnf(11393,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x113931),f900(x113931))),f317(f317(f242(f900(x113931),f900(x113931)),x113932),f103(x113931))),f147(x113931,x113933)))),
% 184.05/183.98 inference(rename_variables,[],[4639])).
% 184.05/183.98 cnf(11398,plain,
% 184.05/183.98 (~P1(f317(f317(f225(f906(x113981,a895)),x113982),f178(f906(x113981,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4628])).
% 184.05/183.98 cnf(11400,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x114001),x114002),f317(f300(x114003,x114001,x114004),f178(f906(x114003,a895)))))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3538,3330,10531,4201,4061,11243,4637,11146,11387,4638,11276,4639,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,4628,10995,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,4027,3874,11162,11168,3725,3876,10899,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215])).
% 184.05/183.98 cnf(11401,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x114011),x114012),f178(f906(x114011,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11406,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114061,a895)),x114062),f232(f906(x114061,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(11413,plain,
% 184.05/183.98 (~P1(f317(f317(f162(x114131),f103(x114131)),x114132))),
% 184.05/183.98 inference(rename_variables,[],[4616])).
% 184.05/183.98 cnf(11418,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x114181),x114182),f178(f906(x114181,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11421,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x114211,x114211)),f317(f317(f242(x114211,x114211),x114212),x114213)),f143(x114211,f103(f906(x114211,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11424,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114241,a895)),x114242),x114242))),
% 184.05/183.98 inference(rename_variables,[],[3725])).
% 184.05/183.98 cnf(11427,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x114271),x114272),f178(f906(x114271,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11429,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114291,a895)),f317(f275(x114292,x114291,f178(f906(f905(x114292,x114291),a895))),x114293)),x114294))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3538,3330,10531,4201,4061,11243,4637,11146,11387,4638,11276,4639,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,4628,10995,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,4027,3874,11162,11168,3725,11302,3876,10899,11265,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422])).
% 184.05/183.98 cnf(11430,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114301,a895)),f178(f906(x114301,a895))),x114302))),
% 184.05/183.98 inference(rename_variables,[],[3876])).
% 184.05/183.98 cnf(11433,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(x114331,x114331)),f317(f317(f242(x114331,x114331),x114332),x114332)),f297(x114331,x114333)))),
% 184.05/183.98 inference(rename_variables,[],[4061])).
% 184.05/183.98 cnf(11435,plain,
% 184.05/183.98 (~P33(x114351,x114352,x114353,f317(f317(f144(x114354,x114351),x114355),f317(a102,f103(x114354))),f103(x114352))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3538,3330,10531,4201,4061,11243,11374,4637,11146,11387,4638,11276,4639,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,4628,10995,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,4027,3874,11162,11168,3725,11302,3876,10899,11265,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430])).
% 184.05/183.98 cnf(11444,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x114441),f900(x114441))),f317(f317(f242(f900(x114441),f900(x114441)),x114442),f103(x114441))),f147(x114441,x114443)))),
% 184.05/183.98 inference(rename_variables,[],[4639])).
% 184.05/183.98 cnf(11451,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x114511),f900(x114511))),f317(f317(f242(f900(x114511),f900(x114511)),f103(x114511)),x114512)),f135(x114511,x114513)))),
% 184.05/183.98 inference(rename_variables,[],[4640])).
% 184.05/183.98 cnf(11459,plain,
% 184.05/183.98 (P1(f317(f317(f319(x114591),x114592),f232(f906(x114591,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11464,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114641,a895)),f178(f906(x114641,a895))),x114642))),
% 184.05/183.98 inference(rename_variables,[],[3876])).
% 184.05/183.98 cnf(11467,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x114671),x114672),f178(f906(x114671,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11470,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114701,a895)),x114702),f232(f906(x114701,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3810])).
% 184.05/183.98 cnf(11474,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114741,a895)),f317(f275(x114742,x114741,x114743),f178(f906(x114742,a895)))),x114744))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3538,3330,10531,4201,4061,11243,11374,4637,11146,11387,4638,11276,4639,11393,4640,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701])).
% 184.05/183.98 cnf(11475,plain,
% 184.05/183.98 (P1(f317(f317(f224(f906(x114751,a895)),f178(f906(x114751,a895))),x114752))),
% 184.05/183.98 inference(rename_variables,[],[3876])).
% 184.05/183.98 cnf(11477,plain,
% 184.05/183.98 (~P1(f317(f60(a899,x114771,x114772,x114773,f232(f906(a899,a895))),x114774))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,4618,11223,3538,3330,10531,4201,4061,11243,11374,4637,11146,11387,4638,11276,4639,11393,4640,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,3495,10860,10893,10902,10905,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722])).
% 184.05/183.98 cnf(11488,plain,
% 184.05/183.98 (P1(f317(f232(f906(x114881,a895)),x114882))),
% 184.05/183.98 inference(rename_variables,[],[3495])).
% 184.05/183.98 cnf(11496,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x114961),f900(x114961))),f317(f317(f242(f900(x114961),f900(x114961)),x114962),f103(x114961))),f135(x114961,x114963)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11499,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x114991),f900(x114991))),f317(f317(f242(f900(x114991),f900(x114991)),x114992),f103(x114991))),f137(x114991,x114993)))),
% 184.05/183.98 inference(rename_variables,[],[4638])).
% 184.05/183.98 cnf(11502,plain,
% 184.05/183.98 (~E(f317(f317(f141(x115021),x115022),x115023),x115023)),
% 184.05/183.98 inference(rename_variables,[],[4589])).
% 184.05/183.98 cnf(11505,plain,
% 184.05/183.98 (~E(f317(a102,x115051),x115051)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11508,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115081),x115082),f178(f906(x115081,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11513,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115131),x115132),f178(f906(x115131,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11516,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115161),x115162),f178(f906(x115161,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11519,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(f900(x115191),f900(x115191))),f317(f317(f242(f900(x115191),f900(x115191)),x115192),x115192)),f148(x115191,f297(x115191,x115193))))),
% 184.05/183.98 inference(rename_variables,[],[4194])).
% 184.05/183.98 cnf(11522,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x115221),f900(x115221))),f317(f317(f242(f900(x115221),f900(x115221)),x115222),f103(x115221))),f135(x115221,x115223)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11526,plain,
% 184.05/183.98 (E(f317(f317(f141(x115261),f636(f297(x115261,x115262),f317(f317(f141(x115261),x115263),x115264),x115264,x115263,x115261)),f637(f297(x115261,x115262),f317(f317(f141(x115261),x115263),x115264),x115264,x115263,x115261)),f317(f317(f141(x115261),x115263),x115264))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,3538,3330,10531,4201,4061,11243,11374,4637,11146,11387,11496,4638,11276,11390,4639,11393,4640,11451,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4194,11519,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,3495,10860,10893,10902,10905,10908,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897])).
% 184.05/183.98 cnf(11532,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x115321,x115321)),f317(f317(f242(x115321,x115321),x115322),x115323)),f143(x115321,f103(f906(x115321,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11535,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115351),x115352),f178(f906(x115351,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11538,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115381),x115382),f178(f906(x115381,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11541,plain,
% 184.05/183.98 (P1(f317(f317(f319(x115411),x115412),f232(f906(x115411,a895))))),
% 184.05/183.98 inference(rename_variables,[],[3585])).
% 184.05/183.98 cnf(11544,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x115441),f2(a899)))),
% 184.05/183.98 inference(rename_variables,[],[4613])).
% 184.05/183.98 cnf(11549,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x115491,x115491)),f317(f317(f242(x115491,x115491),x115492),x115493)),f143(x115491,f103(f906(x115491,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11558,plain,
% 184.05/183.98 (~E(f317(f300(x115581,f906(x115581,a895),x115582),x115583),f317(f298(x115581),x115583))),
% 184.05/183.98 inference(rename_variables,[],[4618])).
% 184.05/183.98 cnf(11561,plain,
% 184.05/183.98 (~E(f317(f300(x115611,f906(x115611,a895),x115612),x115613),f317(f298(x115611),x115613))),
% 184.05/183.98 inference(rename_variables,[],[4618])).
% 184.05/183.98 cnf(11563,plain,
% 184.05/183.98 (E(f317(f317(f242(a899,a899),f627(f297(a899,a307),a307,a899,f317(f317(f242(a899,a899),x115631),f317(a102,x115631)),a899,a899)),f628(f297(a899,a307),a307,a899,f317(f317(f242(a899,a899),x115631),f317(a102,x115631)),a899,a899)),f317(f317(f242(a899,a899),x115631),f317(a102,x115631)))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,11322,11558,3538,3330,10531,4201,4061,11243,11374,4637,11146,11387,11496,4638,11276,11390,4639,11393,4640,11451,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4194,11519,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,11459,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,3495,10860,10893,10902,10905,10908,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,11421,11532,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084])).
% 184.05/183.98 cnf(11566,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x115661),f900(x115661))),f317(f317(f242(f900(x115661),f900(x115661)),x115662),f103(x115661))),f135(x115661,x115663)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11572,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(f900(x115721),f900(x115721))),f317(f317(f242(f900(x115721),f900(x115721)),x115722),f103(x115721))),f135(x115721,x115723)))),
% 184.05/183.98 inference(rename_variables,[],[4637])).
% 184.05/183.98 cnf(11575,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115751),x115752),f178(f906(x115751,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11577,plain,
% 184.05/183.98 (P1(f317(f317(f319(f905(x115771,x115772)),f317(f317(f242(x115771,x115772),f317(x115773,x115774)),f317(x115775,x115774))),f317(f300(f905(x115776,x115776),f905(x115771,x115772),f248(x115776,x115771,x115776,x115772,x115773,x115775)),f297(x115776,x115777))))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,11322,11558,3538,3330,10531,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4194,11519,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,11459,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,3495,10860,10893,10902,10905,10908,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,11421,11532,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213])).
% 184.05/183.98 cnf(11580,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115801),x115802),f178(f906(x115801,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11583,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115831),x115832),f178(f906(x115831,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11586,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115861),x115862),f178(f906(x115861,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11589,plain,
% 184.05/183.98 (~P1(f317(f317(f319(x115891),x115892),f178(f906(x115891,a895))))),
% 184.05/183.98 inference(rename_variables,[],[4620])).
% 184.05/183.98 cnf(11592,plain,
% 184.05/183.98 (P1(f317(f317(f319(x115921),f317(x115922,x115923)),f317(f300(x115924,x115921,x115922),f232(f906(x115924,a895)))))),
% 184.05/183.98 inference(rename_variables,[],[4027])).
% 184.05/183.98 cnf(11594,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x115941,x115942)),x115943),f317(f300(f905(x115944,x115944),f905(x115941,x115942),f248(x115944,x115941,x115944,x115942,x115945,x115946)),f143(x115944,f103(f906(x115944,a899))))))),
% 184.05/183.98 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,4582,10633,10733,11197,3232,3281,3396,10470,10473,10568,10571,3373,3886,3271,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,11322,11558,3538,3330,10531,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,4613,10438,10441,10467,10593,10768,10977,10992,11104,4624,3866,3638,4009,3464,3466,3439,4610,4584,4194,11519,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,11459,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,3495,10860,10893,10902,10905,10908,3527,3945,3884,10510,4617,10458,10848,10851,11346,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4630,10759,4636,11232,11235,11421,11532,11549,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385])).
% 184.05/183.98 cnf(11595,plain,
% 184.05/183.98 (~P1(f317(f317(f319(f905(x115951,x115951)),f317(f317(f242(x115951,x115951),x115952),x115953)),f143(x115951,f103(f906(x115951,a899)))))),
% 184.05/183.98 inference(rename_variables,[],[4636])).
% 184.05/183.98 cnf(11603,plain,
% 184.05/183.98 (E(f104(x116031,f103(x116031)),f103(x116031))),
% 184.05/183.98 inference(rename_variables,[],[3281])).
% 184.05/183.98 cnf(11606,plain,
% 184.05/183.98 (~E(f317(a102,x116061),x116061)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11613,plain,
% 184.05/183.98 (~E(f317(a102,x116131),x116131)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11618,plain,
% 184.05/183.98 (E(f317(f274(x116181,x116181),f253(x116181,x116182)),x116182)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(11621,plain,
% 184.05/183.98 (E(f317(f274(x116211,x116211),f253(x116211,x116212)),x116212)),
% 184.05/183.98 inference(rename_variables,[],[3396])).
% 184.05/183.98 cnf(11627,plain,
% 184.05/183.98 (~E(f317(a102,x116271),x116271)),
% 184.05/183.98 inference(rename_variables,[],[4576])).
% 184.05/183.98 cnf(11632,plain,
% 184.05/183.98 (~E(f317(f317(f74(a1),x116321),x116321),a87)),
% 184.05/183.98 inference(rename_variables,[],[4587])).
% 184.05/183.98 cnf(11639,plain,
% 184.05/183.98 (E(f317(f317(f3(a899),f2(a899)),x116391),f2(a899))),
% 184.05/183.98 inference(rename_variables,[],[3352])).
% 184.05/183.98 cnf(11642,plain,
% 184.05/183.98 (~P1(f317(f317(f225(a899),x116421),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(11649,plain,
% 184.05/183.99 (E(f317(f317(f74(a1),f317(f317(f75(a1),x116491),f317(f317(f30(a1),x116492),x116491))),f40(a1,x116492,x116491)),x116492)),
% 184.05/183.99 inference(rename_variables,[],[3977])).
% 184.05/183.99 cnf(11673,plain,
% 184.05/183.99 (~E(f317(a102,x116731),x116731)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11676,plain,
% 184.05/183.99 (~E(f317(a102,x116761),x116761)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11702,plain,
% 184.05/183.99 (~P1(f317(f317(f162(x117021),f103(x117021)),x117022))),
% 184.05/183.99 inference(rename_variables,[],[4616])).
% 184.05/183.99 cnf(11708,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),f2(a899)),f317(a102,x117081)))),
% 184.05/183.99 inference(rename_variables,[],[3514])).
% 184.05/183.99 cnf(11709,plain,
% 184.05/183.99 (~E(f317(a102,x117091),x117091)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11712,plain,
% 184.05/183.99 (P1(f317(f317(f319(x117121),x117122),f232(f906(x117121,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3585])).
% 184.05/183.99 cnf(11724,plain,
% 184.05/183.99 (~E(f317(a102,x117241),x117241)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11727,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x117271),x117271))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(11734,plain,
% 184.05/183.99 (P1(f317(f60(x117341,x117342,x117343,x117344,f178(f906(x117341,a895))),x117344))),
% 184.05/183.99 inference(rename_variables,[],[4336])).
% 184.05/183.99 cnf(11735,plain,
% 184.05/183.99 (E(f317(f274(x117351,x117351),f253(x117351,x117352)),x117352)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(11748,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x117481),x117482)),x117482))),
% 184.05/183.99 inference(rename_variables,[],[4631])).
% 184.05/183.99 cnf(11751,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x117511)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(11765,plain,
% 184.05/183.99 (~E(f317(f317(f228(a899),f317(a102,x117651)),x117651),f317(a102,x117651))),
% 184.05/183.99 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,3356,4582,10633,10733,11197,3050,3052,3060,3061,3073,3079,3085,3097,3108,3118,3119,3127,3163,3175,3176,3192,3198,3217,3232,4574,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,3373,3886,3271,3977,11649,3333,3267,3295,3278,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,3879,3420,3514,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,4624,3866,3638,4009,3464,3466,3439,4610,4584,3622,4625,4194,11519,3751,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,11091,3438,4609,10478,10507,11016,11055,3585,10738,10829,11099,11143,11377,11380,11459,11541,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,3495,10860,10893,10902,10905,10908,3527,3945,3884,10510,4617,10458,10848,10851,11346,11362,3457,10896,11049,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,10857,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436])).
% 184.05/183.99 cnf(11774,plain,
% 184.05/183.99 (E(f317(f274(x117741,x117741),f253(x117741,x117742)),x117742)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(11779,plain,
% 184.05/183.99 (E(f317(f274(x117791,x117791),f253(x117791,x117792)),x117792)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(11782,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x117821)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(11787,plain,
% 184.05/183.99 (~E(f317(a102,x117871),x117871)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11796,plain,
% 184.05/183.99 (~P1(f317(f317(f162(x117961),f103(x117961)),x117962))),
% 184.05/183.99 inference(rename_variables,[],[4616])).
% 184.05/183.99 cnf(11819,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x118191)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(11822,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x118221),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(11823,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x118231),f317(a102,x118231)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(11826,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x118261)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(11829,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x118291),x118292),f178(f906(x118291,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(11830,plain,
% 184.05/183.99 (P1(f317(f317(f319(f906(x118301,a895)),x118302),f317(f298(x118301),x118302)))),
% 184.05/183.99 inference(rename_variables,[],[3793])).
% 184.05/183.99 cnf(11845,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x118451)),x118451))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(11846,plain,
% 184.05/183.99 (~E(f317(a102,x118461),x118461)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11856,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x118561),x118562)),x118561))),
% 184.05/183.99 inference(rename_variables,[],[4632])).
% 184.05/183.99 cnf(11859,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x118591)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(11862,plain,
% 184.05/183.99 (~E(f317(a102,x118621),x118621)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(11875,plain,
% 184.05/183.99 (P1(f317(f317(f319(x118751),x118752),f317(f317(f299(x118751),x118752),x118753)))),
% 184.05/183.99 inference(rename_variables,[],[3741])).
% 184.05/183.99 cnf(11876,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x118761)))))),
% 184.05/183.99 inference(rename_variables,[],[4633])).
% 184.05/183.99 cnf(11879,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),f317(f317(f3(a899),x118791),x118792)),f317(a102,x118791)))),
% 184.05/183.99 inference(rename_variables,[],[3879])).
% 184.05/183.99 cnf(11882,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f40(a899,x118821,x118822)),x118821))),
% 184.05/183.99 inference(rename_variables,[],[3884])).
% 184.05/183.99 cnf(11888,plain,
% 184.05/183.99 (E(f317(f274(x118881,x118881),f253(x118881,x118882)),x118882)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(11893,plain,
% 184.05/183.99 (E(f317(f317(f124(x118931),f159(x118931,x118932,x118933)),f159(x118931,x118934,x118933)),f317(f317(f124(x118931),f159(x118931,x118934,x118933)),f159(x118931,x118932,x118933)))),
% 184.05/183.99 inference(rename_variables,[],[3991])).
% 184.05/183.99 cnf(11898,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x118981)),x118981))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(11907,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x119071),x119071))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(11910,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f40(a899,x119101,x119102)),x119101))),
% 184.05/183.99 inference(rename_variables,[],[3884])).
% 184.05/183.99 cnf(11911,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x119111))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(11913,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a1),f72(a1)),f2(a1)))),
% 184.05/183.99 inference(scs_inference,[],[3669,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,3356,4582,10633,10733,11197,3049,3050,3052,3053,3060,3061,3073,3079,3085,3097,3108,3118,3119,3127,3163,3171,3175,3176,3178,3192,3195,3196,3198,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3886,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,3879,3420,3514,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,4624,11751,11782,11819,11826,3866,3638,4009,3464,3466,3439,4610,4584,3622,4625,4194,11519,3751,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,3437,10588,10644,10878,10972,11091,3438,4609,10478,10507,11016,11055,11064,3585,10738,10829,11099,11143,11377,11380,11459,11541,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,4617,10458,10848,10851,11346,11362,11845,3457,10896,11049,11119,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,4635,10652,4297,4205,3907,4631,10483,10486,10854,10857,4632,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884])).
% 184.05/183.99 cnf(11928,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x119281),x119281))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(11931,plain,
% 184.05/183.99 (P1(f317(f317(f319(x119311),f317(x119312,x119313)),f317(f300(x119314,x119311,x119312),f232(f906(x119314,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(11932,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x119321)),x119321))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(11935,plain,
% 184.05/183.99 (P1(f317(f317(f319(x119351),f317(x119352,x119353)),f317(f300(x119354,x119351,x119352),f232(f906(x119354,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(11936,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x119361),x119362)),x119362))),
% 184.05/183.99 inference(rename_variables,[],[4631])).
% 184.05/183.99 cnf(11941,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x119411),x119412)),x119411))),
% 184.05/183.99 inference(rename_variables,[],[4632])).
% 184.05/183.99 cnf(11944,plain,
% 184.05/183.99 (~P1(f317(f317(f162(x119441),f103(x119441)),x119442))),
% 184.05/183.99 inference(rename_variables,[],[4616])).
% 184.05/183.99 cnf(11947,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x119471),x119471))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(11955,plain,
% 184.05/183.99 (~P34(x119551,x119552,f103(x119551))),
% 184.05/183.99 inference(rename_variables,[],[4596])).
% 184.05/183.99 cnf(11958,plain,
% 184.05/183.99 (P1(f317(f317(f319(x119581),x119582),f232(f906(x119581,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3585])).
% 184.05/183.99 cnf(11959,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x119591)),x119591))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(11972,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x119721),x119722),f178(f906(x119721,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(11975,plain,
% 184.05/183.99 (E(f317(f317(f18(x119751,x119752),x119753),x119754),x119753)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(11978,plain,
% 184.05/183.99 (E(f317(f317(f18(x119781,x119782),x119783),x119784),x119783)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(11990,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),f2(a899)),f317(a102,x119901)))),
% 184.05/183.99 inference(rename_variables,[],[3514])).
% 184.05/183.99 cnf(11993,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x119931),x119931))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(11998,plain,
% 184.05/183.99 (P1(f317(f28(x119981),f317(f162(x119981),x119982)))),
% 184.05/183.99 inference(rename_variables,[],[3476])).
% 184.05/183.99 cnf(12001,plain,
% 184.05/183.99 (P1(f317(f28(x120011),f317(f162(x120011),x120012)))),
% 184.05/183.99 inference(rename_variables,[],[3476])).
% 184.05/183.99 cnf(12004,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x120041))),f317(f90(a1),x120042)))),
% 184.05/183.99 inference(rename_variables,[],[3908])).
% 184.05/183.99 cnf(12007,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x120071),x120072),f178(f906(x120071,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12025,plain,
% 184.05/183.99 (~P1(f317(f317(f319(a899),x120251),f317(f272(a899),f2(a899))))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3073,3079,3085,3097,3108,3118,3119,3127,3163,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3886,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,4624,11751,11782,11819,11826,3866,3638,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,3437,10588,10644,10878,10972,11091,3438,3510,4609,10478,10507,11016,11055,11064,11907,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,3457,10896,11049,11119,3908,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248])).
% 184.05/183.99 cnf(12027,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f40(a899,x120271,f178(a899))),x120271))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3073,3079,3085,3097,3108,3118,3119,3127,3163,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3886,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,4624,11751,11782,11819,11826,3866,3638,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,3437,10588,10644,10878,10972,11091,11727,3438,3510,4609,10478,10507,11016,11055,11064,11907,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,3457,10896,11049,11119,3908,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280])).
% 184.05/183.99 cnf(12028,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x120281),x120281))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12031,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x120311),f317(a102,x120311)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12034,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x120341),x120341))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12045,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x120451),x120451))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12048,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x120481),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12053,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x120531),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12062,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x120621))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(12063,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x120631)),x120631))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12066,plain,
% 184.05/183.99 (~P1(f317(f317(f162(x120661),f103(x120661)),x120662))),
% 184.05/183.99 inference(rename_variables,[],[4616])).
% 184.05/183.99 cnf(12069,plain,
% 184.05/183.99 (~P1(f317(f317(f162(x120691),f103(x120691)),x120692))),
% 184.05/183.99 inference(rename_variables,[],[4616])).
% 184.05/183.99 cnf(12075,plain,
% 184.05/183.99 (~P1(f317(f317(f277(a899),f317(a102,f317(f317(f74(a899),f317(a102,f2(a899))),x120751))),f317(a102,f2(a899))))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3073,3079,3085,3097,3105,3108,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3886,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,4624,11751,11782,11819,11826,3866,3638,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,3437,10588,10644,10878,10972,11091,11727,12028,12034,3438,3510,4609,10478,10507,11016,11055,11064,11907,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,3457,10896,11049,11119,11911,3908,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503])).
% 184.05/183.99 cnf(12077,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x120771),f317(a102,x120771)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12089,plain,
% 184.05/183.99 (P1(f317(f317(f225(a1),f317(f73(a1),f72(a1))),f2(a1)))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3067,3073,3079,3085,3097,3105,3108,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3886,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,4624,11751,11782,11819,11826,11859,3866,3638,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4070,10881,4117,3793,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,3437,10588,10644,10878,10972,11091,11727,12028,12034,3438,3510,4609,10478,10507,11016,11055,11064,11907,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,3457,10896,11049,11119,11911,3908,4242,4614,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560])).
% 184.05/183.99 cnf(12092,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x120921)),x120921))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12095,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x120951)),x120951))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12098,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x120981)),x120981))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12101,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x121011)),x121011))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12104,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x121041),x121041))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12107,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x121071),x121071))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12110,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x121101),x121101))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12113,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x121131),x121131))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12130,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x121301),x121301))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12133,plain,
% 184.05/183.99 (P24(a899,a899,a102,x121331)),
% 184.05/183.99 inference(rename_variables,[],[3637])).
% 184.05/183.99 cnf(12136,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x121361),x121361))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12147,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x121471),x121471))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12150,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(f905(f900(x121501),f900(x121501)),a895)),f148(x121501,x121502)),f297(f900(x121501),f147(x121501,x121502))))),
% 184.05/183.99 inference(rename_variables,[],[4122])).
% 184.05/183.99 cnf(12157,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x121571),f317(a102,x121571)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12160,plain,
% 184.05/183.99 (P1(f317(f317(f319(f906(x121601,a895)),x121602),f317(f298(x121601),x121602)))),
% 184.05/183.99 inference(rename_variables,[],[3793])).
% 184.05/183.99 cnf(12161,plain,
% 184.05/183.99 (~E(f317(a102,x121611),x121611)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12166,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x121661),x121661))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12171,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x121711),x121711))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12178,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x121781,x121782)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(12185,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x121851,a895)),x121852),f317(f317(f299(x121851),x121853),x121852)))),
% 184.05/183.99 inference(rename_variables,[],[3874])).
% 184.05/183.99 cnf(12188,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x121881),x121881))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12189,plain,
% 184.05/183.99 (~E(f317(a102,x121891),x121891)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12202,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122021),x122021))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12203,plain,
% 184.05/183.99 (~E(f317(a102,x122031),x122031)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12206,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x122061),x122061))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12209,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x122091),x122091))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12212,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x122121),x122121))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12215,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x122151),x122151))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12218,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x122181),x122181))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12221,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122211),x122211))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12224,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122241),x122241))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12225,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x122251),f317(a102,x122251)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12232,plain,
% 184.05/183.99 (~E(f317(a102,x122321),x122321)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12237,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122371),x122371))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12238,plain,
% 184.05/183.99 (~E(f317(a102,x122381),x122381)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12241,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x122411),x122411))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12258,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x122581),x122581))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(12263,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x122631))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(12279,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122791),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12282,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122821),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12285,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x122851),x122852),f178(f906(x122851,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12288,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x122881),x122882),f178(f906(x122881,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12291,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122911),x122911))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12293,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122931),f317(f317(f228(a899),x122931),x122932)))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,3637,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3067,3073,3079,3085,3097,3105,3108,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4122,4070,10881,4117,3793,11830,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,3510,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,3457,10896,11049,11119,11911,12062,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,11186,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,47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% 184.05/183.99 cnf(12294,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122941),x122941))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12296,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122961),f317(f317(f92(a899),x122962),x122961)))),
% 184.05/183.99 inference(scs_inference,[],[3669,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,3637,3356,4582,10633,10733,11197,3049,3050,3052,3053,3056,3060,3061,3067,3073,3079,3085,3097,3105,3108,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,3879,11879,3420,3514,11708,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4122,4070,10881,4117,3793,11830,4151,3810,10596,10693,11246,11327,11406,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,3510,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,3457,10896,11049,11119,11911,12062,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,11186,3725,11302,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159])).
% 184.05/183.99 cnf(12297,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x122971),x122971))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12300,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x123001),x123001))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12303,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x123031),f317(a102,x123031)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12310,plain,
% 184.05/183.99 (P1(f317(f317(f319(f906(x123101,a895)),x123102),f317(f298(x123101),x123102)))),
% 184.05/183.99 inference(rename_variables,[],[3793])).
% 184.05/183.99 cnf(12315,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x123151,a895)),x123152),f317(f317(f299(x123151),x123153),x123152)))),
% 184.05/183.99 inference(rename_variables,[],[3874])).
% 184.05/183.99 cnf(12322,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x123221),x123222),f178(f906(x123221,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12331,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x123311,a895)),x123312),f232(f906(x123311,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12332,plain,
% 184.05/183.99 (~E(f317(a102,x123321),x123321)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12338,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x123381),f317(a102,x123381)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12347,plain,
% 184.05/183.99 (E(f317(f274(x123471,x123471),f253(x123471,x123472)),x123472)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12358,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x123581)),x123581))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(12359,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x123591),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12364,plain,
% 184.05/183.99 (P1(f317(f28(x123641),f178(f906(x123641,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(12365,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x123651),x123652),f178(f906(x123651,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12372,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x123721,a895)),f317(f162(x123721),f166(x123721,x123722,x123723))),f317(f162(x123721),x123722)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(12375,plain,
% 184.05/183.99 (P24(x123751,x123751,f7(x123751),x123752)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12380,plain,
% 184.05/183.99 (P1(f317(f317(f319(f906(x123801,a895)),x123802),f317(f298(x123801),x123802)))),
% 184.05/183.99 inference(rename_variables,[],[3793])).
% 184.05/183.99 cnf(12387,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x123871),x123871))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12390,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x123901),x123902),f178(f906(x123901,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12393,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x123931,a895)),x123932),f317(f317(f299(x123931),x123933),x123932)))),
% 184.05/183.99 inference(rename_variables,[],[3874])).
% 184.05/183.99 cnf(12394,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x123941,a895)),x123942),f232(f906(x123941,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12401,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x124011),x124011))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12404,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x124041),x124041))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12407,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x124071),x124071))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12410,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x124101),x124101))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12413,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x124131),f317(a102,x124131)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12416,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x124161),f317(a102,x124161)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12419,plain,
% 184.05/183.99 (P1(f317(f317(f277(a899),x124191),x124191))),
% 184.05/183.99 inference(rename_variables,[],[3438])).
% 184.05/183.99 cnf(12422,plain,
% 184.05/183.99 (P1(f317(f317(f277(a899),x124221),x124221))),
% 184.05/183.99 inference(rename_variables,[],[3438])).
% 184.05/183.99 cnf(12425,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x124251,a895)),x124252),x124252))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12432,plain,
% 184.05/183.99 (P1(f317(f317(f319(f906(x124321,a895)),x124322),f317(f298(x124321),x124322)))),
% 184.05/183.99 inference(rename_variables,[],[3793])).
% 184.05/183.99 cnf(12438,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f317(f74(a1),a77),a77)),f2(a1)))),
% 184.05/183.99 inference(scs_inference,[],[3669,11317,4595,4596,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,3637,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3073,3079,3085,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3491,11044,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,3792,4472,4473,4587,3729,3941,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,12001,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4122,4070,10881,4117,11249,3793,11830,12160,12310,12380,4151,3810,10596,10693,11246,11327,11406,11470,12331,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,3457,10896,11049,11119,11911,12062,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,11186,12185,12315,3725,11302,11424,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,4297,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806])).
% 184.05/183.99 cnf(12441,plain,
% 184.05/183.99 (~E(f317(a102,x124411),x124411)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12442,plain,
% 184.05/183.99 (E(f317(f300(x124421,x124421,f7(x124421)),x124422),x124422)),
% 184.05/183.99 inference(rename_variables,[],[3491])).
% 184.05/183.99 cnf(12445,plain,
% 184.05/183.99 (P31(x124451,x124452,f103(x124451),f103(x124451))),
% 184.05/183.99 inference(rename_variables,[],[3678])).
% 184.05/183.99 cnf(12448,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x124481,a895)),f317(f162(x124481),f166(x124481,x124482,x124483))),f317(f162(x124481),x124482)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(12449,plain,
% 184.05/183.99 (P1(f317(f28(x124491),f317(f162(x124491),x124492)))),
% 184.05/183.99 inference(rename_variables,[],[3476])).
% 184.05/183.99 cnf(12460,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x124601),x124601))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12463,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x124631),x124631))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12468,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x124681))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(12477,plain,
% 184.05/183.99 (P13(a899,f317(f158(a899),f317(f317(f144(f900(x124771),a899),f179(f900(x124771))),f169(x124771,x124772))))),
% 184.05/183.99 inference(rename_variables,[],[3987])).
% 184.05/183.99 cnf(12480,plain,
% 184.05/183.99 (P24(x124801,x124801,f7(x124801),x124802)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12483,plain,
% 184.05/183.99 (P24(x124831,x124831,f7(x124831),x124832)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12486,plain,
% 184.05/183.99 (P1(f317(f317(f319(f900(x124861)),f103(x124861)),f151(x124861,x124862)))),
% 184.05/183.99 inference(rename_variables,[],[3629])).
% 184.05/183.99 cnf(12489,plain,
% 184.05/183.99 (~P1(f317(f317(f178(f906(x124891,f906(x124892,a895))),x124893),x124894))),
% 184.05/183.99 inference(rename_variables,[],[4635])).
% 184.05/183.99 cnf(12494,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x124941),x124941))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12495,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x124951))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(12498,plain,
% 184.05/183.99 (~P1(f317(f317(f178(f906(x124981,f906(x124982,a895))),x124983),x124984))),
% 184.05/183.99 inference(rename_variables,[],[4635])).
% 184.05/183.99 cnf(12501,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(f905(f900(x125011),f900(x125011)),a895)),f148(x125011,x125012)),f297(f900(x125011),f147(x125011,x125012))))),
% 184.05/183.99 inference(rename_variables,[],[4122])).
% 184.05/183.99 cnf(12507,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125071,a895)),f317(f300(x125072,x125071,x125073),f317(f301(x125072,x125071,x125073),x125074))),x125074))),
% 184.05/183.99 inference(rename_variables,[],[4297])).
% 184.05/183.99 cnf(12510,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125101,a895)),f317(f162(x125101),f166(x125101,x125102,x125103))),f317(f162(x125101),x125102)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(12511,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125111,a895)),f317(f162(x125111),f317(f126(x125111,x125112),x125113))),f317(f162(x125111),x125113)))),
% 184.05/183.99 inference(rename_variables,[],[4070])).
% 184.05/183.99 cnf(12514,plain,
% 184.05/183.99 (~P1(f317(f317(f225(f906(x125141,a895)),x125142),f178(f906(x125141,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4628])).
% 184.05/183.99 cnf(12522,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125221,a895)),f317(f300(x125222,x125221,x125223),f317(f301(x125222,x125221,x125223),x125224))),x125224))),
% 184.05/183.99 inference(rename_variables,[],[4297])).
% 184.05/183.99 cnf(12527,plain,
% 184.05/183.99 (P1(f317(f317(f319(f900(x125271)),f103(x125271)),f151(x125271,x125272)))),
% 184.05/183.99 inference(rename_variables,[],[3629])).
% 184.05/183.99 cnf(12530,plain,
% 184.05/183.99 (~P1(f317(f317(f319(f905(f900(x125301),f900(x125301))),f317(f317(f242(f900(x125301),f900(x125301)),x125302),f103(x125301))),f135(x125301,x125303)))),
% 184.05/183.99 inference(rename_variables,[],[4637])).
% 184.05/183.99 cnf(12533,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x125331),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12535,plain,
% 184.05/183.99 (~P1(f317(f28(x125351),f232(f906(x125351,a895))))),
% 184.05/183.99 inference(scs_inference,[],[3669,11317,12375,12480,3678,3685,3406,4595,4596,3305,3308,4594,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,3637,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3290,3278,3279,3898,3315,3491,11044,11171,3366,4059,4589,10461,10630,3427,11975,4618,11223,11322,11558,11561,3538,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,4637,11146,11387,11496,11522,11566,11572,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,3792,4472,4473,4587,3729,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,12001,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4122,12150,12501,4070,10881,4117,11249,12372,12448,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,4027,11592,11931,3874,11162,11168,11186,12185,12315,3725,11302,11424,12425,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,10765,12489,4297,11035,12507,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298])).
% 184.05/183.99 cnf(12536,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125361,a895)),x125362),x125362))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12539,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x125391),x125392),f178(f906(x125391,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12542,plain,
% 184.05/183.99 (~P1(f317(f317(f178(f906(x125421,f906(x125422,a895))),x125423),x125424))),
% 184.05/183.99 inference(rename_variables,[],[4635])).
% 184.05/183.99 cnf(12545,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125451,a895)),f317(f300(x125452,x125451,x125453),f317(f301(x125452,x125451,x125453),x125454))),x125454))),
% 184.05/183.99 inference(rename_variables,[],[4297])).
% 184.05/183.99 cnf(12546,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125461,a895)),x125462),x125462))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12551,plain,
% 184.05/183.99 (E(f317(f274(x125511,x125511),f253(x125511,x125512)),x125512)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12554,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x125541,a895)),f317(f162(x125541),f166(x125541,x125542,x125543))),f317(f162(x125541),x125542)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(12555,plain,
% 184.05/183.99 (P1(f317(f28(x125551),f317(f162(x125551),x125552)))),
% 184.05/183.99 inference(rename_variables,[],[3476])).
% 184.05/183.99 cnf(12558,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x125581),x125581))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12561,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x125611),x125611))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12564,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x125641),x125641))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12575,plain,
% 184.05/183.99 (P24(x125751,x125751,f7(x125751),x125752)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12583,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x125831),x125832),f178(f906(x125831,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12586,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(x125861,x125861)),f317(f317(f242(x125861,x125861),x125862),x125862)),f297(x125861,x125863)))),
% 184.05/183.99 inference(rename_variables,[],[4061])).
% 184.05/183.99 cnf(12589,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x125891),x125892),f178(f906(x125891,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12592,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(x125921,x125921)),f317(f317(f242(x125921,x125921),x125922),x125922)),f297(x125921,x125923)))),
% 184.05/183.99 inference(rename_variables,[],[4061])).
% 184.05/183.99 cnf(12602,plain,
% 184.05/183.99 (~E(f317(f317(f141(x126021),x126022),x126023),x126023)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(12604,plain,
% 184.05/183.99 (~P25(a899,a899,x126041,f232(f906(a899,a895)),f296(a899,x126042,x126043))),
% 184.05/183.99 inference(scs_inference,[],[3669,11317,12375,12480,12483,3678,3685,3406,4595,4596,3305,3308,4594,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,3637,12133,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3746,3290,3278,3279,3898,3315,3491,11044,11171,3366,4059,4589,10461,10630,11502,3427,11975,4618,11223,11322,11558,11561,3538,4598,3330,10531,10863,3331,3590,3249,3352,11639,4201,4061,11243,11374,11433,12586,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,3792,3578,4472,4473,4587,11632,3729,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3622,4625,4194,11519,3751,3476,11998,12001,12449,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,4163,4122,12150,12501,4070,10881,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,3874,11162,11168,11186,12185,12315,3725,11302,11424,12425,12536,3876,10899,11265,11430,11464,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,10765,12489,12498,4297,11035,12507,12522,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785])).
% 184.05/183.99 cnf(12609,plain,
% 184.05/183.99 (P1(f317(f317(f319(x126091),x126092),f232(f906(x126091,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3585])).
% 184.05/183.99 cnf(12610,plain,
% 184.05/183.99 (~E(f317(a102,x126101),x126101)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12613,plain,
% 184.05/183.99 (P1(f317(f317(f319(f900(x126131)),f103(x126131)),f151(x126131,x126132)))),
% 184.05/183.99 inference(rename_variables,[],[3629])).
% 184.05/183.99 cnf(12614,plain,
% 184.05/183.99 (~E(f317(f317(f141(x126141),x126142),x126143),f103(x126141))),
% 184.05/183.99 inference(rename_variables,[],[4592])).
% 184.05/183.99 cnf(12617,plain,
% 184.05/183.99 (P24(x126171,x126171,f7(x126171),x126172)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12620,plain,
% 184.05/183.99 (P1(f317(f317(f319(x126201),f317(x126202,x126203)),f317(f300(x126204,x126201,x126202),f232(f906(x126204,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(12621,plain,
% 184.05/183.99 (P24(x126211,x126211,f7(x126211),x126212)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12624,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126241,a895)),f178(f906(x126241,a895))),x126242))),
% 184.05/183.99 inference(rename_variables,[],[3876])).
% 184.05/183.99 cnf(12625,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126251,a895)),x126252),x126252))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12628,plain,
% 184.05/183.99 (P1(f317(f317(f319(x126281),f317(x126282,x126283)),f317(f300(x126284,x126281,x126282),f232(f906(x126284,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(12629,plain,
% 184.05/183.99 (P24(x126291,x126291,f7(x126291),x126292)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12632,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(f900(x126321),f900(x126321))),f317(f317(f242(f900(x126321),f900(x126321)),f103(x126321)),f103(x126321))),f148(x126321,x126322)))),
% 184.05/183.99 inference(rename_variables,[],[4201])).
% 184.05/183.99 cnf(12636,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x126361),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12642,plain,
% 184.05/183.99 (E(f317(f317(f124(x126421),x126422),f103(x126421)),x126422)),
% 184.05/183.99 inference(rename_variables,[],[3367])).
% 184.05/183.99 cnf(12643,plain,
% 184.05/183.99 (~E(f317(f317(f141(x126431),x126432),x126433),x126433)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(12646,plain,
% 184.05/183.99 (E(f317(f317(f124(x126461),x126462),f103(x126461)),x126462)),
% 184.05/183.99 inference(rename_variables,[],[3367])).
% 184.05/183.99 cnf(12647,plain,
% 184.05/183.99 (~E(f317(f317(f141(x126471),x126472),x126473),x126473)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(12650,plain,
% 184.05/183.99 (E(f317(f317(f124(x126501),x126502),f103(x126501)),x126502)),
% 184.05/183.99 inference(rename_variables,[],[3367])).
% 184.05/183.99 cnf(12657,plain,
% 184.05/183.99 (P51(x126571,f253(x126571,x126572))),
% 184.05/183.99 inference(rename_variables,[],[3309])).
% 184.05/183.99 cnf(12660,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126601,a895)),f317(f162(x126601),f317(f126(x126601,x126602),x126603))),f317(f162(x126601),x126603)))),
% 184.05/183.99 inference(rename_variables,[],[4070])).
% 184.05/183.99 cnf(12661,plain,
% 184.05/183.99 (E(f317(f300(x126611,x126611,f7(x126611)),x126612),x126612)),
% 184.05/183.99 inference(rename_variables,[],[3491])).
% 184.05/183.99 cnf(12666,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126661,a895)),x126662),f232(f906(x126661,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12670,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x126701),x126701))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12671,plain,
% 184.05/183.99 (~E(f317(a102,x126711),x126711)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12674,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126741,a895)),f178(f906(x126741,a895))),x126742))),
% 184.05/183.99 inference(rename_variables,[],[3876])).
% 184.05/183.99 cnf(12677,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x126771),x126771))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12680,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126801,a895)),x126802),x126802))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12685,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126851,a895)),x126852),f317(f317(f299(x126851),x126853),x126852)))),
% 184.05/183.99 inference(rename_variables,[],[3874])).
% 184.05/183.99 cnf(12688,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x126881,a895)),x126882),x126882))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12689,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x126891),x126892),f178(f906(x126891,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12692,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x126921),x126922),f178(f906(x126921,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12700,plain,
% 184.05/183.99 (~P1(f317(f317(f224(f906(f905(x127001,x127001),a895)),f317(f300(f905(x127001,x127001),f905(x127001,x127001),f7(f905(x127001,x127001))),f232(f906(f905(x127001,x127001),a895)))),f317(f300(f905(x127001,x127001),f905(x127001,x127001),f7(f905(x127001,x127001))),f178(f906(f905(x127001,x127001),a895)))))),
% 184.05/183.99 inference(scs_inference,[],[3669,11317,12375,12480,12483,12575,12617,12621,12629,3678,3685,3406,4595,4596,3305,3308,3309,4594,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,3490,3637,12133,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,3367,12642,12646,3373,3382,3886,4187,3271,3631,3977,11649,3333,3267,3295,3746,3290,3278,3279,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,4592,12614,3427,11975,4618,11223,11322,11558,11561,3538,4598,3330,10531,10863,3331,3590,3249,3352,11639,4201,12632,4061,11243,11374,11433,12586,12592,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,4587,11632,3729,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3818,3622,4625,4194,11519,3751,3476,11998,12001,12449,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,3495,10860,10893,10902,10905,10908,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,3876,10899,11265,11430,11464,11475,12624,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,10765,12489,12498,4297,11035,12507,12522,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328])).
% 184.05/183.99 cnf(12701,plain,
% 184.05/183.99 (P24(x127011,x127011,f7(x127011),x127012)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12704,plain,
% 184.05/183.99 (E(f317(f179(f900(x127041)),f159(x127041,x127042,x127043)),x127042)),
% 184.05/183.99 inference(rename_variables,[],[3501])).
% 184.05/183.99 cnf(12707,plain,
% 184.05/183.99 (P25(x127071,x127071,f25(x127071),x127072,x127072)),
% 184.05/183.99 inference(rename_variables,[],[4085])).
% 184.05/183.99 cnf(12710,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x127101),x127101))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12711,plain,
% 184.05/183.99 (P1(f317(f232(f906(x127111,a895)),x127112))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(12714,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x127141,a895)),f178(f906(x127141,a895))),x127142))),
% 184.05/183.99 inference(rename_variables,[],[3876])).
% 184.05/183.99 cnf(12717,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x127171),x127172),f178(f906(x127171,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12720,plain,
% 184.05/183.99 (P1(f317(f317(f319(x127201),f317(x127202,x127203)),f317(f300(x127204,x127201,x127202),f232(f906(x127204,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(12721,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(x127211,x127211)),f317(f317(f242(x127211,x127211),x127212),x127212)),f297(x127211,x127213)))),
% 184.05/183.99 inference(rename_variables,[],[4061])).
% 184.05/183.99 cnf(12724,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(x127241,x127241)),f317(f317(f242(x127241,x127241),x127242),x127242)),f297(x127241,x127243)))),
% 184.05/183.99 inference(rename_variables,[],[4061])).
% 184.05/183.99 cnf(12727,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x127271),x127271))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(12728,plain,
% 184.05/183.99 (P1(f317(f232(f906(x127281,a895)),x127282))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(12731,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x127311,a895)),x127312),f232(f906(x127311,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12732,plain,
% 184.05/183.99 (P25(x127321,x127321,f25(x127321),x127322,x127322)),
% 184.05/183.99 inference(rename_variables,[],[4085])).
% 184.05/183.99 cnf(12735,plain,
% 184.05/183.99 (P1(f317(f28(x127351),f317(f162(x127351),x127352)))),
% 184.05/183.99 inference(rename_variables,[],[3476])).
% 184.05/183.99 cnf(12740,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(f900(x127401),f900(x127401))),f317(f317(f242(f900(x127401),f900(x127401)),f103(x127401)),f103(x127401))),f317(f317(f279(f900(x127401),f900(x127401),f900(x127401)),f148(x127401,x127402)),f148(x127401,x127402))))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,3669,11317,12375,12480,12483,12575,12617,12621,12629,3678,3685,3406,4595,4596,3305,3308,3309,4594,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,3490,3637,12133,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,3367,12642,12646,12650,3373,3382,3886,4187,3501,3271,3631,3977,11649,3333,3267,3295,3746,3290,3278,3279,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,4592,12614,3427,11975,4618,11223,11322,11558,11561,3538,4598,3330,10531,10863,3331,3590,3249,3352,11639,4201,12632,4061,11243,11374,11433,12586,12592,12721,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,4587,11632,3729,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3818,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,3495,10860,10893,10902,10905,10908,11488,12711,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,3876,10899,11265,11430,11464,11475,12624,12674,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,10765,12489,12498,4297,11035,12507,12522,4205,3907,3852,4631,10483,10486,10854,10857,11748,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581])).
% 184.05/183.99 cnf(12745,plain,
% 184.05/183.99 (~P1(f317(f317(f178(f906(x127451,f906(x127452,a895))),x127453),x127454))),
% 184.05/183.99 inference(rename_variables,[],[4635])).
% 184.05/183.99 cnf(12751,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x127511,a895)),x127512),f232(f906(x127511,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12754,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(x127541,x127541)),f317(f317(f242(x127541,x127541),x127542),x127542)),f297(x127541,x127543)))),
% 184.05/183.99 inference(rename_variables,[],[4061])).
% 184.05/183.99 cnf(12757,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x127571),x127572)),x127572))),
% 184.05/183.99 inference(rename_variables,[],[4631])).
% 184.05/183.99 cnf(12758,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x127581),f317(a102,x127581)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(12761,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x127611,a895)),x127612),f232(f906(x127611,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(12764,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x127641,a895)),f178(f906(x127641,a895))),x127642))),
% 184.05/183.99 inference(rename_variables,[],[3876])).
% 184.05/183.99 cnf(12767,plain,
% 184.05/183.99 (E(f317(f274(x127671,x127671),f253(x127671,x127672)),x127672)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12778,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x127781),x127782),f178(f906(x127781,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12779,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(f900(x127791),f900(x127791))),f317(f317(f242(f900(x127791),f900(x127791)),f103(x127791)),f103(x127791))),f148(x127791,x127792)))),
% 184.05/183.99 inference(rename_variables,[],[4201])).
% 184.05/183.99 cnf(12781,plain,
% 184.05/183.99 (P1(f317(f317(f319(f905(a899,a899)),f317(f317(f242(a899,a899),f2(a899)),f317(a102,f2(a899)))),f317(f317(f279(a899,a899,a899),f297(a899,a307)),f297(a899,f297(a899,a307)))))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,3669,11317,12375,12480,12483,12575,12617,12621,12629,3678,3685,3406,4595,4596,3305,3308,3309,4594,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,3490,3637,12133,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3195,3196,3198,3201,3206,3207,3217,3232,4574,3766,3991,11893,3281,11603,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,3367,12642,12646,12650,3373,3382,3886,4187,3501,3271,3631,3977,11649,3333,3267,3295,3746,3290,3278,3279,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,4592,12614,3427,11975,4618,11223,11322,11558,11561,3538,4598,3330,10531,10863,3331,3590,3249,3352,11639,4201,12632,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,4587,11632,3729,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,4624,11751,11782,11819,11826,11859,3866,3638,3640,4009,3464,3466,3439,4610,3294,4584,3818,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,3495,10860,10893,10902,10905,10908,11488,12711,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,4242,4614,3919,3953,4601,4604,3412,3417,4603,3413,4602,3741,4336,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,3586,3692,10812,10815,10911,11075,4633,11876,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,4205,3907,3852,4631,10483,10486,10854,10857,11748,11936,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700])).
% 184.05/183.99 cnf(12784,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x127841),x127842),f178(f906(x127841,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12789,plain,
% 184.05/183.99 (P30(x127891,x127892,f103(x127891))),
% 184.05/183.99 inference(rename_variables,[],[3372])).
% 184.05/183.99 cnf(12792,plain,
% 184.05/183.99 (E(f317(f179(f900(x127921)),f159(x127921,x127922,x127923)),x127922)),
% 184.05/183.99 inference(rename_variables,[],[3501])).
% 184.05/183.99 cnf(12795,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x127951),x127952),f178(f906(x127951,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12801,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x128011),x128011))),
% 184.05/183.99 inference(rename_variables,[],[4609])).
% 184.05/183.99 cnf(12804,plain,
% 184.05/183.99 (P1(f317(f317(f319(x128041),x128042),f232(f906(x128041,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3585])).
% 184.05/183.99 cnf(12808,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x128081,a895)),x128082),x128082))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(12811,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x128111),x128112),f178(f906(x128111,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(12814,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x128141)),x128142)))),
% 184.05/183.99 inference(rename_variables,[],[3907])).
% 184.05/183.99 cnf(12817,plain,
% 184.05/183.99 (~E(f317(a102,x128171),x128171)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(12819,plain,
% 184.05/183.99 (E(f317(f274(x128191,x128191),f253(x128191,x128192)),x128192)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12821,plain,
% 184.05/183.99 (E(f317(f274(x128211,x128211),f253(x128211,x128212)),x128212)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12823,plain,
% 184.05/183.99 (P51(x128231,f253(x128231,x128232))),
% 184.05/183.99 inference(rename_variables,[],[3309])).
% 184.05/183.99 cnf(12831,plain,
% 184.05/183.99 (P36(x128311,f143(x128311,x128312))),
% 184.05/183.99 inference(rename_variables,[],[3305])).
% 184.05/183.99 cnf(12840,plain,
% 184.05/183.99 (E(f317(f274(x128401,x128401),f253(x128401,x128402)),x128402)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12846,plain,
% 184.05/183.99 (E(f317(f274(x128461,x128461),f253(x128461,x128462)),x128462)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12848,plain,
% 184.05/183.99 (E(f317(f274(x128481,x128481),f253(x128481,x128482)),x128482)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12850,plain,
% 184.05/183.99 (P24(x128501,x128501,f7(x128501),x128502)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12852,plain,
% 184.05/183.99 (P24(x128521,x128521,f7(x128521),x128522)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(12859,plain,
% 184.05/183.99 (P37(x128591,f253(x128591,x128592))),
% 184.05/183.99 inference(rename_variables,[],[3306])).
% 184.05/183.99 cnf(12867,plain,
% 184.05/183.99 (E(f317(f274(x128671,x128671),f253(x128671,x128672)),x128672)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12869,plain,
% 184.05/183.99 (P54(x128691,x128691,f253(x128691,x128692))),
% 184.05/183.99 inference(rename_variables,[],[3406])).
% 184.05/183.99 cnf(12879,plain,
% 184.05/183.99 (P25(x128791,x128791,f25(x128791),x128792,x128792)),
% 184.05/183.99 inference(rename_variables,[],[4085])).
% 184.05/183.99 cnf(12881,plain,
% 184.05/183.99 (P25(x128811,x128811,f25(x128811),x128812,x128812)),
% 184.05/183.99 inference(rename_variables,[],[4085])).
% 184.05/183.99 cnf(12883,plain,
% 184.05/183.99 (P25(x128831,x128831,f25(x128831),x128832,x128832)),
% 184.05/183.99 inference(rename_variables,[],[4085])).
% 184.05/183.99 cnf(12888,plain,
% 184.05/183.99 (E(f317(f274(x128881,x128881),f253(x128881,x128882)),x128882)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12890,plain,
% 184.05/183.99 (P55(x128901,f178(f906(x128901,a895)),x128902)),
% 184.05/183.99 inference(rename_variables,[],[3455])).
% 184.05/183.99 cnf(12896,plain,
% 184.05/183.99 (P41(x128961,x128962,x128963,x128964,f178(f906(x128961,a895)),x128964)),
% 184.05/183.99 inference(rename_variables,[],[4358])).
% 184.05/183.99 cnf(12908,plain,
% 184.05/183.99 (E(f317(f274(x129081,x129081),f253(x129081,x129082)),x129082)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12912,plain,
% 184.05/183.99 (E(f178(f906(f905(x129121,x129121),a895)),f253(x129121,f178(f906(x129121,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3505])).
% 184.05/183.99 cnf(12914,plain,
% 184.05/183.99 (E(f317(f274(x129141,x129141),f253(x129141,x129142)),x129142)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12916,plain,
% 184.05/183.99 (P14(x129161,f906(x129161,a895),f299(x129161))),
% 184.05/183.99 inference(rename_variables,[],[3409])).
% 184.05/183.99 cnf(12922,plain,
% 184.05/183.99 (P31(x129221,x129222,f103(x129221),f103(x129221))),
% 184.05/183.99 inference(rename_variables,[],[3678])).
% 184.05/183.99 cnf(12924,plain,
% 184.05/183.99 (P31(x129241,x129242,f103(x129241),f103(x129241))),
% 184.05/183.99 inference(rename_variables,[],[3678])).
% 184.05/183.99 cnf(12932,plain,
% 184.05/183.99 (P52(x129321,x129322,f253(x129321,x129322))),
% 184.05/183.99 inference(rename_variables,[],[3405])).
% 184.05/183.99 cnf(12934,plain,
% 184.05/183.99 (P52(x129341,x129342,f253(x129341,x129342))),
% 184.05/183.99 inference(rename_variables,[],[3405])).
% 184.05/183.99 cnf(12936,plain,
% 184.05/183.99 (P52(x129361,x129362,f253(x129361,x129362))),
% 184.05/183.99 inference(rename_variables,[],[3405])).
% 184.05/183.99 cnf(12942,plain,
% 184.05/183.99 (E(f178(f906(f905(x129421,x129421),a895)),f253(x129421,f178(f906(x129421,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3505])).
% 184.05/183.99 cnf(12951,plain,
% 184.05/183.99 (E(f317(f274(x129511,x129511),f253(x129511,x129512)),x129512)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(12963,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x129631),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12972,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x129721)),f317(f73(a1),f317(f90(a1),x129722))))),
% 184.05/183.99 inference(rename_variables,[],[4629])).
% 184.05/183.99 cnf(12982,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x129821),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12985,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x129851),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(12988,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x129881,x129882)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(12991,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x129911,x129912)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(12994,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x129941,x129942)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(12997,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x129971,x129972)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13004,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x130041))),f317(f90(a1),x130042)))),
% 184.05/183.99 inference(rename_variables,[],[3908])).
% 184.05/183.99 cnf(13009,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x130091),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13010,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x130101),x130101))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13017,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x130171),f317(a102,x130171)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13019,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f2(a1)),a77))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3193,3195,3196,3198,3201,3206,3207,3217,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,3367,12642,12646,12650,3373,3382,3886,4187,3501,12704,12792,3271,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,4017,4618,11223,11322,11558,11561,3827,3538,3752,4598,3505,12912,12942,3330,10531,10863,3331,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3650,4587,11632,3770,3729,3772,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,4624,11751,11782,11819,11826,11859,3866,3638,3640,12178,12988,12991,12994,4009,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,3495,10860,10893,10902,10905,10908,11488,12711,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,12004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,3741,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,12688,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,4205,3907,3852,3853,4631,10483,10486,10854,10857,11748,11936,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,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% 184.05/183.99 cnf(13022,plain,
% 184.05/183.99 (~E(f317(a102,x130221),f2(a899))),
% 184.05/183.99 inference(rename_variables,[],[4582])).
% 184.05/183.99 cnf(13024,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f2(a1))))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3072,3073,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3163,3167,3171,3175,3176,3178,3192,3193,3195,3196,3198,3201,3206,3207,3217,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,3367,12642,12646,12650,3373,3382,3886,4187,3501,12704,12792,3271,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,4017,4618,11223,11322,11558,11561,3827,3538,3752,4598,3505,12912,12942,3330,10531,10863,3331,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3650,4587,11632,3770,3729,3772,3941,3987,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,4624,11751,11782,11819,11826,11859,3866,3638,3640,12178,12988,12991,12994,4009,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,3438,12419,3510,12364,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,3495,10860,10893,10902,10905,10908,11488,12711,3534,3527,3945,3884,10510,11882,11910,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,3908,12004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,3741,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,12688,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,4205,3907,3852,3853,4631,10483,10486,10854,10857,11748,11936,4632,11856,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425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% 184.05/183.99 cnf(13027,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x130271),x130271))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13030,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x130301,x130302)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13033,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x130331,x130332)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13036,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x130361),x130361))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13053,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f40(a899,x130531,x130532)),x130531))),
% 184.05/183.99 inference(rename_variables,[],[3884])).
% 184.05/183.99 cnf(13058,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x130581),f317(a102,x130581)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13061,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x130611),f317(a102,x130611)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13062,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x130621),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13071,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x130711)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(13072,plain,
% 184.05/183.99 (P1(f317(f232(f906(x130721,a895)),x130722))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(13075,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f317(f90(a1),x130751)),f2(a1)))),
% 184.05/183.99 inference(rename_variables,[],[4624])).
% 184.05/183.99 cnf(13076,plain,
% 184.05/183.99 (P1(f317(f232(f906(x130761,a895)),x130762))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(13079,plain,
% 184.05/183.99 (P1(f317(f232(f906(x130791,a895)),x130792))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(13082,plain,
% 184.05/183.99 (P1(f317(f232(f906(x130821,a895)),x130822))),
% 184.05/183.99 inference(rename_variables,[],[3495])).
% 184.05/183.99 cnf(13090,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x130901),x130902),f178(f906(x130901,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13091,plain,
% 184.05/183.99 (P1(f317(f28(x130911),f178(f906(x130911,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13094,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x130941),x130941))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13103,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x131031))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(13106,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x131061),x131062),f178(f906(x131061,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13109,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x131091),x131092),f178(f906(x131091,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13114,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131141),x131141))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13122,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x131221),f317(a102,x131221)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13125,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131251),x131251))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13130,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131301),x131301))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13133,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131331),x131331))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13136,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131361),x131361))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13139,plain,
% 184.05/183.99 (E(f317(f317(f3(f906(x131391,a895)),f178(f906(x131391,a895))),x131392),f178(f906(x131391,a895)))),
% 184.05/183.99 inference(rename_variables,[],[3696])).
% 184.05/183.99 cnf(13140,plain,
% 184.05/183.99 (P1(f317(f28(x131401),f178(f906(x131401,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13143,plain,
% 184.05/183.99 (E(f317(f317(f3(f906(x131431,a895)),f178(f906(x131431,a895))),x131432),f178(f906(x131431,a895)))),
% 184.05/183.99 inference(rename_variables,[],[3696])).
% 184.05/183.99 cnf(13144,plain,
% 184.05/183.99 (P1(f317(f28(x131441),f178(f906(x131441,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13147,plain,
% 184.05/183.99 (E(f317(f317(f3(f906(x131471,a895)),f178(f906(x131471,a895))),x131472),f178(f906(x131471,a895)))),
% 184.05/183.99 inference(rename_variables,[],[3696])).
% 184.05/183.99 cnf(13148,plain,
% 184.05/183.99 (P1(f317(f28(x131481),f178(f906(x131481,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13151,plain,
% 184.05/183.99 (E(f317(f317(f3(f906(x131511,a895)),f178(f906(x131511,a895))),x131512),f178(f906(x131511,a895)))),
% 184.05/183.99 inference(rename_variables,[],[3696])).
% 184.05/183.99 cnf(13152,plain,
% 184.05/183.99 (P1(f317(f28(x131521),f178(f906(x131521,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13156,plain,
% 184.05/183.99 (E(f317(f274(x131561,x131561),f253(x131561,x131562)),x131562)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13161,plain,
% 184.05/183.99 (E(f317(f317(f3(f906(x131611,a895)),f178(f906(x131611,a895))),x131612),f178(f906(x131611,a895)))),
% 184.05/183.99 inference(rename_variables,[],[3696])).
% 184.05/183.99 cnf(13162,plain,
% 184.05/183.99 (P1(f317(f28(x131621),f178(f906(x131621,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13166,plain,
% 184.05/183.99 (P1(f317(f28(x131661),f178(f906(x131661,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3510])).
% 184.05/183.99 cnf(13169,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131691),x131691))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13173,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x131731),x131731))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13180,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131801),x131801))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13193,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x131931),x131931))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13196,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x131961),x131961))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13207,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x132071),x132072),f178(f906(x132071,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13218,plain,
% 184.05/183.99 (P1(f317(f317(f319(x132181),x132182),f232(f906(x132181,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3585])).
% 184.05/183.99 cnf(13219,plain,
% 184.05/183.99 (E(f317(f182(x132191,x132192),x132193),f111(x132191,x132192))),
% 184.05/183.99 inference(rename_variables,[],[3350])).
% 184.05/183.99 cnf(13222,plain,
% 184.05/183.99 (P1(f317(f317(f319(x132221),f317(x132222,x132223)),f317(f300(x132224,x132221,x132222),f232(f906(x132224,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(13226,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x132261,a895)),x132262),f232(f906(x132261,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(13229,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x132291,a895)),x132292),x132292))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(13235,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x132351),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13236,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x132361),x132361))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13240,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x132401),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13241,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x132411),x132411))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13246,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x132461),x132461))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13253,plain,
% 184.05/183.99 (E(f317(f317(f18(x132531,x132532),x132533),x132534),x132533)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13258,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x132581,a895)),f317(f162(x132581),f166(x132581,x132582,x132583))),f317(f162(x132581),x132582)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(13265,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x132651),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13266,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x132661),x132661))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13270,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),x132701),f2(a899)))),
% 184.05/183.99 inference(rename_variables,[],[4613])).
% 184.05/183.99 cnf(13271,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),x132711),x132711))),
% 184.05/183.99 inference(rename_variables,[],[3437])).
% 184.05/183.99 cnf(13275,plain,
% 184.05/183.99 (~P1(f317(f317(f224(f906(a899,a895)),f293(a899,f317(a102,x132751),f317(a102,x132751))),f293(a899,x132752,x132751)))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3076,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3138,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3271,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,4017,4618,11223,11322,11558,11561,3827,3538,3752,4598,3505,12912,12942,3330,10531,10863,3331,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,4009,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,12495,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,3741,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,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% 184.05/183.99 cnf(13276,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x132761),x132761))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13278,plain,
% 184.05/183.99 (~P1(f317(f317(f225(f906(a899,a895)),f293(a899,f317(a102,x132781),f317(a102,x132781))),f293(a899,x132782,x132781)))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3076,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3138,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3271,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,4017,4618,11223,11322,11558,11561,3827,3538,3752,4598,3505,12912,12942,3330,10531,10863,3331,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,4009,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,4628,10995,11398,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,3457,10896,11049,11119,11911,12062,12263,12468,12495,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,3741,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,3874,11162,11168,11186,12185,12315,12393,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764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4,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629])).
% 184.05/183.99 cnf(13279,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),x132791),x132791))),
% 184.05/183.99 inference(rename_variables,[],[3436])).
% 184.05/183.99 cnf(13282,plain,
% 184.05/183.99 (~P1(f317(f317(f224(a899),f317(a102,x132821)),x132821))),
% 184.05/183.99 inference(rename_variables,[],[4617])).
% 184.05/183.99 cnf(13288,plain,
% 184.05/183.99 (P1(f317(f317(f319(x132881),f317(x132882,x132883)),f317(f300(x132884,x132881,x132882),f232(f906(x132884,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[4027])).
% 184.05/183.99 cnf(13289,plain,
% 184.05/183.99 (P24(x132891,x132891,f7(x132891),x132892)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13294,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x132941,a895)),x132942),f232(f906(x132941,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(13295,plain,
% 184.05/183.99 (P24(x132951,x132951,f7(x132951),x132952)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13299,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x132991,a895)),x132992),f232(f906(x132991,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(13300,plain,
% 184.05/183.99 (P24(x133001,x133001,f7(x133001),x133002)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13304,plain,
% 184.05/183.99 (P24(x133041,x133041,f7(x133041),x133042)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13307,plain,
% 184.05/183.99 (~P1(f317(f317(f225(f906(x133071,a895)),x133072),f178(f906(x133071,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4628])).
% 184.05/183.99 cnf(13310,plain,
% 184.05/183.99 (P24(x133101,x133101,f7(x133101),x133102)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13313,plain,
% 184.05/183.99 (P24(x133131,x133131,f7(x133131),x133132)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13319,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x133191,a895)),x133192),f232(f906(x133191,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(13324,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x133241,a895)),f178(f906(x133241,a895))),x133242))),
% 184.05/183.99 inference(rename_variables,[],[3876])).
% 184.05/183.99 cnf(13328,plain,
% 184.05/183.99 (E(f317(f274(x133281,x133281),f253(x133281,x133282)),x133282)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13332,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x133321),x133322),f178(f906(x133321,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13337,plain,
% 184.05/183.99 (P24(x133371,x133371,f7(x133371),x133372)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13340,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x133401,a895)),x133402),f232(f906(x133401,a895))))),
% 184.05/183.99 inference(rename_variables,[],[3810])).
% 184.05/183.99 cnf(13348,plain,
% 184.05/183.99 (E(f317(f317(f18(x133481,x133482),x133483),x133484),x133483)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13351,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x133511),x133512),f178(f906(x133511,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13354,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x133541),x133542),f178(f906(x133541,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13359,plain,
% 184.05/183.99 (~E(f317(a102,x133591),x133591)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(13365,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x133651),f317(a102,x133651)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13366,plain,
% 184.05/183.99 (~E(f317(a102,x133661),x133661)),
% 184.05/183.99 inference(rename_variables,[],[4576])).
% 184.05/183.99 cnf(13369,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x133691),f317(a102,f317(f317(f74(a899),x133692),x133691))))),
% 184.05/183.99 inference(rename_variables,[],[3877])).
% 184.05/183.99 cnf(13370,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),x133701),f317(a102,x133701)))),
% 184.05/183.99 inference(rename_variables,[],[3502])).
% 184.05/183.99 cnf(13372,plain,
% 184.05/183.99 (~E(f317(f317(f75(a899),f317(a102,f2(a899))),f109(x133721)),f317(f317(f75(a899),f317(a102,f2(a899))),f116(x133721,x133722,x133723)))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,12883,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,12852,13289,13295,13300,13304,13310,13313,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,12817,13359,13366,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3076,3079,3085,3091,3097,3105,3108,3115,3118,3119,3127,3138,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,13156,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3270,3271,4263,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,13253,4017,4618,11223,11322,11558,11561,3401,3827,3424,3538,3752,4598,3505,12912,12942,3330,10531,10863,3331,4607,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,11444,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,13365,3879,11879,3420,3514,11708,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,4009,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,4117,11249,12372,12448,12510,12554,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,13226,13294,13299,13319,4628,10995,11398,12514,13307,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,13279,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,13218,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,13207,13332,13351,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,13282,3457,10896,11049,11119,11911,12062,12263,12468,12495,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,3741,11875,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,13222,13288,3874,11162,11168,11186,12185,12315,12393,12685,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,12764,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,12545,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,11081,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2772,2773,2779,2780,2783,2784,2785,2788,2789,2791,2792,2793,2795,2797,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2816,2817,2818,2823,2829,2830,2831,2851,2852,2854,2855,2860,2861,2862,2863,2864,2866,2876,2877,2881,2884,2887,2888,2889,2892,2893,2894,2899,2902,2903,2904,2911,2918,2920,2938,2942,2944,2945,2950,2951,2952,2962,2963,2964,2982,2984,2986,2987,2989,2990,2999,3000,3010,3011,3024,3038,5352,5394,5543,5544,5545,5627,5726,5756,5790,5806,5808,5814,5876,5877,5878,5879,5896,5931,6069,6108,6118,6142,6176,6214,6221,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6923,6937,6993,7013,7014,7020,7042,7075,7077,7081,7125,7145,7146,7164,7165,7202,7247,7248,7345,7414,7415,7416,7417,7434,7467,7520,7521,7529,7534,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629,8630,8631,8781,9039,9040,9109,9123,9176,9177,9297,9332,9359,9394,9435,9639,9763,9906,10092,10148,10150,5966,6138,6521,6522,6614])).
% 184.05/183.99 cnf(13379,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x133791)))),
% 184.05/183.99 inference(rename_variables,[],[3534])).
% 184.05/183.99 cnf(13382,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x133821))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(13386,plain,
% 184.05/183.99 (~E(f317(a102,x133861),f2(a899))),
% 184.05/183.99 inference(rename_variables,[],[4582])).
% 184.05/183.99 cnf(13389,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x133891,a895)),f317(f162(x133891),f166(x133891,x133892,x133893))),f317(f162(x133891),x133892)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(13394,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x133941),x133942),f178(f906(x133941,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13397,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x133971,x133972)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13398,plain,
% 184.05/183.99 (E(f317(f317(f228(a899),f317(a102,x133981)),f317(a102,x133982)),f317(a102,f317(f317(f228(a899),x133981),x133982)))),
% 184.05/183.99 inference(rename_variables,[],[3603])).
% 184.05/183.99 cnf(13401,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x134011,x134012)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13402,plain,
% 184.05/183.99 (E(f317(f317(f223(a899),f317(a102,x134021)),f317(a102,x134022)),f317(a102,f317(f317(f223(a899),x134021),x134022)))),
% 184.05/183.99 inference(rename_variables,[],[3604])).
% 184.05/183.99 cnf(13405,plain,
% 184.05/183.99 (P1(f317(f28(a899),f295(a899,x134051,x134052)))),
% 184.05/183.99 inference(rename_variables,[],[3640])).
% 184.05/183.99 cnf(13414,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x134141),x134142),f178(f906(x134141,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13415,plain,
% 184.05/183.99 (E(f317(f317(f18(x134151,x134152),x134153),x134154),x134153)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13418,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x134181,a895)),f317(f162(x134181),f317(f126(x134181,x134182),x134183))),f317(f162(x134181),x134183)))),
% 184.05/183.99 inference(rename_variables,[],[4070])).
% 184.05/183.99 cnf(13419,plain,
% 184.05/183.99 (E(f317(f317(f18(x134191,x134192),x134193),x134194),x134193)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13422,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x134221,a895)),f317(f162(x134221),f317(f317(f165(x134221),x134222),x134223))),f317(f162(x134221),x134223)))),
% 184.05/183.99 inference(rename_variables,[],[4112])).
% 184.05/183.99 cnf(13423,plain,
% 184.05/183.99 (E(f317(f317(f18(x134231,x134232),x134233),x134234),x134233)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13427,plain,
% 184.05/183.99 (E(f317(f317(f18(x134271,x134272),x134273),x134274),x134273)),
% 184.05/183.99 inference(rename_variables,[],[3427])).
% 184.05/183.99 cnf(13440,plain,
% 184.05/183.99 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x134401)))),
% 184.05/183.99 inference(rename_variables,[],[3534])).
% 184.05/183.99 cnf(13445,plain,
% 184.05/183.99 (P24(x134451,x134451,f7(x134451),x134452)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13448,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x134481),x134482),f178(f906(x134481,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13449,plain,
% 184.05/183.99 (E(f317(f274(x134491,x134491),f253(x134491,x134492)),x134492)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13450,plain,
% 184.05/183.99 (P24(x134501,x134501,f7(x134501),x134502)),
% 184.05/183.99 inference(rename_variables,[],[3669])).
% 184.05/183.99 cnf(13454,plain,
% 184.05/183.99 (E(f317(f274(x134541,x134541),f253(x134541,x134542)),x134542)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13468,plain,
% 184.05/183.99 (P1(f317(f317(f224(a899),f2(a899)),x134681))),
% 184.05/183.99 inference(rename_variables,[],[3457])).
% 184.05/183.99 cnf(13469,plain,
% 184.05/183.99 (P1(f317(f317(f225(a899),f2(a899)),f317(a102,x134691)))),
% 184.05/183.99 inference(rename_variables,[],[3514])).
% 184.05/183.99 cnf(13470,plain,
% 184.05/183.99 (E(f317(f274(x134701,x134701),f253(x134701,x134702)),x134702)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13551,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a1),f2(a1)),f2(a1)))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,12883,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,12852,13289,13295,13300,13304,13310,13313,13337,13445,13450,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,12817,13359,13366,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,13022,13386,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3074,3076,3079,3085,3091,3095,3097,3105,3108,3115,3118,3119,3127,3132,3138,3139,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,13156,13328,13449,13454,13470,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3270,3271,4263,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,13253,13348,13415,13419,13423,13427,4017,4618,11223,11322,11558,11561,3401,3827,3424,3538,3752,3530,4598,3505,12912,12942,3330,10531,10863,3331,4607,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,11444,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3613,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,13365,13370,3879,11879,3420,3514,11708,11990,13469,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,13270,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,13033,13397,13401,13405,4009,3603,13398,3604,13402,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,12660,13418,4112,13422,4117,11249,12372,12448,12510,12554,13258,13389,4118,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,13226,13294,13299,13319,13340,4628,10995,11398,12514,13307,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,13279,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,13271,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,13218,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,13207,13332,13351,13354,13394,13414,13448,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,13379,13440,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,13282,3457,10896,11049,11119,11911,12062,12263,12468,12495,13103,13382,13468,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,4409,3741,11875,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,13222,13288,3874,11162,11168,11186,12185,12315,12393,12685,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,13229,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,12764,13324,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,12545,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,11081,13369,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2772,2773,2779,2780,2783,2784,2785,2788,2789,2791,2792,2793,2795,2797,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2816,2817,2818,2823,2829,2830,2831,2851,2852,2854,2855,2860,2861,2862,2863,2864,2866,2876,2877,2881,2884,2887,2888,2889,2892,2893,2894,2899,2902,2903,2904,2911,2918,2920,2938,2942,2944,2945,2950,2951,2952,2962,2963,2964,2982,2984,2986,2987,2989,2990,2999,3000,3010,3011,3024,3038,5352,5394,5543,5544,5545,5627,5726,5756,5790,5806,5808,5814,5876,5877,5878,5879,5896,5931,6069,6108,6118,6142,6176,6214,6221,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6923,6937,6993,7013,7014,7020,7042,7075,7077,7081,7125,7145,7146,7164,7165,7202,7247,7248,7345,7414,7415,7416,7417,7434,7467,7520,7521,7529,7534,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629,8630,8631,8781,9039,9040,9109,9123,9176,9177,9297,9332,9359,9394,9435,9639,9763,9906,10092,10148,10150,5966,6138,6521,6522,6614,6634,6635,7066,7285,8623,8702,8949,9132,9133,9203,9204,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8534,8535,9005,9023,9970,10352,4695,4727,4728,4731,4773,4777,4782,4823,4920,4937,4967,4968,4999,5003,5062,5065,5125,5257,5296,5297,5299,5306,5307,5331,5370,5402,5424,5559,5632,5633,5634,5695,5752])).
% 184.05/183.99 cnf(13553,plain,
% 184.05/183.99 (P1(f317(f317(f225(a1),f2(a1)),f317(f70(a1),f72(a1))))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,12883,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,12852,13289,13295,13300,13304,13310,13313,13337,13445,13450,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,12817,13359,13366,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,13022,13386,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3074,3076,3079,3085,3091,3095,3097,3105,3108,3115,3118,3119,3127,3132,3138,3139,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,13156,13328,13449,13454,13470,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3270,3271,4263,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,13253,13348,13415,13419,13423,13427,4017,4618,11223,11322,11558,11561,3401,3827,3424,3538,3752,3530,4598,3505,12912,12942,3330,10531,10863,3331,4607,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,11444,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3613,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,13365,13370,3879,11879,3420,3514,11708,11990,13469,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,13270,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,13033,13397,13401,13405,4009,3603,13398,3604,13402,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,12660,13418,4112,13422,4117,11249,12372,12448,12510,12554,13258,13389,4118,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,13226,13294,13299,13319,13340,4628,10995,11398,12514,13307,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,13279,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,13271,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,13218,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,13207,13332,13351,13354,13394,13414,13448,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,13379,13440,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,13282,3457,10896,11049,11119,11911,12062,12263,12468,12495,13103,13382,13468,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,4409,3741,11875,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,13222,13288,3874,11162,11168,11186,12185,12315,12393,12685,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,13229,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,12764,13324,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,12545,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,11081,13369,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2772,2773,2779,2780,2783,2784,2785,2788,2789,2791,2792,2793,2795,2797,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2816,2817,2818,2823,2829,2830,2831,2851,2852,2854,2855,2860,2861,2862,2863,2864,2866,2876,2877,2881,2884,2887,2888,2889,2892,2893,2894,2899,2902,2903,2904,2911,2918,2920,2938,2942,2944,2945,2950,2951,2952,2962,2963,2964,2982,2984,2986,2987,2989,2990,2999,3000,3010,3011,3024,3038,5352,5394,5543,5544,5545,5627,5726,5756,5790,5806,5808,5814,5876,5877,5878,5879,5896,5931,6069,6108,6118,6142,6176,6214,6221,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6923,6937,6993,7013,7014,7020,7042,7075,7077,7081,7125,7145,7146,7164,7165,7202,7247,7248,7345,7414,7415,7416,7417,7434,7467,7520,7521,7529,7534,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629,8630,8631,8781,9039,9040,9109,9123,9176,9177,9297,9332,9359,9394,9435,9639,9763,9906,10092,10148,10150,5966,6138,6521,6522,6614,6634,6635,7066,7285,8623,8702,8949,9132,9133,9203,9204,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8534,8535,9005,9023,9970,10352,4695,4727,4728,4731,4773,4777,4782,4823,4920,4937,4967,4968,4999,5003,5062,5065,5125,5257,5296,5297,5299,5306,5307,5331,5370,5402,5424,5559,5632,5633,5634,5695,5752,5753])).
% 184.05/183.99 cnf(13577,plain,
% 184.05/183.99 (~P1(f317(f28(x135771),f31(f906(x135771,a895),f232(f906(f906(x135771,a895),a895)))))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,12883,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,12852,13289,13295,13300,13304,13310,13313,13337,13445,13450,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,12817,13359,13366,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,13022,13386,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3074,3076,3079,3085,3091,3095,3097,3105,3108,3115,3118,3119,3127,3132,3138,3139,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,13156,13328,13449,13454,13470,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3270,3271,4263,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,13253,13348,13415,13419,13423,13427,4017,4618,11223,11322,11558,11561,3401,3827,3424,3538,3752,3530,4598,3505,12912,12942,3330,10531,10863,3331,4607,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,11444,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3613,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,13365,13370,3879,11879,3420,3514,11708,11990,13469,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,13270,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,13033,13397,13401,13405,4009,3603,13398,3604,13402,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,12660,13418,4112,13422,4117,11249,12372,12448,12510,12554,13258,13389,4118,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,13226,13294,13299,13319,13340,4628,10995,11398,12514,13307,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,13279,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,13271,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,13218,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,13207,13332,13351,13354,13394,13414,13448,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,13379,13440,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,13282,3457,10896,11049,11119,11911,12062,12263,12468,12495,13103,13382,13468,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,4409,3741,11875,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,13222,13288,3874,11162,11168,11186,12185,12315,12393,12685,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,13229,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,12764,13324,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,12545,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,11081,13369,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2772,2773,2779,2780,2783,2784,2785,2788,2789,2791,2792,2793,2795,2797,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2816,2817,2818,2823,2829,2830,2831,2851,2852,2854,2855,2860,2861,2862,2863,2864,2866,2876,2877,2881,2884,2887,2888,2889,2892,2893,2894,2899,2902,2903,2904,2911,2918,2920,2938,2942,2944,2945,2950,2951,2952,2962,2963,2964,2982,2984,2986,2987,2989,2990,2999,3000,3010,3011,3024,3038,5352,5394,5543,5544,5545,5627,5726,5756,5790,5806,5808,5814,5876,5877,5878,5879,5896,5931,6069,6108,6118,6142,6176,6214,6221,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6923,6937,6993,7013,7014,7020,7042,7075,7077,7081,7125,7145,7146,7164,7165,7202,7247,7248,7345,7414,7415,7416,7417,7434,7467,7520,7521,7529,7534,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629,8630,8631,8781,9039,9040,9109,9123,9176,9177,9297,9332,9359,9394,9435,9639,9763,9906,10092,10148,10150,5966,6138,6521,6522,6614,6634,6635,7066,7285,8623,8702,8949,9132,9133,9203,9204,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8534,8535,9005,9023,9970,10352,4695,4727,4728,4731,4773,4777,4782,4823,4920,4937,4967,4968,4999,5003,5062,5065,5125,5257,5296,5297,5299,5306,5307,5331,5370,5402,5424,5559,5632,5633,5634,5695,5752,5753,5779,5783,5842,5844,5853,5859,5947,6033,6140,6183,6241,6355])).
% 184.05/183.99 cnf(13587,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f2(a899)),f178(a899)))),
% 184.05/183.99 inference(scs_inference,[],[4085,12707,12732,12879,12881,12883,3669,11317,12375,12480,12483,12575,12617,12621,12629,12701,12850,12852,13289,13295,13300,13304,13310,13313,13337,13445,13450,3678,12445,12922,12924,3685,3405,12932,12934,12936,3406,12869,3372,12789,4595,4596,11955,4358,12896,3409,12916,3248,3305,12831,3306,12859,3307,3308,3309,12657,12823,4594,3727,4576,10401,10411,10424,10435,10539,10544,10547,10649,10784,11094,11287,11290,11309,11312,11505,11606,11613,11627,11673,11676,11709,11724,11787,11846,11862,12161,12189,12203,12232,12238,12332,12441,12610,12671,12817,13359,13366,3490,3455,12890,3637,12133,3356,4582,10633,10733,11197,11297,13022,13386,3049,3050,3052,3053,3055,3056,3059,3060,3061,3067,3068,3069,3072,3073,3074,3076,3079,3085,3091,3095,3097,3105,3108,3115,3118,3119,3127,3132,3138,3139,3142,3143,3144,3156,3163,3164,3167,3171,3175,3176,3178,3179,3184,3192,3193,3195,3196,3197,3198,3201,3206,3207,3217,3227,4573,3232,3304,4574,3766,3991,11893,3281,11603,3418,3393,3396,10470,10473,10568,10571,10890,11618,11621,11735,11774,11779,11888,12347,12551,12767,12819,12821,12840,12846,12848,12867,12888,12908,12914,12951,13156,13328,13449,13454,13470,3367,12642,12646,12650,3373,3382,3886,4187,3350,13219,3501,12704,12792,3270,3271,4263,3631,3977,11649,3333,3267,3295,3746,3290,3489,4094,3985,3808,3278,3279,3258,3898,3315,3491,11044,11171,12442,12661,3366,4059,4589,10461,10630,11502,12602,12643,12647,4592,12614,3427,11975,11978,13253,13348,13415,13419,13423,13427,4017,4618,11223,11322,11558,11561,3401,3827,3424,3538,3752,3530,4598,3505,12912,12942,3330,10531,10863,3331,4607,3590,3323,3249,3352,11639,4201,12632,12779,4061,11243,11374,11433,12586,12592,12721,12724,12754,4637,11146,11387,11496,11522,11566,11572,12530,4638,11276,11390,11499,4639,11393,11444,4640,11451,4641,3351,3629,12486,12527,12613,3792,3578,4472,4473,3613,3650,4587,11632,3770,3729,3772,3941,3696,13139,13143,13147,13151,13161,3987,12477,3615,3869,3502,10552,10672,10750,10823,10826,10866,10969,11213,11823,12031,12077,12157,12225,12303,12338,12413,12416,12758,13017,13058,13061,13122,13365,13370,3879,11879,3420,3514,11708,11990,13469,3691,4613,10438,10441,10467,10593,10768,10977,10992,11104,11544,11642,11822,12048,12053,12279,12282,12359,12533,12636,12963,12982,12985,13009,13062,13235,13240,13265,13270,4624,11751,11782,11819,11826,11859,13071,13075,3866,3638,3640,12178,12988,12991,12994,12997,13030,13033,13397,13401,13405,4009,3603,13398,3604,13402,3464,3466,3439,4610,3329,3294,4584,3818,4123,3622,4625,4194,11519,3751,3476,11998,12001,12449,12555,12735,4616,10429,10432,10601,10696,10715,10722,10745,10753,10756,10773,10962,11200,11413,11702,11796,11944,12066,12069,4163,4122,12150,12501,4070,10881,12511,12660,13418,4112,13422,4117,11249,12372,12448,12510,12554,13258,13389,4118,3793,11830,12160,12310,12380,12432,4151,3810,10596,10693,11246,11327,11406,11470,12331,12394,12666,12731,12751,12761,13226,13294,13299,13319,13340,4628,10995,11398,12514,13307,3436,10561,10659,10809,10873,10951,10998,11001,11032,11052,11088,11126,11165,11947,11993,12130,12188,12206,12209,12212,12215,12387,12401,12404,12407,12410,12494,12558,12677,12727,13010,13036,13094,13114,13125,13130,13133,13136,13169,13180,13193,13246,13276,13279,3437,10588,10644,10878,10972,11091,11727,12028,12034,12045,12136,12147,12166,12171,12218,12241,12258,13027,13173,13196,13236,13241,13266,13271,3438,12419,12422,3510,12364,13091,13140,13144,13148,13152,13162,13166,4609,10478,10507,11016,11055,11064,11907,11928,12104,12107,12110,12113,12202,12221,12224,12237,12291,12294,12297,12300,12460,12463,12561,12564,12670,12710,12801,3585,10738,10829,11099,11143,11377,11380,11459,11541,11712,11958,12609,12804,13218,4620,11025,11135,11156,11159,11226,11229,11240,11343,11351,11365,11401,11418,11427,11467,11508,11513,11516,11535,11538,11575,11580,11583,11586,11589,11829,11972,12007,12285,12288,12322,12365,12390,12539,12583,12589,12689,12692,12717,12778,12784,12795,12811,13090,13106,13109,13207,13332,13351,13354,13394,13414,13448,3495,10860,10893,10902,10905,10908,11488,12711,12728,13072,13076,13079,13082,3534,13379,13440,3527,3945,3884,10510,11882,11910,13053,4617,10458,10848,10851,11346,11362,11845,11898,11932,11959,12063,12092,12095,12098,12101,12358,13282,3457,10896,11049,11119,11911,12062,12263,12468,12495,13103,13382,13468,3908,12004,13004,4242,3644,4614,3919,3953,4601,4604,4605,3412,3417,4603,3413,4602,4365,4409,3741,11875,4336,11734,4630,10759,10762,4636,11232,11235,11421,11532,11549,11595,4027,11592,11931,11935,12620,12628,12720,13222,13288,3874,11162,11168,11186,12185,12315,12393,12685,3725,11302,11424,12425,12536,12546,12625,12680,12688,12808,13229,4199,3876,10899,11265,11430,11464,11475,12624,12674,12714,12764,13324,3586,3692,10812,10815,10911,11075,3694,4633,11876,4629,12972,4635,10652,10765,12489,12498,12542,12745,4297,11035,12507,12522,12545,4205,3907,12814,3852,3853,4631,10483,10486,10854,10857,11748,11936,12757,4632,11856,11941,3877,10818,11081,13369,3878,4137,4648,4674,4729,4733,4757,4772,4779,4781,4817,4822,4851,4857,4943,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5207,5213,5249,5250,5258,5266,5270,5272,5286,5289,5295,5300,5301,5314,5320,5323,5324,5328,5356,5371,5380,5382,5383,5384,5387,5388,5389,5399,5401,5407,5408,5409,5415,5419,5420,5421,5429,5433,5434,5440,5453,5461,5474,5476,5484,5486,5487,5490,5494,5521,5535,5536,5551,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5677,5681,5690,5691,5693,5694,5710,5715,5724,5725,5736,5743,5757,5761,5764,5770,5771,5772,5775,5780,5816,5817,5820,5822,5824,5826,5827,5828,5830,5832,5834,5839,5846,5861,5875,5881,5882,5894,5905,5906,5913,5917,5919,5924,5932,5970,5985,5994,5997,6007,6011,6012,6013,6014,6015,6020,6025,6035,6041,6059,6063,6072,6101,6117,6143,6160,6161,6164,6178,6180,6182,6184,6199,6200,6203,6205,6208,6209,6226,6234,6235,6236,6238,6240,6277,6278,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6688,6691,6692,6748,6771,6815,6830,6838,6847,6848,6849,6850,6870,6871,6878,6890,6893,6895,6897,6898,6899,6901,6915,6926,6927,6928,6941,6996,7009,7011,7034,7035,7071,7078,7114,7144,7200,7229,7286,7307,7314,7317,7377,7387,7450,7452,7466,7475,7476,7477,7494,7498,7500,7547,7557,7560,7574,7621,7625,7628,7672,7673,7691,7761,7779,7803,7827,7839,7853,7864,7875,7876,7903,7905,7907,7917,7955,7966,7991,8018,8051,8082,8115,8154,8170,8172,8188,8189,8256,8267,8332,8357,8376,8403,8442,8443,8460,8500,8502,8504,8511,8527,8531,8546,8567,8575,8577,8587,8592,8596,8597,8598,8599,8600,8601,8620,8635,8636,8654,8656,8660,8661,8662,8663,8664,8682,8683,8684,8694,8707,8710,8721,8726,8728,8730,8731,8732,8739,8745,8753,8756,8773,8774,8783,8784,8792,8811,8824,8828,8849,8871,8872,8875,8876,8882,8891,8892,8915,8926,8936,8937,8938,8941,8964,8965,8976,9025,9035,9037,9053,9065,9066,9067,9078,9142,9173,9174,9175,9190,9207,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4661,4662,4680,4722,4724,4725,4748,4750,4751,4761,4806,4808,4856,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5208,5263,5268,5269,5274,5280,5311,5321,5326,5336,5353,5355,5362,5363,5365,5376,5395,5397,5398,5405,5412,5413,5425,5426,5427,5428,5430,5431,5436,5437,5438,5439,5470,5471,5472,5480,5481,5482,5483,5527,5532,5534,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5670,5673,5674,5675,5702,5712,5727,5728,5737,5738,5740,5742,5747,5782,5787,5789,5848,5883,5884,5898,5904,5907,5908,5909,5910,5929,5933,5934,5943,5965,5999,6018,6019,6023,6024,6026,6049,6053,6056,6057,6058,6074,6085,6086,6119,6120,6124,6145,6148,6151,6168,6172,6173,6201,6204,6213,6222,6224,6233,6237,6245,6246,6247,6248,6280,6281,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6563,6564,6566,6568,6569,6570,6572,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6785,6788,6807,6810,6831,6851,6864,6865,6866,6872,6886,6905,6907,6909,6911,6916,6922,6924,6938,6943,6944,6981,6982,6983,7000,7001,7003,7004,7024,7026,7041,7069,7092,7103,7105,7107,7109,7110,7141,7142,7143,7147,7148,7156,7158,7159,7160,7182,7191,7192,7203,7213,7253,7263,7269,7276,7287,7292,7294,7301,7321,7338,7359,7361,7380,7435,7436,7437,7439,7441,7445,7446,7451,7515,7543,7558,7573,7604,7608,7631,7656,7674,7677,7678,7688,7708,7710,7712,7714,7715,7716,7717,7718,7743,7769,7770,7802,7804,7805,7806,7812,7833,7850,7855,7861,7863,7871,7884,7885,7887,7908,7915,7936,7968,8004,8005,8006,8054,8060,8061,8084,8085,8102,8103,8104,8161,8162,8191,8221,8230,8244,8259,8288,8292,8298,8310,8328,8333,8356,8401,8430,8444,8464,8467,8493,8520,8578,8579,8582,8583,8652,8686,8687,8688,8689,8716,8748,8777,8785,8786,8827,8848,8893,8909,8955,8958,8973,8980,9022,9061,9062,9080,9081,9095,9212,9217,9221,9241,9252,9275,9277,9280,9286,9288,9289,9300,9301,9320,9328,9339,9347,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2772,2773,2779,2780,2783,2784,2785,2788,2789,2791,2792,2793,2795,2797,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2816,2817,2818,2823,2829,2830,2831,2851,2852,2854,2855,2860,2861,2862,2863,2864,2866,2876,2877,2881,2884,2887,2888,2889,2892,2893,2894,2899,2902,2903,2904,2911,2918,2920,2938,2942,2944,2945,2950,2951,2952,2962,2963,2964,2982,2984,2986,2987,2989,2990,2999,3000,3010,3011,3024,3038,5352,5394,5543,5544,5545,5627,5726,5756,5790,5806,5808,5814,5876,5877,5878,5879,5896,5931,6069,6108,6118,6142,6176,6214,6221,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6923,6937,6993,7013,7014,7020,7042,7075,7077,7081,7125,7145,7146,7164,7165,7202,7247,7248,7345,7414,7415,7416,7417,7434,7467,7520,7521,7529,7534,7535,7546,7576,7577,7578,7579,7724,7725,7727,7729,7735,7736,7810,7942,7945,7951,7952,7963,8001,8002,8080,8120,8174,8196,8197,8274,8369,8440,8441,8445,8448,8479,8516,8542,8543,8610,8628,8629,8630,8631,8781,9039,9040,9109,9123,9176,9177,9297,9332,9359,9394,9435,9639,9763,9906,10092,10148,10150,5966,6138,6521,6522,6614,6634,6635,7066,7285,8623,8702,8949,9132,9133,9203,9204,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8534,8535,9005,9023,9970,10352,4695,4727,4728,4731,4773,4777,4782,4823,4920,4937,4967,4968,4999,5003,5062,5065,5125,5257,5296,5297,5299,5306,5307,5331,5370,5402,5424,5559,5632,5633,5634,5695,5752,5753,5779,5783,5842,5844,5853,5859,5947,6033,6140,6183,6241,6355,6482,6645,6683,6859,7120])).
% 184.05/183.99 cnf(13759,plain,
% 184.05/183.99 (E(f317(f274(x137591,x137591),f253(x137591,x137592)),x137592)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13764,plain,
% 184.05/183.99 (~E(f317(f317(f141(x137641),x137642),x137643),x137643)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(13779,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x137791),x137792)),x137791))),
% 184.05/183.99 inference(rename_variables,[],[4632])).
% 184.05/183.99 cnf(13798,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x137981),x137982),f178(f906(x137981,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13809,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x138091),x138092),f178(f906(x138091,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13812,plain,
% 184.05/183.99 (~P1(f317(f56(x138121,x138122,f178(f906(x138121,a895))),x138123))),
% 184.05/183.99 inference(rename_variables,[],[4630])).
% 184.05/183.99 cnf(13821,plain,
% 184.05/183.99 (E(f317(f274(x138211,x138211),f253(x138211,x138212)),x138212)),
% 184.05/183.99 inference(rename_variables,[],[3396])).
% 184.05/183.99 cnf(13824,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x138241,a895)),x138242),x138242))),
% 184.05/183.99 inference(rename_variables,[],[3725])).
% 184.05/183.99 cnf(13832,plain,
% 184.05/183.99 (~P1(f317(f317(f319(a899),x138321),f317(f272(a899),f2(a899))))),
% 184.05/183.99 inference(rename_variables,[],[12025])).
% 184.05/183.99 cnf(13845,plain,
% 184.05/183.99 (E(f317(x138451,f317(f85(x138452,x138453,f232(f906(x138452,a895)),x138451),f317(x138451,x138454))),f317(x138451,x138454))),
% 184.05/183.99 inference(rename_variables,[],[11299])).
% 184.05/183.99 cnf(13850,plain,
% 184.05/183.99 (~P1(f317(f317(f225(a899),f317(f317(f74(a899),x138501),x138502)),x138501))),
% 184.05/183.99 inference(rename_variables,[],[4632])).
% 184.05/183.99 cnf(13869,plain,
% 184.05/183.99 (E(f317(x138691,f317(f85(x138692,x138693,f232(f906(x138692,a895)),x138691),f317(x138691,x138694))),f317(x138691,x138694))),
% 184.05/183.99 inference(rename_variables,[],[11299])).
% 184.05/183.99 cnf(13876,plain,
% 184.05/183.99 (E(f317(f317(f124(x138761),f103(x138761)),x138762),x138762)),
% 184.05/183.99 inference(rename_variables,[],[3391])).
% 184.05/183.99 cnf(13885,plain,
% 184.05/183.99 (~E(f317(f317(f141(x138851),x138852),x138853),x138853)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(13894,plain,
% 184.05/183.99 (~E(f317(f317(f141(x138941),x138942),x138943),x138943)),
% 184.05/183.99 inference(rename_variables,[],[4589])).
% 184.05/183.99 cnf(13899,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x138991),x138992),f178(f906(x138991,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13904,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x139041,a895)),x139042),f317(f317(f299(x139041),x139043),x139042)))),
% 184.05/183.99 inference(rename_variables,[],[3874])).
% 184.05/183.99 cnf(13924,plain,
% 184.05/183.99 (~P1(f317(f317(f319(f905(x139241,x139241)),x139242),f253(x139241,f178(f906(x139241,a895)))))),
% 184.05/183.99 inference(rename_variables,[],[11155])).
% 184.05/183.99 cnf(13935,plain,
% 184.05/183.99 (~P1(f317(f317(f319(x139351),x139352),f178(f906(x139351,a895))))),
% 184.05/183.99 inference(rename_variables,[],[4620])).
% 184.05/183.99 cnf(13938,plain,
% 184.05/183.99 (P1(f317(f317(f224(f906(x139381,a895)),f317(f162(x139381),f166(x139381,x139382,x139383))),f317(f162(x139381),x139382)))),
% 184.05/183.99 inference(rename_variables,[],[4117])).
% 184.05/183.99 cnf(13945,plain,
% 184.05/184.00 (P1(f317(f317(f224(a899),f40(a899,x139451,x139452)),x139451))),
% 184.05/184.00 inference(rename_variables,[],[3884])).
% 184.05/184.00 cnf(13957,plain,
% 184.05/184.00 (P1(f317(f317(f224(a899),x139571),f317(f317(f75(a899),x139571),x139571)))),
% 184.05/184.00 inference(rename_variables,[],[3692])).
% 184.05/184.00 cnf(13960,plain,
% 184.05/184.00 (~E(f317(f317(f228(a899),f317(a102,x139601)),x139601),f317(a102,x139601))),
% 184.05/184.00 inference(rename_variables,[],[11765])).
% 184.05/184.00 cnf(13970,plain,
% 184.05/184.00 (P1(f317(f317(f319(x139701),f317(x139702,x139703)),f317(f300(x139704,x139701,x139702),f232(f906(x139704,a895)))))),
% 184.05/184.00 inference(rename_variables,[],[4027])).
% 184.05/184.00 cnf(13975,plain,
% 184.05/184.00 (P1(f317(f317(f277(a899),x139751),x139751))),
% 184.05/184.00 inference(rename_variables,[],[3438])).
% 184.05/184.00 cnf(13978,plain,
% 184.05/184.00 (P1(f317(f317(f225(a899),x139781),f317(a102,f317(f317(f74(a899),x139781),x139782))))),
% 184.05/184.00 inference(rename_variables,[],[3878])).
% 184.05/184.00 cnf(13983,plain,
% 184.05/184.00 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x139831),f72(a1))),x139831))),
% 184.05/184.00 inference(rename_variables,[],[10971])).
% 184.05/184.00 cnf(13995,plain,
% 184.05/184.00 (~P1(f317(f317(f319(f905(x139951,x139951)),x139952),f253(x139951,f178(f906(x139951,a895)))))),
% 184.05/184.00 inference(rename_variables,[],[11155])).
% 184.05/184.00 cnf(14004,plain,
% 184.05/184.00 (~P1(f317(f317(f319(x140041),x140042),f178(f906(x140041,a895))))),
% 184.05/184.00 inference(rename_variables,[],[4620])).
% 184.05/184.00 cnf(14024,plain,
% 184.05/184.00 (P1(f317(f317(f224(a1),x140241),x140241))),
% 184.05/184.00 inference(rename_variables,[],[3437])).
% 184.05/184.00 cnf(14033,plain,
% 184.05/184.00 (P1(f317(f317(f225(a899),x140331),f317(a102,f317(f317(f74(a899),x140332),x140331))))),
% 184.05/184.00 inference(rename_variables,[],[3877])).
% 184.05/184.00 cnf(14036,plain,
% 184.05/184.00 (~E(f317(f317(f141(x140361),x140362),x140363),x140363)),
% 184.05/184.00 inference(rename_variables,[],[4589])).
% 184.05/184.00 cnf(14043,plain,
% 184.05/184.00 (P1(f317(f317(f224(f906(x140431,a895)),x140432),x140432))),
% 184.05/184.00 inference(rename_variables,[],[3725])).
% 184.05/184.00 cnf(14058,plain,
% 184.05/184.00 (P1(f317(f317(f224(a899),f2(a899)),x140581))),
% 184.05/184.00 inference(rename_variables,[],[3457])).
% 184.05/184.00 cnf(14063,plain,
% 184.05/184.00 (~P1(f317(f317(f319(f905(x140631,x140631)),x140632),f253(x140631,f178(f906(x140631,a895)))))),
% 184.05/184.00 inference(rename_variables,[],[11155])).
% 184.05/184.00 cnf(14066,plain,
% 184.05/184.00 (~P1(f317(f317(f319(x140661),x140662),f178(f906(x140661,a895))))),
% 184.05/184.00 inference(rename_variables,[],[4620])).
% 184.05/184.00 cnf(14075,plain,
% 184.05/184.00 (P1(f317(f317(f319(x140751),f317(x140752,x140753)),f317(f300(x140754,x140751,x140752),f232(f906(x140754,a895)))))),
% 184.05/184.00 inference(rename_variables,[],[4027])).
% 184.05/184.00 cnf(14081,plain,
% 184.05/184.00 (P1(f317(f317(f224(f906(x140811,a895)),x140812),x140812))),
% 184.05/184.00 inference(rename_variables,[],[3725])).
% 184.05/184.00 cnf(14097,plain,
% 184.05/184.00 (~E(f317(f317(f141(x140971),x140972),x140973),x140973)),
% 184.05/184.00 inference(rename_variables,[],[4589])).
% 184.05/184.00 cnf(14106,plain,
% 184.05/184.00 (P1(f317(f317(f224(f906(x141061,a895)),f317(f162(x141061),f166(x141061,x141062,x141063))),f317(f162(x141061),x141062)))),
% 184.05/184.00 inference(rename_variables,[],[4117])).
% 184.05/184.00 cnf(14122,plain,
% 184.05/184.00 (~P1(f317(f317(f319(f905(f900(x141221),f900(x141221))),f317(f317(f242(f900(x141221),f900(x141221)),f103(x141221)),x141222)),f147(x141221,x141223)))),
% 184.05/184.00 inference(rename_variables,[],[4641])).
% 184.05/184.00 cnf(14127,plain,
% 184.05/184.00 (~E(f317(f317(f141(x141271),x141272),x141273),f103(x141271))),
% 184.05/184.00 inference(rename_variables,[],[4592])).
% 184.05/184.00 cnf(14137,plain,
% 184.05/184.00 (~P1(f317(f317(f319(a899),x141371),f317(f272(a899),f2(a899))))),
% 184.05/184.00 inference(rename_variables,[],[12025])).
% 184.05/184.00 cnf(14145,plain,
% 184.05/184.00 (~P1(f317(f317(f178(f906(x141451,f906(x141452,a895))),x141453),x141454))),
% 184.05/184.00 inference(rename_variables,[],[4635])).
% 184.05/184.00 cnf(14154,plain,
% 184.05/184.00 (P1(f317(f317(f224(f906(x141541,a895)),f317(f162(x141541),f166(x141541,x141542,x141543))),f317(f162(x141541),x141542)))),
% 184.05/184.00 inference(rename_variables,[],[4117])).
% 184.05/184.00 cnf(14175,plain,
% 184.05/184.00 (P1(f317(f317(f224(a899),f2(a899)),x141751))),
% 184.05/184.00 inference(rename_variables,[],[3457])).
% 184.05/184.00 cnf(14178,plain,
% 184.05/184.00 (P1(f317(f317(f224(f906(x141781,a895)),f317(f162(x141781),f166(x141781,x141782,x141783))),f317(f162(x141781),x141782)))),
% 184.05/184.00 inference(rename_variables,[],[4117])).
% 184.05/184.00 cnf(14181,plain,
% 184.05/184.00 (~P1(f317(f56(x141811,x141812,f178(f906(x141811,a895))),x141813))),
% 184.05/184.00 inference(rename_variables,[],[4630])).
% 184.05/184.00 cnf(14194,plain,
% 184.05/184.00 (~P1(f317(f317(f319(x141941),x141942),f178(f906(x141941,a895))))),
% 184.05/184.00 inference(rename_variables,[],[4620])).
% 184.05/184.00 cnf(14208,plain,
% 184.05/184.00 (~P1(f317(f317(f319(x142081),x142082),f178(f906(x142081,a895))))),
% 184.05/184.00 inference(rename_variables,[],[4620])).
% 184.05/184.00 cnf(14228,plain,
% 184.05/184.00 (E(f317(f274(x142281,x142281),f253(x142281,x142282)),x142282)),
% 184.05/184.00 inference(rename_variables,[],[3396])).
% 184.05/184.00 cnf(14254,plain,
% 184.05/184.00 (~P1(f317(f317(f319(a899),x142541),f317(f272(a899),f2(a899))))),
% 184.05/184.00 inference(rename_variables,[],[12025])).
% 184.05/184.00 cnf(14274,plain,
% 184.05/184.00 (~E(f317(f317(f141(x142741),x142742),x142743),x142743)),
% 184.05/184.00 inference(rename_variables,[],[4589])).
% 184.05/184.00 cnf(14297,plain,
% 184.05/184.00 (~P1(f317(f317(f319(a899),x142971),f317(f272(a899),f2(a899))))),
% 184.05/184.00 inference(rename_variables,[],[12025])).
% 184.05/184.00 cnf(14340,plain,
% 184.05/184.00 ($false),
% 184.05/184.00 inference(scs_inference,[],[3464,3866,3466,4163,4201,4009,3232,3438,13975,4633,3439,4610,4061,3510,4603,3527,3879,4637,4027,13970,14075,4620,13798,13809,13899,13935,14004,14066,14194,14208,4117,13938,14106,14154,14178,4582,4589,13764,13885,13894,14036,14097,14274,4592,14127,4598,3420,3514,4194,4070,3437,14024,3884,13945,3457,14058,14175,3741,3874,13904,3725,13824,14043,14081,3876,3586,3692,13957,3694,4297,3877,14033,3878,13978,3396,13759,13821,14228,3367,3391,13876,4638,4641,14122,4609,4617,4630,13812,14181,4635,14145,4631,4632,13779,13850,3637,11765,13960,13372,10783,10549,12089,12740,11577,13553,10802,13019,11294,12781,11142,11106,10971,13983,12027,11098,11474,11429,11299,13845,13869,11139,11563,11526,10915,10730,3492,3381,11204,13275,13278,10920,13551,13587,11913,12438,12535,13024,12025,13832,14137,14254,14297,12075,10928,11155,13924,13995,14063,11158,11400,11477,10910,12293,12296,11594,12700,13577,11435,11173,12604,11314,11057,3044,3978,2,8,9,4817,5063,5387,5764,6236,10077,10084,5062,5192,5125,8171,8636,9731,5250,5297,5371,6870,5844,5434,5474,6386,9589,4970,5487,6140,5191,8188,9701,6355,6893,9851,8177,5830,5134,6830,4731,9037,6336,5135,5399,6284,6396,9067,5551,6523,4727,5401,5662,5772,6063,8531,8891,7557,7917,5875,8730,9142,10093,6183,9244,5846,7144,8656,6419,4779,6297,7466,10075,10307,9480,4822,6692,7314,7955,8546,9207,5307,6594,6143,8256,5301,5314,6878,10082,7522,7907,8726,9426,6184,5724,7477,5490,5584,6234,7827,8597,10367,9658,5770,8332,8511,9977,5249,5828,6488,6582,6691,7452,8941,6287,5681,6161,7494,6848,8567,4772,6996,7672,8115,9406,4781,6117,6240,6377,6423,7317,5634,9174,5590,6200,6601,8577,8936,9636,9981,6278,6209,5771,8527,5383,5324,5286,8504,8811,6011,6361,7286,7839,9544,4985,5652,5919,7450,7583,9215,6420,5859,6013,4729,6353,6383,5645,10081,6238,6748,8172,9793,5107,6348,8773,6035,8875,5618,5816,5389,9896,5039,7628,8502,7475,8753,9786,7779,5535,6895,8357,9422,5440,5861,6350,8654,5820,4648,5258,9749,4999,10114,9910,9348,5272,9850,6850,8575,8154,5065,6025,6771,7035,8442,4674,9664,9751,5970,7966,8598,6338,5536,8683,9838,9065,8376,5824,5356,5382,6199,8976,5040,5633,6422,6369,8938,6388,6648,8892,8783,4757]),
% 184.05/184.00 ['proof']).
% 184.05/184.00 % SZS output end Proof
% 184.05/184.00 % Total time :163.230000s
%------------------------------------------------------------------------------